0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.vPtccZCsvA 0.13/0.34 % Computer : n017.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 16:04:34 EDT 2019 0.13/0.34 % CPUTime : 111.16/111.99 % Running portfolio for 180 s 111.16/111.99 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 111.16/111.99 % TempDir : /export/starexec/sandbox/tmp/tmp.vPtccZCsvA 111.16/111.99 % Recognized as monomorphic HO. 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 14 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 12 111.16/111.99 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 19 111.16/111.99 % Solved by: pragmatic.ll.e.sh 111.16/111.99 % Running : timeout 16 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.vPtccZCsvA/e_inputf0605c --cpu-limit=14 --auto-schedule -s -p. 111.16/111.99 % done 479 iterations in 13.112s 111.16/111.99 % hashcons stats for terms: size 4096, num 21891, sum length 40814, buckets: small 0, median 7, big 36 111.16/111.99 % proof state stats: {active 204, passive 6507, simpl 0} 111.16/111.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 111.16/111.99 % SZS output start Refutation 111.16/111.99 tff(funcext, axiom, funcext <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (func(A,B,Xf) => 111.16/111.99 (![Xg]: 111.16/111.99 (func(A,B,Xg) => 111.16/111.99 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 111.16/111.99 (Xf = Xg))))))). 111.16/111.99 tff('0', plain, 111.16/111.99 funcext = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (func(X2,X3,X5) => 111.16/111.99 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 111.16/111.99 (X4 = X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(eqbreln, axiom, eqbreln <=> 111.16/111.99 (![A,B,R]: 111.16/111.99 (breln(A,B,R) => 111.16/111.99 (![S]: 111.16/111.99 (breln(A,B,S) => 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 111.16/111.99 (R = S)))))))). 111.16/111.99 tff('1', plain, 111.16/111.99 eqbreln = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (breln(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (breln(X2,X3,X5) => 111.16/111.99 ((![X6]: 111.16/111.99 (in(X6,X2) => 111.16/111.99 (![X7]: 111.16/111.99 (in(X7,X3) => 111.16/111.99 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 111.16/111.99 ((![X8]: 111.16/111.99 (in(X8,X2) => 111.16/111.99 (![X9]: 111.16/111.99 (in(X9,X3) => 111.16/111.99 (in(kpair(X8,X9),X5) => in(kpair(X8,X9),X4)))))) => 111.16/111.99 (X4 = X5))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subbreln, axiom, subbreln <=> 111.16/111.99 (![A,B,R]: 111.16/111.99 (breln(A,B,R) => 111.16/111.99 (![S]: 111.16/111.99 (breln(A,B,S) => 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 111.16/111.99 subset(R,S))))))). 111.16/111.99 tff('2', plain, 111.16/111.99 subbreln = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (breln(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (breln(X2,X3,X5) => 111.16/111.99 ((![X6]: 111.16/111.99 (in(X6,X2) => 111.16/111.99 (![X7]: 111.16/111.99 (in(X7,X3) => 111.16/111.99 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 111.16/111.99 subset(X4,X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (in(Xf,funcSet(A,B)) => 111.16/111.99 (![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 111.16/111.99 tff('3', plain, 111.16/111.99 funcGraphProp4 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,funcSet(X2,X3)) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X2) => 111.16/111.99 (![X6]: 111.16/111.99 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcextLem, axiom, funcextLem <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (func(A,B,Xf) => 111.16/111.99 (![Xg]: 111.16/111.99 (func(A,B,Xg) => 111.16/111.99 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 111.16/111.99 (![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 111.16/111.99 tff('4', plain, 111.16/111.99 funcextLem = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (func(X2,X3,X5) => 111.16/111.99 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 111.16/111.99 (![X7]: 111.16/111.99 (in(X7,X2) => 111.16/111.99 (![X8]: 111.16/111.99 (in(X8,X3) => 111.16/111.99 (in(kpair(X7,X8),X5) => in(kpair(X7,X8),X4))))))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (func(A,B,Xf) => 111.16/111.99 (![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 111.16/111.99 tff('5', plain, 111.16/111.99 funcGraphProp2 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X2) => 111.16/111.99 (![X6]: 111.16/111.99 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (in(Xf,funcSet(A,B)) => 111.16/111.99 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 111.16/111.99 tff('6', plain, 111.16/111.99 funcGraphProp3 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,funcSet(X2,X3)) => 111.16/111.99 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 111.16/111.99 tff('7', plain, 111.16/111.99 funcGraphProp1 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => 111.16/111.99 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ex1E2, axiom, ex1E2 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 (ex1(A,^[Xx]: Xphi(Xx)) => 111.16/111.99 (![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 111.16/111.99 tff('8', plain, 111.16/111.99 ex1E2 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 (ex1(X2,^[V_1]: X3(V_1)) => 111.16/111.99 (![X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(brelnall2, axiom, brelnall2 <=> 111.16/111.99 (![A,B,R]: 111.16/111.99 (breln(A,B,R) => 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 111.16/111.99 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 111.16/111.99 tff('9', plain, 111.16/111.99 brelnall2 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (breln(X2,X3,X4) => 111.16/111.99 (![X5:($i > $o)]: 111.16/111.99 ((![X6]: 111.16/111.99 (in(X6,X2) => 111.16/111.99 (![X7]: 111.16/111.99 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 111.16/111.99 (![X8]: (in(X8,X4) => X5(X8))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(brelnall1, axiom, brelnall1 <=> 111.16/111.99 (![A,B,R]: 111.16/111.99 (breln(A,B,R) => 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 111.16/111.99 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 111.16/111.99 tff('10', plain, 111.16/111.99 brelnall1 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (breln(X2,X3,X4) => 111.16/111.99 (![X5:($i > $o)]: 111.16/111.99 ((![X6]: 111.16/111.99 (in(X6,X2) => 111.16/111.99 (![X7]: 111.16/111.99 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 111.16/111.99 (![X8]: (in(X8,X4) => X5(X8))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(lam2p, axiom, lam2p <=> 111.16/111.99 (![A,B,Xf:($i > $i)]: 111.16/111.99 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 111.16/111.99 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 111.16/111.99 tff('11', plain, 111.16/111.99 lam2p = 111.16/111.99 (![X2,X3,X4:($i > $i)]: 111.16/111.99 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 111.16/111.99 in(lam(X2,X3,^[V_1]: X4(V_1)),funcSet(X2,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(lamp, axiom, lamp <=> 111.16/111.99 (![A,B,Xf:($i > $i)]: 111.16/111.99 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 111.16/111.99 tff('12', plain, 111.16/111.99 lamp = 111.16/111.99 (![X2,X3,X4:($i > $i)]: 111.16/111.99 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 111.16/111.99 func(X2,X3,lam(X2,X3,^[V_1]: X4(V_1))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(lam, axiom, lam() = 111.16/111.99 ^[A,B,Xf:($i > $i)]: dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy))). 111.16/111.99 tff('13', plain, 111.16/111.99 lam = 111.16/111.99 (^[V_1,V_2,V_3:($i > $i)]: 111.16/111.99 dpsetconstr(V_1,V_2,^[V_4,V_5]: (V_3(V_4) = V_5))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(lamProp, axiom, lamProp <=> 111.16/111.99 (![A,B,Xf:($i > $i)]: 111.16/111.99 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 111.16/111.99 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 111.16/111.99 tff('14', plain, 111.16/111.99 lamProp = 111.16/111.99 (![X2,X3,X4:($i > $i)]: 111.16/111.99 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 111.16/111.99 func(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: (X4(V_1) = V_2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcinfuncset, axiom, funcinfuncset <=> 111.16/111.99 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 111.16/111.99 tff('15', plain, 111.16/111.99 funcinfuncset = (![X2,X3,X4]: (func(X2,X3,X4) => in(X4,funcSet(X2,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ap2p, axiom, ap2p <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 111.16/111.99 tff('16', plain, 111.16/111.99 ap2p = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,funcSet(X2,X3)) => 111.16/111.99 (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(infuncsetfunc, axiom, infuncsetfunc <=> 111.16/111.99 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 111.16/111.99 tff('17', plain, 111.16/111.99 infuncsetfunc = (![X2,X3,X4]: (in(X4,funcSet(X2,X3)) => func(X2,X3,X4))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(app, axiom, app <=> 111.16/111.99 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 111.16/111.99 tff('18', plain, 111.16/111.99 app = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(apProp, axiom, apProp <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (func(A,B,Xf) => 111.16/111.99 (![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 111.16/111.99 tff('19', plain, 111.16/111.99 apProp = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X2) => 111.16/111.99 in(setunion(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))),X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(funcImageSingleton, axiom, funcImageSingleton <=> 111.16/111.99 (![A,B,Xf]: 111.16/111.99 (func(A,B,Xf) => 111.16/111.99 (![Xx]: 111.16/111.99 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 111.16/111.99 tff('20', plain, 111.16/111.99 funcImageSingleton = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (func(X2,X3,X4) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X2) => 111.16/111.99 singleton(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dpsetconstrER, axiom, dpsetconstrER <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 111.16/111.99 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 111.16/111.99 tff('21', plain, 111.16/111.99 dpsetconstrER = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 111.16/111.99 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 111.16/111.99 X4(X5,X6))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 111.16/111.99 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 111.16/111.99 tff('22', plain, 111.16/111.99 dpsetconstrEL2 = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 111.16/111.99 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 111.16/111.99 in(X6,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 111.16/111.99 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 111.16/111.99 tff('23', plain, 111.16/111.99 dpsetconstrEL1 = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 111.16/111.99 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 111.16/111.99 in(X5,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o),Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => 111.16/111.99 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 111.16/111.99 Xphi(Xx,Xy))))))). 111.16/111.99 tff('24', plain, 111.16/111.99 dpsetconstrERa = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o),X5]: 111.16/111.99 (in(X5,X2) => 111.16/111.99 (![X6]: 111.16/111.99 (in(X6,X3) => 111.16/111.99 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 111.16/111.99 X4(X5,X6)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o)]: 111.16/111.99 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 111.16/111.99 tff('25', plain, 111.16/111.99 setOfPairsIsBReln = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o)]: 111.16/111.99 breln(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o)]: 111.16/111.99 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 111.16/111.99 tff('26', plain, 111.16/111.99 dpsetconstrSub = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o)]: 111.16/111.99 subset(dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)),cartprod(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dpsetconstrI, axiom, dpsetconstrI <=> 111.16/111.99 (![A,B,Xphi:(($i * $i) > $o),Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => 111.16/111.99 (Xphi(Xx,Xy) => 111.16/111.99 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 111.16/111.99 tff('27', plain, 111.16/111.99 dpsetconstrI = 111.16/111.99 (![X2,X3,X4:(($i * $i) > $o),X5]: 111.16/111.99 (in(X5,X2) => 111.16/111.99 (![X6]: 111.16/111.99 (in(X6,X3) => 111.16/111.99 (X4(X5,X6) => 111.16/111.99 in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 111.16/111.99 tff('28', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 111.16/111.99 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 111.16/111.99 tff('29', plain, 111.16/111.99 cartprodpairsurjEq = 111.16/111.99 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => (kpair(kfst(X4),ksnd(X4)) = X4))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 111.16/111.99 tff('30', plain, 111.16/111.99 cartprodsndpairEq = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => (![X5]: (in(X5,X3) => (ksnd(kpair(X4,X5)) = X5))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 111.16/111.99 tff('31', plain, 111.16/111.99 cartprodfstpairEq = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => (![X5]: (in(X5,X3) => (kfst(kpair(X4,X5)) = X4))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 111.16/111.99 tff('32', plain, 111.16/111.99 cartprodmempaircEq = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => (![X5]: (in(X5,X3) => (kpair(X4,X5) = kpair(X4,X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 111.16/111.99 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 111.16/111.99 tff('33', plain, 111.16/111.99 cartprodpairmemER = 111.16/111.99 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X5,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 111.16/111.99 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 111.16/111.99 tff('34', plain, 111.16/111.99 cartprodpairmemEL = 111.16/111.99 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X4,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodsndin, axiom, cartprodsndin <=> 111.16/111.99 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 111.16/111.99 tff('35', plain, 111.16/111.99 cartprodsndin = 111.16/111.99 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(ksnd(X4),X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(kpairsurjEq, axiom, kpairsurjEq <=> 111.16/111.99 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 111.16/111.99 tff('36', plain, 111.16/111.99 kpairsurjEq = (![X2]: (iskpair(X2) => (kpair(kfst(X2),ksnd(X2)) = X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 111.16/111.99 tff('37', plain, ksndpairEq = (![X2,X3]: (ksnd(kpair(X2,X3)) = X3)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ksndsingleton, axiom, ksndsingleton <=> 111.16/111.99 (![Xu]: 111.16/111.99 (iskpair(Xu) => 111.16/111.99 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 111.16/111.99 tff('38', plain, 111.16/111.99 ksndsingleton = 111.16/111.99 (![X2]: 111.16/111.99 (iskpair(X2) => 111.16/111.99 singleton(dsetconstr(setunion(X2),^[V_1]: (X2 = kpair(kfst(X2),V_1)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjR, axiom, setukpairinjR <=> 111.16/111.99 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 111.16/111.99 tff('39', plain, 111.16/111.99 setukpairinjR = 111.16/111.99 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X3 = X5))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 111.16/111.99 (![Xx,Xy,Xz,Xu]: 111.16/111.99 ((setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(Xz,emptyset), 111.16/111.99 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 111.16/111.99 (Xy = Xu)))). 111.16/111.99 tff('40', plain, 111.16/111.99 setukpairinjR2 = 111.16/111.99 (![X2,X3,X4,X5]: 111.16/111.99 ((setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(X4,emptyset), 111.16/111.99 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 111.16/111.99 (X3 = X5))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(upairequniteq, axiom, upairequniteq <=> 111.16/111.99 (![Xx,Xy,Xz]: 111.16/111.99 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 111.16/111.99 (Xx = Xy)))). 111.16/111.99 tff('41', plain, 111.16/111.99 upairequniteq = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 ((setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X4,emptyset)) => 111.16/111.99 (X2 = X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 111.16/111.99 (![Xx,Xy,Xz,Xu]: 111.16/111.99 ((setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(Xz,emptyset), 111.16/111.99 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 111.16/111.99 ((Xz = Xu) => (Xy = Xu))))). 111.16/111.99 tff('42', plain, 111.16/111.99 setukpairinjR1 = 111.16/111.99 (![X2,X3,X4,X5]: 111.16/111.99 ((setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(X4,emptyset), 111.16/111.99 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 111.16/111.99 ((X4 = X5) => (X3 = X5)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 111.16/111.99 (![Xx,Xy]: 111.16/111.99 ((Xx = Xy) => 111.16/111.99 (setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 111.16/111.99 tff('43', plain, 111.16/111.99 setukpairinjR12 = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((X2 = X3) => 111.16/111.99 (setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(X2,emptyset),emptyset)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 111.16/111.99 (![Xx,Xy]: 111.16/111.99 ((Xx = Xy) => 111.16/111.99 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 111.16/111.99 tff('44', plain, 111.16/111.99 setukpairinjR11 = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((X2 = X3) => 111.16/111.99 (setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X2,emptyset)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjL, axiom, setukpairinjL <=> 111.16/111.99 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 111.16/111.99 tff('45', plain, 111.16/111.99 setukpairinjL = 111.16/111.99 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X2 = X4))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 111.16/111.99 (![Xx,Xy,Xz,Xu]: 111.16/111.99 ((setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(Xz,emptyset), 111.16/111.99 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 111.16/111.99 (Xx = Xz)))). 111.16/111.99 tff('46', plain, 111.16/111.99 setukpairinjL2 = 111.16/111.99 (![X2,X3,X4,X5]: 111.16/111.99 ((setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 111.16/111.99 setadjoin(setadjoin(X4,emptyset), 111.16/111.99 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 111.16/111.99 (X2 = X4))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodfstin, axiom, cartprodfstin <=> 111.16/111.99 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 111.16/111.99 tff('47', plain, 111.16/111.99 cartprodfstin = 111.16/111.99 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(kfst(X4),X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 111.16/111.99 tff('48', plain, kfstpairEq = (![X2,X3]: (kfst(kpair(X2,X3)) = X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 111.16/111.99 tff('49', plain, theprop = (![X2]: (singleton(X2) => in(setunion(X2),X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(kfstsingleton, axiom, kfstsingleton <=> 111.16/111.99 (![Xu]: 111.16/111.99 (iskpair(Xu) => 111.16/111.99 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 111.16/111.99 tff('50', plain, 111.16/111.99 kfstsingleton = 111.16/111.99 (![X2]: 111.16/111.99 (iskpair(X2) => 111.16/111.99 singleton(dsetconstr(setunion(X2), 111.16/111.99 ^[V_1]: in(setadjoin(V_1,emptyset),X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 111.16/111.99 (![Xx,Xy,Xz]: 111.16/111.99 (in(setadjoin(Xz,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 111.16/111.99 (Xx = Xz)))). 111.16/111.99 tff('51', plain, 111.16/111.99 setukpairinjL1 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(setadjoin(X4,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset))) => 111.16/111.99 (X2 = X4))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(singletonsuniq, axiom, singletonsuniq <=> 111.16/111.99 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 111.16/111.99 tff('52', plain, 111.16/111.99 singletonsuniq = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((setadjoin(X2,emptyset) = setadjoin(X3,emptyset)) => (X2 = X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ex1I2, axiom, ex1I2 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 111.16/111.99 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 111.16/111.99 tff('53', plain, 111.16/111.99 ex1I2 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((![X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 111.16/111.99 ((?[X6]: (X3(X6) & in(X6,X2))) => ex1(X2,^[V_1]: X3(V_1))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ex1I, axiom, ex1I <=> 111.16/111.99 (![A,Xphi:($i > $o),Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (Xphi(Xx) => 111.16/111.99 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 111.16/111.99 ex1(A,^[Xy]: Xphi(Xy))))))). 111.16/111.99 tff('54', plain, 111.16/111.99 ex1I = 111.16/111.99 (![X2,X3:($i > $o),X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (X3(X4) => 111.16/111.99 ((![X5]: (in(X5,X2) => (X3(X5) => (X5 = X4)))) => 111.16/111.99 ex1(X2,^[V_1]: X3(V_1)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ex1E1, axiom, ex1E1 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 111.16/111.99 tff('55', plain, 111.16/111.99 ex1E1 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 (ex1(X2,^[V_1]: X3(V_1)) => (?[X4]: (X3(X4) & in(X4,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ex1, axiom, ex1() = 111.16/111.99 ^[A,Xphi:($i > $o)]: singleton(dsetconstr(A,^[Xx]: Xphi(Xx)))). 111.16/111.99 tff('56', plain, 111.16/111.99 ex1 = (^[V_1,V_2:($i > $o)]: singleton(dsetconstr(V_1,^[V_3]: V_2(V_3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(singletonprop, axiom, singletonprop <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 111.16/111.99 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 111.16/111.99 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 111.16/111.99 tff('57', plain, 111.16/111.99 singletonprop = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((![X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 111.16/111.99 ((?[X6]: (X3(X6) & in(X6,X2))) => 111.16/111.99 singleton(dsetconstr(X2,^[V_1]: X3(V_1)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(singleton, axiom, singleton() = 111.16/111.99 ^[A]: (?[Xx]: ((A = setadjoin(Xx,emptyset)) & in(Xx,A)))). 111.16/111.99 tff('58', plain, 111.16/111.99 singleton = 111.16/111.99 (^[V_1]: (?[X2]: ((V_1 = setadjoin(X2,emptyset)) & in(X2,V_1)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setunionsingleton, axiom, setunionsingleton <=> 111.16/111.99 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 111.16/111.99 tff('59', plain, 111.16/111.99 setunionsingleton = (![X2]: (setunion(setadjoin(X2,emptyset)) = X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 111.16/111.99 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 111.16/111.99 tff('60', plain, 111.16/111.99 setunionsingleton2 = (![X2]: subset(X2,setunion(setadjoin(X2,emptyset)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 111.16/111.99 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 111.16/111.99 tff('61', plain, 111.16/111.99 setunionsingleton1 = (![X2]: subset(setunion(setadjoin(X2,emptyset)),X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setunionE2, axiom, setunionE2 <=> 111.16/111.99 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 111.16/111.99 tff('62', plain, 111.16/111.99 setunionE2 = 111.16/111.99 (![X2,X3]: (in(X3,setunion(X2)) => (?[X4]: (in(X3,X4) & in(X4,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodmempair, axiom, cartprodmempair <=> 111.16/111.99 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 111.16/111.99 tff('63', plain, 111.16/111.99 cartprodmempair = (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => iskpair(X4))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 111.16/111.99 (![A,B,Xu]: 111.16/111.99 (in(Xu,cartprod(A,B)) => 111.16/111.99 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 111.16/111.99 tff('64', plain, 111.16/111.99 cartprodmempair1 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,cartprod(X2,X3)) => 111.16/111.99 (?[X5]: ((?[X6]: ((X4 = kpair(X5,X6)) & in(X6,X3))) & in(X5,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(cartprodpairin, axiom, cartprodpairin <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 111.16/111.99 tff('65', plain, 111.16/111.99 cartprodpairin = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => (![X5]: (in(X5,X3) => in(kpair(X4,X5),cartprod(X2,X3)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 111.16/111.99 tff('66', plain, 111.16/111.99 ubforcartprodlem3 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X3) => in(kpair(X4,X5),powerset(powerset(binunion(X2,X3)))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => 111.16/111.99 in(setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 111.16/111.99 emptyset)), 111.16/111.99 powerset(powerset(binunion(A,B))))))))). 111.16/111.99 tff('67', plain, 111.16/111.99 ubforcartprodlem2 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X3) => 111.16/111.99 in(setadjoin(setadjoin(X4,emptyset), 111.16/111.99 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 111.16/111.99 emptyset)), 111.16/111.99 powerset(powerset(binunion(X2,X3)))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => 111.16/111.99 subset(setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 111.16/111.99 emptyset)), 111.16/111.99 powerset(binunion(A,B)))))))). 111.16/111.99 tff('68', plain, 111.16/111.99 ubforcartprodlem1 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X3) => 111.16/111.99 subset(setadjoin(setadjoin(X4,emptyset), 111.16/111.99 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 111.16/111.99 emptyset)), 111.16/111.99 powerset(binunion(X2,X3))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(upairinpowunion, axiom, upairinpowunion <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => 111.16/111.99 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 111.16/111.99 tff('69', plain, 111.16/111.99 upairinpowunion = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X3) => 111.16/111.99 in(setadjoin(X4,setadjoin(X5,emptyset)),powerset(binunion(X2,X3))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(upairsubunion, axiom, upairsubunion <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: 111.16/111.99 (in(Xy,B) => 111.16/111.99 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 111.16/111.99 tff('70', plain, 111.16/111.99 upairsubunion = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => 111.16/111.99 (![X5]: 111.16/111.99 (in(X5,X3) => 111.16/111.99 subset(setadjoin(X4,setadjoin(X5,emptyset)),binunion(X2,X3)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(upairset2E, axiom, upairset2E <=> 111.16/111.99 (![Xx,Xy,Xz]: 111.16/111.99 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 111.16/111.99 tff('71', plain, 111.16/111.99 upairset2E = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 111.16/111.99 ((X4 = X3) | (X4 = X2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(singletoninpowunion, axiom, singletoninpowunion <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 111.16/111.99 tff('72', plain, 111.16/111.99 singletoninpowunion = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,X2) => in(setadjoin(X4,emptyset),powerset(binunion(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(singletoninpowerset, axiom, singletoninpowerset <=> 111.16/111.99 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 111.16/111.99 tff('73', plain, 111.16/111.99 singletoninpowerset = 111.16/111.99 (![X2,X3]: (in(X3,X2) => in(setadjoin(X3,emptyset),powerset(X2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(singletonsubset, axiom, singletonsubset <=> 111.16/111.99 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 111.16/111.99 tff('74', plain, 111.16/111.99 singletonsubset = 111.16/111.99 (![X2,X3]: (in(X3,X2) => subset(setadjoin(X3,emptyset),X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 111.16/111.99 tff('75', plain, kpairp = (![X2,X3]: iskpair(kpair(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(kpairiskpair, axiom, kpairiskpair <=> 111.16/111.99 (![Xx,Xy]: 111.16/111.99 iskpair(setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 111.16/111.99 emptyset))))). 111.16/111.99 tff('76', plain, 111.16/111.99 kpairiskpair = 111.16/111.99 (![X2,X3]: 111.16/111.99 iskpair(setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 111.16/111.99 emptyset)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairIR, axiom, setukpairIR <=> 111.16/111.99 (![Xx,Xy]: 111.16/111.99 in(Xy, 111.16/111.99 setunion(setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 111.16/111.99 emptyset)))))). 111.16/111.99 tff('77', plain, 111.16/111.99 setukpairIR = 111.16/111.99 (![X2,X3]: 111.16/111.99 in(X3, 111.16/111.99 setunion(setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 111.16/111.99 emptyset))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setukpairIL, axiom, setukpairIL <=> 111.16/111.99 (![Xx,Xy]: 111.16/111.99 in(Xx, 111.16/111.99 setunion(setadjoin(setadjoin(Xx,emptyset), 111.16/111.99 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 111.16/111.99 emptyset)))))). 111.16/111.99 tff('78', plain, 111.16/111.99 setukpairIL = 111.16/111.99 (![X2,X3]: 111.16/111.99 in(X2, 111.16/111.99 setunion(setadjoin(setadjoin(X2,emptyset), 111.16/111.99 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 111.16/111.99 emptyset))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(secondinupair, axiom, secondinupair <=> 111.16/111.99 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 111.16/111.99 tff('79', plain, 111.16/111.99 secondinupair = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 111.16/111.99 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 111.16/111.99 tff('80', plain, 111.16/111.99 symdiffIneg2 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 ((~in(X4,X2)) => ((~in(X4,X3)) => (~in(X4,symdiff(X2,X3)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 111.16/111.99 tff('81', plain, 111.16/111.99 symdiffIneg1 = 111.16/111.99 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,symdiff(X2,X3)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(symdiffI2, axiom, symdiffI2 <=> 111.16/111.99 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 111.16/111.99 tff('82', plain, 111.16/111.99 symdiffI2 = 111.16/111.99 (![X2,X3,X4]: ((~in(X4,X2)) => (in(X4,X3) => in(X4,symdiff(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(symdiffI1, axiom, symdiffI1 <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 111.16/111.99 tff('83', plain, 111.16/111.99 symdiffI1 = 111.16/111.99 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,symdiff(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(symdiffE, axiom, symdiffE <=> 111.16/111.99 (![A,B,Xx]: 111.16/111.99 (in(Xx,symdiff(A,B)) => 111.16/111.99 (![Xphi:$o]: 111.16/111.99 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 111.16/111.99 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 111.16/111.99 tff('84', plain, 111.16/111.99 symdiffE = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (in(X4,symdiff(X2,X3)) => 111.16/111.99 (![X5:$o]: 111.16/111.99 ((in(X4,X2) => ((~in(X4,X3)) => X5)) => 111.16/111.99 (((~in(X4,X2)) => (in(X4,X3) => X5)) => X5))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusSubset1, axiom, setminusSubset1 <=> 111.16/111.99 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 111.16/111.99 tff('85', plain, 111.16/111.99 setminusSubset1 = 111.16/111.99 (![X2,X3]: ((setminus(X2,X3) = emptyset) => subset(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 111.16/111.99 tff('86', plain, setminusLsub = (![X2,X3]: subset(setminus(X2,X3),X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusIRneg, axiom, setminusIRneg <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 111.16/111.99 tff('87', plain, 111.16/111.99 setminusIRneg = (![X2,X3,X4]: (in(X4,X3) => (~in(X4,setminus(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusILneg, axiom, setminusILneg <=> 111.16/111.99 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 111.16/111.99 tff('88', plain, 111.16/111.99 setminusILneg = 111.16/111.99 (![X2,X3,X4]: ((~in(X4,X2)) => (~in(X4,setminus(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusELneg, axiom, setminusELneg <=> 111.16/111.99 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 111.16/111.99 tff('89', plain, 111.16/111.99 setminusELneg = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 ((~in(X4,setminus(X2,X3))) => ((~in(X4,X3)) => (~in(X4,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusERneg, axiom, setminusERneg <=> 111.16/111.99 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 111.16/111.99 tff('90', plain, 111.16/111.99 setminusERneg = 111.16/111.99 (![X2,X3,X4]: ((~in(X4,setminus(X2,X3))) => (in(X4,X2) => in(X4,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusSubset2, axiom, setminusSubset2 <=> 111.16/111.99 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 111.16/111.99 tff('91', plain, 111.16/111.99 setminusSubset2 = 111.16/111.99 (![X2,X3]: (subset(X2,X3) => (setminus(X2,X3) = emptyset))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusER, axiom, setminusER <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 111.16/111.99 tff('92', plain, 111.16/111.99 setminusER = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => (~in(X4,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusEL, axiom, setminusEL <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 111.16/111.99 tff('93', plain, 111.16/111.99 setminusEL = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => in(X4,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setminusI, axiom, setminusI <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 111.16/111.99 tff('94', plain, 111.16/111.99 setminusI = 111.16/111.99 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,setminus(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(bs114d, axiom, bs114d <=> 111.16/111.99 (![A,B,C]: 111.16/111.99 (binintersect(A,binunion(B,C)) = 111.16/111.99 binunion(binintersect(A,B),binintersect(A,C))))). 111.16/111.99 tff('95', plain, 111.16/111.99 bs114d = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (binintersect(X2,binunion(X3,X4)) = 111.16/111.99 binunion(binintersect(X2,X3),binintersect(X2,X4)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 111.16/111.99 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 111.16/111.99 tff('96', plain, 111.16/111.99 binintersectSubset1 = 111.16/111.99 (![X2,X3]: ((binintersect(X2,X3) = X2) => subset(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 111.16/111.99 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 111.16/111.99 tff('97', plain, 111.16/111.99 binintersectSubset4 = 111.16/111.99 (![X2,X3]: (subset(X3,X2) => (binintersect(X2,X3) = X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectRsub, axiom, binintersectRsub <=> 111.16/111.99 (![A,B]: subset(binintersect(A,B),B))). 111.16/111.99 tff('98', plain, 111.16/111.99 binintersectRsub = (![X2,X3]: subset(binintersect(X2,X3),X3)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 111.16/111.99 (![A,B]: 111.16/111.99 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 111.16/111.99 tff('99', plain, 111.16/111.99 disjointsetsI1 = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((~(?[X4]: (in(X4,X3) & in(X4,X2)))) => 111.16/111.99 (binintersect(X2,X3) = emptyset))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectER, axiom, binintersectER <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 111.16/111.99 tff('100', plain, 111.16/111.99 binintersectER = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 111.16/111.99 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 111.16/111.99 tff('101', plain, 111.16/111.99 binintersectSubset3 = 111.16/111.99 (![X2,X3]: ((binintersect(X2,X3) = X3) => subset(X3,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 111.16/111.99 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 111.16/111.99 tff('102', plain, 111.16/111.99 binintersectSubset2 = 111.16/111.99 (![X2,X3]: (subset(X2,X3) => (binintersect(X2,X3) = X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectLsub, axiom, binintersectLsub <=> 111.16/111.99 (![A,B]: subset(binintersect(A,B),A))). 111.16/111.99 tff('103', plain, 111.16/111.99 binintersectLsub = (![X2,X3]: subset(binintersect(X2,X3),X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectEL, axiom, binintersectEL <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 111.16/111.99 tff('104', plain, 111.16/111.99 binintersectEL = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 111.16/111.99 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 111.16/111.99 tff('105', plain, 111.16/111.99 binintersectSubset5 = 111.16/111.99 (![X2,X3,X4]: 111.16/111.99 (subset(X4,X2) => (subset(X4,X3) => subset(X4,binintersect(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binintersectI, axiom, binintersectI <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 111.16/111.99 tff('106', plain, 111.16/111.99 binintersectI = 111.16/111.99 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 111.16/111.99 tff('107', plain, binunionRsub = (![X2,X3]: subset(X3,binunion(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 111.16/111.99 tff('108', plain, binunionLsub = (![X2,X3]: subset(X2,binunion(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binunionE, axiom, binunionE <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,B) | in(Xx,A))))). 111.16/111.99 tff('109', plain, 111.16/111.99 binunionE = 111.16/111.99 (![X2,X3,X4]: (in(X4,binunion(X2,X3)) => (in(X4,X3) | in(X4,X2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binunionEcases, axiom, binunionEcases <=> 111.16/111.99 (![A,B,Xx,Xphi:$o]: 111.16/111.99 (in(Xx,binunion(A,B)) => 111.16/111.99 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 111.16/111.99 tff('110', plain, 111.16/111.99 binunionEcases = 111.16/111.99 (![X2,X3,X4,X5:$o]: 111.16/111.99 (in(X4,binunion(X2,X3)) => 111.16/111.99 ((in(X4,X2) => X5) => ((in(X4,X3) => X5) => X5)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binunionIR, axiom, binunionIR <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 111.16/111.99 tff('111', plain, 111.16/111.99 binunionIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,binunion(X2,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(upairset2IR, axiom, upairset2IR <=> 111.16/111.99 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 111.16/111.99 tff('112', plain, 111.16/111.99 upairset2IR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(binunionIL, axiom, binunionIL <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 111.16/111.99 tff('113', plain, 111.16/111.99 binunionIL = (![X2,X3,X4]: (in(X4,X2) => in(X4,binunion(X2,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(sepSubset, axiom, sepSubset <=> 111.16/111.99 (![A,Xphi:($i > $o)]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 111.16/111.99 tff('114', plain, 111.16/111.99 sepSubset = 111.16/111.99 (![X2,X3:($i > $o)]: subset(dsetconstr(X2,^[V_1]: X3(V_1)),X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(sepInPowerset, axiom, sepInPowerset <=> 111.16/111.99 (![A,Xphi:($i > $o)]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 111.16/111.99 tff('115', plain, 111.16/111.99 sepInPowerset = 111.16/111.99 (![X2,X3:($i > $o)]: in(dsetconstr(X2,^[V_1]: X3(V_1)),powerset(X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(powersetsubset, axiom, powersetsubset <=> 111.16/111.99 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 111.16/111.99 tff('116', plain, 111.16/111.99 powersetsubset = 111.16/111.99 (![X2,X3]: (subset(X2,X3) => subset(powerset(X2),powerset(X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 111.16/111.99 tff('117', plain, inPowerset = (![X2]: in(X2,powerset(X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(powersetE1, axiom, powersetE1 <=> 111.16/111.99 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 111.16/111.99 tff('118', plain, 111.16/111.99 powersetE1 = (![X2,X3]: (in(X3,powerset(X2)) => subset(X3,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(powersetI1, axiom, powersetI1 <=> 111.16/111.99 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 111.16/111.99 tff('119', plain, 111.16/111.99 powersetI1 = (![X2,X3]: (subset(X3,X2) => in(X3,powerset(X2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 111.16/111.99 (![A]: (subset(A,emptyset) => (A = emptyset)))). 111.16/111.99 tff('120', plain, 111.16/111.99 subsetemptysetimpeq = (![X2]: (subset(X2,emptyset) => (X2 = emptyset))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setextsub, axiom, setextsub <=> 111.16/111.99 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 111.16/111.99 tff('121', plain, 111.16/111.99 setextsub = (![X2,X3]: (subset(X2,X3) => (subset(X3,X2) => (X2 = X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subset2powerset, axiom, subset2powerset <=> 111.16/111.99 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 111.16/111.99 tff('122', plain, 111.16/111.99 subset2powerset = (![X2,X3]: (subset(X2,X3) => in(X2,powerset(X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 111.16/111.99 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 111.16/111.99 tff('123', plain, 111.16/111.99 setadjoinSub2 = 111.16/111.99 (![X2,X3,X4]: (subset(X2,X4) => subset(X2,setadjoin(X3,X4)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setadjoinSub, axiom, setadjoinSub <=> 111.16/111.99 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 111.16/111.99 tff('124', plain, setadjoinSub = (![X2,X3]: subset(X3,setadjoin(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetTrans, axiom, subsetTrans <=> 111.16/111.99 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 111.16/111.99 tff('125', plain, 111.16/111.99 subsetTrans = 111.16/111.99 (![X2,X3,X4]: (subset(X2,X3) => (subset(X3,X4) => subset(X2,X4)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 111.16/111.99 tff('126', plain, subsetRefl = (![X2]: subset(X2,X2)), define([status(thm)])). 111.16/111.99 tff(notequalI2, axiom, notequalI2 <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 111.16/111.99 tff('127', plain, 111.16/111.99 notequalI2 = (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (X2 != X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 111.16/111.99 tff('128', plain, notequalI1 = (![X2,X3]: ((~subset(X2,X3)) => (X2 != X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(notsubsetI, axiom, notsubsetI <=> 111.16/111.99 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 111.16/111.99 tff('129', plain, 111.16/111.99 notsubsetI = 111.16/111.99 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (~subset(X2,X3))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetE2, axiom, subsetE2 <=> 111.16/111.99 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 111.16/111.99 tff('130', plain, 111.16/111.99 subsetE2 = 111.16/111.99 (![X2,X3,X4]: (subset(X2,X3) => ((~in(X4,X3)) => (~in(X4,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetE, axiom, subsetE <=> 111.16/111.99 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 111.16/111.99 tff('131', plain, 111.16/111.99 subsetE = (![X2,X3,X4]: (subset(X2,X3) => (in(X4,X2) => in(X4,X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 111.16/111.99 tff('132', plain, emptysetsubset = (![X2]: subset(emptyset,X2)), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetI2, axiom, subsetI2 <=> 111.16/111.99 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 111.16/111.99 tff('133', plain, 111.16/111.99 subsetI2 = 111.16/111.99 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 111.16/111.99 tff('134', plain, eqimpsubset1 = (![X2,X3]: ((X2 = X3) => subset(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 111.16/111.99 tff('135', plain, eqimpsubset2 = (![X2,X3]: ((X2 = X3) => subset(X3,X2))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(subsetI1, axiom, subsetI1 <=> 111.16/111.99 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 111.16/111.99 tff('136', plain, 111.16/111.99 subsetI1 = 111.16/111.99 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 111.16/111.99 (![A,B]: 111.16/111.99 ((A = B) => 111.16/111.99 (![Xphi:($i > $o),Xpsi:($i > $o)]: 111.16/111.99 ((![Xx]: 111.16/111.99 (in(Xx,A) => 111.16/111.99 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 111.16/111.99 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 111.16/111.99 tff('137', plain, 111.16/111.99 dsetconstr__Cong = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((X2 = X3) => 111.16/111.99 (![X4:($i > $o),X5:($i > $o)]: 111.16/111.99 ((![X6]: 111.16/111.99 (in(X6,X2) => 111.16/111.99 (![X7]: (in(X7,X3) => ((X6 = X7) => (X4(X6) <=> X5(X7))))))) => 111.16/111.99 (dsetconstr(X2,^[V_1]: X4(V_1)) = dsetconstr(X3,^[V_2]: X5(V_2))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(descr__Cong, axiom, descr__Cong <=> 111.16/111.99 (![Xphi:($i > $o),Xpsi:($i > $o)]: 111.16/111.99 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 111.16/111.99 (exu(^[Xx]: Xphi(Xx)) => 111.16/111.99 (exu(^[Xx]: Xpsi(Xx)) => 111.16/111.99 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 111.16/111.99 tff('138', plain, 111.16/111.99 descr__Cong = 111.16/111.99 (![X2:($i > $o),X3:($i > $o)]: 111.16/111.99 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 111.16/111.99 (exu(^[V_1]: X2(V_1)) => 111.16/111.99 (exu(^[V_2]: X3(V_2)) => 111.16/111.99 (descr(^[V_3]: X2(V_3)) = descr(^[V_4]: X3(V_4))))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(exuEu, axiom, exuEu <=> 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 (exu(^[Xx]: Xphi(Xx)) => 111.16/111.99 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 111.16/111.99 tff('139', plain, 111.16/111.99 exuEu = 111.16/111.99 (![X2:($i > $o)]: 111.16/111.99 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 111.16/111.99 tff('140', plain, omega__Cong = (omega = omega), define([status(thm)])). 111.16/111.99 tff(setunion__Cong, axiom, setunion__Cong <=> 111.16/111.99 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 111.16/111.99 tff('141', plain, 111.16/111.99 setunion__Cong = (![X2,X3]: ((X2 = X3) => (setunion(X2) = setunion(X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(powerset__Cong, axiom, powerset__Cong <=> 111.16/111.99 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 111.16/111.99 tff('142', plain, 111.16/111.99 powerset__Cong = (![X2,X3]: ((X2 = X3) => (powerset(X2) = powerset(X3)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 111.16/111.99 (![Xx,Xy]: 111.16/111.99 ((Xx = Xy) => 111.16/111.99 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 111.16/111.99 tff('143', plain, 111.16/111.99 setadjoin__Cong = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((X2 = X3) => 111.16/111.99 (![X4,X5]: ((X4 = X5) => (setadjoin(X2,X4) = setadjoin(X3,X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 111.16/111.99 tff('144', plain, emptyset__Cong = (emptyset = emptyset), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(exu__Cong, axiom, exu__Cong <=> 111.16/111.99 (![Xphi:($i > $o),Xpsi:($i > $o)]: 111.16/111.99 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 111.16/111.99 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 111.16/111.99 tff('145', plain, 111.16/111.99 exu__Cong = 111.16/111.99 (![X2:($i > $o),X3:($i > $o)]: 111.16/111.99 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 111.16/111.99 (exu(^[V_1]: X2(V_1)) <=> exu(^[V_2]: X3(V_2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(exuE3u, axiom, exuE3u <=> 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 (exu(^[Xx]: Xphi(Xx)) => 111.16/111.99 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 111.16/111.99 tff('146', plain, 111.16/111.99 exuE3u = 111.16/111.99 (![X2:($i > $o)]: 111.16/111.99 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(in__Cong, axiom, in__Cong <=> 111.16/111.99 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 111.16/111.99 tff('147', plain, 111.16/111.99 in__Cong = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) <=> in(X5,X3)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(inCongP, axiom, inCongP <=> 111.16/111.99 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 111.16/111.99 tff('148', plain, 111.16/111.99 inCongP = 111.16/111.99 (![X2,X3]: 111.16/111.99 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) => in(X5,X3)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(exuI2, axiom, exuI2 <=> 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 111.16/111.99 tff('149', plain, 111.16/111.99 exuI2 = 111.16/111.99 (![X2:($i > $o)]: 111.16/111.99 ((?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))) => exu(^[V_1]: X2(V_1)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(exuI3, axiom, exuI3 <=> 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 ((?[Xx]: Xphi(Xx)) => 111.16/111.99 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 111.16/111.99 exu(^[Xx]: Xphi(Xx)))))). 111.16/111.99 tff('150', plain, 111.16/111.99 exuI3 = 111.16/111.99 (![X2:($i > $o)]: 111.16/111.99 ((?[X3]: X2(X3)) => 111.16/111.99 ((![X4,X5]: (X2(X4) => (X2(X5) => (X4 = X5)))) => 111.16/111.99 exu(^[V_1]: X2(V_1))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(exuI1, axiom, exuI1 <=> 111.16/111.99 (![Xphi:($i > $o)]: 111.16/111.99 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 111.16/111.99 exu(^[Xx]: Xphi(Xx))))). 111.16/111.99 tff('151', plain, 111.16/111.99 exuI1 = 111.16/111.99 (![X2:($i > $o)]: 111.16/111.99 ((?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))) => 111.16/111.99 exu(^[V_1]: X2(V_1)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(notdallE, axiom, notdallE <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 111.16/111.99 tff('152', plain, 111.16/111.99 notdallE = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(notdexE, axiom, notdexE <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 111.16/111.99 tff('153', plain, 111.16/111.99 notdexE = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(prop2set2propI, axiom, prop2set2propI <=> 111.16/111.99 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 111.16/111.99 tff('154', plain, 111.16/111.99 prop2set2propI = (![X2:$o]: (X2 => set2prop(prop2set(X2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(prop2setI, axiom, prop2setI <=> 111.16/111.99 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 111.16/111.99 tff('155', plain, prop2setI = (![X2:$o]: (X2 => in(emptyset,prop2set(X2)))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 111.16/111.99 tff('156', plain, 111.16/111.99 quantDeMorgan4 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((?[X4]: ((~X3(X4)) & in(X4,X2))) => (~(![X5]: (in(X5,X2) => X3(X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 111.16/111.99 tff('157', plain, 111.16/111.99 quantDeMorgan3 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 111.16/111.99 tff('158', plain, 111.16/111.99 quantDeMorgan2 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((![X4]: (in(X4,X2) => (~X3(X4)))) => (~(?[X5]: (X3(X5) & in(X5,X2)))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 111.16/111.99 tff('159', plain, 111.16/111.99 quantDeMorgan1 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(vacuousDall, axiom, vacuousDall <=> 111.16/111.99 (![Xphi:($i > $o),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 111.16/111.99 tff('160', plain, 111.16/111.99 vacuousDall = (![X2:($i > $o),X3]: (in(X3,emptyset) => X2(X3))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(emptyE1, axiom, emptyE1 <=> 111.16/111.99 (![A,Xphi:($i > $o)]: 111.16/111.99 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 111.16/111.99 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 111.16/111.99 tff('161', plain, 111.16/111.99 emptyE1 = 111.16/111.99 (![X2,X3:($i > $o)]: 111.16/111.99 ((?[X4]: (X3(X4) & in(X4,X2))) => 111.16/111.99 ((dsetconstr(X2,^[V_1]: X3(V_1)) = emptyset) => $false))), 111.16/111.99 define([status(thm)])). 111.16/111.99 tff(upairsetIR, axiom, upairsetIR <=> 111.16/111.99 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 111.16/112.00 tff('162', plain, 111.16/112.00 upairsetIR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(upairsetIL, axiom, upairsetIL <=> 111.16/112.00 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 111.16/112.00 tff('163', plain, 111.16/112.00 upairsetIL = (![X2,X3]: in(X2,setadjoin(X2,setadjoin(X3,emptyset)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(upairsetE, axiom, upairsetE <=> 111.16/112.00 (![Xx,Xy,Xz]: 111.16/112.00 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 111.16/112.00 tff('164', plain, 111.16/112.00 upairsetE = 111.16/112.00 (![X2,X3,X4]: 111.16/112.00 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 111.16/112.00 ((X4 = X3) | (X4 = X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(singletonsswitch, axiom, singletonsswitch <=> 111.16/112.00 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 111.16/112.00 tff('165', plain, 111.16/112.00 singletonsswitch = 111.16/112.00 (![X2,X3]: 111.16/112.00 (in(X2,setadjoin(X3,emptyset)) => in(X3,setadjoin(X2,emptyset)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(eqinunit, axiom, eqinunit <=> 111.16/112.00 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 111.16/112.00 tff('166', plain, 111.16/112.00 eqinunit = (![X2,X3]: ((X2 = X3) => in(X2,setadjoin(X3,emptyset)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(notinsingleton, axiom, notinsingleton <=> 111.16/112.00 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 111.16/112.00 tff('167', plain, 111.16/112.00 notinsingleton = 111.16/112.00 (![X2,X3]: ((X2 != X3) => (~in(X3,setadjoin(X2,emptyset))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(uniqinunit, axiom, uniqinunit <=> 111.16/112.00 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 111.16/112.00 tff('168', plain, 111.16/112.00 uniqinunit = (![X2,X3]: (in(X2,setadjoin(X3,emptyset)) => (X2 = X3))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 111.16/112.00 (![A]: (nonempty(A) => (?[Xx]: (in(Xx,A)))))). 111.16/112.00 tff('169', plain, 111.16/112.00 nonemptyImpWitness = (![X2]: (nonempty(X2) => (?[X3]: (in(X3,X2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(exuE2, axiom, exuE2 <=> 111.16/112.00 (![Xphi:($i > $o)]: 111.16/112.00 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 111.16/112.00 tff('170', plain, 111.16/112.00 exuE2 = 111.16/112.00 (![X2:($i > $o)]: 111.16/112.00 (exu(^[V_1]: X2(V_1)) => (?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(subPowSU, axiom, subPowSU <=> 111.16/112.00 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 111.16/112.00 tff('171', plain, 111.16/112.00 subPowSU = (![X2,X3]: (in(X3,X2) => in(X3,powerset(setunion(X2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setunionE, axiom, setunionE <=> 111.16/112.00 (![A,Xx]: 111.16/112.00 (in(Xx,setunion(A)) => 111.16/112.00 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 111.16/112.00 tff('172', plain, 111.16/112.00 setunionE = 111.16/112.00 (![X2,X3]: 111.16/112.00 (in(X3,setunion(X2)) => 111.16/112.00 (![X4:$o]: ((![X5]: (in(X3,X5) => (in(X5,X2) => X4))) => X4)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setunionI, axiom, setunionI <=> 111.16/112.00 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 111.16/112.00 tff('173', plain, 111.16/112.00 setunionI = 111.16/112.00 (![X2,X3,X4]: (in(X3,X4) => (in(X4,X2) => in(X3,setunion(X2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(powersetE, axiom, powersetE <=> 111.16/112.00 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 111.16/112.00 tff('174', plain, 111.16/112.00 powersetE = 111.16/112.00 (![X2,X3,X4]: (in(X3,powerset(X2)) => (in(X4,X3) => in(X4,X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptyInPowerset, axiom, emptyInPowerset <=> 111.16/112.00 (![A]: in(emptyset,powerset(A)))). 111.16/112.00 tff('175', plain, emptyInPowerset = (![X2]: in(emptyset,powerset(X2))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptyinPowerset, axiom, emptyinPowerset <=> 111.16/112.00 (![A]: in(emptyset,powerset(A)))). 111.16/112.00 tff('176', plain, emptyinPowerset = (![X2]: in(emptyset,powerset(X2))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(powersetI, axiom, powersetI <=> 111.16/112.00 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 111.16/112.00 tff('177', plain, 111.16/112.00 powersetI = 111.16/112.00 (![X2,X3]: ((![X4]: (in(X4,X3) => in(X4,X2))) => in(X3,powerset(X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setoftrueEq, axiom, setoftrueEq <=> 111.16/112.00 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 111.16/112.00 tff('178', plain, setoftrueEq = (![X2]: (dsetconstr(X2,^[V_1]: $true) = X2)), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setadjoinOr, axiom, setadjoinOr <=> 111.16/112.00 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => (in(Xy,A) | (Xy = Xx))))). 111.16/112.00 tff('179', plain, 111.16/112.00 setadjoinOr = 111.16/112.00 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) => (in(X4,X3) | (X4 = X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setadjoinE, axiom, setadjoinE <=> 111.16/112.00 (![Xx,A,Xy]: 111.16/112.00 (in(Xy,setadjoin(Xx,A)) => 111.16/112.00 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 111.16/112.00 tff('180', plain, 111.16/112.00 setadjoinE = 111.16/112.00 (![X2,X3,X4]: 111.16/112.00 (in(X4,setadjoin(X2,X3)) => 111.16/112.00 (![X5:$o]: (((X4 = X2) => X5) => ((in(X4,X3) => X5) => X5))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setadjoinIR, axiom, setadjoinIR <=> 111.16/112.00 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 111.16/112.00 tff('181', plain, 111.16/112.00 setadjoinIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,setadjoin(X2,X3)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptyinunitempty, axiom, emptyinunitempty() = 111.16/112.00 in(emptyset,setadjoin(emptyset,emptyset))). 111.16/112.00 tff('182', plain, 111.16/112.00 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 111.16/112.00 tff('183', plain, setadjoinIL = (![X2,X3]: in(X2,setadjoin(X2,X3))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(nonemptyI1, axiom, nonemptyI1 <=> 111.16/112.00 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 111.16/112.00 tff('184', plain, nonemptyI1 = (![X2]: ((?[X3]: in(X3,X2)) => nonempty(X2))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(nonemptyI, axiom, nonemptyI <=> 111.16/112.00 (![A,Xphi:($i > $o),Xx]: 111.16/112.00 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 111.16/112.00 tff('185', plain, 111.16/112.00 nonemptyI = 111.16/112.00 (![X2,X3:($i > $o),X4]: 111.16/112.00 (in(X4,X2) => (X3(X4) => nonempty(dsetconstr(X2,^[V_1]: X3(V_1)))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(nonemptyE1, axiom, nonemptyE1 <=> 111.16/112.00 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 111.16/112.00 tff('186', plain, nonemptyE1 = (![X2]: (nonempty(X2) => (?[X3]: in(X3,X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 111.16/112.00 tff('187', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setbeta, axiom, setbeta <=> 111.16/112.00 (![A,Xphi:($i > $o),Xx]: 111.16/112.00 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 111.16/112.00 tff('188', plain, 111.16/112.00 setbeta = 111.16/112.00 (![X2,X3:($i > $o),X4]: 111.16/112.00 (in(X4,X2) => (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) <=> X3(X4)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(noeltsimpempty, axiom, noeltsimpempty <=> 111.16/112.00 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 111.16/112.00 tff('189', plain, 111.16/112.00 noeltsimpempty = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptyI, axiom, emptyI <=> 111.16/112.00 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 111.16/112.00 tff('190', plain, 111.16/112.00 emptyI = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setext, axiom, setext <=> 111.16/112.00 (![A,B]: 111.16/112.00 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 111.16/112.00 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 111.16/112.00 tff('191', plain, 111.16/112.00 setext = 111.16/112.00 (![X2,X3]: 111.16/112.00 ((![X4]: (in(X4,X2) => in(X4,X3))) => 111.16/112.00 ((![X5]: (in(X5,X3) => in(X5,X2))) => (X2 = X3)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(exuE3e, axiom, exuE3e <=> 111.16/112.00 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 111.16/112.00 tff('192', plain, 111.16/112.00 exuE3e = (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => (?[X3]: X2(X3)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 111.16/112.00 tff('193', plain, notinemptyset = (![X2]: (~in(X2,emptyset))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 111.16/112.00 (![Xx]: (in(Xx,emptyset) => $false))). 111.16/112.00 tff('194', plain, emptysetimpfalse = (![X2]: (in(X2,emptyset) => $false)), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptysetE, axiom, emptysetE <=> 111.16/112.00 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 111.16/112.00 tff('195', plain, emptysetE = (![X2]: (in(X2,emptyset) => (![X3:$o]: X3))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(prop2setE, axiom, prop2setE <=> 111.16/112.00 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 111.16/112.00 tff('196', plain, prop2setE = (![X2:$o,X3]: (in(X3,prop2set(X2)) => X2)), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(exuE1, axiom, exuE1 <=> 111.16/112.00 (![Xphi:($i > $o)]: 111.16/112.00 (exu(^[Xx]: Xphi(Xx)) => 111.16/112.00 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 111.16/112.00 tff('197', plain, 111.16/112.00 exuE1 = 111.16/112.00 (![X2:($i > $o)]: 111.16/112.00 (exu(^[V_1]: X2(V_1)) => 111.16/112.00 (?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(dsetconstrER, axiom, dsetconstrER <=> 111.16/112.00 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 111.16/112.00 tff('198', plain, 111.16/112.00 dsetconstrER = 111.16/112.00 (![X2,X3:($i > $o),X4]: (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => X3(X4))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(dsetconstrEL, axiom, dsetconstrEL <=> 111.16/112.00 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 111.16/112.00 tff('199', plain, 111.16/112.00 dsetconstrEL = 111.16/112.00 (![X2,X3:($i > $o),X4]: 111.16/112.00 (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => in(X4,X2))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(dsetconstrI, axiom, dsetconstrI <=> 111.16/112.00 (![A,Xphi:($i > $o),Xx]: 111.16/112.00 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 111.16/112.00 tff('200', plain, 111.16/112.00 dsetconstrI = 111.16/112.00 (![X2,X3:($i > $o),X4]: 111.16/112.00 (in(X4,X2) => (X3(X4) => in(X4,dsetconstr(X2,^[V_1]: X3(V_1)))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(descrp, axiom, descrp <=> 111.16/112.00 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 111.16/112.00 tff('201', plain, 111.16/112.00 descrp = 111.16/112.00 (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => X2(descr(^[V_2]: X2(V_2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(wellorderingAx, axiom, wellorderingAx <=> 111.16/112.00 (![A]: 111.16/112.00 (?[B]: 111.16/112.00 ((![C]: 111.16/112.00 (((?[Xx]: in(Xx,C)) & (![Xx]: (in(Xx,C) => in(Xx,A)))) => 111.16/112.00 (?[D,Xx]: 111.16/112.00 ((![E]: 111.16/112.00 (in(E,B) => (in(Xx,E) | (![Xy]: (in(Xy,E) => in(Xy,D)))))) & 111.16/112.00 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 111.16/112.00 (![C,D]: 111.16/112.00 ((in(D,B) & in(C,B)) => 111.16/112.00 ((![Xx]: (in(Xx,D) => in(Xx,C))) | 111.16/112.00 (![Xx]: (in(Xx,C) => in(Xx,D)))))) & 111.16/112.00 (![Xx,Xy]: 111.16/112.00 ((in(Xy,A) & in(Xx,A)) => 111.16/112.00 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 111.16/112.00 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 111.16/112.00 tff('202', plain, 111.16/112.00 wellorderingAx = 111.16/112.00 (![X2]: 111.16/112.00 (?[X3]: 111.16/112.00 ((![X4]: 111.16/112.00 (((?[X5]: in(X5,X4)) & (![X6]: (in(X6,X4) => in(X6,X2)))) => 111.16/112.00 (?[X7,X8]: 111.16/112.00 ((![X9]: 111.16/112.00 (in(X9,X3) => 111.16/112.00 (in(X8,X9) | (![X10]: (in(X10,X9) => in(X10,X7)))))) & 111.16/112.00 (~(?[X11]: (in(X11,X4) & in(X11,X7)))) & in(X8,X4) & 111.16/112.00 in(X7,X3))))) & 111.16/112.00 (![X12,X13]: 111.16/112.00 ((in(X13,X3) & in(X12,X3)) => 111.16/112.00 ((![X14]: (in(X14,X13) => in(X14,X12))) | 111.16/112.00 (![X15]: (in(X15,X12) => in(X15,X13)))))) & 111.16/112.00 (![X16,X17]: 111.16/112.00 ((in(X17,X2) & in(X16,X2)) => 111.16/112.00 ((![X18]: (in(X18,X3) => (in(X16,X18) <=> in(X17,X18)))) => 111.16/112.00 (X16 = X17)))) & 111.16/112.00 (![X19]: (in(X19,X3) => (![X20]: (in(X20,X19) => in(X20,X2)))))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(foundationAx, axiom, foundationAx <=> 111.16/112.00 (![A]: 111.16/112.00 ((?[Xx]: in(Xx,A)) => 111.16/112.00 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 111.16/112.00 tff('203', plain, 111.16/112.00 foundationAx = 111.16/112.00 (![X2]: 111.16/112.00 ((?[X3]: in(X3,X2)) => 111.16/112.00 (?[X4]: ((~(?[X5]: (in(X5,X2) & in(X5,X4)))) & in(X4,X2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(replAx, axiom, replAx <=> 111.16/112.00 (![Xphi:(($i * $i) > $o),A]: 111.16/112.00 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 111.16/112.00 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 111.16/112.00 tff('204', plain, 111.16/112.00 replAx = 111.16/112.00 (![X2:(($i * $i) > $o),X3]: 111.16/112.00 ((![X4]: (in(X4,X3) => exu(^[V_1]: X2(X4,V_1)))) => 111.16/112.00 (?[X5]: (![X6]: (in(X6,X5) <=> (?[X7]: (X2(X7,X6) & in(X7,X3)))))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(omegaIndAx, axiom, omegaIndAx <=> 111.16/112.00 (![A]: 111.16/112.00 (((![Xx]: ((in(Xx,A) & in(Xx,omega)) => in(setadjoin(Xx,Xx),A))) & 111.16/112.00 in(emptyset,A)) => 111.16/112.00 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 111.16/112.00 tff('205', plain, 111.16/112.00 omegaIndAx = 111.16/112.00 (![X2]: 111.16/112.00 (((![X3]: ((in(X3,X2) & in(X3,omega)) => in(setadjoin(X3,X3),X2))) & 111.16/112.00 in(emptyset,X2)) => 111.16/112.00 (![X4]: (in(X4,omega) => in(X4,X2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(omegaSAx, axiom, omegaSAx <=> 111.16/112.00 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 111.16/112.00 tff('206', plain, 111.16/112.00 omegaSAx = (![X2]: (in(X2,omega) => in(setadjoin(X2,X2),omega))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 111.16/112.00 tff('207', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 111.16/112.00 tff(setunionAx, axiom, setunionAx <=> 111.16/112.00 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 111.16/112.00 tff('208', plain, 111.16/112.00 setunionAx = 111.16/112.00 (![X2,X3]: (in(X3,setunion(X2)) <=> (?[X4]: (in(X4,X2) & in(X3,X4))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(powersetAx, axiom, powersetAx <=> 111.16/112.00 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 111.16/112.00 tff('209', plain, 111.16/112.00 powersetAx = 111.16/112.00 (![X2,X3]: (in(X3,powerset(X2)) <=> (![X4]: (in(X4,X3) => in(X4,X2))))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setadjoinAx, axiom, setadjoinAx <=> 111.16/112.00 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> (in(Xy,A) | (Xy = Xx))))). 111.16/112.00 tff('210', plain, 111.16/112.00 setadjoinAx = 111.16/112.00 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) <=> (in(X4,X3) | (X4 = X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 111.16/112.00 tff('211', plain, emptysetAx = (![X2]: (~in(X2,emptyset))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(setextAx, axiom, setextAx <=> 111.16/112.00 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 111.16/112.00 tff('212', plain, 111.16/112.00 setextAx = (![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(exu, axiom, exu() = 111.16/112.00 ^[Xphi:($i > $o)]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 111.16/112.00 tff('213', plain, 111.16/112.00 exu = 111.16/112.00 (^[V_1:($i > $o)]: (?[X2]: ((![X3]: (V_1(X3) => (X2 = X3))) & V_1(X2)))), 111.16/112.00 define([status(thm)])). 111.16/112.00 tff(funcext2, conjecture, 111.16/112.00 (setextAx => 111.16/112.00 (emptysetAx => 111.16/112.00 (setadjoinAx => 111.16/112.00 (powersetAx => 111.16/112.00 (setunionAx => 111.16/112.00 (omega0Ax => 111.16/112.00 (omegaSAx => 111.16/112.00 (omegaIndAx => 111.16/112.00 (replAx => 111.16/112.00 (foundationAx => 111.16/112.00 (wellorderingAx => 111.16/112.00 (descrp => 111.16/112.00 (dsetconstrI => 111.16/112.00 (dsetconstrEL => 111.16/112.00 (dsetconstrER => 111.16/112.00 (exuE1 => 111.16/112.00 (prop2setE => 111.16/112.00 (emptysetE => 111.16/112.00 (emptysetimpfalse => 111.16/112.00 (notinemptyset => 111.16/112.00 (exuE3e => 111.16/112.00 (setext => 111.16/112.00 (emptyI => 111.16/112.00 (noeltsimpempty => 111.16/112.00 (setbeta => 111.16/112.00 (nonemptyE1 => 111.16/112.00 (nonemptyI => 111.16/112.00 (nonemptyI1 => 111.16/112.00 (setadjoinIL => 111.16/112.00 (emptyinunitempty => 111.16/112.00 (setadjoinIR => 111.16/112.00 (setadjoinE => 111.16/112.00 (setadjoinOr => 111.16/112.00 (setoftrueEq => 111.16/112.00 (powersetI => 111.16/112.00 (emptyinPowerset => 111.16/112.00 (emptyInPowerset => 111.16/112.00 (powersetE => 111.16/112.00 (setunionI => 111.16/112.00 (setunionE => 111.16/112.00 (subPowSU => 111.16/112.00 (exuE2 => 111.16/112.00 (nonemptyImpWitness => 111.16/112.00 (uniqinunit => 111.16/112.00 (notinsingleton => 111.16/112.00 (eqinunit => 111.16/112.00 (singletonsswitch => 111.16/112.00 (upairsetE => 111.16/112.00 (upairsetIL => 111.16/112.00 (upairsetIR => 111.16/112.00 (emptyE1 => 111.16/112.00 (vacuousDall => 111.16/112.00 (quantDeMorgan1 => 111.16/112.00 (quantDeMorgan2 => 111.16/112.00 (quantDeMorgan3 => 111.16/112.00 (quantDeMorgan4 => 111.16/112.00 (prop2setI => 111.16/112.00 (prop2set2propI => 111.16/112.00 (notdexE => 111.16/112.00 (notdallE => 111.16/112.00 (exuI1 => 111.16/112.00 (exuI3 => 111.16/112.00 (exuI2 => 111.16/112.00 (inCongP => 111.16/112.00 (in__Cong => 111.16/112.00 (exuE3u => 111.16/112.00 ( 111.16/112.00 exu__Cong => 111.16/112.00 ( 111.16/112.00 emptyset__Cong => 111.16/112.00 ( 111.16/112.00 setadjoin__Cong => 111.16/112.00 ( 111.16/112.00 powerset__Cong => 111.16/112.00 ( 111.16/112.00 setunion__Cong => 111.16/112.00 ( 111.16/112.00 omega__Cong => 111.16/112.00 ( 111.16/112.00 exuEu => 111.16/112.00 ( 111.16/112.00 descr__Cong => 111.16/112.00 ( 111.16/112.00 dsetconstr__Cong => 111.16/112.00 ( 111.16/112.00 subsetI1 => 111.16/112.00 ( 111.16/112.00 eqimpsubset2 => 111.16/112.00 ( 111.16/112.00 eqimpsubset1 => 111.16/112.00 ( 111.16/112.00 subsetI2 => 111.16/112.00 ( 111.16/112.00 emptysetsubset => 111.16/112.00 ( 111.16/112.00 subsetE => 111.16/112.00 ( 111.16/112.00 subsetE2 => 111.16/112.00 ( 111.16/112.00 notsubsetI => 111.16/112.00 ( 111.16/112.00 notequalI1 => 111.16/112.00 ( 111.16/112.00 notequalI2 => 111.16/112.00 ( 111.16/112.00 subsetRefl => 111.16/112.00 ( 111.16/112.00 subsetTrans => 111.16/112.00 ( 111.16/112.00 setadjoinSub => 111.16/112.00 ( 111.16/112.00 setadjoinSub2 => 111.16/112.00 ( 111.16/112.00 subset2powerset => 111.16/112.00 ( 111.16/112.00 setextsub => 111.16/112.00 ( 111.16/112.00 subsetemptysetimpeq => 111.16/112.00 ( 111.16/112.00 powersetI1 => 111.16/112.00 ( 111.16/112.00 powersetE1 => 111.16/112.00 ( 111.16/112.00 inPowerset => 111.16/112.00 ( 111.16/112.00 powersetsubset => 111.16/112.00 ( 111.16/112.00 sepInPowerset => 111.16/112.00 ( 111.16/112.00 sepSubset => 111.16/112.00 ( 111.16/112.00 binunionIL => 111.16/112.00 ( 111.16/112.00 upairset2IR => 111.16/112.00 ( 111.16/112.00 binunionIR => 111.16/112.00 ( 111.16/112.00 binunionEcases => 111.16/112.00 ( 111.16/112.00 binunionE => 111.16/112.00 ( 111.16/112.00 binunionLsub => 111.16/112.00 ( 111.16/112.00 binunionRsub => 111.16/112.00 ( 111.16/112.00 binintersectI => 111.16/112.00 ( 111.16/112.00 binintersectSubset5 => 111.16/112.00 ( 111.16/112.00 binintersectEL => 111.16/112.00 ( 111.16/112.00 binintersectLsub => 111.16/112.00 ( 111.16/112.00 binintersectSubset2 => 111.16/112.00 ( 111.16/112.00 binintersectSubset3 => 111.16/112.00 ( 111.16/112.00 binintersectER => 111.16/112.00 ( 111.16/112.00 disjointsetsI1 => 111.16/112.00 ( 111.16/112.00 binintersectRsub => 111.16/112.00 ( 111.16/112.00 binintersectSubset4 => 111.16/112.00 ( 111.16/112.00 binintersectSubset1 => 111.16/112.00 ( 111.16/112.00 bs114d => 111.16/112.00 ( 111.16/112.00 setminusI => 111.16/112.00 ( 111.16/112.00 setminusEL => 111.16/112.00 ( 111.16/112.00 setminusER => 111.16/112.00 ( 111.16/112.00 setminusSubset2 => 111.16/112.00 ( 111.16/112.00 setminusERneg => 111.16/112.00 ( 111.16/112.00 setminusELneg => 111.16/112.00 ( 111.16/112.00 setminusILneg => 111.16/112.00 ( 111.16/112.00 setminusIRneg => 111.16/112.00 ( 111.16/112.00 setminusLsub => 111.16/112.00 ( 111.16/112.00 setminusSubset1 => 111.16/112.00 ( 111.16/112.00 symdiffE => 111.16/112.00 ( 111.16/112.00 symdiffI1 => 111.16/112.00 ( 111.16/112.00 symdiffI2 => 111.16/112.00 ( 111.16/112.00 symdiffIneg1 => 111.16/112.00 ( 111.16/112.00 symdiffIneg2 => 111.16/112.00 ( 111.16/112.00 secondinupair => 111.16/112.00 ( 111.16/112.00 setukpairIL => 111.16/112.00 ( 111.16/112.00 setukpairIR => 111.16/112.00 ( 111.16/112.00 kpairiskpair => 111.16/112.00 ( 111.16/112.00 kpairp => 111.16/112.00 ( 111.16/112.00 singletonsubset => 111.16/112.00 ( 111.16/112.00 singletoninpowerset => 111.16/112.00 ( 111.16/112.00 singletoninpowunion => 111.16/112.00 ( 111.16/112.00 upairset2E => 111.16/112.00 ( 111.16/112.00 upairsubunion => 111.16/112.00 ( 111.16/112.00 upairinpowunion => 111.16/112.00 ( 111.16/112.00 ubforcartprodlem1 => 111.16/112.00 ( 111.16/112.00 ubforcartprodlem2 => 111.16/112.00 ( 111.16/112.00 ubforcartprodlem3 => 111.16/112.00 ( 111.16/112.00 cartprodpairin => 111.16/112.00 ( 111.16/112.00 cartprodmempair1 => 111.16/112.00 ( 111.16/112.00 cartprodmempair => 111.16/112.00 ( 111.16/112.00 setunionE2 => 111.16/112.00 ( 111.16/112.00 setunionsingleton1 => 111.16/112.00 ( 111.16/112.00 setunionsingleton2 => 111.16/112.00 ( 111.16/112.00 setunionsingleton => 111.16/112.00 ( 111.16/112.00 singletonprop => 111.16/112.00 ( 111.16/112.00 ex1E1 => 111.16/112.00 ( 111.16/112.00 ex1I => 111.16/112.00 ( 111.16/112.00 ex1I2 => 111.16/112.00 ( 111.16/112.00 singletonsuniq => 111.16/112.00 ( 111.16/112.00 setukpairinjL1 => 111.16/112.00 ( 111.16/112.00 kfstsingleton => 111.16/112.00 ( 111.16/112.00 theprop => 111.16/112.00 ( 111.16/112.00 kfstpairEq => 111.16/112.00 ( 111.16/112.00 cartprodfstin => 111.16/112.00 ( 111.16/112.00 setukpairinjL2 => 111.16/112.00 ( 111.16/112.00 setukpairinjL => 111.16/112.00 ( 111.16/112.00 setukpairinjR11 => 111.16/112.00 ( 111.16/112.00 setukpairinjR12 => 111.16/112.00 ( 111.16/112.00 setukpairinjR1 => 111.16/112.00 ( 111.16/112.00 upairequniteq => 111.16/112.00 ( 111.16/112.00 setukpairinjR2 => 111.16/112.00 ( 111.16/112.00 setukpairinjR => 111.16/112.00 ( 111.16/112.00 ksndsingleton => 111.16/112.00 ( 111.16/112.00 ksndpairEq => 111.16/112.00 ( 111.16/112.00 kpairsurjEq => 111.16/112.00 ( 111.16/112.00 cartprodsndin => 111.16/112.00 ( 111.16/112.00 cartprodpairmemEL => 111.16/112.00 ( 111.16/112.00 cartprodpairmemER => 111.16/112.00 ( 111.16/112.00 cartprodmempaircEq => 111.16/112.00 ( 111.16/112.00 cartprodfstpairEq => 111.16/112.00 ( 111.16/112.00 cartprodsndpairEq => 111.16/112.00 ( 111.16/112.00 cartprodpairsurjEq => 111.16/112.00 ( 111.16/112.00 dpsetconstrI => 111.16/112.00 ( 111.16/112.00 dpsetconstrSub => 111.16/112.00 ( 111.16/112.00 setOfPairsIsBReln => 111.16/112.00 ( 111.16/112.00 dpsetconstrERa => 111.16/112.00 ( 111.16/112.00 dpsetconstrEL1 => 111.16/112.00 ( 111.16/112.00 dpsetconstrEL2 => 111.16/112.00 ( 111.16/112.00 dpsetconstrER => 111.16/112.00 ( 111.16/112.00 funcImageSingleton => 111.16/112.00 ( 111.16/112.00 apProp => 111.16/112.00 ( 111.16/112.00 app => 111.16/112.00 ( 111.16/112.00 infuncsetfunc => 111.16/112.00 ( 111.16/112.00 ap2p => 111.16/112.00 ( 111.16/112.00 funcinfuncset => 111.16/112.00 ( 111.16/112.00 lamProp => 111.16/112.00 ( 111.16/112.00 lamp => 111.16/112.00 ( 111.16/112.00 lam2p => 111.16/112.00 ( 111.16/112.00 brelnall1 => 111.16/112.00 ( 111.16/112.00 brelnall2 => 111.16/112.00 ( 111.16/112.00 ex1E2 => 111.16/112.00 ( 111.16/112.00 funcGraphProp1 => 111.16/112.00 ( 111.16/112.00 funcGraphProp3 => 111.16/112.00 ( 111.16/112.00 funcGraphProp2 => 111.16/112.00 ( 111.16/112.00 funcextLem => 111.16/112.00 ( 111.16/112.00 funcGraphProp4 => 111.16/112.00 ( 111.16/112.00 subbreln => 111.16/112.00 ( 111.16/112.00 eqbreln => 111.16/112.00 ( 111.16/112.00 funcext => 111.16/112.00 ( 111.16/112.00 ![A,B,Xf]: 111.16/112.00 (in( 111.16/112.00 Xf, 111.16/112.00 funcSet( 111.16/112.00 A,B)) => 111.16/112.00 (![Xg]: 111.16/112.00 (in( 111.16/112.00 Xg, 111.16/112.00 funcSet( 111.16/112.00 A,B)) => 111.16/112.00 (( 111.16/112.00 ![Xx]: 111.16/112.00 (in(Xx,A) => 111.16/112.00 (ap( 111.16/112.00 A,B,Xf,Xx) = 111.16/112.00 ap( 111.16/112.00 A,B,Xg,Xx)))) => 111.16/112.00 (Xf = Xg))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 111.16/112.00 tff(zf_stmt_0, conjecture, 111.16/112.00 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 111.16/112.00 ((![X5]: (~in(X5,emptyset))) => 111.16/112.00 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> ((X8 = X6) | in(X8,X7)))) => 111.16/112.00 ((![X9,X10]: 111.16/112.00 (in(X10,powerset(X9)) <=> (![X11]: (in(X11,X10) => in(X11,X9))))) => 111.16/112.00 ((![X12,X13]: 111.16/112.00 (in(X13,setunion(X12)) <=> (?[X14]: (in(X13,X14) & in(X14,X12))))) => 111.16/112.00 (in(emptyset,omega) => 111.16/112.00 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 111.16/112.00 ((![X16]: 111.16/112.00 ((in(emptyset,X16) & 111.16/112.00 (![X17]: 111.16/112.00 ((in(X17,omega) & in(X17,X16)) => 111.16/112.00 in(setadjoin(X17,X17),X16)))) => 111.16/112.00 (![X18]: (in(X18,omega) => in(X18,X16))))) => 111.16/112.00 ((![X19:(($i * $i) > $o),X20]: 111.16/112.00 ((![X21]: 111.16/112.00 (in(X21,X20) => 111.16/112.00 (?[X22]: 111.16/112.00 (X19(X21,X22) & (![X23]: (X19(X21,X23) => (X22 = X23))))))) => 111.16/112.00 (?[X24]: 111.16/112.00 (![X25]: 111.16/112.00 (in(X25,X24) <=> (?[X26]: (in(X26,X20) & X19(X26,X25)))))))) => 111.16/112.00 ((![X27]: 111.16/112.00 ((?[X28]: in(X28,X27)) => 111.16/112.00 (?[X29]: 111.16/112.00 (in(X29,X27) & (~(?[X30]: (in(X30,X29) & in(X30,X27)))))))) => 111.16/112.00 ((![X31]: 111.16/112.00 (?[X32]: 111.16/112.00 ((![X48]: 111.16/112.00 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31))))) & 111.16/112.00 (![X45,X46]: 111.16/112.00 ((in(X45,X31) & in(X46,X31)) => 111.16/112.00 ((![X47]: 111.16/112.00 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 111.16/112.00 (X45 = X46)))) & 111.16/112.00 (![X41,X42]: 111.16/112.00 ((in(X41,X32) & in(X42,X32)) => 111.16/112.00 ((![X44]: (in(X44,X41) => in(X44,X42))) | 111.16/112.00 (![X43]: (in(X43,X42) => in(X43,X41)))))) & 111.16/112.00 (![X33]: 111.16/112.00 (((![X35]: (in(X35,X33) => in(X35,X31))) & 111.16/112.00 (?[X34]: in(X34,X33))) => 111.16/112.00 (?[X36,X37]: 111.16/112.00 (in(X36,X32) & in(X37,X33) & 111.16/112.00 (~(?[X40]: (in(X40,X36) & in(X40,X33)))) & 111.16/112.00 (![X38]: 111.16/112.00 (in(X38,X32) => 111.16/112.00 ((![X39]: (in(X39,X38) => in(X39,X36))) | 111.16/112.00 in(X37,X38))))))))))) => 111.16/112.00 ((![X50:($i > $o)]: 111.16/112.00 ((?[X51]: (X50(X51) & (![X52]: (X50(X52) => (X51 = X52))))) => 111.16/112.00 X50(descr('#ll_0'(X50))))) => 111.16/112.00 ((![X53,X54:($i > $o),X55]: 111.16/112.00 (in(X55,X53) => 111.16/112.00 (X54(X55) => in(X55,dsetconstr(X53,'#ll_0'(X54)))))) => 111.16/112.00 ((![X56,X57:($i > $o),X58]: 111.16/112.00 (in(X58,dsetconstr(X56,'#ll_0'(X57))) => in(X58,X56))) => 111.16/112.00 ((![X59,X60:($i > $o),X61]: 111.16/112.00 (in(X61,dsetconstr(X59,'#ll_0'(X60))) => X60(X61))) => 111.16/112.00 ((![X62:($i > $o)]: 111.16/112.00 ((?[X63]: 111.16/112.00 (X62(X63) & (![X64]: (X62(X64) => (X63 = X64))))) => 111.16/112.00 (?[X65]: 111.16/112.00 (X62(X65) & (![X66]: (X62(X66) => (X65 = X66))))))) => 111.16/112.00 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 111.16/112.00 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 111.16/112.00 ((![X71]: (in(X71,emptyset) => $false)) => 111.16/112.00 ((![X72]: (~in(X72,emptyset))) => 111.16/112.00 ((![X73:($i > $o)]: 111.16/112.00 ((?[X74]: 111.16/112.00 (X73(X74) & (![X75]: (X73(X75) => (X74 = X75))))) => 111.16/112.00 (?[X76]: X73(X76)))) => 111.16/112.00 ((![X77,X78]: 111.16/112.00 ((![X79]: (in(X79,X77) => in(X79,X78))) => 111.16/112.00 ((![X80]: (in(X80,X78) => in(X80,X77))) => 111.16/112.00 (X77 = X78)))) => 111.16/112.00 ((![X81]: 111.16/112.00 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 111.16/112.00 ((![X83]: 111.16/112.00 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 111.16/112.00 ((![X85,X86:($i > $o),X87]: 111.16/112.00 (in(X87,X85) => 111.16/112.00 (in(X87,dsetconstr(X85,'#ll_0'(X86))) <=> 111.16/112.00 X86(X87)))) => 111.16/112.00 ((![X88]: 111.16/112.00 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 111.16/112.00 ((![X90,X91:($i > $o),X92]: 111.16/112.00 (in(X92,X90) => 111.16/112.00 (X91(X92) => 111.16/112.00 (dsetconstr(X90,'#ll_0'(X91)) != emptyset)))) => 111.16/112.00 ((![X93]: 111.16/112.00 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 111.16/112.00 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 111.16/112.00 (in(emptyset,setadjoin(emptyset,emptyset)) => 111.16/112.00 ((![X97,X98,X99]: 111.16/112.00 (in(X99,X98) => 111.16/112.00 in(X99,setadjoin(X97,X98)))) => 111.16/112.00 ((![X100,X101,X102]: 111.16/112.00 (in(X102,setadjoin(X100,X101)) => 111.16/112.00 (![X103:$o]: 111.16/112.00 (((X102 = X100) => X103) => 111.16/112.00 ((in(X102,X101) => X103) => X103))))) => 111.16/112.00 ((![X104,X105,X106]: 111.16/112.00 (in(X106,setadjoin(X104,X105)) => 111.16/112.00 ((X106 = X104) | in(X106,X105)))) => 111.16/112.00 ((![X107]: 111.16/112.00 (dsetconstr(X107,'#ll_6') = X107)) => 111.16/112.00 ((![X108,X109]: 111.16/112.00 ((![X110]: 111.16/112.00 (in(X110,X109) => in(X110,X108))) => 111.16/112.00 in(X109,powerset(X108)))) => 111.16/112.00 ((![X111]: in(emptyset,powerset(X111))) => 111.16/112.00 ((![X112]: in(emptyset,powerset(X112))) => 111.16/112.00 ((![X113,X114,X115]: 111.16/112.00 (in(X114,powerset(X113)) => 111.16/112.00 (in(X115,X114) => in(X115,X113)))) => 111.16/112.00 ((![X116,X117,X118]: 111.16/112.00 (in(X117,X118) => 111.16/112.00 (in(X118,X116) => 111.16/112.00 in(X117,setunion(X116))))) => 111.16/112.00 ((![X119,X120]: 111.16/112.00 (in(X120,setunion(X119)) => 111.16/112.00 (![X121:$o]: 111.16/112.00 ((![X122]: 111.16/112.00 (in(X120,X122) => 111.16/112.00 (in(X122,X119) => X121))) => 111.16/112.00 X121)))) => 111.16/112.00 ((![X123,X124]: 111.16/112.00 (in(X124,X123) => 111.16/112.00 in(X124, 111.16/112.00 powerset(setunion(X123))))) => 111.16/112.00 ((![X125:($i > $o)]: 111.16/112.00 ((?[X126]: 111.16/112.00 (X125(X126) & 111.16/112.00 (![X127]: 111.16/112.00 (X125(X127) => 111.16/112.00 (X126 = X127))))) => 111.16/112.00 (?[X128]: 111.16/112.00 (![X129]: 111.16/112.00 (X125(X129) <=> 111.16/112.00 (X129 = X128)))))) => 111.16/112.00 ((![X130]: 111.16/112.00 ((X130 != emptyset) => 111.16/112.00 (?[X131]: in(X131,X130)))) => 111.16/112.00 ((![X132,X133]: 111.16/112.00 (in(X132, 111.16/112.00 setadjoin(X133,emptyset)) => 111.16/112.00 (X132 = X133))) => 111.16/112.00 ((![X134,X135]: 111.16/112.00 ((X134 != X135) => 111.16/112.00 (~ 111.16/112.00 in(X135, 111.16/112.00 setadjoin(X134, 111.16/112.00 emptyset))))) => 111.16/112.00 ((![X136,X137]: 111.16/112.00 ((X136 = X137) => 111.16/112.00 in(X136, 111.16/112.00 setadjoin(X137, 111.16/112.00 emptyset)))) => 111.16/112.00 ((![X138,X139]: 111.16/112.00 (in(X138, 111.16/112.00 setadjoin(X139, 111.16/112.00 emptyset)) => 111.16/112.00 in(X139, 111.16/112.00 setadjoin(X138, 111.16/112.00 emptyset)))) => 111.16/112.00 ((![X140,X141,X142]: 111.16/112.00 (in(X142, 111.16/112.00 setadjoin(X140, 111.16/112.00 setadjoin( 111.16/112.00 X141, 111.16/112.00 emptyset))) => 111.16/112.00 ((X142 = X140) | 111.16/112.00 (X142 = X141)))) => 111.16/112.00 ((![X143,X144]: 111.16/112.00 in(X143, 111.16/112.00 setadjoin(X143, 111.16/112.00 setadjoin( 111.16/112.00 X144, 111.16/112.00 emptyset)))) => 111.16/112.00 ((![X145,X146]: 111.16/112.00 in(X146, 111.16/112.00 setadjoin(X145, 111.16/112.00 setadjoin( 111.16/112.00 X146, 111.16/112.00 emptyset)))) => 111.16/112.00 ((![X147,X148:($i > $o)]: 111.16/112.00 ((?[X149]: 111.16/112.00 (in(X149,X147) & 111.16/112.00 X148(X149))) => 111.16/112.00 ((dsetconstr( 111.16/112.00 X147,'#ll_0'(X148)) = 111.16/112.00 emptyset) => 111.16/112.00 $false))) => 111.16/112.00 ((![X150:($i > $o),X151]: 111.16/112.00 (in(X151,emptyset) => 111.16/112.00 X150(X151))) => 111.16/112.00 ((![X152,X153:($i > $o)]: 111.16/112.00 ((~ 111.16/112.00 (![X154]: 111.16/112.00 (in(X154,X152) => 111.16/112.00 X153(X154)))) => 111.16/112.00 (?[X155]: 111.16/112.00 (in(X155,X152) & 111.16/112.00 (~X153(X155)))))) => 111.16/112.00 ((![X156, 111.16/112.00 X157:($i > $o)]: 111.16/112.00 ((![X158]: 111.16/112.00 (in(X158,X156) => 111.16/112.00 (~X157(X158)))) => 111.16/112.00 (~ 111.16/112.00 (?[X159]: 111.16/112.00 (in( 111.16/112.00 X159,X156) & 111.16/112.00 X157(X159)))))) => 111.16/112.00 ((![X160, 111.16/112.00 X161:($i > $o)]: 111.16/112.00 ((~ 111.16/112.00 (?[X162]: 111.16/112.00 (in( 111.16/112.00 X162,X160) & 111.16/112.00 X161(X162)))) => 111.16/112.00 (![X163]: 111.16/112.00 (in(X163,X160) => 111.16/112.00 (~X161(X163)))))) => 111.16/112.00 ((![X164, 111.16/112.00 X165:($i > $o)]: 111.16/112.00 ((?[X166]: 111.16/112.00 (in( 111.16/112.00 X166,X164) & 111.16/112.00 (~ 111.16/112.00 X165( 111.16/112.00 X166)))) => 111.16/112.00 (~ 111.16/112.00 (![X167]: 111.16/112.00 (in( 111.16/112.00 X167,X164) => 111.16/112.00 X165( 111.16/112.00 X167)))))) => 111.16/112.00 ((![X168:$o]: 111.16/112.00 (X168 => 111.16/112.00 in(emptyset, 111.16/112.00 prop2set( 111.16/112.00 X168)))) => 111.16/112.00 ((![X169:$o]: 111.16/112.00 (X169 => 111.16/112.00 set2prop( 111.16/112.00 prop2set( 111.16/112.00 X169)))) => 111.16/112.00 ((![X170, 111.16/112.00 X171:( 111.16/112.00 $i > $o)]: 111.16/112.00 ((~ 111.16/112.00 (?[X172]: 111.16/112.00 (in( 111.16/112.00 X172,X170) & 111.16/112.00 X171( 111.16/112.00 X172)))) => 111.16/112.00 (![X173]: 111.16/112.00 ( 111.16/112.00 in( 111.16/112.00 X173,X170) => 111.16/112.00 ( 111.16/112.00 ~ 111.16/112.00 X171( 111.16/112.00 X173)))))) => 111.16/112.00 ((![X174, 111.16/112.00 X175:( 111.16/112.00 $i > $o)]: 111.16/112.00 ((~ 111.16/112.00 ( 111.16/112.00 ![X176]: 111.16/112.00 (in( 111.16/112.00 X176,X174) => 111.16/112.00 X175( 111.16/112.00 X176)))) => 111.16/112.00 (?[X177]: 111.16/112.00 (in( 111.16/112.00 X177,X174) & 111.16/112.00 (~ 111.16/112.00 X175( 111.16/112.00 X177)))))) => 111.16/112.00 ((![X178:( 111.16/112.00 $i > $o)]: 111.16/112.00 ((?[X179]: 111.16/112.00 (X178( 111.16/112.00 X179) & 111.16/112.00 (![X180]: 111.16/112.00 (X178( 111.16/112.00 X180) => 111.16/112.00 (X179 = 111.16/112.00 X180))))) => 111.16/112.00 (?[X181]: 111.16/112.00 (X178( 111.16/112.00 X181) & 111.16/112.00 (![X182]: 111.16/112.00 (X178( 111.16/112.00 X182) => 111.16/112.00 (X181 = 111.16/112.00 X182))))))) => 111.16/112.00 ((![X183:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ?[X184]: 111.16/112.00 X183( 111.16/112.00 X184)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X185, 111.16/112.00 X186]: 111.16/112.00 (X183( 111.16/112.00 X185) => 111.16/112.00 (X183( 111.16/112.00 X186) => 111.16/112.00 (X185 = 111.16/112.00 X186)))) => 111.16/112.00 ( 111.16/112.00 ?[X187]: 111.16/112.00 (X183( 111.16/112.00 X187) & 111.16/112.00 (![X188]: 111.16/112.00 (X183( 111.16/112.00 X188) => 111.16/112.00 (X187 = 111.16/112.00 X188)))))))) => 111.16/112.00 ((![X189:( 111.16/112.00 $i > $o)]: 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ?[X190]: 111.16/112.00 (![X191]: 111.16/112.00 (X189( 111.16/112.00 X191) <=> 111.16/112.00 (X191 = 111.16/112.00 X190)))) => 111.16/112.00 ( 111.16/112.00 ?[X192]: 111.16/112.00 (X189( 111.16/112.00 X192) & 111.16/112.00 (![X193]: 111.16/112.00 (X189( 111.16/112.00 X193) => 111.16/112.00 (X192 = 111.16/112.00 X193))))))) => 111.16/112.00 ((![X194, 111.16/112.00 X195]: 111.16/112.00 (( 111.16/112.00 X194 = 111.16/112.00 X195) => 111.16/112.00 (![X196, 111.16/112.00 X197]: 111.16/112.00 (( 111.16/112.00 X196 = 111.16/112.00 X197) => 111.16/112.00 (in( 111.16/112.00 X196,X194) => 111.16/112.00 in( 111.16/112.00 X197,X195)))))) => 111.16/112.00 ((![X198, 111.16/112.00 X199]: 111.16/112.00 (( 111.16/112.00 X198 = 111.16/112.00 X199) => 111.16/112.00 (![X200, 111.16/112.00 X201]: 111.16/112.00 (( 111.16/112.00 X200 = 111.16/112.00 X201) => 111.16/112.00 (in( 111.16/112.00 X200,X198) <=> 111.16/112.00 in( 111.16/112.00 X201,X199)))))) => 111.16/112.00 (( 111.16/112.00 ![X202:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ?[X203]: 111.16/112.00 (X202( 111.16/112.00 X203) & 111.16/112.00 (![X204]: 111.16/112.00 (X202( 111.16/112.00 X204) => 111.16/112.00 (X203 = 111.16/112.00 X204))))) => 111.16/112.00 (![X205, 111.16/112.00 X206]: 111.16/112.00 (X202( 111.16/112.00 X205) => 111.16/112.00 (X202( 111.16/112.00 X206) => 111.16/112.00 (X205 = 111.16/112.00 X206)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X207:( 111.16/112.00 $i > $o), 111.16/112.00 X208:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ![X209, 111.16/112.00 X210]: 111.16/112.00 (( 111.16/112.00 X209 = 111.16/112.00 X210) => 111.16/112.00 (X207( 111.16/112.00 X209) <=> 111.16/112.00 X208( 111.16/112.00 X210)))) => 111.16/112.00 (( 111.16/112.00 ?[X211]: 111.16/112.00 (X207( 111.16/112.00 X211) & 111.16/112.00 (![X212]: 111.16/112.00 (X207( 111.16/112.00 X212) => 111.16/112.00 (X211 = 111.16/112.00 X212))))) <=> 111.16/112.00 (?[X213]: 111.16/112.00 (X208( 111.16/112.00 X213) & 111.16/112.00 (![X214]: 111.16/112.00 (X208( 111.16/112.00 X214) => 111.16/112.00 (X213 = 111.16/112.00 X214)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 emptyset = 111.16/112.00 emptyset) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X215, 111.16/112.00 X216]: 111.16/112.00 (( 111.16/112.00 X215 = 111.16/112.00 X216) => 111.16/112.00 (![X217, 111.16/112.00 X218]: 111.16/112.00 (( 111.16/112.00 X217 = 111.16/112.00 X218) => 111.16/112.00 (setadjoin( 111.16/112.00 X215,X217) = 111.16/112.00 setadjoin( 111.16/112.00 X216,X218)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X219, 111.16/112.00 X220]: 111.16/112.00 (( 111.16/112.00 X219 = 111.16/112.00 X220) => 111.16/112.00 (powerset( 111.16/112.00 X219) = 111.16/112.00 powerset( 111.16/112.00 X220)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X221, 111.16/112.00 X222]: 111.16/112.00 (( 111.16/112.00 X221 = 111.16/112.00 X222) => 111.16/112.00 (setunion( 111.16/112.00 X221) = 111.16/112.00 setunion( 111.16/112.00 X222)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 omega = 111.16/112.00 omega) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X223:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ?[X224]: 111.16/112.00 (X223( 111.16/112.00 X224) & 111.16/112.00 (![X225]: 111.16/112.00 (X223( 111.16/112.00 X225) => 111.16/112.00 (X224 = 111.16/112.00 X225))))) => 111.16/112.00 (![X226, 111.16/112.00 X227]: 111.16/112.00 (X223( 111.16/112.00 X226) => 111.16/112.00 (X223( 111.16/112.00 X227) => 111.16/112.00 (X226 = 111.16/112.00 X227)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X228:( 111.16/112.00 $i > $o), 111.16/112.00 X229:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ![X230, 111.16/112.00 X231]: 111.16/112.00 (( 111.16/112.00 X230 = 111.16/112.00 X231) => 111.16/112.00 (X228( 111.16/112.00 X230) <=> 111.16/112.00 X229( 111.16/112.00 X231)))) => 111.16/112.00 (( 111.16/112.00 ?[X232]: 111.16/112.00 (X228( 111.16/112.00 X232) & 111.16/112.00 (![X233]: 111.16/112.00 (X228( 111.16/112.00 X233) => 111.16/112.00 (X232 = 111.16/112.00 X233))))) => 111.16/112.00 (( 111.16/112.00 ?[X234]: 111.16/112.00 (X229( 111.16/112.00 X234) & 111.16/112.00 (![X235]: 111.16/112.00 (X229( 111.16/112.00 X235) => 111.16/112.00 (X234 = 111.16/112.00 X235))))) => 111.16/112.00 (descr( 111.16/112.00 '#ll_0'( 111.16/112.00 X228)) = 111.16/112.00 descr( 111.16/112.00 '#ll_0'( 111.16/112.00 X229))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X236, 111.16/112.00 X237]: 111.16/112.00 (( 111.16/112.00 X236 = 111.16/112.00 X237) => 111.16/112.00 (![X238:( 111.16/112.00 $i > $o), 111.16/112.00 X239:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ![X240]: 111.16/112.00 (in( 111.16/112.00 X240,X236) => 111.16/112.00 (![X241]: 111.16/112.00 (in( 111.16/112.00 X241,X237) => 111.16/112.00 (( 111.16/112.00 X240 = 111.16/112.00 X241) => 111.16/112.00 (X238( 111.16/112.00 X240) <=> 111.16/112.00 X239( 111.16/112.00 X241))))))) => 111.16/112.00 (dsetconstr( 111.16/112.00 X236, 111.16/112.00 '#ll_0'( 111.16/112.00 X238)) = 111.16/112.00 dsetconstr( 111.16/112.00 X237, 111.16/112.00 '#ll_0'( 111.16/112.00 X239))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X242, 111.16/112.00 X243]: 111.16/112.00 (( 111.16/112.00 ![X244]: 111.16/112.00 (in( 111.16/112.00 X244,X242) => 111.16/112.00 in( 111.16/112.00 X244,X243))) => 111.16/112.00 subset( 111.16/112.00 X242,X243))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X245, 111.16/112.00 X246]: 111.16/112.00 (( 111.16/112.00 X245 = 111.16/112.00 X246) => 111.16/112.00 subset( 111.16/112.00 X246,X245))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X247, 111.16/112.00 X248]: 111.16/112.00 (( 111.16/112.00 X247 = 111.16/112.00 X248) => 111.16/112.00 subset( 111.16/112.00 X247,X248))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X249, 111.16/112.00 X250]: 111.16/112.00 (( 111.16/112.00 ![X251]: 111.16/112.00 (in( 111.16/112.00 X251,X249) => 111.16/112.00 in( 111.16/112.00 X251,X250))) => 111.16/112.00 subset( 111.16/112.00 X249,X250))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X252]: 111.16/112.00 subset( 111.16/112.00 emptyset, 111.16/112.00 X252)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X253, 111.16/112.00 X254,X255]: 111.16/112.00 (subset( 111.16/112.00 X253,X254) => 111.16/112.00 (in( 111.16/112.00 X255,X253) => 111.16/112.00 in( 111.16/112.00 X255,X254)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X256, 111.16/112.00 X257,X258]: 111.16/112.00 (subset( 111.16/112.00 X256,X257) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X258,X257)) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X258,X256))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X259, 111.16/112.00 X260,X261]: 111.16/112.00 (in( 111.16/112.00 X261,X259) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X261,X260)) => 111.16/112.00 (~ 111.16/112.00 subset( 111.16/112.00 X259,X260))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X262, 111.16/112.00 X263]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 subset( 111.16/112.00 X262,X263)) => 111.16/112.00 (X262 != 111.16/112.00 X263))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X264, 111.16/112.00 X265,X266]: 111.16/112.00 (in( 111.16/112.00 X266,X264) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X266,X265)) => 111.16/112.00 (X264 != 111.16/112.00 X265)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X267]: 111.16/112.00 subset( 111.16/112.00 X267,X267)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X268, 111.16/112.00 X269,X270]: 111.16/112.00 (subset( 111.16/112.00 X268,X269) => 111.16/112.00 (subset( 111.16/112.00 X269,X270) => 111.16/112.00 subset( 111.16/112.00 X268,X270)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X271, 111.16/112.00 X272]: 111.16/112.00 subset( 111.16/112.00 X272, 111.16/112.00 setadjoin( 111.16/112.00 X271,X272))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X273, 111.16/112.00 X274,X275]: 111.16/112.00 (subset( 111.16/112.00 X273,X275) => 111.16/112.00 subset( 111.16/112.00 X273, 111.16/112.00 setadjoin( 111.16/112.00 X274,X275)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X276, 111.16/112.00 X277]: 111.16/112.00 (subset( 111.16/112.00 X276,X277) => 111.16/112.00 in( 111.16/112.00 X276, 111.16/112.00 powerset( 111.16/112.00 X277)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X278, 111.16/112.00 X279]: 111.16/112.00 (subset( 111.16/112.00 X278,X279) => 111.16/112.00 (subset( 111.16/112.00 X279,X278) => 111.16/112.00 (X278 = 111.16/112.00 X279)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X280]: 111.16/112.00 (subset( 111.16/112.00 X280, 111.16/112.00 emptyset) => 111.16/112.00 (X280 = 111.16/112.00 emptyset))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X281, 111.16/112.00 X282]: 111.16/112.00 (subset( 111.16/112.00 X282,X281) => 111.16/112.00 in( 111.16/112.00 X282, 111.16/112.00 powerset( 111.16/112.00 X281)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X283, 111.16/112.00 X284]: 111.16/112.00 (in( 111.16/112.00 X284, 111.16/112.00 powerset( 111.16/112.00 X283)) => 111.16/112.00 subset( 111.16/112.00 X284,X283))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X285]: 111.16/112.00 in( 111.16/112.00 X285, 111.16/112.00 powerset( 111.16/112.00 X285))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X286, 111.16/112.00 X287]: 111.16/112.00 (subset( 111.16/112.00 X286,X287) => 111.16/112.00 subset( 111.16/112.00 powerset( 111.16/112.00 X286), 111.16/112.00 powerset( 111.16/112.00 X287)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X288, 111.16/112.00 X289:( 111.16/112.00 $i > $o)]: 111.16/112.00 in( 111.16/112.00 dsetconstr( 111.16/112.00 X288, 111.16/112.00 '#ll_0'( 111.16/112.00 X289)), 111.16/112.00 powerset( 111.16/112.00 X288))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X290, 111.16/112.00 X291:( 111.16/112.00 $i > $o)]: 111.16/112.00 subset( 111.16/112.00 dsetconstr( 111.16/112.00 X290, 111.16/112.00 '#ll_0'( 111.16/112.00 X291)), 111.16/112.00 X290)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X292, 111.16/112.00 X293,X294]: 111.16/112.00 (in( 111.16/112.00 X294,X292) => 111.16/112.00 in( 111.16/112.00 X294, 111.16/112.00 binunion( 111.16/112.00 X292,X293)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X295, 111.16/112.00 X296]: 111.16/112.00 in( 111.16/112.00 X296, 111.16/112.00 setadjoin( 111.16/112.00 X295, 111.16/112.00 setadjoin( 111.16/112.00 X296, 111.16/112.00 emptyset)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X297, 111.16/112.00 X298,X299]: 111.16/112.00 (in( 111.16/112.00 X299,X298) => 111.16/112.00 in( 111.16/112.00 X299, 111.16/112.00 binunion( 111.16/112.00 X297,X298)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X300, 111.16/112.00 X301, 111.16/112.00 X302, 111.16/112.00 X303:$o]: 111.16/112.00 (in( 111.16/112.00 X302, 111.16/112.00 binunion( 111.16/112.00 X300,X301)) => 111.16/112.00 (( 111.16/112.00 in( 111.16/112.00 X302,X300) => 111.16/112.00 X303) => 111.16/112.00 (( 111.16/112.00 in( 111.16/112.00 X302,X301) => 111.16/112.00 X303) => 111.16/112.00 X303)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X304, 111.16/112.00 X305,X306]: 111.16/112.00 (in( 111.16/112.00 X306, 111.16/112.00 binunion( 111.16/112.00 X304,X305)) => 111.16/112.00 (in( 111.16/112.00 X306,X304) | 111.16/112.00 in( 111.16/112.00 X306,X305)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X307, 111.16/112.00 X308]: 111.16/112.00 subset( 111.16/112.00 X307, 111.16/112.00 binunion( 111.16/112.00 X307,X308))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X309, 111.16/112.00 X310]: 111.16/112.00 subset( 111.16/112.00 X310, 111.16/112.00 binunion( 111.16/112.00 X309,X310))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X311, 111.16/112.00 X312,X313]: 111.16/112.00 (in( 111.16/112.00 X313,X311) => 111.16/112.00 (in( 111.16/112.00 X313,X312) => 111.16/112.00 in( 111.16/112.00 X313, 111.16/112.00 binintersect( 111.16/112.00 X311,X312))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X314, 111.16/112.00 X315,X316]: 111.16/112.00 (subset( 111.16/112.00 X316,X314) => 111.16/112.00 (subset( 111.16/112.00 X316,X315) => 111.16/112.00 subset( 111.16/112.00 X316, 111.16/112.00 binintersect( 111.16/112.00 X314,X315))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X317, 111.16/112.00 X318,X319]: 111.16/112.00 (in( 111.16/112.00 X319, 111.16/112.00 binintersect( 111.16/112.00 X317,X318)) => 111.16/112.00 in( 111.16/112.00 X319,X317))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X320, 111.16/112.00 X321]: 111.16/112.00 subset( 111.16/112.00 binintersect( 111.16/112.00 X320,X321), 111.16/112.00 X320)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X322, 111.16/112.00 X323]: 111.16/112.00 (subset( 111.16/112.00 X322,X323) => 111.16/112.00 (binintersect( 111.16/112.00 X322,X323) = 111.16/112.00 X322))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X324, 111.16/112.00 X325]: 111.16/112.00 (( 111.16/112.00 binintersect( 111.16/112.00 X324,X325) = 111.16/112.00 X325) => 111.16/112.00 subset( 111.16/112.00 X325,X324))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X326, 111.16/112.00 X327,X328]: 111.16/112.00 (in( 111.16/112.00 X328, 111.16/112.00 binintersect( 111.16/112.00 X326,X327)) => 111.16/112.00 in( 111.16/112.00 X328,X327))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X329, 111.16/112.00 X330]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 ( 111.16/112.00 ?[X331]: 111.16/112.00 (in( 111.16/112.00 X331,X329) & 111.16/112.00 in( 111.16/112.00 X331,X330)))) => 111.16/112.00 (binintersect( 111.16/112.00 X329,X330) = 111.16/112.00 emptyset))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X332, 111.16/112.00 X333]: 111.16/112.00 subset( 111.16/112.00 binintersect( 111.16/112.00 X332,X333), 111.16/112.00 X333)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X334, 111.16/112.00 X335]: 111.16/112.00 (subset( 111.16/112.00 X335,X334) => 111.16/112.00 (binintersect( 111.16/112.00 X334,X335) = 111.16/112.00 X335))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X336, 111.16/112.00 X337]: 111.16/112.00 (( 111.16/112.00 binintersect( 111.16/112.00 X336,X337) = 111.16/112.00 X336) => 111.16/112.00 subset( 111.16/112.00 X336,X337))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X338, 111.16/112.00 X339,X340]: 111.16/112.00 (binintersect( 111.16/112.00 X338, 111.16/112.00 binunion( 111.16/112.00 X339,X340)) = 111.16/112.00 binunion( 111.16/112.00 binintersect( 111.16/112.00 X338,X339), 111.16/112.00 binintersect( 111.16/112.00 X338,X340)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X341, 111.16/112.00 X342,X343]: 111.16/112.00 (in( 111.16/112.00 X343,X341) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X343,X342)) => 111.16/112.00 in( 111.16/112.00 X343, 111.16/112.00 setminus( 111.16/112.00 X341,X342))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X344, 111.16/112.00 X345,X346]: 111.16/112.00 (in( 111.16/112.00 X346, 111.16/112.00 setminus( 111.16/112.00 X344,X345)) => 111.16/112.00 in( 111.16/112.00 X346,X344))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X347, 111.16/112.00 X348,X349]: 111.16/112.00 (in( 111.16/112.00 X349, 111.16/112.00 setminus( 111.16/112.00 X347,X348)) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X349,X348)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X350, 111.16/112.00 X351]: 111.16/112.00 (subset( 111.16/112.00 X350,X351) => 111.16/112.00 (setminus( 111.16/112.00 X350,X351) = 111.16/112.00 emptyset))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X352, 111.16/112.00 X353,X354]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X354, 111.16/112.00 setminus( 111.16/112.00 X352,X353))) => 111.16/112.00 (in( 111.16/112.00 X354,X352) => 111.16/112.00 in( 111.16/112.00 X354,X353)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X355, 111.16/112.00 X356,X357]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X357, 111.16/112.00 setminus( 111.16/112.00 X355,X356))) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X357,X356)) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X357,X355))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X358, 111.16/112.00 X359,X360]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X360,X358)) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X360, 111.16/112.00 setminus( 111.16/112.00 X358,X359))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X361, 111.16/112.00 X362,X363]: 111.16/112.00 (in( 111.16/112.00 X363,X362) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X363, 111.16/112.00 setminus( 111.16/112.00 X361,X362))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X364, 111.16/112.00 X365]: 111.16/112.00 subset( 111.16/112.00 setminus( 111.16/112.00 X364,X365), 111.16/112.00 X364)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X366, 111.16/112.00 X367]: 111.16/112.00 (( 111.16/112.00 setminus( 111.16/112.00 X366,X367) = 111.16/112.00 emptyset) => 111.16/112.00 subset( 111.16/112.00 X366,X367))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X368, 111.16/112.00 X369,X370]: 111.16/112.00 (in( 111.16/112.00 X370, 111.16/112.00 symdiff( 111.16/112.00 X368,X369)) => 111.16/112.00 (![X371:$o]: 111.16/112.00 (( 111.16/112.00 in( 111.16/112.00 X370,X368) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X370,X369)) => 111.16/112.00 X371)) => 111.16/112.00 (( 111.16/112.00 ( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X370,X368)) => 111.16/112.00 ( 111.16/112.00 in( 111.16/112.00 X370,X369) => 111.16/112.00 X371)) => 111.16/112.00 X371))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X372, 111.16/112.00 X373,X374]: 111.16/112.00 (in( 111.16/112.00 X374,X372) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X374,X373)) => 111.16/112.00 in( 111.16/112.00 X374, 111.16/112.00 symdiff( 111.16/112.00 X372,X373))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X375, 111.16/112.00 X376,X377]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X377,X375)) => 111.16/112.00 (in( 111.16/112.00 X377,X376) => 111.16/112.00 in( 111.16/112.00 X377, 111.16/112.00 symdiff( 111.16/112.00 X375,X376))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X378, 111.16/112.00 X379,X380]: 111.16/112.00 (in( 111.16/112.00 X380,X378) => 111.16/112.00 (in( 111.16/112.00 X380,X379) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X380, 111.16/112.00 symdiff( 111.16/112.00 X378,X379)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X381, 111.16/112.00 X382,X383]: 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X383,X381)) => 111.16/112.00 (( 111.16/112.00 ~ 111.16/112.00 in( 111.16/112.00 X383,X382)) => 111.16/112.00 (~ 111.16/112.00 in( 111.16/112.00 X383, 111.16/112.00 symdiff( 111.16/112.00 X381,X382)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X384, 111.16/112.00 X385]: 111.16/112.00 in( 111.16/112.00 X385, 111.16/112.00 setadjoin( 111.16/112.00 X384, 111.16/112.00 setadjoin( 111.16/112.00 X385, 111.16/112.00 emptyset)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X386, 111.16/112.00 X387]: 111.16/112.00 in( 111.16/112.00 X386, 111.16/112.00 setunion( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X386, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X386, 111.16/112.00 setadjoin( 111.16/112.00 X387, 111.16/112.00 emptyset)), 111.16/112.00 emptyset))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X388, 111.16/112.00 X389]: 111.16/112.00 in( 111.16/112.00 X389, 111.16/112.00 setunion( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X388, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X388, 111.16/112.00 setadjoin( 111.16/112.00 X389, 111.16/112.00 emptyset)), 111.16/112.00 emptyset))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X390, 111.16/112.00 X391]: 111.16/112.00 iskpair( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X390, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X390, 111.16/112.00 setadjoin( 111.16/112.00 X391, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X392, 111.16/112.00 X393]: 111.16/112.00 iskpair( 111.16/112.00 kpair( 111.16/112.00 X392,X393))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X394, 111.16/112.00 X395]: 111.16/112.00 (in( 111.16/112.00 X395,X394) => 111.16/112.00 subset( 111.16/112.00 setadjoin( 111.16/112.00 X395, 111.16/112.00 emptyset), 111.16/112.00 X394))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X396, 111.16/112.00 X397]: 111.16/112.00 (in( 111.16/112.00 X397,X396) => 111.16/112.00 in( 111.16/112.00 setadjoin( 111.16/112.00 X397, 111.16/112.00 emptyset), 111.16/112.00 powerset( 111.16/112.00 X396)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X398, 111.16/112.00 X399,X400]: 111.16/112.00 (in( 111.16/112.00 X400,X398) => 111.16/112.00 in( 111.16/112.00 setadjoin( 111.16/112.00 X400, 111.16/112.00 emptyset), 111.16/112.00 powerset( 111.16/112.00 binunion( 111.16/112.00 X398,X399))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X401, 111.16/112.00 X402,X403]: 111.16/112.00 (in( 111.16/112.00 X403, 111.16/112.00 setadjoin( 111.16/112.00 X401, 111.16/112.00 setadjoin( 111.16/112.00 X402, 111.16/112.00 emptyset))) => 111.16/112.00 (( 111.16/112.00 X403 = 111.16/112.00 X401) | 111.16/112.00 (X403 = 111.16/112.00 X402)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X404, 111.16/112.00 X405,X406]: 111.16/112.00 (in( 111.16/112.00 X406,X404) => 111.16/112.00 (![X407]: 111.16/112.00 (in( 111.16/112.00 X407,X405) => 111.16/112.00 subset( 111.16/112.00 setadjoin( 111.16/112.00 X406, 111.16/112.00 setadjoin( 111.16/112.00 X407, 111.16/112.00 emptyset)), 111.16/112.00 binunion( 111.16/112.00 X404,X405)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X408, 111.16/112.00 X409,X410]: 111.16/112.00 (in( 111.16/112.00 X410,X408) => 111.16/112.00 (![X411]: 111.16/112.00 (in( 111.16/112.00 X411,X409) => 111.16/112.00 in( 111.16/112.00 setadjoin( 111.16/112.00 X410, 111.16/112.00 setadjoin( 111.16/112.00 X411, 111.16/112.00 emptyset)), 111.16/112.00 powerset( 111.16/112.00 binunion( 111.16/112.00 X408,X409))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X412, 111.16/112.00 X413,X414]: 111.16/112.00 (in( 111.16/112.00 X414,X412) => 111.16/112.00 (![X415]: 111.16/112.00 (in( 111.16/112.00 X415,X413) => 111.16/112.00 subset( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X414, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X414, 111.16/112.00 setadjoin( 111.16/112.00 X415, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)), 111.16/112.00 powerset( 111.16/112.00 binunion( 111.16/112.00 X412,X413))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X416, 111.16/112.00 X417,X418]: 111.16/112.00 (in( 111.16/112.00 X418,X416) => 111.16/112.00 (![X419]: 111.16/112.00 (in( 111.16/112.00 X419,X417) => 111.16/112.00 in( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X418, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X418, 111.16/112.00 setadjoin( 111.16/112.00 X419, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)), 111.16/112.00 powerset( 111.16/112.00 powerset( 111.16/112.00 binunion( 111.16/112.00 X416,X417)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X420, 111.16/112.00 X421,X422]: 111.16/112.00 (in( 111.16/112.00 X422,X420) => 111.16/112.00 (![X423]: 111.16/112.00 (in( 111.16/112.00 X423,X421) => 111.16/112.00 in( 111.16/112.00 kpair( 111.16/112.00 X422,X423), 111.16/112.00 powerset( 111.16/112.00 powerset( 111.16/112.00 binunion( 111.16/112.00 X420,X421)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X424, 111.16/112.00 X425,X426]: 111.16/112.00 (in( 111.16/112.00 X426,X424) => 111.16/112.00 (![X427]: 111.16/112.00 (in( 111.16/112.00 X427,X425) => 111.16/112.00 in( 111.16/112.00 kpair( 111.16/112.00 X426,X427), 111.16/112.00 cartprod( 111.16/112.00 X424,X425)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X428, 111.16/112.00 X429,X430]: 111.16/112.00 (in( 111.16/112.00 X430, 111.16/112.00 cartprod( 111.16/112.00 X428,X429)) => 111.16/112.00 (?[X431]: 111.16/112.00 (in( 111.16/112.00 X431,X428) & 111.16/112.00 (?[X432]: 111.16/112.00 (in( 111.16/112.00 X432,X429) & 111.16/112.00 (X430 = 111.16/112.00 kpair( 111.16/112.00 X431,X432)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X433, 111.16/112.00 X434,X435]: 111.16/112.00 (in( 111.16/112.00 X435, 111.16/112.00 cartprod( 111.16/112.00 X433,X434)) => 111.16/112.00 iskpair( 111.16/112.00 X435))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X436, 111.16/112.00 X437]: 111.16/112.00 (in( 111.16/112.00 X437, 111.16/112.00 setunion( 111.16/112.00 X436)) => 111.16/112.00 (?[X438]: 111.16/112.00 (in( 111.16/112.00 X438,X436) & 111.16/112.00 in( 111.16/112.00 X437,X438))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X439]: 111.16/112.00 subset( 111.16/112.00 setunion( 111.16/112.00 setadjoin( 111.16/112.00 X439, 111.16/112.00 emptyset)), 111.16/112.00 X439)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X440]: 111.16/112.00 subset( 111.16/112.00 X440, 111.16/112.00 setunion( 111.16/112.00 setadjoin( 111.16/112.00 X440, 111.16/112.00 emptyset)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X441]: 111.16/112.00 (setunion( 111.16/112.00 setadjoin( 111.16/112.00 X441, 111.16/112.00 emptyset)) = 111.16/112.00 X441)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X442, 111.16/112.00 X443:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ![X444]: 111.16/112.00 (in( 111.16/112.00 X444,X442) => 111.16/112.00 (![X445]: 111.16/112.00 (in( 111.16/112.00 X445,X442) => 111.16/112.00 (X443( 111.16/112.00 X444) => 111.16/112.00 (X443( 111.16/112.00 X445) => 111.16/112.00 (X444 = 111.16/112.00 X445))))))) => 111.16/112.00 (( 111.16/112.00 ?[X446]: 111.16/112.00 (in( 111.16/112.00 X446,X442) & 111.16/112.00 X443( 111.16/112.00 X446))) => 111.16/112.00 (?[X447]: 111.16/112.00 (in( 111.16/112.00 X447, 111.16/112.00 dsetconstr( 111.16/112.00 X442, 111.16/112.00 '#ll_0'( 111.16/112.00 X443))) & 111.16/112.00 (dsetconstr( 111.16/112.00 X442, 111.16/112.00 '#ll_0'( 111.16/112.00 X443)) = 111.16/112.00 setadjoin( 111.16/112.00 X447, 111.16/112.00 emptyset))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X448, 111.16/112.00 X449:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ?[X450]: 111.16/112.00 (in( 111.16/112.00 X450, 111.16/112.00 dsetconstr( 111.16/112.00 X448, 111.16/112.00 '#ll_0'( 111.16/112.00 X449))) & 111.16/112.00 (dsetconstr( 111.16/112.00 X448, 111.16/112.00 '#ll_0'( 111.16/112.00 X449)) = 111.16/112.00 setadjoin( 111.16/112.00 X450, 111.16/112.00 emptyset)))) => 111.16/112.00 (?[X451]: 111.16/112.00 (in( 111.16/112.00 X451,X448) & 111.16/112.00 X449( 111.16/112.00 X451))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X452, 111.16/112.00 X453:( 111.16/112.00 $i > $o), 111.16/112.00 X454]: 111.16/112.00 (in( 111.16/112.00 X454,X452) => 111.16/112.00 (X453( 111.16/112.00 X454) => 111.16/112.00 (( 111.16/112.00 ![X455]: 111.16/112.00 (in( 111.16/112.00 X455,X452) => 111.16/112.00 (X453( 111.16/112.00 X455) => 111.16/112.00 (X455 = 111.16/112.00 X454)))) => 111.16/112.00 (?[X456]: 111.16/112.00 (in( 111.16/112.00 X456, 111.16/112.00 dsetconstr( 111.16/112.00 X452, 111.16/112.00 '#ll_0'( 111.16/112.00 X453))) & 111.16/112.00 (dsetconstr( 111.16/112.00 X452, 111.16/112.00 '#ll_0'( 111.16/112.00 X453)) = 111.16/112.00 setadjoin( 111.16/112.00 X456, 111.16/112.00 emptyset)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X457, 111.16/112.00 X458:( 111.16/112.00 $i > $o)]: 111.16/112.00 (( 111.16/112.00 ![X459]: 111.16/112.00 (in( 111.16/112.00 X459,X457) => 111.16/112.00 (![X460]: 111.16/112.00 (in( 111.16/112.00 X460,X457) => 111.16/112.00 (X458( 111.16/112.00 X459) => 111.16/112.00 (X458( 111.16/112.00 X460) => 111.16/112.00 (X459 = 111.16/112.00 X460))))))) => 111.16/112.00 (( 111.16/112.00 ?[X461]: 111.16/112.00 (in( 111.16/112.00 X461,X457) & 111.16/112.00 X458( 111.16/112.00 X461))) => 111.16/112.00 (?[X462]: 111.16/112.00 (in( 111.16/112.00 X462, 111.16/112.00 dsetconstr( 111.16/112.00 X457, 111.16/112.00 '#ll_0'( 111.16/112.00 X458))) & 111.16/112.00 (dsetconstr( 111.16/112.00 X457, 111.16/112.00 '#ll_0'( 111.16/112.00 X458)) = 111.16/112.00 setadjoin( 111.16/112.00 X462, 111.16/112.00 emptyset))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X463, 111.16/112.00 X464]: 111.16/112.00 (( 111.16/112.00 setadjoin( 111.16/112.00 X463, 111.16/112.00 emptyset) = 111.16/112.00 setadjoin( 111.16/112.00 X464, 111.16/112.00 emptyset)) => 111.16/112.00 (X463 = 111.16/112.00 X464))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X465, 111.16/112.00 X466,X467]: 111.16/112.00 (in( 111.16/112.00 setadjoin( 111.16/112.00 X467, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X465, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X465, 111.16/112.00 setadjoin( 111.16/112.00 X466, 111.16/112.00 emptyset)), 111.16/112.00 emptyset))) => 111.16/112.00 (X465 = 111.16/112.00 X467))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X468]: 111.16/112.00 (iskpair( 111.16/112.00 X468) => 111.16/112.00 (?[X469]: 111.16/112.00 (in( 111.16/112.00 X469, 111.16/112.00 dsetconstr( 111.16/112.00 setunion( 111.16/112.00 X468), 111.16/112.00 '#ll_5'( 111.16/112.00 X468))) & 111.16/112.00 (dsetconstr( 111.16/112.00 setunion( 111.16/112.00 X468), 111.16/112.00 '#ll_5'( 111.16/112.00 X468)) = 111.16/112.00 setadjoin( 111.16/112.00 X469, 111.16/112.00 emptyset)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X470]: 111.16/112.00 (( 111.16/112.00 ?[X471]: 111.16/112.00 (in( 111.16/112.00 X471,X470) & 111.16/112.00 (X470 = 111.16/112.00 setadjoin( 111.16/112.00 X471, 111.16/112.00 emptyset)))) => 111.16/112.00 in( 111.16/112.00 setunion( 111.16/112.00 X470), 111.16/112.00 X470))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X472, 111.16/112.00 X473]: 111.16/112.00 (kfst( 111.16/112.00 kpair( 111.16/112.00 X472,X473)) = 111.16/112.00 X472)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X474, 111.16/112.00 X475,X476]: 111.16/112.00 (in( 111.16/112.00 X476, 111.16/112.00 cartprod( 111.16/112.00 X474,X475)) => 111.16/112.00 in( 111.16/112.00 kfst( 111.16/112.00 X476), 111.16/112.00 X474))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X477, 111.16/112.00 X478, 111.16/112.00 X479,X480]: 111.16/112.00 (( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X477, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X477, 111.16/112.00 setadjoin( 111.16/112.00 X478, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)) = 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X479, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X479, 111.16/112.00 setadjoin( 111.16/112.00 X480, 111.16/112.00 emptyset)), 111.16/112.00 emptyset))) => 111.16/112.00 (X477 = 111.16/112.00 X479))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X481, 111.16/112.00 X482, 111.16/112.00 X483,X484]: 111.16/112.00 (( 111.16/112.00 kpair( 111.16/112.00 X481,X482) = 111.16/112.00 kpair( 111.16/112.00 X483,X484)) => 111.16/112.00 (X481 = 111.16/112.00 X483))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X485, 111.16/112.00 X486]: 111.16/112.00 (( 111.16/112.00 X485 = 111.16/112.00 X486) => 111.16/112.00 (setadjoin( 111.16/112.00 X485, 111.16/112.00 setadjoin( 111.16/112.00 X486, 111.16/112.00 emptyset)) = 111.16/112.00 setadjoin( 111.16/112.00 X485, 111.16/112.00 emptyset)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X487, 111.16/112.00 X488]: 111.16/112.00 (( 111.16/112.00 X487 = 111.16/112.00 X488) => 111.16/112.00 (setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X487, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X487, 111.16/112.00 setadjoin( 111.16/112.00 X488, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)) = 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X487, 111.16/112.00 emptyset), 111.16/112.00 emptyset)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X489, 111.16/112.00 X490, 111.16/112.00 X491,X492]: 111.16/112.00 (( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X489, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X489, 111.16/112.00 setadjoin( 111.16/112.00 X490, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)) = 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X491, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X491, 111.16/112.00 setadjoin( 111.16/112.00 X492, 111.16/112.00 emptyset)), 111.16/112.00 emptyset))) => 111.16/112.00 (( 111.16/112.00 X491 = 111.16/112.00 X492) => 111.16/112.00 (X490 = 111.16/112.00 X492)))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X493, 111.16/112.00 X494,X495]: 111.16/112.00 (( 111.16/112.00 setadjoin( 111.16/112.00 X493, 111.16/112.00 setadjoin( 111.16/112.00 X494, 111.16/112.00 emptyset)) = 111.16/112.00 setadjoin( 111.16/112.00 X495, 111.16/112.00 emptyset)) => 111.16/112.00 (X493 = 111.16/112.00 X494))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X496, 111.16/112.00 X497, 111.16/112.00 X498,X499]: 111.16/112.00 (( 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X496, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X496, 111.16/112.00 setadjoin( 111.16/112.00 X497, 111.16/112.00 emptyset)), 111.16/112.00 emptyset)) = 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X498, 111.16/112.00 emptyset), 111.16/112.00 setadjoin( 111.16/112.00 setadjoin( 111.16/112.00 X498, 111.16/112.00 setadjoin( 111.16/112.00 X499, 111.16/112.00 emptyset)), 111.16/112.00 emptyset))) => 111.16/112.00 (X497 = 111.16/112.00 X499))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X500, 111.16/112.00 X501, 111.16/112.00 X502,X503]: 111.16/112.00 (( 111.16/112.00 kpair( 111.16/112.00 X500,X501) = 111.16/112.00 kpair( 111.16/112.00 X502,X503)) => 111.16/112.00 (X501 = 111.16/112.00 X503))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X504]: 111.16/112.00 (iskpair( 111.16/112.00 X504) => 111.16/112.00 (?[X505]: 111.16/112.00 (in( 111.16/112.00 X505, 111.16/112.00 dsetconstr( 111.16/112.00 setunion( 111.16/112.00 X504), 111.16/112.00 '#ll_4'( 111.16/112.00 X504))) & 111.16/112.00 (dsetconstr( 111.16/112.00 setunion( 111.16/112.00 X504), 111.16/112.00 '#ll_4'( 111.16/112.00 X504)) = 111.16/112.00 setadjoin( 111.16/112.00 X505, 111.16/112.00 emptyset)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X506, 111.16/112.00 X507]: 111.16/112.00 (ksnd( 111.16/112.00 kpair( 111.16/112.00 X506,X507)) = 111.16/112.00 X507)) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X508]: 111.16/112.00 (iskpair( 111.16/112.00 X508) => 111.16/112.00 (kpair( 111.16/112.00 kfst( 111.16/112.00 X508), 111.16/112.00 ksnd( 111.16/112.00 X508)) = 111.16/112.00 X508))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X509, 111.16/112.00 X510,X511]: 111.16/112.00 (in( 111.16/112.00 X511, 111.16/112.00 cartprod( 111.16/112.00 X509,X510)) => 111.16/112.00 in( 111.16/112.00 ksnd( 111.16/112.00 X511), 111.16/112.00 X510))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X512, 111.16/112.00 X513, 111.16/112.00 X514,X515]: 111.16/112.00 (in( 111.16/112.00 kpair( 111.16/112.00 X514,X515), 111.16/112.00 cartprod( 111.16/112.00 X512,X513)) => 111.16/112.00 in( 111.16/112.00 X514,X512))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X516, 111.16/112.00 X517, 111.16/112.00 X518,X519]: 111.16/112.00 (in( 111.16/112.00 kpair( 111.16/112.00 X518,X519), 111.16/112.00 cartprod( 111.16/112.00 X516,X517)) => 111.16/112.00 in( 111.16/112.00 X519,X517))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X520, 111.16/112.00 X521,X522]: 111.16/112.00 (in( 111.16/112.00 X522,X520) => 111.16/112.00 (![X523]: 111.16/112.00 (in( 111.16/112.00 X523,X521) => 111.16/112.00 (kpair( 111.16/112.00 X522,X523) = 111.16/112.00 kpair( 111.16/112.00 X522,X523)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X524, 111.16/112.00 X525,X526]: 111.16/112.00 (in( 111.16/112.00 X526,X524) => 111.16/112.00 (![X527]: 111.16/112.00 (in( 111.16/112.00 X527,X525) => 111.16/112.00 (kfst( 111.16/112.00 kpair( 111.16/112.00 X526,X527)) = 111.16/112.00 X526))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X528, 111.16/112.00 X529,X530]: 111.16/112.00 (in( 111.16/112.00 X530,X528) => 111.16/112.00 (![X531]: 111.16/112.00 (in( 111.16/112.00 X531,X529) => 111.16/112.00 (ksnd( 111.16/112.00 kpair( 111.16/112.00 X530,X531)) = 111.16/112.00 X531))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X532, 111.16/112.00 X533,X534]: 111.16/112.00 (in( 111.16/112.00 X534, 111.16/112.00 cartprod( 111.16/112.00 X532,X533)) => 111.16/112.00 (kpair( 111.16/112.00 kfst( 111.16/112.00 X534), 111.16/112.00 ksnd( 111.16/112.00 X534)) = 111.16/112.00 X534))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X535, 111.16/112.00 X536, 111.16/112.00 X537:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o),X538]: 111.16/112.00 (in( 111.16/112.00 X538,X535) => 111.16/112.00 (![X539]: 111.16/112.00 (in( 111.16/112.00 X539,X536) => 111.16/112.00 (X537( 111.16/112.00 X538,X539) => 111.16/112.00 in( 111.16/112.00 kpair( 111.16/112.00 X538,X539), 111.16/112.00 dpsetconstr( 111.16/112.00 X535, 111.16/112.00 X536, 111.16/112.00 '#ll_3'( 111.16/112.00 X537)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X540, 111.16/112.00 X541, 111.16/112.00 X542:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o)]: 111.16/112.00 subset( 111.16/112.00 dpsetconstr( 111.16/112.00 X540, 111.16/112.00 X541, 111.16/112.00 '#ll_3'( 111.16/112.00 X542)), 111.16/112.00 cartprod( 111.16/112.00 X540,X541))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X543, 111.16/112.00 X544, 111.16/112.00 X545:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o)]: 111.16/112.00 subset( 111.16/112.00 dpsetconstr( 111.16/112.00 X543, 111.16/112.00 X544, 111.16/112.00 '#ll_3'( 111.16/112.00 X545)), 111.16/112.00 cartprod( 111.16/112.00 X543,X544))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X546, 111.16/112.00 X547, 111.16/112.00 X548:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o),X549]: 111.16/112.00 (in( 111.16/112.00 X549,X546) => 111.16/112.00 (![X550]: 111.16/112.00 (in( 111.16/112.00 X550,X547) => 111.16/112.00 (in( 111.16/112.00 kpair( 111.16/112.00 X549,X550), 111.16/112.00 dpsetconstr( 111.16/112.00 X546, 111.16/112.00 X547, 111.16/112.00 '#ll_3'( 111.16/112.00 X548))) => 111.16/112.00 X548( 111.16/112.00 X549,X550)))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X551, 111.16/112.00 X552, 111.16/112.00 X553:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o),X554, 111.16/112.00 X555]: 111.16/112.00 (in( 111.16/112.00 kpair( 111.16/112.00 X554,X555), 111.16/112.00 dpsetconstr( 111.16/112.00 X551, 111.16/112.00 X552, 111.16/112.00 '#ll_3'( 111.16/112.00 X553))) => 111.16/112.00 in( 111.16/112.00 X554,X551))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X556, 111.16/112.00 X557, 111.16/112.00 X558:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o),X559, 111.16/112.00 X560]: 111.16/112.00 (in( 111.16/112.00 kpair( 111.16/112.00 X559,X560), 111.16/112.00 dpsetconstr( 111.16/112.00 X556, 111.16/112.00 X557, 111.16/112.00 '#ll_3'( 111.16/112.00 X558))) => 111.16/112.00 in( 111.16/112.00 X560,X557))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X561, 111.16/112.00 X562, 111.16/112.00 X563:( 111.16/112.00 ($i * $i) > 111.16/112.00 $o),X564, 111.16/112.00 X565]: 111.16/112.00 (in( 111.16/112.00 kpair( 111.16/112.00 X564,X565), 111.16/112.00 dpsetconstr( 111.16/112.00 X561, 111.16/112.00 X562, 111.16/112.00 '#ll_3'( 111.16/112.00 X563))) => 111.16/112.00 X563( 111.16/112.00 X564,X565))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X566, 111.16/112.00 X567,X568]: 111.16/112.00 (func( 111.16/112.00 X566, 111.16/112.00 X567,X568) => 111.16/112.00 (![X569]: 111.16/112.00 (in( 111.16/112.00 X569,X566) => 111.16/112.00 (?[X570]: 111.16/112.00 (in( 111.16/112.00 X570, 111.16/112.00 dsetconstr( 111.16/112.00 X567, 111.16/112.00 '#ll_2'( 111.16/112.00 X569,X568))) & 111.16/112.00 (dsetconstr( 111.16/112.00 X567, 111.16/112.00 '#ll_2'( 111.16/112.00 X569,X568)) = 111.16/112.00 setadjoin( 111.16/112.00 X570, 111.16/112.00 emptyset)))))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X571, 111.16/112.00 X572,X573]: 111.16/112.00 (func( 111.16/112.00 X571, 111.16/112.00 X572,X573) => 111.16/112.00 (![X574]: 111.16/112.00 (in( 111.16/112.00 X574,X571) => 111.16/112.00 in( 111.16/112.00 setunion( 111.16/112.00 dsetconstr( 111.16/112.00 X572, 111.16/112.00 '#ll_2'( 111.16/112.00 X574,X573))), 111.16/112.00 X572))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X575, 111.16/112.00 X576,X577]: 111.16/112.00 (func( 111.16/112.00 X575, 111.16/112.00 X576,X577) => 111.16/112.00 (![X578]: 111.16/112.00 (in( 111.16/112.00 X578,X575) => 111.16/112.00 in( 111.16/112.00 ap( 111.16/112.00 X575, 111.16/112.00 X576, 111.16/112.00 X577,X578), 111.16/112.00 X576))))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X579, 111.16/112.00 X580,X581]: 111.16/112.00 (in( 111.16/112.00 X581, 111.16/112.00 funcSet( 111.16/112.00 X579,X580)) => 111.16/112.00 func( 111.16/112.00 X579, 111.16/112.00 X580,X581))) => 111.16/112.00 ( 111.16/112.00 ( 111.16/112.00 ![X582, 111.16/112.00 X583,X584]: 111.16/112.00 (in( 111.16/112.00 X584, 111.16/112.00 funcSet( 111.16/112.00 X582,X583)) => 111.16/112.00 (![X585]: 111.16/112.00 (in( 111.16/112.00 X585,X582) => 111.16/112.00 in( 111.16/112.00 ap( 111.16/112.00 X582, 111.16/112.00 X583, 111.16/112.01 X584,X585), 111.16/112.01 X583))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X586, 111.16/112.01 X587,X588]: 111.16/112.01 (func( 111.16/112.01 X586, 111.16/112.01 X587,X588) => 111.16/112.01 in( 111.16/112.01 X588, 111.16/112.01 funcSet( 111.16/112.01 X586,X587)))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X589, 111.16/112.01 X590, 111.16/112.01 X591:( 111.16/112.01 $i > $i)]: 111.16/112.01 (( 111.16/112.01 ![X592]: 111.16/112.01 (in( 111.16/112.01 X592,X589) => 111.16/112.01 in( 111.16/112.01 X591( 111.16/112.01 X592), 111.16/112.01 X590))) => 111.16/112.01 func( 111.16/112.01 X589, 111.16/112.01 X590, 111.16/112.01 dpsetconstr( 111.16/112.01 X589, 111.16/112.01 X590, 111.16/112.01 '#ll_1'( 111.16/112.01 X591))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X593, 111.16/112.01 X594, 111.16/112.01 X595:( 111.16/112.01 $i > $i)]: 111.16/112.01 (( 111.16/112.01 ![X596]: 111.16/112.01 (in( 111.16/112.01 X596,X593) => 111.16/112.01 in( 111.16/112.01 X595( 111.16/112.01 X596), 111.16/112.01 X594))) => 111.16/112.01 func( 111.16/112.01 X593, 111.16/112.01 X594, 111.16/112.01 dpsetconstr( 111.16/112.01 X593, 111.16/112.01 X594, 111.16/112.01 '#ll_1'( 111.16/112.01 X595))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X597, 111.16/112.01 X598, 111.16/112.01 X599:( 111.16/112.01 $i > $i)]: 111.16/112.01 (( 111.16/112.01 ![X600]: 111.16/112.01 (in( 111.16/112.01 X600,X597) => 111.16/112.01 in( 111.16/112.01 X599( 111.16/112.01 X600), 111.16/112.01 X598))) => 111.16/112.01 in( 111.16/112.01 dpsetconstr( 111.16/112.01 X597, 111.16/112.01 X598, 111.16/112.01 '#ll_1'( 111.16/112.01 X599)), 111.16/112.01 funcSet( 111.16/112.01 X597,X598)))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X601, 111.16/112.01 X602,X603]: 111.16/112.01 (subset( 111.16/112.01 X603, 111.16/112.01 cartprod( 111.16/112.01 X601,X602)) => 111.16/112.01 (![X604:( 111.16/112.01 $i > $o)]: 111.16/112.01 (( 111.16/112.01 ![X605]: 111.16/112.01 (in( 111.16/112.01 X605,X601) => 111.16/112.01 (![X606]: 111.16/112.01 (in( 111.16/112.01 X606,X602) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X605,X606), 111.16/112.01 X603) => 111.16/112.01 X604( 111.16/112.01 kpair( 111.16/112.01 X605,X606))))))) => 111.16/112.01 (![X607]: 111.16/112.01 (in( 111.16/112.01 X607,X603) => 111.16/112.01 X604( 111.16/112.01 X607))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X608, 111.16/112.01 X609,X610]: 111.16/112.01 (subset( 111.16/112.01 X610, 111.16/112.01 cartprod( 111.16/112.01 X608,X609)) => 111.16/112.01 (![X611:( 111.16/112.01 $i > $o)]: 111.16/112.01 (( 111.16/112.01 ![X612]: 111.16/112.01 (in( 111.16/112.01 X612,X608) => 111.16/112.01 (![X613]: 111.16/112.01 (in( 111.16/112.01 X613,X609) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X612,X613), 111.16/112.01 X610) => 111.16/112.01 X611( 111.16/112.01 kpair( 111.16/112.01 X612,X613))))))) => 111.16/112.01 (![X614]: 111.16/112.01 (in( 111.16/112.01 X614,X610) => 111.16/112.01 X611( 111.16/112.01 X614))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X615, 111.16/112.01 X616:( 111.16/112.01 $i > $o)]: 111.16/112.01 (( 111.16/112.01 ?[X617]: 111.16/112.01 (in( 111.16/112.01 X617, 111.16/112.01 dsetconstr( 111.16/112.01 X615, 111.16/112.01 '#ll_0'( 111.16/112.01 X616))) & 111.16/112.01 (dsetconstr( 111.16/112.01 X615, 111.16/112.01 '#ll_0'( 111.16/112.01 X616)) = 111.16/112.01 setadjoin( 111.16/112.01 X617, 111.16/112.01 emptyset)))) => 111.16/112.01 (![X618]: 111.16/112.01 (in( 111.16/112.01 X618,X615) => 111.16/112.01 (![X619]: 111.16/112.01 (in( 111.16/112.01 X619,X615) => 111.16/112.01 (X616( 111.16/112.01 X618) => 111.16/112.01 (X616( 111.16/112.01 X619) => 111.16/112.01 (X618 = 111.16/112.01 X619))))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X620, 111.16/112.01 X621,X622]: 111.16/112.01 (func( 111.16/112.01 X620, 111.16/112.01 X621,X622) => 111.16/112.01 (![X623]: 111.16/112.01 (in( 111.16/112.01 X623,X620) => 111.16/112.01 in( 111.16/112.01 kpair( 111.16/112.01 X623, 111.16/112.01 ap( 111.16/112.01 X620, 111.16/112.01 X621, 111.16/112.01 X622,X623)), 111.16/112.01 X622))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X624, 111.16/112.01 X625,X626]: 111.16/112.01 (in( 111.16/112.01 X626, 111.16/112.01 funcSet( 111.16/112.01 X624,X625)) => 111.16/112.01 (![X627]: 111.16/112.01 (in( 111.16/112.01 X627,X624) => 111.16/112.01 in( 111.16/112.01 kpair( 111.16/112.01 X627, 111.16/112.01 ap( 111.16/112.01 X624, 111.16/112.01 X625, 111.16/112.01 X626,X627)), 111.16/112.01 X626))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X628, 111.16/112.01 X629,X630]: 111.16/112.01 (func( 111.16/112.01 X628, 111.16/112.01 X629,X630) => 111.16/112.01 (![X631]: 111.16/112.01 (in( 111.16/112.01 X631,X628) => 111.16/112.01 (![X632]: 111.16/112.01 (in( 111.16/112.01 X632,X629) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X631,X632), 111.16/112.01 X630) => 111.16/112.01 (ap( 111.16/112.01 X628, 111.16/112.01 X629, 111.16/112.01 X630,X631) = 111.16/112.01 X632)))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X633, 111.16/112.01 X634,X635]: 111.16/112.01 (func( 111.16/112.01 X633, 111.16/112.01 X634,X635) => 111.16/112.01 (![X636]: 111.16/112.01 (func( 111.16/112.01 X633, 111.16/112.01 X634,X636) => 111.16/112.01 (( 111.16/112.01 ![X637]: 111.16/112.01 (in( 111.16/112.01 X637,X633) => 111.16/112.01 (ap( 111.16/112.01 X633, 111.16/112.01 X634, 111.16/112.01 X635,X637) = 111.16/112.01 ap( 111.16/112.01 X633, 111.16/112.01 X634, 111.16/112.01 X636,X637)))) => 111.16/112.01 (![X638]: 111.16/112.01 (in( 111.16/112.01 X638,X633) => 111.16/112.01 (![X639]: 111.16/112.01 (in( 111.16/112.01 X639,X634) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X638,X639), 111.16/112.01 X636) => 111.16/112.01 in( 111.16/112.01 kpair( 111.16/112.01 X638,X639), 111.16/112.01 X635))))))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X640, 111.16/112.01 X641,X642]: 111.16/112.01 (in( 111.16/112.01 X642, 111.16/112.01 funcSet( 111.16/112.01 X640,X641)) => 111.16/112.01 (![X643]: 111.16/112.01 (in( 111.16/112.01 X643,X640) => 111.16/112.01 (![X644]: 111.16/112.01 (in( 111.16/112.01 X644,X641) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X643,X644), 111.16/112.01 X642) => 111.16/112.01 (ap( 111.16/112.01 X640, 111.16/112.01 X641, 111.16/112.01 X642,X643) = 111.16/112.01 X644)))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X645, 111.16/112.01 X646,X647]: 111.16/112.01 (subset( 111.16/112.01 X647, 111.16/112.01 cartprod( 111.16/112.01 X645,X646)) => 111.16/112.01 (![X648]: 111.16/112.01 (subset( 111.16/112.01 X648, 111.16/112.01 cartprod( 111.16/112.01 X645,X646)) => 111.16/112.01 (( 111.16/112.01 ![X649]: 111.16/112.01 (in( 111.16/112.01 X649,X645) => 111.16/112.01 (![X650]: 111.16/112.01 (in( 111.16/112.01 X650,X646) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X649,X650), 111.16/112.01 X647) => 111.16/112.01 in( 111.16/112.01 kpair( 111.16/112.01 X649,X650), 111.16/112.01 X648)))))) => 111.16/112.01 subset( 111.16/112.01 X647,X648)))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X651, 111.16/112.01 X652,X653]: 111.16/112.01 (subset( 111.16/112.01 X653, 111.16/112.01 cartprod( 111.16/112.01 X651,X652)) => 111.16/112.01 (![X654]: 111.16/112.01 (subset( 111.16/112.01 X654, 111.16/112.01 cartprod( 111.16/112.01 X651,X652)) => 111.16/112.01 (( 111.16/112.01 ![X655]: 111.16/112.01 (in( 111.16/112.01 X655,X651) => 111.16/112.01 (![X656]: 111.16/112.01 (in( 111.16/112.01 X656,X652) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X655,X656), 111.16/112.01 X653) => 111.16/112.01 in( 111.16/112.01 kpair( 111.16/112.01 X655,X656), 111.16/112.01 X654)))))) => 111.16/112.01 (( 111.16/112.01 ![X657]: 111.16/112.01 (in( 111.16/112.01 X657,X651) => 111.16/112.01 (![X658]: 111.16/112.01 (in( 111.16/112.01 X658,X652) => 111.16/112.01 (in( 111.16/112.01 kpair( 111.16/112.01 X657,X658), 111.16/112.01 X654) => 111.16/112.01 in( 111.16/112.01 kpair( 111.16/112.01 X657,X658), 111.16/112.01 X653)))))) => 111.16/112.01 (X653 = 111.16/112.01 X654))))))) => 111.16/112.01 ( 111.16/112.01 ( 111.16/112.01 ![X659, 111.16/112.01 X660,X661]: 111.16/112.01 (func( 111.16/112.01 X659, 111.16/112.01 X660,X661) => 111.16/112.01 (![X662]: 111.16/112.01 (func( 111.16/112.01 X659, 111.16/112.01 X660,X662) => 111.16/112.01 (( 111.16/112.01 ![X663]: 111.16/112.01 (in( 111.16/112.01 X663,X659) => 111.16/112.01 (ap( 111.16/112.01 X659, 111.16/112.01 X660, 111.16/112.01 X661,X663) = 111.16/112.01 ap( 111.16/112.01 X659, 111.16/112.01 X660, 111.16/112.01 X662,X663)))) => 111.16/112.01 (X661 = 111.16/112.01 X662)))))) => 111.16/112.01 ( 111.16/112.01 ![X664, 111.16/112.01 X665,X666]: 111.16/112.01 (in( 111.16/112.01 X666, 111.16/112.01 funcSet( 111.16/112.01 X664,X665)) => 111.16/112.01 (![X667]: 111.16/112.01 (in( 111.16/112.01 X667, 111.16/112.01 funcSet( 111.16/112.01 X664,X665)) => 111.16/112.01 (( 111.16/112.01 ![X668]: 111.16/112.01 (in( 111.16/112.01 X668,X664) => 111.16/112.01 (ap( 111.16/112.01 X664, 111.16/112.01 X665, 111.16/112.01 X666,X668) = 111.16/112.01 ap( 111.16/112.01 X664, 111.16/112.01 X665, 111.16/112.01 X667,X668)))) => 111.16/112.01 (X666 = 111.16/112.01 X667))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 111.16/112.01 tff(zf_stmt_1, type, zip_tseitin5 : ($i * $i > $o) > $o). 111.16/112.01 tff(zf_stmt_2, axiom, 111.16/112.01 (zip_tseitin5(X211,X207) <=> 111.16/112.01 ((![X212]: zip_tseitin4(X212,X211,X207)) & X207(X211)))). 111.16/112.01 tff(zf_stmt_3, type, zip_tseitin4 : ($i * $i * $i > $o) > $o). 111.16/112.01 tff(zf_stmt_4, axiom, 111.16/112.01 (zip_tseitin4(X212,X211,X207) <=> (X207(X212) => (X211 = X212)))). 111.16/112.01 tff(zf_stmt_5, type, zip_tseitin3 : ($i * $i * $i * ($i * $i) > $o) > $o). 111.16/112.01 tff(zf_stmt_6, axiom, 111.16/112.01 (zip_tseitin3(X26,X25,X20,X19) <=> (X19(X26,X25) & in(X26,X20)))). 111.16/112.01 tff(zf_stmt_7, type, zip_tseitin2 : ($i * $i * $i) > $o). 111.16/112.01 tff(zf_stmt_8, axiom, 111.16/112.01 (zip_tseitin2(X14,X13,X12) <=> (in(X14,X12) & in(X13,X14)))). 111.16/112.01 tff(zf_stmt_9, type, zip_tseitin1 : ($i * $i * $i) > $o). 111.16/112.01 tff(zf_stmt_10, axiom, 111.16/112.01 (zip_tseitin1(X11,X10,X9) <=> (in(X11,X10) => in(X11,X9)))). 111.16/112.01 tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i * $i) > $o). 111.16/112.01 tff(zf_stmt_12, axiom, (zip_tseitin0(X8,X7,X6) <=> (in(X8,X7) | (X8 = X6)))). 111.16/112.01 tff(zf_stmt_13, conjecture, 111.16/112.01 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 111.16/112.01 ((![X5]: (~in(X5,emptyset))) => 111.16/112.01 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 111.16/112.01 ((![X9,X10]: 111.16/112.01 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 111.16/112.01 ((![X12,X13]: 111.16/112.01 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 111.16/112.01 (in(emptyset,omega) => 111.16/112.01 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 111.16/112.01 ((![X16]: 111.16/112.01 (((![X17]: 111.16/112.01 ((in(X17,X16) & in(X17,omega)) => 111.16/112.01 in(setadjoin(X17,X17),X16))) & 111.16/112.01 in(emptyset,X16)) => 111.16/112.01 (![X18]: (in(X18,omega) => in(X18,X16))))) => 111.16/112.01 ((![X19:(($i * $i) > $o),X20]: 111.16/112.01 ((![X21]: 111.16/112.01 (in(X21,X20) => 111.16/112.01 (?[X22]: 111.16/112.01 ((![X23]: (X19(X21,X23) => (X22 = X23))) & X19(X21,X22))))) => 111.16/112.01 (?[X24]: 111.16/112.01 (![X25]: 111.16/112.01 (in(X25,X24) <=> (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 111.16/112.01 ((![X27]: 111.16/112.01 ((?[X28]: in(X28,X27)) => 111.16/112.01 (?[X29]: 111.16/112.01 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 111.16/112.01 ((![X31]: 111.16/112.01 (?[X32]: 111.16/112.01 ((![X33]: 111.16/112.01 (((?[X34]: in(X34,X33)) & 111.16/112.01 (![X35]: (in(X35,X33) => in(X35,X31)))) => 111.16/112.01 (?[X36,X37]: 111.16/112.01 ((![X38]: 111.16/112.01 (in(X38,X32) => 111.16/112.01 (in(X37,X38) | 111.16/112.01 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 111.16/112.01 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 111.16/112.01 in(X37,X33) & in(X36,X32))))) & 111.16/112.01 (![X41,X42]: 111.16/112.01 ((in(X42,X32) & in(X41,X32)) => 111.16/112.01 ((![X43]: (in(X43,X42) => in(X43,X41))) | 111.16/112.01 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 111.16/112.01 (![X45,X46]: 111.16/112.01 ((in(X46,X31) & in(X45,X31)) => 111.16/112.01 ((![X47]: 111.16/112.01 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 111.16/112.01 (X45 = X46)))) & 111.16/112.01 (![X48]: 111.16/112.01 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 111.16/112.01 ((![X50:($i > $o)]: 111.16/112.01 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 111.16/112.01 X50(descr('#ll_0'(X50))))) => 111.16/112.01 ((![X53,X54:($i > $o),X55]: 111.16/112.01 (in(X55,X53) => 111.16/112.01 (X54(X55) => in(X55,dsetconstr(X53,'#ll_0'(X54)))))) => 111.16/112.01 ((![X56,X57:($i > $o),X58]: 111.16/112.01 (in(X58,dsetconstr(X56,'#ll_0'(X57))) => in(X58,X56))) => 111.16/112.01 ((![X59,X60:($i > $o),X61]: 111.16/112.01 (in(X61,dsetconstr(X59,'#ll_0'(X60))) => X60(X61))) => 111.16/112.01 ((![X62:($i > $o)]: 111.16/112.01 ((?[X63]: 111.16/112.01 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 111.16/112.01 (?[X65]: 111.16/112.01 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 111.16/112.01 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 111.16/112.01 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 111.16/112.01 ((![X71]: (in(X71,emptyset) => $false)) => 111.16/112.01 ((![X72]: (~in(X72,emptyset))) => 111.16/112.01 ((![X73:($i > $o)]: 111.16/112.01 ((?[X74]: 111.16/112.01 ((![X75]: (X73(X75) => (X74 = X75))) & X73(X74))) => 111.16/112.01 (?[X76]: X73(X76)))) => 111.16/112.01 ((![X77,X78]: 111.16/112.01 ((![X79]: (in(X79,X77) => in(X79,X78))) => 111.16/112.01 ((![X80]: (in(X80,X78) => in(X80,X77))) => 111.16/112.01 (X77 = X78)))) => 111.16/112.01 ((![X81]: 111.16/112.01 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 111.16/112.01 ((![X83]: 111.16/112.01 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 111.16/112.01 ((![X85,X86:($i > $o),X87]: 111.16/112.01 (in(X87,X85) => 111.16/112.01 (in(X87,dsetconstr(X85,'#ll_0'(X86))) <=> 111.16/112.01 X86(X87)))) => 111.16/112.01 ((![X88]: 111.16/112.01 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 111.16/112.01 ((![X90,X91:($i > $o),X92]: 111.16/112.01 (in(X92,X90) => 111.16/112.01 (X91(X92) => 111.16/112.01 (dsetconstr(X90,'#ll_0'(X91)) != emptyset)))) => 111.16/112.01 ((![X93]: 111.16/112.01 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 111.16/112.01 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 111.16/112.01 (in(emptyset,setadjoin(emptyset,emptyset)) => 111.16/112.01 ((![X97,X98,X99]: 111.16/112.01 (in(X99,X98) => 111.16/112.01 in(X99,setadjoin(X97,X98)))) => 111.16/112.01 ((![X100,X101,X102]: 111.16/112.01 (in(X102,setadjoin(X100,X101)) => 111.16/112.01 (![X103:$o]: 111.16/112.01 (((X102 = X100) => X103) => 111.16/112.01 ((in(X102,X101) => X103) => X103))))) => 111.16/112.01 ((![X104,X105,X106]: 111.16/112.01 (in(X106,setadjoin(X104,X105)) => 111.16/112.01 (in(X106,X105) | (X106 = X104)))) => 111.16/112.01 ((![X107]: 111.16/112.01 (dsetconstr(X107,'#ll_6') = X107)) => 111.16/112.01 ((![X108,X109]: 111.16/112.01 ((![X110]: 111.16/112.01 (in(X110,X109) => in(X110,X108))) => 111.16/112.01 in(X109,powerset(X108)))) => 111.16/112.01 ((![X111]: in(emptyset,powerset(X111))) => 111.16/112.01 ((![X112]: in(emptyset,powerset(X112))) => 111.16/112.01 ((![X113,X114,X115]: 111.16/112.01 (in(X114,powerset(X113)) => 111.16/112.01 (in(X115,X114) => in(X115,X113)))) => 111.16/112.01 ((![X116,X117,X118]: 111.16/112.01 (in(X117,X118) => 111.16/112.01 (in(X118,X116) => 111.16/112.01 in(X117,setunion(X116))))) => 111.16/112.01 ((![X119,X120]: 111.16/112.01 (in(X120,setunion(X119)) => 111.16/112.01 (![X121:$o]: 111.16/112.01 ((![X122]: 111.16/112.01 (in(X120,X122) => 111.16/112.01 (in(X122,X119) => X121))) => 111.16/112.01 X121)))) => 111.30/112.01 ((![X123,X124]: 111.30/112.01 (in(X124,X123) => 111.30/112.01 in(X124, 111.30/112.01 powerset(setunion(X123))))) => 111.30/112.01 ((![X125:($i > $o)]: 111.30/112.01 ((?[X126]: 111.30/112.01 ((![X127]: 111.30/112.01 (X125(X127) => 111.30/112.01 (X126 = X127))) & 111.30/112.01 X125(X126))) => 111.30/112.01 (?[X128]: 111.30/112.01 (![X129]: 111.30/112.01 (X125(X129) <=> 111.30/112.01 (X129 = X128)))))) => 111.30/112.01 ((![X130]: 111.30/112.01 ((X130 != emptyset) => 111.30/112.01 (?[X131]: in(X131,X130)))) => 111.30/112.01 ((![X132,X133]: 111.30/112.01 (in(X132, 111.30/112.01 setadjoin(X133,emptyset)) => 111.30/112.01 (X132 = X133))) => 111.30/112.01 ((![X134,X135]: 111.30/112.01 ((X134 != X135) => 111.30/112.01 (~ 111.30/112.01 in(X135, 111.30/112.01 setadjoin(X134, 111.30/112.01 emptyset))))) => 111.30/112.01 ((![X136,X137]: 111.30/112.01 ((X136 = X137) => 111.30/112.01 in(X136, 111.30/112.01 setadjoin(X137, 111.30/112.01 emptyset)))) => 111.30/112.01 ((![X138,X139]: 111.30/112.01 (in(X138, 111.30/112.01 setadjoin(X139, 111.30/112.01 emptyset)) => 111.30/112.01 in(X139, 111.30/112.01 setadjoin(X138, 111.30/112.01 emptyset)))) => 111.30/112.01 ((![X140,X141,X142]: 111.30/112.01 (in(X142, 111.30/112.01 setadjoin(X140, 111.30/112.01 setadjoin( 111.30/112.01 X141, 111.30/112.01 emptyset))) => 111.30/112.01 ((X142 = X141) | 111.30/112.01 (X142 = X140)))) => 111.30/112.01 ((![X143,X144]: 111.30/112.01 in(X143, 111.30/112.01 setadjoin(X143, 111.30/112.01 setadjoin( 111.30/112.01 X144, 111.30/112.01 emptyset)))) => 111.30/112.01 ((![X145,X146]: 111.30/112.01 in(X146, 111.30/112.01 setadjoin(X145, 111.30/112.01 setadjoin( 111.30/112.01 X146, 111.30/112.01 emptyset)))) => 111.30/112.01 ((![X147,X148:($i > $o)]: 111.30/112.01 ((?[X149]: 111.30/112.01 (X148(X149) & 111.30/112.01 in(X149,X147))) => 111.30/112.01 ((dsetconstr( 111.30/112.01 X147,'#ll_0'(X148)) = 111.30/112.01 emptyset) => 111.30/112.01 $false))) => 111.30/112.01 ((![X150:($i > $o),X151]: 111.30/112.01 (in(X151,emptyset) => 111.30/112.01 X150(X151))) => 111.30/112.01 ((![X152,X153:($i > $o)]: 111.30/112.01 ((~ 111.30/112.01 (![X154]: 111.30/112.01 (in(X154,X152) => 111.30/112.01 X153(X154)))) => 111.30/112.01 (?[X155]: 111.30/112.01 ((~X153(X155)) & 111.30/112.01 in(X155,X152))))) => 111.30/112.01 ((![X156, 111.30/112.01 X157:($i > $o)]: 111.30/112.01 ((![X158]: 111.30/112.01 (in(X158,X156) => 111.30/112.01 (~X157(X158)))) => 111.30/112.01 (~ 111.30/112.01 (?[X159]: 111.30/112.01 (X157(X159) & 111.30/112.01 in( 111.30/112.01 X159,X156)))))) => 111.30/112.01 ((![X160, 111.30/112.01 X161:($i > $o)]: 111.30/112.01 ((~ 111.30/112.01 (?[X162]: 111.30/112.01 (X161(X162) & 111.30/112.01 in( 111.30/112.01 X162,X160)))) => 111.30/112.01 (![X163]: 111.30/112.01 (in(X163,X160) => 111.30/112.01 (~X161(X163)))))) => 111.30/112.01 ((![X164, 111.30/112.01 X165:($i > $o)]: 111.30/112.01 ((?[X166]: 111.30/112.01 ((~ 111.30/112.01 X165( 111.30/112.01 X166)) & 111.30/112.01 in( 111.30/112.01 X166,X164))) => 111.30/112.01 (~ 111.30/112.01 (![X167]: 111.30/112.01 (in( 111.30/112.01 X167,X164) => 111.30/112.01 X165( 111.30/112.01 X167)))))) => 111.30/112.01 ((![X168:$o]: 111.30/112.01 (X168 => 111.30/112.01 in(emptyset, 111.30/112.01 prop2set( 111.30/112.01 X168)))) => 111.30/112.01 ((![X169:$o]: 111.30/112.01 (X169 => 111.30/112.01 set2prop( 111.30/112.01 prop2set( 111.30/112.01 X169)))) => 111.30/112.01 ((![X170, 111.30/112.01 X171:( 111.30/112.01 $i > $o)]: 111.30/112.01 ((~ 111.30/112.01 (?[X172]: 111.30/112.01 (X171( 111.30/112.01 X172) & 111.30/112.01 in( 111.30/112.01 X172,X170)))) => 111.30/112.01 (![X173]: 111.30/112.01 ( 111.30/112.01 in( 111.30/112.01 X173,X170) => 111.30/112.01 ( 111.30/112.01 ~ 111.30/112.01 X171( 111.30/112.01 X173)))))) => 111.30/112.01 ((![X174, 111.30/112.01 X175:( 111.30/112.01 $i > $o)]: 111.30/112.01 ((~ 111.30/112.01 ( 111.30/112.01 ![X176]: 111.30/112.01 (in( 111.30/112.01 X176,X174) => 111.30/112.01 X175( 111.30/112.01 X176)))) => 111.30/112.01 (?[X177]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 X175( 111.30/112.01 X177)) & 111.30/112.01 in( 111.30/112.01 X177,X174))))) => 111.30/112.01 ((![X178:( 111.30/112.01 $i > $o)]: 111.30/112.01 ((?[X179]: 111.30/112.01 (( 111.30/112.01 ![X180]: 111.30/112.01 (X178( 111.30/112.01 X180) => 111.30/112.01 (X179 = 111.30/112.01 X180))) & 111.30/112.01 X178( 111.30/112.01 X179))) => 111.30/112.01 (?[X181]: 111.30/112.01 (( 111.30/112.01 ![X182]: 111.30/112.01 (X178( 111.30/112.01 X182) => 111.30/112.01 (X181 = 111.30/112.01 X182))) & 111.30/112.01 X178( 111.30/112.01 X181))))) => 111.30/112.01 ((![X183:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ?[X184]: 111.30/112.01 X183( 111.30/112.01 X184)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X185, 111.30/112.01 X186]: 111.30/112.01 (X183( 111.30/112.01 X185) => 111.30/112.01 (X183( 111.30/112.01 X186) => 111.30/112.01 (X185 = 111.30/112.01 X186)))) => 111.30/112.01 ( 111.30/112.01 ?[X187]: 111.30/112.01 (( 111.30/112.01 ![X188]: 111.30/112.01 (X183( 111.30/112.01 X188) => 111.30/112.01 (X187 = 111.30/112.01 X188))) & 111.30/112.01 X183( 111.30/112.01 X187)))))) => 111.30/112.01 ((![X189:( 111.30/112.01 $i > $o)]: 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ?[X190]: 111.30/112.01 (![X191]: 111.30/112.01 (X189( 111.30/112.01 X191) <=> 111.30/112.01 (X191 = 111.30/112.01 X190)))) => 111.30/112.01 ( 111.30/112.01 ?[X192]: 111.30/112.01 (( 111.30/112.01 ![X193]: 111.30/112.01 (X189( 111.30/112.01 X193) => 111.30/112.01 (X192 = 111.30/112.01 X193))) & 111.30/112.01 X189( 111.30/112.01 X192))))) => 111.30/112.01 ((![X194, 111.30/112.01 X195]: 111.30/112.01 (( 111.30/112.01 X194 = 111.30/112.01 X195) => 111.30/112.01 (![X196, 111.30/112.01 X197]: 111.30/112.01 (( 111.30/112.01 X196 = 111.30/112.01 X197) => 111.30/112.01 (in( 111.30/112.01 X196,X194) => 111.30/112.01 in( 111.30/112.01 X197,X195)))))) => 111.30/112.01 ((![X198, 111.30/112.01 X199]: 111.30/112.01 (( 111.30/112.01 X198 = 111.30/112.01 X199) => 111.30/112.01 (![X200, 111.30/112.01 X201]: 111.30/112.01 (( 111.30/112.01 X200 = 111.30/112.01 X201) => 111.30/112.01 (in( 111.30/112.01 X200,X198) <=> 111.30/112.01 in( 111.30/112.01 X201,X199)))))) => 111.30/112.01 (( 111.30/112.01 ![X202:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ?[X203]: 111.30/112.01 (( 111.30/112.01 ![X204]: 111.30/112.01 (X202( 111.30/112.01 X204) => 111.30/112.01 (X203 = 111.30/112.01 X204))) & 111.30/112.01 X202( 111.30/112.01 X203))) => 111.30/112.01 (![X205, 111.30/112.01 X206]: 111.30/112.01 (X202( 111.30/112.01 X205) => 111.30/112.01 (X202( 111.30/112.01 X206) => 111.30/112.01 (X205 = 111.30/112.01 X206)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X207:( 111.30/112.01 $i > $o), 111.30/112.01 X208:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X209, 111.30/112.01 X210]: 111.30/112.01 (( 111.30/112.01 X209 = 111.30/112.01 X210) => 111.30/112.01 (X207( 111.30/112.01 X209) <=> 111.30/112.01 X208( 111.30/112.01 X210)))) => 111.30/112.01 (( 111.30/112.01 ?[X211]: 111.30/112.01 zip_tseitin5( 111.30/112.01 X211,X207)) <=> 111.30/112.01 (?[X213]: 111.30/112.01 zip_tseitin5( 111.30/112.01 X213,X208))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 emptyset = 111.30/112.01 emptyset) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X215, 111.30/112.01 X216]: 111.30/112.01 (( 111.30/112.01 X215 = 111.30/112.01 X216) => 111.30/112.01 (![X217, 111.30/112.01 X218]: 111.30/112.01 (( 111.30/112.01 X217 = 111.30/112.01 X218) => 111.30/112.01 (setadjoin( 111.30/112.01 X215,X217) = 111.30/112.01 setadjoin( 111.30/112.01 X216,X218)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X219, 111.30/112.01 X220]: 111.30/112.01 (( 111.30/112.01 X219 = 111.30/112.01 X220) => 111.30/112.01 (powerset( 111.30/112.01 X219) = 111.30/112.01 powerset( 111.30/112.01 X220)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X221, 111.30/112.01 X222]: 111.30/112.01 (( 111.30/112.01 X221 = 111.30/112.01 X222) => 111.30/112.01 (setunion( 111.30/112.01 X221) = 111.30/112.01 setunion( 111.30/112.01 X222)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 omega = 111.30/112.01 omega) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X223:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ?[X224]: 111.30/112.01 (( 111.30/112.01 ![X225]: 111.30/112.01 (X223( 111.30/112.01 X225) => 111.30/112.01 (X224 = 111.30/112.01 X225))) & 111.30/112.01 X223( 111.30/112.01 X224))) => 111.30/112.01 (![X226, 111.30/112.01 X227]: 111.30/112.01 (X223( 111.30/112.01 X226) => 111.30/112.01 (X223( 111.30/112.01 X227) => 111.30/112.01 (X226 = 111.30/112.01 X227)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X228:( 111.30/112.01 $i > $o), 111.30/112.01 X229:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X230, 111.30/112.01 X231]: 111.30/112.01 (( 111.30/112.01 X230 = 111.30/112.01 X231) => 111.30/112.01 (X228( 111.30/112.01 X230) <=> 111.30/112.01 X229( 111.30/112.01 X231)))) => 111.30/112.01 (( 111.30/112.01 ?[X232]: 111.30/112.01 (( 111.30/112.01 ![X233]: 111.30/112.01 (X228( 111.30/112.01 X233) => 111.30/112.01 (X232 = 111.30/112.01 X233))) & 111.30/112.01 X228( 111.30/112.01 X232))) => 111.30/112.01 (( 111.30/112.01 ?[X234]: 111.30/112.01 (( 111.30/112.01 ![X235]: 111.30/112.01 (X229( 111.30/112.01 X235) => 111.30/112.01 (X234 = 111.30/112.01 X235))) & 111.30/112.01 X229( 111.30/112.01 X234))) => 111.30/112.01 (descr( 111.30/112.01 '#ll_0'( 111.30/112.01 X228)) = 111.30/112.01 descr( 111.30/112.01 '#ll_0'( 111.30/112.01 X229))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X236, 111.30/112.01 X237]: 111.30/112.01 (( 111.30/112.01 X236 = 111.30/112.01 X237) => 111.30/112.01 (![X238:( 111.30/112.01 $i > $o), 111.30/112.01 X239:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X240]: 111.30/112.01 (in( 111.30/112.01 X240,X236) => 111.30/112.01 (![X241]: 111.30/112.01 (in( 111.30/112.01 X241,X237) => 111.30/112.01 (( 111.30/112.01 X240 = 111.30/112.01 X241) => 111.30/112.01 (X238( 111.30/112.01 X240) <=> 111.30/112.01 X239( 111.30/112.01 X241))))))) => 111.30/112.01 (dsetconstr( 111.30/112.01 X236, 111.30/112.01 '#ll_0'( 111.30/112.01 X238)) = 111.30/112.01 dsetconstr( 111.30/112.01 X237, 111.30/112.01 '#ll_0'( 111.30/112.01 X239))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X242, 111.30/112.01 X243]: 111.30/112.01 (( 111.30/112.01 ![X244]: 111.30/112.01 (in( 111.30/112.01 X244,X242) => 111.30/112.01 in( 111.30/112.01 X244,X243))) => 111.30/112.01 subset( 111.30/112.01 X242,X243))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X245, 111.30/112.01 X246]: 111.30/112.01 (( 111.30/112.01 X245 = 111.30/112.01 X246) => 111.30/112.01 subset( 111.30/112.01 X246,X245))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X247, 111.30/112.01 X248]: 111.30/112.01 (( 111.30/112.01 X247 = 111.30/112.01 X248) => 111.30/112.01 subset( 111.30/112.01 X247,X248))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X249, 111.30/112.01 X250]: 111.30/112.01 (( 111.30/112.01 ![X251]: 111.30/112.01 (in( 111.30/112.01 X251,X249) => 111.30/112.01 in( 111.30/112.01 X251,X250))) => 111.30/112.01 subset( 111.30/112.01 X249,X250))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X252]: 111.30/112.01 subset( 111.30/112.01 emptyset, 111.30/112.01 X252)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X253, 111.30/112.01 X254,X255]: 111.30/112.01 (subset( 111.30/112.01 X253,X254) => 111.30/112.01 (in( 111.30/112.01 X255,X253) => 111.30/112.01 in( 111.30/112.01 X255,X254)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X256, 111.30/112.01 X257,X258]: 111.30/112.01 (subset( 111.30/112.01 X256,X257) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X258,X257)) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X258,X256))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X259, 111.30/112.01 X260,X261]: 111.30/112.01 (in( 111.30/112.01 X261,X259) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X261,X260)) => 111.30/112.01 (~ 111.30/112.01 subset( 111.30/112.01 X259,X260))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X262, 111.30/112.01 X263]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 subset( 111.30/112.01 X262,X263)) => 111.30/112.01 (X262 != 111.30/112.01 X263))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X264, 111.30/112.01 X265,X266]: 111.30/112.01 (in( 111.30/112.01 X266,X264) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X266,X265)) => 111.30/112.01 (X264 != 111.30/112.01 X265)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X267]: 111.30/112.01 subset( 111.30/112.01 X267,X267)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X268, 111.30/112.01 X269,X270]: 111.30/112.01 (subset( 111.30/112.01 X268,X269) => 111.30/112.01 (subset( 111.30/112.01 X269,X270) => 111.30/112.01 subset( 111.30/112.01 X268,X270)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X271, 111.30/112.01 X272]: 111.30/112.01 subset( 111.30/112.01 X272, 111.30/112.01 setadjoin( 111.30/112.01 X271,X272))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X273, 111.30/112.01 X274,X275]: 111.30/112.01 (subset( 111.30/112.01 X273,X275) => 111.30/112.01 subset( 111.30/112.01 X273, 111.30/112.01 setadjoin( 111.30/112.01 X274,X275)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X276, 111.30/112.01 X277]: 111.30/112.01 (subset( 111.30/112.01 X276,X277) => 111.30/112.01 in( 111.30/112.01 X276, 111.30/112.01 powerset( 111.30/112.01 X277)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X278, 111.30/112.01 X279]: 111.30/112.01 (subset( 111.30/112.01 X278,X279) => 111.30/112.01 (subset( 111.30/112.01 X279,X278) => 111.30/112.01 (X278 = 111.30/112.01 X279)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X280]: 111.30/112.01 (subset( 111.30/112.01 X280, 111.30/112.01 emptyset) => 111.30/112.01 (X280 = 111.30/112.01 emptyset))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X281, 111.30/112.01 X282]: 111.30/112.01 (subset( 111.30/112.01 X282,X281) => 111.30/112.01 in( 111.30/112.01 X282, 111.30/112.01 powerset( 111.30/112.01 X281)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X283, 111.30/112.01 X284]: 111.30/112.01 (in( 111.30/112.01 X284, 111.30/112.01 powerset( 111.30/112.01 X283)) => 111.30/112.01 subset( 111.30/112.01 X284,X283))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X285]: 111.30/112.01 in( 111.30/112.01 X285, 111.30/112.01 powerset( 111.30/112.01 X285))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X286, 111.30/112.01 X287]: 111.30/112.01 (subset( 111.30/112.01 X286,X287) => 111.30/112.01 subset( 111.30/112.01 powerset( 111.30/112.01 X286), 111.30/112.01 powerset( 111.30/112.01 X287)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X288, 111.30/112.01 X289:( 111.30/112.01 $i > $o)]: 111.30/112.01 in( 111.30/112.01 dsetconstr( 111.30/112.01 X288, 111.30/112.01 '#ll_0'( 111.30/112.01 X289)), 111.30/112.01 powerset( 111.30/112.01 X288))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X290, 111.30/112.01 X291:( 111.30/112.01 $i > $o)]: 111.30/112.01 subset( 111.30/112.01 dsetconstr( 111.30/112.01 X290, 111.30/112.01 '#ll_0'( 111.30/112.01 X291)), 111.30/112.01 X290)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X292, 111.30/112.01 X293,X294]: 111.30/112.01 (in( 111.30/112.01 X294,X292) => 111.30/112.01 in( 111.30/112.01 X294, 111.30/112.01 binunion( 111.30/112.01 X292,X293)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X295, 111.30/112.01 X296]: 111.30/112.01 in( 111.30/112.01 X296, 111.30/112.01 setadjoin( 111.30/112.01 X295, 111.30/112.01 setadjoin( 111.30/112.01 X296, 111.30/112.01 emptyset)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X297, 111.30/112.01 X298,X299]: 111.30/112.01 (in( 111.30/112.01 X299,X298) => 111.30/112.01 in( 111.30/112.01 X299, 111.30/112.01 binunion( 111.30/112.01 X297,X298)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X300, 111.30/112.01 X301, 111.30/112.01 X302, 111.30/112.01 X303:$o]: 111.30/112.01 (in( 111.30/112.01 X302, 111.30/112.01 binunion( 111.30/112.01 X300,X301)) => 111.30/112.01 (( 111.30/112.01 in( 111.30/112.01 X302,X300) => 111.30/112.01 X303) => 111.30/112.01 (( 111.30/112.01 in( 111.30/112.01 X302,X301) => 111.30/112.01 X303) => 111.30/112.01 X303)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X304, 111.30/112.01 X305,X306]: 111.30/112.01 (in( 111.30/112.01 X306, 111.30/112.01 binunion( 111.30/112.01 X304,X305)) => 111.30/112.01 (in( 111.30/112.01 X306,X305) | 111.30/112.01 in( 111.30/112.01 X306,X304)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X307, 111.30/112.01 X308]: 111.30/112.01 subset( 111.30/112.01 X307, 111.30/112.01 binunion( 111.30/112.01 X307,X308))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X309, 111.30/112.01 X310]: 111.30/112.01 subset( 111.30/112.01 X310, 111.30/112.01 binunion( 111.30/112.01 X309,X310))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X311, 111.30/112.01 X312,X313]: 111.30/112.01 (in( 111.30/112.01 X313,X311) => 111.30/112.01 (in( 111.30/112.01 X313,X312) => 111.30/112.01 in( 111.30/112.01 X313, 111.30/112.01 binintersect( 111.30/112.01 X311,X312))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X314, 111.30/112.01 X315,X316]: 111.30/112.01 (subset( 111.30/112.01 X316,X314) => 111.30/112.01 (subset( 111.30/112.01 X316,X315) => 111.30/112.01 subset( 111.30/112.01 X316, 111.30/112.01 binintersect( 111.30/112.01 X314,X315))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X317, 111.30/112.01 X318,X319]: 111.30/112.01 (in( 111.30/112.01 X319, 111.30/112.01 binintersect( 111.30/112.01 X317,X318)) => 111.30/112.01 in( 111.30/112.01 X319,X317))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X320, 111.30/112.01 X321]: 111.30/112.01 subset( 111.30/112.01 binintersect( 111.30/112.01 X320,X321), 111.30/112.01 X320)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X322, 111.30/112.01 X323]: 111.30/112.01 (subset( 111.30/112.01 X322,X323) => 111.30/112.01 (binintersect( 111.30/112.01 X322,X323) = 111.30/112.01 X322))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X324, 111.30/112.01 X325]: 111.30/112.01 (( 111.30/112.01 binintersect( 111.30/112.01 X324,X325) = 111.30/112.01 X325) => 111.30/112.01 subset( 111.30/112.01 X325,X324))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X326, 111.30/112.01 X327,X328]: 111.30/112.01 (in( 111.30/112.01 X328, 111.30/112.01 binintersect( 111.30/112.01 X326,X327)) => 111.30/112.01 in( 111.30/112.01 X328,X327))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X329, 111.30/112.01 X330]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 ( 111.30/112.01 ?[X331]: 111.30/112.01 (in( 111.30/112.01 X331,X330) & 111.30/112.01 in( 111.30/112.01 X331,X329)))) => 111.30/112.01 (binintersect( 111.30/112.01 X329,X330) = 111.30/112.01 emptyset))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X332, 111.30/112.01 X333]: 111.30/112.01 subset( 111.30/112.01 binintersect( 111.30/112.01 X332,X333), 111.30/112.01 X333)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X334, 111.30/112.01 X335]: 111.30/112.01 (subset( 111.30/112.01 X335,X334) => 111.30/112.01 (binintersect( 111.30/112.01 X334,X335) = 111.30/112.01 X335))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X336, 111.30/112.01 X337]: 111.30/112.01 (( 111.30/112.01 binintersect( 111.30/112.01 X336,X337) = 111.30/112.01 X336) => 111.30/112.01 subset( 111.30/112.01 X336,X337))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X338, 111.30/112.01 X339,X340]: 111.30/112.01 (binintersect( 111.30/112.01 X338, 111.30/112.01 binunion( 111.30/112.01 X339,X340)) = 111.30/112.01 binunion( 111.30/112.01 binintersect( 111.30/112.01 X338,X339), 111.30/112.01 binintersect( 111.30/112.01 X338,X340)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X341, 111.30/112.01 X342,X343]: 111.30/112.01 (in( 111.30/112.01 X343,X341) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X343,X342)) => 111.30/112.01 in( 111.30/112.01 X343, 111.30/112.01 setminus( 111.30/112.01 X341,X342))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X344, 111.30/112.01 X345,X346]: 111.30/112.01 (in( 111.30/112.01 X346, 111.30/112.01 setminus( 111.30/112.01 X344,X345)) => 111.30/112.01 in( 111.30/112.01 X346,X344))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X347, 111.30/112.01 X348,X349]: 111.30/112.01 (in( 111.30/112.01 X349, 111.30/112.01 setminus( 111.30/112.01 X347,X348)) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X349,X348)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X350, 111.30/112.01 X351]: 111.30/112.01 (subset( 111.30/112.01 X350,X351) => 111.30/112.01 (setminus( 111.30/112.01 X350,X351) = 111.30/112.01 emptyset))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X352, 111.30/112.01 X353,X354]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X354, 111.30/112.01 setminus( 111.30/112.01 X352,X353))) => 111.30/112.01 (in( 111.30/112.01 X354,X352) => 111.30/112.01 in( 111.30/112.01 X354,X353)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X355, 111.30/112.01 X356,X357]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X357, 111.30/112.01 setminus( 111.30/112.01 X355,X356))) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X357,X356)) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X357,X355))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X358, 111.30/112.01 X359,X360]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X360,X358)) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X360, 111.30/112.01 setminus( 111.30/112.01 X358,X359))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X361, 111.30/112.01 X362,X363]: 111.30/112.01 (in( 111.30/112.01 X363,X362) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X363, 111.30/112.01 setminus( 111.30/112.01 X361,X362))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X364, 111.30/112.01 X365]: 111.30/112.01 subset( 111.30/112.01 setminus( 111.30/112.01 X364,X365), 111.30/112.01 X364)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X366, 111.30/112.01 X367]: 111.30/112.01 (( 111.30/112.01 setminus( 111.30/112.01 X366,X367) = 111.30/112.01 emptyset) => 111.30/112.01 subset( 111.30/112.01 X366,X367))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X368, 111.30/112.01 X369,X370]: 111.30/112.01 (in( 111.30/112.01 X370, 111.30/112.01 symdiff( 111.30/112.01 X368,X369)) => 111.30/112.01 (![X371:$o]: 111.30/112.01 (( 111.30/112.01 in( 111.30/112.01 X370,X368) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X370,X369)) => 111.30/112.01 X371)) => 111.30/112.01 (( 111.30/112.01 ( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X370,X368)) => 111.30/112.01 ( 111.30/112.01 in( 111.30/112.01 X370,X369) => 111.30/112.01 X371)) => 111.30/112.01 X371))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X372, 111.30/112.01 X373,X374]: 111.30/112.01 (in( 111.30/112.01 X374,X372) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X374,X373)) => 111.30/112.01 in( 111.30/112.01 X374, 111.30/112.01 symdiff( 111.30/112.01 X372,X373))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X375, 111.30/112.01 X376,X377]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X377,X375)) => 111.30/112.01 (in( 111.30/112.01 X377,X376) => 111.30/112.01 in( 111.30/112.01 X377, 111.30/112.01 symdiff( 111.30/112.01 X375,X376))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X378, 111.30/112.01 X379,X380]: 111.30/112.01 (in( 111.30/112.01 X380,X378) => 111.30/112.01 (in( 111.30/112.01 X380,X379) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X380, 111.30/112.01 symdiff( 111.30/112.01 X378,X379)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X381, 111.30/112.01 X382,X383]: 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X383,X381)) => 111.30/112.01 (( 111.30/112.01 ~ 111.30/112.01 in( 111.30/112.01 X383,X382)) => 111.30/112.01 (~ 111.30/112.01 in( 111.30/112.01 X383, 111.30/112.01 symdiff( 111.30/112.01 X381,X382)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X384, 111.30/112.01 X385]: 111.30/112.01 in( 111.30/112.01 X385, 111.30/112.01 setadjoin( 111.30/112.01 X384, 111.30/112.01 setadjoin( 111.30/112.01 X385, 111.30/112.01 emptyset)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X386, 111.30/112.01 X387]: 111.30/112.01 in( 111.30/112.01 X386, 111.30/112.01 setunion( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X386, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X386, 111.30/112.01 setadjoin( 111.30/112.01 X387, 111.30/112.01 emptyset)), 111.30/112.01 emptyset))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X388, 111.30/112.01 X389]: 111.30/112.01 in( 111.30/112.01 X389, 111.30/112.01 setunion( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X388, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X388, 111.30/112.01 setadjoin( 111.30/112.01 X389, 111.30/112.01 emptyset)), 111.30/112.01 emptyset))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X390, 111.30/112.01 X391]: 111.30/112.01 iskpair( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X390, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X390, 111.30/112.01 setadjoin( 111.30/112.01 X391, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X392, 111.30/112.01 X393]: 111.30/112.01 iskpair( 111.30/112.01 kpair( 111.30/112.01 X392,X393))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X394, 111.30/112.01 X395]: 111.30/112.01 (in( 111.30/112.01 X395,X394) => 111.30/112.01 subset( 111.30/112.01 setadjoin( 111.30/112.01 X395, 111.30/112.01 emptyset), 111.30/112.01 X394))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X396, 111.30/112.01 X397]: 111.30/112.01 (in( 111.30/112.01 X397,X396) => 111.30/112.01 in( 111.30/112.01 setadjoin( 111.30/112.01 X397, 111.30/112.01 emptyset), 111.30/112.01 powerset( 111.30/112.01 X396)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X398, 111.30/112.01 X399,X400]: 111.30/112.01 (in( 111.30/112.01 X400,X398) => 111.30/112.01 in( 111.30/112.01 setadjoin( 111.30/112.01 X400, 111.30/112.01 emptyset), 111.30/112.01 powerset( 111.30/112.01 binunion( 111.30/112.01 X398,X399))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X401, 111.30/112.01 X402,X403]: 111.30/112.01 (in( 111.30/112.01 X403, 111.30/112.01 setadjoin( 111.30/112.01 X401, 111.30/112.01 setadjoin( 111.30/112.01 X402, 111.30/112.01 emptyset))) => 111.30/112.01 (( 111.30/112.01 X403 = 111.30/112.01 X402) | 111.30/112.01 (X403 = 111.30/112.01 X401)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X404, 111.30/112.01 X405,X406]: 111.30/112.01 (in( 111.30/112.01 X406,X404) => 111.30/112.01 (![X407]: 111.30/112.01 (in( 111.30/112.01 X407,X405) => 111.30/112.01 subset( 111.30/112.01 setadjoin( 111.30/112.01 X406, 111.30/112.01 setadjoin( 111.30/112.01 X407, 111.30/112.01 emptyset)), 111.30/112.01 binunion( 111.30/112.01 X404,X405)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X408, 111.30/112.01 X409,X410]: 111.30/112.01 (in( 111.30/112.01 X410,X408) => 111.30/112.01 (![X411]: 111.30/112.01 (in( 111.30/112.01 X411,X409) => 111.30/112.01 in( 111.30/112.01 setadjoin( 111.30/112.01 X410, 111.30/112.01 setadjoin( 111.30/112.01 X411, 111.30/112.01 emptyset)), 111.30/112.01 powerset( 111.30/112.01 binunion( 111.30/112.01 X408,X409))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X412, 111.30/112.01 X413,X414]: 111.30/112.01 (in( 111.30/112.01 X414,X412) => 111.30/112.01 (![X415]: 111.30/112.01 (in( 111.30/112.01 X415,X413) => 111.30/112.01 subset( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X414, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X414, 111.30/112.01 setadjoin( 111.30/112.01 X415, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)), 111.30/112.01 powerset( 111.30/112.01 binunion( 111.30/112.01 X412,X413))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X416, 111.30/112.01 X417,X418]: 111.30/112.01 (in( 111.30/112.01 X418,X416) => 111.30/112.01 (![X419]: 111.30/112.01 (in( 111.30/112.01 X419,X417) => 111.30/112.01 in( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X418, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X418, 111.30/112.01 setadjoin( 111.30/112.01 X419, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)), 111.30/112.01 powerset( 111.30/112.01 powerset( 111.30/112.01 binunion( 111.30/112.01 X416,X417)))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X420, 111.30/112.01 X421,X422]: 111.30/112.01 (in( 111.30/112.01 X422,X420) => 111.30/112.01 (![X423]: 111.30/112.01 (in( 111.30/112.01 X423,X421) => 111.30/112.01 in( 111.30/112.01 kpair( 111.30/112.01 X422,X423), 111.30/112.01 powerset( 111.30/112.01 powerset( 111.30/112.01 binunion( 111.30/112.01 X420,X421)))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X424, 111.30/112.01 X425,X426]: 111.30/112.01 (in( 111.30/112.01 X426,X424) => 111.30/112.01 (![X427]: 111.30/112.01 (in( 111.30/112.01 X427,X425) => 111.30/112.01 in( 111.30/112.01 kpair( 111.30/112.01 X426,X427), 111.30/112.01 cartprod( 111.30/112.01 X424,X425)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X428, 111.30/112.01 X429,X430]: 111.30/112.01 (in( 111.30/112.01 X430, 111.30/112.01 cartprod( 111.30/112.01 X428,X429)) => 111.30/112.01 (?[X431]: 111.30/112.01 (( 111.30/112.01 ?[X432]: 111.30/112.01 (( 111.30/112.01 X430 = 111.30/112.01 kpair( 111.30/112.01 X431,X432)) & 111.30/112.01 in( 111.30/112.01 X432,X429))) & 111.30/112.01 in( 111.30/112.01 X431,X428))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X433, 111.30/112.01 X434,X435]: 111.30/112.01 (in( 111.30/112.01 X435, 111.30/112.01 cartprod( 111.30/112.01 X433,X434)) => 111.30/112.01 iskpair( 111.30/112.01 X435))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X436, 111.30/112.01 X437]: 111.30/112.01 (in( 111.30/112.01 X437, 111.30/112.01 setunion( 111.30/112.01 X436)) => 111.30/112.01 (?[X438]: 111.30/112.01 (in( 111.30/112.01 X437,X438) & 111.30/112.01 in( 111.30/112.01 X438,X436))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X439]: 111.30/112.01 subset( 111.30/112.01 setunion( 111.30/112.01 setadjoin( 111.30/112.01 X439, 111.30/112.01 emptyset)), 111.30/112.01 X439)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X440]: 111.30/112.01 subset( 111.30/112.01 X440, 111.30/112.01 setunion( 111.30/112.01 setadjoin( 111.30/112.01 X440, 111.30/112.01 emptyset)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X441]: 111.30/112.01 (setunion( 111.30/112.01 setadjoin( 111.30/112.01 X441, 111.30/112.01 emptyset)) = 111.30/112.01 X441)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X442, 111.30/112.01 X443:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X444]: 111.30/112.01 (in( 111.30/112.01 X444,X442) => 111.30/112.01 (![X445]: 111.30/112.01 (in( 111.30/112.01 X445,X442) => 111.30/112.01 (X443( 111.30/112.01 X444) => 111.30/112.01 (X443( 111.30/112.01 X445) => 111.30/112.01 (X444 = 111.30/112.01 X445))))))) => 111.30/112.01 (( 111.30/112.01 ?[X446]: 111.30/112.01 (X443( 111.30/112.01 X446) & 111.30/112.01 in( 111.30/112.01 X446,X442))) => 111.30/112.01 (?[X447]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 X442, 111.30/112.01 '#ll_0'( 111.30/112.01 X443)) = 111.30/112.01 setadjoin( 111.30/112.01 X447, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X447, 111.30/112.01 dsetconstr( 111.30/112.01 X442, 111.30/112.01 '#ll_0'( 111.30/112.01 X443)))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X448, 111.30/112.01 X449:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ?[X450]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 X448, 111.30/112.01 '#ll_0'( 111.30/112.01 X449)) = 111.30/112.01 setadjoin( 111.30/112.01 X450, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X450, 111.30/112.01 dsetconstr( 111.30/112.01 X448, 111.30/112.01 '#ll_0'( 111.30/112.01 X449))))) => 111.30/112.01 (?[X451]: 111.30/112.01 (X449( 111.30/112.01 X451) & 111.30/112.01 in( 111.30/112.01 X451,X448))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X452, 111.30/112.01 X453:( 111.30/112.01 $i > $o), 111.30/112.01 X454]: 111.30/112.01 (in( 111.30/112.01 X454,X452) => 111.30/112.01 (X453( 111.30/112.01 X454) => 111.30/112.01 (( 111.30/112.01 ![X455]: 111.30/112.01 (in( 111.30/112.01 X455,X452) => 111.30/112.01 (X453( 111.30/112.01 X455) => 111.30/112.01 (X455 = 111.30/112.01 X454)))) => 111.30/112.01 (?[X456]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 X452, 111.30/112.01 '#ll_0'( 111.30/112.01 X453)) = 111.30/112.01 setadjoin( 111.30/112.01 X456, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X456, 111.30/112.01 dsetconstr( 111.30/112.01 X452, 111.30/112.01 '#ll_0'( 111.30/112.01 X453))))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X457, 111.30/112.01 X458:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X459]: 111.30/112.01 (in( 111.30/112.01 X459,X457) => 111.30/112.01 (![X460]: 111.30/112.01 (in( 111.30/112.01 X460,X457) => 111.30/112.01 (X458( 111.30/112.01 X459) => 111.30/112.01 (X458( 111.30/112.01 X460) => 111.30/112.01 (X459 = 111.30/112.01 X460))))))) => 111.30/112.01 (( 111.30/112.01 ?[X461]: 111.30/112.01 (X458( 111.30/112.01 X461) & 111.30/112.01 in( 111.30/112.01 X461,X457))) => 111.30/112.01 (?[X462]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 X457, 111.30/112.01 '#ll_0'( 111.30/112.01 X458)) = 111.30/112.01 setadjoin( 111.30/112.01 X462, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X462, 111.30/112.01 dsetconstr( 111.30/112.01 X457, 111.30/112.01 '#ll_0'( 111.30/112.01 X458)))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X463, 111.30/112.01 X464]: 111.30/112.01 (( 111.30/112.01 setadjoin( 111.30/112.01 X463, 111.30/112.01 emptyset) = 111.30/112.01 setadjoin( 111.30/112.01 X464, 111.30/112.01 emptyset)) => 111.30/112.01 (X463 = 111.30/112.01 X464))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X465, 111.30/112.01 X466,X467]: 111.30/112.01 (in( 111.30/112.01 setadjoin( 111.30/112.01 X467, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X465, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X465, 111.30/112.01 setadjoin( 111.30/112.01 X466, 111.30/112.01 emptyset)), 111.30/112.01 emptyset))) => 111.30/112.01 (X465 = 111.30/112.01 X467))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X468]: 111.30/112.01 (iskpair( 111.30/112.01 X468) => 111.30/112.01 (?[X469]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 setunion( 111.30/112.01 X468), 111.30/112.01 '#ll_5'( 111.30/112.01 X468)) = 111.30/112.01 setadjoin( 111.30/112.01 X469, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X469, 111.30/112.01 dsetconstr( 111.30/112.01 setunion( 111.30/112.01 X468), 111.30/112.01 '#ll_5'( 111.30/112.01 X468))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X470]: 111.30/112.01 (( 111.30/112.01 ?[X471]: 111.30/112.01 (( 111.30/112.01 X470 = 111.30/112.01 setadjoin( 111.30/112.01 X471, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X471,X470))) => 111.30/112.01 in( 111.30/112.01 setunion( 111.30/112.01 X470), 111.30/112.01 X470))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X472, 111.30/112.01 X473]: 111.30/112.01 (kfst( 111.30/112.01 kpair( 111.30/112.01 X472,X473)) = 111.30/112.01 X472)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X474, 111.30/112.01 X475,X476]: 111.30/112.01 (in( 111.30/112.01 X476, 111.30/112.01 cartprod( 111.30/112.01 X474,X475)) => 111.30/112.01 in( 111.30/112.01 kfst( 111.30/112.01 X476), 111.30/112.01 X474))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X477, 111.30/112.01 X478, 111.30/112.01 X479,X480]: 111.30/112.01 (( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X477, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X477, 111.30/112.01 setadjoin( 111.30/112.01 X478, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)) = 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X479, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X479, 111.30/112.01 setadjoin( 111.30/112.01 X480, 111.30/112.01 emptyset)), 111.30/112.01 emptyset))) => 111.30/112.01 (X477 = 111.30/112.01 X479))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X481, 111.30/112.01 X482, 111.30/112.01 X483,X484]: 111.30/112.01 (( 111.30/112.01 kpair( 111.30/112.01 X481,X482) = 111.30/112.01 kpair( 111.30/112.01 X483,X484)) => 111.30/112.01 (X481 = 111.30/112.01 X483))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X485, 111.30/112.01 X486]: 111.30/112.01 (( 111.30/112.01 X485 = 111.30/112.01 X486) => 111.30/112.01 (setadjoin( 111.30/112.01 X485, 111.30/112.01 setadjoin( 111.30/112.01 X486, 111.30/112.01 emptyset)) = 111.30/112.01 setadjoin( 111.30/112.01 X485, 111.30/112.01 emptyset)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X487, 111.30/112.01 X488]: 111.30/112.01 (( 111.30/112.01 X487 = 111.30/112.01 X488) => 111.30/112.01 (setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X487, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X487, 111.30/112.01 setadjoin( 111.30/112.01 X488, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)) = 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X487, 111.30/112.01 emptyset), 111.30/112.01 emptyset)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X489, 111.30/112.01 X490, 111.30/112.01 X491,X492]: 111.30/112.01 (( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X489, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X489, 111.30/112.01 setadjoin( 111.30/112.01 X490, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)) = 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X491, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X491, 111.30/112.01 setadjoin( 111.30/112.01 X492, 111.30/112.01 emptyset)), 111.30/112.01 emptyset))) => 111.30/112.01 (( 111.30/112.01 X491 = 111.30/112.01 X492) => 111.30/112.01 (X490 = 111.30/112.01 X492)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X493, 111.30/112.01 X494,X495]: 111.30/112.01 (( 111.30/112.01 setadjoin( 111.30/112.01 X493, 111.30/112.01 setadjoin( 111.30/112.01 X494, 111.30/112.01 emptyset)) = 111.30/112.01 setadjoin( 111.30/112.01 X495, 111.30/112.01 emptyset)) => 111.30/112.01 (X493 = 111.30/112.01 X494))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X496, 111.30/112.01 X497, 111.30/112.01 X498,X499]: 111.30/112.01 (( 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X496, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X496, 111.30/112.01 setadjoin( 111.30/112.01 X497, 111.30/112.01 emptyset)), 111.30/112.01 emptyset)) = 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X498, 111.30/112.01 emptyset), 111.30/112.01 setadjoin( 111.30/112.01 setadjoin( 111.30/112.01 X498, 111.30/112.01 setadjoin( 111.30/112.01 X499, 111.30/112.01 emptyset)), 111.30/112.01 emptyset))) => 111.30/112.01 (X497 = 111.30/112.01 X499))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X500, 111.30/112.01 X501, 111.30/112.01 X502,X503]: 111.30/112.01 (( 111.30/112.01 kpair( 111.30/112.01 X500,X501) = 111.30/112.01 kpair( 111.30/112.01 X502,X503)) => 111.30/112.01 (X501 = 111.30/112.01 X503))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X504]: 111.30/112.01 (iskpair( 111.30/112.01 X504) => 111.30/112.01 (?[X505]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 setunion( 111.30/112.01 X504), 111.30/112.01 '#ll_4'( 111.30/112.01 X504)) = 111.30/112.01 setadjoin( 111.30/112.01 X505, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X505, 111.30/112.01 dsetconstr( 111.30/112.01 setunion( 111.30/112.01 X504), 111.30/112.01 '#ll_4'( 111.30/112.01 X504))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X506, 111.30/112.01 X507]: 111.30/112.01 (ksnd( 111.30/112.01 kpair( 111.30/112.01 X506,X507)) = 111.30/112.01 X507)) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X508]: 111.30/112.01 (iskpair( 111.30/112.01 X508) => 111.30/112.01 (kpair( 111.30/112.01 kfst( 111.30/112.01 X508), 111.30/112.01 ksnd( 111.30/112.01 X508)) = 111.30/112.01 X508))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X509, 111.30/112.01 X510,X511]: 111.30/112.01 (in( 111.30/112.01 X511, 111.30/112.01 cartprod( 111.30/112.01 X509,X510)) => 111.30/112.01 in( 111.30/112.01 ksnd( 111.30/112.01 X511), 111.30/112.01 X510))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X512, 111.30/112.01 X513, 111.30/112.01 X514,X515]: 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X514,X515), 111.30/112.01 cartprod( 111.30/112.01 X512,X513)) => 111.30/112.01 in( 111.30/112.01 X514,X512))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X516, 111.30/112.01 X517, 111.30/112.01 X518,X519]: 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X518,X519), 111.30/112.01 cartprod( 111.30/112.01 X516,X517)) => 111.30/112.01 in( 111.30/112.01 X519,X517))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X520, 111.30/112.01 X521,X522]: 111.30/112.01 (in( 111.30/112.01 X522,X520) => 111.30/112.01 (![X523]: 111.30/112.01 (in( 111.30/112.01 X523,X521) => 111.30/112.01 (kpair( 111.30/112.01 X522,X523) = 111.30/112.01 kpair( 111.30/112.01 X522,X523)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X524, 111.30/112.01 X525,X526]: 111.30/112.01 (in( 111.30/112.01 X526,X524) => 111.30/112.01 (![X527]: 111.30/112.01 (in( 111.30/112.01 X527,X525) => 111.30/112.01 (kfst( 111.30/112.01 kpair( 111.30/112.01 X526,X527)) = 111.30/112.01 X526))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X528, 111.30/112.01 X529,X530]: 111.30/112.01 (in( 111.30/112.01 X530,X528) => 111.30/112.01 (![X531]: 111.30/112.01 (in( 111.30/112.01 X531,X529) => 111.30/112.01 (ksnd( 111.30/112.01 kpair( 111.30/112.01 X530,X531)) = 111.30/112.01 X531))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X532, 111.30/112.01 X533,X534]: 111.30/112.01 (in( 111.30/112.01 X534, 111.30/112.01 cartprod( 111.30/112.01 X532,X533)) => 111.30/112.01 (kpair( 111.30/112.01 kfst( 111.30/112.01 X534), 111.30/112.01 ksnd( 111.30/112.01 X534)) = 111.30/112.01 X534))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X535, 111.30/112.01 X536, 111.30/112.01 X537:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o),X538]: 111.30/112.01 (in( 111.30/112.01 X538,X535) => 111.30/112.01 (![X539]: 111.30/112.01 (in( 111.30/112.01 X539,X536) => 111.30/112.01 (X537( 111.30/112.01 X538,X539) => 111.30/112.01 in( 111.30/112.01 kpair( 111.30/112.01 X538,X539), 111.30/112.01 dpsetconstr( 111.30/112.01 X535, 111.30/112.01 X536, 111.30/112.01 '#ll_3'( 111.30/112.01 X537)))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X540, 111.30/112.01 X541, 111.30/112.01 X542:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o)]: 111.30/112.01 subset( 111.30/112.01 dpsetconstr( 111.30/112.01 X540, 111.30/112.01 X541, 111.30/112.01 '#ll_3'( 111.30/112.01 X542)), 111.30/112.01 cartprod( 111.30/112.01 X540,X541))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X543, 111.30/112.01 X544, 111.30/112.01 X545:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o)]: 111.30/112.01 subset( 111.30/112.01 dpsetconstr( 111.30/112.01 X543, 111.30/112.01 X544, 111.30/112.01 '#ll_3'( 111.30/112.01 X545)), 111.30/112.01 cartprod( 111.30/112.01 X543,X544))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X546, 111.30/112.01 X547, 111.30/112.01 X548:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o),X549]: 111.30/112.01 (in( 111.30/112.01 X549,X546) => 111.30/112.01 (![X550]: 111.30/112.01 (in( 111.30/112.01 X550,X547) => 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X549,X550), 111.30/112.01 dpsetconstr( 111.30/112.01 X546, 111.30/112.01 X547, 111.30/112.01 '#ll_3'( 111.30/112.01 X548))) => 111.30/112.01 X548( 111.30/112.01 X549,X550)))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X551, 111.30/112.01 X552, 111.30/112.01 X553:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o),X554, 111.30/112.01 X555]: 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X554,X555), 111.30/112.01 dpsetconstr( 111.30/112.01 X551, 111.30/112.01 X552, 111.30/112.01 '#ll_3'( 111.30/112.01 X553))) => 111.30/112.01 in( 111.30/112.01 X554,X551))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X556, 111.30/112.01 X557, 111.30/112.01 X558:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o),X559, 111.30/112.01 X560]: 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X559,X560), 111.30/112.01 dpsetconstr( 111.30/112.01 X556, 111.30/112.01 X557, 111.30/112.01 '#ll_3'( 111.30/112.01 X558))) => 111.30/112.01 in( 111.30/112.01 X560,X557))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X561, 111.30/112.01 X562, 111.30/112.01 X563:( 111.30/112.01 ($i * $i) > 111.30/112.01 $o),X564, 111.30/112.01 X565]: 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X564,X565), 111.30/112.01 dpsetconstr( 111.30/112.01 X561, 111.30/112.01 X562, 111.30/112.01 '#ll_3'( 111.30/112.01 X563))) => 111.30/112.01 X563( 111.30/112.01 X564,X565))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X566, 111.30/112.01 X567,X568]: 111.30/112.01 (func( 111.30/112.01 X566, 111.30/112.01 X567,X568) => 111.30/112.01 (![X569]: 111.30/112.01 (in( 111.30/112.01 X569,X566) => 111.30/112.01 (?[X570]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 X567, 111.30/112.01 '#ll_2'( 111.30/112.01 X569,X568)) = 111.30/112.01 setadjoin( 111.30/112.01 X570, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X570, 111.30/112.01 dsetconstr( 111.30/112.01 X567, 111.30/112.01 '#ll_2'( 111.30/112.01 X569,X568))))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X571, 111.30/112.01 X572,X573]: 111.30/112.01 (func( 111.30/112.01 X571, 111.30/112.01 X572,X573) => 111.30/112.01 (![X574]: 111.30/112.01 (in( 111.30/112.01 X574,X571) => 111.30/112.01 in( 111.30/112.01 setunion( 111.30/112.01 dsetconstr( 111.30/112.01 X572, 111.30/112.01 '#ll_2'( 111.30/112.01 X574,X573))), 111.30/112.01 X572))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X575, 111.30/112.01 X576,X577]: 111.30/112.01 (func( 111.30/112.01 X575, 111.30/112.01 X576,X577) => 111.30/112.01 (![X578]: 111.30/112.01 (in( 111.30/112.01 X578,X575) => 111.30/112.01 in( 111.30/112.01 ap( 111.30/112.01 X575, 111.30/112.01 X576, 111.30/112.01 X577,X578), 111.30/112.01 X576))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X579, 111.30/112.01 X580,X581]: 111.30/112.01 (in( 111.30/112.01 X581, 111.30/112.01 funcSet( 111.30/112.01 X579,X580)) => 111.30/112.01 func( 111.30/112.01 X579, 111.30/112.01 X580,X581))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X582, 111.30/112.01 X583,X584]: 111.30/112.01 (in( 111.30/112.01 X584, 111.30/112.01 funcSet( 111.30/112.01 X582,X583)) => 111.30/112.01 (![X585]: 111.30/112.01 (in( 111.30/112.01 X585,X582) => 111.30/112.01 in( 111.30/112.01 ap( 111.30/112.01 X582, 111.30/112.01 X583, 111.30/112.01 X584,X585), 111.30/112.01 X583))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X586, 111.30/112.01 X587,X588]: 111.30/112.01 (func( 111.30/112.01 X586, 111.30/112.01 X587,X588) => 111.30/112.01 in( 111.30/112.01 X588, 111.30/112.01 funcSet( 111.30/112.01 X586,X587)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X589, 111.30/112.01 X590, 111.30/112.01 X591:( 111.30/112.01 $i > $i)]: 111.30/112.01 (( 111.30/112.01 ![X592]: 111.30/112.01 (in( 111.30/112.01 X592,X589) => 111.30/112.01 in( 111.30/112.01 X591( 111.30/112.01 X592), 111.30/112.01 X590))) => 111.30/112.01 func( 111.30/112.01 X589, 111.30/112.01 X590, 111.30/112.01 dpsetconstr( 111.30/112.01 X589, 111.30/112.01 X590, 111.30/112.01 '#ll_1'( 111.30/112.01 X591))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X593, 111.30/112.01 X594, 111.30/112.01 X595:( 111.30/112.01 $i > $i)]: 111.30/112.01 (( 111.30/112.01 ![X596]: 111.30/112.01 (in( 111.30/112.01 X596,X593) => 111.30/112.01 in( 111.30/112.01 X595( 111.30/112.01 X596), 111.30/112.01 X594))) => 111.30/112.01 func( 111.30/112.01 X593, 111.30/112.01 X594, 111.30/112.01 dpsetconstr( 111.30/112.01 X593, 111.30/112.01 X594, 111.30/112.01 '#ll_1'( 111.30/112.01 X595))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X597, 111.30/112.01 X598, 111.30/112.01 X599:( 111.30/112.01 $i > $i)]: 111.30/112.01 (( 111.30/112.01 ![X600]: 111.30/112.01 (in( 111.30/112.01 X600,X597) => 111.30/112.01 in( 111.30/112.01 X599( 111.30/112.01 X600), 111.30/112.01 X598))) => 111.30/112.01 in( 111.30/112.01 dpsetconstr( 111.30/112.01 X597, 111.30/112.01 X598, 111.30/112.01 '#ll_1'( 111.30/112.01 X599)), 111.30/112.01 funcSet( 111.30/112.01 X597,X598)))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X601, 111.30/112.01 X602,X603]: 111.30/112.01 (subset( 111.30/112.01 X603, 111.30/112.01 cartprod( 111.30/112.01 X601,X602)) => 111.30/112.01 (![X604:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X605]: 111.30/112.01 (in( 111.30/112.01 X605,X601) => 111.30/112.01 (![X606]: 111.30/112.01 (in( 111.30/112.01 X606,X602) => 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X605,X606), 111.30/112.01 X603) => 111.30/112.01 X604( 111.30/112.01 kpair( 111.30/112.01 X605,X606))))))) => 111.30/112.01 (![X607]: 111.30/112.01 (in( 111.30/112.01 X607,X603) => 111.30/112.01 X604( 111.30/112.01 X607))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X608, 111.30/112.01 X609,X610]: 111.30/112.01 (subset( 111.30/112.01 X610, 111.30/112.01 cartprod( 111.30/112.01 X608,X609)) => 111.30/112.01 (![X611:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ![X612]: 111.30/112.01 (in( 111.30/112.01 X612,X608) => 111.30/112.01 (![X613]: 111.30/112.01 (in( 111.30/112.01 X613,X609) => 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X612,X613), 111.30/112.01 X610) => 111.30/112.01 X611( 111.30/112.01 kpair( 111.30/112.01 X612,X613))))))) => 111.30/112.01 (![X614]: 111.30/112.01 (in( 111.30/112.01 X614,X610) => 111.30/112.01 X611( 111.30/112.01 X614))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X615, 111.30/112.01 X616:( 111.30/112.01 $i > $o)]: 111.30/112.01 (( 111.30/112.01 ?[X617]: 111.30/112.01 (( 111.30/112.01 dsetconstr( 111.30/112.01 X615, 111.30/112.01 '#ll_0'( 111.30/112.01 X616)) = 111.30/112.01 setadjoin( 111.30/112.01 X617, 111.30/112.01 emptyset)) & 111.30/112.01 in( 111.30/112.01 X617, 111.30/112.01 dsetconstr( 111.30/112.01 X615, 111.30/112.01 '#ll_0'( 111.30/112.01 X616))))) => 111.30/112.01 (![X618]: 111.30/112.01 (in( 111.30/112.01 X618,X615) => 111.30/112.01 (![X619]: 111.30/112.01 (in( 111.30/112.01 X619,X615) => 111.30/112.01 (X616( 111.30/112.01 X618) => 111.30/112.01 (X616( 111.30/112.01 X619) => 111.30/112.01 (X618 = 111.30/112.01 X619))))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X620, 111.30/112.01 X621,X622]: 111.30/112.01 (func( 111.30/112.01 X620, 111.30/112.01 X621,X622) => 111.30/112.01 (![X623]: 111.30/112.01 (in( 111.30/112.01 X623,X620) => 111.30/112.01 in( 111.30/112.01 kpair( 111.30/112.01 X623, 111.30/112.01 ap( 111.30/112.01 X620, 111.30/112.01 X621, 111.30/112.01 X622,X623)), 111.30/112.01 X622))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X624, 111.30/112.01 X625,X626]: 111.30/112.01 (in( 111.30/112.01 X626, 111.30/112.01 funcSet( 111.30/112.01 X624,X625)) => 111.30/112.01 (![X627]: 111.30/112.01 (in( 111.30/112.01 X627,X624) => 111.30/112.01 in( 111.30/112.01 kpair( 111.30/112.01 X627, 111.30/112.01 ap( 111.30/112.01 X624, 111.30/112.01 X625, 111.30/112.01 X626,X627)), 111.30/112.01 X626))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X628, 111.30/112.01 X629,X630]: 111.30/112.01 (func( 111.30/112.01 X628, 111.30/112.01 X629,X630) => 111.30/112.01 (![X631]: 111.30/112.01 (in( 111.30/112.01 X631,X628) => 111.30/112.01 (![X632]: 111.30/112.01 (in( 111.30/112.01 X632,X629) => 111.30/112.01 (in( 111.30/112.01 kpair( 111.30/112.01 X631,X632), 111.30/112.01 X630) => 111.30/112.01 (ap( 111.30/112.01 X628, 111.30/112.01 X629, 111.30/112.01 X630,X631) = 111.30/112.01 X632)))))))) => 111.30/112.01 ( 111.30/112.01 ( 111.30/112.01 ![X633, 111.30/112.01 X634,X635]: 111.30/112.01 (func( 111.30/112.01 X633, 111.30/112.01 X634,X635) => 111.30/112.01 (![X636]: 111.30/112.01 (func( 111.30/112.01 X633, 111.30/112.01 X634,X636) => 111.30/112.01 (( 111.30/112.01 ![X637]: 111.30/112.01 (in( 111.30/112.01 X637,X633) => 111.30/112.01 (ap( 111.30/112.02 X633, 111.30/112.02 X634, 111.30/112.02 X635,X637) = 111.30/112.02 ap( 111.30/112.02 X633, 111.30/112.02 X634, 111.30/112.02 X636,X637)))) => 111.30/112.02 (![X638]: 111.30/112.02 (in( 111.30/112.02 X638,X633) => 111.30/112.02 (![X639]: 111.30/112.02 (in( 111.30/112.02 X639,X634) => 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X638,X639), 111.30/112.02 X636) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X638,X639), 111.30/112.02 X635))))))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X640, 111.30/112.02 X641,X642]: 111.30/112.02 (in( 111.30/112.02 X642, 111.30/112.02 funcSet( 111.30/112.02 X640,X641)) => 111.30/112.02 (![X643]: 111.30/112.02 (in( 111.30/112.02 X643,X640) => 111.30/112.02 (![X644]: 111.30/112.02 (in( 111.30/112.02 X644,X641) => 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X643,X644), 111.30/112.02 X642) => 111.30/112.02 (ap( 111.30/112.02 X640, 111.30/112.02 X641, 111.30/112.02 X642,X643) = 111.30/112.02 X644)))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X645, 111.30/112.02 X646,X647]: 111.30/112.02 (subset( 111.30/112.02 X647, 111.30/112.02 cartprod( 111.30/112.02 X645,X646)) => 111.30/112.02 (![X648]: 111.30/112.02 (subset( 111.30/112.02 X648, 111.30/112.02 cartprod( 111.30/112.02 X645,X646)) => 111.30/112.02 (( 111.30/112.02 ![X649]: 111.30/112.02 (in( 111.30/112.02 X649,X645) => 111.30/112.02 (![X650]: 111.30/112.02 (in( 111.30/112.02 X650,X646) => 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X649,X650), 111.30/112.02 X647) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X649,X650), 111.30/112.02 X648)))))) => 111.30/112.02 subset( 111.30/112.02 X647,X648)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X651, 111.30/112.02 X652,X653]: 111.30/112.02 (subset( 111.30/112.02 X653, 111.30/112.02 cartprod( 111.30/112.02 X651,X652)) => 111.30/112.02 (![X654]: 111.30/112.02 (subset( 111.30/112.02 X654, 111.30/112.02 cartprod( 111.30/112.02 X651,X652)) => 111.30/112.02 (( 111.30/112.02 ![X655]: 111.30/112.02 (in( 111.30/112.02 X655,X651) => 111.30/112.02 (![X656]: 111.30/112.02 (in( 111.30/112.02 X656,X652) => 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X655,X656), 111.30/112.02 X653) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X655,X656), 111.30/112.02 X654)))))) => 111.30/112.02 (( 111.30/112.02 ![X657]: 111.30/112.02 (in( 111.30/112.02 X657,X651) => 111.30/112.02 (![X658]: 111.30/112.02 (in( 111.30/112.02 X658,X652) => 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X657,X658), 111.30/112.02 X654) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X657,X658), 111.30/112.02 X653)))))) => 111.30/112.02 (X653 = 111.30/112.02 X654))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X659, 111.30/112.02 X660,X661]: 111.30/112.02 (func( 111.30/112.02 X659, 111.30/112.02 X660,X661) => 111.30/112.02 (![X662]: 111.30/112.02 (func( 111.30/112.02 X659, 111.30/112.02 X660,X662) => 111.30/112.02 (( 111.30/112.02 ![X663]: 111.30/112.02 (in( 111.30/112.02 X663,X659) => 111.30/112.02 (ap( 111.30/112.02 X659, 111.30/112.02 X660, 111.30/112.02 X661,X663) = 111.30/112.02 ap( 111.30/112.02 X659, 111.30/112.02 X660, 111.30/112.02 X662,X663)))) => 111.30/112.02 (X661 = 111.30/112.02 X662)))))) => 111.30/112.02 ( 111.30/112.02 ![X664, 111.30/112.02 X665,X666]: 111.30/112.02 (in( 111.30/112.02 X666, 111.30/112.02 funcSet( 111.30/112.02 X664,X665)) => 111.30/112.02 (![X667]: 111.30/112.02 (in( 111.30/112.02 X667, 111.30/112.02 funcSet( 111.30/112.02 X664,X665)) => 111.30/112.02 (( 111.30/112.02 ![X668]: 111.30/112.02 (in( 111.30/112.02 X668,X664) => 111.30/112.02 (ap( 111.30/112.02 X664, 111.30/112.02 X665, 111.30/112.02 X666,X668) = 111.30/112.02 ap( 111.30/112.02 X664, 111.30/112.02 X665, 111.30/112.02 X667,X668)))) => 111.30/112.02 (X666 = 111.30/112.02 X667))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 111.30/112.02 tff(zf_stmt_14, negated_conjecture, 111.30/112.02 (~ 111.30/112.02 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 111.30/112.02 ((![X5]: (~in(X5,emptyset))) => 111.30/112.02 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 111.30/112.02 ((![X9,X10]: 111.30/112.02 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 111.30/112.02 ((![X12,X13]: 111.30/112.02 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 111.30/112.02 (in(emptyset,omega) => 111.30/112.02 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 111.30/112.02 ((![X16]: 111.30/112.02 (((![X17]: 111.30/112.02 ((in(X17,X16) & in(X17,omega)) => 111.30/112.02 in(setadjoin(X17,X17),X16))) & 111.30/112.02 in(emptyset,X16)) => 111.30/112.02 (![X18]: (in(X18,omega) => in(X18,X16))))) => 111.30/112.02 ((![X19:(($i * $i) > $o),X20]: 111.30/112.02 ((![X21]: 111.30/112.02 (in(X21,X20) => 111.30/112.02 (?[X22]: 111.30/112.02 ((![X23]: (X19(X21,X23) => (X22 = X23))) & 111.30/112.02 X19(X21,X22))))) => 111.30/112.02 (?[X24]: 111.30/112.02 (![X25]: 111.30/112.02 (in(X25,X24) <=> 111.30/112.02 (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 111.30/112.02 ((![X27]: 111.30/112.02 ((?[X28]: in(X28,X27)) => 111.30/112.02 (?[X29]: 111.30/112.02 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 111.30/112.02 ((![X31]: 111.30/112.02 (?[X32]: 111.30/112.02 ((![X33]: 111.30/112.02 (((?[X34]: in(X34,X33)) & 111.30/112.02 (![X35]: (in(X35,X33) => in(X35,X31)))) => 111.30/112.02 (?[X36,X37]: 111.30/112.02 ((![X38]: 111.30/112.02 (in(X38,X32) => 111.30/112.02 (in(X37,X38) | 111.30/112.02 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 111.30/112.02 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 111.30/112.02 in(X37,X33) & in(X36,X32))))) & 111.30/112.02 (![X41,X42]: 111.30/112.02 ((in(X42,X32) & in(X41,X32)) => 111.30/112.02 ((![X43]: (in(X43,X42) => in(X43,X41))) | 111.30/112.02 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 111.30/112.02 (![X45,X46]: 111.30/112.02 ((in(X46,X31) & in(X45,X31)) => 111.30/112.02 ((![X47]: 111.30/112.02 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 111.30/112.02 (X45 = X46)))) & 111.30/112.02 (![X48]: 111.30/112.02 (in(X48,X32) => 111.30/112.02 (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 111.30/112.02 ((![X50:($i > $o)]: 111.30/112.02 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 111.30/112.02 X50(descr('#ll_0'(X50))))) => 111.30/112.02 ((![X53,X54:($i > $o),X55]: 111.30/112.02 (in(X55,X53) => 111.30/112.02 (X54(X55) => in(X55,dsetconstr(X53,'#ll_0'(X54)))))) => 111.30/112.02 ((![X56,X57:($i > $o),X58]: 111.30/112.02 (in(X58,dsetconstr(X56,'#ll_0'(X57))) => in(X58,X56))) => 111.30/112.02 ((![X59,X60:($i > $o),X61]: 111.30/112.02 (in(X61,dsetconstr(X59,'#ll_0'(X60))) => X60(X61))) => 111.30/112.02 ((![X62:($i > $o)]: 111.30/112.02 ((?[X63]: 111.30/112.02 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 111.30/112.02 (?[X65]: 111.30/112.02 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 111.30/112.02 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 111.30/112.02 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 111.30/112.02 ((![X71]: (in(X71,emptyset) => $false)) => 111.30/112.02 ((![X72]: (~in(X72,emptyset))) => 111.30/112.02 ((![X73:($i > $o)]: 111.30/112.02 ((?[X74]: 111.30/112.02 ((![X75]: (X73(X75) => (X74 = X75))) & 111.30/112.02 X73(X74))) => 111.30/112.02 (?[X76]: X73(X76)))) => 111.30/112.02 ((![X77,X78]: 111.30/112.02 ((![X79]: (in(X79,X77) => in(X79,X78))) => 111.30/112.02 ((![X80]: (in(X80,X78) => in(X80,X77))) => 111.30/112.02 (X77 = X78)))) => 111.30/112.02 ((![X81]: 111.30/112.02 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 111.30/112.02 ((![X83]: 111.30/112.02 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 111.30/112.02 ((![X85,X86:($i > $o),X87]: 111.30/112.02 (in(X87,X85) => 111.30/112.02 (in(X87,dsetconstr(X85,'#ll_0'(X86))) <=> 111.30/112.02 X86(X87)))) => 111.30/112.02 ((![X88]: 111.30/112.02 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 111.30/112.02 ((![X90,X91:($i > $o),X92]: 111.30/112.02 (in(X92,X90) => 111.30/112.02 (X91(X92) => 111.30/112.02 (dsetconstr(X90,'#ll_0'(X91)) != emptyset)))) => 111.30/112.02 ((![X93]: 111.30/112.02 ((?[X94]: in(X94,X93)) => 111.30/112.02 (X93 != emptyset))) => 111.30/112.02 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 111.30/112.02 (in(emptyset,setadjoin(emptyset,emptyset)) => 111.30/112.02 ((![X97,X98,X99]: 111.30/112.02 (in(X99,X98) => 111.30/112.02 in(X99,setadjoin(X97,X98)))) => 111.30/112.02 ((![X100,X101,X102]: 111.30/112.02 (in(X102,setadjoin(X100,X101)) => 111.30/112.02 (![X103:$o]: 111.30/112.02 (((X102 = X100) => X103) => 111.30/112.02 ((in(X102,X101) => X103) => X103))))) => 111.30/112.02 ((![X104,X105,X106]: 111.30/112.02 (in(X106,setadjoin(X104,X105)) => 111.30/112.02 (in(X106,X105) | (X106 = X104)))) => 111.30/112.02 ((![X107]: 111.30/112.02 (dsetconstr(X107,'#ll_6') = X107)) => 111.30/112.02 ((![X108,X109]: 111.30/112.02 ((![X110]: 111.30/112.02 (in(X110,X109) => in(X110,X108))) => 111.30/112.02 in(X109,powerset(X108)))) => 111.30/112.02 ((![X111]: in(emptyset,powerset(X111))) => 111.30/112.02 ((![X112]: 111.30/112.02 in(emptyset,powerset(X112))) => 111.30/112.02 ((![X113,X114,X115]: 111.30/112.02 (in(X114,powerset(X113)) => 111.30/112.02 (in(X115,X114) => in(X115,X113)))) => 111.30/112.02 ((![X116,X117,X118]: 111.30/112.02 (in(X117,X118) => 111.30/112.02 (in(X118,X116) => 111.30/112.02 in(X117,setunion(X116))))) => 111.30/112.02 ((![X119,X120]: 111.30/112.02 (in(X120,setunion(X119)) => 111.30/112.02 (![X121:$o]: 111.30/112.02 ((![X122]: 111.30/112.02 (in(X120,X122) => 111.30/112.02 (in(X122,X119) => 111.30/112.02 X121))) => 111.30/112.02 X121)))) => 111.30/112.02 ((![X123,X124]: 111.30/112.02 (in(X124,X123) => 111.30/112.02 in(X124, 111.30/112.02 powerset(setunion(X123))))) => 111.30/112.02 ((![X125:($i > $o)]: 111.30/112.02 ((?[X126]: 111.30/112.02 ((![X127]: 111.30/112.02 (X125(X127) => 111.30/112.02 (X126 = X127))) & 111.30/112.02 X125(X126))) => 111.30/112.02 (?[X128]: 111.30/112.02 (![X129]: 111.30/112.02 (X125(X129) <=> 111.30/112.02 (X129 = X128)))))) => 111.30/112.02 ((![X130]: 111.30/112.02 ((X130 != emptyset) => 111.30/112.02 (?[X131]: in(X131,X130)))) => 111.30/112.02 ((![X132,X133]: 111.30/112.02 (in(X132, 111.30/112.02 setadjoin(X133, 111.30/112.02 emptyset)) => 111.30/112.02 (X132 = X133))) => 111.30/112.02 ((![X134,X135]: 111.30/112.02 ((X134 != X135) => 111.30/112.02 (~ 111.30/112.02 in(X135, 111.30/112.02 setadjoin(X134, 111.30/112.02 emptyset))))) => 111.30/112.02 ((![X136,X137]: 111.30/112.02 ((X136 = X137) => 111.30/112.02 in(X136, 111.30/112.02 setadjoin(X137, 111.30/112.02 emptyset)))) => 111.30/112.02 ((![X138,X139]: 111.30/112.02 (in(X138, 111.30/112.02 setadjoin(X139, 111.30/112.02 emptyset)) => 111.30/112.02 in(X139, 111.30/112.02 setadjoin(X138, 111.30/112.02 emptyset)))) => 111.30/112.02 ((![X140,X141,X142]: 111.30/112.02 (in(X142, 111.30/112.02 setadjoin( 111.30/112.02 X140, 111.30/112.02 setadjoin( 111.30/112.02 X141,emptyset))) => 111.30/112.02 ((X142 = X141) | 111.30/112.02 (X142 = X140)))) => 111.30/112.02 ((![X143,X144]: 111.30/112.02 in(X143, 111.30/112.02 setadjoin( 111.30/112.02 X143, 111.30/112.02 setadjoin( 111.30/112.02 X144,emptyset)))) => 111.30/112.02 ((![X145,X146]: 111.30/112.02 in(X146, 111.30/112.02 setadjoin( 111.30/112.02 X145, 111.30/112.02 setadjoin( 111.30/112.02 X146,emptyset)))) => 111.30/112.02 ((![X147,X148:($i > $o)]: 111.30/112.02 ((?[X149]: 111.30/112.02 (X148(X149) & 111.30/112.02 in(X149,X147))) => 111.30/112.02 ((dsetconstr( 111.30/112.02 X147, 111.30/112.02 '#ll_0'(X148)) = 111.30/112.02 emptyset) => 111.30/112.02 $false))) => 111.30/112.02 ((![X150:($i > $o), 111.30/112.02 X151]: 111.30/112.02 (in(X151,emptyset) => 111.30/112.02 X150(X151))) => 111.30/112.02 ((![X152, 111.30/112.02 X153:($i > $o)]: 111.30/112.02 ((~ 111.30/112.02 (![X154]: 111.30/112.02 (in( 111.30/112.02 X154,X152) => 111.30/112.02 X153(X154)))) => 111.30/112.02 (?[X155]: 111.30/112.02 ((~X153(X155)) & 111.30/112.02 in(X155,X152))))) => 111.30/112.02 ((![X156, 111.30/112.02 X157:($i > $o)]: 111.30/112.02 ((![X158]: 111.30/112.02 (in( 111.30/112.02 X158,X156) => 111.30/112.02 (~ 111.30/112.02 X157( 111.30/112.02 X158)))) => 111.30/112.02 (~ 111.30/112.02 (?[X159]: 111.30/112.02 (X157( 111.30/112.02 X159) & 111.30/112.02 in( 111.30/112.02 X159,X156)))))) => 111.30/112.02 ((![X160, 111.30/112.02 X161:($i > $o)]: 111.30/112.02 ((~ 111.30/112.02 (?[X162]: 111.30/112.02 ( 111.30/112.02 X161( 111.30/112.02 X162) & 111.30/112.02 in( 111.30/112.02 X162,X160)))) => 111.30/112.02 (![X163]: 111.30/112.02 (in( 111.30/112.02 X163,X160) => 111.30/112.02 (~ 111.30/112.02 X161( 111.30/112.02 X163)))))) => 111.30/112.02 ((![X164, 111.30/112.02 X165:( 111.30/112.02 $i > $o)]: 111.30/112.02 ((?[X166]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 X165( 111.30/112.02 X166)) & 111.30/112.02 in( 111.30/112.02 X166,X164))) => 111.30/112.02 (~ 111.30/112.02 (![X167]: 111.30/112.02 (in( 111.30/112.02 X167,X164) => 111.30/112.02 X165( 111.30/112.02 X167)))))) => 111.30/112.02 ((![X168:$o]: 111.30/112.02 (X168 => 111.30/112.02 in(emptyset, 111.30/112.02 prop2set( 111.30/112.02 X168)))) => 111.30/112.02 ((![X169:$o]: 111.30/112.02 (X169 => 111.30/112.02 set2prop( 111.30/112.02 prop2set( 111.30/112.02 X169)))) => 111.30/112.02 ((![X170, 111.30/112.02 X171:( 111.30/112.02 $i > $o)]: 111.30/112.02 ((~ 111.30/112.02 ( 111.30/112.02 ?[X172]: 111.30/112.02 (X171( 111.30/112.02 X172) & 111.30/112.02 in( 111.30/112.02 X172,X170)))) => 111.30/112.02 (![X173]: 111.30/112.02 (in( 111.30/112.02 X173,X170) => 111.30/112.02 (~ 111.30/112.02 X171( 111.30/112.02 X173)))))) => 111.30/112.02 ((![X174, 111.30/112.02 X175:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 ( 111.30/112.02 ![X176]: 111.30/112.02 (in( 111.30/112.02 X176,X174) => 111.30/112.02 X175( 111.30/112.02 X176)))) => 111.30/112.02 ( 111.30/112.02 ?[X177]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 X175( 111.30/112.02 X177)) & 111.30/112.02 in( 111.30/112.02 X177,X174))))) => 111.30/112.02 ((![X178:( 111.30/112.02 $i > $o)]: 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ?[X179]: 111.30/112.02 (( 111.30/112.02 ![X180]: 111.30/112.02 (X178( 111.30/112.02 X180) => 111.30/112.02 (X179 = 111.30/112.02 X180))) & 111.30/112.02 X178( 111.30/112.02 X179))) => 111.30/112.02 ( 111.30/112.02 ?[X181]: 111.30/112.02 (( 111.30/112.02 ![X182]: 111.30/112.02 (X178( 111.30/112.02 X182) => 111.30/112.02 (X181 = 111.30/112.02 X182))) & 111.30/112.02 X178( 111.30/112.02 X181))))) => 111.30/112.02 ((![X183:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ?[X184]: 111.30/112.02 X183( 111.30/112.02 X184)) => 111.30/112.02 (( 111.30/112.02 ![X185, 111.30/112.02 X186]: 111.30/112.02 (X183( 111.30/112.02 X185) => 111.30/112.02 (X183( 111.30/112.02 X186) => 111.30/112.02 (X185 = 111.30/112.02 X186)))) => 111.30/112.02 (?[X187]: 111.30/112.02 (( 111.30/112.02 ![X188]: 111.30/112.02 (X183( 111.30/112.02 X188) => 111.30/112.02 (X187 = 111.30/112.02 X188))) & 111.30/112.02 X183( 111.30/112.02 X187)))))) => 111.30/112.02 ((![X189:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ?[X190]: 111.30/112.02 (![X191]: 111.30/112.02 (X189( 111.30/112.02 X191) <=> 111.30/112.02 (X191 = 111.30/112.02 X190)))) => 111.30/112.02 (?[X192]: 111.30/112.02 (( 111.30/112.02 ![X193]: 111.30/112.02 (X189( 111.30/112.02 X193) => 111.30/112.02 (X192 = 111.30/112.02 X193))) & 111.30/112.02 X189( 111.30/112.02 X192))))) => 111.30/112.02 (( 111.30/112.02 ![X194, 111.30/112.02 X195]: 111.30/112.02 (( 111.30/112.02 X194 = 111.30/112.02 X195) => 111.30/112.02 (![X196, 111.30/112.02 X197]: 111.30/112.02 (( 111.30/112.02 X196 = 111.30/112.02 X197) => 111.30/112.02 (in( 111.30/112.02 X196,X194) => 111.30/112.02 in( 111.30/112.02 X197,X195)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X198, 111.30/112.02 X199]: 111.30/112.02 (( 111.30/112.02 X198 = 111.30/112.02 X199) => 111.30/112.02 (![X200, 111.30/112.02 X201]: 111.30/112.02 (( 111.30/112.02 X200 = 111.30/112.02 X201) => 111.30/112.02 (in( 111.30/112.02 X200,X198) <=> 111.30/112.02 in( 111.30/112.02 X201,X199)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X202:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ?[X203]: 111.30/112.02 (( 111.30/112.02 ![X204]: 111.30/112.02 (X202( 111.30/112.02 X204) => 111.30/112.02 (X203 = 111.30/112.02 X204))) & 111.30/112.02 X202( 111.30/112.02 X203))) => 111.30/112.02 (![X205, 111.30/112.02 X206]: 111.30/112.02 (X202( 111.30/112.02 X205) => 111.30/112.02 (X202( 111.30/112.02 X206) => 111.30/112.02 (X205 = 111.30/112.02 X206)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X207:( 111.30/112.02 $i > $o), 111.30/112.02 X208:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ![X209, 111.30/112.02 X210]: 111.30/112.02 (( 111.30/112.02 X209 = 111.30/112.02 X210) => 111.30/112.02 (X207( 111.30/112.02 X209) <=> 111.30/112.02 X208( 111.30/112.02 X210)))) => 111.30/112.02 (( 111.30/112.02 ?[X211]: 111.30/112.02 zip_tseitin5( 111.30/112.02 X211,X207)) <=> 111.30/112.02 (?[X213]: 111.30/112.02 zip_tseitin5( 111.30/112.02 X213,X208))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 emptyset = 111.30/112.02 emptyset) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X215, 111.30/112.02 X216]: 111.30/112.02 (( 111.30/112.02 X215 = 111.30/112.02 X216) => 111.30/112.02 (![X217, 111.30/112.02 X218]: 111.30/112.02 (( 111.30/112.02 X217 = 111.30/112.02 X218) => 111.30/112.02 (setadjoin( 111.30/112.02 X215,X217) = 111.30/112.02 setadjoin( 111.30/112.02 X216,X218)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X219, 111.30/112.02 X220]: 111.30/112.02 (( 111.30/112.02 X219 = 111.30/112.02 X220) => 111.30/112.02 (powerset( 111.30/112.02 X219) = 111.30/112.02 powerset( 111.30/112.02 X220)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X221, 111.30/112.02 X222]: 111.30/112.02 (( 111.30/112.02 X221 = 111.30/112.02 X222) => 111.30/112.02 (setunion( 111.30/112.02 X221) = 111.30/112.02 setunion( 111.30/112.02 X222)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 omega = 111.30/112.02 omega) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X223:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ?[X224]: 111.30/112.02 (( 111.30/112.02 ![X225]: 111.30/112.02 (X223( 111.30/112.02 X225) => 111.30/112.02 (X224 = 111.30/112.02 X225))) & 111.30/112.02 X223( 111.30/112.02 X224))) => 111.30/112.02 (![X226, 111.30/112.02 X227]: 111.30/112.02 (X223( 111.30/112.02 X226) => 111.30/112.02 (X223( 111.30/112.02 X227) => 111.30/112.02 (X226 = 111.30/112.02 X227)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X228:( 111.30/112.02 $i > $o), 111.30/112.02 X229:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ![X230, 111.30/112.02 X231]: 111.30/112.02 (( 111.30/112.02 X230 = 111.30/112.02 X231) => 111.30/112.02 (X228( 111.30/112.02 X230) <=> 111.30/112.02 X229( 111.30/112.02 X231)))) => 111.30/112.02 (( 111.30/112.02 ?[X232]: 111.30/112.02 (( 111.30/112.02 ![X233]: 111.30/112.02 (X228( 111.30/112.02 X233) => 111.30/112.02 (X232 = 111.30/112.02 X233))) & 111.30/112.02 X228( 111.30/112.02 X232))) => 111.30/112.02 (( 111.30/112.02 ?[X234]: 111.30/112.02 (( 111.30/112.02 ![X235]: 111.30/112.02 (X229( 111.30/112.02 X235) => 111.30/112.02 (X234 = 111.30/112.02 X235))) & 111.30/112.02 X229( 111.30/112.02 X234))) => 111.30/112.02 (descr( 111.30/112.02 '#ll_0'( 111.30/112.02 X228)) = 111.30/112.02 descr( 111.30/112.02 '#ll_0'( 111.30/112.02 X229))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X236, 111.30/112.02 X237]: 111.30/112.02 (( 111.30/112.02 X236 = 111.30/112.02 X237) => 111.30/112.02 (![X238:( 111.30/112.02 $i > $o), 111.30/112.02 X239:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ![X240]: 111.30/112.02 (in( 111.30/112.02 X240,X236) => 111.30/112.02 (![X241]: 111.30/112.02 (in( 111.30/112.02 X241,X237) => 111.30/112.02 (( 111.30/112.02 X240 = 111.30/112.02 X241) => 111.30/112.02 (X238( 111.30/112.02 X240) <=> 111.30/112.02 X239( 111.30/112.02 X241))))))) => 111.30/112.02 (dsetconstr( 111.30/112.02 X236, 111.30/112.02 '#ll_0'( 111.30/112.02 X238)) = 111.30/112.02 dsetconstr( 111.30/112.02 X237, 111.30/112.02 '#ll_0'( 111.30/112.02 X239))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X242, 111.30/112.02 X243]: 111.30/112.02 (( 111.30/112.02 ![X244]: 111.30/112.02 (in( 111.30/112.02 X244,X242) => 111.30/112.02 in( 111.30/112.02 X244,X243))) => 111.30/112.02 subset( 111.30/112.02 X242,X243))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X245, 111.30/112.02 X246]: 111.30/112.02 (( 111.30/112.02 X245 = 111.30/112.02 X246) => 111.30/112.02 subset( 111.30/112.02 X246,X245))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X247, 111.30/112.02 X248]: 111.30/112.02 (( 111.30/112.02 X247 = 111.30/112.02 X248) => 111.30/112.02 subset( 111.30/112.02 X247,X248))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X249, 111.30/112.02 X250]: 111.30/112.02 (( 111.30/112.02 ![X251]: 111.30/112.02 (in( 111.30/112.02 X251,X249) => 111.30/112.02 in( 111.30/112.02 X251,X250))) => 111.30/112.02 subset( 111.30/112.02 X249,X250))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X252]: 111.30/112.02 subset( 111.30/112.02 emptyset, 111.30/112.02 X252)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X253, 111.30/112.02 X254,X255]: 111.30/112.02 (subset( 111.30/112.02 X253,X254) => 111.30/112.02 (in( 111.30/112.02 X255,X253) => 111.30/112.02 in( 111.30/112.02 X255,X254)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X256, 111.30/112.02 X257,X258]: 111.30/112.02 (subset( 111.30/112.02 X256,X257) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X258,X257)) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X258,X256))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X259, 111.30/112.02 X260,X261]: 111.30/112.02 (in( 111.30/112.02 X261,X259) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X261,X260)) => 111.30/112.02 (~ 111.30/112.02 subset( 111.30/112.02 X259,X260))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X262, 111.30/112.02 X263]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 subset( 111.30/112.02 X262,X263)) => 111.30/112.02 (X262 != 111.30/112.02 X263))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X264, 111.30/112.02 X265,X266]: 111.30/112.02 (in( 111.30/112.02 X266,X264) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X266,X265)) => 111.30/112.02 (X264 != 111.30/112.02 X265)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X267]: 111.30/112.02 subset( 111.30/112.02 X267,X267)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X268, 111.30/112.02 X269,X270]: 111.30/112.02 (subset( 111.30/112.02 X268,X269) => 111.30/112.02 (subset( 111.30/112.02 X269,X270) => 111.30/112.02 subset( 111.30/112.02 X268,X270)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X271, 111.30/112.02 X272]: 111.30/112.02 subset( 111.30/112.02 X272, 111.30/112.02 setadjoin( 111.30/112.02 X271,X272))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X273, 111.30/112.02 X274,X275]: 111.30/112.02 (subset( 111.30/112.02 X273,X275) => 111.30/112.02 subset( 111.30/112.02 X273, 111.30/112.02 setadjoin( 111.30/112.02 X274,X275)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X276, 111.30/112.02 X277]: 111.30/112.02 (subset( 111.30/112.02 X276,X277) => 111.30/112.02 in( 111.30/112.02 X276, 111.30/112.02 powerset( 111.30/112.02 X277)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X278, 111.30/112.02 X279]: 111.30/112.02 (subset( 111.30/112.02 X278,X279) => 111.30/112.02 (subset( 111.30/112.02 X279,X278) => 111.30/112.02 (X278 = 111.30/112.02 X279)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X280]: 111.30/112.02 (subset( 111.30/112.02 X280, 111.30/112.02 emptyset) => 111.30/112.02 (X280 = 111.30/112.02 emptyset))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X281, 111.30/112.02 X282]: 111.30/112.02 (subset( 111.30/112.02 X282,X281) => 111.30/112.02 in( 111.30/112.02 X282, 111.30/112.02 powerset( 111.30/112.02 X281)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X283, 111.30/112.02 X284]: 111.30/112.02 (in( 111.30/112.02 X284, 111.30/112.02 powerset( 111.30/112.02 X283)) => 111.30/112.02 subset( 111.30/112.02 X284,X283))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X285]: 111.30/112.02 in( 111.30/112.02 X285, 111.30/112.02 powerset( 111.30/112.02 X285))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X286, 111.30/112.02 X287]: 111.30/112.02 (subset( 111.30/112.02 X286,X287) => 111.30/112.02 subset( 111.30/112.02 powerset( 111.30/112.02 X286), 111.30/112.02 powerset( 111.30/112.02 X287)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X288, 111.30/112.02 X289:( 111.30/112.02 $i > $o)]: 111.30/112.02 in( 111.30/112.02 dsetconstr( 111.30/112.02 X288, 111.30/112.02 '#ll_0'( 111.30/112.02 X289)), 111.30/112.02 powerset( 111.30/112.02 X288))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X290, 111.30/112.02 X291:( 111.30/112.02 $i > $o)]: 111.30/112.02 subset( 111.30/112.02 dsetconstr( 111.30/112.02 X290, 111.30/112.02 '#ll_0'( 111.30/112.02 X291)), 111.30/112.02 X290)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X292, 111.30/112.02 X293,X294]: 111.30/112.02 (in( 111.30/112.02 X294,X292) => 111.30/112.02 in( 111.30/112.02 X294, 111.30/112.02 binunion( 111.30/112.02 X292,X293)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X295, 111.30/112.02 X296]: 111.30/112.02 in( 111.30/112.02 X296, 111.30/112.02 setadjoin( 111.30/112.02 X295, 111.30/112.02 setadjoin( 111.30/112.02 X296, 111.30/112.02 emptyset)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X297, 111.30/112.02 X298,X299]: 111.30/112.02 (in( 111.30/112.02 X299,X298) => 111.30/112.02 in( 111.30/112.02 X299, 111.30/112.02 binunion( 111.30/112.02 X297,X298)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X300, 111.30/112.02 X301, 111.30/112.02 X302, 111.30/112.02 X303:$o]: 111.30/112.02 (in( 111.30/112.02 X302, 111.30/112.02 binunion( 111.30/112.02 X300,X301)) => 111.30/112.02 (( 111.30/112.02 in( 111.30/112.02 X302,X300) => 111.30/112.02 X303) => 111.30/112.02 (( 111.30/112.02 in( 111.30/112.02 X302,X301) => 111.30/112.02 X303) => 111.30/112.02 X303)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X304, 111.30/112.02 X305,X306]: 111.30/112.02 (in( 111.30/112.02 X306, 111.30/112.02 binunion( 111.30/112.02 X304,X305)) => 111.30/112.02 (in( 111.30/112.02 X306,X305) | 111.30/112.02 in( 111.30/112.02 X306,X304)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X307, 111.30/112.02 X308]: 111.30/112.02 subset( 111.30/112.02 X307, 111.30/112.02 binunion( 111.30/112.02 X307,X308))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X309, 111.30/112.02 X310]: 111.30/112.02 subset( 111.30/112.02 X310, 111.30/112.02 binunion( 111.30/112.02 X309,X310))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X311, 111.30/112.02 X312,X313]: 111.30/112.02 (in( 111.30/112.02 X313,X311) => 111.30/112.02 (in( 111.30/112.02 X313,X312) => 111.30/112.02 in( 111.30/112.02 X313, 111.30/112.02 binintersect( 111.30/112.02 X311,X312))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X314, 111.30/112.02 X315,X316]: 111.30/112.02 (subset( 111.30/112.02 X316,X314) => 111.30/112.02 (subset( 111.30/112.02 X316,X315) => 111.30/112.02 subset( 111.30/112.02 X316, 111.30/112.02 binintersect( 111.30/112.02 X314,X315))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X317, 111.30/112.02 X318,X319]: 111.30/112.02 (in( 111.30/112.02 X319, 111.30/112.02 binintersect( 111.30/112.02 X317,X318)) => 111.30/112.02 in( 111.30/112.02 X319,X317))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X320, 111.30/112.02 X321]: 111.30/112.02 subset( 111.30/112.02 binintersect( 111.30/112.02 X320,X321), 111.30/112.02 X320)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X322, 111.30/112.02 X323]: 111.30/112.02 (subset( 111.30/112.02 X322,X323) => 111.30/112.02 (binintersect( 111.30/112.02 X322,X323) = 111.30/112.02 X322))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X324, 111.30/112.02 X325]: 111.30/112.02 (( 111.30/112.02 binintersect( 111.30/112.02 X324,X325) = 111.30/112.02 X325) => 111.30/112.02 subset( 111.30/112.02 X325,X324))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X326, 111.30/112.02 X327,X328]: 111.30/112.02 (in( 111.30/112.02 X328, 111.30/112.02 binintersect( 111.30/112.02 X326,X327)) => 111.30/112.02 in( 111.30/112.02 X328,X327))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X329, 111.30/112.02 X330]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 ( 111.30/112.02 ?[X331]: 111.30/112.02 (in( 111.30/112.02 X331,X330) & 111.30/112.02 in( 111.30/112.02 X331,X329)))) => 111.30/112.02 (binintersect( 111.30/112.02 X329,X330) = 111.30/112.02 emptyset))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X332, 111.30/112.02 X333]: 111.30/112.02 subset( 111.30/112.02 binintersect( 111.30/112.02 X332,X333), 111.30/112.02 X333)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X334, 111.30/112.02 X335]: 111.30/112.02 (subset( 111.30/112.02 X335,X334) => 111.30/112.02 (binintersect( 111.30/112.02 X334,X335) = 111.30/112.02 X335))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X336, 111.30/112.02 X337]: 111.30/112.02 (( 111.30/112.02 binintersect( 111.30/112.02 X336,X337) = 111.30/112.02 X336) => 111.30/112.02 subset( 111.30/112.02 X336,X337))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X338, 111.30/112.02 X339,X340]: 111.30/112.02 (binintersect( 111.30/112.02 X338, 111.30/112.02 binunion( 111.30/112.02 X339,X340)) = 111.30/112.02 binunion( 111.30/112.02 binintersect( 111.30/112.02 X338,X339), 111.30/112.02 binintersect( 111.30/112.02 X338,X340)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X341, 111.30/112.02 X342,X343]: 111.30/112.02 (in( 111.30/112.02 X343,X341) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X343,X342)) => 111.30/112.02 in( 111.30/112.02 X343, 111.30/112.02 setminus( 111.30/112.02 X341,X342))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X344, 111.30/112.02 X345,X346]: 111.30/112.02 (in( 111.30/112.02 X346, 111.30/112.02 setminus( 111.30/112.02 X344,X345)) => 111.30/112.02 in( 111.30/112.02 X346,X344))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X347, 111.30/112.02 X348,X349]: 111.30/112.02 (in( 111.30/112.02 X349, 111.30/112.02 setminus( 111.30/112.02 X347,X348)) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X349,X348)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X350, 111.30/112.02 X351]: 111.30/112.02 (subset( 111.30/112.02 X350,X351) => 111.30/112.02 (setminus( 111.30/112.02 X350,X351) = 111.30/112.02 emptyset))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X352, 111.30/112.02 X353,X354]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X354, 111.30/112.02 setminus( 111.30/112.02 X352,X353))) => 111.30/112.02 (in( 111.30/112.02 X354,X352) => 111.30/112.02 in( 111.30/112.02 X354,X353)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X355, 111.30/112.02 X356,X357]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X357, 111.30/112.02 setminus( 111.30/112.02 X355,X356))) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X357,X356)) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X357,X355))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X358, 111.30/112.02 X359,X360]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X360,X358)) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X360, 111.30/112.02 setminus( 111.30/112.02 X358,X359))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X361, 111.30/112.02 X362,X363]: 111.30/112.02 (in( 111.30/112.02 X363,X362) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X363, 111.30/112.02 setminus( 111.30/112.02 X361,X362))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X364, 111.30/112.02 X365]: 111.30/112.02 subset( 111.30/112.02 setminus( 111.30/112.02 X364,X365), 111.30/112.02 X364)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X366, 111.30/112.02 X367]: 111.30/112.02 (( 111.30/112.02 setminus( 111.30/112.02 X366,X367) = 111.30/112.02 emptyset) => 111.30/112.02 subset( 111.30/112.02 X366,X367))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X368, 111.30/112.02 X369,X370]: 111.30/112.02 (in( 111.30/112.02 X370, 111.30/112.02 symdiff( 111.30/112.02 X368,X369)) => 111.30/112.02 (![X371:$o]: 111.30/112.02 (( 111.30/112.02 in( 111.30/112.02 X370,X368) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X370,X369)) => 111.30/112.02 X371)) => 111.30/112.02 (( 111.30/112.02 ( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X370,X368)) => 111.30/112.02 ( 111.30/112.02 in( 111.30/112.02 X370,X369) => 111.30/112.02 X371)) => 111.30/112.02 X371))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X372, 111.30/112.02 X373,X374]: 111.30/112.02 (in( 111.30/112.02 X374,X372) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X374,X373)) => 111.30/112.02 in( 111.30/112.02 X374, 111.30/112.02 symdiff( 111.30/112.02 X372,X373))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X375, 111.30/112.02 X376,X377]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X377,X375)) => 111.30/112.02 (in( 111.30/112.02 X377,X376) => 111.30/112.02 in( 111.30/112.02 X377, 111.30/112.02 symdiff( 111.30/112.02 X375,X376))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X378, 111.30/112.02 X379,X380]: 111.30/112.02 (in( 111.30/112.02 X380,X378) => 111.30/112.02 (in( 111.30/112.02 X380,X379) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X380, 111.30/112.02 symdiff( 111.30/112.02 X378,X379)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X381, 111.30/112.02 X382,X383]: 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X383,X381)) => 111.30/112.02 (( 111.30/112.02 ~ 111.30/112.02 in( 111.30/112.02 X383,X382)) => 111.30/112.02 (~ 111.30/112.02 in( 111.30/112.02 X383, 111.30/112.02 symdiff( 111.30/112.02 X381,X382)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X384, 111.30/112.02 X385]: 111.30/112.02 in( 111.30/112.02 X385, 111.30/112.02 setadjoin( 111.30/112.02 X384, 111.30/112.02 setadjoin( 111.30/112.02 X385, 111.30/112.02 emptyset)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X386, 111.30/112.02 X387]: 111.30/112.02 in( 111.30/112.02 X386, 111.30/112.02 setunion( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X386, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X386, 111.30/112.02 setadjoin( 111.30/112.02 X387, 111.30/112.02 emptyset)), 111.30/112.02 emptyset))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X388, 111.30/112.02 X389]: 111.30/112.02 in( 111.30/112.02 X389, 111.30/112.02 setunion( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X388, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X388, 111.30/112.02 setadjoin( 111.30/112.02 X389, 111.30/112.02 emptyset)), 111.30/112.02 emptyset))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X390, 111.30/112.02 X391]: 111.30/112.02 iskpair( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X390, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X390, 111.30/112.02 setadjoin( 111.30/112.02 X391, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X392, 111.30/112.02 X393]: 111.30/112.02 iskpair( 111.30/112.02 kpair( 111.30/112.02 X392,X393))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X394, 111.30/112.02 X395]: 111.30/112.02 (in( 111.30/112.02 X395,X394) => 111.30/112.02 subset( 111.30/112.02 setadjoin( 111.30/112.02 X395, 111.30/112.02 emptyset), 111.30/112.02 X394))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X396, 111.30/112.02 X397]: 111.30/112.02 (in( 111.30/112.02 X397,X396) => 111.30/112.02 in( 111.30/112.02 setadjoin( 111.30/112.02 X397, 111.30/112.02 emptyset), 111.30/112.02 powerset( 111.30/112.02 X396)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X398, 111.30/112.02 X399,X400]: 111.30/112.02 (in( 111.30/112.02 X400,X398) => 111.30/112.02 in( 111.30/112.02 setadjoin( 111.30/112.02 X400, 111.30/112.02 emptyset), 111.30/112.02 powerset( 111.30/112.02 binunion( 111.30/112.02 X398,X399))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X401, 111.30/112.02 X402,X403]: 111.30/112.02 (in( 111.30/112.02 X403, 111.30/112.02 setadjoin( 111.30/112.02 X401, 111.30/112.02 setadjoin( 111.30/112.02 X402, 111.30/112.02 emptyset))) => 111.30/112.02 (( 111.30/112.02 X403 = 111.30/112.02 X402) | 111.30/112.02 (X403 = 111.30/112.02 X401)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X404, 111.30/112.02 X405,X406]: 111.30/112.02 (in( 111.30/112.02 X406,X404) => 111.30/112.02 (![X407]: 111.30/112.02 (in( 111.30/112.02 X407,X405) => 111.30/112.02 subset( 111.30/112.02 setadjoin( 111.30/112.02 X406, 111.30/112.02 setadjoin( 111.30/112.02 X407, 111.30/112.02 emptyset)), 111.30/112.02 binunion( 111.30/112.02 X404,X405)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X408, 111.30/112.02 X409,X410]: 111.30/112.02 (in( 111.30/112.02 X410,X408) => 111.30/112.02 (![X411]: 111.30/112.02 (in( 111.30/112.02 X411,X409) => 111.30/112.02 in( 111.30/112.02 setadjoin( 111.30/112.02 X410, 111.30/112.02 setadjoin( 111.30/112.02 X411, 111.30/112.02 emptyset)), 111.30/112.02 powerset( 111.30/112.02 binunion( 111.30/112.02 X408,X409))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X412, 111.30/112.02 X413,X414]: 111.30/112.02 (in( 111.30/112.02 X414,X412) => 111.30/112.02 (![X415]: 111.30/112.02 (in( 111.30/112.02 X415,X413) => 111.30/112.02 subset( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X414, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X414, 111.30/112.02 setadjoin( 111.30/112.02 X415, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)), 111.30/112.02 powerset( 111.30/112.02 binunion( 111.30/112.02 X412,X413))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X416, 111.30/112.02 X417,X418]: 111.30/112.02 (in( 111.30/112.02 X418,X416) => 111.30/112.02 (![X419]: 111.30/112.02 (in( 111.30/112.02 X419,X417) => 111.30/112.02 in( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X418, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X418, 111.30/112.02 setadjoin( 111.30/112.02 X419, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)), 111.30/112.02 powerset( 111.30/112.02 powerset( 111.30/112.02 binunion( 111.30/112.02 X416,X417)))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X420, 111.30/112.02 X421,X422]: 111.30/112.02 (in( 111.30/112.02 X422,X420) => 111.30/112.02 (![X423]: 111.30/112.02 (in( 111.30/112.02 X423,X421) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X422,X423), 111.30/112.02 powerset( 111.30/112.02 powerset( 111.30/112.02 binunion( 111.30/112.02 X420,X421)))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X424, 111.30/112.02 X425,X426]: 111.30/112.02 (in( 111.30/112.02 X426,X424) => 111.30/112.02 (![X427]: 111.30/112.02 (in( 111.30/112.02 X427,X425) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X426,X427), 111.30/112.02 cartprod( 111.30/112.02 X424,X425)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X428, 111.30/112.02 X429,X430]: 111.30/112.02 (in( 111.30/112.02 X430, 111.30/112.02 cartprod( 111.30/112.02 X428,X429)) => 111.30/112.02 (?[X431]: 111.30/112.02 (( 111.30/112.02 ?[X432]: 111.30/112.02 (( 111.30/112.02 X430 = 111.30/112.02 kpair( 111.30/112.02 X431,X432)) & 111.30/112.02 in( 111.30/112.02 X432,X429))) & 111.30/112.02 in( 111.30/112.02 X431,X428))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X433, 111.30/112.02 X434,X435]: 111.30/112.02 (in( 111.30/112.02 X435, 111.30/112.02 cartprod( 111.30/112.02 X433,X434)) => 111.30/112.02 iskpair( 111.30/112.02 X435))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X436, 111.30/112.02 X437]: 111.30/112.02 (in( 111.30/112.02 X437, 111.30/112.02 setunion( 111.30/112.02 X436)) => 111.30/112.02 (?[X438]: 111.30/112.02 (in( 111.30/112.02 X437,X438) & 111.30/112.02 in( 111.30/112.02 X438,X436))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X439]: 111.30/112.02 subset( 111.30/112.02 setunion( 111.30/112.02 setadjoin( 111.30/112.02 X439, 111.30/112.02 emptyset)), 111.30/112.02 X439)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X440]: 111.30/112.02 subset( 111.30/112.02 X440, 111.30/112.02 setunion( 111.30/112.02 setadjoin( 111.30/112.02 X440, 111.30/112.02 emptyset)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X441]: 111.30/112.02 (setunion( 111.30/112.02 setadjoin( 111.30/112.02 X441, 111.30/112.02 emptyset)) = 111.30/112.02 X441)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X442, 111.30/112.02 X443:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ![X444]: 111.30/112.02 (in( 111.30/112.02 X444,X442) => 111.30/112.02 (![X445]: 111.30/112.02 (in( 111.30/112.02 X445,X442) => 111.30/112.02 (X443( 111.30/112.02 X444) => 111.30/112.02 (X443( 111.30/112.02 X445) => 111.30/112.02 (X444 = 111.30/112.02 X445))))))) => 111.30/112.02 (( 111.30/112.02 ?[X446]: 111.30/112.02 (X443( 111.30/112.02 X446) & 111.30/112.02 in( 111.30/112.02 X446,X442))) => 111.30/112.02 (?[X447]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 X442, 111.30/112.02 '#ll_0'( 111.30/112.02 X443)) = 111.30/112.02 setadjoin( 111.30/112.02 X447, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X447, 111.30/112.02 dsetconstr( 111.30/112.02 X442, 111.30/112.02 '#ll_0'( 111.30/112.02 X443)))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X448, 111.30/112.02 X449:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ?[X450]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 X448, 111.30/112.02 '#ll_0'( 111.30/112.02 X449)) = 111.30/112.02 setadjoin( 111.30/112.02 X450, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X450, 111.30/112.02 dsetconstr( 111.30/112.02 X448, 111.30/112.02 '#ll_0'( 111.30/112.02 X449))))) => 111.30/112.02 (?[X451]: 111.30/112.02 (X449( 111.30/112.02 X451) & 111.30/112.02 in( 111.30/112.02 X451,X448))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X452, 111.30/112.02 X453:( 111.30/112.02 $i > $o), 111.30/112.02 X454]: 111.30/112.02 (in( 111.30/112.02 X454,X452) => 111.30/112.02 (X453( 111.30/112.02 X454) => 111.30/112.02 (( 111.30/112.02 ![X455]: 111.30/112.02 (in( 111.30/112.02 X455,X452) => 111.30/112.02 (X453( 111.30/112.02 X455) => 111.30/112.02 (X455 = 111.30/112.02 X454)))) => 111.30/112.02 (?[X456]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 X452, 111.30/112.02 '#ll_0'( 111.30/112.02 X453)) = 111.30/112.02 setadjoin( 111.30/112.02 X456, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X456, 111.30/112.02 dsetconstr( 111.30/112.02 X452, 111.30/112.02 '#ll_0'( 111.30/112.02 X453))))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X457, 111.30/112.02 X458:( 111.30/112.02 $i > $o)]: 111.30/112.02 (( 111.30/112.02 ![X459]: 111.30/112.02 (in( 111.30/112.02 X459,X457) => 111.30/112.02 (![X460]: 111.30/112.02 (in( 111.30/112.02 X460,X457) => 111.30/112.02 (X458( 111.30/112.02 X459) => 111.30/112.02 (X458( 111.30/112.02 X460) => 111.30/112.02 (X459 = 111.30/112.02 X460))))))) => 111.30/112.02 (( 111.30/112.02 ?[X461]: 111.30/112.02 (X458( 111.30/112.02 X461) & 111.30/112.02 in( 111.30/112.02 X461,X457))) => 111.30/112.02 (?[X462]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 X457, 111.30/112.02 '#ll_0'( 111.30/112.02 X458)) = 111.30/112.02 setadjoin( 111.30/112.02 X462, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X462, 111.30/112.02 dsetconstr( 111.30/112.02 X457, 111.30/112.02 '#ll_0'( 111.30/112.02 X458)))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X463, 111.30/112.02 X464]: 111.30/112.02 (( 111.30/112.02 setadjoin( 111.30/112.02 X463, 111.30/112.02 emptyset) = 111.30/112.02 setadjoin( 111.30/112.02 X464, 111.30/112.02 emptyset)) => 111.30/112.02 (X463 = 111.30/112.02 X464))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X465, 111.30/112.02 X466,X467]: 111.30/112.02 (in( 111.30/112.02 setadjoin( 111.30/112.02 X467, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X465, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X465, 111.30/112.02 setadjoin( 111.30/112.02 X466, 111.30/112.02 emptyset)), 111.30/112.02 emptyset))) => 111.30/112.02 (X465 = 111.30/112.02 X467))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X468]: 111.30/112.02 (iskpair( 111.30/112.02 X468) => 111.30/112.02 (?[X469]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 setunion( 111.30/112.02 X468), 111.30/112.02 '#ll_5'( 111.30/112.02 X468)) = 111.30/112.02 setadjoin( 111.30/112.02 X469, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X469, 111.30/112.02 dsetconstr( 111.30/112.02 setunion( 111.30/112.02 X468), 111.30/112.02 '#ll_5'( 111.30/112.02 X468))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X470]: 111.30/112.02 (( 111.30/112.02 ?[X471]: 111.30/112.02 (( 111.30/112.02 X470 = 111.30/112.02 setadjoin( 111.30/112.02 X471, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X471,X470))) => 111.30/112.02 in( 111.30/112.02 setunion( 111.30/112.02 X470), 111.30/112.02 X470))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X472, 111.30/112.02 X473]: 111.30/112.02 (kfst( 111.30/112.02 kpair( 111.30/112.02 X472,X473)) = 111.30/112.02 X472)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X474, 111.30/112.02 X475,X476]: 111.30/112.02 (in( 111.30/112.02 X476, 111.30/112.02 cartprod( 111.30/112.02 X474,X475)) => 111.30/112.02 in( 111.30/112.02 kfst( 111.30/112.02 X476), 111.30/112.02 X474))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X477, 111.30/112.02 X478, 111.30/112.02 X479,X480]: 111.30/112.02 (( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X477, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X477, 111.30/112.02 setadjoin( 111.30/112.02 X478, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)) = 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X479, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X479, 111.30/112.02 setadjoin( 111.30/112.02 X480, 111.30/112.02 emptyset)), 111.30/112.02 emptyset))) => 111.30/112.02 (X477 = 111.30/112.02 X479))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X481, 111.30/112.02 X482, 111.30/112.02 X483,X484]: 111.30/112.02 (( 111.30/112.02 kpair( 111.30/112.02 X481,X482) = 111.30/112.02 kpair( 111.30/112.02 X483,X484)) => 111.30/112.02 (X481 = 111.30/112.02 X483))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X485, 111.30/112.02 X486]: 111.30/112.02 (( 111.30/112.02 X485 = 111.30/112.02 X486) => 111.30/112.02 (setadjoin( 111.30/112.02 X485, 111.30/112.02 setadjoin( 111.30/112.02 X486, 111.30/112.02 emptyset)) = 111.30/112.02 setadjoin( 111.30/112.02 X485, 111.30/112.02 emptyset)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X487, 111.30/112.02 X488]: 111.30/112.02 (( 111.30/112.02 X487 = 111.30/112.02 X488) => 111.30/112.02 (setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X487, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X487, 111.30/112.02 setadjoin( 111.30/112.02 X488, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)) = 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X487, 111.30/112.02 emptyset), 111.30/112.02 emptyset)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X489, 111.30/112.02 X490, 111.30/112.02 X491,X492]: 111.30/112.02 (( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X489, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X489, 111.30/112.02 setadjoin( 111.30/112.02 X490, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)) = 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X491, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X491, 111.30/112.02 setadjoin( 111.30/112.02 X492, 111.30/112.02 emptyset)), 111.30/112.02 emptyset))) => 111.30/112.02 (( 111.30/112.02 X491 = 111.30/112.02 X492) => 111.30/112.02 (X490 = 111.30/112.02 X492)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X493, 111.30/112.02 X494,X495]: 111.30/112.02 (( 111.30/112.02 setadjoin( 111.30/112.02 X493, 111.30/112.02 setadjoin( 111.30/112.02 X494, 111.30/112.02 emptyset)) = 111.30/112.02 setadjoin( 111.30/112.02 X495, 111.30/112.02 emptyset)) => 111.30/112.02 (X493 = 111.30/112.02 X494))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X496, 111.30/112.02 X497, 111.30/112.02 X498,X499]: 111.30/112.02 (( 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X496, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X496, 111.30/112.02 setadjoin( 111.30/112.02 X497, 111.30/112.02 emptyset)), 111.30/112.02 emptyset)) = 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X498, 111.30/112.02 emptyset), 111.30/112.02 setadjoin( 111.30/112.02 setadjoin( 111.30/112.02 X498, 111.30/112.02 setadjoin( 111.30/112.02 X499, 111.30/112.02 emptyset)), 111.30/112.02 emptyset))) => 111.30/112.02 (X497 = 111.30/112.02 X499))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X500, 111.30/112.02 X501, 111.30/112.02 X502,X503]: 111.30/112.02 (( 111.30/112.02 kpair( 111.30/112.02 X500,X501) = 111.30/112.02 kpair( 111.30/112.02 X502,X503)) => 111.30/112.02 (X501 = 111.30/112.02 X503))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X504]: 111.30/112.02 (iskpair( 111.30/112.02 X504) => 111.30/112.02 (?[X505]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 setunion( 111.30/112.02 X504), 111.30/112.02 '#ll_4'( 111.30/112.02 X504)) = 111.30/112.02 setadjoin( 111.30/112.02 X505, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X505, 111.30/112.02 dsetconstr( 111.30/112.02 setunion( 111.30/112.02 X504), 111.30/112.02 '#ll_4'( 111.30/112.02 X504))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X506, 111.30/112.02 X507]: 111.30/112.02 (ksnd( 111.30/112.02 kpair( 111.30/112.02 X506,X507)) = 111.30/112.02 X507)) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X508]: 111.30/112.02 (iskpair( 111.30/112.02 X508) => 111.30/112.02 (kpair( 111.30/112.02 kfst( 111.30/112.02 X508), 111.30/112.02 ksnd( 111.30/112.02 X508)) = 111.30/112.02 X508))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X509, 111.30/112.02 X510,X511]: 111.30/112.02 (in( 111.30/112.02 X511, 111.30/112.02 cartprod( 111.30/112.02 X509,X510)) => 111.30/112.02 in( 111.30/112.02 ksnd( 111.30/112.02 X511), 111.30/112.02 X510))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X512, 111.30/112.02 X513, 111.30/112.02 X514,X515]: 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X514,X515), 111.30/112.02 cartprod( 111.30/112.02 X512,X513)) => 111.30/112.02 in( 111.30/112.02 X514,X512))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X516, 111.30/112.02 X517, 111.30/112.02 X518,X519]: 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X518,X519), 111.30/112.02 cartprod( 111.30/112.02 X516,X517)) => 111.30/112.02 in( 111.30/112.02 X519,X517))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X520, 111.30/112.02 X521,X522]: 111.30/112.02 (in( 111.30/112.02 X522,X520) => 111.30/112.02 (![X523]: 111.30/112.02 (in( 111.30/112.02 X523,X521) => 111.30/112.02 (kpair( 111.30/112.02 X522,X523) = 111.30/112.02 kpair( 111.30/112.02 X522,X523)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X524, 111.30/112.02 X525,X526]: 111.30/112.02 (in( 111.30/112.02 X526,X524) => 111.30/112.02 (![X527]: 111.30/112.02 (in( 111.30/112.02 X527,X525) => 111.30/112.02 (kfst( 111.30/112.02 kpair( 111.30/112.02 X526,X527)) = 111.30/112.02 X526))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X528, 111.30/112.02 X529,X530]: 111.30/112.02 (in( 111.30/112.02 X530,X528) => 111.30/112.02 (![X531]: 111.30/112.02 (in( 111.30/112.02 X531,X529) => 111.30/112.02 (ksnd( 111.30/112.02 kpair( 111.30/112.02 X530,X531)) = 111.30/112.02 X531))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X532, 111.30/112.02 X533,X534]: 111.30/112.02 (in( 111.30/112.02 X534, 111.30/112.02 cartprod( 111.30/112.02 X532,X533)) => 111.30/112.02 (kpair( 111.30/112.02 kfst( 111.30/112.02 X534), 111.30/112.02 ksnd( 111.30/112.02 X534)) = 111.30/112.02 X534))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X535, 111.30/112.02 X536, 111.30/112.02 X537:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o),X538]: 111.30/112.02 (in( 111.30/112.02 X538,X535) => 111.30/112.02 (![X539]: 111.30/112.02 (in( 111.30/112.02 X539,X536) => 111.30/112.02 (X537( 111.30/112.02 X538,X539) => 111.30/112.02 in( 111.30/112.02 kpair( 111.30/112.02 X538,X539), 111.30/112.02 dpsetconstr( 111.30/112.02 X535, 111.30/112.02 X536, 111.30/112.02 '#ll_3'( 111.30/112.02 X537)))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X540, 111.30/112.02 X541, 111.30/112.02 X542:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o)]: 111.30/112.02 subset( 111.30/112.02 dpsetconstr( 111.30/112.02 X540, 111.30/112.02 X541, 111.30/112.02 '#ll_3'( 111.30/112.02 X542)), 111.30/112.02 cartprod( 111.30/112.02 X540,X541))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X543, 111.30/112.02 X544, 111.30/112.02 X545:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o)]: 111.30/112.02 subset( 111.30/112.02 dpsetconstr( 111.30/112.02 X543, 111.30/112.02 X544, 111.30/112.02 '#ll_3'( 111.30/112.02 X545)), 111.30/112.02 cartprod( 111.30/112.02 X543,X544))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X546, 111.30/112.02 X547, 111.30/112.02 X548:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o),X549]: 111.30/112.02 (in( 111.30/112.02 X549,X546) => 111.30/112.02 (![X550]: 111.30/112.02 (in( 111.30/112.02 X550,X547) => 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X549,X550), 111.30/112.02 dpsetconstr( 111.30/112.02 X546, 111.30/112.02 X547, 111.30/112.02 '#ll_3'( 111.30/112.02 X548))) => 111.30/112.02 X548( 111.30/112.02 X549,X550)))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X551, 111.30/112.02 X552, 111.30/112.02 X553:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o),X554, 111.30/112.02 X555]: 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X554,X555), 111.30/112.02 dpsetconstr( 111.30/112.02 X551, 111.30/112.02 X552, 111.30/112.02 '#ll_3'( 111.30/112.02 X553))) => 111.30/112.02 in( 111.30/112.02 X554,X551))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X556, 111.30/112.02 X557, 111.30/112.02 X558:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o),X559, 111.30/112.02 X560]: 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X559,X560), 111.30/112.02 dpsetconstr( 111.30/112.02 X556, 111.30/112.02 X557, 111.30/112.02 '#ll_3'( 111.30/112.02 X558))) => 111.30/112.02 in( 111.30/112.02 X560,X557))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X561, 111.30/112.02 X562, 111.30/112.02 X563:( 111.30/112.02 ($i * $i) > 111.30/112.02 $o),X564, 111.30/112.02 X565]: 111.30/112.02 (in( 111.30/112.02 kpair( 111.30/112.02 X564,X565), 111.30/112.02 dpsetconstr( 111.30/112.02 X561, 111.30/112.02 X562, 111.30/112.02 '#ll_3'( 111.30/112.02 X563))) => 111.30/112.02 X563( 111.30/112.02 X564,X565))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X566, 111.30/112.02 X567,X568]: 111.30/112.02 (func( 111.30/112.02 X566, 111.30/112.02 X567,X568) => 111.30/112.02 (![X569]: 111.30/112.02 (in( 111.30/112.02 X569,X566) => 111.30/112.02 (?[X570]: 111.30/112.02 (( 111.30/112.02 dsetconstr( 111.30/112.02 X567, 111.30/112.02 '#ll_2'( 111.30/112.02 X569,X568)) = 111.30/112.02 setadjoin( 111.30/112.02 X570, 111.30/112.02 emptyset)) & 111.30/112.02 in( 111.30/112.02 X570, 111.30/112.02 dsetconstr( 111.30/112.02 X567, 111.30/112.02 '#ll_2'( 111.30/112.02 X569,X568))))))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X571, 111.30/112.02 X572,X573]: 111.30/112.02 (func( 111.30/112.02 X571, 111.30/112.02 X572,X573) => 111.30/112.02 (![X574]: 111.30/112.02 (in( 111.30/112.02 X574,X571) => 111.30/112.02 in( 111.30/112.02 setunion( 111.30/112.02 dsetconstr( 111.30/112.02 X572, 111.30/112.02 '#ll_2'( 111.30/112.02 X574,X573))), 111.30/112.02 X572))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X575, 111.30/112.02 X576,X577]: 111.30/112.02 (func( 111.30/112.02 X575, 111.30/112.02 X576,X577) => 111.30/112.02 (![X578]: 111.30/112.02 (in( 111.30/112.02 X578,X575) => 111.30/112.02 in( 111.30/112.02 ap( 111.30/112.02 X575, 111.30/112.02 X576, 111.30/112.02 X577,X578), 111.30/112.02 X576))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X579, 111.30/112.02 X580,X581]: 111.30/112.02 (in( 111.30/112.02 X581, 111.30/112.02 funcSet( 111.30/112.02 X579,X580)) => 111.30/112.02 func( 111.30/112.02 X579, 111.30/112.02 X580,X581))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X582, 111.30/112.02 X583,X584]: 111.30/112.02 (in( 111.30/112.02 X584, 111.30/112.02 funcSet( 111.30/112.02 X582,X583)) => 111.30/112.02 (![X585]: 111.30/112.02 (in( 111.30/112.02 X585,X582) => 111.30/112.02 in( 111.30/112.02 ap( 111.30/112.02 X582, 111.30/112.02 X583, 111.30/112.02 X584,X585), 111.30/112.02 X583))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X586, 111.30/112.02 X587,X588]: 111.30/112.02 (func( 111.30/112.02 X586, 111.30/112.02 X587,X588) => 111.30/112.02 in( 111.30/112.02 X588, 111.30/112.02 funcSet( 111.30/112.02 X586,X587)))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X589, 111.30/112.02 X590, 111.30/112.02 X591:( 111.30/112.02 $i > $i)]: 111.30/112.02 (( 111.30/112.02 ![X592]: 111.30/112.02 (in( 111.30/112.02 X592,X589) => 111.30/112.02 in( 111.30/112.02 X591( 111.30/112.02 X592), 111.30/112.02 X590))) => 111.30/112.02 func( 111.30/112.02 X589, 111.30/112.02 X590, 111.30/112.02 dpsetconstr( 111.30/112.02 X589, 111.30/112.02 X590, 111.30/112.02 '#ll_1'( 111.30/112.02 X591))))) => 111.30/112.02 ( 111.30/112.02 ( 111.30/112.02 ![X593, 111.30/112.02 X594, 111.30/112.02 X595:( 111.30/112.02 $i > $i)]: 111.30/112.02 (( 111.30/112.02 ![X596]: 111.30/112.02 (in( 111.30/112.02 X596,X593) => 111.30/112.02 in( 111.30/112.02 X595( 111.30/112.02 X596), 111.30/112.02 X594))) => 111.30/112.02 func( 111.30/112.02 X593, 111.30/112.02 X594, 111.30/112.02 dpsetconstr( 111.30/112.02 X593, 111.30/112.02 X594, 111.30/112.02 '#ll_1'( 111.30/112.02 X595))))) => 111.30/112.02 ( 111.30/112.03 ( 111.30/112.03 ![X597, 111.30/112.03 X598, 111.30/112.03 X599:( 111.30/112.03 $i > $i)]: 111.30/112.03 (( 111.30/112.03 ![X600]: 111.30/112.03 (in( 111.30/112.03 X600,X597) => 111.30/112.03 in( 111.30/112.03 X599( 111.30/112.03 X600), 111.30/112.03 X598))) => 111.30/112.03 in( 111.30/112.03 dpsetconstr( 111.30/112.03 X597, 111.30/112.03 X598, 111.30/112.03 '#ll_1'( 111.30/112.03 X599)), 111.30/112.03 funcSet( 111.30/112.03 X597,X598)))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X601, 111.30/112.03 X602,X603]: 111.30/112.03 (subset( 111.30/112.03 X603, 111.30/112.03 cartprod( 111.30/112.03 X601,X602)) => 111.30/112.03 (![X604:( 111.30/112.03 $i > $o)]: 111.30/112.03 (( 111.30/112.03 ![X605]: 111.30/112.03 (in( 111.30/112.03 X605,X601) => 111.30/112.03 (![X606]: 111.30/112.03 (in( 111.30/112.03 X606,X602) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X605,X606), 111.30/112.03 X603) => 111.30/112.03 X604( 111.30/112.03 kpair( 111.30/112.03 X605,X606))))))) => 111.30/112.03 (![X607]: 111.30/112.03 (in( 111.30/112.03 X607,X603) => 111.30/112.03 X604( 111.30/112.03 X607))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X608, 111.30/112.03 X609,X610]: 111.30/112.03 (subset( 111.30/112.03 X610, 111.30/112.03 cartprod( 111.30/112.03 X608,X609)) => 111.30/112.03 (![X611:( 111.30/112.03 $i > $o)]: 111.30/112.03 (( 111.30/112.03 ![X612]: 111.30/112.03 (in( 111.30/112.03 X612,X608) => 111.30/112.03 (![X613]: 111.30/112.03 (in( 111.30/112.03 X613,X609) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X612,X613), 111.30/112.03 X610) => 111.30/112.03 X611( 111.30/112.03 kpair( 111.30/112.03 X612,X613))))))) => 111.30/112.03 (![X614]: 111.30/112.03 (in( 111.30/112.03 X614,X610) => 111.30/112.03 X611( 111.30/112.03 X614))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X615, 111.30/112.03 X616:( 111.30/112.03 $i > $o)]: 111.30/112.03 (( 111.30/112.03 ?[X617]: 111.30/112.03 (( 111.30/112.03 dsetconstr( 111.30/112.03 X615, 111.30/112.03 '#ll_0'( 111.30/112.03 X616)) = 111.30/112.03 setadjoin( 111.30/112.03 X617, 111.30/112.03 emptyset)) & 111.30/112.03 in( 111.30/112.03 X617, 111.30/112.03 dsetconstr( 111.30/112.03 X615, 111.30/112.03 '#ll_0'( 111.30/112.03 X616))))) => 111.30/112.03 (![X618]: 111.30/112.03 (in( 111.30/112.03 X618,X615) => 111.30/112.03 (![X619]: 111.30/112.03 (in( 111.30/112.03 X619,X615) => 111.30/112.03 (X616( 111.30/112.03 X618) => 111.30/112.03 (X616( 111.30/112.03 X619) => 111.30/112.03 (X618 = 111.30/112.03 X619))))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X620, 111.30/112.03 X621,X622]: 111.30/112.03 (func( 111.30/112.03 X620, 111.30/112.03 X621,X622) => 111.30/112.03 (![X623]: 111.30/112.03 (in( 111.30/112.03 X623,X620) => 111.30/112.03 in( 111.30/112.03 kpair( 111.30/112.03 X623, 111.30/112.03 ap( 111.30/112.03 X620, 111.30/112.03 X621, 111.30/112.03 X622,X623)), 111.30/112.03 X622))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X624, 111.30/112.03 X625,X626]: 111.30/112.03 (in( 111.30/112.03 X626, 111.30/112.03 funcSet( 111.30/112.03 X624,X625)) => 111.30/112.03 (![X627]: 111.30/112.03 (in( 111.30/112.03 X627,X624) => 111.30/112.03 in( 111.30/112.03 kpair( 111.30/112.03 X627, 111.30/112.03 ap( 111.30/112.03 X624, 111.30/112.03 X625, 111.30/112.03 X626,X627)), 111.30/112.03 X626))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X628, 111.30/112.03 X629,X630]: 111.30/112.03 (func( 111.30/112.03 X628, 111.30/112.03 X629,X630) => 111.30/112.03 (![X631]: 111.30/112.03 (in( 111.30/112.03 X631,X628) => 111.30/112.03 (![X632]: 111.30/112.03 (in( 111.30/112.03 X632,X629) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X631,X632), 111.30/112.03 X630) => 111.30/112.03 (ap( 111.30/112.03 X628, 111.30/112.03 X629, 111.30/112.03 X630,X631) = 111.30/112.03 X632)))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X633, 111.30/112.03 X634,X635]: 111.30/112.03 (func( 111.30/112.03 X633, 111.30/112.03 X634,X635) => 111.30/112.03 (![X636]: 111.30/112.03 (func( 111.30/112.03 X633, 111.30/112.03 X634,X636) => 111.30/112.03 (( 111.30/112.03 ![X637]: 111.30/112.03 (in( 111.30/112.03 X637,X633) => 111.30/112.03 (ap( 111.30/112.03 X633, 111.30/112.03 X634, 111.30/112.03 X635,X637) = 111.30/112.03 ap( 111.30/112.03 X633, 111.30/112.03 X634, 111.30/112.03 X636,X637)))) => 111.30/112.03 (![X638]: 111.30/112.03 (in( 111.30/112.03 X638,X633) => 111.30/112.03 (![X639]: 111.30/112.03 (in( 111.30/112.03 X639,X634) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X638,X639), 111.30/112.03 X636) => 111.30/112.03 in( 111.30/112.03 kpair( 111.30/112.03 X638,X639), 111.30/112.03 X635))))))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X640, 111.30/112.03 X641,X642]: 111.30/112.03 (in( 111.30/112.03 X642, 111.30/112.03 funcSet( 111.30/112.03 X640,X641)) => 111.30/112.03 (![X643]: 111.30/112.03 (in( 111.30/112.03 X643,X640) => 111.30/112.03 (![X644]: 111.30/112.03 (in( 111.30/112.03 X644,X641) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X643,X644), 111.30/112.03 X642) => 111.30/112.03 (ap( 111.30/112.03 X640, 111.30/112.03 X641, 111.30/112.03 X642,X643) = 111.30/112.03 X644)))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X645, 111.30/112.03 X646,X647]: 111.30/112.03 (subset( 111.30/112.03 X647, 111.30/112.03 cartprod( 111.30/112.03 X645,X646)) => 111.30/112.03 (![X648]: 111.30/112.03 (subset( 111.30/112.03 X648, 111.30/112.03 cartprod( 111.30/112.03 X645,X646)) => 111.30/112.03 (( 111.30/112.03 ![X649]: 111.30/112.03 (in( 111.30/112.03 X649,X645) => 111.30/112.03 (![X650]: 111.30/112.03 (in( 111.30/112.03 X650,X646) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X649,X650), 111.30/112.03 X647) => 111.30/112.03 in( 111.30/112.03 kpair( 111.30/112.03 X649,X650), 111.30/112.03 X648)))))) => 111.30/112.03 subset( 111.30/112.03 X647,X648)))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X651, 111.30/112.03 X652,X653]: 111.30/112.03 (subset( 111.30/112.03 X653, 111.30/112.03 cartprod( 111.30/112.03 X651,X652)) => 111.30/112.03 (![X654]: 111.30/112.03 (subset( 111.30/112.03 X654, 111.30/112.03 cartprod( 111.30/112.03 X651,X652)) => 111.30/112.03 (( 111.30/112.03 ![X655]: 111.30/112.03 (in( 111.30/112.03 X655,X651) => 111.30/112.03 (![X656]: 111.30/112.03 (in( 111.30/112.03 X656,X652) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X655,X656), 111.30/112.03 X653) => 111.30/112.03 in( 111.30/112.03 kpair( 111.30/112.03 X655,X656), 111.30/112.03 X654)))))) => 111.30/112.03 (( 111.30/112.03 ![X657]: 111.30/112.03 (in( 111.30/112.03 X657,X651) => 111.30/112.03 (![X658]: 111.30/112.03 (in( 111.30/112.03 X658,X652) => 111.30/112.03 (in( 111.30/112.03 kpair( 111.30/112.03 X657,X658), 111.30/112.03 X654) => 111.30/112.03 in( 111.30/112.03 kpair( 111.30/112.03 X657,X658), 111.30/112.03 X653)))))) => 111.30/112.03 (X653 = 111.30/112.03 X654))))))) => 111.30/112.03 ( 111.30/112.03 ( 111.30/112.03 ![X659, 111.30/112.03 X660,X661]: 111.30/112.03 (func( 111.30/112.03 X659, 111.30/112.03 X660,X661) => 111.30/112.03 (![X662]: 111.30/112.03 (func( 111.30/112.03 X659, 111.30/112.03 X660,X662) => 111.30/112.03 (( 111.30/112.03 ![X663]: 111.30/112.03 (in( 111.30/112.03 X663,X659) => 111.30/112.03 (ap( 111.30/112.03 X659, 111.30/112.03 X660, 111.30/112.03 X661,X663) = 111.30/112.03 ap( 111.30/112.03 X659, 111.30/112.03 X660, 111.30/112.03 X662,X663)))) => 111.30/112.03 (X661 = 111.30/112.03 X662)))))) => 111.30/112.03 ( 111.30/112.03 ![X664, 111.30/112.03 X665,X666]: 111.30/112.03 (in( 111.30/112.03 X666, 111.30/112.03 funcSet( 111.30/112.03 X664,X665)) => 111.30/112.03 (![X667]: 111.30/112.03 (in( 111.30/112.03 X667, 111.30/112.03 funcSet( 111.30/112.03 X664,X665)) => 111.30/112.03 (( 111.30/112.03 ![X668]: 111.30/112.03 (in( 111.30/112.03 X668,X664) => 111.30/112.03 (ap( 111.30/112.03 X664, 111.30/112.03 X665, 111.30/112.03 X666,X668) = 111.30/112.03 ap( 111.30/112.03 X664, 111.30/112.03 X665, 111.30/112.03 X667,X668)))) => 111.30/112.03 (X666 = 111.30/112.03 X667)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 111.30/112.03 tff('214', plain, 111.30/112.03 ![X975, X976, X977, X978]: 111.30/112.03 (~ func(X975, X976, X977) 111.30/112.03 | X978 = X977 111.30/112.03 | in(sk_X663_(X977, X978, X976, X975), X975) 111.30/112.03 | ~ func(X975, X976, X978)), 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('215', plain, sk_X666_ != sk_X667_, 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('216', plain, in(sk_X666_, funcSet(sk_X664_, sk_X665_)), 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('217', plain, in(sk_X667_, funcSet(sk_X664_, sk_X665_)), 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('218', plain, 111.30/112.03 ![X974]: 111.30/112.03 (ap(sk_X664_, sk_X665_, sk_X666_, X974) 111.30/112.03 = ap(sk_X664_, sk_X665_, sk_X667_, X974) 111.30/112.03 | ~ in(X974, sk_X664_)), 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('219', plain, 111.30/112.03 ![X975, X976, X977, X978]: 111.30/112.03 (~ func(X975, X976, X977) 111.30/112.03 | X978 = X977 111.30/112.03 | ap(X975, X976, X978, sk_X663_(X977, X978, X976, X975)) 111.30/112.03 != ap(X975, X976, X977, sk_X663_(X977, X978, X976, X975)) 111.30/112.03 | ~ func(X975, X976, X978)), 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('220', plain, 111.30/112.03 ![X1009, X1010, X1011]: 111.30/112.03 (func(X1009, X1010, X1011) | ~ in(X1011, funcSet(X1009, X1010))), 111.30/112.03 inference('cnf', [status(esa)], [zf_stmt_14])). 111.30/112.03 tff('221', plain, $false, 111.30/112.03 inference('eprover', [status(thm)], 111.30/112.03 ['214', '215', '216', '217', '218', '219', '220'])). 111.30/112.03 111.30/112.03 % SZS output end Refutation 111.30/112.03 % Zipperpin 1.5 exiting 111.30/112.03 EOF