0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.15 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.3O0zwBKZNd 0.14/0.36 % Computer : n004.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % DateTime : Tue Jul 13 15:24:24 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.51/0.62 % Estimated wc time : 1286 0.51/0.62 % Estimated cpu time (7 cpus) : 183.71428571428572 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 70.83/10.83 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 106.31/16.00 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 106.31/16.12 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 146.13/21.89 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 146.48/21.99 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 181.05/26.94 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 186.93/27.88 % /export/starexec/sandbox/solver/bin/lams/b.rw.sh running for 26s 195.12/29.12 % /export/starexec/sandbox/solver/bin/lams/c_ic.sh running for 42s 226.21/33.58 % /export/starexec/sandbox/solver/bin/lams/s1.f.sh running for 15s 226.21/33.59 % Solved by lams/c_ic.sh. 226.21/33.59 % Running : timeout 32 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.3O0zwBKZNd/e_inputb86df1 --cpu-limit=30 --auto-schedule -s -p. 226.21/33.59 % done 2371 iterations in 4.324s 226.21/33.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 226.21/33.59 % SZS output start Refutation 226.21/33.59 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 226.21/33.59 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 226.21/33.59 tff('0', plain, 226.21/33.59 doubleComplementSub1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => subset(X6,setminus(X4,setminus(X4,X6))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 226.21/33.59 tff('1', plain, 226.21/33.59 doubleComplementE1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,X4) => (in(X8,setminus(X4,setminus(X4,X6))) => in(X8,X6)))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 226.21/33.59 tff('2', plain, 226.21/33.59 doubleComplementI1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,X4) => (in(X8,X6) => in(X8,setminus(X4,setminus(X4,X6)))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 226.21/33.59 tff('3', plain, 226.21/33.59 contrasubsetT3 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 (subset(setminus(X4,X8),setminus(X4,X6)) => subset(X6,X8)))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 226.21/33.59 tff('4', plain, 226.21/33.59 contrasubsetT2 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 (subset(X6,X8) => subset(setminus(X4,X8),setminus(X4,X6))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 226.21/33.59 tff('5', plain, 226.21/33.59 contrasubsetT1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 (![X10]: 226.21/33.59 (in(X10,X4) => 226.21/33.59 (subset(X6,X8) => ((~in(X10,X8)) => (~in(X10,X6)))))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(contrasubsetT, axiom, contrasubsetT <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 (![Xx]: 226.21/33.59 (in(Xx,A) => 226.21/33.59 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 226.21/33.59 tff('6', plain, 226.21/33.59 contrasubsetT = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 (![X10]: 226.21/33.59 (in(X10,X4) => 226.21/33.59 (subset(X6,setminus(X4,X8)) => (in(X10,X8) => (~in(X10,X6)))))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(complementTE1, axiom, complementTE1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 226.21/33.59 tff('7', plain, 226.21/33.59 complementTE1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: (in(X8,X4) => ((~in(X8,setminus(X4,X6))) => in(X8,X6)))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(complementTI1, axiom, complementTI1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 226.21/33.59 tff('8', plain, 226.21/33.59 complementTI1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: (in(X8,X4) => (in(X8,X6) => (~in(X8,setminus(X4,X6)))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetTE1, axiom, powersetTE1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 226.21/33.59 tff('9', plain, 226.21/33.59 powersetTE1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 (![X10]: 226.21/33.59 (in(X10,X4) => 226.21/33.59 (in(X6,powerset(X8)) => (in(X10,X6) => in(X10,X8))))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetTI1, axiom, powersetTI1 <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 226.21/33.59 tff('10', plain, 226.21/33.59 powersetTI1 = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 226.21/33.59 in(X6,powerset(X8))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetTI, axiom, subsetTI <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 226.21/33.59 tff('11', plain, 226.21/33.59 subsetTI = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 226.21/33.59 subset(X6,X8)))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setextT, axiom, setextT <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: 226.21/33.59 (in(Y,powerset(A)) => 226.21/33.59 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 226.21/33.59 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 226.21/33.59 tff('12', plain, 226.21/33.59 setextT = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: 226.21/33.59 (in(X8,powerset(X4)) => 226.21/33.59 ((![X10]: (in(X10,X4) => (in(X10,X6) => in(X10,X8)))) => 226.21/33.59 ((![X12]: (in(X12,X4) => (in(X12,X8) => in(X12,X6)))) => 226.21/33.59 (X6 = X8))))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(complementT_lem, axiom, complementT_lem <=> 226.21/33.59 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 226.21/33.59 tff('13', plain, 226.21/33.59 complementT_lem = 226.21/33.59 (![X4,X6]: (in(X6,powerset(X4)) => in(setminus(X4,X6),powerset(X4)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusT_lem, axiom, setminusT_lem <=> 226.21/33.59 (![A,X]: 226.21/33.59 (in(X,powerset(A)) => 226.21/33.59 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 226.21/33.59 tff('14', plain, 226.21/33.59 setminusT_lem = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => 226.21/33.59 (![X8]: (in(X8,powerset(X4)) => in(setminus(X6,X8),powerset(X4)))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetT_lem, axiom, powersetT_lem <=> 226.21/33.59 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 226.21/33.59 tff('15', plain, 226.21/33.59 powersetT_lem = 226.21/33.59 (![X4,X6]: 226.21/33.59 (in(X6,powerset(X4)) => in(powerset(X6),powerset(powerset(X4))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(singletoninpowerset, axiom, singletoninpowerset <=> 226.21/33.59 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 226.21/33.59 tff('16', plain, 226.21/33.59 singletoninpowerset = 226.21/33.59 (![X4,X6]: (in(X6,X4) => in(setadjoin(X6,emptyset),powerset(X4)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(singletonsubset, axiom, singletonsubset <=> 226.21/33.59 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 226.21/33.59 tff('17', plain, 226.21/33.59 singletonsubset = 226.21/33.59 (![X4,X6]: (in(X6,X4) => subset(setadjoin(X6,emptyset),X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusSubset1, axiom, setminusSubset1 <=> 226.21/33.59 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 226.21/33.59 tff('18', plain, 226.21/33.59 setminusSubset1 = 226.21/33.59 (![X4,X6]: ((setminus(X4,X6) = emptyset) => subset(X4,X6))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 226.21/33.59 tff('19', plain, setminusLsub = (![X4,X6]: subset(setminus(X4,X6),X4)), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusIRneg, axiom, setminusIRneg <=> 226.21/33.59 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 226.21/33.59 tff('20', plain, 226.21/33.59 setminusIRneg = (![X4,X6,X8]: (in(X8,X6) => (~in(X8,setminus(X4,X6))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusILneg, axiom, setminusILneg <=> 226.21/33.59 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 226.21/33.59 tff('21', plain, 226.21/33.59 setminusILneg = 226.21/33.59 (![X4,X6,X8]: ((~in(X8,X4)) => (~in(X8,setminus(X4,X6))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusELneg, axiom, setminusELneg <=> 226.21/33.59 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 226.21/33.59 tff('22', plain, 226.21/33.59 setminusELneg = 226.21/33.59 (![X4,X6,X8]: 226.21/33.59 ((~in(X8,setminus(X4,X6))) => ((~in(X8,X6)) => (~in(X8,X4))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusERneg, axiom, setminusERneg <=> 226.21/33.59 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 226.21/33.59 tff('23', plain, 226.21/33.59 setminusERneg = 226.21/33.59 (![X4,X6,X8]: ((~in(X8,setminus(X4,X6))) => (in(X8,X4) => in(X8,X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusSubset2, axiom, setminusSubset2 <=> 226.21/33.59 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 226.21/33.59 tff('24', plain, 226.21/33.59 setminusSubset2 = 226.21/33.59 (![X4,X6]: (subset(X4,X6) => (setminus(X4,X6) = emptyset))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusER, axiom, setminusER <=> 226.21/33.59 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 226.21/33.59 tff('25', plain, 226.21/33.59 setminusER = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => (~in(X8,X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusEL, axiom, setminusEL <=> 226.21/33.59 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 226.21/33.59 tff('26', plain, 226.21/33.59 setminusEL = (![X4,X6,X8]: (in(X8,setminus(X4,X6)) => in(X8,X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setminusI, axiom, setminusI <=> 226.21/33.59 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 226.21/33.59 tff('27', plain, 226.21/33.59 setminusI = 226.21/33.59 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => in(X8,setminus(X4,X6))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetsubset, axiom, powersetsubset <=> 226.21/33.59 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 226.21/33.59 tff('28', plain, 226.21/33.59 powersetsubset = 226.21/33.59 (![X4,X6]: (subset(X4,X6) => subset(powerset(X4),powerset(X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 226.21/33.59 tff('29', plain, inPowerset = (![X4]: in(X4,powerset(X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetE1, axiom, powersetE1 <=> 226.21/33.59 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 226.21/33.59 tff('30', plain, 226.21/33.59 powersetE1 = (![X4,X6]: (in(X6,powerset(X4)) => subset(X6,X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetI1, axiom, powersetI1 <=> 226.21/33.59 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 226.21/33.59 tff('31', plain, 226.21/33.59 powersetI1 = (![X4,X6]: (subset(X6,X4) => in(X6,powerset(X4)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 226.21/33.59 (![A]: (subset(A,emptyset) => (A = emptyset)))). 226.21/33.59 tff('32', plain, 226.21/33.59 subsetemptysetimpeq = (![X4]: (subset(X4,emptyset) => (X4 = emptyset))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setextsub, axiom, setextsub <=> 226.21/33.59 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 226.21/33.59 tff('33', plain, 226.21/33.59 setextsub = (![X4,X6]: (subset(X4,X6) => (subset(X6,X4) => (X4 = X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subset2powerset, axiom, subset2powerset <=> 226.21/33.59 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 226.21/33.59 tff('34', plain, 226.21/33.59 subset2powerset = (![X4,X6]: (subset(X4,X6) => in(X4,powerset(X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 226.21/33.59 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 226.21/33.59 tff('35', plain, 226.21/33.59 setadjoinSub2 = 226.21/33.59 (![X4,X6,X8]: (subset(X4,X8) => subset(X4,setadjoin(X6,X8)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(setadjoinSub, axiom, setadjoinSub <=> 226.21/33.59 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 226.21/33.59 tff('36', plain, setadjoinSub = (![X4,X6]: subset(X6,setadjoin(X4,X6))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetTrans, axiom, subsetTrans <=> 226.21/33.59 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 226.21/33.59 tff('37', plain, 226.21/33.59 subsetTrans = 226.21/33.59 (![X4,X6,X8]: (subset(X4,X6) => (subset(X6,X8) => subset(X4,X8)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 226.21/33.59 tff('38', plain, subsetRefl = (![X4]: subset(X4,X4)), define([status(thm)])). 226.21/33.59 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 226.21/33.59 tff('39', plain, notequalI1 = (![X4,X6]: ((~subset(X4,X6)) => (X4 != X6))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(notsubsetI, axiom, notsubsetI <=> 226.21/33.59 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 226.21/33.59 tff('40', plain, 226.21/33.59 notsubsetI = 226.21/33.59 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (~subset(X4,X6))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetE2, axiom, subsetE2 <=> 226.21/33.59 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 226.21/33.59 tff('41', plain, 226.21/33.59 subsetE2 = 226.21/33.59 (![X4,X6,X8]: (subset(X4,X6) => ((~in(X8,X6)) => (~in(X8,X4))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetE, axiom, subsetE <=> 226.21/33.59 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 226.21/33.59 tff('42', plain, 226.21/33.59 subsetE = (![X4,X6,X8]: (subset(X4,X6) => (in(X8,X4) => in(X8,X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 226.21/33.59 tff('43', plain, emptysetsubset = (![X4]: subset(emptyset,X4)), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetI2, axiom, subsetI2 <=> 226.21/33.59 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 226.21/33.59 tff('44', plain, 226.21/33.59 subsetI2 = 226.21/33.59 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 226.21/33.59 tff('45', plain, eqimpsubset1 = (![X4,X6]: ((X4 = X6) => subset(X4,X6))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 226.21/33.59 tff('46', plain, eqimpsubset2 = (![X4,X6]: ((X4 = X6) => subset(X6,X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(subsetI1, axiom, subsetI1 <=> 226.21/33.59 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 226.21/33.59 tff('47', plain, 226.21/33.59 subsetI1 = 226.21/33.59 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powerset__Cong, axiom, powerset__Cong <=> 226.21/33.59 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 226.21/33.59 tff('48', plain, 226.21/33.59 powerset__Cong = (![X4,X6]: ((X4 = X6) => (powerset(X4) = powerset(X6)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetE, axiom, powersetE <=> 226.21/33.59 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 226.21/33.59 tff('49', plain, 226.21/33.59 powersetE = 226.21/33.59 (![X4,X6,X8]: (in(X6,powerset(X4)) => (in(X8,X6) => in(X8,X4)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(emptyInPowerset, axiom, emptyInPowerset <=> 226.21/33.59 (![A]: in(emptyset,powerset(A)))). 226.21/33.59 tff('50', plain, emptyInPowerset = (![X4]: in(emptyset,powerset(X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(emptyinPowerset, axiom, emptyinPowerset <=> 226.21/33.59 (![A]: in(emptyset,powerset(A)))). 226.21/33.59 tff('51', plain, emptyinPowerset = (![X4]: in(emptyset,powerset(X4))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetI, axiom, powersetI <=> 226.21/33.59 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 226.21/33.59 tff('52', plain, 226.21/33.59 powersetI = 226.21/33.59 (![X4,X6]: ((![X8]: (in(X8,X6) => in(X8,X4))) => in(X6,powerset(X4)))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(powersetAx, axiom, powersetAx <=> 226.21/33.59 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 226.21/33.59 tff('53', plain, 226.21/33.59 powersetAx = 226.21/33.59 (![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: (in(X8,X6) => in(X8,X4))))), 226.21/33.59 define([status(thm)])). 226.21/33.59 tff(doubleComplementSub2, conjecture, 226.21/33.59 (setextAx => 226.21/33.59 (emptysetAx => 226.21/33.59 (setadjoinAx => 226.21/33.59 (powersetAx => 226.21/33.59 (setunionAx => 226.21/33.59 (omega0Ax => 226.21/33.59 (omegaSAx => 226.21/33.59 (omegaIndAx => 226.21/33.59 (replAx => 226.21/33.59 (foundationAx => 226.21/33.59 (wellorderingAx => 226.21/33.59 (descrp => 226.21/33.59 (dsetconstrI => 226.21/33.59 (dsetconstrEL => 226.21/33.59 (dsetconstrER => 226.21/33.59 (exuE1 => 226.21/33.59 (prop2setE => 226.21/33.59 (emptysetE => 226.21/33.59 (emptysetimpfalse => 226.21/33.59 (notinemptyset => 226.21/33.59 (exuE3e => 226.21/33.59 (setext => 226.21/33.59 (emptyI => 226.21/33.59 (noeltsimpempty => 226.21/33.59 (setbeta => 226.21/33.59 (nonemptyE1 => 226.21/33.59 (nonemptyI => 226.21/33.59 (nonemptyI1 => 226.21/33.59 (setadjoinIL => 226.21/33.59 (emptyinunitempty => 226.21/33.59 (setadjoinIR => 226.21/33.59 (setadjoinE => 226.21/33.59 (setadjoinOr => 226.21/33.59 (setoftrueEq => 226.21/33.59 (powersetI => 226.21/33.59 (emptyinPowerset => 226.21/33.59 (emptyInPowerset => 226.21/33.59 (powersetE => 226.21/33.59 (setunionI => 226.21/33.59 (setunionE => 226.21/33.59 (subPowSU => 226.21/33.59 (exuE2 => 226.21/33.59 (nonemptyImpWitness => 226.21/33.59 (uniqinunit => 226.21/33.59 (notinsingleton => 226.21/33.59 (eqinunit => 226.21/33.59 (singletonsswitch => 226.21/33.59 (upairsetE => 226.21/33.59 (upairsetIL => 226.21/33.59 (upairsetIR => 226.21/33.59 (emptyE1 => 226.21/33.59 (vacuousDall => 226.21/33.59 (quantDeMorgan1 => 226.21/33.59 (quantDeMorgan2 => 226.21/33.59 (quantDeMorgan3 => 226.21/33.59 (quantDeMorgan4 => 226.21/33.59 (prop2setI => 226.21/33.59 (prop2set2propI => 226.21/33.59 (notdexE => 226.21/33.59 (notdallE => 226.21/33.59 (exuI1 => 226.21/33.59 (exuI3 => 226.21/33.59 (exuI2 => 226.21/33.59 (inCongP => 226.21/33.59 (in__Cong => 226.21/33.59 (exuE3u => 226.21/33.59 ( 226.21/33.59 exu__Cong => 226.21/33.59 ( 226.21/33.59 emptyset__Cong => 226.21/33.59 ( 226.21/33.59 setadjoin__Cong => 226.21/33.59 ( 226.21/33.59 powerset__Cong => 226.21/33.59 ( 226.21/33.59 setunion__Cong => 226.21/33.59 ( 226.21/33.59 omega__Cong => 226.21/33.59 ( 226.21/33.59 exuEu => 226.21/33.59 ( 226.21/33.59 descr__Cong => 226.21/33.59 ( 226.21/33.59 dsetconstr__Cong => 226.21/33.59 ( 226.21/33.59 subsetI1 => 226.21/33.59 ( 226.21/33.59 eqimpsubset2 => 226.21/33.59 ( 226.21/33.59 eqimpsubset1 => 226.21/33.59 ( 226.21/33.59 subsetI2 => 226.21/33.59 ( 226.21/33.59 emptysetsubset => 226.21/33.59 ( 226.21/33.59 subsetE => 226.21/33.59 ( 226.21/33.59 subsetE2 => 226.21/33.59 ( 226.21/33.59 notsubsetI => 226.21/33.59 ( 226.21/33.59 notequalI1 => 226.21/33.59 ( 226.21/33.59 notequalI2 => 226.21/33.59 ( 226.21/33.59 subsetRefl => 226.21/33.59 ( 226.21/33.59 subsetTrans => 226.21/33.59 ( 226.21/33.59 setadjoinSub => 226.21/33.59 ( 226.21/33.59 setadjoinSub2 => 226.21/33.59 ( 226.21/33.59 subset2powerset => 226.21/33.59 ( 226.21/33.59 setextsub => 226.21/33.59 ( 226.21/33.59 subsetemptysetimpeq => 226.21/33.59 ( 226.21/33.59 powersetI1 => 226.21/33.59 ( 226.21/33.59 powersetE1 => 226.21/33.59 ( 226.21/33.59 inPowerset => 226.21/33.59 ( 226.21/33.59 powersetsubset => 226.21/33.59 ( 226.21/33.59 sepInPowerset => 226.21/33.59 ( 226.21/33.59 sepSubset => 226.21/33.59 ( 226.21/33.59 binunionIL => 226.21/33.59 ( 226.21/33.59 upairset2IR => 226.21/33.59 ( 226.21/33.59 binunionIR => 226.21/33.59 ( 226.21/33.59 binunionEcases => 226.21/33.59 ( 226.21/33.59 binunionE => 226.21/33.59 ( 226.21/33.59 binunionLsub => 226.21/33.59 ( 226.21/33.59 binunionRsub => 226.21/33.59 ( 226.21/33.59 binintersectI => 226.21/33.59 ( 226.21/33.59 binintersectSubset5 => 226.21/33.59 ( 226.21/33.59 binintersectEL => 226.21/33.59 ( 226.21/33.59 binintersectLsub => 226.21/33.59 ( 226.21/33.59 binintersectSubset2 => 226.21/33.59 ( 226.21/33.59 binintersectSubset3 => 226.21/33.59 ( 226.21/33.59 binintersectER => 226.21/33.59 ( 226.21/33.59 disjointsetsI1 => 226.21/33.59 ( 226.21/33.59 binintersectRsub => 226.21/33.59 ( 226.21/33.59 binintersectSubset4 => 226.21/33.59 ( 226.21/33.59 binintersectSubset1 => 226.21/33.59 ( 226.21/33.59 bs114d => 226.21/33.59 ( 226.21/33.59 setminusI => 226.21/33.59 ( 226.21/33.59 setminusEL => 226.21/33.59 ( 226.21/33.59 setminusER => 226.21/33.59 ( 226.21/33.59 setminusSubset2 => 226.21/33.59 ( 226.21/33.59 setminusERneg => 226.21/33.59 ( 226.21/33.59 setminusELneg => 226.21/33.59 ( 226.21/33.59 setminusILneg => 226.21/33.59 ( 226.21/33.59 setminusIRneg => 226.21/33.59 ( 226.21/33.59 setminusLsub => 226.21/33.59 ( 226.21/33.59 setminusSubset1 => 226.21/33.59 ( 226.21/33.59 symdiffE => 226.21/33.59 ( 226.21/33.59 symdiffI1 => 226.21/33.59 ( 226.21/33.59 symdiffI2 => 226.21/33.59 ( 226.21/33.59 symdiffIneg1 => 226.21/33.59 ( 226.21/33.59 symdiffIneg2 => 226.21/33.59 ( 226.21/33.59 secondinupair => 226.21/33.59 ( 226.21/33.59 setukpairIL => 226.21/33.59 ( 226.21/33.59 setukpairIR => 226.21/33.59 ( 226.21/33.59 kpairiskpair => 226.21/33.59 ( 226.21/33.59 kpairp => 226.21/33.59 ( 226.21/33.59 singletonsubset => 226.21/33.59 ( 226.21/33.59 singletoninpowerset => 226.21/33.59 ( 226.21/33.59 singletoninpowunion => 226.21/33.59 ( 226.21/33.59 upairset2E => 226.21/33.59 ( 226.21/33.59 upairsubunion => 226.21/33.59 ( 226.21/33.59 upairinpowunion => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem1 => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem2 => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem3 => 226.21/33.59 ( 226.21/33.59 cartprodpairin => 226.21/33.59 ( 226.21/33.59 cartprodmempair1 => 226.21/33.59 ( 226.21/33.59 cartprodmempair => 226.21/33.59 ( 226.21/33.59 setunionE2 => 226.21/33.59 ( 226.21/33.59 setunionsingleton1 => 226.21/33.59 ( 226.21/33.59 setunionsingleton2 => 226.21/33.59 ( 226.21/33.59 setunionsingleton => 226.21/33.59 ( 226.21/33.59 singletonprop => 226.21/33.59 ( 226.21/33.59 ex1E1 => 226.21/33.59 ( 226.21/33.59 ex1I => 226.21/33.59 ( 226.21/33.59 ex1I2 => 226.21/33.59 ( 226.21/33.59 singletonsuniq => 226.21/33.59 ( 226.21/33.59 setukpairinjL1 => 226.21/33.59 ( 226.21/33.59 kfstsingleton => 226.21/33.59 ( 226.21/33.59 theprop => 226.21/33.59 ( 226.21/33.59 kfstpairEq => 226.21/33.59 ( 226.21/33.59 cartprodfstin => 226.21/33.59 ( 226.21/33.59 setukpairinjL2 => 226.21/33.59 ( 226.21/33.59 setukpairinjL => 226.21/33.59 ( 226.21/33.59 setukpairinjR11 => 226.21/33.59 ( 226.21/33.59 setukpairinjR12 => 226.21/33.59 ( 226.21/33.59 setukpairinjR1 => 226.21/33.59 ( 226.21/33.59 upairequniteq => 226.21/33.59 ( 226.21/33.59 setukpairinjR2 => 226.21/33.59 ( 226.21/33.59 setukpairinjR => 226.21/33.59 ( 226.21/33.59 ksndsingleton => 226.21/33.59 ( 226.21/33.59 ksndpairEq => 226.21/33.59 ( 226.21/33.59 kpairsurjEq => 226.21/33.59 ( 226.21/33.59 cartprodsndin => 226.21/33.59 ( 226.21/33.59 cartprodpairmemEL => 226.21/33.59 ( 226.21/33.59 cartprodpairmemER => 226.21/33.59 ( 226.21/33.59 cartprodmempaircEq => 226.21/33.59 ( 226.21/33.59 cartprodfstpairEq => 226.21/33.59 ( 226.21/33.59 cartprodsndpairEq => 226.21/33.59 ( 226.21/33.59 cartprodpairsurjEq => 226.21/33.59 ( 226.21/33.59 dpsetconstrI => 226.21/33.59 ( 226.21/33.59 dpsetconstrSub => 226.21/33.59 ( 226.21/33.59 setOfPairsIsBReln => 226.21/33.59 ( 226.21/33.59 dpsetconstrERa => 226.21/33.59 ( 226.21/33.59 dpsetconstrEL1 => 226.21/33.59 ( 226.21/33.59 dpsetconstrEL2 => 226.21/33.59 ( 226.21/33.59 dpsetconstrER => 226.21/33.59 ( 226.21/33.59 funcImageSingleton => 226.21/33.59 ( 226.21/33.59 apProp => 226.21/33.59 ( 226.21/33.59 app => 226.21/33.59 ( 226.21/33.59 infuncsetfunc => 226.21/33.59 ( 226.21/33.59 ap2p => 226.21/33.59 ( 226.21/33.59 funcinfuncset => 226.21/33.59 ( 226.21/33.59 lamProp => 226.21/33.59 ( 226.21/33.59 lamp => 226.21/33.59 ( 226.21/33.59 lam2p => 226.21/33.59 ( 226.21/33.59 brelnall1 => 226.21/33.59 ( 226.21/33.59 brelnall2 => 226.21/33.59 ( 226.21/33.59 ex1E2 => 226.21/33.59 ( 226.21/33.59 funcGraphProp1 => 226.21/33.59 ( 226.21/33.59 funcGraphProp3 => 226.21/33.59 ( 226.21/33.59 funcGraphProp2 => 226.21/33.59 ( 226.21/33.59 funcextLem => 226.21/33.59 ( 226.21/33.59 funcGraphProp4 => 226.21/33.59 ( 226.21/33.59 subbreln => 226.21/33.59 ( 226.21/33.59 eqbreln => 226.21/33.59 ( 226.21/33.59 funcext => 226.21/33.59 ( 226.21/33.59 funcext2 => 226.21/33.59 ( 226.21/33.59 ap2apEq1 => 226.21/33.59 ( 226.21/33.59 ap2apEq2 => 226.21/33.59 ( 226.21/33.59 beta1 => 226.21/33.59 ( 226.21/33.59 eta1 => 226.21/33.59 ( 226.21/33.59 lam2lamEq => 226.21/33.59 ( 226.21/33.59 beta2 => 226.21/33.59 ( 226.21/33.59 eta2 => 226.21/33.59 ( 226.21/33.59 iffalseProp1 => 226.21/33.59 ( 226.21/33.59 iffalseProp2 => 226.21/33.59 ( 226.21/33.59 iftrueProp1 => 226.21/33.59 ( 226.21/33.59 iftrueProp2 => 226.21/33.59 ( 226.21/33.59 ifSingleton => 226.21/33.59 ( 226.21/33.59 ifp => 226.21/33.59 ( 226.21/33.59 theeq => 226.21/33.59 ( 226.21/33.59 iftrue => 226.21/33.59 ( 226.21/33.59 iffalse => 226.21/33.59 ( 226.21/33.59 iftrueorfalse => 226.21/33.59 ( 226.21/33.59 binintersectT_lem => 226.21/33.59 ( 226.21/33.59 binunionT_lem => 226.21/33.59 ( 226.21/33.59 powersetT_lem => 226.21/33.59 ( 226.21/33.59 setminusT_lem => 226.21/33.59 ( 226.21/33.59 complementT_lem => 226.21/33.59 ( 226.21/33.59 setextT => 226.21/33.59 ( 226.21/33.59 subsetTI => 226.21/33.59 ( 226.21/33.59 powersetTI1 => 226.21/33.59 ( 226.21/33.59 powersetTE1 => 226.21/33.59 ( 226.21/33.59 complementTI1 => 226.21/33.59 ( 226.21/33.59 complementTE1 => 226.21/33.59 ( 226.21/33.59 binintersectTELcontra => 226.21/33.59 ( 226.21/33.59 binintersectTERcontra => 226.21/33.59 ( 226.21/33.59 contrasubsetT => 226.21/33.59 ( 226.21/33.59 contrasubsetT1 => 226.21/33.59 ( 226.21/33.59 contrasubsetT2 => 226.21/33.59 ( 226.21/33.59 contrasubsetT3 => 226.21/33.59 ( 226.21/33.59 doubleComplementI1 => 226.21/33.59 ( 226.21/33.59 doubleComplementE1 => 226.21/33.59 ( 226.21/33.59 doubleComplementSub1 => 226.21/33.59 ( 226.21/33.59 ![A,X]: 226.21/33.59 (in( 226.21/33.59 X, 226.21/33.59 powerset( 226.21/33.59 A)) => 226.21/33.59 subset( 226.21/33.59 setminus( 226.21/33.59 A, 226.21/33.59 setminus( 226.21/33.59 A,X)),X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 226.21/33.59 tff(zf_stmt_0, conjecture, 226.21/33.59 (setextAx => 226.21/33.59 (emptysetAx => 226.21/33.59 (setadjoinAx => 226.21/33.59 ((![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: (in(X8,X6) => in(X8,X4))))) => 226.21/33.59 (setunionAx => 226.21/33.59 (omega0Ax => 226.21/33.59 (omegaSAx => 226.21/33.59 (omegaIndAx => 226.21/33.59 (replAx => 226.21/33.59 (foundationAx => 226.21/33.59 (wellorderingAx => 226.21/33.59 (descrp => 226.21/33.59 (dsetconstrI => 226.21/33.59 (dsetconstrEL => 226.21/33.59 (dsetconstrER => 226.21/33.59 (exuE1 => 226.21/33.59 (prop2setE => 226.21/33.59 (emptysetE => 226.21/33.59 (emptysetimpfalse => 226.21/33.59 (notinemptyset => 226.21/33.59 (exuE3e => 226.21/33.59 (setext => 226.21/33.59 (emptyI => 226.21/33.59 (noeltsimpempty => 226.21/33.59 (setbeta => 226.21/33.59 (nonemptyE1 => 226.21/33.59 (nonemptyI => 226.21/33.59 (nonemptyI1 => 226.21/33.59 (setadjoinIL => 226.21/33.59 (emptyinunitempty => 226.21/33.59 (setadjoinIR => 226.21/33.59 (setadjoinE => 226.21/33.59 (setadjoinOr => 226.21/33.59 (setoftrueEq => 226.21/33.59 ((![X10,X12]: 226.21/33.59 ((![X14]: 226.21/33.59 (in(X14,X12) => in(X14,X10))) => 226.21/33.59 in(X12,powerset(X10)))) => 226.21/33.59 ((![X16]: in(emptyset,powerset(X16))) => 226.21/33.59 ((![X18]: in(emptyset,powerset(X18))) => 226.21/33.59 ((![X20,X22,X24]: 226.21/33.59 (in(X22,powerset(X20)) => 226.21/33.59 (in(X24,X22) => in(X24,X20)))) => 226.21/33.59 (setunionI => 226.21/33.59 (setunionE => 226.21/33.59 (subPowSU => 226.21/33.59 (exuE2 => 226.21/33.59 (nonemptyImpWitness => 226.21/33.59 (uniqinunit => 226.21/33.59 (notinsingleton => 226.21/33.59 (eqinunit => 226.21/33.59 (singletonsswitch => 226.21/33.59 (upairsetE => 226.21/33.59 (upairsetIL => 226.21/33.59 (upairsetIR => 226.21/33.59 (emptyE1 => 226.21/33.59 (vacuousDall => 226.21/33.59 (quantDeMorgan1 => 226.21/33.59 (quantDeMorgan2 => 226.21/33.59 (quantDeMorgan3 => 226.21/33.59 (quantDeMorgan4 => 226.21/33.59 (prop2setI => 226.21/33.59 (prop2set2propI => 226.21/33.59 (notdexE => 226.21/33.59 (notdallE => 226.21/33.59 (exuI1 => 226.21/33.59 (exuI3 => 226.21/33.59 (exuI2 => 226.21/33.59 (inCongP => 226.21/33.59 (in__Cong => 226.21/33.59 (exuE3u => 226.21/33.59 ( 226.21/33.59 exu__Cong => 226.21/33.59 ( 226.21/33.59 emptyset__Cong => 226.21/33.59 ( 226.21/33.59 setadjoin__Cong => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X26,X28]: 226.21/33.59 (( 226.21/33.59 X26 = X28) => 226.21/33.59 (powerset( 226.21/33.59 X26) = 226.21/33.59 powerset( 226.21/33.59 X28)))) => 226.21/33.59 ( 226.21/33.59 setunion__Cong => 226.21/33.59 ( 226.21/33.59 omega__Cong => 226.21/33.59 ( 226.21/33.59 exuEu => 226.21/33.59 ( 226.21/33.59 descr__Cong => 226.21/33.59 ( 226.21/33.59 dsetconstr__Cong => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X30,X32]: 226.21/33.59 (( 226.21/33.59 ![X34]: 226.21/33.59 (in( 226.21/33.59 X34,X30) => 226.21/33.59 in( 226.21/33.59 X34,X32))) => 226.21/33.59 subset( 226.21/33.59 X30,X32))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X36,X38]: 226.21/33.59 (( 226.21/33.59 X36 = X38) => 226.21/33.59 subset( 226.21/33.59 X38,X36))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X40,X42]: 226.21/33.59 (( 226.21/33.59 X40 = X42) => 226.21/33.59 subset( 226.21/33.59 X40,X42))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X44,X46]: 226.21/33.59 (( 226.21/33.59 ![X48]: 226.21/33.59 (in( 226.21/33.59 X48,X44) => 226.21/33.59 in( 226.21/33.59 X48,X46))) => 226.21/33.59 subset( 226.21/33.59 X44,X46))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X50]: 226.21/33.59 subset( 226.21/33.59 emptyset, 226.21/33.59 X50)) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X52, 226.21/33.59 X54,X56]: 226.21/33.59 (subset( 226.21/33.59 X52,X54) => 226.21/33.59 (in( 226.21/33.59 X56,X52) => 226.21/33.59 in( 226.21/33.59 X56,X54)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X58, 226.21/33.59 X60,X62]: 226.21/33.59 (subset( 226.21/33.59 X58,X60) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X62,X60)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X62,X58))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X64, 226.21/33.59 X66,X68]: 226.21/33.59 (in( 226.21/33.59 X68,X64) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X68,X66)) => 226.21/33.59 (~ 226.21/33.59 subset( 226.21/33.59 X64,X66))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X70,X72]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 subset( 226.21/33.59 X70,X72)) => 226.21/33.59 (X70 != 226.21/33.59 X72))) => 226.21/33.59 ( 226.21/33.59 notequalI2 => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X74]: 226.21/33.59 subset( 226.21/33.59 X74,X74)) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X76, 226.21/33.59 X78,X80]: 226.21/33.59 (subset( 226.21/33.59 X76,X78) => 226.21/33.59 (subset( 226.21/33.59 X78,X80) => 226.21/33.59 subset( 226.21/33.59 X76,X80)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X82,X84]: 226.21/33.59 subset( 226.21/33.59 X84, 226.21/33.59 setadjoin( 226.21/33.59 X82,X84))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X86, 226.21/33.59 X88,X90]: 226.21/33.59 (subset( 226.21/33.59 X86,X90) => 226.21/33.59 subset( 226.21/33.59 X86, 226.21/33.59 setadjoin( 226.21/33.59 X88,X90)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X92,X94]: 226.21/33.59 (subset( 226.21/33.59 X92,X94) => 226.21/33.59 in( 226.21/33.59 X92, 226.21/33.59 powerset( 226.21/33.59 X94)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X96,X98]: 226.21/33.59 (subset( 226.21/33.59 X96,X98) => 226.21/33.59 (subset( 226.21/33.59 X98,X96) => 226.21/33.59 (X96 = 226.21/33.59 X98)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X100]: 226.21/33.59 (subset( 226.21/33.59 X100, 226.21/33.59 emptyset) => 226.21/33.59 (X100 = 226.21/33.59 emptyset))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X102, 226.21/33.59 X104]: 226.21/33.59 (subset( 226.21/33.59 X104,X102) => 226.21/33.59 in( 226.21/33.59 X104, 226.21/33.59 powerset( 226.21/33.59 X102)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X106, 226.21/33.59 X108]: 226.21/33.59 (in( 226.21/33.59 X108, 226.21/33.59 powerset( 226.21/33.59 X106)) => 226.21/33.59 subset( 226.21/33.59 X108,X106))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X110]: 226.21/33.59 in( 226.21/33.59 X110, 226.21/33.59 powerset( 226.21/33.59 X110))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X112, 226.21/33.59 X114]: 226.21/33.59 (subset( 226.21/33.59 X112,X114) => 226.21/33.59 subset( 226.21/33.59 powerset( 226.21/33.59 X112), 226.21/33.59 powerset( 226.21/33.59 X114)))) => 226.21/33.59 ( 226.21/33.59 sepInPowerset => 226.21/33.59 ( 226.21/33.59 sepSubset => 226.21/33.59 ( 226.21/33.59 binunionIL => 226.21/33.59 ( 226.21/33.59 upairset2IR => 226.21/33.59 ( 226.21/33.59 binunionIR => 226.21/33.59 ( 226.21/33.59 binunionEcases => 226.21/33.59 ( 226.21/33.59 binunionE => 226.21/33.59 ( 226.21/33.59 binunionLsub => 226.21/33.59 ( 226.21/33.59 binunionRsub => 226.21/33.59 ( 226.21/33.59 binintersectI => 226.21/33.59 ( 226.21/33.59 binintersectSubset5 => 226.21/33.59 ( 226.21/33.59 binintersectEL => 226.21/33.59 ( 226.21/33.59 binintersectLsub => 226.21/33.59 ( 226.21/33.59 binintersectSubset2 => 226.21/33.59 ( 226.21/33.59 binintersectSubset3 => 226.21/33.59 ( 226.21/33.59 binintersectER => 226.21/33.59 ( 226.21/33.59 disjointsetsI1 => 226.21/33.59 ( 226.21/33.59 binintersectRsub => 226.21/33.59 ( 226.21/33.59 binintersectSubset4 => 226.21/33.59 ( 226.21/33.59 binintersectSubset1 => 226.21/33.59 ( 226.21/33.59 bs114d => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X116, 226.21/33.59 X118,X120]: 226.21/33.59 (in( 226.21/33.59 X120,X116) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X120,X118)) => 226.21/33.59 in( 226.21/33.59 X120, 226.21/33.59 setminus( 226.21/33.59 X116,X118))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X122, 226.21/33.59 X124,X126]: 226.21/33.59 (in( 226.21/33.59 X126, 226.21/33.59 setminus( 226.21/33.59 X122,X124)) => 226.21/33.59 in( 226.21/33.59 X126,X122))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X128, 226.21/33.59 X130,X132]: 226.21/33.59 (in( 226.21/33.59 X132, 226.21/33.59 setminus( 226.21/33.59 X128,X130)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X132,X130)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X134, 226.21/33.59 X136]: 226.21/33.59 (subset( 226.21/33.59 X134,X136) => 226.21/33.59 (setminus( 226.21/33.59 X134,X136) = 226.21/33.59 emptyset))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X138, 226.21/33.59 X140,X142]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X142, 226.21/33.59 setminus( 226.21/33.59 X138,X140))) => 226.21/33.59 (in( 226.21/33.59 X142,X138) => 226.21/33.59 in( 226.21/33.59 X142,X140)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X144, 226.21/33.59 X146,X148]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X148, 226.21/33.59 setminus( 226.21/33.59 X144,X146))) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X148,X146)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X148,X144))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X150, 226.21/33.59 X152,X154]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X154,X150)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X154, 226.21/33.59 setminus( 226.21/33.59 X150,X152))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X156, 226.21/33.59 X158,X160]: 226.21/33.59 (in( 226.21/33.59 X160,X158) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X160, 226.21/33.59 setminus( 226.21/33.59 X156,X158))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X162, 226.21/33.59 X164]: 226.21/33.59 subset( 226.21/33.59 setminus( 226.21/33.59 X162,X164), 226.21/33.59 X162)) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X166, 226.21/33.59 X168]: 226.21/33.59 (( 226.21/33.59 setminus( 226.21/33.59 X166,X168) = 226.21/33.59 emptyset) => 226.21/33.59 subset( 226.21/33.59 X166,X168))) => 226.21/33.59 ( 226.21/33.59 symdiffE => 226.21/33.59 ( 226.21/33.59 symdiffI1 => 226.21/33.59 ( 226.21/33.59 symdiffI2 => 226.21/33.59 ( 226.21/33.59 symdiffIneg1 => 226.21/33.59 ( 226.21/33.59 symdiffIneg2 => 226.21/33.59 ( 226.21/33.59 secondinupair => 226.21/33.59 ( 226.21/33.59 setukpairIL => 226.21/33.59 ( 226.21/33.59 setukpairIR => 226.21/33.59 ( 226.21/33.59 kpairiskpair => 226.21/33.59 ( 226.21/33.59 kpairp => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X170, 226.21/33.59 X172]: 226.21/33.59 (in( 226.21/33.59 X172,X170) => 226.21/33.59 subset( 226.21/33.59 setadjoin( 226.21/33.59 X172, 226.21/33.59 emptyset), 226.21/33.59 X170))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X174, 226.21/33.59 X176]: 226.21/33.59 (in( 226.21/33.59 X176,X174) => 226.21/33.59 in( 226.21/33.59 setadjoin( 226.21/33.59 X176, 226.21/33.59 emptyset), 226.21/33.59 powerset( 226.21/33.59 X174)))) => 226.21/33.59 ( 226.21/33.59 singletoninpowunion => 226.21/33.59 ( 226.21/33.59 upairset2E => 226.21/33.59 ( 226.21/33.59 upairsubunion => 226.21/33.59 ( 226.21/33.59 upairinpowunion => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem1 => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem2 => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem3 => 226.21/33.59 ( 226.21/33.59 cartprodpairin => 226.21/33.59 ( 226.21/33.59 cartprodmempair1 => 226.21/33.59 ( 226.21/33.59 cartprodmempair => 226.21/33.59 ( 226.21/33.59 setunionE2 => 226.21/33.59 ( 226.21/33.59 setunionsingleton1 => 226.21/33.59 ( 226.21/33.59 setunionsingleton2 => 226.21/33.59 ( 226.21/33.59 setunionsingleton => 226.21/33.59 ( 226.21/33.59 singletonprop => 226.21/33.59 ( 226.21/33.59 ex1E1 => 226.21/33.59 ( 226.21/33.59 ex1I => 226.21/33.59 ( 226.21/33.59 ex1I2 => 226.21/33.59 ( 226.21/33.59 singletonsuniq => 226.21/33.59 ( 226.21/33.59 setukpairinjL1 => 226.21/33.59 ( 226.21/33.59 kfstsingleton => 226.21/33.59 ( 226.21/33.59 theprop => 226.21/33.59 ( 226.21/33.59 kfstpairEq => 226.21/33.59 ( 226.21/33.59 cartprodfstin => 226.21/33.59 ( 226.21/33.59 setukpairinjL2 => 226.21/33.59 ( 226.21/33.59 setukpairinjL => 226.21/33.59 ( 226.21/33.59 setukpairinjR11 => 226.21/33.59 ( 226.21/33.59 setukpairinjR12 => 226.21/33.59 ( 226.21/33.59 setukpairinjR1 => 226.21/33.59 ( 226.21/33.59 upairequniteq => 226.21/33.59 ( 226.21/33.59 setukpairinjR2 => 226.21/33.59 ( 226.21/33.59 setukpairinjR => 226.21/33.59 ( 226.21/33.59 ksndsingleton => 226.21/33.59 ( 226.21/33.59 ksndpairEq => 226.21/33.59 ( 226.21/33.59 kpairsurjEq => 226.21/33.59 ( 226.21/33.59 cartprodsndin => 226.21/33.59 ( 226.21/33.59 cartprodpairmemEL => 226.21/33.59 ( 226.21/33.59 cartprodpairmemER => 226.21/33.59 ( 226.21/33.59 cartprodmempaircEq => 226.21/33.59 ( 226.21/33.59 cartprodfstpairEq => 226.21/33.59 ( 226.21/33.59 cartprodsndpairEq => 226.21/33.59 ( 226.21/33.59 cartprodpairsurjEq => 226.21/33.59 ( 226.21/33.59 dpsetconstrI => 226.21/33.59 ( 226.21/33.59 dpsetconstrSub => 226.21/33.59 ( 226.21/33.59 setOfPairsIsBReln => 226.21/33.59 ( 226.21/33.59 dpsetconstrERa => 226.21/33.59 ( 226.21/33.59 dpsetconstrEL1 => 226.21/33.59 ( 226.21/33.59 dpsetconstrEL2 => 226.21/33.59 ( 226.21/33.59 dpsetconstrER => 226.21/33.59 ( 226.21/33.59 funcImageSingleton => 226.21/33.59 ( 226.21/33.59 apProp => 226.21/33.59 ( 226.21/33.59 app => 226.21/33.59 ( 226.21/33.59 infuncsetfunc => 226.21/33.59 ( 226.21/33.59 ap2p => 226.21/33.59 ( 226.21/33.59 funcinfuncset => 226.21/33.59 ( 226.21/33.59 lamProp => 226.21/33.59 ( 226.21/33.59 lamp => 226.21/33.59 ( 226.21/33.59 lam2p => 226.21/33.59 ( 226.21/33.59 brelnall1 => 226.21/33.59 ( 226.21/33.59 brelnall2 => 226.21/33.59 ( 226.21/33.59 ex1E2 => 226.21/33.59 ( 226.21/33.59 funcGraphProp1 => 226.21/33.59 ( 226.21/33.59 funcGraphProp3 => 226.21/33.59 ( 226.21/33.59 funcGraphProp2 => 226.21/33.59 ( 226.21/33.59 funcextLem => 226.21/33.59 ( 226.21/33.59 funcGraphProp4 => 226.21/33.59 ( 226.21/33.59 subbreln => 226.21/33.59 ( 226.21/33.59 eqbreln => 226.21/33.59 ( 226.21/33.59 funcext => 226.21/33.59 ( 226.21/33.59 funcext2 => 226.21/33.59 ( 226.21/33.59 ap2apEq1 => 226.21/33.59 ( 226.21/33.59 ap2apEq2 => 226.21/33.59 ( 226.21/33.59 beta1 => 226.21/33.59 ( 226.21/33.59 eta1 => 226.21/33.59 ( 226.21/33.59 lam2lamEq => 226.21/33.59 ( 226.21/33.59 beta2 => 226.21/33.59 ( 226.21/33.59 eta2 => 226.21/33.59 ( 226.21/33.59 iffalseProp1 => 226.21/33.59 ( 226.21/33.59 iffalseProp2 => 226.21/33.59 ( 226.21/33.59 iftrueProp1 => 226.21/33.59 ( 226.21/33.59 iftrueProp2 => 226.21/33.59 ( 226.21/33.59 ifSingleton => 226.21/33.59 ( 226.21/33.59 ifp => 226.21/33.59 ( 226.21/33.59 theeq => 226.21/33.59 ( 226.21/33.59 iftrue => 226.21/33.59 ( 226.21/33.59 iffalse => 226.21/33.59 ( 226.21/33.59 iftrueorfalse => 226.21/33.59 ( 226.21/33.59 binintersectT_lem => 226.21/33.59 ( 226.21/33.59 binunionT_lem => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X178, 226.21/33.59 X180]: 226.21/33.59 (in( 226.21/33.59 X180, 226.21/33.59 powerset( 226.21/33.59 X178)) => 226.21/33.59 in( 226.21/33.59 powerset( 226.21/33.59 X180), 226.21/33.59 powerset( 226.21/33.59 powerset( 226.21/33.59 X178))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X182, 226.21/33.59 X184]: 226.21/33.59 (in( 226.21/33.59 X184, 226.21/33.59 powerset( 226.21/33.59 X182)) => 226.21/33.59 (![X186]: 226.21/33.59 (in( 226.21/33.59 X186, 226.21/33.59 powerset( 226.21/33.59 X182)) => 226.21/33.59 in( 226.21/33.59 setminus( 226.21/33.59 X184,X186), 226.21/33.59 powerset( 226.21/33.59 X182)))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X188, 226.21/33.59 X190]: 226.21/33.59 (in( 226.21/33.59 X190, 226.21/33.59 powerset( 226.21/33.59 X188)) => 226.21/33.59 in( 226.21/33.59 setminus( 226.21/33.59 X188,X190), 226.21/33.59 powerset( 226.21/33.59 X188)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X192, 226.21/33.59 X194]: 226.21/33.59 (in( 226.21/33.59 X194, 226.21/33.59 powerset( 226.21/33.59 X192)) => 226.21/33.59 (![X196]: 226.21/33.59 (in( 226.21/33.59 X196, 226.21/33.59 powerset( 226.21/33.59 X192)) => 226.21/33.59 (( 226.21/33.59 ![X198]: 226.21/33.59 (in( 226.21/33.59 X198,X192) => 226.21/33.59 (in( 226.21/33.59 X198,X194) => 226.21/33.59 in( 226.21/33.59 X198,X196)))) => 226.21/33.59 (( 226.21/33.59 ![X200]: 226.21/33.59 (in( 226.21/33.59 X200,X192) => 226.21/33.59 (in( 226.21/33.59 X200,X196) => 226.21/33.59 in( 226.21/33.59 X200,X194)))) => 226.21/33.59 (X194 = 226.21/33.59 X196))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X202, 226.21/33.59 X204]: 226.21/33.59 (in( 226.21/33.59 X204, 226.21/33.59 powerset( 226.21/33.59 X202)) => 226.21/33.59 (![X206]: 226.21/33.59 (in( 226.21/33.59 X206, 226.21/33.59 powerset( 226.21/33.59 X202)) => 226.21/33.59 (( 226.21/33.59 ![X208]: 226.21/33.59 (in( 226.21/33.59 X208,X202) => 226.21/33.59 (in( 226.21/33.59 X208,X204) => 226.21/33.59 in( 226.21/33.59 X208,X206)))) => 226.21/33.59 subset( 226.21/33.59 X204,X206)))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X210, 226.21/33.59 X212]: 226.21/33.59 (in( 226.21/33.59 X212, 226.21/33.59 powerset( 226.21/33.59 X210)) => 226.21/33.59 (![X214]: 226.21/33.59 (in( 226.21/33.59 X214, 226.21/33.59 powerset( 226.21/33.59 X210)) => 226.21/33.59 (( 226.21/33.59 ![X216]: 226.21/33.59 (in( 226.21/33.59 X216,X210) => 226.21/33.59 (in( 226.21/33.59 X216,X212) => 226.21/33.59 in( 226.21/33.59 X216,X214)))) => 226.21/33.59 in( 226.21/33.59 X212, 226.21/33.59 powerset( 226.21/33.59 X214))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X218, 226.21/33.59 X220]: 226.21/33.59 (in( 226.21/33.59 X220, 226.21/33.59 powerset( 226.21/33.59 X218)) => 226.21/33.59 (![X222]: 226.21/33.59 (in( 226.21/33.59 X222, 226.21/33.59 powerset( 226.21/33.59 X218)) => 226.21/33.59 (![X224]: 226.21/33.59 (in( 226.21/33.59 X224,X218) => 226.21/33.59 (in( 226.21/33.59 X220, 226.21/33.59 powerset( 226.21/33.59 X222)) => 226.21/33.59 (in( 226.21/33.59 X224,X220) => 226.21/33.59 in( 226.21/33.59 X224,X222))))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X226, 226.21/33.59 X228]: 226.21/33.59 (in( 226.21/33.59 X228, 226.21/33.59 powerset( 226.21/33.59 X226)) => 226.21/33.59 (![X230]: 226.21/33.59 (in( 226.21/33.59 X230,X226) => 226.21/33.59 (in( 226.21/33.59 X230,X228) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X230, 226.21/33.59 setminus( 226.21/33.59 X226,X228)))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X232, 226.21/33.59 X234]: 226.21/33.59 (in( 226.21/33.59 X234, 226.21/33.59 powerset( 226.21/33.59 X232)) => 226.21/33.59 (![X236]: 226.21/33.59 (in( 226.21/33.59 X236,X232) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X236, 226.21/33.59 setminus( 226.21/33.59 X232,X234))) => 226.21/33.59 in( 226.21/33.59 X236,X234)))))) => 226.21/33.59 ( 226.21/33.59 binintersectTELcontra => 226.21/33.59 ( 226.21/33.59 binintersectTERcontra => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X238, 226.21/33.59 X240]: 226.21/33.59 (in( 226.21/33.59 X240, 226.21/33.59 powerset( 226.21/33.59 X238)) => 226.21/33.59 (![X242]: 226.21/33.59 (in( 226.21/33.59 X242, 226.21/33.59 powerset( 226.21/33.59 X238)) => 226.21/33.59 (![X244]: 226.21/33.59 (in( 226.21/33.59 X244,X238) => 226.21/33.59 (subset( 226.21/33.59 X240, 226.21/33.59 setminus( 226.21/33.59 X238,X242)) => 226.21/33.59 (in( 226.21/33.59 X244,X242) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X244,X240)))))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X246, 226.21/33.59 X248]: 226.21/33.59 (in( 226.21/33.59 X248, 226.21/33.59 powerset( 226.21/33.59 X246)) => 226.21/33.59 (![X250]: 226.21/33.59 (in( 226.21/33.59 X250, 226.21/33.59 powerset( 226.21/33.59 X246)) => 226.21/33.59 (![X252]: 226.21/33.59 (in( 226.21/33.59 X252,X246) => 226.21/33.59 (subset( 226.21/33.59 X248,X250) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X252,X250)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X252,X248)))))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X254, 226.21/33.59 X256]: 226.21/33.59 (in( 226.21/33.59 X256, 226.21/33.59 powerset( 226.21/33.59 X254)) => 226.21/33.59 (![X258]: 226.21/33.59 (in( 226.21/33.59 X258, 226.21/33.59 powerset( 226.21/33.59 X254)) => 226.21/33.59 (subset( 226.21/33.59 X256,X258) => 226.21/33.59 subset( 226.21/33.59 setminus( 226.21/33.59 X254,X258), 226.21/33.59 setminus( 226.21/33.59 X254,X256))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X260, 226.21/33.59 X262]: 226.21/33.59 (in( 226.21/33.59 X262, 226.21/33.59 powerset( 226.21/33.59 X260)) => 226.21/33.59 (![X264]: 226.21/33.59 (in( 226.21/33.59 X264, 226.21/33.59 powerset( 226.21/33.59 X260)) => 226.21/33.59 (subset( 226.21/33.59 setminus( 226.21/33.59 X260,X264), 226.21/33.59 setminus( 226.21/33.59 X260,X262)) => 226.21/33.59 subset( 226.21/33.59 X262,X264)))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X266, 226.21/33.59 X268]: 226.21/33.59 (in( 226.21/33.59 X268, 226.21/33.59 powerset( 226.21/33.59 X266)) => 226.21/33.59 (![X270]: 226.21/33.59 (in( 226.21/33.59 X270,X266) => 226.21/33.59 (in( 226.21/33.59 X270,X268) => 226.21/33.59 in( 226.21/33.59 X270, 226.21/33.59 setminus( 226.21/33.59 X266, 226.21/33.59 setminus( 226.21/33.59 X266,X268)))))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X272, 226.21/33.59 X274]: 226.21/33.59 (in( 226.21/33.59 X274, 226.21/33.59 powerset( 226.21/33.59 X272)) => 226.21/33.59 (![X276]: 226.21/33.59 (in( 226.21/33.59 X276,X272) => 226.21/33.59 (in( 226.21/33.59 X276, 226.21/33.59 setminus( 226.21/33.59 X272, 226.21/33.59 setminus( 226.21/33.59 X272,X274))) => 226.21/33.59 in( 226.21/33.59 X276,X274)))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X278, 226.21/33.59 X280]: 226.21/33.59 (in( 226.21/33.59 X280, 226.21/33.59 powerset( 226.21/33.59 X278)) => 226.21/33.59 subset( 226.21/33.59 X280, 226.21/33.59 setminus( 226.21/33.59 X278, 226.21/33.59 setminus( 226.21/33.59 X278,X280))))) => 226.21/33.59 ( 226.21/33.59 ![X282, 226.21/33.59 X284]: 226.21/33.59 (in( 226.21/33.59 X284, 226.21/33.59 powerset( 226.21/33.59 X282)) => 226.21/33.59 subset( 226.21/33.59 setminus( 226.21/33.59 X282, 226.21/33.59 setminus( 226.21/33.59 X282,X284)), 226.21/33.59 X284)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 226.21/33.59 tff(zf_stmt_1, type, zip_tseitin_0 : ($i * $i * $i) > $o). 226.21/33.59 tff(zf_stmt_2, axiom, (zip_tseitin_0(X8,X6,X4) <=> (in(X8,X6) => in(X8,X4)))). 226.21/33.59 tff(zf_stmt_3, conjecture, 226.21/33.59 (setextAx => 226.21/33.59 (emptysetAx => 226.21/33.59 (setadjoinAx => 226.21/33.59 ((![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: zip_tseitin_0(X8,X6,X4)))) => 226.21/33.59 (setunionAx => 226.21/33.59 (omega0Ax => 226.21/33.59 (omegaSAx => 226.21/33.59 (omegaIndAx => 226.21/33.59 (replAx => 226.21/33.59 (foundationAx => 226.21/33.59 (wellorderingAx => 226.21/33.59 (descrp => 226.21/33.59 (dsetconstrI => 226.21/33.59 (dsetconstrEL => 226.21/33.59 (dsetconstrER => 226.21/33.59 (exuE1 => 226.21/33.59 (prop2setE => 226.21/33.59 (emptysetE => 226.21/33.59 (emptysetimpfalse => 226.21/33.59 (notinemptyset => 226.21/33.59 (exuE3e => 226.21/33.59 (setext => 226.21/33.59 (emptyI => 226.21/33.59 (noeltsimpempty => 226.21/33.59 (setbeta => 226.21/33.59 (nonemptyE1 => 226.21/33.59 (nonemptyI => 226.21/33.59 (nonemptyI1 => 226.21/33.59 (setadjoinIL => 226.21/33.59 (emptyinunitempty => 226.21/33.59 (setadjoinIR => 226.21/33.59 (setadjoinE => 226.21/33.59 (setadjoinOr => 226.21/33.59 (setoftrueEq => 226.21/33.59 ((![X10,X12]: 226.21/33.59 ((![X14]: 226.21/33.59 (in(X14,X12) => in(X14,X10))) => 226.21/33.59 in(X12,powerset(X10)))) => 226.21/33.59 ((![X16]: in(emptyset,powerset(X16))) => 226.21/33.59 ((![X18]: in(emptyset,powerset(X18))) => 226.21/33.59 ((![X20,X22,X24]: 226.21/33.59 (in(X22,powerset(X20)) => 226.21/33.59 (in(X24,X22) => in(X24,X20)))) => 226.21/33.59 (setunionI => 226.21/33.59 (setunionE => 226.21/33.59 (subPowSU => 226.21/33.59 (exuE2 => 226.21/33.59 (nonemptyImpWitness => 226.21/33.59 (uniqinunit => 226.21/33.59 (notinsingleton => 226.21/33.59 (eqinunit => 226.21/33.59 (singletonsswitch => 226.21/33.59 (upairsetE => 226.21/33.59 (upairsetIL => 226.21/33.59 (upairsetIR => 226.21/33.59 (emptyE1 => 226.21/33.59 (vacuousDall => 226.21/33.59 (quantDeMorgan1 => 226.21/33.59 (quantDeMorgan2 => 226.21/33.59 (quantDeMorgan3 => 226.21/33.59 (quantDeMorgan4 => 226.21/33.59 (prop2setI => 226.21/33.59 (prop2set2propI => 226.21/33.59 (notdexE => 226.21/33.59 (notdallE => 226.21/33.59 (exuI1 => 226.21/33.59 (exuI3 => 226.21/33.59 (exuI2 => 226.21/33.59 (inCongP => 226.21/33.59 (in__Cong => 226.21/33.59 (exuE3u => 226.21/33.59 ( 226.21/33.59 exu__Cong => 226.21/33.59 ( 226.21/33.59 emptyset__Cong => 226.21/33.59 ( 226.21/33.59 setadjoin__Cong => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X26,X28]: 226.21/33.59 (( 226.21/33.59 X26 = X28) => 226.21/33.59 (powerset( 226.21/33.59 X26) = 226.21/33.59 powerset( 226.21/33.59 X28)))) => 226.21/33.59 ( 226.21/33.59 setunion__Cong => 226.21/33.59 ( 226.21/33.59 omega__Cong => 226.21/33.59 ( 226.21/33.59 exuEu => 226.21/33.59 ( 226.21/33.59 descr__Cong => 226.21/33.59 ( 226.21/33.59 dsetconstr__Cong => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X30,X32]: 226.21/33.59 (( 226.21/33.59 ![X34]: 226.21/33.59 (in( 226.21/33.59 X34,X30) => 226.21/33.59 in( 226.21/33.59 X34,X32))) => 226.21/33.59 subset( 226.21/33.59 X30,X32))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X36,X38]: 226.21/33.59 (( 226.21/33.59 X36 = X38) => 226.21/33.59 subset( 226.21/33.59 X38,X36))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X40,X42]: 226.21/33.59 (( 226.21/33.59 X40 = X42) => 226.21/33.59 subset( 226.21/33.59 X40,X42))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X44,X46]: 226.21/33.59 (( 226.21/33.59 ![X48]: 226.21/33.59 (in( 226.21/33.59 X48,X44) => 226.21/33.59 in( 226.21/33.59 X48,X46))) => 226.21/33.59 subset( 226.21/33.59 X44,X46))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X50]: 226.21/33.59 subset( 226.21/33.59 emptyset, 226.21/33.59 X50)) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X52, 226.21/33.59 X54,X56]: 226.21/33.59 (subset( 226.21/33.59 X52,X54) => 226.21/33.59 (in( 226.21/33.59 X56,X52) => 226.21/33.59 in( 226.21/33.59 X56,X54)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X58, 226.21/33.59 X60,X62]: 226.21/33.59 (subset( 226.21/33.59 X58,X60) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X62,X60)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X62,X58))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X64, 226.21/33.59 X66,X68]: 226.21/33.59 (in( 226.21/33.59 X68,X64) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X68,X66)) => 226.21/33.59 (~ 226.21/33.59 subset( 226.21/33.59 X64,X66))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X70,X72]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 subset( 226.21/33.59 X70,X72)) => 226.21/33.59 (X70 != 226.21/33.59 X72))) => 226.21/33.59 ( 226.21/33.59 notequalI2 => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X74]: 226.21/33.59 subset( 226.21/33.59 X74,X74)) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X76, 226.21/33.59 X78,X80]: 226.21/33.59 (subset( 226.21/33.59 X76,X78) => 226.21/33.59 (subset( 226.21/33.59 X78,X80) => 226.21/33.59 subset( 226.21/33.59 X76,X80)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X82,X84]: 226.21/33.59 subset( 226.21/33.59 X84, 226.21/33.59 setadjoin( 226.21/33.59 X82,X84))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X86, 226.21/33.59 X88,X90]: 226.21/33.59 (subset( 226.21/33.59 X86,X90) => 226.21/33.59 subset( 226.21/33.59 X86, 226.21/33.59 setadjoin( 226.21/33.59 X88,X90)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X92,X94]: 226.21/33.59 (subset( 226.21/33.59 X92,X94) => 226.21/33.59 in( 226.21/33.59 X92, 226.21/33.59 powerset( 226.21/33.59 X94)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X96,X98]: 226.21/33.59 (subset( 226.21/33.59 X96,X98) => 226.21/33.59 (subset( 226.21/33.59 X98,X96) => 226.21/33.59 (X96 = 226.21/33.59 X98)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X100]: 226.21/33.59 (subset( 226.21/33.59 X100, 226.21/33.59 emptyset) => 226.21/33.59 (X100 = 226.21/33.59 emptyset))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X102, 226.21/33.59 X104]: 226.21/33.59 (subset( 226.21/33.59 X104,X102) => 226.21/33.59 in( 226.21/33.59 X104, 226.21/33.59 powerset( 226.21/33.59 X102)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X106, 226.21/33.59 X108]: 226.21/33.59 (in( 226.21/33.59 X108, 226.21/33.59 powerset( 226.21/33.59 X106)) => 226.21/33.59 subset( 226.21/33.59 X108,X106))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X110]: 226.21/33.59 in( 226.21/33.59 X110, 226.21/33.59 powerset( 226.21/33.59 X110))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X112, 226.21/33.59 X114]: 226.21/33.59 (subset( 226.21/33.59 X112,X114) => 226.21/33.59 subset( 226.21/33.59 powerset( 226.21/33.59 X112), 226.21/33.59 powerset( 226.21/33.59 X114)))) => 226.21/33.59 ( 226.21/33.59 sepInPowerset => 226.21/33.59 ( 226.21/33.59 sepSubset => 226.21/33.59 ( 226.21/33.59 binunionIL => 226.21/33.59 ( 226.21/33.59 upairset2IR => 226.21/33.59 ( 226.21/33.59 binunionIR => 226.21/33.59 ( 226.21/33.59 binunionEcases => 226.21/33.59 ( 226.21/33.59 binunionE => 226.21/33.59 ( 226.21/33.59 binunionLsub => 226.21/33.59 ( 226.21/33.59 binunionRsub => 226.21/33.59 ( 226.21/33.59 binintersectI => 226.21/33.59 ( 226.21/33.59 binintersectSubset5 => 226.21/33.59 ( 226.21/33.59 binintersectEL => 226.21/33.59 ( 226.21/33.59 binintersectLsub => 226.21/33.59 ( 226.21/33.59 binintersectSubset2 => 226.21/33.59 ( 226.21/33.59 binintersectSubset3 => 226.21/33.59 ( 226.21/33.59 binintersectER => 226.21/33.59 ( 226.21/33.59 disjointsetsI1 => 226.21/33.59 ( 226.21/33.59 binintersectRsub => 226.21/33.59 ( 226.21/33.59 binintersectSubset4 => 226.21/33.59 ( 226.21/33.59 binintersectSubset1 => 226.21/33.59 ( 226.21/33.59 bs114d => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X116, 226.21/33.59 X118,X120]: 226.21/33.59 (in( 226.21/33.59 X120,X116) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X120,X118)) => 226.21/33.59 in( 226.21/33.59 X120, 226.21/33.59 setminus( 226.21/33.59 X116,X118))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X122, 226.21/33.59 X124,X126]: 226.21/33.59 (in( 226.21/33.59 X126, 226.21/33.59 setminus( 226.21/33.59 X122,X124)) => 226.21/33.59 in( 226.21/33.59 X126,X122))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X128, 226.21/33.59 X130,X132]: 226.21/33.59 (in( 226.21/33.59 X132, 226.21/33.59 setminus( 226.21/33.59 X128,X130)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X132,X130)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X134, 226.21/33.59 X136]: 226.21/33.59 (subset( 226.21/33.59 X134,X136) => 226.21/33.59 (setminus( 226.21/33.59 X134,X136) = 226.21/33.59 emptyset))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X138, 226.21/33.59 X140,X142]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X142, 226.21/33.59 setminus( 226.21/33.59 X138,X140))) => 226.21/33.59 (in( 226.21/33.59 X142,X138) => 226.21/33.59 in( 226.21/33.59 X142,X140)))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X144, 226.21/33.59 X146,X148]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X148, 226.21/33.59 setminus( 226.21/33.59 X144,X146))) => 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X148,X146)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X148,X144))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X150, 226.21/33.59 X152,X154]: 226.21/33.59 (( 226.21/33.59 ~ 226.21/33.59 in( 226.21/33.59 X154,X150)) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X154, 226.21/33.59 setminus( 226.21/33.59 X150,X152))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X156, 226.21/33.59 X158,X160]: 226.21/33.59 (in( 226.21/33.59 X160,X158) => 226.21/33.59 (~ 226.21/33.59 in( 226.21/33.59 X160, 226.21/33.59 setminus( 226.21/33.59 X156,X158))))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X162, 226.21/33.59 X164]: 226.21/33.59 subset( 226.21/33.59 setminus( 226.21/33.59 X162,X164), 226.21/33.59 X162)) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X166, 226.21/33.59 X168]: 226.21/33.59 (( 226.21/33.59 setminus( 226.21/33.59 X166,X168) = 226.21/33.59 emptyset) => 226.21/33.59 subset( 226.21/33.59 X166,X168))) => 226.21/33.59 ( 226.21/33.59 symdiffE => 226.21/33.59 ( 226.21/33.59 symdiffI1 => 226.21/33.59 ( 226.21/33.59 symdiffI2 => 226.21/33.59 ( 226.21/33.59 symdiffIneg1 => 226.21/33.59 ( 226.21/33.59 symdiffIneg2 => 226.21/33.59 ( 226.21/33.59 secondinupair => 226.21/33.59 ( 226.21/33.59 setukpairIL => 226.21/33.59 ( 226.21/33.59 setukpairIR => 226.21/33.59 ( 226.21/33.59 kpairiskpair => 226.21/33.59 ( 226.21/33.59 kpairp => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X170, 226.21/33.59 X172]: 226.21/33.59 (in( 226.21/33.59 X172,X170) => 226.21/33.59 subset( 226.21/33.59 setadjoin( 226.21/33.59 X172, 226.21/33.59 emptyset), 226.21/33.59 X170))) => 226.21/33.59 ( 226.21/33.59 ( 226.21/33.59 ![X174, 226.21/33.59 X176]: 226.21/33.59 (in( 226.21/33.59 X176,X174) => 226.21/33.59 in( 226.21/33.59 setadjoin( 226.21/33.59 X176, 226.21/33.59 emptyset), 226.21/33.59 powerset( 226.21/33.59 X174)))) => 226.21/33.59 ( 226.21/33.59 singletoninpowunion => 226.21/33.59 ( 226.21/33.59 upairset2E => 226.21/33.59 ( 226.21/33.59 upairsubunion => 226.21/33.59 ( 226.21/33.59 upairinpowunion => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem1 => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem2 => 226.21/33.59 ( 226.21/33.59 ubforcartprodlem3 => 226.21/33.59 ( 226.21/33.59 cartprodpairin => 226.21/33.59 ( 226.21/33.59 cartprodmempair1 => 226.21/33.59 ( 226.21/33.59 cartprodmempair => 226.21/33.59 ( 226.21/33.59 setunionE2 => 226.21/33.59 ( 226.21/33.59 setunionsingleton1 => 226.21/33.59 ( 226.21/33.59 setunionsingleton2 => 226.21/33.59 ( 226.21/33.59 setunionsingleton => 226.21/33.59 ( 226.21/33.59 singletonprop => 226.21/33.59 ( 226.21/33.59 ex1E1 => 226.21/33.59 ( 226.21/33.59 ex1I => 226.21/33.59 ( 226.21/33.59 ex1I2 => 226.21/33.59 ( 226.21/33.59 singletonsuniq => 226.21/33.59 ( 226.21/33.59 setukpairinjL1 => 226.21/33.59 ( 226.21/33.59 kfstsingleton => 226.21/33.59 ( 226.21/33.59 theprop => 226.21/33.59 ( 226.21/33.59 kfstpairEq => 226.21/33.59 ( 226.21/33.59 cartprodfstin => 226.21/33.59 ( 226.21/33.59 setukpairinjL2 => 226.21/33.59 ( 226.21/33.59 setukpairinjL => 226.21/33.59 ( 226.21/33.59 setukpairinjR11 => 226.21/33.59 ( 226.21/33.59 setukpairinjR12 => 226.21/33.59 ( 226.21/33.59 setukpairinjR1 => 226.21/33.59 ( 226.21/33.59 upairequniteq => 226.21/33.59 ( 226.21/33.59 setukpairinjR2 => 226.21/33.59 ( 226.21/33.59 setukpairinjR => 226.21/33.59 ( 226.21/33.59 ksndsingleton => 226.21/33.59 ( 226.21/33.59 ksndpairEq => 226.21/33.59 ( 226.21/33.59 kpairsurjEq => 226.21/33.59 ( 226.21/33.59 cartprodsndin => 226.21/33.59 ( 226.21/33.59 cartprodpairmemEL => 226.21/33.59 ( 226.21/33.59 cartprodpairmemER => 226.21/33.59 ( 226.21/33.59 cartprodmempaircEq => 226.21/33.59 ( 226.21/33.59 cartprodfstpairEq => 226.21/33.59 ( 226.21/33.59 cartprodsndpairEq => 226.21/33.59 ( 226.21/33.59 cartprodpairsurjEq => 226.21/33.59 ( 226.21/33.59 dpsetconstrI => 226.21/33.59 ( 226.21/33.59 dpsetconstrSub => 226.21/33.59 ( 226.21/33.59 setOfPairsIsBReln => 226.21/33.59 ( 226.21/33.59 dpsetconstrERa => 226.21/33.59 ( 226.21/33.59 dpsetconstrEL1 => 226.21/33.59 ( 226.21/33.59 dpsetconstrEL2 => 226.21/33.59 ( 226.21/33.59 dpsetconstrER => 226.21/33.59 ( 226.21/33.59 funcImageSingleton => 226.21/33.59 ( 226.21/33.59 apProp => 226.21/33.59 ( 226.21/33.59 app => 226.21/33.59 ( 226.21/33.59 infuncsetfunc => 226.21/33.59 ( 226.21/33.59 ap2p => 226.21/33.59 ( 226.21/33.59 funcinfuncset => 226.21/33.59 ( 226.21/33.59 lamProp => 226.21/33.59 ( 226.21/33.59 lamp => 226.21/33.59 ( 226.21/33.59 lam2p => 226.21/33.59 ( 226.21/33.59 brelnall1 => 226.21/33.59 ( 226.21/33.59 brelnall2 => 226.21/33.59 ( 226.21/33.59 ex1E2 => 226.21/33.59 ( 226.21/33.59 funcGraphProp1 => 226.21/33.59 ( 226.21/33.59 funcGraphProp3 => 226.21/33.59 ( 226.21/33.59 funcGraphProp2 => 226.21/33.59 ( 226.21/33.59 funcextLem => 226.21/33.59 ( 226.21/33.59 funcGraphProp4 => 226.21/33.59 ( 226.21/33.59 subbreln => 226.21/33.59 ( 226.21/33.59 eqbreln => 226.21/33.59 ( 226.21/33.59 funcext => 226.21/33.59 ( 226.21/33.59 funcext2 => 226.21/33.59 ( 226.21/33.59 ap2apEq1 => 226.21/33.59 ( 226.21/33.59 ap2apEq2 => 226.21/33.59 ( 226.21/33.59 beta1 => 226.21/33.59 ( 226.21/33.59 eta1 => 226.21/33.59 ( 226.21/33.59 lam2lamEq => 226.21/33.60 ( 226.21/33.60 beta2 => 226.21/33.60 ( 226.21/33.60 eta2 => 226.21/33.60 ( 226.21/33.60 iffalseProp1 => 226.21/33.60 ( 226.21/33.60 iffalseProp2 => 226.21/33.60 ( 226.21/33.60 iftrueProp1 => 226.21/33.60 ( 226.21/33.60 iftrueProp2 => 226.21/33.60 ( 226.21/33.60 ifSingleton => 226.21/33.60 ( 226.21/33.60 ifp => 226.21/33.60 ( 226.21/33.60 theeq => 226.21/33.60 ( 226.21/33.60 iftrue => 226.21/33.60 ( 226.21/33.60 iffalse => 226.21/33.60 ( 226.21/33.60 iftrueorfalse => 226.21/33.60 ( 226.21/33.60 binintersectT_lem => 226.21/33.60 ( 226.21/33.60 binunionT_lem => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X178, 226.21/33.60 X180]: 226.21/33.60 (in( 226.21/33.60 X180, 226.21/33.60 powerset( 226.21/33.60 X178)) => 226.21/33.60 in( 226.21/33.60 powerset( 226.21/33.60 X180), 226.21/33.60 powerset( 226.21/33.60 powerset( 226.21/33.60 X178))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X182, 226.21/33.60 X184]: 226.21/33.60 (in( 226.21/33.60 X184, 226.21/33.60 powerset( 226.21/33.60 X182)) => 226.21/33.60 (![X186]: 226.21/33.60 (in( 226.21/33.60 X186, 226.21/33.60 powerset( 226.21/33.60 X182)) => 226.21/33.60 in( 226.21/33.60 setminus( 226.21/33.60 X184,X186), 226.21/33.60 powerset( 226.21/33.60 X182)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X188, 226.21/33.60 X190]: 226.21/33.60 (in( 226.21/33.60 X190, 226.21/33.60 powerset( 226.21/33.60 X188)) => 226.21/33.60 in( 226.21/33.60 setminus( 226.21/33.60 X188,X190), 226.21/33.60 powerset( 226.21/33.60 X188)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X192, 226.21/33.60 X194]: 226.21/33.60 (in( 226.21/33.60 X194, 226.21/33.60 powerset( 226.21/33.60 X192)) => 226.21/33.60 (![X196]: 226.21/33.60 (in( 226.21/33.60 X196, 226.21/33.60 powerset( 226.21/33.60 X192)) => 226.21/33.60 (( 226.21/33.60 ![X198]: 226.21/33.60 (in( 226.21/33.60 X198,X192) => 226.21/33.60 (in( 226.21/33.60 X198,X194) => 226.21/33.60 in( 226.21/33.60 X198,X196)))) => 226.21/33.60 (( 226.21/33.60 ![X200]: 226.21/33.60 (in( 226.21/33.60 X200,X192) => 226.21/33.60 (in( 226.21/33.60 X200,X196) => 226.21/33.60 in( 226.21/33.60 X200,X194)))) => 226.21/33.60 (X194 = 226.21/33.60 X196))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X202, 226.21/33.60 X204]: 226.21/33.60 (in( 226.21/33.60 X204, 226.21/33.60 powerset( 226.21/33.60 X202)) => 226.21/33.60 (![X206]: 226.21/33.60 (in( 226.21/33.60 X206, 226.21/33.60 powerset( 226.21/33.60 X202)) => 226.21/33.60 (( 226.21/33.60 ![X208]: 226.21/33.60 (in( 226.21/33.60 X208,X202) => 226.21/33.60 (in( 226.21/33.60 X208,X204) => 226.21/33.60 in( 226.21/33.60 X208,X206)))) => 226.21/33.60 subset( 226.21/33.60 X204,X206)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X210, 226.21/33.60 X212]: 226.21/33.60 (in( 226.21/33.60 X212, 226.21/33.60 powerset( 226.21/33.60 X210)) => 226.21/33.60 (![X214]: 226.21/33.60 (in( 226.21/33.60 X214, 226.21/33.60 powerset( 226.21/33.60 X210)) => 226.21/33.60 (( 226.21/33.60 ![X216]: 226.21/33.60 (in( 226.21/33.60 X216,X210) => 226.21/33.60 (in( 226.21/33.60 X216,X212) => 226.21/33.60 in( 226.21/33.60 X216,X214)))) => 226.21/33.60 in( 226.21/33.60 X212, 226.21/33.60 powerset( 226.21/33.60 X214))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X218, 226.21/33.60 X220]: 226.21/33.60 (in( 226.21/33.60 X220, 226.21/33.60 powerset( 226.21/33.60 X218)) => 226.21/33.60 (![X222]: 226.21/33.60 (in( 226.21/33.60 X222, 226.21/33.60 powerset( 226.21/33.60 X218)) => 226.21/33.60 (![X224]: 226.21/33.60 (in( 226.21/33.60 X224,X218) => 226.21/33.60 (in( 226.21/33.60 X220, 226.21/33.60 powerset( 226.21/33.60 X222)) => 226.21/33.60 (in( 226.21/33.60 X224,X220) => 226.21/33.60 in( 226.21/33.60 X224,X222))))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X226, 226.21/33.60 X228]: 226.21/33.60 (in( 226.21/33.60 X228, 226.21/33.60 powerset( 226.21/33.60 X226)) => 226.21/33.60 (![X230]: 226.21/33.60 (in( 226.21/33.60 X230,X226) => 226.21/33.60 (in( 226.21/33.60 X230,X228) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X230, 226.21/33.60 setminus( 226.21/33.60 X226,X228)))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X232, 226.21/33.60 X234]: 226.21/33.60 (in( 226.21/33.60 X234, 226.21/33.60 powerset( 226.21/33.60 X232)) => 226.21/33.60 (![X236]: 226.21/33.60 (in( 226.21/33.60 X236,X232) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X236, 226.21/33.60 setminus( 226.21/33.60 X232,X234))) => 226.21/33.60 in( 226.21/33.60 X236,X234)))))) => 226.21/33.60 ( 226.21/33.60 binintersectTELcontra => 226.21/33.60 ( 226.21/33.60 binintersectTERcontra => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X238, 226.21/33.60 X240]: 226.21/33.60 (in( 226.21/33.60 X240, 226.21/33.60 powerset( 226.21/33.60 X238)) => 226.21/33.60 (![X242]: 226.21/33.60 (in( 226.21/33.60 X242, 226.21/33.60 powerset( 226.21/33.60 X238)) => 226.21/33.60 (![X244]: 226.21/33.60 (in( 226.21/33.60 X244,X238) => 226.21/33.60 (subset( 226.21/33.60 X240, 226.21/33.60 setminus( 226.21/33.60 X238,X242)) => 226.21/33.60 (in( 226.21/33.60 X244,X242) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X244,X240)))))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X246, 226.21/33.60 X248]: 226.21/33.60 (in( 226.21/33.60 X248, 226.21/33.60 powerset( 226.21/33.60 X246)) => 226.21/33.60 (![X250]: 226.21/33.60 (in( 226.21/33.60 X250, 226.21/33.60 powerset( 226.21/33.60 X246)) => 226.21/33.60 (![X252]: 226.21/33.60 (in( 226.21/33.60 X252,X246) => 226.21/33.60 (subset( 226.21/33.60 X248,X250) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X252,X250)) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X252,X248)))))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X254, 226.21/33.60 X256]: 226.21/33.60 (in( 226.21/33.60 X256, 226.21/33.60 powerset( 226.21/33.60 X254)) => 226.21/33.60 (![X258]: 226.21/33.60 (in( 226.21/33.60 X258, 226.21/33.60 powerset( 226.21/33.60 X254)) => 226.21/33.60 (subset( 226.21/33.60 X256,X258) => 226.21/33.60 subset( 226.21/33.60 setminus( 226.21/33.60 X254,X258), 226.21/33.60 setminus( 226.21/33.60 X254,X256))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X260, 226.21/33.60 X262]: 226.21/33.60 (in( 226.21/33.60 X262, 226.21/33.60 powerset( 226.21/33.60 X260)) => 226.21/33.60 (![X264]: 226.21/33.60 (in( 226.21/33.60 X264, 226.21/33.60 powerset( 226.21/33.60 X260)) => 226.21/33.60 (subset( 226.21/33.60 setminus( 226.21/33.60 X260,X264), 226.21/33.60 setminus( 226.21/33.60 X260,X262)) => 226.21/33.60 subset( 226.21/33.60 X262,X264)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X266, 226.21/33.60 X268]: 226.21/33.60 (in( 226.21/33.60 X268, 226.21/33.60 powerset( 226.21/33.60 X266)) => 226.21/33.60 (![X270]: 226.21/33.60 (in( 226.21/33.60 X270,X266) => 226.21/33.60 (in( 226.21/33.60 X270,X268) => 226.21/33.60 in( 226.21/33.60 X270, 226.21/33.60 setminus( 226.21/33.60 X266, 226.21/33.60 setminus( 226.21/33.60 X266,X268)))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X272, 226.21/33.60 X274]: 226.21/33.60 (in( 226.21/33.60 X274, 226.21/33.60 powerset( 226.21/33.60 X272)) => 226.21/33.60 (![X276]: 226.21/33.60 (in( 226.21/33.60 X276,X272) => 226.21/33.60 (in( 226.21/33.60 X276, 226.21/33.60 setminus( 226.21/33.60 X272, 226.21/33.60 setminus( 226.21/33.60 X272,X274))) => 226.21/33.60 in( 226.21/33.60 X276,X274)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X278, 226.21/33.60 X280]: 226.21/33.60 (in( 226.21/33.60 X280, 226.21/33.60 powerset( 226.21/33.60 X278)) => 226.21/33.60 subset( 226.21/33.60 X280, 226.21/33.60 setminus( 226.21/33.60 X278, 226.21/33.60 setminus( 226.21/33.60 X278,X280))))) => 226.21/33.60 ( 226.21/33.60 ![X282, 226.21/33.60 X284]: 226.21/33.60 (in( 226.21/33.60 X284, 226.21/33.60 powerset( 226.21/33.60 X282)) => 226.21/33.60 subset( 226.21/33.60 setminus( 226.21/33.60 X282, 226.21/33.60 setminus( 226.21/33.60 X282,X284)), 226.21/33.60 X284)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 226.21/33.60 tff(zf_stmt_4, negated_conjecture, 226.21/33.60 (~ 226.21/33.60 (setextAx => 226.21/33.60 (emptysetAx => 226.21/33.60 (setadjoinAx => 226.21/33.60 ((![X4,X6]: (in(X6,powerset(X4)) <=> (![X8]: zip_tseitin_0(X8,X6,X4)))) => 226.21/33.60 (setunionAx => 226.21/33.60 (omega0Ax => 226.21/33.60 (omegaSAx => 226.21/33.60 (omegaIndAx => 226.21/33.60 (replAx => 226.21/33.60 (foundationAx => 226.21/33.60 (wellorderingAx => 226.21/33.60 (descrp => 226.21/33.60 (dsetconstrI => 226.21/33.60 (dsetconstrEL => 226.21/33.60 (dsetconstrER => 226.21/33.60 (exuE1 => 226.21/33.60 (prop2setE => 226.21/33.60 (emptysetE => 226.21/33.60 (emptysetimpfalse => 226.21/33.60 (notinemptyset => 226.21/33.60 (exuE3e => 226.21/33.60 (setext => 226.21/33.60 (emptyI => 226.21/33.60 (noeltsimpempty => 226.21/33.60 (setbeta => 226.21/33.60 (nonemptyE1 => 226.21/33.60 (nonemptyI => 226.21/33.60 (nonemptyI1 => 226.21/33.60 (setadjoinIL => 226.21/33.60 (emptyinunitempty => 226.21/33.60 (setadjoinIR => 226.21/33.60 (setadjoinE => 226.21/33.60 (setadjoinOr => 226.21/33.60 (setoftrueEq => 226.21/33.60 ((![X10,X12]: 226.21/33.60 ((![X14]: 226.21/33.60 (in(X14,X12) => in(X14,X10))) => 226.21/33.60 in(X12,powerset(X10)))) => 226.21/33.60 ((![X16]: in(emptyset,powerset(X16))) => 226.21/33.60 ((![X18]: in(emptyset,powerset(X18))) => 226.21/33.60 ((![X20,X22,X24]: 226.21/33.60 (in(X22,powerset(X20)) => 226.21/33.60 (in(X24,X22) => in(X24,X20)))) => 226.21/33.60 (setunionI => 226.21/33.60 (setunionE => 226.21/33.60 (subPowSU => 226.21/33.60 (exuE2 => 226.21/33.60 (nonemptyImpWitness => 226.21/33.60 (uniqinunit => 226.21/33.60 (notinsingleton => 226.21/33.60 (eqinunit => 226.21/33.60 (singletonsswitch => 226.21/33.60 (upairsetE => 226.21/33.60 (upairsetIL => 226.21/33.60 (upairsetIR => 226.21/33.60 (emptyE1 => 226.21/33.60 (vacuousDall => 226.21/33.60 (quantDeMorgan1 => 226.21/33.60 (quantDeMorgan2 => 226.21/33.60 (quantDeMorgan3 => 226.21/33.60 (quantDeMorgan4 => 226.21/33.60 (prop2setI => 226.21/33.60 (prop2set2propI => 226.21/33.60 (notdexE => 226.21/33.60 (notdallE => 226.21/33.60 (exuI1 => 226.21/33.60 (exuI3 => 226.21/33.60 (exuI2 => 226.21/33.60 (inCongP => 226.21/33.60 ( 226.21/33.60 in__Cong => 226.21/33.60 ( 226.21/33.60 exuE3u => 226.21/33.60 ( 226.21/33.60 exu__Cong => 226.21/33.60 ( 226.21/33.60 emptyset__Cong => 226.21/33.60 ( 226.21/33.60 setadjoin__Cong => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X26,X28]: 226.21/33.60 (( 226.21/33.60 X26 = X28) => 226.21/33.60 (powerset( 226.21/33.60 X26) = 226.21/33.60 powerset( 226.21/33.60 X28)))) => 226.21/33.60 ( 226.21/33.60 setunion__Cong => 226.21/33.60 ( 226.21/33.60 omega__Cong => 226.21/33.60 ( 226.21/33.60 exuEu => 226.21/33.60 ( 226.21/33.60 descr__Cong => 226.21/33.60 ( 226.21/33.60 dsetconstr__Cong => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X30,X32]: 226.21/33.60 (( 226.21/33.60 ![X34]: 226.21/33.60 (in( 226.21/33.60 X34,X30) => 226.21/33.60 in( 226.21/33.60 X34,X32))) => 226.21/33.60 subset( 226.21/33.60 X30,X32))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X36,X38]: 226.21/33.60 (( 226.21/33.60 X36 = X38) => 226.21/33.60 subset( 226.21/33.60 X38,X36))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X40,X42]: 226.21/33.60 (( 226.21/33.60 X40 = X42) => 226.21/33.60 subset( 226.21/33.60 X40,X42))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X44,X46]: 226.21/33.60 (( 226.21/33.60 ![X48]: 226.21/33.60 (in( 226.21/33.60 X48,X44) => 226.21/33.60 in( 226.21/33.60 X48,X46))) => 226.21/33.60 subset( 226.21/33.60 X44,X46))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X50]: 226.21/33.60 subset( 226.21/33.60 emptyset, 226.21/33.60 X50)) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X52, 226.21/33.60 X54,X56]: 226.21/33.60 (subset( 226.21/33.60 X52,X54) => 226.21/33.60 (in( 226.21/33.60 X56,X52) => 226.21/33.60 in( 226.21/33.60 X56,X54)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X58, 226.21/33.60 X60,X62]: 226.21/33.60 (subset( 226.21/33.60 X58,X60) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X62,X60)) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X62,X58))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X64, 226.21/33.60 X66,X68]: 226.21/33.60 (in( 226.21/33.60 X68,X64) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X68,X66)) => 226.21/33.60 (~ 226.21/33.60 subset( 226.21/33.60 X64,X66))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X70,X72]: 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 subset( 226.21/33.60 X70,X72)) => 226.21/33.60 (X70 != 226.21/33.60 X72))) => 226.21/33.60 ( 226.21/33.60 notequalI2 => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X74]: 226.21/33.60 subset( 226.21/33.60 X74,X74)) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X76, 226.21/33.60 X78,X80]: 226.21/33.60 (subset( 226.21/33.60 X76,X78) => 226.21/33.60 (subset( 226.21/33.60 X78,X80) => 226.21/33.60 subset( 226.21/33.60 X76,X80)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X82,X84]: 226.21/33.60 subset( 226.21/33.60 X84, 226.21/33.60 setadjoin( 226.21/33.60 X82,X84))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X86, 226.21/33.60 X88,X90]: 226.21/33.60 (subset( 226.21/33.60 X86,X90) => 226.21/33.60 subset( 226.21/33.60 X86, 226.21/33.60 setadjoin( 226.21/33.60 X88,X90)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X92,X94]: 226.21/33.60 (subset( 226.21/33.60 X92,X94) => 226.21/33.60 in( 226.21/33.60 X92, 226.21/33.60 powerset( 226.21/33.60 X94)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X96,X98]: 226.21/33.60 (subset( 226.21/33.60 X96,X98) => 226.21/33.60 (subset( 226.21/33.60 X98,X96) => 226.21/33.60 (X96 = 226.21/33.60 X98)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X100]: 226.21/33.60 (subset( 226.21/33.60 X100, 226.21/33.60 emptyset) => 226.21/33.60 (X100 = 226.21/33.60 emptyset))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X102, 226.21/33.60 X104]: 226.21/33.60 (subset( 226.21/33.60 X104,X102) => 226.21/33.60 in( 226.21/33.60 X104, 226.21/33.60 powerset( 226.21/33.60 X102)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X106, 226.21/33.60 X108]: 226.21/33.60 (in( 226.21/33.60 X108, 226.21/33.60 powerset( 226.21/33.60 X106)) => 226.21/33.60 subset( 226.21/33.60 X108,X106))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X110]: 226.21/33.60 in( 226.21/33.60 X110, 226.21/33.60 powerset( 226.21/33.60 X110))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X112, 226.21/33.60 X114]: 226.21/33.60 (subset( 226.21/33.60 X112,X114) => 226.21/33.60 subset( 226.21/33.60 powerset( 226.21/33.60 X112), 226.21/33.60 powerset( 226.21/33.60 X114)))) => 226.21/33.60 ( 226.21/33.60 sepInPowerset => 226.21/33.60 ( 226.21/33.60 sepSubset => 226.21/33.60 ( 226.21/33.60 binunionIL => 226.21/33.60 ( 226.21/33.60 upairset2IR => 226.21/33.60 ( 226.21/33.60 binunionIR => 226.21/33.60 ( 226.21/33.60 binunionEcases => 226.21/33.60 ( 226.21/33.60 binunionE => 226.21/33.60 ( 226.21/33.60 binunionLsub => 226.21/33.60 ( 226.21/33.60 binunionRsub => 226.21/33.60 ( 226.21/33.60 binintersectI => 226.21/33.60 ( 226.21/33.60 binintersectSubset5 => 226.21/33.60 ( 226.21/33.60 binintersectEL => 226.21/33.60 ( 226.21/33.60 binintersectLsub => 226.21/33.60 ( 226.21/33.60 binintersectSubset2 => 226.21/33.60 ( 226.21/33.60 binintersectSubset3 => 226.21/33.60 ( 226.21/33.60 binintersectER => 226.21/33.60 ( 226.21/33.60 disjointsetsI1 => 226.21/33.60 ( 226.21/33.60 binintersectRsub => 226.21/33.60 ( 226.21/33.60 binintersectSubset4 => 226.21/33.60 ( 226.21/33.60 binintersectSubset1 => 226.21/33.60 ( 226.21/33.60 bs114d => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X116, 226.21/33.60 X118,X120]: 226.21/33.60 (in( 226.21/33.60 X120,X116) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X120,X118)) => 226.21/33.60 in( 226.21/33.60 X120, 226.21/33.60 setminus( 226.21/33.60 X116,X118))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X122, 226.21/33.60 X124,X126]: 226.21/33.60 (in( 226.21/33.60 X126, 226.21/33.60 setminus( 226.21/33.60 X122,X124)) => 226.21/33.60 in( 226.21/33.60 X126,X122))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X128, 226.21/33.60 X130,X132]: 226.21/33.60 (in( 226.21/33.60 X132, 226.21/33.60 setminus( 226.21/33.60 X128,X130)) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X132,X130)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X134, 226.21/33.60 X136]: 226.21/33.60 (subset( 226.21/33.60 X134,X136) => 226.21/33.60 (setminus( 226.21/33.60 X134,X136) = 226.21/33.60 emptyset))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X138, 226.21/33.60 X140,X142]: 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X142, 226.21/33.60 setminus( 226.21/33.60 X138,X140))) => 226.21/33.60 (in( 226.21/33.60 X142,X138) => 226.21/33.60 in( 226.21/33.60 X142,X140)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X144, 226.21/33.60 X146,X148]: 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X148, 226.21/33.60 setminus( 226.21/33.60 X144,X146))) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X148,X146)) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X148,X144))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X150, 226.21/33.60 X152,X154]: 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X154,X150)) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X154, 226.21/33.60 setminus( 226.21/33.60 X150,X152))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X156, 226.21/33.60 X158,X160]: 226.21/33.60 (in( 226.21/33.60 X160,X158) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X160, 226.21/33.60 setminus( 226.21/33.60 X156,X158))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X162, 226.21/33.60 X164]: 226.21/33.60 subset( 226.21/33.60 setminus( 226.21/33.60 X162,X164), 226.21/33.60 X162)) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X166, 226.21/33.60 X168]: 226.21/33.60 (( 226.21/33.60 setminus( 226.21/33.60 X166,X168) = 226.21/33.60 emptyset) => 226.21/33.60 subset( 226.21/33.60 X166,X168))) => 226.21/33.60 ( 226.21/33.60 symdiffE => 226.21/33.60 ( 226.21/33.60 symdiffI1 => 226.21/33.60 ( 226.21/33.60 symdiffI2 => 226.21/33.60 ( 226.21/33.60 symdiffIneg1 => 226.21/33.60 ( 226.21/33.60 symdiffIneg2 => 226.21/33.60 ( 226.21/33.60 secondinupair => 226.21/33.60 ( 226.21/33.60 setukpairIL => 226.21/33.60 ( 226.21/33.60 setukpairIR => 226.21/33.60 ( 226.21/33.60 kpairiskpair => 226.21/33.60 ( 226.21/33.60 kpairp => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X170, 226.21/33.60 X172]: 226.21/33.60 (in( 226.21/33.60 X172,X170) => 226.21/33.60 subset( 226.21/33.60 setadjoin( 226.21/33.60 X172, 226.21/33.60 emptyset), 226.21/33.60 X170))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X174, 226.21/33.60 X176]: 226.21/33.60 (in( 226.21/33.60 X176,X174) => 226.21/33.60 in( 226.21/33.60 setadjoin( 226.21/33.60 X176, 226.21/33.60 emptyset), 226.21/33.60 powerset( 226.21/33.60 X174)))) => 226.21/33.60 ( 226.21/33.60 singletoninpowunion => 226.21/33.60 ( 226.21/33.60 upairset2E => 226.21/33.60 ( 226.21/33.60 upairsubunion => 226.21/33.60 ( 226.21/33.60 upairinpowunion => 226.21/33.60 ( 226.21/33.60 ubforcartprodlem1 => 226.21/33.60 ( 226.21/33.60 ubforcartprodlem2 => 226.21/33.60 ( 226.21/33.60 ubforcartprodlem3 => 226.21/33.60 ( 226.21/33.60 cartprodpairin => 226.21/33.60 ( 226.21/33.60 cartprodmempair1 => 226.21/33.60 ( 226.21/33.60 cartprodmempair => 226.21/33.60 ( 226.21/33.60 setunionE2 => 226.21/33.60 ( 226.21/33.60 setunionsingleton1 => 226.21/33.60 ( 226.21/33.60 setunionsingleton2 => 226.21/33.60 ( 226.21/33.60 setunionsingleton => 226.21/33.60 ( 226.21/33.60 singletonprop => 226.21/33.60 ( 226.21/33.60 ex1E1 => 226.21/33.60 ( 226.21/33.60 ex1I => 226.21/33.60 ( 226.21/33.60 ex1I2 => 226.21/33.60 ( 226.21/33.60 singletonsuniq => 226.21/33.60 ( 226.21/33.60 setukpairinjL1 => 226.21/33.60 ( 226.21/33.60 kfstsingleton => 226.21/33.60 ( 226.21/33.60 theprop => 226.21/33.60 ( 226.21/33.60 kfstpairEq => 226.21/33.60 ( 226.21/33.60 cartprodfstin => 226.21/33.60 ( 226.21/33.60 setukpairinjL2 => 226.21/33.60 ( 226.21/33.60 setukpairinjL => 226.21/33.60 ( 226.21/33.60 setukpairinjR11 => 226.21/33.60 ( 226.21/33.60 setukpairinjR12 => 226.21/33.60 ( 226.21/33.60 setukpairinjR1 => 226.21/33.60 ( 226.21/33.60 upairequniteq => 226.21/33.60 ( 226.21/33.60 setukpairinjR2 => 226.21/33.60 ( 226.21/33.60 setukpairinjR => 226.21/33.60 ( 226.21/33.60 ksndsingleton => 226.21/33.60 ( 226.21/33.60 ksndpairEq => 226.21/33.60 ( 226.21/33.60 kpairsurjEq => 226.21/33.60 ( 226.21/33.60 cartprodsndin => 226.21/33.60 ( 226.21/33.60 cartprodpairmemEL => 226.21/33.60 ( 226.21/33.60 cartprodpairmemER => 226.21/33.60 ( 226.21/33.60 cartprodmempaircEq => 226.21/33.60 ( 226.21/33.60 cartprodfstpairEq => 226.21/33.60 ( 226.21/33.60 cartprodsndpairEq => 226.21/33.60 ( 226.21/33.60 cartprodpairsurjEq => 226.21/33.60 ( 226.21/33.60 dpsetconstrI => 226.21/33.60 ( 226.21/33.60 dpsetconstrSub => 226.21/33.60 ( 226.21/33.60 setOfPairsIsBReln => 226.21/33.60 ( 226.21/33.60 dpsetconstrERa => 226.21/33.60 ( 226.21/33.60 dpsetconstrEL1 => 226.21/33.60 ( 226.21/33.60 dpsetconstrEL2 => 226.21/33.60 ( 226.21/33.60 dpsetconstrER => 226.21/33.60 ( 226.21/33.60 funcImageSingleton => 226.21/33.60 ( 226.21/33.60 apProp => 226.21/33.60 ( 226.21/33.60 app => 226.21/33.60 ( 226.21/33.60 infuncsetfunc => 226.21/33.60 ( 226.21/33.60 ap2p => 226.21/33.60 ( 226.21/33.60 funcinfuncset => 226.21/33.60 ( 226.21/33.60 lamProp => 226.21/33.60 ( 226.21/33.60 lamp => 226.21/33.60 ( 226.21/33.60 lam2p => 226.21/33.60 ( 226.21/33.60 brelnall1 => 226.21/33.60 ( 226.21/33.60 brelnall2 => 226.21/33.60 ( 226.21/33.60 ex1E2 => 226.21/33.60 ( 226.21/33.60 funcGraphProp1 => 226.21/33.60 ( 226.21/33.60 funcGraphProp3 => 226.21/33.60 ( 226.21/33.60 funcGraphProp2 => 226.21/33.60 ( 226.21/33.60 funcextLem => 226.21/33.60 ( 226.21/33.60 funcGraphProp4 => 226.21/33.60 ( 226.21/33.60 subbreln => 226.21/33.60 ( 226.21/33.60 eqbreln => 226.21/33.60 ( 226.21/33.60 funcext => 226.21/33.60 ( 226.21/33.60 funcext2 => 226.21/33.60 ( 226.21/33.60 ap2apEq1 => 226.21/33.60 ( 226.21/33.60 ap2apEq2 => 226.21/33.60 ( 226.21/33.60 beta1 => 226.21/33.60 ( 226.21/33.60 eta1 => 226.21/33.60 ( 226.21/33.60 lam2lamEq => 226.21/33.60 ( 226.21/33.60 beta2 => 226.21/33.60 ( 226.21/33.60 eta2 => 226.21/33.60 ( 226.21/33.60 iffalseProp1 => 226.21/33.60 ( 226.21/33.60 iffalseProp2 => 226.21/33.60 ( 226.21/33.60 iftrueProp1 => 226.21/33.60 ( 226.21/33.60 iftrueProp2 => 226.21/33.60 ( 226.21/33.60 ifSingleton => 226.21/33.60 ( 226.21/33.60 ifp => 226.21/33.60 ( 226.21/33.60 theeq => 226.21/33.60 ( 226.21/33.60 iftrue => 226.21/33.60 ( 226.21/33.60 iffalse => 226.21/33.60 ( 226.21/33.60 iftrueorfalse => 226.21/33.60 ( 226.21/33.60 binintersectT_lem => 226.21/33.60 ( 226.21/33.60 binunionT_lem => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X178, 226.21/33.60 X180]: 226.21/33.60 (in( 226.21/33.60 X180, 226.21/33.60 powerset( 226.21/33.60 X178)) => 226.21/33.60 in( 226.21/33.60 powerset( 226.21/33.60 X180), 226.21/33.60 powerset( 226.21/33.60 powerset( 226.21/33.60 X178))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X182, 226.21/33.60 X184]: 226.21/33.60 (in( 226.21/33.60 X184, 226.21/33.60 powerset( 226.21/33.60 X182)) => 226.21/33.60 (![X186]: 226.21/33.60 (in( 226.21/33.60 X186, 226.21/33.60 powerset( 226.21/33.60 X182)) => 226.21/33.60 in( 226.21/33.60 setminus( 226.21/33.60 X184,X186), 226.21/33.60 powerset( 226.21/33.60 X182)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X188, 226.21/33.60 X190]: 226.21/33.60 (in( 226.21/33.60 X190, 226.21/33.60 powerset( 226.21/33.60 X188)) => 226.21/33.60 in( 226.21/33.60 setminus( 226.21/33.60 X188,X190), 226.21/33.60 powerset( 226.21/33.60 X188)))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X192, 226.21/33.60 X194]: 226.21/33.60 (in( 226.21/33.60 X194, 226.21/33.60 powerset( 226.21/33.60 X192)) => 226.21/33.60 (![X196]: 226.21/33.60 (in( 226.21/33.60 X196, 226.21/33.60 powerset( 226.21/33.60 X192)) => 226.21/33.60 (( 226.21/33.60 ![X198]: 226.21/33.60 (in( 226.21/33.60 X198,X192) => 226.21/33.60 (in( 226.21/33.60 X198,X194) => 226.21/33.60 in( 226.21/33.60 X198,X196)))) => 226.21/33.60 (( 226.21/33.60 ![X200]: 226.21/33.60 (in( 226.21/33.60 X200,X192) => 226.21/33.60 (in( 226.21/33.60 X200,X196) => 226.21/33.60 in( 226.21/33.60 X200,X194)))) => 226.21/33.60 (X194 = 226.21/33.60 X196))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X202, 226.21/33.60 X204]: 226.21/33.60 (in( 226.21/33.60 X204, 226.21/33.60 powerset( 226.21/33.60 X202)) => 226.21/33.60 (![X206]: 226.21/33.60 (in( 226.21/33.60 X206, 226.21/33.60 powerset( 226.21/33.60 X202)) => 226.21/33.60 (( 226.21/33.60 ![X208]: 226.21/33.60 (in( 226.21/33.60 X208,X202) => 226.21/33.60 (in( 226.21/33.60 X208,X204) => 226.21/33.60 in( 226.21/33.60 X208,X206)))) => 226.21/33.60 subset( 226.21/33.60 X204,X206)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X210, 226.21/33.60 X212]: 226.21/33.60 (in( 226.21/33.60 X212, 226.21/33.60 powerset( 226.21/33.60 X210)) => 226.21/33.60 (![X214]: 226.21/33.60 (in( 226.21/33.60 X214, 226.21/33.60 powerset( 226.21/33.60 X210)) => 226.21/33.60 (( 226.21/33.60 ![X216]: 226.21/33.60 (in( 226.21/33.60 X216,X210) => 226.21/33.60 (in( 226.21/33.60 X216,X212) => 226.21/33.60 in( 226.21/33.60 X216,X214)))) => 226.21/33.60 in( 226.21/33.60 X212, 226.21/33.60 powerset( 226.21/33.60 X214))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X218, 226.21/33.60 X220]: 226.21/33.60 (in( 226.21/33.60 X220, 226.21/33.60 powerset( 226.21/33.60 X218)) => 226.21/33.60 (![X222]: 226.21/33.60 (in( 226.21/33.60 X222, 226.21/33.60 powerset( 226.21/33.60 X218)) => 226.21/33.60 (![X224]: 226.21/33.60 (in( 226.21/33.60 X224,X218) => 226.21/33.60 (in( 226.21/33.60 X220, 226.21/33.60 powerset( 226.21/33.60 X222)) => 226.21/33.60 (in( 226.21/33.60 X224,X220) => 226.21/33.60 in( 226.21/33.60 X224,X222))))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X226, 226.21/33.60 X228]: 226.21/33.60 (in( 226.21/33.60 X228, 226.21/33.60 powerset( 226.21/33.60 X226)) => 226.21/33.60 (![X230]: 226.21/33.60 (in( 226.21/33.60 X230,X226) => 226.21/33.60 (in( 226.21/33.60 X230,X228) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X230, 226.21/33.60 setminus( 226.21/33.60 X226,X228)))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X232, 226.21/33.60 X234]: 226.21/33.60 (in( 226.21/33.60 X234, 226.21/33.60 powerset( 226.21/33.60 X232)) => 226.21/33.60 (![X236]: 226.21/33.60 (in( 226.21/33.60 X236,X232) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X236, 226.21/33.60 setminus( 226.21/33.60 X232,X234))) => 226.21/33.60 in( 226.21/33.60 X236,X234)))))) => 226.21/33.60 ( 226.21/33.60 binintersectTELcontra => 226.21/33.60 ( 226.21/33.60 binintersectTERcontra => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X238, 226.21/33.60 X240]: 226.21/33.60 (in( 226.21/33.60 X240, 226.21/33.60 powerset( 226.21/33.60 X238)) => 226.21/33.60 (![X242]: 226.21/33.60 (in( 226.21/33.60 X242, 226.21/33.60 powerset( 226.21/33.60 X238)) => 226.21/33.60 (![X244]: 226.21/33.60 (in( 226.21/33.60 X244,X238) => 226.21/33.60 (subset( 226.21/33.60 X240, 226.21/33.60 setminus( 226.21/33.60 X238,X242)) => 226.21/33.60 (in( 226.21/33.60 X244,X242) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X244,X240)))))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X246, 226.21/33.60 X248]: 226.21/33.60 (in( 226.21/33.60 X248, 226.21/33.60 powerset( 226.21/33.60 X246)) => 226.21/33.60 (![X250]: 226.21/33.60 (in( 226.21/33.60 X250, 226.21/33.60 powerset( 226.21/33.60 X246)) => 226.21/33.60 (![X252]: 226.21/33.60 (in( 226.21/33.60 X252,X246) => 226.21/33.60 (subset( 226.21/33.60 X248,X250) => 226.21/33.60 (( 226.21/33.60 ~ 226.21/33.60 in( 226.21/33.60 X252,X250)) => 226.21/33.60 (~ 226.21/33.60 in( 226.21/33.60 X252,X248)))))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X254, 226.21/33.60 X256]: 226.21/33.60 (in( 226.21/33.60 X256, 226.21/33.60 powerset( 226.21/33.60 X254)) => 226.21/33.60 (![X258]: 226.21/33.60 (in( 226.21/33.60 X258, 226.21/33.60 powerset( 226.21/33.60 X254)) => 226.21/33.60 (subset( 226.21/33.60 X256,X258) => 226.21/33.60 subset( 226.21/33.60 setminus( 226.21/33.60 X254,X258), 226.21/33.60 setminus( 226.21/33.60 X254,X256))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X260, 226.21/33.60 X262]: 226.21/33.60 (in( 226.21/33.60 X262, 226.21/33.60 powerset( 226.21/33.60 X260)) => 226.21/33.60 (![X264]: 226.21/33.60 (in( 226.21/33.60 X264, 226.21/33.60 powerset( 226.21/33.60 X260)) => 226.21/33.60 (subset( 226.21/33.60 setminus( 226.21/33.60 X260,X264), 226.21/33.60 setminus( 226.21/33.60 X260,X262)) => 226.21/33.60 subset( 226.21/33.60 X262,X264)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X266, 226.21/33.60 X268]: 226.21/33.60 (in( 226.21/33.60 X268, 226.21/33.60 powerset( 226.21/33.60 X266)) => 226.21/33.60 (![X270]: 226.21/33.60 (in( 226.21/33.60 X270,X266) => 226.21/33.60 (in( 226.21/33.60 X270,X268) => 226.21/33.60 in( 226.21/33.60 X270, 226.21/33.60 setminus( 226.21/33.60 X266, 226.21/33.60 setminus( 226.21/33.60 X266,X268)))))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X272, 226.21/33.60 X274]: 226.21/33.60 (in( 226.21/33.60 X274, 226.21/33.60 powerset( 226.21/33.60 X272)) => 226.21/33.60 (![X276]: 226.21/33.60 (in( 226.21/33.60 X276,X272) => 226.21/33.60 (in( 226.21/33.60 X276, 226.21/33.60 setminus( 226.21/33.60 X272, 226.21/33.60 setminus( 226.21/33.60 X272,X274))) => 226.21/33.60 in( 226.21/33.60 X276,X274)))))) => 226.21/33.60 ( 226.21/33.60 ( 226.21/33.60 ![X278, 226.21/33.60 X280]: 226.21/33.60 (in( 226.21/33.60 X280, 226.21/33.60 powerset( 226.21/33.60 X278)) => 226.21/33.60 subset( 226.21/33.60 X280, 226.21/33.60 setminus( 226.21/33.60 X278, 226.21/33.60 setminus( 226.21/33.60 X278,X280))))) => 226.21/33.60 ( 226.21/33.60 ![X282, 226.21/33.60 X284]: 226.21/33.60 (in( 226.21/33.60 X284, 226.21/33.60 powerset( 226.21/33.60 X282)) => 226.21/33.60 subset( 226.21/33.60 setminus( 226.21/33.60 X282, 226.21/33.60 setminus( 226.21/33.60 X282,X284)), 226.21/33.60 X284))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 226.21/33.60 tff('54', plain, in(sk_X284, powerset(sk_X282)), 226.21/33.60 inference('cnf', [status(esa)], [zf_stmt_4])). 226.21/33.60 tff('55', plain, 226.21/33.60 ~ subset(setminus(sk_X282, setminus(sk_X282, sk_X284)), sk_X284), 226.21/33.60 inference('cnf', [status(esa)], [zf_stmt_4])). 226.21/33.60 tff('56', plain, 226.21/33.60 ![X207, X208]: 226.21/33.60 ( subset(X207, setminus(X208, setminus(X208, X207))) 226.21/33.60 | ~ in(X207, powerset(X208))), 226.21/33.60 inference('cnf', [status(esa)], [zf_stmt_4])). 226.21/33.60 tff('57', plain, 226.21/33.60 ![X201, X202, X203]: 226.21/33.60 (~ in(X201, powerset(X202)) 226.21/33.60 | subset(X203, X201) 226.21/33.60 | ~ subset(setminus(X202, X201), setminus(X202, X203)) 226.21/33.60 | ~ in(X203, powerset(X202))), 226.21/33.60 inference('cnf', [status(esa)], [zf_stmt_4])). 226.21/33.60 tff('58', plain, ![X233, X234]: subset(setminus(X233, X234), X233), 226.21/33.60 inference('cnf', [status(esa)], [zf_stmt_4])). 226.21/33.60 tff('59', plain, 226.21/33.60 ![X165, X166]: ( in(X165, powerset(X166)) | ~ subset(X165, X166)), 226.21/33.60 inference('cnf', [status(esa)], [zf_stmt_4])). 226.21/33.60 tff('60', plain, $false, 226.21/33.60 inference('eprover', [status(thm)], ['54', '55', '56', '57', '58', '59'])). 226.21/33.60 226.21/33.60 % SZS output end Refutation 226.21/33.60 226.21/33.60 226.21/33.60 % Terminating... 226.51/33.79 % Runner terminated. 226.54/33.81 % Zipperpin 1.5 exiting 226.54/33.82 EOF