0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.QOAU1IioXO 0.14/0.35 % Computer : n015.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % DateTime : Tue Jul 13 14:01:50 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % 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 0.51/0.66 % Estimated wc time : 1286 0.51/0.66 % Estimated cpu time (7 cpus) : 183.71428571428572 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 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.s.2.sh running for 68s 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/old_b3.avatar.sh running for 15s 70.45/10.84 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 103.49/15.58 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 105.35/15.84 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 146.60/21.81 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 146.60/21.83 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 181.02/26.89 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 186.02/27.69 % /export/starexec/sandbox/solver/bin/lams/b.rw.sh running for 26s 187.07/27.87 % /export/starexec/sandbox/solver/bin/lams/c_ic.sh running for 42s 262.96/38.77 % /export/starexec/sandbox/solver/bin/lams/s1.f.sh running for 15s 286.04/42.05 % /export/starexec/sandbox/solver/bin/lams/c.preprocess2.sh running for 21s 318.47/46.83 % /export/starexec/sandbox/solver/bin/lams/sh.or.sh running for 26s 328.52/48.37 % Solved by lams/c_ic.sh. 328.52/48.37 % Running : timeout 32 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.QOAU1IioXO/e_inputc4fcfa --cpu-limit=30 --auto-schedule -s -p. 328.52/48.37 % done 2405 iterations in 20.468s 328.52/48.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 328.52/48.37 % SZS output start Refutation 328.52/48.37 tff(upairset2E, axiom, upairset2E <=> 328.52/48.37 (![Xx,Xy,Xz]: 328.52/48.37 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 328.52/48.37 tff('0', plain, 328.52/48.37 upairset2E = 328.52/48.37 (![X4,X6,X8]: 328.52/48.37 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 328.52/48.37 ((X8 = X4) | (X8 = X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(singletoninpowunion, axiom, singletoninpowunion <=> 328.52/48.37 (![A,B,Xx]: 328.52/48.37 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 328.52/48.37 tff('1', plain, 328.52/48.37 singletoninpowunion = 328.52/48.37 (![X4,X6,X8]: 328.52/48.37 (in(X8,X4) => in(setadjoin(X8,emptyset),powerset(binunion(X4,X6))))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(singletonsubset, axiom, singletonsubset <=> 328.52/48.37 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 328.52/48.37 tff('2', plain, 328.52/48.37 singletonsubset = 328.52/48.37 (![X4,X6]: (in(X6,X4) => subset(setadjoin(X6,emptyset),X4))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(secondinupair, axiom, secondinupair <=> 328.52/48.37 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 328.52/48.37 tff('3', plain, 328.52/48.37 secondinupair = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(bs114d, axiom, bs114d <=> 328.52/48.37 (![A,B,C]: 328.52/48.37 (binintersect(A,binunion(B,C)) = 328.52/48.37 binunion(binintersect(A,B),binintersect(A,C))))). 328.52/48.37 tff('4', plain, 328.52/48.37 bs114d = 328.52/48.37 (![X4,X6,X8]: 328.52/48.37 (binintersect(X4,binunion(X6,X8)) = 328.52/48.37 binunion(binintersect(X4,X6),binintersect(X4,X8)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 328.52/48.37 tff('5', plain, binunionRsub = (![X4,X6]: subset(X6,binunion(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 328.52/48.37 tff('6', plain, binunionLsub = (![X4,X6]: subset(X4,binunion(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(binunionE, axiom, binunionE <=> 328.52/48.37 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,A) | in(Xx,B))))). 328.52/48.37 tff('7', plain, 328.52/48.37 binunionE = 328.52/48.37 (![X4,X6,X8]: (in(X8,binunion(X4,X6)) => (in(X8,X4) | in(X8,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(binunionEcases, axiom, binunionEcases <=> 328.52/48.37 (![A,B,Xx,Xphi:$o]: 328.52/48.37 (in(Xx,binunion(A,B)) => 328.52/48.37 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 328.52/48.37 tff('8', plain, 328.52/48.37 binunionEcases = 328.52/48.37 (![X4,X6,X8,X10:$o]: 328.52/48.37 (in(X8,binunion(X4,X6)) => 328.52/48.37 ((in(X8,X4) => X10) => ((in(X8,X6) => X10) => X10)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(binunionIR, axiom, binunionIR <=> 328.52/48.37 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 328.52/48.37 tff('9', plain, 328.52/48.37 binunionIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,binunion(X4,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(upairset2IR, axiom, upairset2IR <=> 328.52/48.37 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 328.52/48.37 tff('10', plain, 328.52/48.37 upairset2IR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(binunionIL, axiom, binunionIL <=> 328.52/48.37 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 328.52/48.37 tff('11', plain, 328.52/48.37 binunionIL = (![X4,X6,X8]: (in(X8,X4) => in(X8,binunion(X4,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 328.52/48.37 (![A]: (subset(A,emptyset) => (A = emptyset)))). 328.52/48.37 tff('12', plain, 328.52/48.37 subsetemptysetimpeq = (![X4]: (subset(X4,emptyset) => (X4 = emptyset))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setextsub, axiom, setextsub <=> 328.52/48.37 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 328.52/48.37 tff('13', plain, 328.52/48.37 setextsub = (![X4,X6]: (subset(X4,X6) => (subset(X6,X4) => (X4 = X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 328.52/48.37 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 328.52/48.37 tff('14', plain, 328.52/48.37 setadjoinSub2 = 328.52/48.37 (![X4,X6,X8]: (subset(X4,X8) => subset(X4,setadjoin(X6,X8)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinSub, axiom, setadjoinSub <=> 328.52/48.37 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 328.52/48.37 tff('15', plain, setadjoinSub = (![X4,X6]: subset(X6,setadjoin(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetTrans, axiom, subsetTrans <=> 328.52/48.37 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 328.52/48.37 tff('16', plain, 328.52/48.37 subsetTrans = 328.52/48.37 (![X4,X6,X8]: (subset(X4,X6) => (subset(X6,X8) => subset(X4,X8)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 328.52/48.37 tff('17', plain, subsetRefl = (![X4]: subset(X4,X4)), define([status(thm)])). 328.52/48.37 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 328.52/48.37 tff('18', plain, notequalI1 = (![X4,X6]: ((~subset(X4,X6)) => (X4 != X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(notsubsetI, axiom, notsubsetI <=> 328.52/48.37 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 328.52/48.37 tff('19', plain, 328.52/48.37 notsubsetI = 328.52/48.37 (![X4,X6,X8]: (in(X8,X4) => ((~in(X8,X6)) => (~subset(X4,X6))))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetE2, axiom, subsetE2 <=> 328.52/48.37 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 328.52/48.37 tff('20', plain, 328.52/48.37 subsetE2 = 328.52/48.37 (![X4,X6,X8]: (subset(X4,X6) => ((~in(X8,X6)) => (~in(X8,X4))))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetE, axiom, subsetE <=> 328.52/48.37 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 328.52/48.37 tff('21', plain, 328.52/48.37 subsetE = (![X4,X6,X8]: (subset(X4,X6) => (in(X8,X4) => in(X8,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 328.52/48.37 tff('22', plain, emptysetsubset = (![X4]: subset(emptyset,X4)), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetI2, axiom, subsetI2 <=> 328.52/48.37 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 328.52/48.37 tff('23', plain, 328.52/48.37 subsetI2 = 328.52/48.37 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 328.52/48.37 tff('24', plain, eqimpsubset1 = (![X4,X6]: ((X4 = X6) => subset(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 328.52/48.37 tff('25', plain, eqimpsubset2 = (![X4,X6]: ((X4 = X6) => subset(X6,X4))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(subsetI1, axiom, subsetI1 <=> 328.52/48.37 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 328.52/48.37 tff('26', plain, 328.52/48.37 subsetI1 = 328.52/48.37 (![X4,X6]: ((![X8]: (in(X8,X4) => in(X8,X6))) => subset(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 328.52/48.37 (![Xx,Xy]: 328.52/48.37 ((Xx = Xy) => 328.52/48.37 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 328.52/48.37 tff('27', plain, 328.52/48.37 setadjoin__Cong = 328.52/48.37 (![X4,X6]: 328.52/48.37 ((X4 = X6) => 328.52/48.37 (![X8,X10]: ((X8 = X10) => (setadjoin(X4,X8) = setadjoin(X6,X10)))))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(upairsetIR, axiom, upairsetIR <=> 328.52/48.37 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 328.52/48.37 tff('28', plain, 328.52/48.37 upairsetIR = (![X4,X6]: in(X6,setadjoin(X4,setadjoin(X6,emptyset)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(upairsetIL, axiom, upairsetIL <=> 328.52/48.37 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 328.52/48.37 tff('29', plain, 328.52/48.37 upairsetIL = (![X4,X6]: in(X4,setadjoin(X4,setadjoin(X6,emptyset)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(upairsetE, axiom, upairsetE <=> 328.52/48.37 (![Xx,Xy,Xz]: 328.52/48.37 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xx) | (Xz = Xy))))). 328.52/48.37 tff('30', plain, 328.52/48.37 upairsetE = 328.52/48.37 (![X4,X6,X8]: 328.52/48.37 (in(X8,setadjoin(X4,setadjoin(X6,emptyset))) => 328.52/48.37 ((X8 = X4) | (X8 = X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(singletonsswitch, axiom, singletonsswitch <=> 328.52/48.37 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 328.52/48.37 tff('31', plain, 328.52/48.37 singletonsswitch = 328.52/48.37 (![X4,X6]: 328.52/48.37 (in(X4,setadjoin(X6,emptyset)) => in(X6,setadjoin(X4,emptyset)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(eqinunit, axiom, eqinunit <=> 328.52/48.37 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 328.52/48.37 tff('32', plain, 328.52/48.37 eqinunit = (![X4,X6]: ((X4 = X6) => in(X4,setadjoin(X6,emptyset)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(notinsingleton, axiom, notinsingleton <=> 328.52/48.37 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 328.52/48.37 tff('33', plain, 328.52/48.37 notinsingleton = 328.52/48.37 (![X4,X6]: ((X4 != X6) => (~in(X6,setadjoin(X4,emptyset))))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(uniqinunit, axiom, uniqinunit <=> 328.52/48.37 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 328.52/48.37 tff('34', plain, 328.52/48.37 uniqinunit = (![X4,X6]: (in(X4,setadjoin(X6,emptyset)) => (X4 = X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinOr, axiom, setadjoinOr <=> 328.52/48.37 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => ((Xy = Xx) | in(Xy,A))))). 328.52/48.37 tff('35', plain, 328.52/48.37 setadjoinOr = 328.52/48.37 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) => ((X8 = X4) | in(X8,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinE, axiom, setadjoinE <=> 328.52/48.37 (![Xx,A,Xy]: 328.52/48.37 (in(Xy,setadjoin(Xx,A)) => 328.52/48.37 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 328.52/48.37 tff('36', plain, 328.52/48.37 setadjoinE = 328.52/48.37 (![X4,X6,X8]: 328.52/48.37 (in(X8,setadjoin(X4,X6)) => 328.52/48.37 (![X10:$o]: (((X8 = X4) => X10) => ((in(X8,X6) => X10) => X10))))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinIR, axiom, setadjoinIR <=> 328.52/48.37 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 328.52/48.37 tff('37', plain, 328.52/48.37 setadjoinIR = (![X4,X6,X8]: (in(X8,X6) => in(X8,setadjoin(X4,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(emptyinunitempty, axiom, emptyinunitempty() = 328.52/48.37 in(emptyset,setadjoin(emptyset,emptyset))). 328.52/48.37 tff('38', plain, 328.52/48.37 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 328.52/48.37 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 328.52/48.37 tff('39', plain, 328.52/48.37 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 328.52/48.37 tff('40', plain, setadjoinIL = (![X4,X6]: in(X4,setadjoin(X4,X6))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(setadjoinAx, axiom, setadjoinAx <=> 328.52/48.37 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> ((Xy = Xx) | in(Xy,A))))). 328.52/48.37 tff('41', plain, 328.52/48.37 setadjoinAx = 328.52/48.37 (![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> ((X8 = X4) | in(X8,X6)))), 328.52/48.37 define([status(thm)])). 328.52/48.37 tff(upairsubunion, conjecture, 328.52/48.37 (setextAx => 328.52/48.37 (emptysetAx => 328.52/48.37 (setadjoinAx => 328.52/48.37 (powersetAx => 328.52/48.37 (setunionAx => 328.52/48.37 (omega0Ax => 328.52/48.37 (omegaSAx => 328.52/48.37 (omegaIndAx => 328.52/48.37 (replAx => 328.52/48.37 (foundationAx => 328.52/48.37 (wellorderingAx => 328.52/48.37 (descrp => 328.52/48.37 (dsetconstrI => 328.52/48.37 (dsetconstrEL => 328.52/48.37 (dsetconstrER => 328.52/48.37 (exuE1 => 328.52/48.37 (prop2setE => 328.52/48.37 (emptysetE => 328.52/48.37 (emptysetimpfalse => 328.52/48.37 (notinemptyset => 328.52/48.37 (exuE3e => 328.52/48.37 (setext => 328.52/48.37 (emptyI => 328.52/48.37 (noeltsimpempty => 328.52/48.37 (setbeta => 328.52/48.37 (nonemptyE1 => 328.52/48.37 (nonemptyI => 328.52/48.37 (nonemptyI1 => 328.52/48.37 (setadjoinIL => 328.52/48.37 (emptyinunitempty => 328.52/48.37 (setadjoinIR => 328.52/48.37 (setadjoinE => 328.52/48.37 (setadjoinOr => 328.52/48.37 (setoftrueEq => 328.52/48.37 (powersetI => 328.52/48.37 (emptyinPowerset => 328.52/48.37 (emptyInPowerset => 328.52/48.37 (powersetE => 328.52/48.37 (setunionI => 328.52/48.37 (setunionE => 328.52/48.37 (subPowSU => 328.52/48.37 (exuE2 => 328.52/48.37 (nonemptyImpWitness => 328.52/48.37 (uniqinunit => 328.52/48.37 (notinsingleton => 328.52/48.37 (eqinunit => 328.52/48.37 (singletonsswitch => 328.52/48.37 (upairsetE => 328.52/48.37 (upairsetIL => 328.52/48.37 (upairsetIR => 328.52/48.37 (emptyE1 => 328.52/48.37 (vacuousDall => 328.52/48.37 (quantDeMorgan1 => 328.52/48.37 (quantDeMorgan2 => 328.52/48.37 (quantDeMorgan3 => 328.52/48.37 (quantDeMorgan4 => 328.52/48.37 (prop2setI => 328.52/48.37 (prop2set2propI => 328.52/48.37 (notdexE => 328.52/48.37 (notdallE => 328.52/48.37 (exuI1 => 328.52/48.37 (exuI3 => 328.52/48.37 (exuI2 => 328.52/48.37 (inCongP => 328.52/48.37 (in__Cong => 328.52/48.37 (exuE3u => 328.52/48.37 ( 328.52/48.37 exu__Cong => 328.52/48.37 ( 328.52/48.37 emptyset__Cong => 328.52/48.37 ( 328.52/48.37 setadjoin__Cong => 328.52/48.37 ( 328.52/48.37 powerset__Cong => 328.52/48.37 ( 328.52/48.37 setunion__Cong => 328.52/48.37 ( 328.52/48.37 omega__Cong => 328.52/48.37 ( 328.52/48.37 exuEu => 328.52/48.37 ( 328.52/48.37 descr__Cong => 328.52/48.37 ( 328.52/48.37 dsetconstr__Cong => 328.52/48.37 ( 328.52/48.37 subsetI1 => 328.52/48.37 ( 328.52/48.37 eqimpsubset2 => 328.52/48.37 ( 328.52/48.37 eqimpsubset1 => 328.52/48.37 ( 328.52/48.37 subsetI2 => 328.52/48.37 ( 328.52/48.37 emptysetsubset => 328.52/48.37 ( 328.52/48.37 subsetE => 328.52/48.37 ( 328.52/48.37 subsetE2 => 328.52/48.37 ( 328.52/48.37 notsubsetI => 328.52/48.37 ( 328.52/48.37 notequalI1 => 328.52/48.37 ( 328.52/48.37 notequalI2 => 328.52/48.37 ( 328.52/48.37 subsetRefl => 328.52/48.37 ( 328.52/48.37 subsetTrans => 328.52/48.37 ( 328.52/48.37 setadjoinSub => 328.52/48.37 ( 328.52/48.37 setadjoinSub2 => 328.52/48.37 ( 328.52/48.37 subset2powerset => 328.52/48.37 ( 328.52/48.37 setextsub => 328.52/48.37 ( 328.52/48.37 subsetemptysetimpeq => 328.52/48.37 ( 328.52/48.37 powersetI1 => 328.52/48.37 ( 328.52/48.37 powersetE1 => 328.52/48.37 ( 328.52/48.37 inPowerset => 328.52/48.37 ( 328.52/48.37 powersetsubset => 328.52/48.37 ( 328.52/48.37 sepInPowerset => 328.52/48.37 ( 328.52/48.37 sepSubset => 328.52/48.37 ( 328.52/48.37 binunionIL => 328.52/48.37 ( 328.52/48.37 upairset2IR => 328.52/48.37 ( 328.52/48.37 binunionIR => 328.52/48.37 ( 328.52/48.37 binunionEcases => 328.52/48.37 ( 328.52/48.37 binunionE => 328.52/48.37 ( 328.52/48.37 binunionLsub => 328.52/48.37 ( 328.52/48.37 binunionRsub => 328.52/48.37 ( 328.52/48.37 binintersectI => 328.52/48.37 ( 328.52/48.37 binintersectSubset5 => 328.52/48.37 ( 328.52/48.37 binintersectEL => 328.52/48.37 ( 328.52/48.37 binintersectLsub => 328.52/48.37 ( 328.52/48.37 binintersectSubset2 => 328.52/48.37 ( 328.52/48.37 binintersectSubset3 => 328.52/48.37 ( 328.52/48.37 binintersectER => 328.52/48.37 ( 328.52/48.37 disjointsetsI1 => 328.52/48.37 ( 328.52/48.37 binintersectRsub => 328.52/48.37 ( 328.52/48.37 binintersectSubset4 => 328.52/48.37 ( 328.52/48.37 binintersectSubset1 => 328.52/48.37 ( 328.52/48.37 bs114d => 328.52/48.37 ( 328.52/48.37 setminusI => 328.52/48.37 ( 328.52/48.37 setminusEL => 328.52/48.37 ( 328.52/48.37 setminusER => 328.52/48.37 ( 328.52/48.37 setminusSubset2 => 328.52/48.37 ( 328.52/48.37 setminusERneg => 328.52/48.37 ( 328.52/48.37 setminusELneg => 328.52/48.37 ( 328.52/48.37 setminusILneg => 328.52/48.37 ( 328.52/48.37 setminusIRneg => 328.52/48.37 ( 328.52/48.37 setminusLsub => 328.52/48.37 ( 328.52/48.37 setminusSubset1 => 328.52/48.37 ( 328.52/48.37 symdiffE => 328.52/48.37 ( 328.52/48.37 symdiffI1 => 328.52/48.37 ( 328.52/48.37 symdiffI2 => 328.52/48.37 ( 328.52/48.37 symdiffIneg1 => 328.52/48.37 ( 328.52/48.37 symdiffIneg2 => 328.52/48.37 ( 328.52/48.37 secondinupair => 328.52/48.37 ( 328.52/48.37 setukpairIL => 328.52/48.37 ( 328.52/48.37 setukpairIR => 328.52/48.37 ( 328.52/48.37 kpairiskpair => 328.52/48.37 ( 328.52/48.37 kpairp => 328.52/48.37 ( 328.52/48.37 singletonsubset => 328.52/48.37 ( 328.52/48.37 singletoninpowerset => 328.52/48.37 ( 328.52/48.37 singletoninpowunion => 328.52/48.37 ( 328.52/48.37 upairset2E => 328.52/48.37 ( 328.52/48.37 ![A,B,Xx]: 328.52/48.37 (in(Xx,A) => 328.52/48.37 (![Xy]: 328.52/48.37 (in(Xy,B) => 328.52/48.37 subset( 328.52/48.37 setadjoin( 328.52/48.37 Xx, 328.52/48.37 setadjoin( 328.52/48.37 Xy, 328.52/48.37 emptyset)), 328.52/48.37 binunion( 328.52/48.37 A,B)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 328.52/48.37 tff(zf_stmt_0, conjecture, 328.52/48.37 (setextAx => 328.52/48.37 (emptysetAx => 328.52/48.37 ((![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> (in(X8,X6) | (X8 = X4)))) => 328.52/48.37 (powersetAx => 328.52/48.37 (setunionAx => 328.52/48.37 (omega0Ax => 328.52/48.37 (omegaSAx => 328.52/48.37 (omegaIndAx => 328.52/48.37 (replAx => 328.52/48.37 (foundationAx => 328.52/48.37 (wellorderingAx => 328.52/48.37 (descrp => 328.52/48.37 (dsetconstrI => 328.52/48.37 (dsetconstrEL => 328.52/48.37 (dsetconstrER => 328.52/48.37 (exuE1 => 328.52/48.37 (prop2setE => 328.52/48.37 (emptysetE => 328.52/48.37 (emptysetimpfalse => 328.52/48.37 (notinemptyset => 328.52/48.37 (exuE3e => 328.52/48.37 (setext => 328.52/48.37 (emptyI => 328.52/48.37 (noeltsimpempty => 328.52/48.37 (setbeta => 328.52/48.37 (nonemptyE1 => 328.52/48.37 (nonemptyI => 328.52/48.37 (nonemptyI1 => 328.52/48.37 ((![X10,X12]: in(X10,setadjoin(X10,X12))) => 328.52/48.37 (in(emptyset,setadjoin(emptyset,emptyset)) => 328.52/48.37 ((![X14,X16,X18]: 328.52/48.37 (in(X18,X16) => 328.52/48.37 in(X18,setadjoin(X14,X16)))) => 328.52/48.37 ((![X20,X22,X24]: 328.52/48.37 (in(X24,setadjoin(X20,X22)) => 328.52/48.37 (![X26:$o]: 328.52/48.37 (((X24 = X20) => X26) => 328.52/48.37 ((in(X24,X22) => X26) => X26))))) => 328.52/48.37 ((![X28,X30,X32]: 328.52/48.37 (in(X32,setadjoin(X28,X30)) => 328.52/48.37 (in(X32,X30) | (X32 = X28)))) => 328.52/48.37 (setoftrueEq => 328.52/48.37 (powersetI => 328.52/48.37 (emptyinPowerset => 328.52/48.37 (emptyInPowerset => 328.52/48.37 (powersetE => 328.52/48.37 (setunionI => 328.52/48.37 (setunionE => 328.52/48.37 (subPowSU => 328.52/48.37 (exuE2 => 328.52/48.37 (nonemptyImpWitness => 328.52/48.37 ((![X34,X36]: 328.52/48.37 (in(X34, 328.52/48.37 setadjoin(X36,emptyset)) => 328.52/48.37 (X34 = X36))) => 328.52/48.37 ((![X38,X40]: 328.52/48.37 ((X38 != X40) => 328.52/48.37 (~ 328.52/48.37 in(X40, 328.52/48.37 setadjoin(X38, 328.52/48.37 emptyset))))) => 328.52/48.37 ((![X42,X44]: 328.52/48.37 ((X42 = X44) => 328.52/48.37 in(X42, 328.52/48.37 setadjoin(X44,emptyset)))) => 328.52/48.37 ((![X46,X48]: 328.52/48.37 (in(X46, 328.52/48.37 setadjoin(X48, 328.52/48.37 emptyset)) => 328.52/48.37 in(X48, 328.52/48.37 setadjoin(X46, 328.52/48.37 emptyset)))) => 328.52/48.37 ((![X50,X52,X54]: 328.52/48.37 (in(X54, 328.52/48.37 setadjoin(X50, 328.52/48.37 setadjoin( 328.52/48.37 X52, 328.52/48.37 emptyset))) => 328.52/48.37 ((X54 = X52) | 328.52/48.37 (X54 = X50)))) => 328.52/48.37 ((![X56,X58]: 328.52/48.37 in(X56, 328.52/48.37 setadjoin(X56, 328.52/48.37 setadjoin( 328.52/48.37 X58, 328.52/48.37 emptyset)))) => 328.52/48.37 ((![X60,X62]: 328.52/48.37 in(X62, 328.52/48.37 setadjoin(X60, 328.52/48.37 setadjoin( 328.52/48.37 X62, 328.52/48.37 emptyset)))) => 328.52/48.37 (emptyE1 => 328.52/48.37 (vacuousDall => 328.52/48.37 (quantDeMorgan1 => 328.52/48.37 (quantDeMorgan2 => 328.52/48.37 (quantDeMorgan3 => 328.52/48.37 (quantDeMorgan4 => 328.52/48.37 (prop2setI => 328.52/48.37 (prop2set2propI => 328.52/48.37 (notdexE => 328.52/48.37 (notdallE => 328.52/48.37 (exuI1 => 328.52/48.37 (exuI3 => 328.52/48.37 (exuI2 => 328.52/48.37 (inCongP => 328.52/48.37 (in__Cong => 328.52/48.37 (exuE3u => 328.52/48.37 ( 328.52/48.37 exu__Cong => 328.52/48.37 ( 328.52/48.37 emptyset__Cong => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X64,X66]: 328.52/48.37 (( 328.52/48.37 X64 = X66) => 328.52/48.37 (![X68, 328.52/48.37 X70]: 328.52/48.37 (( 328.52/48.37 X68 = X70) => 328.52/48.37 (setadjoin( 328.52/48.37 X64,X68) = 328.52/48.37 setadjoin( 328.52/48.37 X66,X70)))))) => 328.52/48.37 ( 328.52/48.37 powerset__Cong => 328.52/48.37 ( 328.52/48.37 setunion__Cong => 328.52/48.37 ( 328.52/48.37 omega__Cong => 328.52/48.37 ( 328.52/48.37 exuEu => 328.52/48.37 ( 328.52/48.37 descr__Cong => 328.52/48.37 ( 328.52/48.37 dsetconstr__Cong => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X72,X74]: 328.52/48.37 (( 328.52/48.37 ![X76]: 328.52/48.37 (in( 328.52/48.37 X76,X72) => 328.52/48.37 in( 328.52/48.37 X76,X74))) => 328.52/48.37 subset( 328.52/48.37 X72,X74))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X78,X80]: 328.52/48.37 (( 328.52/48.37 X78 = X80) => 328.52/48.37 subset( 328.52/48.37 X80,X78))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X82,X84]: 328.52/48.37 (( 328.52/48.37 X82 = X84) => 328.52/48.37 subset( 328.52/48.37 X82,X84))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X86,X88]: 328.52/48.37 (( 328.52/48.37 ![X90]: 328.52/48.37 (in( 328.52/48.37 X90,X86) => 328.52/48.37 in( 328.52/48.37 X90,X88))) => 328.52/48.37 subset( 328.52/48.37 X86,X88))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X92]: 328.52/48.37 subset( 328.52/48.37 emptyset, 328.52/48.37 X92)) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X94, 328.52/48.37 X96,X98]: 328.52/48.37 (subset( 328.52/48.37 X94,X96) => 328.52/48.37 (in( 328.52/48.37 X98,X94) => 328.52/48.37 in( 328.52/48.37 X98,X96)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X100, 328.52/48.37 X102,X104]: 328.52/48.37 (subset( 328.52/48.37 X100,X102) => 328.52/48.37 (( 328.52/48.37 ~ 328.52/48.37 in( 328.52/48.37 X104,X102)) => 328.52/48.37 (~ 328.52/48.37 in( 328.52/48.37 X104,X100))))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X106, 328.52/48.37 X108,X110]: 328.52/48.37 (in( 328.52/48.37 X110,X106) => 328.52/48.37 (( 328.52/48.37 ~ 328.52/48.37 in( 328.52/48.37 X110,X108)) => 328.52/48.37 (~ 328.52/48.37 subset( 328.52/48.37 X106,X108))))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X112, 328.52/48.37 X114]: 328.52/48.37 (( 328.52/48.37 ~ 328.52/48.37 subset( 328.52/48.37 X112,X114)) => 328.52/48.37 (X112 != 328.52/48.37 X114))) => 328.52/48.37 ( 328.52/48.37 notequalI2 => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X116]: 328.52/48.37 subset( 328.52/48.37 X116,X116)) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X118, 328.52/48.37 X120,X122]: 328.52/48.37 (subset( 328.52/48.37 X118,X120) => 328.52/48.37 (subset( 328.52/48.37 X120,X122) => 328.52/48.37 subset( 328.52/48.37 X118,X122)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X124, 328.52/48.37 X126]: 328.52/48.37 subset( 328.52/48.37 X126, 328.52/48.37 setadjoin( 328.52/48.37 X124,X126))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X128, 328.52/48.37 X130,X132]: 328.52/48.37 (subset( 328.52/48.37 X128,X132) => 328.52/48.37 subset( 328.52/48.37 X128, 328.52/48.37 setadjoin( 328.52/48.37 X130,X132)))) => 328.52/48.37 ( 328.52/48.37 subset2powerset => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X134, 328.52/48.37 X136]: 328.52/48.37 (subset( 328.52/48.37 X134,X136) => 328.52/48.37 (subset( 328.52/48.37 X136,X134) => 328.52/48.37 (X134 = 328.52/48.37 X136)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X138]: 328.52/48.37 (subset( 328.52/48.37 X138, 328.52/48.37 emptyset) => 328.52/48.37 (X138 = 328.52/48.37 emptyset))) => 328.52/48.37 ( 328.52/48.37 powersetI1 => 328.52/48.37 ( 328.52/48.37 powersetE1 => 328.52/48.37 ( 328.52/48.37 inPowerset => 328.52/48.37 ( 328.52/48.37 powersetsubset => 328.52/48.37 ( 328.52/48.37 sepInPowerset => 328.52/48.37 ( 328.52/48.37 sepSubset => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X140, 328.52/48.37 X142,X144]: 328.52/48.37 (in( 328.52/48.37 X144,X140) => 328.52/48.37 in( 328.52/48.37 X144, 328.52/48.37 binunion( 328.52/48.37 X140,X142)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X146, 328.52/48.37 X148]: 328.52/48.37 in( 328.52/48.37 X148, 328.52/48.37 setadjoin( 328.52/48.37 X146, 328.52/48.37 setadjoin( 328.52/48.37 X148, 328.52/48.37 emptyset)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X150, 328.52/48.37 X152,X154]: 328.52/48.37 (in( 328.52/48.37 X154,X152) => 328.52/48.37 in( 328.52/48.37 X154, 328.52/48.37 binunion( 328.52/48.37 X150,X152)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X156, 328.52/48.37 X158, 328.52/48.37 X160, 328.52/48.37 X162:$o]: 328.52/48.37 (in( 328.52/48.37 X160, 328.52/48.37 binunion( 328.52/48.37 X156,X158)) => 328.52/48.37 (( 328.52/48.37 in( 328.52/48.37 X160,X156) => 328.52/48.37 X162) => 328.52/48.37 (( 328.52/48.37 in( 328.52/48.37 X160,X158) => 328.52/48.37 X162) => 328.52/48.37 X162)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X164, 328.52/48.37 X166,X168]: 328.52/48.37 (in( 328.52/48.37 X168, 328.52/48.37 binunion( 328.52/48.37 X164,X166)) => 328.52/48.37 (in( 328.52/48.37 X168,X166) | 328.52/48.37 in( 328.52/48.37 X168,X164)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X170, 328.52/48.37 X172]: 328.52/48.37 subset( 328.52/48.37 X170, 328.52/48.37 binunion( 328.52/48.37 X170,X172))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X174, 328.52/48.37 X176]: 328.52/48.37 subset( 328.52/48.37 X176, 328.52/48.37 binunion( 328.52/48.37 X174,X176))) => 328.52/48.37 ( 328.52/48.37 binintersectI => 328.52/48.37 ( 328.52/48.37 binintersectSubset5 => 328.52/48.37 ( 328.52/48.37 binintersectEL => 328.52/48.37 ( 328.52/48.37 binintersectLsub => 328.52/48.37 ( 328.52/48.37 binintersectSubset2 => 328.52/48.37 ( 328.52/48.37 binintersectSubset3 => 328.52/48.37 ( 328.52/48.37 binintersectER => 328.52/48.37 ( 328.52/48.37 disjointsetsI1 => 328.52/48.37 ( 328.52/48.37 binintersectRsub => 328.52/48.37 ( 328.52/48.37 binintersectSubset4 => 328.52/48.37 ( 328.52/48.37 binintersectSubset1 => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X178, 328.52/48.37 X180,X182]: 328.52/48.37 (binintersect( 328.52/48.37 X178, 328.52/48.37 binunion( 328.52/48.37 X180,X182)) = 328.52/48.37 binunion( 328.52/48.37 binintersect( 328.52/48.37 X178,X180), 328.52/48.37 binintersect( 328.52/48.37 X178,X182)))) => 328.52/48.37 ( 328.52/48.37 setminusI => 328.52/48.37 ( 328.52/48.37 setminusEL => 328.52/48.37 ( 328.52/48.37 setminusER => 328.52/48.37 ( 328.52/48.37 setminusSubset2 => 328.52/48.37 ( 328.52/48.37 setminusERneg => 328.52/48.37 ( 328.52/48.37 setminusELneg => 328.52/48.37 ( 328.52/48.37 setminusILneg => 328.52/48.37 ( 328.52/48.37 setminusIRneg => 328.52/48.37 ( 328.52/48.37 setminusLsub => 328.52/48.37 ( 328.52/48.37 setminusSubset1 => 328.52/48.37 ( 328.52/48.37 symdiffE => 328.52/48.37 ( 328.52/48.37 symdiffI1 => 328.52/48.37 ( 328.52/48.37 symdiffI2 => 328.52/48.37 ( 328.52/48.37 symdiffIneg1 => 328.52/48.37 ( 328.52/48.37 symdiffIneg2 => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X184, 328.52/48.37 X186]: 328.52/48.37 in( 328.52/48.37 X186, 328.52/48.37 setadjoin( 328.52/48.37 X184, 328.52/48.37 setadjoin( 328.52/48.37 X186, 328.52/48.37 emptyset)))) => 328.52/48.37 ( 328.52/48.37 setukpairIL => 328.52/48.37 ( 328.52/48.37 setukpairIR => 328.52/48.37 ( 328.52/48.37 kpairiskpair => 328.52/48.37 ( 328.52/48.37 kpairp => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X188, 328.52/48.37 X190]: 328.52/48.37 (in( 328.52/48.37 X190,X188) => 328.52/48.37 subset( 328.52/48.37 setadjoin( 328.52/48.37 X190, 328.52/48.37 emptyset), 328.52/48.37 X188))) => 328.52/48.37 ( 328.52/48.37 singletoninpowerset => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X192, 328.52/48.37 X194,X196]: 328.52/48.37 (in( 328.52/48.37 X196,X192) => 328.52/48.37 in( 328.52/48.37 setadjoin( 328.52/48.37 X196, 328.52/48.37 emptyset), 328.52/48.37 powerset( 328.52/48.37 binunion( 328.52/48.37 X192,X194))))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X198, 328.52/48.37 X200,X202]: 328.52/48.37 (in( 328.52/48.37 X202, 328.52/48.37 setadjoin( 328.52/48.37 X198, 328.52/48.37 setadjoin( 328.52/48.37 X200, 328.52/48.37 emptyset))) => 328.52/48.37 (( 328.52/48.37 X202 = 328.52/48.37 X200) | 328.52/48.37 (X202 = 328.52/48.37 X198)))) => 328.52/48.37 ( 328.52/48.37 ![X204, 328.52/48.37 X206,X208]: 328.52/48.37 (in( 328.52/48.37 X208,X204) => 328.52/48.37 (![X210]: 328.52/48.37 (in( 328.52/48.37 X210,X206) => 328.52/48.37 subset( 328.52/48.37 setadjoin( 328.52/48.37 X208, 328.52/48.37 setadjoin( 328.52/48.37 X210, 328.52/48.37 emptyset)), 328.52/48.37 binunion( 328.52/48.37 X204,X206)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 328.52/48.37 tff(zf_stmt_1, type, zip_tseitin_0 : ($i * $i * $i) > $o). 328.52/48.37 tff(zf_stmt_2, axiom, (zip_tseitin_0(X8,X6,X4) <=> ((X8 = X4) | in(X8,X6)))). 328.52/48.37 tff(zf_stmt_3, conjecture, 328.52/48.37 (setextAx => 328.52/48.37 (emptysetAx => 328.52/48.37 ((![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> zip_tseitin_0(X8,X6,X4))) => 328.52/48.37 (powersetAx => 328.52/48.37 (setunionAx => 328.52/48.37 (omega0Ax => 328.52/48.37 (omegaSAx => 328.52/48.37 (omegaIndAx => 328.52/48.37 (replAx => 328.52/48.37 (foundationAx => 328.52/48.37 (wellorderingAx => 328.52/48.37 (descrp => 328.52/48.37 (dsetconstrI => 328.52/48.37 (dsetconstrEL => 328.52/48.37 (dsetconstrER => 328.52/48.37 (exuE1 => 328.52/48.37 (prop2setE => 328.52/48.37 (emptysetE => 328.52/48.37 (emptysetimpfalse => 328.52/48.37 (notinemptyset => 328.52/48.37 (exuE3e => 328.52/48.37 (setext => 328.52/48.37 (emptyI => 328.52/48.37 (noeltsimpempty => 328.52/48.37 (setbeta => 328.52/48.37 (nonemptyE1 => 328.52/48.37 (nonemptyI => 328.52/48.37 (nonemptyI1 => 328.52/48.37 ((![X10,X12]: in(X10,setadjoin(X10,X12))) => 328.52/48.37 (in(emptyset,setadjoin(emptyset,emptyset)) => 328.52/48.37 ((![X14,X16,X18]: 328.52/48.37 (in(X18,X16) => 328.52/48.37 in(X18,setadjoin(X14,X16)))) => 328.52/48.37 ((![X20,X22,X24]: 328.52/48.37 (in(X24,setadjoin(X20,X22)) => 328.52/48.37 (![X26:$o]: 328.52/48.37 (((X24 = X20) => X26) => 328.52/48.37 ((in(X24,X22) => X26) => X26))))) => 328.52/48.37 ((![X28,X30,X32]: 328.52/48.37 (in(X32,setadjoin(X28,X30)) => 328.52/48.37 ((X32 = X28) | in(X32,X30)))) => 328.52/48.37 (setoftrueEq => 328.52/48.37 (powersetI => 328.52/48.37 (emptyinPowerset => 328.52/48.37 (emptyInPowerset => 328.52/48.37 (powersetE => 328.52/48.37 (setunionI => 328.52/48.37 (setunionE => 328.52/48.37 (subPowSU => 328.52/48.37 (exuE2 => 328.52/48.37 (nonemptyImpWitness => 328.52/48.37 ((![X34,X36]: 328.52/48.37 (in(X34, 328.52/48.37 setadjoin(X36,emptyset)) => 328.52/48.37 (X34 = X36))) => 328.52/48.37 ((![X38,X40]: 328.52/48.37 ((X38 != X40) => 328.52/48.37 (~ 328.52/48.37 in(X40, 328.52/48.37 setadjoin(X38, 328.52/48.37 emptyset))))) => 328.52/48.37 ((![X42,X44]: 328.52/48.37 ((X42 = X44) => 328.52/48.37 in(X42, 328.52/48.37 setadjoin(X44,emptyset)))) => 328.52/48.37 ((![X46,X48]: 328.52/48.37 (in(X46, 328.52/48.37 setadjoin(X48, 328.52/48.37 emptyset)) => 328.52/48.37 in(X48, 328.52/48.37 setadjoin(X46, 328.52/48.37 emptyset)))) => 328.52/48.37 ((![X50,X52,X54]: 328.52/48.37 (in(X54, 328.52/48.37 setadjoin(X50, 328.52/48.37 setadjoin( 328.52/48.37 X52, 328.52/48.37 emptyset))) => 328.52/48.37 ((X54 = X50) | 328.52/48.37 (X54 = X52)))) => 328.52/48.37 ((![X56,X58]: 328.52/48.37 in(X56, 328.52/48.37 setadjoin(X56, 328.52/48.37 setadjoin( 328.52/48.37 X58, 328.52/48.37 emptyset)))) => 328.52/48.37 ((![X60,X62]: 328.52/48.37 in(X62, 328.52/48.37 setadjoin(X60, 328.52/48.37 setadjoin( 328.52/48.37 X62, 328.52/48.37 emptyset)))) => 328.52/48.37 (emptyE1 => 328.52/48.37 (vacuousDall => 328.52/48.37 (quantDeMorgan1 => 328.52/48.37 (quantDeMorgan2 => 328.52/48.37 (quantDeMorgan3 => 328.52/48.37 (quantDeMorgan4 => 328.52/48.37 (prop2setI => 328.52/48.37 (prop2set2propI => 328.52/48.37 (notdexE => 328.52/48.37 (notdallE => 328.52/48.37 (exuI1 => 328.52/48.37 (exuI3 => 328.52/48.37 (exuI2 => 328.52/48.37 (inCongP => 328.52/48.37 (in__Cong => 328.52/48.37 (exuE3u => 328.52/48.37 ( 328.52/48.37 exu__Cong => 328.52/48.37 ( 328.52/48.37 emptyset__Cong => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X64,X66]: 328.52/48.37 (( 328.52/48.37 X64 = X66) => 328.52/48.37 (![X68, 328.52/48.37 X70]: 328.52/48.37 (( 328.52/48.37 X68 = X70) => 328.52/48.37 (setadjoin( 328.52/48.37 X64,X68) = 328.52/48.37 setadjoin( 328.52/48.37 X66,X70)))))) => 328.52/48.37 ( 328.52/48.37 powerset__Cong => 328.52/48.37 ( 328.52/48.37 setunion__Cong => 328.52/48.37 ( 328.52/48.37 omega__Cong => 328.52/48.37 ( 328.52/48.37 exuEu => 328.52/48.37 ( 328.52/48.37 descr__Cong => 328.52/48.37 ( 328.52/48.37 dsetconstr__Cong => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X72,X74]: 328.52/48.37 (( 328.52/48.37 ![X76]: 328.52/48.37 (in( 328.52/48.37 X76,X72) => 328.52/48.37 in( 328.52/48.37 X76,X74))) => 328.52/48.37 subset( 328.52/48.37 X72,X74))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X78,X80]: 328.52/48.37 (( 328.52/48.37 X78 = X80) => 328.52/48.37 subset( 328.52/48.37 X80,X78))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X82,X84]: 328.52/48.37 (( 328.52/48.37 X82 = X84) => 328.52/48.37 subset( 328.52/48.37 X82,X84))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X86,X88]: 328.52/48.37 (( 328.52/48.37 ![X90]: 328.52/48.37 (in( 328.52/48.37 X90,X86) => 328.52/48.37 in( 328.52/48.37 X90,X88))) => 328.52/48.37 subset( 328.52/48.37 X86,X88))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X92]: 328.52/48.37 subset( 328.52/48.37 emptyset, 328.52/48.37 X92)) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X94, 328.52/48.37 X96,X98]: 328.52/48.37 (subset( 328.52/48.37 X94,X96) => 328.52/48.37 (in( 328.52/48.37 X98,X94) => 328.52/48.37 in( 328.52/48.37 X98,X96)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X100, 328.52/48.37 X102,X104]: 328.52/48.37 (subset( 328.52/48.37 X100,X102) => 328.52/48.37 (( 328.52/48.37 ~ 328.52/48.37 in( 328.52/48.37 X104,X102)) => 328.52/48.37 (~ 328.52/48.37 in( 328.52/48.37 X104,X100))))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X106, 328.52/48.37 X108,X110]: 328.52/48.37 (in( 328.52/48.37 X110,X106) => 328.52/48.37 (( 328.52/48.37 ~ 328.52/48.37 in( 328.52/48.37 X110,X108)) => 328.52/48.37 (~ 328.52/48.37 subset( 328.52/48.37 X106,X108))))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X112, 328.52/48.37 X114]: 328.52/48.37 (( 328.52/48.37 ~ 328.52/48.37 subset( 328.52/48.37 X112,X114)) => 328.52/48.37 (X112 != 328.52/48.37 X114))) => 328.52/48.37 ( 328.52/48.37 notequalI2 => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X116]: 328.52/48.37 subset( 328.52/48.37 X116,X116)) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X118, 328.52/48.37 X120,X122]: 328.52/48.37 (subset( 328.52/48.37 X118,X120) => 328.52/48.37 (subset( 328.52/48.37 X120,X122) => 328.52/48.37 subset( 328.52/48.37 X118,X122)))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X124, 328.52/48.37 X126]: 328.52/48.37 subset( 328.52/48.37 X126, 328.52/48.37 setadjoin( 328.52/48.37 X124,X126))) => 328.52/48.37 ( 328.52/48.37 ( 328.52/48.37 ![X128, 328.52/48.37 X130,X132]: 328.52/48.38 (subset( 328.52/48.38 X128,X132) => 328.52/48.38 subset( 328.52/48.38 X128, 328.52/48.38 setadjoin( 328.52/48.38 X130,X132)))) => 328.52/48.38 ( 328.52/48.38 subset2powerset => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X134, 328.52/48.38 X136]: 328.52/48.38 (subset( 328.52/48.38 X134,X136) => 328.52/48.38 (subset( 328.52/48.38 X136,X134) => 328.52/48.38 (X134 = 328.52/48.38 X136)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X138]: 328.52/48.38 (subset( 328.52/48.38 X138, 328.52/48.38 emptyset) => 328.52/48.38 (X138 = 328.52/48.38 emptyset))) => 328.52/48.38 ( 328.52/48.38 powersetI1 => 328.52/48.38 ( 328.52/48.38 powersetE1 => 328.52/48.38 ( 328.52/48.38 inPowerset => 328.52/48.38 ( 328.52/48.38 powersetsubset => 328.52/48.38 ( 328.52/48.38 sepInPowerset => 328.52/48.38 ( 328.52/48.38 sepSubset => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X140, 328.52/48.38 X142,X144]: 328.52/48.38 (in( 328.52/48.38 X144,X140) => 328.52/48.38 in( 328.52/48.38 X144, 328.52/48.38 binunion( 328.52/48.38 X140,X142)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X146, 328.52/48.38 X148]: 328.52/48.38 in( 328.52/48.38 X148, 328.52/48.38 setadjoin( 328.52/48.38 X146, 328.52/48.38 setadjoin( 328.52/48.38 X148, 328.52/48.38 emptyset)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X150, 328.52/48.38 X152,X154]: 328.52/48.38 (in( 328.52/48.38 X154,X152) => 328.52/48.38 in( 328.52/48.38 X154, 328.52/48.38 binunion( 328.52/48.38 X150,X152)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X156, 328.52/48.38 X158, 328.52/48.38 X160, 328.52/48.38 X162:$o]: 328.52/48.38 (in( 328.52/48.38 X160, 328.52/48.38 binunion( 328.52/48.38 X156,X158)) => 328.52/48.38 (( 328.52/48.38 in( 328.52/48.38 X160,X156) => 328.52/48.38 X162) => 328.52/48.38 (( 328.52/48.38 in( 328.52/48.38 X160,X158) => 328.52/48.38 X162) => 328.52/48.38 X162)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X164, 328.52/48.38 X166,X168]: 328.52/48.38 (in( 328.52/48.38 X168, 328.52/48.38 binunion( 328.52/48.38 X164,X166)) => 328.52/48.38 (in( 328.52/48.38 X168,X164) | 328.52/48.38 in( 328.52/48.38 X168,X166)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X170, 328.52/48.38 X172]: 328.52/48.38 subset( 328.52/48.38 X170, 328.52/48.38 binunion( 328.52/48.38 X170,X172))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X174, 328.52/48.38 X176]: 328.52/48.38 subset( 328.52/48.38 X176, 328.52/48.38 binunion( 328.52/48.38 X174,X176))) => 328.52/48.38 ( 328.52/48.38 binintersectI => 328.52/48.38 ( 328.52/48.38 binintersectSubset5 => 328.52/48.38 ( 328.52/48.38 binintersectEL => 328.52/48.38 ( 328.52/48.38 binintersectLsub => 328.52/48.38 ( 328.52/48.38 binintersectSubset2 => 328.52/48.38 ( 328.52/48.38 binintersectSubset3 => 328.52/48.38 ( 328.52/48.38 binintersectER => 328.52/48.38 ( 328.52/48.38 disjointsetsI1 => 328.52/48.38 ( 328.52/48.38 binintersectRsub => 328.52/48.38 ( 328.52/48.38 binintersectSubset4 => 328.52/48.38 ( 328.52/48.38 binintersectSubset1 => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X178, 328.52/48.38 X180,X182]: 328.52/48.38 (binintersect( 328.52/48.38 X178, 328.52/48.38 binunion( 328.52/48.38 X180,X182)) = 328.52/48.38 binunion( 328.52/48.38 binintersect( 328.52/48.38 X178,X180), 328.52/48.38 binintersect( 328.52/48.38 X178,X182)))) => 328.52/48.38 ( 328.52/48.38 setminusI => 328.52/48.38 ( 328.52/48.38 setminusEL => 328.52/48.38 ( 328.52/48.38 setminusER => 328.52/48.38 ( 328.52/48.38 setminusSubset2 => 328.52/48.38 ( 328.52/48.38 setminusERneg => 328.52/48.38 ( 328.52/48.38 setminusELneg => 328.52/48.38 ( 328.52/48.38 setminusILneg => 328.52/48.38 ( 328.52/48.38 setminusIRneg => 328.52/48.38 ( 328.52/48.38 setminusLsub => 328.52/48.38 ( 328.52/48.38 setminusSubset1 => 328.52/48.38 ( 328.52/48.38 symdiffE => 328.52/48.38 ( 328.52/48.38 symdiffI1 => 328.52/48.38 ( 328.52/48.38 symdiffI2 => 328.52/48.38 ( 328.52/48.38 symdiffIneg1 => 328.52/48.38 ( 328.52/48.38 symdiffIneg2 => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X184, 328.52/48.38 X186]: 328.52/48.38 in( 328.52/48.38 X186, 328.52/48.38 setadjoin( 328.52/48.38 X184, 328.52/48.38 setadjoin( 328.52/48.38 X186, 328.52/48.38 emptyset)))) => 328.52/48.38 ( 328.52/48.38 setukpairIL => 328.52/48.38 ( 328.52/48.38 setukpairIR => 328.52/48.38 ( 328.52/48.38 kpairiskpair => 328.52/48.38 ( 328.52/48.38 kpairp => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X188, 328.52/48.38 X190]: 328.52/48.38 (in( 328.52/48.38 X190,X188) => 328.52/48.38 subset( 328.52/48.38 setadjoin( 328.52/48.38 X190, 328.52/48.38 emptyset), 328.52/48.38 X188))) => 328.52/48.38 ( 328.52/48.38 singletoninpowerset => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X192, 328.52/48.38 X194,X196]: 328.52/48.38 (in( 328.52/48.38 X196,X192) => 328.52/48.38 in( 328.52/48.38 setadjoin( 328.52/48.38 X196, 328.52/48.38 emptyset), 328.52/48.38 powerset( 328.52/48.38 binunion( 328.52/48.38 X192,X194))))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X198, 328.52/48.38 X200,X202]: 328.52/48.38 (in( 328.52/48.38 X202, 328.52/48.38 setadjoin( 328.52/48.38 X198, 328.52/48.38 setadjoin( 328.52/48.38 X200, 328.52/48.38 emptyset))) => 328.52/48.38 (( 328.52/48.38 X202 = 328.52/48.38 X198) | 328.52/48.38 (X202 = 328.52/48.38 X200)))) => 328.52/48.38 ( 328.52/48.38 ![X204, 328.52/48.38 X206,X208]: 328.52/48.38 (in( 328.52/48.38 X208,X204) => 328.52/48.38 (![X210]: 328.52/48.38 (in( 328.52/48.38 X210,X206) => 328.52/48.38 subset( 328.52/48.38 setadjoin( 328.52/48.38 X208, 328.52/48.38 setadjoin( 328.52/48.38 X210, 328.52/48.38 emptyset)), 328.52/48.38 binunion( 328.52/48.38 X204,X206)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 328.52/48.38 tff(zf_stmt_4, negated_conjecture, 328.52/48.38 (~ 328.52/48.38 (setextAx => 328.52/48.38 (emptysetAx => 328.52/48.38 ((![X4,X6,X8]: (in(X8,setadjoin(X4,X6)) <=> zip_tseitin_0(X8,X6,X4))) => 328.52/48.38 (powersetAx => 328.52/48.38 (setunionAx => 328.52/48.38 (omega0Ax => 328.52/48.38 (omegaSAx => 328.52/48.38 (omegaIndAx => 328.52/48.38 (replAx => 328.52/48.38 (foundationAx => 328.52/48.38 (wellorderingAx => 328.52/48.38 (descrp => 328.52/48.38 (dsetconstrI => 328.52/48.38 (dsetconstrEL => 328.52/48.38 (dsetconstrER => 328.52/48.38 (exuE1 => 328.52/48.38 (prop2setE => 328.52/48.38 (emptysetE => 328.52/48.38 (emptysetimpfalse => 328.52/48.38 (notinemptyset => 328.52/48.38 (exuE3e => 328.52/48.38 (setext => 328.52/48.38 (emptyI => 328.52/48.38 (noeltsimpempty => 328.52/48.38 (setbeta => 328.52/48.38 (nonemptyE1 => 328.52/48.38 (nonemptyI => 328.52/48.38 (nonemptyI1 => 328.52/48.38 ((![X10,X12]: in(X10,setadjoin(X10,X12))) => 328.52/48.38 (in(emptyset,setadjoin(emptyset,emptyset)) => 328.52/48.38 ((![X14,X16,X18]: 328.52/48.38 (in(X18,X16) => 328.52/48.38 in(X18,setadjoin(X14,X16)))) => 328.52/48.38 ((![X20,X22,X24]: 328.52/48.38 (in(X24,setadjoin(X20,X22)) => 328.52/48.38 (![X26:$o]: 328.52/48.38 (((X24 = X20) => X26) => 328.52/48.38 ((in(X24,X22) => X26) => X26))))) => 328.52/48.38 ((![X28,X30,X32]: 328.52/48.38 (in(X32,setadjoin(X28,X30)) => 328.52/48.38 ((X32 = X28) | in(X32,X30)))) => 328.52/48.38 (setoftrueEq => 328.52/48.38 (powersetI => 328.52/48.38 (emptyinPowerset => 328.52/48.38 (emptyInPowerset => 328.52/48.38 (powersetE => 328.52/48.38 (setunionI => 328.52/48.38 (setunionE => 328.52/48.38 (subPowSU => 328.52/48.38 (exuE2 => 328.52/48.38 (nonemptyImpWitness => 328.52/48.38 ((![X34,X36]: 328.52/48.38 (in(X34, 328.52/48.38 setadjoin(X36,emptyset)) => 328.52/48.38 (X34 = X36))) => 328.52/48.38 ((![X38,X40]: 328.52/48.38 ((X38 != X40) => 328.52/48.38 (~ 328.52/48.38 in(X40, 328.52/48.38 setadjoin(X38, 328.52/48.38 emptyset))))) => 328.52/48.38 ((![X42,X44]: 328.52/48.38 ((X42 = X44) => 328.52/48.38 in(X42, 328.52/48.38 setadjoin(X44, 328.52/48.38 emptyset)))) => 328.52/48.38 ((![X46,X48]: 328.52/48.38 (in(X46, 328.52/48.38 setadjoin(X48, 328.52/48.38 emptyset)) => 328.52/48.38 in(X48, 328.52/48.38 setadjoin(X46, 328.52/48.38 emptyset)))) => 328.52/48.38 ((![X50,X52,X54]: 328.52/48.38 (in(X54, 328.52/48.38 setadjoin( 328.52/48.38 X50, 328.52/48.38 setadjoin( 328.52/48.38 X52,emptyset))) => 328.52/48.38 ((X54 = X50) | 328.52/48.38 (X54 = X52)))) => 328.52/48.38 ((![X56,X58]: 328.52/48.38 in(X56, 328.52/48.38 setadjoin( 328.52/48.38 X56, 328.52/48.38 setadjoin( 328.52/48.38 X58,emptyset)))) => 328.52/48.38 ((![X60,X62]: 328.52/48.38 in(X62, 328.52/48.38 setadjoin( 328.52/48.38 X60, 328.52/48.38 setadjoin( 328.52/48.38 X62,emptyset)))) => 328.52/48.38 (emptyE1 => 328.52/48.38 (vacuousDall => 328.52/48.38 (quantDeMorgan1 => 328.52/48.38 (quantDeMorgan2 => 328.52/48.38 (quantDeMorgan3 => 328.52/48.38 (quantDeMorgan4 => 328.52/48.38 (prop2setI => 328.52/48.38 (prop2set2propI => 328.52/48.38 (notdexE => 328.52/48.38 (notdallE => 328.52/48.38 (exuI1 => 328.52/48.38 (exuI3 => 328.52/48.38 (exuI2 => 328.52/48.38 (inCongP => 328.52/48.38 ( 328.52/48.38 in__Cong => 328.52/48.38 ( 328.52/48.38 exuE3u => 328.52/48.38 ( 328.52/48.38 exu__Cong => 328.52/48.38 ( 328.52/48.38 emptyset__Cong => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X64,X66]: 328.52/48.38 (( 328.52/48.38 X64 = X66) => 328.52/48.38 (![X68, 328.52/48.38 X70]: 328.52/48.38 (( 328.52/48.38 X68 = X70) => 328.52/48.38 (setadjoin( 328.52/48.38 X64,X68) = 328.52/48.38 setadjoin( 328.52/48.38 X66,X70)))))) => 328.52/48.38 ( 328.52/48.38 powerset__Cong => 328.52/48.38 ( 328.52/48.38 setunion__Cong => 328.52/48.38 ( 328.52/48.38 omega__Cong => 328.52/48.38 ( 328.52/48.38 exuEu => 328.52/48.38 ( 328.52/48.38 descr__Cong => 328.52/48.38 ( 328.52/48.38 dsetconstr__Cong => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X72,X74]: 328.52/48.38 (( 328.52/48.38 ![X76]: 328.52/48.38 (in( 328.52/48.38 X76,X72) => 328.52/48.38 in( 328.52/48.38 X76,X74))) => 328.52/48.38 subset( 328.52/48.38 X72,X74))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X78,X80]: 328.52/48.38 (( 328.52/48.38 X78 = X80) => 328.52/48.38 subset( 328.52/48.38 X80,X78))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X82,X84]: 328.52/48.38 (( 328.52/48.38 X82 = X84) => 328.52/48.38 subset( 328.52/48.38 X82,X84))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X86,X88]: 328.52/48.38 (( 328.52/48.38 ![X90]: 328.52/48.38 (in( 328.52/48.38 X90,X86) => 328.52/48.38 in( 328.52/48.38 X90,X88))) => 328.52/48.38 subset( 328.52/48.38 X86,X88))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X92]: 328.52/48.38 subset( 328.52/48.38 emptyset, 328.52/48.38 X92)) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X94, 328.52/48.38 X96,X98]: 328.52/48.38 (subset( 328.52/48.38 X94,X96) => 328.52/48.38 (in( 328.52/48.38 X98,X94) => 328.52/48.38 in( 328.52/48.38 X98,X96)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X100, 328.52/48.38 X102,X104]: 328.52/48.38 (subset( 328.52/48.38 X100,X102) => 328.52/48.38 (( 328.52/48.38 ~ 328.52/48.38 in( 328.52/48.38 X104,X102)) => 328.52/48.38 (~ 328.52/48.38 in( 328.52/48.38 X104,X100))))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X106, 328.52/48.38 X108,X110]: 328.52/48.38 (in( 328.52/48.38 X110,X106) => 328.52/48.38 (( 328.52/48.38 ~ 328.52/48.38 in( 328.52/48.38 X110,X108)) => 328.52/48.38 (~ 328.52/48.38 subset( 328.52/48.38 X106,X108))))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X112, 328.52/48.38 X114]: 328.52/48.38 (( 328.52/48.38 ~ 328.52/48.38 subset( 328.52/48.38 X112,X114)) => 328.52/48.38 (X112 != 328.52/48.38 X114))) => 328.52/48.38 ( 328.52/48.38 notequalI2 => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X116]: 328.52/48.38 subset( 328.52/48.38 X116,X116)) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X118, 328.52/48.38 X120,X122]: 328.52/48.38 (subset( 328.52/48.38 X118,X120) => 328.52/48.38 (subset( 328.52/48.38 X120,X122) => 328.52/48.38 subset( 328.52/48.38 X118,X122)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X124, 328.52/48.38 X126]: 328.52/48.38 subset( 328.52/48.38 X126, 328.52/48.38 setadjoin( 328.52/48.38 X124,X126))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X128, 328.52/48.38 X130,X132]: 328.52/48.38 (subset( 328.52/48.38 X128,X132) => 328.52/48.38 subset( 328.52/48.38 X128, 328.52/48.38 setadjoin( 328.52/48.38 X130,X132)))) => 328.52/48.38 ( 328.52/48.38 subset2powerset => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X134, 328.52/48.38 X136]: 328.52/48.38 (subset( 328.52/48.38 X134,X136) => 328.52/48.38 (subset( 328.52/48.38 X136,X134) => 328.52/48.38 (X134 = 328.52/48.38 X136)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X138]: 328.52/48.38 (subset( 328.52/48.38 X138, 328.52/48.38 emptyset) => 328.52/48.38 (X138 = 328.52/48.38 emptyset))) => 328.52/48.38 ( 328.52/48.38 powersetI1 => 328.52/48.38 ( 328.52/48.38 powersetE1 => 328.52/48.38 ( 328.52/48.38 inPowerset => 328.52/48.38 ( 328.52/48.38 powersetsubset => 328.52/48.38 ( 328.52/48.38 sepInPowerset => 328.52/48.38 ( 328.52/48.38 sepSubset => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X140, 328.52/48.38 X142,X144]: 328.52/48.38 (in( 328.52/48.38 X144,X140) => 328.52/48.38 in( 328.52/48.38 X144, 328.52/48.38 binunion( 328.52/48.38 X140,X142)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X146, 328.52/48.38 X148]: 328.52/48.38 in( 328.52/48.38 X148, 328.52/48.38 setadjoin( 328.52/48.38 X146, 328.52/48.38 setadjoin( 328.52/48.38 X148, 328.52/48.38 emptyset)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X150, 328.52/48.38 X152,X154]: 328.52/48.38 (in( 328.52/48.38 X154,X152) => 328.52/48.38 in( 328.52/48.38 X154, 328.52/48.38 binunion( 328.52/48.38 X150,X152)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X156, 328.52/48.38 X158, 328.52/48.38 X160, 328.52/48.38 X162:$o]: 328.52/48.38 (in( 328.52/48.38 X160, 328.52/48.38 binunion( 328.52/48.38 X156,X158)) => 328.52/48.38 (( 328.52/48.38 in( 328.52/48.38 X160,X156) => 328.52/48.38 X162) => 328.52/48.38 (( 328.52/48.38 in( 328.52/48.38 X160,X158) => 328.52/48.38 X162) => 328.52/48.38 X162)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X164, 328.52/48.38 X166,X168]: 328.52/48.38 (in( 328.52/48.38 X168, 328.52/48.38 binunion( 328.52/48.38 X164,X166)) => 328.52/48.38 (in( 328.52/48.38 X168,X164) | 328.52/48.38 in( 328.52/48.38 X168,X166)))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X170, 328.52/48.38 X172]: 328.52/48.38 subset( 328.52/48.38 X170, 328.52/48.38 binunion( 328.52/48.38 X170,X172))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X174, 328.52/48.38 X176]: 328.52/48.38 subset( 328.52/48.38 X176, 328.52/48.38 binunion( 328.52/48.38 X174,X176))) => 328.52/48.38 ( 328.52/48.38 binintersectI => 328.52/48.38 ( 328.52/48.38 binintersectSubset5 => 328.52/48.38 ( 328.52/48.38 binintersectEL => 328.52/48.38 ( 328.52/48.38 binintersectLsub => 328.52/48.38 ( 328.52/48.38 binintersectSubset2 => 328.52/48.38 ( 328.52/48.38 binintersectSubset3 => 328.52/48.38 ( 328.52/48.38 binintersectER => 328.52/48.38 ( 328.52/48.38 disjointsetsI1 => 328.52/48.38 ( 328.52/48.38 binintersectRsub => 328.52/48.38 ( 328.52/48.38 binintersectSubset4 => 328.52/48.38 ( 328.52/48.38 binintersectSubset1 => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X178, 328.52/48.38 X180,X182]: 328.52/48.38 (binintersect( 328.52/48.38 X178, 328.52/48.38 binunion( 328.52/48.38 X180,X182)) = 328.52/48.38 binunion( 328.52/48.38 binintersect( 328.52/48.38 X178,X180), 328.52/48.38 binintersect( 328.52/48.38 X178,X182)))) => 328.52/48.38 ( 328.52/48.38 setminusI => 328.52/48.38 ( 328.52/48.38 setminusEL => 328.52/48.38 ( 328.52/48.38 setminusER => 328.52/48.38 ( 328.52/48.38 setminusSubset2 => 328.52/48.38 ( 328.52/48.38 setminusERneg => 328.52/48.38 ( 328.52/48.38 setminusELneg => 328.52/48.38 ( 328.52/48.38 setminusILneg => 328.52/48.38 ( 328.52/48.38 setminusIRneg => 328.52/48.38 ( 328.52/48.38 setminusLsub => 328.52/48.38 ( 328.52/48.38 setminusSubset1 => 328.52/48.38 ( 328.52/48.38 symdiffE => 328.52/48.38 ( 328.52/48.38 symdiffI1 => 328.52/48.38 ( 328.52/48.38 symdiffI2 => 328.52/48.38 ( 328.52/48.38 symdiffIneg1 => 328.52/48.38 ( 328.52/48.38 symdiffIneg2 => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X184, 328.52/48.38 X186]: 328.52/48.38 in( 328.52/48.38 X186, 328.52/48.38 setadjoin( 328.52/48.38 X184, 328.52/48.38 setadjoin( 328.52/48.38 X186, 328.52/48.38 emptyset)))) => 328.52/48.38 ( 328.52/48.38 setukpairIL => 328.52/48.38 ( 328.52/48.38 setukpairIR => 328.52/48.38 ( 328.52/48.38 kpairiskpair => 328.52/48.38 ( 328.52/48.38 kpairp => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X188, 328.52/48.38 X190]: 328.52/48.38 (in( 328.52/48.38 X190,X188) => 328.52/48.38 subset( 328.52/48.38 setadjoin( 328.52/48.38 X190, 328.52/48.38 emptyset), 328.52/48.38 X188))) => 328.52/48.38 ( 328.52/48.38 singletoninpowerset => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X192, 328.52/48.38 X194,X196]: 328.52/48.38 (in( 328.52/48.38 X196,X192) => 328.52/48.38 in( 328.52/48.38 setadjoin( 328.52/48.38 X196, 328.52/48.38 emptyset), 328.52/48.38 powerset( 328.52/48.38 binunion( 328.52/48.38 X192,X194))))) => 328.52/48.38 ( 328.52/48.38 ( 328.52/48.38 ![X198, 328.52/48.38 X200,X202]: 328.52/48.38 (in( 328.52/48.38 X202, 328.52/48.38 setadjoin( 328.52/48.38 X198, 328.52/48.38 setadjoin( 328.52/48.38 X200, 328.52/48.38 emptyset))) => 328.52/48.38 (( 328.52/48.38 X202 = 328.52/48.38 X198) | 328.52/48.38 (X202 = 328.52/48.38 X200)))) => 328.52/48.38 ( 328.52/48.38 ![X204, 328.52/48.38 X206,X208]: 328.52/48.38 (in( 328.52/48.38 X208,X204) => 328.52/48.38 (![X210]: 328.52/48.38 (in( 328.52/48.38 X210,X206) => 328.52/48.38 subset( 328.52/48.38 setadjoin( 328.52/48.38 X208, 328.52/48.38 setadjoin( 328.52/48.38 X210, 328.52/48.38 emptyset)), 328.52/48.38 binunion( 328.52/48.38 X204,X206))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 328.52/48.38 tff('42', plain, in(sk_X208, sk_X204), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('43', plain, 328.52/48.38 ![X144, X145, X146]: ( in(X144, binunion(X145, X146)) | ~ in(X144, X145)), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('44', plain, in(sk_X210, sk_X206), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('45', plain, 328.52/48.38 ![X160, X161, X162]: 328.52/48.38 (X161 = X160 328.52/48.38 | X161 = X162 328.52/48.38 | ~ in(X161, setadjoin(X162, setadjoin(X160, emptyset)))), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('46', plain, 328.52/48.38 ![X147, X148, X149]: ( in(X147, binunion(X148, X149)) | ~ in(X147, X149)), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('47', plain, 328.52/48.38 ![X188, X189]: ( subset(X188, X189) | in(sk_X76(X189, X188), X188)), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('48', plain, 328.52/48.38 ![X188, X189]: ( subset(X188, X189) | ~ in(sk_X76(X189, X188), X189)), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('49', plain, 328.52/48.38 ~ subset(setadjoin(sk_X208, setadjoin(sk_X210, emptyset)), 328.52/48.38 binunion(sk_X204, sk_X206)), 328.52/48.38 inference('cnf', [status(esa)], [zf_stmt_4])). 328.52/48.38 tff('50', plain, $false, 328.52/48.38 inference('eprover', [status(thm)], 328.52/48.38 ['42', '43', '44', '45', '46', '47', '48', '49'])). 328.52/48.38 328.52/48.38 % SZS output end Refutation 328.52/48.38 328.52/48.38 328.52/48.38 % Terminating... 329.12/48.48 % Runner terminated. 329.12/48.48 % Zipperpin 1.5 exiting 329.12/48.48 EOF