0.03/0.12 % 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.iPpnCg4MuL 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.36 % CPULimit : 1200 0.13/0.36 % DateTime : Tue Jul 13 12:19:24 EDT 2021 0.13/0.36 % CPUTime : 0.13/0.36 % Running portfolio for 120 s 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.36 % Number of cores: 8 0.13/0.36 % Python version: Python 3.6.8 0.13/0.36 % Running in HO mode 0.48/0.61 % Estimated wc time : 1286 0.48/0.61 % Estimated cpu time (7 cpus) : 183.71428571428572 0.49/0.73 % /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.49/0.73 % /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s 0.49/0.73 % /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s 0.49/0.73 % /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s 0.49/0.74 % /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s 0.50/0.87 % /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s 0.50/0.89 % /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s 50.52/10.96 % /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s 74.40/15.80 % /export/starexec/sandbox/solver/bin/lams/b.sh running for 31s 76.41/16.37 % /export/starexec/sandbox/solver/bin/lams/sh1.sh running for 26s 106.86/21.68 % /export/starexec/sandbox/solver/bin/lams/b.lsimp.sh running for 17s 108.80/22.09 % /export/starexec/sandbox/solver/bin/lams/b.split.sh running for 31s 145.32/27.48 % /export/starexec/sandbox/solver/bin/lams/s4.sh running for 15s 151.70/28.48 % /export/starexec/sandbox/solver/bin/lams/b.rw.sh running for 26s 158.89/29.72 % /export/starexec/sandbox/solver/bin/lams/c_ic.sh running for 42s 189.46/34.61 % Solved by lams/c_ic.sh. 189.46/34.61 % Running : timeout 32 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.iPpnCg4MuL/e_input541d52 --cpu-limit=30 --auto-schedule -s -p. 189.46/34.61 % done 413 iterations in 4.777s 189.46/34.61 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 189.46/34.61 % SZS output start Refutation 189.46/34.61 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 189.46/34.61 (![A,B,Xf]: 189.46/34.61 (func(A,B,Xf) => 189.46/34.61 (![Xx]: 189.46/34.61 (in(Xx,A) => 189.46/34.61 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 189.46/34.61 tff('0', plain, 189.46/34.61 funcGraphProp2 = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (func(X4,X6,X8) => 189.46/34.61 (![X10]: 189.46/34.61 (in(X10,X4) => 189.46/34.61 (![X12]: 189.46/34.61 (in(X12,X6) => 189.46/34.61 (in(kpair(X10,X12),X8) => (ap(X4,X6,X8,X10) = X12)))))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 189.46/34.61 (![A,B,Xf]: 189.46/34.61 (in(Xf,funcSet(A,B)) => 189.46/34.61 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 189.46/34.61 tff('1', plain, 189.46/34.61 funcGraphProp3 = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (in(X8,funcSet(X4,X6)) => 189.46/34.61 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 189.46/34.61 (![A,B,Xf]: 189.46/34.61 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 189.46/34.61 tff('2', plain, 189.46/34.61 funcGraphProp1 = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (func(X4,X6,X8) => 189.46/34.61 (![X10]: (in(X10,X4) => in(kpair(X10,ap(X4,X6,X8,X10)),X8))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(ap2p, axiom, ap2p <=> 189.46/34.61 (![A,B,Xf]: 189.46/34.61 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 189.46/34.61 tff('3', plain, 189.46/34.61 ap2p = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (in(X8,funcSet(X4,X6)) => 189.46/34.61 (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(app, axiom, app <=> 189.46/34.61 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 189.46/34.61 tff('4', plain, 189.46/34.61 app = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (func(X4,X6,X8) => (![X10]: (in(X10,X4) => in(ap(X4,X6,X8,X10),X6))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(apProp, axiom, apProp <=> 189.46/34.61 (![A,B,Xf]: 189.46/34.61 (func(A,B,Xf) => 189.46/34.61 (![Xx]: 189.46/34.61 (in(Xx,A) => 189.46/34.61 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 189.46/34.61 tff('5', plain, 189.46/34.61 apProp = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (func(X4,X6,X8) => 189.46/34.61 (![X10]: 189.46/34.61 (in(X10,X4) => 189.46/34.61 in(setunion(dsetconstr(X6,^[V_1]: in(kpair(X10,V_1),X8))),X6))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(func, axiom, func() = 189.46/34.61 ^[A,B,R]: 189.46/34.61 (breln(A,B,R) & (![Xx]: (in(Xx,A) => ex1(B,^[Xy]: in(kpair(Xx,Xy),R)))))). 189.46/34.61 tff('6', plain, 189.46/34.61 func = 189.46/34.61 (^[A,B,R]: 189.46/34.61 (breln(A,B,R) & 189.46/34.61 (![Xx]: (in(Xx,A) => ex1(B,^[Xy]: in(kpair(Xx,Xy),R)))))), 189.46/34.61 inference('simplify_rw_rule', [status(thm)], [func])). 189.46/34.61 tff('7', plain, 189.46/34.61 func = 189.46/34.61 (^[V_1,V_2,V_3]: 189.46/34.61 (breln(V_1,V_2,V_3) & 189.46/34.61 (![X4]: (in(X4,V_1) => ex1(V_2,^[V_4]: in(kpair(X4,V_4),V_3)))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 189.46/34.61 (![A,B,Xx]: 189.46/34.61 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 189.46/34.61 tff('8', plain, 189.46/34.61 cartprodmempaircEq = 189.46/34.61 (![X4,X6,X8]: 189.46/34.61 (in(X8,X4) => 189.46/34.61 (![X10]: (in(X10,X6) => (kpair(X8,X10) = kpair(X8,X10)))))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(setukpairinjR, axiom, setukpairinjR <=> 189.46/34.61 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 189.46/34.61 tff('9', plain, 189.46/34.61 setukpairinjR = 189.46/34.61 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X6 = X10))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(setukpairinjL, axiom, setukpairinjL <=> 189.46/34.61 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 189.46/34.61 tff('10', plain, 189.46/34.61 setukpairinjL = 189.46/34.61 (![X4,X6,X8,X10]: ((kpair(X4,X6) = kpair(X8,X10)) => (X4 = X8))), 189.46/34.61 define([status(thm)])). 189.46/34.61 tff(funcextLem, conjecture, 189.46/34.61 (setextAx => 189.46/34.61 (emptysetAx => 189.46/34.61 (setadjoinAx => 189.46/34.61 (powersetAx => 189.46/34.61 (setunionAx => 189.46/34.61 (omega0Ax => 189.46/34.61 (omegaSAx => 189.46/34.61 (omegaIndAx => 189.46/34.61 (replAx => 189.46/34.61 (foundationAx => 189.46/34.61 (wellorderingAx => 189.46/34.61 (descrp => 189.46/34.61 (dsetconstrI => 189.46/34.61 (dsetconstrEL => 189.46/34.61 (dsetconstrER => 189.46/34.61 (exuE1 => 189.46/34.61 (prop2setE => 189.46/34.61 (emptysetE => 189.46/34.61 (emptysetimpfalse => 189.46/34.61 (notinemptyset => 189.46/34.61 (exuE3e => 189.46/34.61 (setext => 189.46/34.61 (emptyI => 189.46/34.61 (noeltsimpempty => 189.46/34.61 (setbeta => 189.46/34.61 (nonemptyE1 => 189.46/34.61 (nonemptyI => 189.46/34.61 (nonemptyI1 => 189.46/34.61 (setadjoinIL => 189.46/34.61 (emptyinunitempty => 189.46/34.61 (setadjoinIR => 189.46/34.61 (setadjoinE => 189.46/34.61 (setadjoinOr => 189.46/34.61 (setoftrueEq => 189.46/34.61 (powersetI => 189.46/34.61 (emptyinPowerset => 189.46/34.61 (emptyInPowerset => 189.46/34.61 (powersetE => 189.46/34.61 (setunionI => 189.46/34.61 (setunionE => 189.46/34.61 (subPowSU => 189.46/34.61 (exuE2 => 189.46/34.61 (nonemptyImpWitness => 189.46/34.61 (uniqinunit => 189.46/34.61 (notinsingleton => 189.46/34.61 (eqinunit => 189.46/34.61 (singletonsswitch => 189.46/34.61 (upairsetE => 189.46/34.61 (upairsetIL => 189.46/34.61 (upairsetIR => 189.46/34.61 (emptyE1 => 189.46/34.61 (vacuousDall => 189.46/34.61 (quantDeMorgan1 => 189.46/34.61 (quantDeMorgan2 => 189.46/34.61 (quantDeMorgan3 => 189.46/34.61 (quantDeMorgan4 => 189.46/34.61 (prop2setI => 189.46/34.61 (prop2set2propI => 189.46/34.61 (notdexE => 189.46/34.61 (notdallE => 189.46/34.61 (exuI1 => 189.46/34.61 (exuI3 => 189.46/34.61 (exuI2 => 189.46/34.61 (inCongP => 189.46/34.61 (in__Cong => 189.46/34.61 (exuE3u => 189.46/34.61 ( 189.46/34.61 exu__Cong => 189.46/34.61 ( 189.46/34.61 emptyset__Cong => 189.46/34.61 ( 189.46/34.61 setadjoin__Cong => 189.46/34.61 ( 189.46/34.61 powerset__Cong => 189.46/34.61 ( 189.46/34.61 setunion__Cong => 189.46/34.61 ( 189.46/34.61 omega__Cong => 189.46/34.61 ( 189.46/34.61 exuEu => 189.46/34.61 ( 189.46/34.61 descr__Cong => 189.46/34.61 ( 189.46/34.61 dsetconstr__Cong => 189.46/34.61 ( 189.46/34.61 subsetI1 => 189.46/34.61 ( 189.46/34.61 eqimpsubset2 => 189.46/34.61 ( 189.46/34.61 eqimpsubset1 => 189.46/34.61 ( 189.46/34.61 subsetI2 => 189.46/34.61 ( 189.46/34.61 emptysetsubset => 189.46/34.61 ( 189.46/34.61 subsetE => 189.46/34.61 ( 189.46/34.61 subsetE2 => 189.46/34.61 ( 189.46/34.61 notsubsetI => 189.46/34.61 ( 189.46/34.61 notequalI1 => 189.46/34.61 ( 189.46/34.61 notequalI2 => 189.46/34.61 ( 189.46/34.61 subsetRefl => 189.46/34.61 ( 189.46/34.61 subsetTrans => 189.46/34.61 ( 189.46/34.61 setadjoinSub => 189.46/34.61 ( 189.46/34.61 setadjoinSub2 => 189.46/34.61 ( 189.46/34.61 subset2powerset => 189.46/34.61 ( 189.46/34.61 setextsub => 189.46/34.61 ( 189.46/34.61 subsetemptysetimpeq => 189.46/34.61 ( 189.46/34.61 powersetI1 => 189.46/34.61 ( 189.46/34.61 powersetE1 => 189.46/34.61 ( 189.46/34.61 inPowerset => 189.46/34.61 ( 189.46/34.61 powersetsubset => 189.46/34.61 ( 189.46/34.61 sepInPowerset => 189.46/34.61 ( 189.46/34.61 sepSubset => 189.46/34.61 ( 189.46/34.61 binunionIL => 189.46/34.61 ( 189.46/34.61 upairset2IR => 189.46/34.61 ( 189.46/34.61 binunionIR => 189.46/34.61 ( 189.46/34.61 binunionEcases => 189.46/34.61 ( 189.46/34.61 binunionE => 189.46/34.61 ( 189.46/34.61 binunionLsub => 189.46/34.61 ( 189.46/34.61 binunionRsub => 189.46/34.61 ( 189.46/34.61 binintersectI => 189.46/34.61 ( 189.46/34.61 binintersectSubset5 => 189.46/34.61 ( 189.46/34.61 binintersectEL => 189.46/34.61 ( 189.46/34.61 binintersectLsub => 189.46/34.61 ( 189.46/34.61 binintersectSubset2 => 189.46/34.61 ( 189.46/34.61 binintersectSubset3 => 189.46/34.61 ( 189.46/34.61 binintersectER => 189.46/34.61 ( 189.46/34.61 disjointsetsI1 => 189.46/34.61 ( 189.46/34.61 binintersectRsub => 189.46/34.61 ( 189.46/34.61 binintersectSubset4 => 189.46/34.61 ( 189.46/34.61 binintersectSubset1 => 189.46/34.61 ( 189.46/34.61 bs114d => 189.46/34.61 ( 189.46/34.61 setminusI => 189.46/34.61 ( 189.46/34.61 setminusEL => 189.46/34.61 ( 189.46/34.61 setminusER => 189.46/34.61 ( 189.46/34.61 setminusSubset2 => 189.46/34.61 ( 189.46/34.61 setminusERneg => 189.46/34.61 ( 189.46/34.61 setminusELneg => 189.46/34.61 ( 189.46/34.61 setminusILneg => 189.46/34.61 ( 189.46/34.61 setminusIRneg => 189.46/34.61 ( 189.46/34.61 setminusLsub => 189.46/34.61 ( 189.46/34.61 setminusSubset1 => 189.46/34.61 ( 189.46/34.61 symdiffE => 189.46/34.61 ( 189.46/34.61 symdiffI1 => 189.46/34.61 ( 189.46/34.61 symdiffI2 => 189.46/34.61 ( 189.46/34.61 symdiffIneg1 => 189.46/34.61 ( 189.46/34.61 symdiffIneg2 => 189.46/34.61 ( 189.46/34.61 secondinupair => 189.46/34.61 ( 189.46/34.61 setukpairIL => 189.46/34.61 ( 189.46/34.61 setukpairIR => 189.46/34.61 ( 189.46/34.61 kpairiskpair => 189.46/34.61 ( 189.46/34.61 kpairp => 189.46/34.61 ( 189.46/34.61 singletonsubset => 189.46/34.61 ( 189.46/34.61 singletoninpowerset => 189.46/34.61 ( 189.46/34.61 singletoninpowunion => 189.46/34.61 ( 189.46/34.61 upairset2E => 189.46/34.61 ( 189.46/34.61 upairsubunion => 189.46/34.61 ( 189.46/34.61 upairinpowunion => 189.46/34.61 ( 189.46/34.61 ubforcartprodlem1 => 189.46/34.61 ( 189.46/34.61 ubforcartprodlem2 => 189.46/34.61 ( 189.46/34.61 ubforcartprodlem3 => 189.46/34.61 ( 189.46/34.61 cartprodpairin => 189.46/34.61 ( 189.46/34.61 cartprodmempair1 => 189.46/34.61 ( 189.46/34.61 cartprodmempair => 189.46/34.61 ( 189.46/34.61 setunionE2 => 189.46/34.61 ( 189.46/34.61 setunionsingleton1 => 189.46/34.61 ( 189.46/34.61 setunionsingleton2 => 189.46/34.61 ( 189.46/34.61 setunionsingleton => 189.46/34.61 ( 189.46/34.61 singletonprop => 189.46/34.61 ( 189.46/34.61 ex1E1 => 189.46/34.61 ( 189.46/34.61 ex1I => 189.46/34.61 ( 189.46/34.61 ex1I2 => 189.46/34.61 ( 189.46/34.61 singletonsuniq => 189.46/34.61 ( 189.46/34.61 setukpairinjL1 => 189.46/34.61 ( 189.46/34.61 kfstsingleton => 189.46/34.61 ( 189.46/34.61 theprop => 189.46/34.61 ( 189.46/34.61 kfstpairEq => 189.46/34.61 ( 189.46/34.61 cartprodfstin => 189.46/34.61 ( 189.46/34.61 setukpairinjL2 => 189.46/34.61 ( 189.46/34.61 setukpairinjL => 189.46/34.61 ( 189.46/34.61 setukpairinjR11 => 189.46/34.61 ( 189.46/34.61 setukpairinjR12 => 189.46/34.61 ( 189.46/34.61 setukpairinjR1 => 189.46/34.61 ( 189.46/34.61 upairequniteq => 189.46/34.61 ( 189.46/34.61 setukpairinjR2 => 189.46/34.61 ( 189.46/34.61 setukpairinjR => 189.46/34.61 ( 189.46/34.61 ksndsingleton => 189.46/34.61 ( 189.46/34.61 ksndpairEq => 189.46/34.61 ( 189.46/34.61 kpairsurjEq => 189.46/34.61 ( 189.46/34.61 cartprodsndin => 189.46/34.61 ( 189.46/34.61 cartprodpairmemEL => 189.46/34.61 ( 189.46/34.61 cartprodpairmemER => 189.46/34.61 ( 189.46/34.61 cartprodmempaircEq => 189.46/34.61 ( 189.46/34.61 cartprodfstpairEq => 189.46/34.61 ( 189.46/34.61 cartprodsndpairEq => 189.46/34.61 ( 189.46/34.61 cartprodpairsurjEq => 189.46/34.61 ( 189.46/34.61 dpsetconstrI => 189.46/34.61 ( 189.46/34.61 dpsetconstrSub => 189.46/34.61 ( 189.46/34.61 setOfPairsIsBReln => 189.46/34.61 ( 189.46/34.61 dpsetconstrERa => 189.46/34.61 ( 189.46/34.61 dpsetconstrEL1 => 189.46/34.61 ( 189.46/34.61 dpsetconstrEL2 => 189.46/34.61 ( 189.46/34.61 dpsetconstrER => 189.46/34.61 ( 189.46/34.61 funcImageSingleton => 189.46/34.61 ( 189.46/34.61 apProp => 189.46/34.61 ( 189.46/34.61 app => 189.46/34.61 ( 189.46/34.61 infuncsetfunc => 189.46/34.61 ( 189.46/34.61 ap2p => 189.46/34.61 ( 189.46/34.61 funcinfuncset => 189.46/34.61 ( 189.46/34.61 lamProp => 189.46/34.61 ( 189.46/34.61 lamp => 189.46/34.61 ( 189.46/34.61 lam2p => 189.46/34.61 ( 189.46/34.61 brelnall1 => 189.46/34.61 ( 189.46/34.61 brelnall2 => 189.46/34.61 ( 189.46/34.61 ex1E2 => 189.46/34.61 ( 189.46/34.61 funcGraphProp1 => 189.46/34.61 ( 189.46/34.61 funcGraphProp3 => 189.46/34.61 ( 189.46/34.61 funcGraphProp2 => 189.46/34.61 ( 189.46/34.61 ![A,B,Xf]: 189.46/34.61 (func( 189.46/34.61 A,B,Xf) => 189.46/34.61 (![Xg]: 189.46/34.61 (func( 189.46/34.61 A,B,Xg) => 189.46/34.61 (( 189.46/34.61 ![Xx]: 189.46/34.61 (in(Xx,A) => 189.46/34.61 (ap( 189.46/34.61 A,B,Xf,Xx) = 189.46/34.61 ap( 189.46/34.61 A,B,Xg,Xx)))) => 189.46/34.61 (![Xx]: 189.46/34.61 (in(Xx,A) => 189.46/34.61 (![Xy]: 189.46/34.61 (in(Xy,B) => 189.46/34.61 (in( 189.46/34.61 kpair( 189.46/34.61 Xx,Xy),Xg) => 189.46/34.61 in( 189.46/34.61 kpair( 189.46/34.61 Xx,Xy),Xf))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 189.46/34.61 tff(zf_stmt_0, conjecture, 189.46/34.61 (setextAx => 189.46/34.61 (emptysetAx => 189.46/34.61 (setadjoinAx => 189.46/34.61 (powersetAx => 189.46/34.61 (setunionAx => 189.46/34.61 (omega0Ax => 189.46/34.61 (omegaSAx => 189.46/34.61 (omegaIndAx => 189.46/34.61 (replAx => 189.46/34.61 (foundationAx => 189.46/34.61 (wellorderingAx => 189.46/34.61 (descrp => 189.46/34.61 (dsetconstrI => 189.46/34.61 (dsetconstrEL => 189.46/34.61 (dsetconstrER => 189.46/34.61 (exuE1 => 189.46/34.61 (prop2setE => 189.46/34.61 (emptysetE => 189.46/34.61 (emptysetimpfalse => 189.46/34.61 (notinemptyset => 189.46/34.61 (exuE3e => 189.46/34.61 (setext => 189.46/34.61 (emptyI => 189.46/34.61 (noeltsimpempty => 189.46/34.61 (setbeta => 189.46/34.61 (nonemptyE1 => 189.46/34.61 (nonemptyI => 189.46/34.61 (nonemptyI1 => 189.46/34.61 (setadjoinIL => 189.46/34.61 (emptyinunitempty => 189.46/34.61 (setadjoinIR => 189.46/34.61 (setadjoinE => 189.46/34.61 (setadjoinOr => 189.46/34.61 (setoftrueEq => 189.46/34.61 (powersetI => 189.46/34.61 (emptyinPowerset => 189.46/34.61 (emptyInPowerset => 189.46/34.61 (powersetE => 189.46/34.61 (setunionI => 189.46/34.61 (setunionE => 189.46/34.61 (subPowSU => 189.46/34.61 (exuE2 => 189.46/34.61 (nonemptyImpWitness => 189.46/34.61 (uniqinunit => 189.46/34.61 (notinsingleton => 189.46/34.61 (eqinunit => 189.46/34.61 (singletonsswitch => 189.46/34.61 (upairsetE => 189.46/34.61 (upairsetIL => 189.46/34.61 (upairsetIR => 189.46/34.61 (emptyE1 => 189.46/34.61 (vacuousDall => 189.46/34.61 (quantDeMorgan1 => 189.46/34.61 (quantDeMorgan2 => 189.46/34.61 (quantDeMorgan3 => 189.46/34.61 (quantDeMorgan4 => 189.46/34.61 (prop2setI => 189.46/34.61 (prop2set2propI => 189.46/34.61 (notdexE => 189.46/34.61 (notdallE => 189.46/34.61 (exuI1 => 189.46/34.61 (exuI3 => 189.46/34.61 (exuI2 => 189.46/34.61 (inCongP => 189.46/34.61 (in__Cong => 189.46/34.61 (exuE3u => 189.46/34.61 ( 189.46/34.61 exu__Cong => 189.46/34.61 ( 189.46/34.61 emptyset__Cong => 189.46/34.61 ( 189.46/34.61 setadjoin__Cong => 189.46/34.61 ( 189.46/34.61 powerset__Cong => 189.46/34.61 ( 189.46/34.61 setunion__Cong => 189.46/34.61 ( 189.46/34.61 omega__Cong => 189.46/34.61 ( 189.46/34.61 exuEu => 189.46/34.61 ( 189.46/34.61 descr__Cong => 189.46/34.61 ( 189.46/34.61 dsetconstr__Cong => 189.46/34.61 ( 189.46/34.61 subsetI1 => 189.46/34.61 ( 189.46/34.61 eqimpsubset2 => 189.46/34.61 ( 189.46/34.61 eqimpsubset1 => 189.46/34.61 ( 189.46/34.61 subsetI2 => 189.46/34.61 ( 189.46/34.61 emptysetsubset => 189.46/34.61 ( 189.46/34.61 subsetE => 189.46/34.61 ( 189.46/34.61 subsetE2 => 189.46/34.61 ( 189.46/34.61 notsubsetI => 189.46/34.61 ( 189.46/34.61 notequalI1 => 189.46/34.61 ( 189.46/34.61 notequalI2 => 189.46/34.61 ( 189.46/34.61 subsetRefl => 189.46/34.61 ( 189.46/34.61 subsetTrans => 189.46/34.61 ( 189.46/34.61 setadjoinSub => 189.46/34.61 ( 189.46/34.61 setadjoinSub2 => 189.46/34.61 ( 189.46/34.61 subset2powerset => 189.46/34.61 ( 189.46/34.61 setextsub => 189.46/34.61 ( 189.46/34.61 subsetemptysetimpeq => 189.46/34.61 ( 189.46/34.61 powersetI1 => 189.46/34.61 ( 189.46/34.61 powersetE1 => 189.46/34.61 ( 189.46/34.61 inPowerset => 189.46/34.61 ( 189.46/34.61 powersetsubset => 189.46/34.61 ( 189.46/34.61 sepInPowerset => 189.46/34.61 ( 189.46/34.61 sepSubset => 189.46/34.61 ( 189.46/34.61 binunionIL => 189.46/34.61 ( 189.46/34.61 upairset2IR => 189.46/34.61 ( 189.46/34.61 binunionIR => 189.46/34.61 ( 189.46/34.61 binunionEcases => 189.46/34.61 ( 189.46/34.61 binunionE => 189.46/34.61 ( 189.46/34.61 binunionLsub => 189.46/34.61 ( 189.46/34.61 binunionRsub => 189.46/34.61 ( 189.46/34.61 binintersectI => 189.46/34.61 ( 189.46/34.61 binintersectSubset5 => 189.46/34.61 ( 189.46/34.61 binintersectEL => 189.46/34.62 ( 189.46/34.62 binintersectLsub => 189.46/34.62 ( 189.46/34.62 binintersectSubset2 => 189.46/34.62 ( 189.46/34.62 binintersectSubset3 => 189.46/34.62 ( 189.46/34.62 binintersectER => 189.46/34.62 ( 189.46/34.62 disjointsetsI1 => 189.46/34.62 ( 189.46/34.62 binintersectRsub => 189.46/34.62 ( 189.46/34.62 binintersectSubset4 => 189.46/34.62 ( 189.46/34.62 binintersectSubset1 => 189.46/34.62 ( 189.46/34.62 bs114d => 189.46/34.62 ( 189.46/34.62 setminusI => 189.46/34.62 ( 189.46/34.62 setminusEL => 189.46/34.62 ( 189.46/34.62 setminusER => 189.46/34.62 ( 189.46/34.62 setminusSubset2 => 189.46/34.62 ( 189.46/34.62 setminusERneg => 189.46/34.62 ( 189.46/34.62 setminusELneg => 189.46/34.62 ( 189.46/34.62 setminusILneg => 189.46/34.62 ( 189.46/34.62 setminusIRneg => 189.46/34.62 ( 189.46/34.62 setminusLsub => 189.46/34.62 ( 189.46/34.62 setminusSubset1 => 189.46/34.62 ( 189.46/34.62 symdiffE => 189.46/34.62 ( 189.46/34.62 symdiffI1 => 189.46/34.62 ( 189.46/34.62 symdiffI2 => 189.46/34.62 ( 189.46/34.62 symdiffIneg1 => 189.46/34.62 ( 189.46/34.62 symdiffIneg2 => 189.46/34.62 ( 189.46/34.62 secondinupair => 189.46/34.62 ( 189.46/34.62 setukpairIL => 189.46/34.62 ( 189.46/34.62 setukpairIR => 189.46/34.62 ( 189.46/34.62 kpairiskpair => 189.46/34.62 ( 189.46/34.62 kpairp => 189.46/34.62 ( 189.46/34.62 singletonsubset => 189.46/34.62 ( 189.46/34.62 singletoninpowerset => 189.46/34.62 ( 189.46/34.62 singletoninpowunion => 189.46/34.62 ( 189.46/34.62 upairset2E => 189.46/34.62 ( 189.46/34.62 upairsubunion => 189.46/34.62 ( 189.46/34.62 upairinpowunion => 189.46/34.62 ( 189.46/34.62 ubforcartprodlem1 => 189.46/34.62 ( 189.46/34.62 ubforcartprodlem2 => 189.46/34.62 ( 189.46/34.62 ubforcartprodlem3 => 189.46/34.62 ( 189.46/34.62 cartprodpairin => 189.46/34.62 ( 189.46/34.62 cartprodmempair1 => 189.46/34.62 ( 189.46/34.62 cartprodmempair => 189.46/34.62 ( 189.46/34.62 setunionE2 => 189.46/34.62 ( 189.46/34.62 setunionsingleton1 => 189.46/34.62 ( 189.46/34.62 setunionsingleton2 => 189.46/34.62 ( 189.46/34.62 setunionsingleton => 189.46/34.62 ( 189.46/34.62 singletonprop => 189.46/34.62 ( 189.46/34.62 ex1E1 => 189.46/34.62 ( 189.46/34.62 ex1I => 189.46/34.62 ( 189.46/34.62 ex1I2 => 189.46/34.62 ( 189.46/34.62 singletonsuniq => 189.46/34.62 ( 189.46/34.62 setukpairinjL1 => 189.46/34.62 ( 189.46/34.62 kfstsingleton => 189.46/34.62 ( 189.46/34.62 theprop => 189.46/34.62 ( 189.46/34.62 kfstpairEq => 189.46/34.62 ( 189.46/34.62 cartprodfstin => 189.46/34.62 ( 189.46/34.62 setukpairinjL2 => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X4,X6, 189.46/34.62 X8,X10]: 189.46/34.62 (( 189.46/34.62 kpair( 189.46/34.62 X4,X6) = 189.46/34.62 kpair( 189.46/34.62 X8,X10)) => 189.46/34.62 (X4 = X8))) => 189.46/34.62 ( 189.46/34.62 setukpairinjR11 => 189.46/34.62 ( 189.46/34.62 setukpairinjR12 => 189.46/34.62 ( 189.46/34.62 setukpairinjR1 => 189.46/34.62 ( 189.46/34.62 upairequniteq => 189.46/34.62 ( 189.46/34.62 setukpairinjR2 => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X12, 189.46/34.62 X14,X16, 189.46/34.62 X18]: 189.46/34.62 (( 189.46/34.62 kpair( 189.46/34.62 X12,X14) = 189.46/34.62 kpair( 189.46/34.62 X16,X18)) => 189.46/34.62 (X14 = 189.46/34.62 X18))) => 189.46/34.62 ( 189.46/34.62 ksndsingleton => 189.46/34.62 ( 189.46/34.62 ksndpairEq => 189.46/34.62 ( 189.46/34.62 kpairsurjEq => 189.46/34.62 ( 189.46/34.62 cartprodsndin => 189.46/34.62 ( 189.46/34.62 cartprodpairmemEL => 189.46/34.62 ( 189.46/34.62 cartprodpairmemER => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X20, 189.46/34.62 X22,X24]: 189.46/34.62 (in( 189.46/34.62 X24,X20) => 189.46/34.62 (![X26]: 189.46/34.62 (in( 189.46/34.62 X26,X22) => 189.46/34.62 (kpair( 189.46/34.62 X24,X26) = 189.46/34.62 kpair( 189.46/34.62 X24,X26)))))) => 189.46/34.62 ( 189.46/34.62 cartprodfstpairEq => 189.46/34.62 ( 189.46/34.62 cartprodsndpairEq => 189.46/34.62 ( 189.46/34.62 cartprodpairsurjEq => 189.46/34.62 ( 189.46/34.62 dpsetconstrI => 189.46/34.62 ( 189.46/34.62 dpsetconstrSub => 189.46/34.62 ( 189.46/34.62 setOfPairsIsBReln => 189.46/34.62 ( 189.46/34.62 dpsetconstrERa => 189.46/34.62 ( 189.46/34.62 dpsetconstrEL1 => 189.46/34.62 ( 189.46/34.62 dpsetconstrEL2 => 189.46/34.62 ( 189.46/34.62 dpsetconstrER => 189.46/34.62 ( 189.46/34.62 funcImageSingleton => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X28, 189.46/34.62 X30,X32]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X28,X30, 189.46/34.62 X32) & 189.46/34.62 ( 189.46/34.62 ![X34]: 189.46/34.62 (in( 189.46/34.62 X34,X28) => 189.46/34.62 ex1( 189.46/34.62 X30, 189.46/34.62 ^[V_1]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X34,V_1), 189.46/34.62 X32))))) => 189.46/34.62 (![X36]: 189.46/34.62 (in( 189.46/34.62 X36,X28) => 189.46/34.62 in( 189.46/34.62 setunion( 189.46/34.62 dsetconstr( 189.46/34.62 X30, 189.46/34.62 ^[V_2]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X36,V_2), 189.46/34.62 X32))), 189.46/34.62 X30))))) => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X38, 189.46/34.62 X40,X42]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X38,X40, 189.46/34.62 X42) & 189.46/34.62 ( 189.46/34.62 ![X44]: 189.46/34.62 (in( 189.46/34.62 X44,X38) => 189.46/34.62 ex1( 189.46/34.62 X40, 189.46/34.62 ^[V_3]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X44,V_3), 189.46/34.62 X42))))) => 189.46/34.62 (![X46]: 189.46/34.62 (in( 189.46/34.62 X46,X38) => 189.46/34.62 in( 189.46/34.62 ap( 189.46/34.62 X38,X40, 189.46/34.62 X42,X46), 189.46/34.62 X40))))) => 189.46/34.62 ( 189.46/34.62 infuncsetfunc => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X48, 189.46/34.62 X50,X52]: 189.46/34.62 (in( 189.46/34.62 X52, 189.46/34.62 funcSet( 189.46/34.62 X48,X50)) => 189.46/34.62 (![X54]: 189.46/34.62 (in( 189.46/34.62 X54,X48) => 189.46/34.62 in( 189.46/34.62 ap( 189.46/34.62 X48,X50, 189.46/34.62 X52,X54), 189.46/34.62 X50))))) => 189.46/34.62 ( 189.46/34.62 funcinfuncset => 189.46/34.62 ( 189.46/34.62 lamProp => 189.46/34.62 ( 189.46/34.62 lamp => 189.46/34.62 ( 189.46/34.62 lam2p => 189.46/34.62 ( 189.46/34.62 brelnall1 => 189.46/34.62 ( 189.46/34.62 brelnall2 => 189.46/34.62 ( 189.46/34.62 ex1E2 => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X56, 189.46/34.62 X58,X60]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X56,X58, 189.46/34.62 X60) & 189.46/34.62 ( 189.46/34.62 ![X62]: 189.46/34.62 (in( 189.46/34.62 X62,X56) => 189.46/34.62 ex1( 189.46/34.62 X58, 189.46/34.62 ^[V_4]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X62,V_4), 189.46/34.62 X60))))) => 189.46/34.62 (![X64]: 189.46/34.62 (in( 189.46/34.62 X64,X56) => 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X64, 189.46/34.62 ap( 189.46/34.62 X56,X58, 189.46/34.62 X60,X64)), 189.46/34.62 X60))))) => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X66, 189.46/34.62 X68,X70]: 189.46/34.62 (in( 189.46/34.62 X70, 189.46/34.62 funcSet( 189.46/34.62 X66,X68)) => 189.46/34.62 (![X72]: 189.46/34.62 (in( 189.46/34.62 X72,X66) => 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X72, 189.46/34.62 ap( 189.46/34.62 X66,X68, 189.46/34.62 X70,X72)), 189.46/34.62 X70))))) => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X74, 189.46/34.62 X76,X78]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X74,X76, 189.46/34.62 X78) & 189.46/34.62 ( 189.46/34.62 ![X80]: 189.46/34.62 (in( 189.46/34.62 X80,X74) => 189.46/34.62 ex1( 189.46/34.62 X76, 189.46/34.62 ^[V_5]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X80,V_5), 189.46/34.62 X78))))) => 189.46/34.62 (![X82]: 189.46/34.62 (in( 189.46/34.62 X82,X74) => 189.46/34.62 (![X84]: 189.46/34.62 (in( 189.46/34.62 X84,X76) => 189.46/34.62 (in( 189.46/34.62 kpair( 189.46/34.62 X82,X84), 189.46/34.62 X78) => 189.46/34.62 (ap( 189.46/34.62 X74,X76, 189.46/34.62 X78,X82) = 189.46/34.62 X84)))))))) => 189.46/34.62 ( 189.46/34.62 ![X86, 189.46/34.62 X88,X90]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X86,X88, 189.46/34.62 X90) & 189.46/34.62 ( 189.46/34.62 ![X92]: 189.46/34.62 (in( 189.46/34.62 X92,X86) => 189.46/34.62 ex1( 189.46/34.62 X88, 189.46/34.62 ^[V_6]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X92,V_6), 189.46/34.62 X90))))) => 189.46/34.62 (![X94]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X86,X88, 189.46/34.62 X94) & 189.46/34.62 ( 189.46/34.62 ![X96]: 189.46/34.62 (in( 189.46/34.62 X96,X86) => 189.46/34.62 ex1( 189.46/34.62 X88, 189.46/34.62 ^[V_7]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X96,V_7), 189.46/34.62 X94))))) => 189.46/34.62 (( 189.46/34.62 ![X98]: 189.46/34.62 (in( 189.46/34.62 X98,X86) => 189.46/34.62 (ap( 189.46/34.62 X86,X88, 189.46/34.62 X90,X98) = 189.46/34.62 ap( 189.46/34.62 X86,X88, 189.46/34.62 X94,X98)))) => 189.46/34.62 (![X100]: 189.46/34.62 (in( 189.46/34.62 X100,X86) => 189.46/34.62 (![X102]: 189.46/34.62 (in( 189.46/34.62 X102,X88) => 189.46/34.62 (in( 189.46/34.62 kpair( 189.46/34.62 X100,X102), 189.46/34.62 X94) => 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X100,X102), 189.46/34.62 X90))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 189.46/34.62 tff(zf_stmt_1, negated_conjecture, 189.46/34.62 (~ 189.46/34.62 (setextAx => 189.46/34.62 (emptysetAx => 189.46/34.62 (setadjoinAx => 189.46/34.62 (powersetAx => 189.46/34.62 (setunionAx => 189.46/34.62 (omega0Ax => 189.46/34.62 (omegaSAx => 189.46/34.62 (omegaIndAx => 189.46/34.62 (replAx => 189.46/34.62 (foundationAx => 189.46/34.62 (wellorderingAx => 189.46/34.62 (descrp => 189.46/34.62 (dsetconstrI => 189.46/34.62 (dsetconstrEL => 189.46/34.62 (dsetconstrER => 189.46/34.62 (exuE1 => 189.46/34.62 (prop2setE => 189.46/34.62 (emptysetE => 189.46/34.62 (emptysetimpfalse => 189.46/34.62 (notinemptyset => 189.46/34.62 (exuE3e => 189.46/34.62 (setext => 189.46/34.62 (emptyI => 189.46/34.62 (noeltsimpempty => 189.46/34.62 (setbeta => 189.46/34.62 (nonemptyE1 => 189.46/34.62 (nonemptyI => 189.46/34.62 (nonemptyI1 => 189.46/34.62 (setadjoinIL => 189.46/34.62 (emptyinunitempty => 189.46/34.62 (setadjoinIR => 189.46/34.62 (setadjoinE => 189.46/34.62 (setadjoinOr => 189.46/34.62 (setoftrueEq => 189.46/34.62 (powersetI => 189.46/34.62 (emptyinPowerset => 189.46/34.62 (emptyInPowerset => 189.46/34.62 (powersetE => 189.46/34.62 (setunionI => 189.46/34.62 (setunionE => 189.46/34.62 (subPowSU => 189.46/34.62 (exuE2 => 189.46/34.62 (nonemptyImpWitness => 189.46/34.62 (uniqinunit => 189.46/34.62 (notinsingleton => 189.46/34.62 (eqinunit => 189.46/34.62 (singletonsswitch => 189.46/34.62 (upairsetE => 189.46/34.62 (upairsetIL => 189.46/34.62 (upairsetIR => 189.46/34.62 (emptyE1 => 189.46/34.62 (vacuousDall => 189.46/34.62 (quantDeMorgan1 => 189.46/34.62 (quantDeMorgan2 => 189.46/34.62 (quantDeMorgan3 => 189.46/34.62 (quantDeMorgan4 => 189.46/34.62 (prop2setI => 189.46/34.62 (prop2set2propI => 189.46/34.62 (notdexE => 189.46/34.62 (notdallE => 189.46/34.62 (exuI1 => 189.46/34.62 (exuI3 => 189.46/34.62 (exuI2 => 189.46/34.62 (inCongP => 189.46/34.62 ( 189.46/34.62 in__Cong => 189.46/34.62 ( 189.46/34.62 exuE3u => 189.46/34.62 ( 189.46/34.62 exu__Cong => 189.46/34.62 ( 189.46/34.62 emptyset__Cong => 189.46/34.62 ( 189.46/34.62 setadjoin__Cong => 189.46/34.62 ( 189.46/34.62 powerset__Cong => 189.46/34.62 ( 189.46/34.62 setunion__Cong => 189.46/34.62 ( 189.46/34.62 omega__Cong => 189.46/34.62 ( 189.46/34.62 exuEu => 189.46/34.62 ( 189.46/34.62 descr__Cong => 189.46/34.62 ( 189.46/34.62 dsetconstr__Cong => 189.46/34.62 ( 189.46/34.62 subsetI1 => 189.46/34.62 ( 189.46/34.62 eqimpsubset2 => 189.46/34.62 ( 189.46/34.62 eqimpsubset1 => 189.46/34.62 ( 189.46/34.62 subsetI2 => 189.46/34.62 ( 189.46/34.62 emptysetsubset => 189.46/34.62 ( 189.46/34.62 subsetE => 189.46/34.62 ( 189.46/34.62 subsetE2 => 189.46/34.62 ( 189.46/34.62 notsubsetI => 189.46/34.62 ( 189.46/34.62 notequalI1 => 189.46/34.62 ( 189.46/34.62 notequalI2 => 189.46/34.62 ( 189.46/34.62 subsetRefl => 189.46/34.62 ( 189.46/34.62 subsetTrans => 189.46/34.62 ( 189.46/34.62 setadjoinSub => 189.46/34.62 ( 189.46/34.62 setadjoinSub2 => 189.46/34.62 ( 189.46/34.62 subset2powerset => 189.46/34.62 ( 189.46/34.62 setextsub => 189.46/34.62 ( 189.46/34.62 subsetemptysetimpeq => 189.46/34.62 ( 189.46/34.62 powersetI1 => 189.46/34.62 ( 189.46/34.62 powersetE1 => 189.46/34.62 ( 189.46/34.62 inPowerset => 189.46/34.62 ( 189.46/34.62 powersetsubset => 189.46/34.62 ( 189.46/34.62 sepInPowerset => 189.46/34.62 ( 189.46/34.62 sepSubset => 189.46/34.62 ( 189.46/34.62 binunionIL => 189.46/34.62 ( 189.46/34.62 upairset2IR => 189.46/34.62 ( 189.46/34.62 binunionIR => 189.46/34.62 ( 189.46/34.62 binunionEcases => 189.46/34.62 ( 189.46/34.62 binunionE => 189.46/34.62 ( 189.46/34.62 binunionLsub => 189.46/34.62 ( 189.46/34.62 binunionRsub => 189.46/34.62 ( 189.46/34.62 binintersectI => 189.46/34.62 ( 189.46/34.62 binintersectSubset5 => 189.46/34.62 ( 189.46/34.62 binintersectEL => 189.46/34.62 ( 189.46/34.62 binintersectLsub => 189.46/34.62 ( 189.46/34.62 binintersectSubset2 => 189.46/34.62 ( 189.46/34.62 binintersectSubset3 => 189.46/34.62 ( 189.46/34.62 binintersectER => 189.46/34.62 ( 189.46/34.62 disjointsetsI1 => 189.46/34.62 ( 189.46/34.62 binintersectRsub => 189.46/34.62 ( 189.46/34.62 binintersectSubset4 => 189.46/34.62 ( 189.46/34.62 binintersectSubset1 => 189.46/34.62 ( 189.46/34.62 bs114d => 189.46/34.62 ( 189.46/34.62 setminusI => 189.46/34.62 ( 189.46/34.62 setminusEL => 189.46/34.62 ( 189.46/34.62 setminusER => 189.46/34.62 ( 189.46/34.62 setminusSubset2 => 189.46/34.62 ( 189.46/34.62 setminusERneg => 189.46/34.62 ( 189.46/34.62 setminusELneg => 189.46/34.62 ( 189.46/34.62 setminusILneg => 189.46/34.62 ( 189.46/34.62 setminusIRneg => 189.46/34.62 ( 189.46/34.62 setminusLsub => 189.46/34.62 ( 189.46/34.62 setminusSubset1 => 189.46/34.62 ( 189.46/34.62 symdiffE => 189.46/34.62 ( 189.46/34.62 symdiffI1 => 189.46/34.62 ( 189.46/34.62 symdiffI2 => 189.46/34.62 ( 189.46/34.62 symdiffIneg1 => 189.46/34.62 ( 189.46/34.62 symdiffIneg2 => 189.46/34.62 ( 189.46/34.62 secondinupair => 189.46/34.62 ( 189.46/34.62 setukpairIL => 189.46/34.62 ( 189.46/34.62 setukpairIR => 189.46/34.62 ( 189.46/34.62 kpairiskpair => 189.46/34.62 ( 189.46/34.62 kpairp => 189.46/34.62 ( 189.46/34.62 singletonsubset => 189.46/34.62 ( 189.46/34.62 singletoninpowerset => 189.46/34.62 ( 189.46/34.62 singletoninpowunion => 189.46/34.62 ( 189.46/34.62 upairset2E => 189.46/34.62 ( 189.46/34.62 upairsubunion => 189.46/34.62 ( 189.46/34.62 upairinpowunion => 189.46/34.62 ( 189.46/34.62 ubforcartprodlem1 => 189.46/34.62 ( 189.46/34.62 ubforcartprodlem2 => 189.46/34.62 ( 189.46/34.62 ubforcartprodlem3 => 189.46/34.62 ( 189.46/34.62 cartprodpairin => 189.46/34.62 ( 189.46/34.62 cartprodmempair1 => 189.46/34.62 ( 189.46/34.62 cartprodmempair => 189.46/34.62 ( 189.46/34.62 setunionE2 => 189.46/34.62 ( 189.46/34.62 setunionsingleton1 => 189.46/34.62 ( 189.46/34.62 setunionsingleton2 => 189.46/34.62 ( 189.46/34.62 setunionsingleton => 189.46/34.62 ( 189.46/34.62 singletonprop => 189.46/34.62 ( 189.46/34.62 ex1E1 => 189.46/34.62 ( 189.46/34.62 ex1I => 189.46/34.62 ( 189.46/34.62 ex1I2 => 189.46/34.62 ( 189.46/34.62 singletonsuniq => 189.46/34.62 ( 189.46/34.62 setukpairinjL1 => 189.46/34.62 ( 189.46/34.62 kfstsingleton => 189.46/34.62 ( 189.46/34.62 theprop => 189.46/34.62 ( 189.46/34.62 kfstpairEq => 189.46/34.62 ( 189.46/34.62 cartprodfstin => 189.46/34.62 ( 189.46/34.62 setukpairinjL2 => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X4,X6, 189.46/34.62 X8,X10]: 189.46/34.62 (( 189.46/34.62 kpair( 189.46/34.62 X4,X6) = 189.46/34.62 kpair( 189.46/34.62 X8,X10)) => 189.46/34.62 (X4 = X8))) => 189.46/34.62 ( 189.46/34.62 setukpairinjR11 => 189.46/34.62 ( 189.46/34.62 setukpairinjR12 => 189.46/34.62 ( 189.46/34.62 setukpairinjR1 => 189.46/34.62 ( 189.46/34.62 upairequniteq => 189.46/34.62 ( 189.46/34.62 setukpairinjR2 => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X12, 189.46/34.62 X14,X16, 189.46/34.62 X18]: 189.46/34.62 (( 189.46/34.62 kpair( 189.46/34.62 X12,X14) = 189.46/34.62 kpair( 189.46/34.62 X16,X18)) => 189.46/34.62 (X14 = 189.46/34.62 X18))) => 189.46/34.62 ( 189.46/34.62 ksndsingleton => 189.46/34.62 ( 189.46/34.62 ksndpairEq => 189.46/34.62 ( 189.46/34.62 kpairsurjEq => 189.46/34.62 ( 189.46/34.62 cartprodsndin => 189.46/34.62 ( 189.46/34.62 cartprodpairmemEL => 189.46/34.62 ( 189.46/34.62 cartprodpairmemER => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X20, 189.46/34.62 X22,X24]: 189.46/34.62 (in( 189.46/34.62 X24,X20) => 189.46/34.62 (![X26]: 189.46/34.62 (in( 189.46/34.62 X26,X22) => 189.46/34.62 (kpair( 189.46/34.62 X24,X26) = 189.46/34.62 kpair( 189.46/34.62 X24,X26)))))) => 189.46/34.62 ( 189.46/34.62 cartprodfstpairEq => 189.46/34.62 ( 189.46/34.62 cartprodsndpairEq => 189.46/34.62 ( 189.46/34.62 cartprodpairsurjEq => 189.46/34.62 ( 189.46/34.62 dpsetconstrI => 189.46/34.62 ( 189.46/34.62 dpsetconstrSub => 189.46/34.62 ( 189.46/34.62 setOfPairsIsBReln => 189.46/34.62 ( 189.46/34.62 dpsetconstrERa => 189.46/34.62 ( 189.46/34.62 dpsetconstrEL1 => 189.46/34.62 ( 189.46/34.62 dpsetconstrEL2 => 189.46/34.62 ( 189.46/34.62 dpsetconstrER => 189.46/34.62 ( 189.46/34.62 funcImageSingleton => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X28, 189.46/34.62 X30,X32]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X28,X30, 189.46/34.62 X32) & 189.46/34.62 ( 189.46/34.62 ![X34]: 189.46/34.62 (in( 189.46/34.62 X34,X28) => 189.46/34.62 ex1( 189.46/34.62 X30, 189.46/34.62 ^[V_1]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X34,V_1), 189.46/34.62 X32))))) => 189.46/34.62 (![X36]: 189.46/34.62 (in( 189.46/34.62 X36,X28) => 189.46/34.62 in( 189.46/34.62 setunion( 189.46/34.62 dsetconstr( 189.46/34.62 X30, 189.46/34.62 ^[V_2]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X36,V_2), 189.46/34.62 X32))), 189.46/34.62 X30))))) => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X38, 189.46/34.62 X40,X42]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X38,X40, 189.46/34.62 X42) & 189.46/34.62 ( 189.46/34.62 ![X44]: 189.46/34.62 (in( 189.46/34.62 X44,X38) => 189.46/34.62 ex1( 189.46/34.62 X40, 189.46/34.62 ^[V_3]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X44,V_3), 189.46/34.62 X42))))) => 189.46/34.62 (![X46]: 189.46/34.62 (in( 189.46/34.62 X46,X38) => 189.46/34.62 in( 189.46/34.62 ap( 189.46/34.62 X38,X40, 189.46/34.62 X42,X46), 189.46/34.62 X40))))) => 189.46/34.62 ( 189.46/34.62 infuncsetfunc => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X48, 189.46/34.62 X50,X52]: 189.46/34.62 (in( 189.46/34.62 X52, 189.46/34.62 funcSet( 189.46/34.62 X48,X50)) => 189.46/34.62 (![X54]: 189.46/34.62 (in( 189.46/34.62 X54,X48) => 189.46/34.62 in( 189.46/34.62 ap( 189.46/34.62 X48,X50, 189.46/34.62 X52,X54), 189.46/34.62 X50))))) => 189.46/34.62 ( 189.46/34.62 funcinfuncset => 189.46/34.62 ( 189.46/34.62 lamProp => 189.46/34.62 ( 189.46/34.62 lamp => 189.46/34.62 ( 189.46/34.62 lam2p => 189.46/34.62 ( 189.46/34.62 brelnall1 => 189.46/34.62 ( 189.46/34.62 brelnall2 => 189.46/34.62 ( 189.46/34.62 ex1E2 => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X56, 189.46/34.62 X58,X60]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X56,X58, 189.46/34.62 X60) & 189.46/34.62 ( 189.46/34.62 ![X62]: 189.46/34.62 (in( 189.46/34.62 X62,X56) => 189.46/34.62 ex1( 189.46/34.62 X58, 189.46/34.62 ^[V_4]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X62,V_4), 189.46/34.62 X60))))) => 189.46/34.62 (![X64]: 189.46/34.62 (in( 189.46/34.62 X64,X56) => 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X64, 189.46/34.62 ap( 189.46/34.62 X56,X58, 189.46/34.62 X60,X64)), 189.46/34.62 X60))))) => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X66, 189.46/34.62 X68,X70]: 189.46/34.62 (in( 189.46/34.62 X70, 189.46/34.62 funcSet( 189.46/34.62 X66,X68)) => 189.46/34.62 (![X72]: 189.46/34.62 (in( 189.46/34.62 X72,X66) => 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X72, 189.46/34.62 ap( 189.46/34.62 X66,X68, 189.46/34.62 X70,X72)), 189.46/34.62 X70))))) => 189.46/34.62 ( 189.46/34.62 ( 189.46/34.62 ![X74, 189.46/34.62 X76,X78]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X74,X76, 189.46/34.62 X78) & 189.46/34.62 ( 189.46/34.62 ![X80]: 189.46/34.62 (in( 189.46/34.62 X80,X74) => 189.46/34.62 ex1( 189.46/34.62 X76, 189.46/34.62 ^[V_5]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X80,V_5), 189.46/34.62 X78))))) => 189.46/34.62 (![X82]: 189.46/34.62 (in( 189.46/34.62 X82,X74) => 189.46/34.62 (![X84]: 189.46/34.62 (in( 189.46/34.62 X84,X76) => 189.46/34.62 (in( 189.46/34.62 kpair( 189.46/34.62 X82,X84), 189.46/34.62 X78) => 189.46/34.62 (ap( 189.46/34.62 X74,X76, 189.46/34.62 X78,X82) = 189.46/34.62 X84)))))))) => 189.46/34.62 ( 189.46/34.62 ![X86, 189.46/34.62 X88,X90]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X86,X88, 189.46/34.62 X90) & 189.46/34.62 ( 189.46/34.62 ![X92]: 189.46/34.62 (in( 189.46/34.62 X92,X86) => 189.46/34.62 ex1( 189.46/34.62 X88, 189.46/34.62 ^[V_6]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X92,V_6), 189.46/34.62 X90))))) => 189.46/34.62 (![X94]: 189.46/34.62 (( 189.46/34.62 breln( 189.46/34.62 X86,X88, 189.46/34.62 X94) & 189.46/34.62 ( 189.46/34.62 ![X96]: 189.46/34.62 (in( 189.46/34.62 X96,X86) => 189.46/34.62 ex1( 189.46/34.62 X88, 189.46/34.62 ^[V_7]: 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X96,V_7), 189.46/34.62 X94))))) => 189.46/34.62 (( 189.46/34.62 ![X98]: 189.46/34.62 (in( 189.46/34.62 X98,X86) => 189.46/34.62 (ap( 189.46/34.62 X86,X88, 189.46/34.62 X90,X98) = 189.46/34.62 ap( 189.46/34.62 X86,X88, 189.46/34.62 X94,X98)))) => 189.46/34.62 (![X100]: 189.46/34.62 (in( 189.46/34.62 X100,X86) => 189.46/34.62 (![X102]: 189.46/34.62 (in( 189.46/34.62 X102,X88) => 189.46/34.62 (in( 189.46/34.62 kpair( 189.46/34.62 X100,X102), 189.46/34.62 X94) => 189.46/34.62 in( 189.46/34.62 kpair( 189.46/34.62 X100,X102), 189.46/34.62 X90)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 189.46/34.62 tff('11', plain, 189.46/34.62 ![X61, X62, X63, X64, X65]: 189.46/34.62 (~ in(X61, X62) 189.46/34.62 | ~ in(kpair(X61, X63), X64) 189.46/34.62 | ap(X62, X65, X64, X61) = X63 189.46/34.62 | ~ in(X63, X65) 189.46/34.62 | ~ ex1(X65, (^[Y0 : $i]: in(kpair(sk_X80(X64, X65, X62), Y0), X64))) 189.46/34.62 | ~ breln(X62, X65, X64)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('12', plain, 189.46/34.62 ![X61, X62, X63, X64, X65]: 189.46/34.62 (~ in(X61, X62) 189.46/34.62 | ~ in(kpair(X61, X63), X64) 189.46/34.62 | ap(X62, X65, X64, X61) = X63 189.46/34.62 | ~ in(X63, X65) 189.46/34.62 | ~ ex1(X65, (^[Y0 : $i]: in(kpair(sk_X80(X64, X65, X62), Y0), X64))) 189.46/34.62 | ~ breln(X62, X65, X64)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('13', plain, 189.46/34.62 ![X62, X64, X65, X66]: 189.46/34.62 '#l_lift342'(X62, X64, X65, X66) 189.46/34.62 = in(kpair(sk_X80(X64, X65, X62), X66), X64), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('14', plain, 189.46/34.62 ![X61, X62, X63, X64, X65]: 189.46/34.62 (~ in(X61, X62) 189.46/34.62 | ~ in(kpair(X61, X63), X64) 189.46/34.62 | ap(X62, X65, X64, X61) = X63 189.46/34.62 | ~ in(X63, X65) 189.46/34.62 | ~ ex1(X65, '#l_lift342'(X62, X64, X65)) 189.46/34.62 | ~ breln(X62, X65, X64)), 189.46/34.62 inference('lambda_lifting', [status(thm)], ['11', '13'])). 189.46/34.62 tff('15', plain, 189.46/34.62 ![X73, X74, X75, X76]: 189.46/34.62 (~ in(X73, X74) 189.46/34.62 | in( 189.46/34.62 setunion(dsetconstr(X75, (^[Y0 : $i]: in(kpair(X73, Y0), X76)))), 189.46/34.62 X75) 189.46/34.62 | ~ ex1(X75, (^[Y0 : $i]: in(kpair(sk_X34(X76, X75, X74), Y0), X76))) 189.46/34.62 | ~ breln(X74, X75, X76)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('16', plain, 189.46/34.62 ![X62, X64, X65, X66]: 189.46/34.62 '#l_lift342'(X62, X64, X65, X66) 189.46/34.62 = in(kpair(sk_X80(X64, X65, X62), X66), X64), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('17', plain, 189.46/34.62 ![X0, X1, X2]: 189.46/34.62 '#l_lift346'(sk_X80(X1, X0, X2), X1) = '#l_lift342'(X2, X1, X0), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('18', plain, 189.46/34.62 ![X73, X74, X75, X76]: 189.46/34.62 (~ in(X73, X74) 189.46/34.62 | in( 189.46/34.62 setunion(dsetconstr(X75, (^[Y0 : $i]: in(kpair(X73, Y0), X76)))), 189.46/34.62 X75) 189.46/34.62 | ~ ex1(X75, (^[Y0 : $i]: in(kpair(sk_X34(X76, X75, X74), Y0), X76))) 189.46/34.62 | ~ breln(X74, X75, X76)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('19', plain, 189.46/34.62 ![X66]: 189.46/34.62 ( ex1(sk_X88, (^[Y0 : $i]: in(kpair(X66, Y0), sk_X94))) 189.46/34.62 | ~ in(X66, sk_X86)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('20', plain, 189.46/34.62 ![X66, X67]: '#l_lift343'(X66, X67) = in(kpair(X66, X67), sk_X94), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('21', plain, ![X0]: '#l_lift346'(X0, sk_X94) = '#l_lift343'(X0), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('22', plain, 189.46/34.62 ![X66]: 189.46/34.62 ( ex1(sk_X88, (^[Y0 : $i]: in(kpair(X66, Y0), sk_X94))) 189.46/34.62 | ~ in(X66, sk_X86)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('23', plain, 189.46/34.62 ![X66, X67]: '#l_lift343'(X66, X67) = in(kpair(X66, X67), sk_X94), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('24', plain, 189.46/34.62 ![X66]: ( ex1(sk_X88, '#l_lift343'(X66)) | ~ in(X66, sk_X86)), 189.46/34.62 inference('lambda_lifting', [status(thm)], ['22', '23'])). 189.46/34.62 tff('25', plain, 189.46/34.62 ![X57, X58, X59, X60]: 189.46/34.62 (~ in(X57, X58) 189.46/34.62 | in(kpair(X57, ap(X58, X59, X60, X57)), X60) 189.46/34.62 | ~ ex1(X59, (^[Y0 : $i]: in(kpair(sk_X62(X60, X59, X58), Y0), X60))) 189.46/34.62 | ~ breln(X58, X59, X60)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('26', plain, 189.46/34.62 ![X57, X58, X59, X60]: 189.46/34.62 (~ in(X57, X58) 189.46/34.62 | in(kpair(X57, ap(X58, X59, X60, X57)), X60) 189.46/34.62 | ~ ex1(X59, (^[Y0 : $i]: in(kpair(sk_X62(X60, X59, X58), Y0), X60))) 189.46/34.62 | ~ breln(X58, X59, X60)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('27', plain, 189.46/34.62 ![X58, X59, X60, X61]: 189.46/34.62 '#l_lift341'(X58, X59, X60, X61) 189.46/34.62 = in(kpair(sk_X62(X60, X59, X58), X61), X60), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('28', plain, 189.46/34.62 ![X57, X58, X59, X60]: 189.46/34.62 (~ in(X57, X58) 189.46/34.62 | in(kpair(X57, ap(X58, X59, X60, X57)), X60) 189.46/34.62 | ~ ex1(X59, '#l_lift341'(X58, X59, X60)) 189.46/34.62 | ~ breln(X58, X59, X60)), 189.46/34.62 inference('lambda_lifting', [status(thm)], ['25', '27'])). 189.46/34.62 tff('29', plain, 189.46/34.62 ![X73, X74, X75, X76]: 189.46/34.62 (~ in(X73, X74) 189.46/34.62 | in( 189.46/34.62 setunion(dsetconstr(X75, (^[Y0 : $i]: in(kpair(X73, Y0), X76)))), 189.46/34.62 X75) 189.46/34.62 | ~ ex1(X75, (^[Y0 : $i]: in(kpair(sk_X34(X76, X75, X74), Y0), X76))) 189.46/34.62 | ~ breln(X74, X75, X76)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('30', plain, 189.46/34.62 ![X58, X59, X60, X61]: 189.46/34.62 '#l_lift341'(X58, X59, X60, X61) 189.46/34.62 = in(kpair(sk_X62(X60, X59, X58), X61), X60), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('31', plain, 189.46/34.62 ![X0, X1, X2]: 189.46/34.62 '#l_lift346'(sk_X62(X0, X1, X2), X0) = '#l_lift341'(X2, X1, X0), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('32', plain, ~ in(kpair(sk_X100, sk_X102), sk_X90), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('33', plain, in(sk_X102, sk_X88), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('34', plain, breln(sk_X86, sk_X88, sk_X94), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('35', plain, 189.46/34.62 ![X73, X74, X75, X76]: 189.46/34.62 (~ in(X73, X74) 189.46/34.62 | in( 189.46/34.62 setunion(dsetconstr(X75, (^[Y0 : $i]: in(kpair(X73, Y0), X76)))), 189.46/34.62 X75) 189.46/34.62 | ~ ex1(X75, (^[Y0 : $i]: in(kpair(sk_X34(X76, X75, X74), Y0), X76))) 189.46/34.62 | ~ breln(X74, X75, X76)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('36', plain, 189.46/34.62 ![X68]: 189.46/34.62 ( ex1(sk_X88, (^[Y0 : $i]: in(kpair(X68, Y0), sk_X90))) 189.46/34.62 | ~ in(X68, sk_X86)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('37', plain, 189.46/34.62 ![X68, X69]: '#l_lift344'(X68, X69) = in(kpair(X68, X69), sk_X90), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('38', plain, ![X0]: '#l_lift346'(X0, sk_X90) = '#l_lift344'(X0), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('39', plain, 189.46/34.62 ![X68]: 189.46/34.62 ( ex1(sk_X88, (^[Y0 : $i]: in(kpair(X68, Y0), sk_X90))) 189.46/34.62 | ~ in(X68, sk_X86)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('40', plain, 189.46/34.62 ![X68, X69]: '#l_lift344'(X68, X69) = in(kpair(X68, X69), sk_X90), 189.46/34.62 define([status(thm)])). 189.46/34.62 tff('41', plain, 189.46/34.62 ![X68]: ( ex1(sk_X88, '#l_lift344'(X68)) | ~ in(X68, sk_X86)), 189.46/34.62 inference('lambda_lifting', [status(thm)], ['39', '40'])). 189.46/34.62 tff('42', plain, in(kpair(sk_X100, sk_X102), sk_X94), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('43', plain, in(sk_X100, sk_X86), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('44', plain, breln(sk_X86, sk_X88, sk_X90), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('45', plain, 189.46/34.62 ![X61, X62, X63, X64, X65]: 189.46/34.62 (~ in(X61, X62) 189.46/34.62 | ~ in(kpair(X61, X63), X64) 189.46/34.62 | ap(X62, X65, X64, X61) = X63 189.46/34.62 | ~ in(X63, X65) 189.46/34.62 | in(sk_X80(X64, X65, X62), X62) 189.46/34.62 | ~ breln(X62, X65, X64)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('46', plain, 189.46/34.62 ![X67]: 189.46/34.62 (ap(sk_X86, sk_X88, sk_X90, X67) = ap(sk_X86, sk_X88, sk_X94, X67) 189.46/34.62 | ~ in(X67, sk_X86)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('47', plain, 189.46/34.62 ![X57, X58, X59, X60]: 189.46/34.62 (~ in(X57, X58) 189.46/34.62 | in(kpair(X57, ap(X58, X59, X60, X57)), X60) 189.46/34.62 | in(sk_X62(X60, X59, X58), X58) 189.46/34.62 | ~ breln(X58, X59, X60)), 189.46/34.62 inference('cnf', [status(esa)], [zf_stmt_1])). 189.46/34.62 tff('48', plain, $false, 189.46/34.62 inference('eprover', [status(thm)], 189.46/34.62 ['14', '17', '21', '24', '28', '31', '32', '33', '34', '38', 189.46/34.62 '41', '42', '43', '44', '45', '46', '47'])). 189.46/34.62 189.46/34.62 % SZS output end Refutation 189.46/34.62 189.46/34.62 189.46/34.62 % /export/starexec/sandbox/solver/bin/lams/s1.f.sh running for 15s 189.46/34.62 % Terminating... 190.08/34.77 % Runner terminated. 190.08/34.78 % Zipperpin 1.5 exiting 190.08/34.78 EOF