0.00/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.hBPqJIhzfM 0.08/0.27 % Computer : n016.cluster.edu 0.08/0.27 % Model : x86_64 x86_64 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.27 % Memory : 8042.1875MB 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.27 % CPULimit : 960 0.08/0.27 % DateTime : Thu Jul 2 08:40:35 EDT 2020 0.08/0.28 % CPUTime : 0.08/0.28 % Running portfolio for 120 s 0.08/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.08/0.28 % Number of cores: 8 0.12/0.28 % Python version: Python 3.6.8 0.12/0.28 % Running in HO mode 0.12/0.48 % Estimated wc time : 1286 0.12/0.48 % Estimated cpu time (7 cpus) : 183.71428571428572 0.12/0.57 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.12/0.58 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.12/0.59 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 1.06/0.61 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 1.06/0.61 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 1.06/0.61 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 1.06/0.62 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 65.50/10.08 % Solved by lams/b.rpo.sh. 65.50/10.08 % Running : timeout 8 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.hBPqJIhzfM/e_input05219f --cpu-limit=6 --auto -s -p. 65.50/10.08 % done 1622 iterations in 9.456s 65.50/10.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 65.50/10.08 % SZS output start Refutation 65.50/10.08 tff(setextT, conjecture, 65.50/10.08 (setextAx => 65.50/10.08 (emptysetAx => 65.50/10.08 (setadjoinAx => 65.50/10.08 (powersetAx => 65.50/10.08 (setunionAx => 65.50/10.08 (omega0Ax => 65.50/10.08 (omegaSAx => 65.50/10.08 (omegaIndAx => 65.50/10.08 (replAx => 65.50/10.08 (foundationAx => 65.50/10.08 (wellorderingAx => 65.50/10.08 (descrp => 65.50/10.08 (dsetconstrI => 65.50/10.08 (dsetconstrEL => 65.50/10.08 (dsetconstrER => 65.50/10.08 (exuE1 => 65.50/10.08 (prop2setE => 65.50/10.08 (emptysetE => 65.50/10.08 (emptysetimpfalse => 65.50/10.08 (notinemptyset => 65.50/10.08 (exuE3e => 65.50/10.08 (setext => 65.50/10.08 (emptyI => 65.50/10.08 (noeltsimpempty => 65.50/10.08 (setbeta => 65.50/10.08 (nonemptyE1 => 65.50/10.08 (nonemptyI => 65.50/10.08 (nonemptyI1 => 65.50/10.08 (setadjoinIL => 65.50/10.08 (emptyinunitempty => 65.50/10.08 (setadjoinIR => 65.50/10.08 (setadjoinE => 65.50/10.08 (setadjoinOr => 65.50/10.08 (setoftrueEq => 65.50/10.08 (powersetI => 65.50/10.08 (emptyinPowerset => 65.50/10.08 (emptyInPowerset => 65.50/10.08 (powersetE => 65.50/10.08 (setunionI => 65.50/10.08 (setunionE => 65.50/10.08 (subPowSU => 65.50/10.08 (exuE2 => 65.50/10.08 (nonemptyImpWitness => 65.50/10.08 (uniqinunit => 65.50/10.08 (notinsingleton => 65.50/10.08 (eqinunit => 65.50/10.08 (singletonsswitch => 65.50/10.08 (upairsetE => 65.50/10.08 (upairsetIL => 65.50/10.08 (upairsetIR => 65.50/10.08 (emptyE1 => 65.50/10.08 (vacuousDall => 65.50/10.08 (quantDeMorgan1 => 65.50/10.08 (quantDeMorgan2 => 65.50/10.08 (quantDeMorgan3 => 65.50/10.08 (quantDeMorgan4 => 65.50/10.08 (prop2setI => 65.50/10.08 (prop2set2propI => 65.50/10.08 (notdexE => 65.50/10.08 (notdallE => 65.50/10.08 (exuI1 => 65.50/10.08 (exuI3 => 65.50/10.08 (exuI2 => 65.50/10.08 (inCongP => 65.50/10.08 (in__Cong => 65.50/10.08 (exuE3u => 65.50/10.08 ( 65.50/10.08 exu__Cong => 65.50/10.08 ( 65.50/10.08 emptyset__Cong => 65.50/10.08 ( 65.50/10.08 setadjoin__Cong => 65.50/10.09 ( 65.50/10.09 powerset__Cong => 65.50/10.09 ( 65.50/10.09 setunion__Cong => 65.50/10.09 ( 65.50/10.09 omega__Cong => 65.50/10.09 ( 65.50/10.09 exuEu => 65.50/10.09 ( 65.50/10.09 descr__Cong => 65.50/10.09 ( 65.50/10.09 dsetconstr__Cong => 65.50/10.09 ( 65.50/10.09 subsetI1 => 65.50/10.09 ( 65.50/10.09 eqimpsubset2 => 65.50/10.09 ( 65.50/10.09 eqimpsubset1 => 65.50/10.09 ( 65.50/10.09 subsetI2 => 65.50/10.09 ( 65.50/10.09 emptysetsubset => 65.50/10.09 ( 65.50/10.09 subsetE => 65.50/10.09 ( 65.50/10.09 subsetE2 => 65.50/10.09 ( 65.50/10.09 notsubsetI => 65.50/10.09 ( 65.50/10.09 notequalI1 => 65.50/10.09 ( 65.50/10.09 notequalI2 => 65.50/10.09 ( 65.50/10.09 subsetRefl => 65.50/10.09 ( 65.50/10.09 subsetTrans => 65.50/10.09 ( 65.50/10.09 setadjoinSub => 65.50/10.09 ( 65.50/10.09 setadjoinSub2 => 65.50/10.09 ( 65.50/10.09 subset2powerset => 65.50/10.09 ( 65.50/10.09 setextsub => 65.50/10.09 ( 65.50/10.09 subsetemptysetimpeq => 65.50/10.09 ( 65.50/10.09 powersetI1 => 65.50/10.09 ( 65.50/10.09 powersetE1 => 65.50/10.09 ( 65.50/10.09 inPowerset => 65.50/10.09 ( 65.50/10.09 powersetsubset => 65.50/10.09 ( 65.50/10.09 sepInPowerset => 65.50/10.09 ( 65.50/10.09 sepSubset => 65.50/10.09 ( 65.50/10.09 binunionIL => 65.50/10.09 ( 65.50/10.09 upairset2IR => 65.50/10.09 ( 65.50/10.09 binunionIR => 65.50/10.09 ( 65.50/10.09 binunionEcases => 65.50/10.09 ( 65.50/10.09 binunionE => 65.50/10.09 ( 65.50/10.09 binunionLsub => 65.50/10.09 ( 65.50/10.09 binunionRsub => 65.50/10.09 ( 65.50/10.09 binintersectI => 65.50/10.09 ( 65.50/10.09 binintersectSubset5 => 65.50/10.09 ( 65.50/10.09 binintersectEL => 65.50/10.09 ( 65.50/10.09 binintersectLsub => 65.50/10.09 ( 65.50/10.09 binintersectSubset2 => 65.50/10.09 ( 65.50/10.09 binintersectSubset3 => 65.50/10.09 ( 65.50/10.09 binintersectER => 65.50/10.09 ( 65.50/10.09 disjointsetsI1 => 65.50/10.09 ( 65.50/10.09 binintersectRsub => 65.50/10.09 ( 65.50/10.09 binintersectSubset4 => 65.50/10.09 ( 65.50/10.09 binintersectSubset1 => 65.50/10.09 ( 65.50/10.09 bs114d => 65.50/10.09 ( 65.50/10.09 setminusI => 65.50/10.09 ( 65.50/10.09 setminusEL => 65.50/10.09 ( 65.50/10.09 setminusER => 65.50/10.09 ( 65.50/10.09 setminusSubset2 => 65.50/10.09 ( 65.50/10.09 setminusERneg => 65.50/10.09 ( 65.50/10.09 setminusELneg => 65.50/10.09 ( 65.50/10.09 setminusILneg => 65.50/10.09 ( 65.50/10.09 setminusIRneg => 65.50/10.09 ( 65.50/10.09 setminusLsub => 65.50/10.09 ( 65.50/10.09 setminusSubset1 => 65.50/10.09 ( 65.50/10.09 symdiffE => 65.50/10.09 ( 65.50/10.09 symdiffI1 => 65.50/10.09 ( 65.50/10.09 symdiffI2 => 65.50/10.09 ( 65.50/10.09 symdiffIneg1 => 65.50/10.09 ( 65.50/10.09 symdiffIneg2 => 65.50/10.09 ( 65.50/10.09 secondinupair => 65.50/10.09 ( 65.50/10.09 setukpairIL => 65.50/10.09 ( 65.50/10.09 setukpairIR => 65.50/10.09 ( 65.50/10.09 kpairiskpair => 65.50/10.09 ( 65.50/10.09 kpairp => 65.50/10.09 ( 65.50/10.09 singletonsubset => 65.50/10.09 ( 65.50/10.09 singletoninpowerset => 65.50/10.09 ( 65.50/10.09 singletoninpowunion => 65.50/10.09 ( 65.50/10.09 upairset2E => 65.50/10.09 ( 65.50/10.09 upairsubunion => 65.50/10.09 ( 65.50/10.09 upairinpowunion => 65.50/10.09 ( 65.50/10.09 ubforcartprodlem1 => 65.50/10.09 ( 65.50/10.09 ubforcartprodlem2 => 65.50/10.09 ( 65.50/10.09 ubforcartprodlem3 => 65.50/10.09 ( 65.50/10.09 cartprodpairin => 65.50/10.09 ( 65.50/10.09 cartprodmempair1 => 65.50/10.09 ( 65.50/10.09 cartprodmempair => 65.50/10.09 ( 65.50/10.09 setunionE2 => 65.50/10.09 ( 65.50/10.09 setunionsingleton1 => 65.50/10.09 ( 65.50/10.09 setunionsingleton2 => 65.50/10.09 ( 65.50/10.09 setunionsingleton => 65.50/10.09 ( 65.50/10.09 singletonprop => 65.50/10.09 ( 65.50/10.09 ex1E1 => 65.50/10.09 ( 65.50/10.09 ex1I => 65.50/10.09 ( 65.50/10.09 ex1I2 => 65.50/10.09 ( 65.50/10.09 singletonsuniq => 65.50/10.09 ( 65.50/10.09 setukpairinjL1 => 65.50/10.09 ( 65.50/10.09 kfstsingleton => 65.50/10.09 ( 65.50/10.09 theprop => 65.50/10.09 ( 65.50/10.09 kfstpairEq => 65.50/10.09 ( 65.50/10.09 cartprodfstin => 65.50/10.09 ( 65.50/10.09 setukpairinjL2 => 65.50/10.09 ( 65.50/10.09 setukpairinjL => 65.50/10.09 ( 65.50/10.09 setukpairinjR11 => 65.50/10.09 ( 65.50/10.09 setukpairinjR12 => 65.50/10.09 ( 65.50/10.09 setukpairinjR1 => 65.50/10.09 ( 65.50/10.09 upairequniteq => 65.50/10.09 ( 65.50/10.09 setukpairinjR2 => 65.50/10.09 ( 65.50/10.09 setukpairinjR => 65.50/10.09 ( 65.50/10.09 ksndsingleton => 65.50/10.09 ( 65.50/10.09 ksndpairEq => 65.50/10.09 ( 65.50/10.09 kpairsurjEq => 65.50/10.09 ( 65.50/10.09 cartprodsndin => 65.50/10.09 ( 65.50/10.09 cartprodpairmemEL => 65.50/10.09 ( 65.50/10.09 cartprodpairmemER => 65.50/10.09 ( 65.50/10.09 cartprodmempaircEq => 65.50/10.09 ( 65.50/10.09 cartprodfstpairEq => 65.50/10.09 ( 65.50/10.09 cartprodsndpairEq => 65.50/10.09 ( 65.50/10.09 cartprodpairsurjEq => 65.50/10.09 ( 65.50/10.09 dpsetconstrI => 65.50/10.09 ( 65.50/10.09 dpsetconstrSub => 65.50/10.09 ( 65.50/10.09 setOfPairsIsBReln => 65.50/10.09 ( 65.50/10.09 dpsetconstrERa => 65.50/10.09 ( 65.50/10.09 dpsetconstrEL1 => 65.50/10.09 ( 65.50/10.09 dpsetconstrEL2 => 65.50/10.09 ( 65.50/10.09 dpsetconstrER => 65.50/10.09 ( 65.50/10.09 funcImageSingleton => 65.50/10.09 ( 65.50/10.09 apProp => 65.50/10.09 ( 65.50/10.09 app => 65.50/10.09 ( 65.50/10.09 infuncsetfunc => 65.50/10.09 ( 65.50/10.09 ap2p => 65.50/10.09 ( 65.50/10.09 funcinfuncset => 65.50/10.09 ( 65.50/10.09 lamProp => 65.50/10.09 ( 65.50/10.09 lamp => 65.50/10.09 ( 65.50/10.09 lam2p => 65.50/10.09 ( 65.50/10.09 brelnall1 => 65.50/10.09 ( 65.50/10.09 brelnall2 => 65.50/10.09 ( 65.50/10.09 ex1E2 => 65.50/10.09 ( 65.50/10.09 funcGraphProp1 => 65.50/10.09 ( 65.50/10.09 funcGraphProp3 => 65.50/10.09 ( 65.50/10.09 funcGraphProp2 => 65.50/10.09 ( 65.50/10.09 funcextLem => 65.50/10.09 ( 65.50/10.09 funcGraphProp4 => 65.50/10.09 ( 65.50/10.09 subbreln => 65.50/10.09 ( 65.50/10.09 eqbreln => 65.50/10.09 ( 65.50/10.09 funcext => 65.50/10.09 ( 65.50/10.09 funcext2 => 65.50/10.09 ( 65.50/10.09 ap2apEq1 => 65.50/10.09 ( 65.50/10.09 ap2apEq2 => 65.50/10.09 ( 65.50/10.09 beta1 => 65.50/10.09 ( 65.50/10.09 eta1 => 65.50/10.09 ( 65.50/10.09 lam2lamEq => 65.50/10.09 ( 65.50/10.09 beta2 => 65.50/10.09 ( 65.50/10.09 eta2 => 65.50/10.09 ( 65.50/10.09 iffalseProp1 => 65.50/10.09 ( 65.50/10.09 iffalseProp2 => 65.50/10.09 ( 65.50/10.09 iftrueProp1 => 65.50/10.09 ( 65.50/10.09 iftrueProp2 => 65.50/10.09 ( 65.50/10.09 ifSingleton => 65.50/10.09 ( 65.50/10.09 ifp => 65.50/10.09 ( 65.50/10.09 theeq => 65.50/10.09 ( 65.50/10.09 iftrue => 65.50/10.09 ( 65.50/10.09 iffalse => 65.50/10.09 ( 65.50/10.09 iftrueorfalse => 65.50/10.09 ( 65.50/10.09 binintersectT_lem => 65.50/10.09 ( 65.50/10.09 binunionT_lem => 65.50/10.09 ( 65.50/10.09 powersetT_lem => 65.50/10.09 ( 65.50/10.09 setminusT_lem => 65.50/10.09 ( 65.50/10.09 complementT_lem => 65.50/10.09 ( 65.50/10.09 ![A,X]: 65.50/10.09 (in( 65.50/10.09 X, 65.50/10.09 powerset( 65.50/10.09 A)) => 65.50/10.09 (![Y]: 65.50/10.09 (in( 65.50/10.09 Y, 65.50/10.09 powerset( 65.50/10.09 A)) => 65.50/10.09 (( 65.50/10.09 ![Xx]: 65.50/10.09 (in(Xx,A) => 65.50/10.09 (in(Xx,X) => 65.50/10.09 in(Xx,Y)))) => 65.50/10.09 (( 65.50/10.09 ![Xx]: 65.50/10.09 (in(Xx,A) => 65.50/10.09 (in(Xx,Y) => 65.50/10.09 in(Xx,X)))) => 65.50/10.09 (X = Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 65.50/10.09 tff(zf_stmt_0, negated_conjecture, 65.50/10.09 (~ 65.50/10.09 (setextAx => 65.50/10.09 (emptysetAx => 65.50/10.09 (setadjoinAx => 65.50/10.09 (powersetAx => 65.50/10.09 (setunionAx => 65.50/10.09 (omega0Ax => 65.50/10.09 (omegaSAx => 65.50/10.09 (omegaIndAx => 65.50/10.09 (replAx => 65.50/10.09 (foundationAx => 65.50/10.09 (wellorderingAx => 65.50/10.09 (descrp => 65.50/10.09 (dsetconstrI => 65.50/10.09 (dsetconstrEL => 65.50/10.09 (dsetconstrER => 65.50/10.09 (exuE1 => 65.50/10.09 (prop2setE => 65.50/10.09 (emptysetE => 65.50/10.09 (emptysetimpfalse => 65.50/10.09 (notinemptyset => 65.50/10.09 (exuE3e => 65.50/10.09 (setext => 65.50/10.09 (emptyI => 65.50/10.09 (noeltsimpempty => 65.50/10.09 (setbeta => 65.50/10.09 (nonemptyE1 => 65.50/10.09 (nonemptyI => 65.50/10.09 (nonemptyI1 => 65.50/10.09 (setadjoinIL => 65.50/10.09 (emptyinunitempty => 65.50/10.09 (setadjoinIR => 65.50/10.09 (setadjoinE => 65.50/10.09 (setadjoinOr => 65.50/10.09 (setoftrueEq => 65.50/10.09 (powersetI => 65.50/10.09 (emptyinPowerset => 65.50/10.09 (emptyInPowerset => 65.50/10.09 (powersetE => 65.50/10.09 (setunionI => 65.50/10.09 (setunionE => 65.50/10.09 (subPowSU => 65.50/10.09 (exuE2 => 65.50/10.09 (nonemptyImpWitness => 65.50/10.09 (uniqinunit => 65.50/10.09 (notinsingleton => 65.50/10.09 (eqinunit => 65.50/10.09 (singletonsswitch => 65.50/10.09 (upairsetE => 65.50/10.09 (upairsetIL => 65.50/10.09 (upairsetIR => 65.50/10.09 (emptyE1 => 65.50/10.09 (vacuousDall => 65.50/10.09 (quantDeMorgan1 => 65.50/10.09 (quantDeMorgan2 => 65.50/10.09 (quantDeMorgan3 => 65.50/10.09 (quantDeMorgan4 => 65.50/10.09 (prop2setI => 65.50/10.09 (prop2set2propI => 65.50/10.09 (notdexE => 65.50/10.09 (notdallE => 65.50/10.09 (exuI1 => 65.50/10.09 (exuI3 => 65.50/10.09 (exuI2 => 65.50/10.09 (inCongP => 65.50/10.09 ( 65.50/10.09 in__Cong => 65.50/10.09 ( 65.50/10.09 exuE3u => 65.50/10.09 ( 65.50/10.09 exu__Cong => 65.50/10.09 ( 65.50/10.09 emptyset__Cong => 65.50/10.09 ( 65.50/10.09 setadjoin__Cong => 65.50/10.09 ( 65.50/10.09 powerset__Cong => 65.50/10.09 ( 65.50/10.09 setunion__Cong => 65.50/10.09 ( 65.50/10.09 omega__Cong => 65.50/10.09 ( 65.50/10.09 exuEu => 65.50/10.09 ( 65.50/10.09 descr__Cong => 65.50/10.09 ( 65.50/10.09 dsetconstr__Cong => 65.50/10.09 ( 65.50/10.09 subsetI1 => 65.50/10.09 ( 65.50/10.09 eqimpsubset2 => 65.50/10.09 ( 65.50/10.09 eqimpsubset1 => 65.50/10.09 ( 65.50/10.09 subsetI2 => 65.50/10.09 ( 65.50/10.09 emptysetsubset => 65.50/10.09 ( 65.50/10.09 subsetE => 65.50/10.09 ( 65.50/10.09 subsetE2 => 65.50/10.09 ( 65.50/10.09 notsubsetI => 65.50/10.09 ( 65.50/10.09 notequalI1 => 65.50/10.09 ( 65.50/10.09 notequalI2 => 65.50/10.09 ( 65.50/10.09 subsetRefl => 65.50/10.09 ( 65.50/10.09 subsetTrans => 65.50/10.09 ( 65.50/10.09 setadjoinSub => 65.50/10.09 ( 65.50/10.09 setadjoinSub2 => 65.50/10.09 ( 65.50/10.09 subset2powerset => 65.50/10.09 ( 65.50/10.09 setextsub => 65.50/10.09 ( 65.50/10.09 subsetemptysetimpeq => 65.50/10.09 ( 65.50/10.09 powersetI1 => 65.50/10.09 ( 65.50/10.09 powersetE1 => 65.50/10.09 ( 65.50/10.09 inPowerset => 65.50/10.09 ( 65.50/10.09 powersetsubset => 65.50/10.09 ( 65.50/10.09 sepInPowerset => 65.50/10.09 ( 65.50/10.09 sepSubset => 65.50/10.09 ( 65.50/10.09 binunionIL => 65.50/10.09 ( 65.50/10.09 upairset2IR => 65.50/10.09 ( 65.50/10.09 binunionIR => 65.50/10.09 ( 65.50/10.09 binunionEcases => 65.50/10.09 ( 65.50/10.09 binunionE => 65.50/10.09 ( 65.50/10.09 binunionLsub => 65.50/10.09 ( 65.50/10.09 binunionRsub => 65.50/10.09 ( 65.50/10.09 binintersectI => 65.50/10.09 ( 65.50/10.09 binintersectSubset5 => 65.50/10.09 ( 65.50/10.09 binintersectEL => 65.50/10.09 ( 65.50/10.09 binintersectLsub => 65.50/10.09 ( 65.50/10.09 binintersectSubset2 => 65.50/10.09 ( 65.50/10.09 binintersectSubset3 => 65.50/10.09 ( 65.50/10.09 binintersectER => 65.50/10.09 ( 65.50/10.09 disjointsetsI1 => 65.50/10.09 ( 65.50/10.09 binintersectRsub => 65.50/10.09 ( 65.50/10.09 binintersectSubset4 => 65.50/10.09 ( 65.50/10.09 binintersectSubset1 => 65.50/10.09 ( 65.50/10.09 bs114d => 65.50/10.09 ( 65.50/10.09 setminusI => 65.50/10.09 ( 65.50/10.09 setminusEL => 65.50/10.09 ( 65.50/10.09 setminusER => 65.50/10.09 ( 65.50/10.09 setminusSubset2 => 65.50/10.09 ( 65.50/10.09 setminusERneg => 65.50/10.09 ( 65.50/10.09 setminusELneg => 65.50/10.09 ( 65.50/10.09 setminusILneg => 65.50/10.09 ( 65.50/10.09 setminusIRneg => 65.50/10.09 ( 65.50/10.09 setminusLsub => 65.50/10.09 ( 65.50/10.09 setminusSubset1 => 65.50/10.09 ( 65.50/10.09 symdiffE => 65.50/10.09 ( 65.50/10.09 symdiffI1 => 65.50/10.09 ( 65.50/10.09 symdiffI2 => 65.50/10.09 ( 65.50/10.09 symdiffIneg1 => 65.50/10.09 ( 65.50/10.09 symdiffIneg2 => 65.50/10.09 ( 65.50/10.09 secondinupair => 65.50/10.09 ( 65.50/10.09 setukpairIL => 65.50/10.09 ( 65.50/10.09 setukpairIR => 65.50/10.09 ( 65.50/10.09 kpairiskpair => 65.50/10.09 ( 65.50/10.09 kpairp => 65.50/10.09 ( 65.50/10.09 singletonsubset => 65.50/10.09 ( 65.50/10.09 singletoninpowerset => 65.50/10.09 ( 65.50/10.09 singletoninpowunion => 65.50/10.09 ( 65.50/10.09 upairset2E => 65.50/10.09 ( 65.50/10.09 upairsubunion => 65.50/10.09 ( 65.50/10.09 upairinpowunion => 65.50/10.09 ( 65.50/10.09 ubforcartprodlem1 => 65.50/10.09 ( 65.50/10.09 ubforcartprodlem2 => 65.50/10.09 ( 65.50/10.09 ubforcartprodlem3 => 65.50/10.09 ( 65.50/10.09 cartprodpairin => 65.50/10.09 ( 65.50/10.09 cartprodmempair1 => 65.50/10.09 ( 65.50/10.09 cartprodmempair => 65.50/10.09 ( 65.50/10.09 setunionE2 => 65.50/10.09 ( 65.50/10.09 setunionsingleton1 => 65.50/10.09 ( 65.50/10.09 setunionsingleton2 => 65.50/10.09 ( 65.50/10.09 setunionsingleton => 65.50/10.09 ( 65.50/10.09 singletonprop => 65.50/10.09 ( 65.50/10.09 ex1E1 => 65.50/10.09 ( 65.50/10.09 ex1I => 65.50/10.09 ( 65.50/10.09 ex1I2 => 65.50/10.09 ( 65.50/10.09 singletonsuniq => 65.50/10.09 ( 65.50/10.09 setukpairinjL1 => 65.50/10.09 ( 65.50/10.09 kfstsingleton => 65.50/10.09 ( 65.50/10.09 theprop => 65.50/10.09 ( 65.50/10.09 kfstpairEq => 65.50/10.09 ( 65.50/10.09 cartprodfstin => 65.50/10.09 ( 65.50/10.09 setukpairinjL2 => 65.50/10.09 ( 65.50/10.09 setukpairinjL => 65.50/10.09 ( 65.50/10.09 setukpairinjR11 => 65.50/10.09 ( 65.50/10.09 setukpairinjR12 => 65.50/10.09 ( 65.50/10.09 setukpairinjR1 => 65.50/10.09 ( 65.50/10.09 upairequniteq => 65.50/10.09 ( 65.50/10.09 setukpairinjR2 => 65.50/10.09 ( 65.50/10.09 setukpairinjR => 65.50/10.09 ( 65.50/10.09 ksndsingleton => 65.50/10.09 ( 65.50/10.09 ksndpairEq => 65.50/10.09 ( 65.50/10.09 kpairsurjEq => 65.50/10.09 ( 65.50/10.09 cartprodsndin => 65.50/10.09 ( 65.50/10.09 cartprodpairmemEL => 65.50/10.09 ( 65.50/10.09 cartprodpairmemER => 65.50/10.09 ( 65.50/10.09 cartprodmempaircEq => 65.50/10.09 ( 65.50/10.09 cartprodfstpairEq => 65.50/10.09 ( 65.50/10.09 cartprodsndpairEq => 65.50/10.09 ( 65.50/10.09 cartprodpairsurjEq => 65.50/10.09 ( 65.50/10.09 dpsetconstrI => 65.50/10.09 ( 65.50/10.09 dpsetconstrSub => 65.50/10.09 ( 65.50/10.09 setOfPairsIsBReln => 65.50/10.09 ( 65.50/10.09 dpsetconstrERa => 65.50/10.09 ( 65.50/10.09 dpsetconstrEL1 => 65.50/10.09 ( 65.50/10.09 dpsetconstrEL2 => 65.50/10.09 ( 65.50/10.09 dpsetconstrER => 65.50/10.09 ( 65.50/10.09 funcImageSingleton => 65.50/10.09 ( 65.50/10.09 apProp => 65.50/10.09 ( 65.50/10.09 app => 65.50/10.09 ( 65.50/10.09 infuncsetfunc => 65.50/10.09 ( 65.50/10.09 ap2p => 65.50/10.09 ( 65.50/10.09 funcinfuncset => 65.50/10.09 ( 65.50/10.09 lamProp => 65.50/10.09 ( 65.50/10.09 lamp => 65.50/10.09 ( 65.50/10.09 lam2p => 65.50/10.09 ( 65.50/10.09 brelnall1 => 65.50/10.09 ( 65.50/10.09 brelnall2 => 65.50/10.09 ( 65.50/10.09 ex1E2 => 65.50/10.09 ( 65.50/10.09 funcGraphProp1 => 65.50/10.09 ( 65.50/10.09 funcGraphProp3 => 65.50/10.09 ( 65.50/10.09 funcGraphProp2 => 65.50/10.09 ( 65.50/10.09 funcextLem => 65.50/10.09 ( 65.50/10.09 funcGraphProp4 => 65.50/10.09 ( 65.50/10.09 subbreln => 65.50/10.09 ( 65.50/10.09 eqbreln => 65.50/10.09 ( 65.50/10.09 funcext => 65.50/10.09 ( 65.50/10.09 funcext2 => 65.50/10.09 ( 65.50/10.09 ap2apEq1 => 65.50/10.09 ( 65.50/10.09 ap2apEq2 => 65.50/10.09 ( 65.50/10.09 beta1 => 65.50/10.09 ( 65.50/10.09 eta1 => 65.50/10.09 ( 65.50/10.09 lam2lamEq => 65.50/10.09 ( 65.50/10.09 beta2 => 65.50/10.09 ( 65.50/10.09 eta2 => 65.50/10.09 ( 65.50/10.09 iffalseProp1 => 65.50/10.09 ( 65.50/10.09 iffalseProp2 => 65.50/10.09 ( 65.50/10.09 iftrueProp1 => 65.50/10.09 ( 65.50/10.09 iftrueProp2 => 65.50/10.09 ( 65.50/10.09 ifSingleton => 65.50/10.09 ( 65.50/10.09 ifp => 65.50/10.09 ( 65.50/10.09 theeq => 65.50/10.09 ( 65.50/10.09 iftrue => 65.50/10.09 ( 65.50/10.09 iffalse => 65.50/10.09 ( 65.50/10.09 iftrueorfalse => 65.50/10.09 ( 65.50/10.09 binintersectT_lem => 65.50/10.09 ( 65.50/10.09 binunionT_lem => 65.50/10.09 ( 65.50/10.09 powersetT_lem => 65.50/10.09 ( 65.50/10.09 setminusT_lem => 65.50/10.09 ( 65.50/10.09 complementT_lem => 65.50/10.09 ( 65.50/10.09 ![A,X]: 65.50/10.09 (in( 65.50/10.09 X, 65.50/10.09 powerset( 65.50/10.09 A)) => 65.50/10.09 (![Y]: 65.50/10.09 (in( 65.50/10.09 Y, 65.50/10.09 powerset( 65.50/10.09 A)) => 65.50/10.09 (( 65.50/10.09 ![Xx]: 65.50/10.09 (in(Xx,A) => 65.50/10.09 (in(Xx,X) => 65.50/10.09 in(Xx,Y)))) => 65.50/10.09 (( 65.50/10.09 ![Xx]: 65.50/10.09 (in(Xx,A) => 65.50/10.09 (in(Xx,Y) => 65.50/10.09 in(Xx,X)))) => 65.50/10.09 (X = Y)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 65.50/10.09 tff('0', plain, in(sk_Y_3, powerset(sk_A_173)), 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('1', plain, 65.50/10.09 ![X768]: (~ in(X768, sk_Y_3) | in(X768, sk_X_8) | ~ in(X768, sk_A_173)), 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('2', plain, subsetI1, inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('3', plain, sk_X_8 != sk_Y_3, 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff(subsetI1, axiom, 65.50/10.09 (subsetI1 <=> (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B))))). 65.50/10.09 tff('4', plain, 65.50/10.09 ![X252, X253]: 65.50/10.09 (~ in(sk_Xx_82(X252, X253), X252) | subset(X253, X252) | ~ subsetI1), 65.50/10.09 inference('cnf', [status(esa)], [subsetI1])). 65.50/10.09 tff('5', plain, 65.50/10.09 ![X252, X253]: 65.50/10.09 ( in(sk_Xx_82(X252, X253), X253) | subset(X253, X252) | ~ subsetI1), 65.50/10.09 inference('cnf', [status(esa)], [subsetI1])). 65.50/10.09 tff('6', plain, binintersectRsub, 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('7', plain, setextsub, inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('8', plain, powersetE1, inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('9', plain, binintersectSubset2, 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff(binintersectRsub, axiom, 65.50/10.09 (binintersectRsub <=> (![A,B]: subset(binintersect(A,B),B)))). 65.50/10.09 tff('10', plain, 65.50/10.09 ![X342, X343]: 65.50/10.09 ( subset(binintersect(X342, X343), X343) | ~ binintersectRsub), 65.50/10.09 inference('cnf', [status(esa)], [binintersectRsub])). 65.50/10.09 tff(setextsub, axiom, 65.50/10.09 (setextsub <=> (![A,B]: (subset(A,B) => (subset(B,A) => (A = B)))))). 65.50/10.09 tff('11', plain, 65.50/10.09 ![X288, X289]: 65.50/10.09 (~ subset(X288, X289) 65.50/10.09 | X288 = X289 65.50/10.09 | ~ subset(X289, X288) 65.50/10.09 | ~ setextsub), 65.50/10.09 inference('cnf', [status(esa)], [setextsub])). 65.50/10.09 tff(powersetAx, axiom, 65.50/10.09 (powersetAx <=> 65.50/10.09 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A))))))). 65.50/10.09 tff('12', plain, 65.50/10.09 ![X13, X14]: 65.50/10.09 ( in(sk_Xx_5(X13, X14), X13) | in(X13, powerset(X14)) | ~ powersetAx), 65.50/10.09 inference('cnf', [status(esa)], [powersetAx])). 65.50/10.09 tff('13', plain, in(sk_X_8, powerset(sk_A_173)), 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('14', plain, 65.50/10.09 ![X769]: (~ in(X769, sk_X_8) | in(X769, sk_Y_3) | ~ in(X769, sk_A_173)), 65.50/10.09 inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff(powersetE1, axiom, 65.50/10.09 (powersetE1 <=> (![A,B]: (in(B,powerset(A)) => subset(B,A))))). 65.50/10.09 tff('15', plain, 65.50/10.09 ![X293, X294]: 65.50/10.09 (~ in(X293, powerset(X294)) | subset(X293, X294) | ~ powersetE1), 65.50/10.09 inference('cnf', [status(esa)], [powersetE1])). 65.50/10.09 tff(binintersectSubset2, axiom, 65.50/10.09 (binintersectSubset2 <=> (![A,B]: (subset(A,B) => (binintersect(A,B) = A))))). 65.50/10.09 tff('16', plain, 65.50/10.09 ![X332, X333]: 65.50/10.09 (~ subset(X332, X333) 65.50/10.09 | binintersect(X332, X333) = X332 65.50/10.09 | ~ binintersectSubset2), 65.50/10.09 inference('cnf', [status(esa)], [binintersectSubset2])). 65.50/10.09 tff('17', plain, powersetAx, inference('cnf', [status(esa)], [zf_stmt_0])). 65.50/10.09 tff('18', plain, 65.50/10.09 ![X13, X14]: 65.50/10.09 (~ in(sk_Xx_5(X13, X14), X14) | in(X13, powerset(X14)) | ~ powersetAx), 65.50/10.09 inference('cnf', [status(esa)], [powersetAx])). 65.50/10.09 tff('19', plain, 65.50/10.09 ![X14, X15, X16]: 65.50/10.09 (~ in(X15, powerset(X14)) 65.50/10.09 | in(X16, X14) 65.50/10.09 | ~ in(X16, X15) 65.50/10.09 | ~ powersetAx), 65.50/10.09 inference('cnf', [status(esa)], [powersetAx])). 65.50/10.09 tff('20', plain, $false, 65.50/10.09 inference('eprover', [status(thm)], 65.50/10.09 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 65.50/10.09 '12', '13', '14', '15', '16', '17', '18', '19'])). 65.50/10.09 65.50/10.09 % SZS output end Refutation 65.50/10.09 65.50/10.09 65.50/10.09 % Terminating... 66.13/10.14 % Runner terminated. 66.13/10.15 % Zipperpin 1.5 exiting 66.13/10.16 EOF