0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.OiVD1jmxlf 0.12/0.34 % Computer : n023.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 15:44:37 EDT 2019 0.12/0.34 % CPUTime : 142.82/143.69 % Running portfolio for 180 s 142.82/143.69 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 142.82/143.69 % TempDir : /export/starexec/sandbox2/tmp/tmp.OiVD1jmxlf 142.82/143.69 % Recognized as monomorphic HO. 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.1.sh for 12 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.2.sh for 7 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.sh for 3 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.1.sh for 15 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.2.sh for 12 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.ll.e.sh for 19 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.sh for 13 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.1.sh for 10 142.82/143.69 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.e.sh for 8 142.82/143.69 % Solved by: pragmatic.rudimentary.e.sh 142.82/143.69 % Running : timeout 14 /export/starexec/sandbox2/solver/bin/eprover-ho /export/starexec/sandbox2/tmp/tmp.OiVD1jmxlf/e_input6e198c --cpu-limit=12 --auto-schedule -s -p. 142.82/143.69 % done 1153 iterations in 2.059s 142.82/143.69 % hashcons stats for terms: size 4096, num 12735, sum length 23727, buckets: small 0, median 7, big 13 142.82/143.69 % proof state stats: {active 485, passive 5966, simpl 0} 142.82/143.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 142.82/143.69 % SZS output start Refutation 142.82/143.69 tff(infuncsetfunc, conjecture, 142.82/143.69 (setextAx => 142.82/143.69 (emptysetAx => 142.82/143.69 (setadjoinAx => 142.82/143.69 (powersetAx => 142.82/143.69 (setunionAx => 142.82/143.69 (omega0Ax => 142.82/143.69 (omegaSAx => 142.82/143.69 (omegaIndAx => 142.82/143.69 (replAx => 142.82/143.69 (foundationAx => 142.82/143.69 (wellorderingAx => 142.82/143.69 (descrp => 142.82/143.69 (dsetconstrI => 142.82/143.69 (dsetconstrEL => 142.82/143.69 (dsetconstrER => 142.82/143.69 (exuE1 => 142.82/143.69 (prop2setE => 142.82/143.69 (emptysetE => 142.82/143.69 (emptysetimpfalse => 142.82/143.69 (notinemptyset => 142.82/143.69 (exuE3e => 142.82/143.69 (setext => 142.82/143.69 (emptyI => 142.82/143.69 (noeltsimpempty => 142.82/143.69 (setbeta => 142.82/143.69 (nonemptyE1 => 142.82/143.69 (nonemptyI => 142.82/143.69 (nonemptyI1 => 142.82/143.69 (setadjoinIL => 142.82/143.69 (emptyinunitempty => 142.82/143.69 (setadjoinIR => 142.82/143.69 (setadjoinE => 142.82/143.69 (setadjoinOr => 142.82/143.69 (setoftrueEq => 142.82/143.69 (powersetI => 142.82/143.69 (emptyinPowerset => 142.82/143.69 (emptyInPowerset => 142.82/143.69 (powersetE => 142.82/143.69 (setunionI => 142.82/143.69 (setunionE => 142.82/143.69 (subPowSU => 142.82/143.69 (exuE2 => 142.82/143.69 (nonemptyImpWitness => 142.82/143.69 (uniqinunit => 142.82/143.69 (notinsingleton => 142.82/143.69 (eqinunit => 142.82/143.69 (singletonsswitch => 142.82/143.69 (upairsetE => 142.82/143.69 (upairsetIL => 142.82/143.69 (upairsetIR => 142.82/143.69 (emptyE1 => 142.82/143.69 (vacuousDall => 142.82/143.69 (quantDeMorgan1 => 142.82/143.69 (quantDeMorgan2 => 142.82/143.69 (quantDeMorgan3 => 142.82/143.69 (quantDeMorgan4 => 142.82/143.69 (prop2setI => 142.82/143.69 (prop2set2propI => 142.82/143.69 (notdexE => 142.82/143.69 (notdallE => 142.82/143.69 (exuI1 => 142.82/143.69 (exuI3 => 142.82/143.69 (exuI2 => 142.82/143.69 (inCongP => 142.82/143.69 (in__Cong => 142.82/143.69 (exuE3u => 142.82/143.69 ( 142.82/143.69 exu__Cong => 142.82/143.69 ( 142.82/143.69 emptyset__Cong => 142.82/143.69 ( 142.82/143.69 setadjoin__Cong => 142.82/143.69 ( 142.82/143.69 powerset__Cong => 142.82/143.69 ( 142.82/143.69 setunion__Cong => 142.82/143.69 ( 142.82/143.69 omega__Cong => 142.82/143.69 ( 142.82/143.69 exuEu => 142.82/143.69 ( 142.82/143.69 descr__Cong => 142.82/143.69 ( 142.82/143.69 dsetconstr__Cong => 142.82/143.69 ( 142.82/143.69 subsetI1 => 142.82/143.69 ( 142.82/143.69 eqimpsubset2 => 142.82/143.69 ( 142.82/143.69 eqimpsubset1 => 142.82/143.69 ( 142.82/143.69 subsetI2 => 142.82/143.69 ( 142.82/143.69 emptysetsubset => 142.82/143.69 ( 142.82/143.69 subsetE => 142.82/143.69 ( 142.82/143.69 subsetE2 => 142.82/143.69 ( 142.82/143.69 notsubsetI => 142.82/143.69 ( 142.82/143.69 notequalI1 => 142.82/143.69 ( 142.82/143.69 notequalI2 => 142.82/143.69 ( 142.82/143.69 subsetRefl => 142.82/143.69 ( 142.82/143.69 subsetTrans => 142.82/143.69 ( 142.82/143.69 setadjoinSub => 142.82/143.69 ( 142.82/143.69 setadjoinSub2 => 142.82/143.69 ( 142.82/143.69 subset2powerset => 142.82/143.69 ( 142.82/143.69 setextsub => 142.82/143.69 ( 142.82/143.69 subsetemptysetimpeq => 142.82/143.69 ( 142.82/143.69 powersetI1 => 142.82/143.69 ( 142.82/143.69 powersetE1 => 142.82/143.69 ( 142.82/143.69 inPowerset => 142.82/143.69 ( 142.82/143.69 powersetsubset => 142.82/143.69 ( 142.82/143.69 sepInPowerset => 142.82/143.69 ( 142.82/143.69 sepSubset => 142.82/143.69 ( 142.82/143.69 binunionIL => 142.82/143.69 ( 142.82/143.69 upairset2IR => 142.82/143.69 ( 142.82/143.69 binunionIR => 142.82/143.69 ( 142.82/143.69 binunionEcases => 142.82/143.69 ( 142.82/143.69 binunionE => 142.82/143.69 ( 142.82/143.69 binunionLsub => 142.82/143.69 ( 142.82/143.69 binunionRsub => 142.82/143.69 ( 142.82/143.69 binintersectI => 142.82/143.69 ( 142.82/143.69 binintersectSubset5 => 142.82/143.69 ( 142.82/143.69 binintersectEL => 142.82/143.69 ( 142.82/143.69 binintersectLsub => 142.82/143.69 ( 142.82/143.69 binintersectSubset2 => 142.82/143.69 ( 142.82/143.69 binintersectSubset3 => 142.82/143.69 ( 142.82/143.69 binintersectER => 142.82/143.69 ( 142.82/143.69 disjointsetsI1 => 142.82/143.69 ( 142.82/143.69 binintersectRsub => 142.82/143.69 ( 142.82/143.69 binintersectSubset4 => 142.82/143.69 ( 142.82/143.69 binintersectSubset1 => 142.82/143.69 ( 142.82/143.69 bs114d => 142.82/143.69 ( 142.82/143.69 setminusI => 142.82/143.69 ( 142.82/143.69 setminusEL => 142.82/143.69 ( 142.82/143.69 setminusER => 142.82/143.69 ( 142.82/143.69 setminusSubset2 => 142.82/143.69 ( 142.82/143.69 setminusERneg => 142.82/143.69 ( 142.82/143.69 setminusELneg => 142.82/143.69 ( 142.82/143.69 setminusILneg => 142.82/143.69 ( 142.82/143.69 setminusIRneg => 142.82/143.69 ( 142.82/143.69 setminusLsub => 142.82/143.69 ( 142.82/143.69 setminusSubset1 => 142.82/143.69 ( 142.82/143.69 symdiffE => 142.82/143.69 ( 142.82/143.69 symdiffI1 => 142.82/143.69 ( 142.82/143.69 symdiffI2 => 142.82/143.69 ( 142.82/143.69 symdiffIneg1 => 142.82/143.69 ( 142.82/143.69 symdiffIneg2 => 142.82/143.69 ( 142.82/143.69 secondinupair => 142.82/143.69 ( 142.82/143.69 setukpairIL => 142.82/143.69 ( 142.82/143.69 setukpairIR => 142.82/143.69 ( 142.82/143.69 kpairiskpair => 142.82/143.69 ( 142.82/143.69 kpairp => 142.82/143.69 ( 142.82/143.69 singletonsubset => 142.82/143.69 ( 142.82/143.69 singletoninpowerset => 142.82/143.69 ( 142.82/143.69 singletoninpowunion => 142.82/143.69 ( 142.82/143.69 upairset2E => 142.82/143.69 ( 142.82/143.69 upairsubunion => 142.82/143.69 ( 142.82/143.69 upairinpowunion => 142.82/143.69 ( 142.82/143.69 ubforcartprodlem1 => 142.82/143.69 ( 142.82/143.69 ubforcartprodlem2 => 142.82/143.69 ( 142.82/143.69 ubforcartprodlem3 => 142.82/143.69 ( 142.82/143.69 cartprodpairin => 142.82/143.69 ( 142.82/143.69 cartprodmempair1 => 142.82/143.69 ( 142.82/143.69 cartprodmempair => 142.82/143.69 ( 142.82/143.69 setunionE2 => 142.82/143.69 ( 142.82/143.69 setunionsingleton1 => 142.82/143.69 ( 142.82/143.69 setunionsingleton2 => 142.82/143.69 ( 142.82/143.69 setunionsingleton => 142.82/143.69 ( 142.82/143.69 singletonprop => 142.82/143.69 ( 142.82/143.69 ex1E1 => 142.82/143.69 ( 142.82/143.69 ex1I => 142.82/143.69 ( 142.82/143.69 ex1I2 => 142.82/143.69 ( 142.82/143.69 singletonsuniq => 142.82/143.69 ( 142.82/143.69 setukpairinjL1 => 142.82/143.69 ( 142.82/143.69 kfstsingleton => 142.82/143.69 ( 142.82/143.69 theprop => 142.82/143.69 ( 142.82/143.69 kfstpairEq => 142.82/143.69 ( 142.82/143.69 cartprodfstin => 142.82/143.69 ( 142.82/143.69 setukpairinjL2 => 142.82/143.69 ( 142.82/143.69 setukpairinjL => 142.82/143.69 ( 142.82/143.69 setukpairinjR11 => 142.82/143.69 ( 142.82/143.69 setukpairinjR12 => 142.82/143.69 ( 142.82/143.69 setukpairinjR1 => 142.82/143.69 ( 142.82/143.69 upairequniteq => 142.82/143.69 ( 142.82/143.69 setukpairinjR2 => 142.82/143.69 ( 142.82/143.69 setukpairinjR => 142.82/143.69 ( 142.82/143.69 ksndsingleton => 142.82/143.69 ( 142.82/143.69 ksndpairEq => 142.82/143.69 ( 142.82/143.69 kpairsurjEq => 142.82/143.69 ( 142.82/143.69 cartprodsndin => 142.82/143.69 ( 142.82/143.69 cartprodpairmemEL => 142.82/143.69 ( 142.82/143.69 cartprodpairmemER => 142.82/143.69 ( 142.82/143.69 cartprodmempaircEq => 142.82/143.69 ( 142.82/143.69 cartprodfstpairEq => 142.82/143.69 ( 142.82/143.69 cartprodsndpairEq => 142.82/143.69 ( 142.82/143.69 cartprodpairsurjEq => 142.82/143.69 ( 142.82/143.69 dpsetconstrI => 142.82/143.69 ( 142.82/143.69 dpsetconstrSub => 142.82/143.69 ( 142.82/143.69 setOfPairsIsBReln => 142.82/143.69 ( 142.82/143.69 dpsetconstrERa => 142.82/143.69 ( 142.82/143.69 dpsetconstrEL1 => 142.82/143.69 ( 142.82/143.69 dpsetconstrEL2 => 142.82/143.69 ( 142.82/143.69 dpsetconstrER => 142.82/143.69 ( 142.82/143.69 funcImageSingleton => 142.82/143.69 ( 142.82/143.69 apProp => 142.82/143.69 ( 142.82/143.69 app => 142.82/143.69 ( 142.82/143.69 ![A,B,Xf]: 142.82/143.69 (in( 142.82/143.69 Xf, 142.82/143.69 funcSet( 142.82/143.69 A,B)) => 142.82/143.69 func( 142.82/143.69 A,B,Xf))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 142.82/143.69 tff(zf_stmt_0, negated_conjecture, 142.82/143.69 (~ 142.82/143.69 (setextAx => 142.82/143.69 (emptysetAx => 142.82/143.69 (setadjoinAx => 142.82/143.69 (powersetAx => 142.82/143.69 (setunionAx => 142.82/143.69 (omega0Ax => 142.82/143.69 (omegaSAx => 142.82/143.69 (omegaIndAx => 142.82/143.69 (replAx => 142.82/143.69 (foundationAx => 142.82/143.69 (wellorderingAx => 142.82/143.69 (descrp => 142.82/143.69 (dsetconstrI => 142.82/143.69 (dsetconstrEL => 142.82/143.69 (dsetconstrER => 142.82/143.69 (exuE1 => 142.82/143.69 (prop2setE => 142.82/143.69 (emptysetE => 142.82/143.69 (emptysetimpfalse => 142.82/143.69 (notinemptyset => 142.82/143.69 (exuE3e => 142.82/143.69 (setext => 142.82/143.69 (emptyI => 142.82/143.69 (noeltsimpempty => 142.82/143.69 (setbeta => 142.82/143.69 (nonemptyE1 => 142.82/143.69 (nonemptyI => 142.82/143.69 (nonemptyI1 => 142.82/143.69 (setadjoinIL => 142.82/143.69 (emptyinunitempty => 142.82/143.69 (setadjoinIR => 142.82/143.69 (setadjoinE => 142.82/143.69 (setadjoinOr => 142.82/143.69 (setoftrueEq => 142.82/143.69 (powersetI => 142.82/143.69 (emptyinPowerset => 142.82/143.69 (emptyInPowerset => 142.82/143.69 (powersetE => 142.82/143.69 (setunionI => 142.82/143.69 (setunionE => 142.82/143.69 (subPowSU => 142.82/143.69 (exuE2 => 142.82/143.69 (nonemptyImpWitness => 142.82/143.69 (uniqinunit => 142.82/143.69 (notinsingleton => 142.82/143.69 (eqinunit => 142.82/143.69 (singletonsswitch => 142.82/143.69 (upairsetE => 142.82/143.69 (upairsetIL => 142.82/143.69 (upairsetIR => 142.82/143.69 (emptyE1 => 142.82/143.69 (vacuousDall => 142.82/143.69 (quantDeMorgan1 => 142.82/143.69 (quantDeMorgan2 => 142.82/143.69 (quantDeMorgan3 => 142.82/143.69 (quantDeMorgan4 => 142.82/143.69 (prop2setI => 142.82/143.69 (prop2set2propI => 142.82/143.69 (notdexE => 142.82/143.69 (notdallE => 142.82/143.69 (exuI1 => 142.82/143.69 (exuI3 => 142.82/143.69 (exuI2 => 142.82/143.69 (inCongP => 142.82/143.69 ( 142.82/143.69 in__Cong => 142.82/143.69 ( 142.82/143.69 exuE3u => 142.82/143.69 ( 142.82/143.69 exu__Cong => 142.82/143.69 ( 142.82/143.69 emptyset__Cong => 142.82/143.69 ( 142.82/143.69 setadjoin__Cong => 142.82/143.69 ( 142.82/143.69 powerset__Cong => 142.82/143.69 ( 142.82/143.69 setunion__Cong => 142.82/143.69 ( 142.82/143.69 omega__Cong => 142.82/143.69 ( 142.82/143.69 exuEu => 142.82/143.69 ( 142.82/143.69 descr__Cong => 142.82/143.69 ( 142.82/143.69 dsetconstr__Cong => 142.82/143.69 ( 142.82/143.69 subsetI1 => 142.82/143.69 ( 142.82/143.69 eqimpsubset2 => 142.82/143.69 ( 142.82/143.69 eqimpsubset1 => 142.82/143.69 ( 142.82/143.69 subsetI2 => 142.82/143.69 ( 142.82/143.69 emptysetsubset => 142.82/143.69 ( 142.82/143.69 subsetE => 142.82/143.69 ( 142.82/143.69 subsetE2 => 142.82/143.69 ( 142.82/143.69 notsubsetI => 142.82/143.69 ( 142.82/143.69 notequalI1 => 142.82/143.69 ( 142.82/143.69 notequalI2 => 142.82/143.69 ( 142.82/143.69 subsetRefl => 142.82/143.69 ( 142.82/143.69 subsetTrans => 142.82/143.69 ( 142.82/143.69 setadjoinSub => 142.82/143.69 ( 142.82/143.69 setadjoinSub2 => 142.82/143.69 ( 142.82/143.69 subset2powerset => 142.82/143.69 ( 142.82/143.69 setextsub => 142.82/143.69 ( 142.82/143.69 subsetemptysetimpeq => 142.82/143.69 ( 142.82/143.69 powersetI1 => 142.82/143.69 ( 142.82/143.69 powersetE1 => 142.82/143.69 ( 142.82/143.69 inPowerset => 142.82/143.69 ( 142.82/143.69 powersetsubset => 142.82/143.69 ( 142.82/143.69 sepInPowerset => 142.82/143.69 ( 142.82/143.69 sepSubset => 142.82/143.69 ( 142.82/143.69 binunionIL => 142.82/143.69 ( 142.82/143.69 upairset2IR => 142.82/143.69 ( 142.82/143.69 binunionIR => 142.82/143.69 ( 142.82/143.69 binunionEcases => 142.82/143.69 ( 142.82/143.69 binunionE => 142.82/143.69 ( 142.82/143.69 binunionLsub => 142.82/143.69 ( 142.82/143.69 binunionRsub => 142.82/143.69 ( 142.82/143.69 binintersectI => 142.82/143.69 ( 142.82/143.69 binintersectSubset5 => 142.82/143.69 ( 142.82/143.69 binintersectEL => 142.82/143.69 ( 142.82/143.69 binintersectLsub => 142.82/143.69 ( 142.82/143.69 binintersectSubset2 => 142.82/143.69 ( 142.82/143.69 binintersectSubset3 => 142.82/143.69 ( 142.82/143.69 binintersectER => 142.82/143.69 ( 142.82/143.69 disjointsetsI1 => 142.82/143.69 ( 142.82/143.69 binintersectRsub => 142.82/143.69 ( 142.82/143.69 binintersectSubset4 => 142.82/143.69 ( 142.82/143.69 binintersectSubset1 => 142.82/143.69 ( 142.82/143.69 bs114d => 142.82/143.69 ( 142.82/143.69 setminusI => 142.82/143.69 ( 142.82/143.69 setminusEL => 142.82/143.69 ( 142.82/143.69 setminusER => 142.82/143.69 ( 142.82/143.69 setminusSubset2 => 142.82/143.69 ( 142.82/143.69 setminusERneg => 142.82/143.69 ( 142.82/143.69 setminusELneg => 142.82/143.69 ( 142.82/143.69 setminusILneg => 142.82/143.69 ( 142.82/143.69 setminusIRneg => 142.82/143.69 ( 142.82/143.69 setminusLsub => 142.82/143.69 ( 142.82/143.69 setminusSubset1 => 142.82/143.69 ( 142.82/143.69 symdiffE => 142.82/143.69 ( 142.82/143.69 symdiffI1 => 142.82/143.69 ( 142.82/143.69 symdiffI2 => 142.82/143.69 ( 142.82/143.69 symdiffIneg1 => 142.82/143.69 ( 142.82/143.69 symdiffIneg2 => 142.82/143.69 ( 142.82/143.69 secondinupair => 142.82/143.69 ( 142.82/143.69 setukpairIL => 142.82/143.69 ( 142.82/143.69 setukpairIR => 142.82/143.69 ( 142.82/143.69 kpairiskpair => 142.82/143.69 ( 142.82/143.69 kpairp => 142.82/143.69 ( 142.82/143.69 singletonsubset => 142.82/143.69 ( 142.82/143.69 singletoninpowerset => 142.82/143.69 ( 142.82/143.69 singletoninpowunion => 142.82/143.69 ( 142.82/143.69 upairset2E => 142.82/143.69 ( 142.82/143.69 upairsubunion => 142.82/143.69 ( 142.82/143.69 upairinpowunion => 142.82/143.69 ( 142.82/143.69 ubforcartprodlem1 => 142.82/143.69 ( 142.82/143.69 ubforcartprodlem2 => 142.82/143.69 ( 142.82/143.69 ubforcartprodlem3 => 142.82/143.69 ( 142.82/143.69 cartprodpairin => 142.82/143.69 ( 142.82/143.69 cartprodmempair1 => 142.82/143.69 ( 142.82/143.69 cartprodmempair => 142.82/143.69 ( 142.82/143.69 setunionE2 => 142.82/143.69 ( 142.82/143.69 setunionsingleton1 => 142.82/143.69 ( 142.82/143.69 setunionsingleton2 => 142.82/143.69 ( 142.82/143.69 setunionsingleton => 142.82/143.69 ( 142.82/143.69 singletonprop => 142.82/143.69 ( 142.82/143.69 ex1E1 => 142.82/143.69 ( 142.82/143.69 ex1I => 142.82/143.69 ( 142.82/143.69 ex1I2 => 142.82/143.69 ( 142.82/143.69 singletonsuniq => 142.82/143.69 ( 142.82/143.69 setukpairinjL1 => 142.82/143.69 ( 142.82/143.69 kfstsingleton => 142.82/143.69 ( 142.82/143.69 theprop => 142.82/143.69 ( 142.82/143.69 kfstpairEq => 142.82/143.69 ( 142.82/143.69 cartprodfstin => 142.82/143.69 ( 142.82/143.69 setukpairinjL2 => 142.82/143.69 ( 142.82/143.69 setukpairinjL => 142.82/143.69 ( 142.82/143.69 setukpairinjR11 => 142.82/143.69 ( 142.82/143.69 setukpairinjR12 => 142.82/143.69 ( 142.82/143.69 setukpairinjR1 => 142.82/143.69 ( 142.82/143.69 upairequniteq => 142.82/143.69 ( 142.82/143.69 setukpairinjR2 => 142.82/143.69 ( 142.82/143.69 setukpairinjR => 142.82/143.69 ( 142.82/143.69 ksndsingleton => 142.82/143.69 ( 142.82/143.69 ksndpairEq => 142.82/143.69 ( 142.82/143.69 kpairsurjEq => 142.82/143.69 ( 142.82/143.69 cartprodsndin => 142.82/143.69 ( 142.82/143.69 cartprodpairmemEL => 142.82/143.69 ( 142.82/143.69 cartprodpairmemER => 142.82/143.69 ( 142.82/143.69 cartprodmempaircEq => 142.82/143.69 ( 142.82/143.69 cartprodfstpairEq => 142.82/143.69 ( 142.82/143.69 cartprodsndpairEq => 142.82/143.69 ( 142.82/143.69 cartprodpairsurjEq => 142.82/143.69 ( 142.82/143.69 dpsetconstrI => 142.82/143.69 ( 142.82/143.69 dpsetconstrSub => 142.82/143.69 ( 142.82/143.69 setOfPairsIsBReln => 142.82/143.69 ( 142.82/143.69 dpsetconstrERa => 142.82/143.69 ( 142.82/143.69 dpsetconstrEL1 => 142.82/143.69 ( 142.82/143.69 dpsetconstrEL2 => 142.82/143.69 ( 142.82/143.69 dpsetconstrER => 142.82/143.69 ( 142.82/143.69 funcImageSingleton => 142.82/143.69 ( 142.82/143.69 apProp => 142.82/143.69 ( 142.82/143.69 app => 142.82/143.69 ( 142.82/143.69 ![A,B,Xf]: 142.82/143.69 (in( 142.82/143.69 Xf, 142.82/143.69 funcSet( 142.82/143.69 A,B)) => 142.82/143.69 func( 142.82/143.69 A,B,Xf)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 142.82/143.69 tff('0', plain, in(sk_Xf_3, funcSet(sk_A_134, sk_B_93)), 142.82/143.69 inference('cnf', [status(esa)], [zf_stmt_0])). 142.82/143.69 tff('1', plain, ~ func(sk_A_134, sk_B_93, sk_Xf_3), 142.82/143.69 inference('cnf', [status(esa)], [zf_stmt_0])). 142.82/143.69 tff(funcSet, axiom, 142.82/143.69 (![A,B]: 142.82/143.69 (funcSet(A,B) = dsetconstr(powerset(cartprod(A,B)),^[Xf]: func(A,B,Xf))))). 142.82/143.69 tff('2', plain, 142.82/143.69 ![X567, X568]: 142.82/143.69 funcSet(X567, X568) 142.82/143.69 = dsetconstr(powerset(cartprod(X567, X568)), 142.82/143.69 (^[Y0 : $i]: func(X567, X568, Y0))), 142.82/143.69 inference('cnf', [status(esa)], [funcSet])). 142.82/143.69 tff('3', plain, 142.82/143.69 ![X567, X568]: 142.82/143.69 funcSet(X567, X568) 142.82/143.69 = dsetconstr(powerset(cartprod(X567, X568)), func(X567, X568)), 142.82/143.69 inference('lambda-normalize', [status(thm)], ['2'])). 142.82/143.69 tff(dsetconstrER, axiom, 142.82/143.69 (dsetconstrER <=> 142.82/143.69 (![A,Xphi:($i > $o),Xx]: 142.82/143.69 (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx))))). 142.82/143.69 tff('4', plain, 142.82/143.69 ![X81, X82, X83 : $i > $o]: 142.82/143.69 (~ in(X81, dsetconstr(X82, (^[Y0 : $i]: X83(Y0)))) 142.82/143.69 | X83(X81) 142.82/143.69 | ~ dsetconstrER), 142.82/143.69 inference('cnf', [status(esa)], [dsetconstrER])). 142.82/143.69 tff('5', plain, 142.82/143.69 ![X81, X82, X83 : $i > $o]: 142.82/143.69 (~ in(X81, dsetconstr(X82, X83)) | X83(X81) | ~ dsetconstrER), 142.82/143.69 inference('lambda-normalize', [status(thm)], ['4'])). 142.82/143.69 tff('6', plain, dsetconstrER, inference('cnf', [status(esa)], [zf_stmt_0])). 142.82/143.69 tff('7', plain, 142.82/143.69 ![X81, X82, X83 : $i > $o]: (~ in(X81, dsetconstr(X82, X83)) | X83(X81)), 142.82/143.69 inference('demod', [status(thm)], ['5', '6'])). 142.82/143.69 tff('8', plain, $false, 142.82/143.69 inference('eprover', [status(thm)], ['0', '1', '3', '7'])). 142.82/143.69 142.82/143.69 % SZS output end Refutation 142.82/143.69 % Zipperpin 1.5 exiting 142.82/143.70 EOF