0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.YYZTtcb7Sr 0.14/0.35 % Computer : n023.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 180 0.14/0.35 % DateTime : Thu Aug 29 15:23:52 EDT 2019 0.14/0.35 % CPUTime : 141.92/142.82 % Running portfolio for 180 s 141.92/142.82 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 141.92/142.82 % TempDir : /export/starexec/sandbox/tmp/tmp.YYZTtcb7Sr 141.92/142.82 % Recognized as monomorphic HO. 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 14 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 12 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 19 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.sh for 13 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.1.sh for 10 141.92/142.82 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.e.sh for 8 141.92/142.82 % Solved by: pragmatic.rudimentary.e.sh 141.92/142.82 % Running : timeout 14 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.YYZTtcb7Sr/e_input074035 --cpu-limit=12 --auto-schedule -s -p. 141.92/142.82 % done 1153 iterations in 2.008s 141.92/142.82 % hashcons stats for terms: size 4096, num 12764, sum length 23852, buckets: small 3, median 7, big 13 141.92/142.82 % proof state stats: {active 493, passive 5954, simpl 0} 141.92/142.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 141.92/142.82 % SZS output start Refutation 141.92/142.82 tff(funcGraphProp3, conjecture, 141.92/142.82 (setextAx => 141.92/142.82 (emptysetAx => 141.92/142.82 (setadjoinAx => 141.92/142.82 (powersetAx => 141.92/142.82 (setunionAx => 141.92/142.82 (omega0Ax => 141.92/142.82 (omegaSAx => 141.92/142.82 (omegaIndAx => 141.92/142.82 (replAx => 141.92/142.82 (foundationAx => 141.92/142.82 (wellorderingAx => 141.92/142.82 (descrp => 141.92/142.82 (dsetconstrI => 141.92/142.82 (dsetconstrEL => 141.92/142.82 (dsetconstrER => 141.92/142.82 (exuE1 => 141.92/142.82 (prop2setE => 141.92/142.82 (emptysetE => 141.92/142.82 (emptysetimpfalse => 141.92/142.82 (notinemptyset => 141.92/142.82 (exuE3e => 141.92/142.82 (setext => 141.92/142.82 (emptyI => 141.92/142.82 (noeltsimpempty => 141.92/142.82 (setbeta => 141.92/142.82 (nonemptyE1 => 141.92/142.82 (nonemptyI => 141.92/142.82 (nonemptyI1 => 141.92/142.82 (setadjoinIL => 141.92/142.82 (emptyinunitempty => 141.92/142.82 (setadjoinIR => 141.92/142.82 (setadjoinE => 141.92/142.82 (setadjoinOr => 141.92/142.82 (setoftrueEq => 141.92/142.82 (powersetI => 141.92/142.82 (emptyinPowerset => 141.92/142.82 (emptyInPowerset => 141.92/142.82 (powersetE => 141.92/142.82 (setunionI => 141.92/142.82 (setunionE => 141.92/142.82 (subPowSU => 141.92/142.82 (exuE2 => 141.92/142.82 (nonemptyImpWitness => 141.92/142.82 (uniqinunit => 141.92/142.82 (notinsingleton => 141.92/142.82 (eqinunit => 141.92/142.82 (singletonsswitch => 141.92/142.82 (upairsetE => 141.92/142.82 (upairsetIL => 141.92/142.82 (upairsetIR => 141.92/142.82 (emptyE1 => 141.92/142.82 (vacuousDall => 141.92/142.82 (quantDeMorgan1 => 141.92/142.82 (quantDeMorgan2 => 141.92/142.82 (quantDeMorgan3 => 141.92/142.82 (quantDeMorgan4 => 141.92/142.82 (prop2setI => 141.92/142.82 (prop2set2propI => 141.92/142.82 (notdexE => 141.92/142.82 (notdallE => 141.92/142.82 (exuI1 => 141.92/142.82 (exuI3 => 141.92/142.82 (exuI2 => 141.92/142.82 (inCongP => 141.92/142.82 (in__Cong => 141.92/142.82 (exuE3u => 141.92/142.82 ( 141.92/142.82 exu__Cong => 141.92/142.82 ( 141.92/142.82 emptyset__Cong => 141.92/142.82 ( 141.92/142.82 setadjoin__Cong => 141.92/142.82 ( 141.92/142.82 powerset__Cong => 141.92/142.82 ( 141.92/142.82 setunion__Cong => 141.92/142.82 ( 141.92/142.82 omega__Cong => 141.92/142.82 ( 141.92/142.82 exuEu => 141.92/142.82 ( 141.92/142.82 descr__Cong => 141.92/142.82 ( 141.92/142.82 dsetconstr__Cong => 141.92/142.82 ( 141.92/142.82 subsetI1 => 141.92/142.82 ( 141.92/142.82 eqimpsubset2 => 141.92/142.82 ( 141.92/142.82 eqimpsubset1 => 141.92/142.82 ( 141.92/142.82 subsetI2 => 141.92/142.82 ( 141.92/142.82 emptysetsubset => 141.92/142.82 ( 141.92/142.82 subsetE => 141.92/142.82 ( 141.92/142.82 subsetE2 => 141.92/142.82 ( 141.92/142.82 notsubsetI => 141.92/142.82 ( 141.92/142.82 notequalI1 => 141.92/142.82 ( 141.92/142.82 notequalI2 => 141.92/142.82 ( 141.92/142.82 subsetRefl => 141.92/142.82 ( 141.92/142.82 subsetTrans => 141.92/142.82 ( 141.92/142.82 setadjoinSub => 141.92/142.82 ( 141.92/142.82 setadjoinSub2 => 141.92/142.82 ( 141.92/142.82 subset2powerset => 141.92/142.82 ( 141.92/142.82 setextsub => 141.92/142.82 ( 141.92/142.82 subsetemptysetimpeq => 141.92/142.82 ( 141.92/142.82 powersetI1 => 141.92/142.82 ( 141.92/142.82 powersetE1 => 141.92/142.82 ( 141.92/142.82 inPowerset => 141.92/142.82 ( 141.92/142.82 powersetsubset => 141.92/142.82 ( 141.92/142.82 sepInPowerset => 141.92/142.82 ( 141.92/142.82 sepSubset => 141.92/142.82 ( 141.92/142.82 binunionIL => 141.92/142.82 ( 141.92/142.82 upairset2IR => 141.92/142.82 ( 141.92/142.82 binunionIR => 141.92/142.82 ( 141.92/142.82 binunionEcases => 141.92/142.82 ( 141.92/142.82 binunionE => 141.92/142.82 ( 141.92/142.82 binunionLsub => 141.92/142.82 ( 141.92/142.82 binunionRsub => 141.92/142.82 ( 141.92/142.82 binintersectI => 141.92/142.82 ( 141.92/142.82 binintersectSubset5 => 141.92/142.82 ( 141.92/142.82 binintersectEL => 141.92/142.82 ( 141.92/142.82 binintersectLsub => 141.92/142.82 ( 141.92/142.82 binintersectSubset2 => 141.92/142.82 ( 141.92/142.82 binintersectSubset3 => 141.92/142.82 ( 141.92/142.82 binintersectER => 141.92/142.82 ( 141.92/142.82 disjointsetsI1 => 141.92/142.82 ( 141.92/142.82 binintersectRsub => 141.92/142.82 ( 141.92/142.82 binintersectSubset4 => 141.92/142.82 ( 141.92/142.82 binintersectSubset1 => 141.92/142.82 ( 141.92/142.82 bs114d => 141.92/142.82 ( 141.92/142.82 setminusI => 141.92/142.82 ( 141.92/142.82 setminusEL => 141.92/142.82 ( 141.92/142.82 setminusER => 141.92/142.82 ( 141.92/142.82 setminusSubset2 => 141.92/142.82 ( 141.92/142.82 setminusERneg => 141.92/142.82 ( 141.92/142.82 setminusELneg => 141.92/142.82 ( 141.92/142.82 setminusILneg => 141.92/142.82 ( 141.92/142.82 setminusIRneg => 141.92/142.82 ( 141.92/142.82 setminusLsub => 141.92/142.82 ( 141.92/142.82 setminusSubset1 => 141.92/142.82 ( 141.92/142.82 symdiffE => 141.92/142.82 ( 141.92/142.82 symdiffI1 => 141.92/142.82 ( 141.92/142.82 symdiffI2 => 141.92/142.82 ( 141.92/142.82 symdiffIneg1 => 141.92/142.82 ( 141.92/142.82 symdiffIneg2 => 141.92/142.82 ( 141.92/142.82 secondinupair => 141.92/142.82 ( 141.92/142.82 setukpairIL => 141.92/142.82 ( 141.92/142.82 setukpairIR => 141.92/142.82 ( 141.92/142.82 kpairiskpair => 141.92/142.82 ( 141.92/142.82 kpairp => 141.92/142.82 ( 141.92/142.82 singletonsubset => 141.92/142.82 ( 141.92/142.82 singletoninpowerset => 141.92/142.82 ( 141.92/142.82 singletoninpowunion => 141.92/142.82 ( 141.92/142.82 upairset2E => 141.92/142.82 ( 141.92/142.82 upairsubunion => 141.92/142.82 ( 141.92/142.82 upairinpowunion => 141.92/142.82 ( 141.92/142.82 ubforcartprodlem1 => 141.92/142.82 ( 141.92/142.82 ubforcartprodlem2 => 141.92/142.82 ( 141.92/142.82 ubforcartprodlem3 => 141.92/142.82 ( 141.92/142.82 cartprodpairin => 141.92/142.82 ( 141.92/142.82 cartprodmempair1 => 141.92/142.82 ( 141.92/142.82 cartprodmempair => 141.92/142.82 ( 141.92/142.82 setunionE2 => 141.92/142.82 ( 141.92/142.82 setunionsingleton1 => 141.92/142.82 ( 141.92/142.82 setunionsingleton2 => 141.92/142.82 ( 141.92/142.82 setunionsingleton => 141.92/142.82 ( 141.92/142.82 singletonprop => 141.92/142.82 ( 141.92/142.82 ex1E1 => 141.92/142.82 ( 141.92/142.82 ex1I => 141.92/142.82 ( 141.92/142.82 ex1I2 => 141.92/142.82 ( 141.92/142.82 singletonsuniq => 141.92/142.82 ( 141.92/142.82 setukpairinjL1 => 141.92/142.82 ( 141.92/142.82 kfstsingleton => 141.92/142.82 ( 141.92/142.82 theprop => 141.92/142.82 ( 141.92/142.82 kfstpairEq => 141.92/142.82 ( 141.92/142.82 cartprodfstin => 141.92/142.82 ( 141.92/142.82 setukpairinjL2 => 141.92/142.82 ( 141.92/142.82 setukpairinjL => 141.92/142.82 ( 141.92/142.82 setukpairinjR11 => 141.92/142.82 ( 141.92/142.82 setukpairinjR12 => 141.92/142.82 ( 141.92/142.82 setukpairinjR1 => 141.92/142.82 ( 141.92/142.82 upairequniteq => 141.92/142.82 ( 141.92/142.82 setukpairinjR2 => 141.92/142.82 ( 141.92/142.82 setukpairinjR => 141.92/142.82 ( 141.92/142.82 ksndsingleton => 141.92/142.82 ( 141.92/142.82 ksndpairEq => 141.92/142.82 ( 141.92/142.82 kpairsurjEq => 141.92/142.82 ( 141.92/142.82 cartprodsndin => 141.92/142.82 ( 141.92/142.82 cartprodpairmemEL => 141.92/142.82 ( 141.92/142.82 cartprodpairmemER => 141.92/142.82 ( 141.92/142.82 cartprodmempaircEq => 141.92/142.82 ( 141.92/142.82 cartprodfstpairEq => 141.92/142.82 ( 141.92/142.82 cartprodsndpairEq => 141.92/142.82 ( 141.92/142.82 cartprodpairsurjEq => 141.92/142.82 ( 141.92/142.82 dpsetconstrI => 141.92/142.82 ( 141.92/142.82 dpsetconstrSub => 141.92/142.82 ( 141.92/142.82 setOfPairsIsBReln => 141.92/142.82 ( 141.92/142.82 dpsetconstrERa => 141.92/142.82 ( 141.92/142.82 dpsetconstrEL1 => 141.92/142.82 ( 141.92/142.82 dpsetconstrEL2 => 141.92/142.82 ( 141.92/142.82 dpsetconstrER => 141.92/142.82 ( 141.92/142.82 funcImageSingleton => 141.92/142.82 ( 141.92/142.82 apProp => 141.92/142.82 ( 141.92/142.82 app => 141.92/142.82 ( 141.92/142.82 infuncsetfunc => 141.92/142.82 ( 141.92/142.82 ap2p => 141.92/142.82 ( 141.92/142.82 funcinfuncset => 141.92/142.82 ( 141.92/142.82 lamProp => 141.92/142.82 ( 141.92/142.82 lamp => 141.92/142.82 ( 141.92/142.82 lam2p => 141.92/142.82 ( 141.92/142.82 brelnall1 => 141.92/142.82 ( 141.92/142.82 brelnall2 => 141.92/142.82 ( 141.92/142.82 ex1E2 => 141.92/142.82 ( 141.92/142.82 funcGraphProp1 => 141.92/142.82 ( 141.92/142.82 ![A,B,Xf]: 141.92/142.82 (in( 141.92/142.82 Xf, 141.92/142.82 funcSet( 141.92/142.82 A,B)) => 141.92/142.82 (![Xx]: 141.92/142.82 (in(Xx,A) => 141.92/142.82 in( 141.92/142.82 kpair( 141.92/142.82 Xx, 141.92/142.82 ap( 141.92/142.82 A,B,Xf,Xx)), 141.92/142.82 Xf))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 141.92/142.82 tff(zf_stmt_0, negated_conjecture, 141.92/142.82 (~ 141.92/142.82 (setextAx => 141.92/142.82 (emptysetAx => 141.92/142.82 (setadjoinAx => 141.92/142.82 (powersetAx => 141.92/142.82 (setunionAx => 141.92/142.82 (omega0Ax => 141.92/142.82 (omegaSAx => 141.92/142.82 (omegaIndAx => 141.92/142.82 (replAx => 141.92/142.82 (foundationAx => 141.92/142.82 (wellorderingAx => 141.92/142.82 (descrp => 141.92/142.82 (dsetconstrI => 141.92/142.82 (dsetconstrEL => 141.92/142.82 (dsetconstrER => 141.92/142.82 (exuE1 => 141.92/142.82 (prop2setE => 141.92/142.82 (emptysetE => 141.92/142.82 (emptysetimpfalse => 141.92/142.82 (notinemptyset => 141.92/142.82 (exuE3e => 141.92/142.82 (setext => 141.92/142.82 (emptyI => 141.92/142.82 (noeltsimpempty => 141.92/142.82 (setbeta => 141.92/142.82 (nonemptyE1 => 141.92/142.82 (nonemptyI => 141.92/142.82 (nonemptyI1 => 141.92/142.82 (setadjoinIL => 141.92/142.82 (emptyinunitempty => 141.92/142.82 (setadjoinIR => 141.92/142.82 (setadjoinE => 141.92/142.82 (setadjoinOr => 141.92/142.82 (setoftrueEq => 141.92/142.82 (powersetI => 141.92/142.82 (emptyinPowerset => 141.92/142.82 (emptyInPowerset => 141.92/142.82 (powersetE => 141.92/142.82 (setunionI => 141.92/142.82 (setunionE => 141.92/142.82 (subPowSU => 141.92/142.82 (exuE2 => 141.92/142.82 (nonemptyImpWitness => 141.92/142.82 (uniqinunit => 141.92/142.82 (notinsingleton => 141.92/142.82 (eqinunit => 141.92/142.82 (singletonsswitch => 141.92/142.82 (upairsetE => 141.92/142.82 (upairsetIL => 141.92/142.82 (upairsetIR => 141.92/142.82 (emptyE1 => 141.92/142.82 (vacuousDall => 141.92/142.82 (quantDeMorgan1 => 141.92/142.82 (quantDeMorgan2 => 141.92/142.82 (quantDeMorgan3 => 141.92/142.82 (quantDeMorgan4 => 141.92/142.83 (prop2setI => 141.92/142.83 (prop2set2propI => 141.92/142.83 (notdexE => 141.92/142.83 (notdallE => 141.92/142.83 (exuI1 => 141.92/142.83 (exuI3 => 141.92/142.83 (exuI2 => 141.92/142.83 (inCongP => 141.92/142.83 ( 141.92/142.83 in__Cong => 141.92/142.83 ( 141.92/142.83 exuE3u => 141.92/142.83 ( 141.92/142.83 exu__Cong => 141.92/142.83 ( 141.92/142.83 emptyset__Cong => 141.92/142.83 ( 141.92/142.83 setadjoin__Cong => 141.92/142.83 ( 141.92/142.83 powerset__Cong => 141.92/142.83 ( 141.92/142.83 setunion__Cong => 141.92/142.83 ( 141.92/142.83 omega__Cong => 141.92/142.83 ( 141.92/142.83 exuEu => 141.92/142.83 ( 141.92/142.83 descr__Cong => 141.92/142.83 ( 141.92/142.83 dsetconstr__Cong => 141.92/142.83 ( 141.92/142.83 subsetI1 => 141.92/142.83 ( 141.92/142.83 eqimpsubset2 => 141.92/142.83 ( 141.92/142.83 eqimpsubset1 => 141.92/142.83 ( 141.92/142.83 subsetI2 => 141.92/142.83 ( 141.92/142.83 emptysetsubset => 141.92/142.83 ( 141.92/142.83 subsetE => 141.92/142.83 ( 141.92/142.83 subsetE2 => 141.92/142.83 ( 141.92/142.83 notsubsetI => 141.92/142.83 ( 141.92/142.83 notequalI1 => 141.92/142.83 ( 141.92/142.83 notequalI2 => 141.92/142.83 ( 141.92/142.83 subsetRefl => 141.92/142.83 ( 141.92/142.83 subsetTrans => 141.92/142.83 ( 141.92/142.83 setadjoinSub => 141.92/142.83 ( 141.92/142.83 setadjoinSub2 => 141.92/142.83 ( 141.92/142.83 subset2powerset => 141.92/142.83 ( 141.92/142.83 setextsub => 141.92/142.83 ( 141.92/142.83 subsetemptysetimpeq => 141.92/142.83 ( 141.92/142.83 powersetI1 => 141.92/142.83 ( 141.92/142.83 powersetE1 => 141.92/142.83 ( 141.92/142.83 inPowerset => 141.92/142.83 ( 141.92/142.83 powersetsubset => 141.92/142.83 ( 141.92/142.83 sepInPowerset => 141.92/142.83 ( 141.92/142.83 sepSubset => 141.92/142.83 ( 141.92/142.83 binunionIL => 141.92/142.83 ( 141.92/142.83 upairset2IR => 141.92/142.83 ( 141.92/142.83 binunionIR => 141.92/142.83 ( 141.92/142.83 binunionEcases => 141.92/142.83 ( 141.92/142.83 binunionE => 141.92/142.83 ( 141.92/142.83 binunionLsub => 141.92/142.83 ( 141.92/142.83 binunionRsub => 141.92/142.83 ( 141.92/142.83 binintersectI => 141.92/142.83 ( 141.92/142.83 binintersectSubset5 => 141.92/142.83 ( 141.92/142.83 binintersectEL => 141.92/142.83 ( 141.92/142.83 binintersectLsub => 141.92/142.83 ( 141.92/142.83 binintersectSubset2 => 141.92/142.83 ( 141.92/142.83 binintersectSubset3 => 141.92/142.83 ( 141.92/142.83 binintersectER => 141.92/142.83 ( 141.92/142.83 disjointsetsI1 => 141.92/142.83 ( 141.92/142.83 binintersectRsub => 141.92/142.83 ( 141.92/142.83 binintersectSubset4 => 141.92/142.83 ( 141.92/142.83 binintersectSubset1 => 141.92/142.83 ( 141.92/142.83 bs114d => 141.92/142.83 ( 141.92/142.83 setminusI => 141.92/142.83 ( 141.92/142.83 setminusEL => 141.92/142.83 ( 141.92/142.83 setminusER => 141.92/142.83 ( 141.92/142.83 setminusSubset2 => 141.92/142.83 ( 141.92/142.83 setminusERneg => 141.92/142.83 ( 141.92/142.83 setminusELneg => 141.92/142.83 ( 141.92/142.83 setminusILneg => 141.92/142.83 ( 141.92/142.83 setminusIRneg => 141.92/142.83 ( 141.92/142.83 setminusLsub => 141.92/142.83 ( 141.92/142.83 setminusSubset1 => 141.92/142.83 ( 141.92/142.83 symdiffE => 141.92/142.83 ( 141.92/142.83 symdiffI1 => 141.92/142.83 ( 141.92/142.83 symdiffI2 => 141.92/142.83 ( 141.92/142.83 symdiffIneg1 => 141.92/142.83 ( 141.92/142.83 symdiffIneg2 => 141.92/142.83 ( 141.92/142.83 secondinupair => 141.92/142.83 ( 141.92/142.83 setukpairIL => 141.92/142.83 ( 141.92/142.83 setukpairIR => 141.92/142.83 ( 141.92/142.83 kpairiskpair => 141.92/142.83 ( 141.92/142.83 kpairp => 141.92/142.83 ( 141.92/142.83 singletonsubset => 141.92/142.83 ( 141.92/142.83 singletoninpowerset => 141.92/142.83 ( 141.92/142.83 singletoninpowunion => 141.92/142.83 ( 141.92/142.83 upairset2E => 141.92/142.83 ( 141.92/142.83 upairsubunion => 141.92/142.83 ( 141.92/142.83 upairinpowunion => 141.92/142.83 ( 141.92/142.83 ubforcartprodlem1 => 141.92/142.83 ( 141.92/142.83 ubforcartprodlem2 => 141.92/142.83 ( 141.92/142.83 ubforcartprodlem3 => 141.92/142.83 ( 141.92/142.83 cartprodpairin => 141.92/142.83 ( 141.92/142.83 cartprodmempair1 => 141.92/142.83 ( 141.92/142.83 cartprodmempair => 141.92/142.83 ( 141.92/142.83 setunionE2 => 141.92/142.83 ( 141.92/142.83 setunionsingleton1 => 141.92/142.83 ( 141.92/142.83 setunionsingleton2 => 141.92/142.83 ( 141.92/142.83 setunionsingleton => 141.92/142.83 ( 141.92/142.83 singletonprop => 141.92/142.83 ( 141.92/142.83 ex1E1 => 141.92/142.83 ( 141.92/142.83 ex1I => 141.92/142.83 ( 141.92/142.83 ex1I2 => 141.92/142.83 ( 141.92/142.83 singletonsuniq => 141.92/142.83 ( 141.92/142.83 setukpairinjL1 => 141.92/142.83 ( 141.92/142.83 kfstsingleton => 141.92/142.83 ( 141.92/142.83 theprop => 141.92/142.83 ( 141.92/142.83 kfstpairEq => 141.92/142.83 ( 141.92/142.83 cartprodfstin => 141.92/142.83 ( 141.92/142.83 setukpairinjL2 => 141.92/142.83 ( 141.92/142.83 setukpairinjL => 141.92/142.83 ( 141.92/142.83 setukpairinjR11 => 141.92/142.83 ( 141.92/142.83 setukpairinjR12 => 141.92/142.83 ( 141.92/142.83 setukpairinjR1 => 141.92/142.83 ( 141.92/142.83 upairequniteq => 141.92/142.83 ( 141.92/142.83 setukpairinjR2 => 141.92/142.83 ( 141.92/142.83 setukpairinjR => 141.92/142.83 ( 141.92/142.83 ksndsingleton => 141.92/142.83 ( 141.92/142.83 ksndpairEq => 141.92/142.83 ( 141.92/142.83 kpairsurjEq => 141.92/142.83 ( 141.92/142.83 cartprodsndin => 141.92/142.83 ( 141.92/142.83 cartprodpairmemEL => 141.92/142.83 ( 141.92/142.83 cartprodpairmemER => 141.92/142.83 ( 141.92/142.83 cartprodmempaircEq => 141.92/142.83 ( 141.92/142.83 cartprodfstpairEq => 141.92/142.83 ( 141.92/142.83 cartprodsndpairEq => 141.92/142.83 ( 141.92/142.83 cartprodpairsurjEq => 141.92/142.83 ( 141.92/142.83 dpsetconstrI => 141.92/142.83 ( 141.92/142.83 dpsetconstrSub => 141.92/142.83 ( 141.92/142.83 setOfPairsIsBReln => 141.92/142.83 ( 141.92/142.83 dpsetconstrERa => 141.92/142.83 ( 141.92/142.83 dpsetconstrEL1 => 141.92/142.83 ( 141.92/142.83 dpsetconstrEL2 => 141.92/142.83 ( 141.92/142.83 dpsetconstrER => 141.92/142.83 ( 141.92/142.83 funcImageSingleton => 141.92/142.83 ( 141.92/142.83 apProp => 141.92/142.83 ( 141.92/142.83 app => 141.92/142.83 ( 141.92/142.83 infuncsetfunc => 141.92/142.83 ( 141.92/142.83 ap2p => 141.92/142.83 ( 141.92/142.83 funcinfuncset => 141.92/142.83 ( 141.92/142.83 lamProp => 141.92/142.83 ( 141.92/142.83 lamp => 141.92/142.83 ( 141.92/142.83 lam2p => 141.92/142.83 ( 141.92/142.83 brelnall1 => 141.92/142.83 ( 141.92/142.83 brelnall2 => 141.92/142.83 ( 141.92/142.83 ex1E2 => 141.92/142.83 ( 141.92/142.83 funcGraphProp1 => 141.92/142.83 ( 141.92/142.83 ![A,B,Xf]: 141.92/142.83 (in( 141.92/142.83 Xf, 141.92/142.83 funcSet( 141.92/142.83 A,B)) => 141.92/142.83 (![Xx]: 141.92/142.83 (in(Xx,A) => 141.92/142.83 in( 141.92/142.83 kpair( 141.92/142.83 Xx, 141.92/142.83 ap( 141.92/142.83 A,B,Xf,Xx)), 141.92/142.83 Xf)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 141.92/142.83 tff('0', plain, in(sk_Xx_169, sk_A_144), 141.92/142.83 inference('cnf', [status(esa)], [zf_stmt_0])). 141.92/142.83 tff('1', plain, in(sk_Xf_10, funcSet(sk_A_144, sk_B_102)), 141.92/142.83 inference('cnf', [status(esa)], [zf_stmt_0])). 141.92/142.83 tff('2', plain, funcGraphProp1, inference('cnf', [status(esa)], [zf_stmt_0])). 141.92/142.83 tff('3', plain, 141.92/142.83 ~ in(kpair(sk_Xx_169, ap(sk_A_144, sk_B_102, sk_Xf_10, sk_Xx_169)), 141.92/142.83 sk_Xf_10), 141.92/142.83 inference('cnf', [status(esa)], [zf_stmt_0])). 141.92/142.83 tff('4', plain, infuncsetfunc, inference('cnf', [status(esa)], [zf_stmt_0])). 141.92/142.83 tff(funcGraphProp1, axiom, 141.92/142.83 (funcGraphProp1 <=> 141.92/142.83 (![A,B,Xf]: 141.92/142.83 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf))))))). 141.92/142.83 tff('5', plain, 141.92/142.83 ![X622, X623, X624, X625]: 141.92/142.83 (~ func(X622, X623, X624) 141.92/142.83 | in(kpair(X625, ap(X622, X623, X624, X625)), X624) 141.92/142.83 | ~ in(X625, X622) 141.92/142.83 | ~ funcGraphProp1), 141.92/142.83 inference('cnf', [status(esa)], [funcGraphProp1])). 141.92/142.83 tff(infuncsetfunc, axiom, 141.92/142.83 (infuncsetfunc <=> (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf))))). 141.92/142.83 tff('6', plain, 141.92/142.83 ![X579, X580, X581]: 141.92/142.83 (~ in(X579, funcSet(X580, X581)) 141.92/142.83 | func(X580, X581, X579) 141.92/142.83 | ~ infuncsetfunc), 141.92/142.83 inference('cnf', [status(esa)], [infuncsetfunc])). 141.92/142.83 tff('7', plain, $false, 141.92/142.83 inference('eprover', [status(thm)], ['0', '1', '2', '3', '4', '5', '6'])). 141.92/142.83 141.92/142.83 % SZS output end Refutation 141.92/142.83 % Zipperpin 1.5 exiting 141.92/142.83 EOF