0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.7WEWaLHdmE 0.14/0.36 % Computer : n017.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 180 0.14/0.36 % DateTime : Thu Aug 29 15:56:49 EDT 2019 0.14/0.36 % CPUTime : 156.73/157.88 % Running portfolio for 180 s 156.73/157.88 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 156.73/157.88 % TempDir : /export/starexec/sandbox/tmp/tmp.7WEWaLHdmE 156.73/157.88 % Recognized as monomorphic HO. 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 14 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 12 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 19 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.sh for 13 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.1.sh for 10 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.e.sh for 8 156.73/157.88 % Running /export/starexec/sandbox/solver/bin/competitive.strong.sh for 19 156.73/157.88 % Solved by: competitive.strong.sh 156.73/157.88 % Running : timeout 12 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.7WEWaLHdmE/e_inputeca2c3 --cpu-limit=10 --auto-schedule -s -p. 156.73/157.88 % done 1018 iterations in 8.728s 156.73/157.88 % hashcons stats for terms: size 9223, num 36911, sum length 65816, buckets: small 0, median 7, big 22 156.73/157.88 % proof state stats: {active 454, passive 4073, simpl 0} 156.73/157.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 156.73/157.88 % SZS output start Refutation 156.73/157.88 tff(binintTransitive, conjecture, 156.73/157.88 (setextAx => 156.73/157.88 (emptysetAx => 156.73/157.88 (setadjoinAx => 156.73/157.88 (powersetAx => 156.73/157.88 (setunionAx => 156.73/157.88 (omega0Ax => 156.73/157.88 (omegaSAx => 156.73/157.88 (omegaIndAx => 156.73/157.88 (replAx => 156.73/157.88 (foundationAx => 156.73/157.88 (wellorderingAx => 156.73/157.88 (descrp => 156.73/157.88 (dsetconstrI => 156.73/157.88 (dsetconstrEL => 156.73/157.88 (dsetconstrER => 156.73/157.88 (exuE1 => 156.73/157.88 (prop2setE => 156.73/157.88 (emptysetE => 156.73/157.88 (emptysetimpfalse => 156.73/157.88 (notinemptyset => 156.73/157.88 (exuE3e => 156.73/157.88 (setext => 156.73/157.88 (emptyI => 156.73/157.88 (noeltsimpempty => 156.73/157.88 (setbeta => 156.73/157.88 (nonemptyE1 => 156.73/157.88 (nonemptyI => 156.73/157.88 (nonemptyI1 => 156.73/157.88 (setadjoinIL => 156.73/157.88 (emptyinunitempty => 156.73/157.88 (setadjoinIR => 156.73/157.88 (setadjoinE => 156.73/157.88 (setadjoinOr => 156.73/157.88 (setoftrueEq => 156.73/157.88 (powersetI => 156.73/157.88 (emptyinPowerset => 156.73/157.88 (emptyInPowerset => 156.73/157.88 (powersetE => 156.73/157.88 (setunionI => 156.73/157.88 (setunionE => 156.73/157.88 (subPowSU => 156.73/157.88 (exuE2 => 156.73/157.88 (nonemptyImpWitness => 156.73/157.88 (uniqinunit => 156.73/157.88 (notinsingleton => 156.73/157.88 (eqinunit => 156.73/157.88 (singletonsswitch => 156.73/157.88 (upairsetE => 156.73/157.88 (upairsetIL => 156.73/157.88 (upairsetIR => 156.73/157.88 (emptyE1 => 156.73/157.88 (vacuousDall => 156.73/157.88 (quantDeMorgan1 => 156.73/157.88 (quantDeMorgan2 => 156.73/157.88 (quantDeMorgan3 => 156.73/157.88 (quantDeMorgan4 => 156.73/157.88 (prop2setI => 156.73/157.88 (prop2set2propI => 156.73/157.88 (notdexE => 156.73/157.88 (notdallE => 156.73/157.88 (exuI1 => 156.73/157.88 (exuI3 => 156.73/157.88 (exuI2 => 156.73/157.88 (inCongP => 156.73/157.88 (in__Cong => 156.73/157.88 (exuE3u => 156.73/157.88 ( 156.73/157.88 exu__Cong => 156.73/157.88 ( 156.73/157.88 emptyset__Cong => 156.73/157.88 ( 156.73/157.88 setadjoin__Cong => 156.73/157.88 ( 156.73/157.88 powerset__Cong => 156.73/157.88 ( 156.73/157.88 setunion__Cong => 156.73/157.88 ( 156.73/157.88 omega__Cong => 156.73/157.88 ( 156.73/157.88 exuEu => 156.73/157.88 ( 156.73/157.88 descr__Cong => 156.73/157.88 ( 156.73/157.88 dsetconstr__Cong => 156.73/157.88 ( 156.73/157.88 subsetI1 => 156.73/157.88 ( 156.73/157.88 eqimpsubset2 => 156.73/157.88 ( 156.73/157.88 eqimpsubset1 => 156.73/157.88 ( 156.73/157.88 subsetI2 => 156.73/157.88 ( 156.73/157.88 emptysetsubset => 156.73/157.88 ( 156.73/157.88 subsetE => 156.73/157.88 ( 156.73/157.88 subsetE2 => 156.73/157.88 ( 156.73/157.88 notsubsetI => 156.73/157.88 ( 156.73/157.88 notequalI1 => 156.73/157.88 ( 156.73/157.88 notequalI2 => 156.73/157.88 ( 156.73/157.88 subsetRefl => 156.73/157.88 ( 156.73/157.88 subsetTrans => 156.73/157.88 ( 156.73/157.88 setadjoinSub => 156.73/157.88 ( 156.73/157.88 setadjoinSub2 => 156.73/157.88 ( 156.73/157.88 subset2powerset => 156.73/157.88 ( 156.73/157.88 setextsub => 156.73/157.88 ( 156.73/157.88 subsetemptysetimpeq => 156.73/157.88 ( 156.73/157.88 powersetI1 => 156.73/157.88 ( 156.73/157.88 powersetE1 => 156.73/157.88 ( 156.73/157.88 inPowerset => 156.73/157.88 ( 156.73/157.88 powersetsubset => 156.73/157.88 ( 156.73/157.88 sepInPowerset => 156.73/157.88 ( 156.73/157.88 sepSubset => 156.73/157.88 ( 156.73/157.88 binunionIL => 156.73/157.88 ( 156.73/157.88 upairset2IR => 156.73/157.88 ( 156.73/157.88 binunionIR => 156.73/157.88 ( 156.73/157.88 binunionEcases => 156.73/157.88 ( 156.73/157.88 binunionE => 156.73/157.88 ( 156.73/157.88 binunionLsub => 156.73/157.88 ( 156.73/157.88 binunionRsub => 156.73/157.88 ( 156.73/157.88 binintersectI => 156.73/157.88 ( 156.73/157.88 binintersectSubset5 => 156.73/157.88 ( 156.73/157.88 binintersectEL => 156.73/157.88 ( 156.73/157.88 binintersectLsub => 156.73/157.88 ( 156.73/157.88 binintersectSubset2 => 156.73/157.88 ( 156.73/157.88 binintersectSubset3 => 156.73/157.88 ( 156.73/157.88 binintersectER => 156.73/157.88 ( 156.73/157.88 disjointsetsI1 => 156.73/157.88 ( 156.73/157.88 binintersectRsub => 156.73/157.88 ( 156.73/157.88 binintersectSubset4 => 156.73/157.88 ( 156.73/157.88 binintersectSubset1 => 156.73/157.88 ( 156.73/157.88 bs114d => 156.73/157.88 ( 156.73/157.88 setminusI => 156.73/157.88 ( 156.73/157.88 setminusEL => 156.73/157.88 ( 156.73/157.88 setminusER => 156.73/157.88 ( 156.73/157.88 setminusSubset2 => 156.73/157.88 ( 156.73/157.88 setminusERneg => 156.73/157.88 ( 156.73/157.88 setminusELneg => 156.73/157.88 ( 156.73/157.88 setminusILneg => 156.73/157.88 ( 156.73/157.88 setminusIRneg => 156.73/157.88 ( 156.73/157.88 setminusLsub => 156.73/157.88 ( 156.73/157.88 setminusSubset1 => 156.73/157.88 ( 156.73/157.88 symdiffE => 156.73/157.88 ( 156.73/157.88 symdiffI1 => 156.73/157.88 ( 156.73/157.88 symdiffI2 => 156.73/157.88 ( 156.73/157.88 symdiffIneg1 => 156.73/157.88 ( 156.73/157.88 symdiffIneg2 => 156.73/157.88 ( 156.73/157.88 secondinupair => 156.73/157.88 ( 156.73/157.88 setukpairIL => 156.73/157.88 ( 156.73/157.88 setukpairIR => 156.73/157.88 ( 156.73/157.88 kpairiskpair => 156.73/157.88 ( 156.73/157.88 kpairp => 156.73/157.88 ( 156.73/157.88 singletonsubset => 156.73/157.88 ( 156.73/157.88 singletoninpowerset => 156.73/157.88 ( 156.73/157.88 singletoninpowunion => 156.73/157.88 ( 156.73/157.88 upairset2E => 156.73/157.88 ( 156.73/157.88 upairsubunion => 156.73/157.88 ( 156.73/157.88 upairinpowunion => 156.73/157.88 ( 156.73/157.88 ubforcartprodlem1 => 156.73/157.88 ( 156.73/157.88 ubforcartprodlem2 => 156.73/157.88 ( 156.73/157.88 ubforcartprodlem3 => 156.73/157.88 ( 156.73/157.88 cartprodpairin => 156.73/157.88 ( 156.73/157.88 cartprodmempair1 => 156.73/157.88 ( 156.73/157.88 cartprodmempair => 156.73/157.88 ( 156.73/157.88 setunionE2 => 156.73/157.88 ( 156.73/157.88 setunionsingleton1 => 156.73/157.88 ( 156.73/157.88 setunionsingleton2 => 156.73/157.88 ( 156.73/157.88 setunionsingleton => 156.73/157.88 ( 156.73/157.88 singletonprop => 156.73/157.88 ( 156.73/157.88 ex1E1 => 156.73/157.88 ( 156.73/157.88 ex1I => 156.73/157.88 ( 156.73/157.88 ex1I2 => 156.73/157.88 ( 156.73/157.88 singletonsuniq => 156.73/157.88 ( 156.73/157.88 setukpairinjL1 => 156.73/157.88 ( 156.73/157.88 kfstsingleton => 156.73/157.88 ( 156.73/157.88 theprop => 156.73/157.88 ( 156.73/157.88 kfstpairEq => 156.73/157.88 ( 156.73/157.88 cartprodfstin => 156.73/157.88 ( 156.73/157.88 setukpairinjL2 => 156.73/157.88 ( 156.73/157.88 setukpairinjL => 156.73/157.88 ( 156.73/157.88 setukpairinjR11 => 156.73/157.88 ( 156.73/157.88 setukpairinjR12 => 156.73/157.88 ( 156.73/157.88 setukpairinjR1 => 156.73/157.88 ( 156.73/157.88 upairequniteq => 156.73/157.88 ( 156.73/157.88 setukpairinjR2 => 156.73/157.88 ( 156.73/157.88 setukpairinjR => 156.73/157.88 ( 156.73/157.88 ksndsingleton => 156.73/157.88 ( 156.73/157.88 ksndpairEq => 156.73/157.88 ( 156.73/157.88 kpairsurjEq => 156.73/157.88 ( 156.73/157.88 cartprodsndin => 156.73/157.88 ( 156.73/157.88 cartprodpairmemEL => 156.73/157.88 ( 156.73/157.88 cartprodpairmemER => 156.73/157.88 ( 156.73/157.88 cartprodmempaircEq => 156.73/157.88 ( 156.73/157.88 cartprodfstpairEq => 156.73/157.88 ( 156.73/157.88 cartprodsndpairEq => 156.73/157.88 ( 156.73/157.88 cartprodpairsurjEq => 156.73/157.88 ( 156.73/157.88 dpsetconstrI => 156.73/157.88 ( 156.73/157.88 dpsetconstrSub => 156.73/157.88 ( 156.73/157.88 setOfPairsIsBReln => 156.73/157.88 ( 156.73/157.88 dpsetconstrERa => 156.73/157.88 ( 156.73/157.88 dpsetconstrEL1 => 156.73/157.88 ( 156.73/157.88 dpsetconstrEL2 => 156.73/157.88 ( 156.73/157.88 dpsetconstrER => 156.73/157.88 ( 156.73/157.88 funcImageSingleton => 156.73/157.88 ( 156.73/157.88 apProp => 156.73/157.88 ( 156.73/157.88 app => 156.73/157.88 ( 156.73/157.88 infuncsetfunc => 156.73/157.88 ( 156.73/157.88 ap2p => 156.73/157.88 ( 156.73/157.88 funcinfuncset => 156.73/157.88 ( 156.73/157.88 lamProp => 156.73/157.88 ( 156.73/157.88 lamp => 156.73/157.88 ( 156.73/157.88 lam2p => 156.73/157.88 ( 156.73/157.88 brelnall1 => 156.73/157.88 ( 156.73/157.88 brelnall2 => 156.73/157.88 ( 156.73/157.88 ex1E2 => 156.73/157.88 ( 156.73/157.88 funcGraphProp1 => 156.73/157.88 ( 156.73/157.88 funcGraphProp3 => 156.73/157.88 ( 156.73/157.88 funcGraphProp2 => 156.73/157.88 ( 156.73/157.88 funcextLem => 156.73/157.88 ( 156.73/157.88 funcGraphProp4 => 156.73/157.88 ( 156.73/157.88 subbreln => 156.73/157.88 ( 156.73/157.88 eqbreln => 156.73/157.88 ( 156.73/157.88 funcext => 156.73/157.88 ( 156.73/157.88 funcext2 => 156.73/157.88 ( 156.73/157.88 ap2apEq1 => 156.73/157.88 ( 156.73/157.88 ap2apEq2 => 156.73/157.88 ( 156.73/157.88 beta1 => 156.73/157.88 ( 156.73/157.88 eta1 => 156.73/157.88 ( 156.73/157.88 lam2lamEq => 156.73/157.88 ( 156.73/157.88 beta2 => 156.73/157.88 ( 156.73/157.88 eta2 => 156.73/157.88 ( 156.73/157.88 iffalseProp1 => 156.73/157.88 ( 156.73/157.88 iffalseProp2 => 156.73/157.88 ( 156.73/157.88 iftrueProp1 => 156.73/157.88 ( 156.73/157.88 iftrueProp2 => 156.73/157.88 ( 156.73/157.88 ifSingleton => 156.73/157.88 ( 156.73/157.88 ifp => 156.73/157.88 ( 156.73/157.88 theeq => 156.73/157.88 ( 156.73/157.88 iftrue => 156.73/157.88 ( 156.73/157.88 iffalse => 156.73/157.88 ( 156.73/157.88 iftrueorfalse => 156.73/157.88 ( 156.73/157.88 binintersectT_lem => 156.73/157.88 ( 156.73/157.88 binunionT_lem => 156.73/157.88 ( 156.73/157.88 powersetT_lem => 156.73/157.88 ( 156.73/157.88 setminusT_lem => 156.73/157.88 ( 156.73/157.88 complementT_lem => 156.73/157.88 ( 156.73/157.88 setextT => 156.73/157.88 ( 156.73/157.88 subsetTI => 156.73/157.88 ( 156.73/157.88 powersetTI1 => 156.73/157.88 ( 156.73/157.88 powersetTE1 => 156.73/157.88 ( 156.73/157.88 complementTI1 => 156.73/157.88 ( 156.73/157.88 complementTE1 => 156.73/157.88 ( 156.73/157.88 binintersectTELcontra => 156.73/157.88 ( 156.73/157.88 binintersectTERcontra => 156.73/157.88 ( 156.73/157.88 contrasubsetT => 156.73/157.88 ( 156.73/157.88 contrasubsetT1 => 156.73/157.88 ( 156.73/157.88 contrasubsetT2 => 156.73/157.88 ( 156.73/157.88 contrasubsetT3 => 156.73/157.88 ( 156.73/157.88 doubleComplementI1 => 156.73/157.88 ( 156.73/157.88 doubleComplementE1 => 156.73/157.88 ( 156.73/157.88 doubleComplementSub1 => 156.73/157.88 ( 156.73/157.88 doubleComplementSub2 => 156.73/157.88 ( 156.73/157.88 doubleComplementEq => 156.73/157.88 ( 156.73/157.88 complementTnotintersectT => 156.73/157.88 ( 156.73/157.88 complementImpComplementIntersect => 156.73/157.88 ( 156.73/157.88 complementSubsetComplementIntersect => 156.73/157.88 ( 156.73/157.88 complementInPowersetComplementIntersect => 156.73/157.88 ( 156.73/157.88 contraSubsetComplement => 156.73/157.88 ( 156.73/157.88 complementTcontraSubset => 156.73/157.88 ( 156.73/157.88 binunionTILcontra => 156.73/157.88 ( 156.73/157.88 binunionTIRcontra => 156.73/157.88 ( 156.73/157.88 inIntersectImpInUnion => 156.73/157.88 ( 156.73/157.88 inIntersectImpInUnion2 => 156.73/157.88 ( 156.73/157.88 inIntersectImpInIntersectUnions => 156.73/157.88 ( 156.73/157.88 intersectInPowersetIntersectUnions => 156.73/157.88 ( 156.73/157.88 inComplementUnionImpNotIn1 => 156.73/157.88 ( 156.73/157.88 inComplementUnionImpInComplement1 => 156.73/157.88 ( 156.73/157.88 binunionTE => 156.73/157.88 ( 156.73/157.88 binunionTEcontra => 156.73/157.88 ( 156.73/157.88 demorgan2a1 => 156.73/157.88 ( 156.73/157.88 complementUnionInPowersetComplement => 156.73/157.88 ( 156.73/157.88 demorgan2a2 => 156.73/157.88 ( 156.73/157.88 demorgan1a => 156.73/157.88 ( 156.73/157.88 demorgan1b => 156.73/157.88 ( 156.73/157.88 demorgan1 => 156.73/157.88 ( 156.73/157.88 demorgan2a => 156.73/157.88 ( 156.73/157.88 demorgan2b2 => 156.73/157.88 ( 156.73/157.88 demorgan2b => 156.73/157.88 ( 156.73/157.88 demorgan2 => 156.73/157.88 ( 156.73/157.88 woz13rule0 => 156.73/157.88 ( 156.73/157.88 woz13rule1 => 156.73/157.88 ( 156.73/157.88 woz13rule2 => 156.73/157.88 ( 156.73/157.88 woz13rule3 => 156.73/157.88 ( 156.73/157.88 woz13rule4 => 156.73/157.88 ( 156.73/157.88 woz1_1 => 156.73/157.88 ( 156.73/157.88 woz1_2 => 156.73/157.88 ( 156.73/157.88 woz1_3 => 156.73/157.88 ( 156.73/157.88 woz1_4 => 156.73/157.88 ( 156.73/157.88 woz1_5 => 156.73/157.88 ( 156.73/157.88 breln1all2 => 156.73/157.88 ( 156.73/157.88 breln1SetBreln1 => 156.73/157.88 ( 156.73/157.88 choice2fnsingleton => 156.73/157.88 ( 156.73/157.88 setOfPairsIsBReln1 => 156.73/157.88 ( 156.73/157.88 breln1all1 => 156.73/157.88 ( 156.73/157.88 subbreln1 => 156.73/157.88 ( 156.73/157.88 eqbreln1 => 156.73/157.88 ( 156.73/157.88 breln1invprop => 156.73/157.88 ( 156.73/157.88 breln1invI => 156.73/157.88 ( 156.73/157.88 breln1invE => 156.73/157.88 ( 156.73/157.88 breln1compprop => 156.73/157.88 ( 156.73/157.88 breln1compI => 156.73/157.88 ( 156.73/157.88 breln1compE => 156.73/157.88 ( 156.73/157.88 breln1compEex => 156.73/157.88 ( 156.73/157.88 breln1unionprop => 156.73/157.88 ( 156.73/157.88 breln1unionIL => 156.73/157.88 ( 156.73/157.88 breln1unionIR => 156.73/157.88 ( 156.73/157.88 breln1unionI => 156.73/157.88 ( 156.73/157.88 breln1unionE => 156.73/157.88 ( 156.73/157.88 breln1unionEcases => 156.73/157.88 ( 156.73/157.88 breln1unionCommutes => 156.73/157.88 ( 156.73/157.88 woz2Ex => 156.73/157.88 ( 156.73/157.88 woz2W => 156.73/157.88 ( 156.73/157.88 woz2A => 156.73/157.88 ( 156.73/157.88 woz2B => 156.73/157.88 ( 156.73/157.88 image1Ex => 156.73/157.88 ( 156.73/157.88 image1Ex1 => 156.73/157.88 ( 156.73/157.88 image1Equiv => 156.73/157.88 ( 156.73/157.88 image1E => 156.73/157.88 ( 156.73/157.88 image1I => 156.73/157.88 ( 156.73/157.88 injFuncInInjFuncSet => 156.73/157.88 ( 156.73/157.88 injFuncSetFuncIn => 156.73/157.88 ( 156.73/157.88 injFuncSetFuncInj => 156.73/157.88 ( 156.73/157.88 surjFuncSetFuncIn => 156.73/157.88 ( 156.73/157.88 surjFuncSetFuncSurj => 156.73/157.88 ( 156.73/157.88 leftInvIsSurj => 156.73/157.88 ( 156.73/157.88 surjCantorThm => 156.73/157.88 ( 156.73/157.88 foundation2 => 156.73/157.88 ( 156.73/157.88 notinself => 156.73/157.88 ( 156.73/157.88 notinself2 => 156.73/157.88 ( 156.73/157.88 omegaSp => 156.73/157.88 ( 156.73/157.88 omegaSclos => 156.73/157.88 ( 156.73/157.88 peano0notS => 156.73/157.88 ( 156.73/157.88 peanoSinj => 156.73/157.88 ( 156.73/157.88 transitivesetOp1 => 156.73/157.88 ( 156.73/157.88 ![X]: 156.73/157.88 (transitiveset( 156.73/157.88 X) => 156.73/157.88 (![Y]: 156.73/157.88 (transitiveset( 156.73/157.88 Y) => 156.73/157.88 transitiveset( 156.73/157.88 binintersect( 156.73/157.88 X,Y)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 156.73/157.88 tff(zf_stmt_0, negated_conjecture, 156.73/157.88 (~ 156.73/157.88 (setextAx => 156.73/157.88 (emptysetAx => 156.73/157.88 (setadjoinAx => 156.73/157.88 (powersetAx => 156.73/157.88 (setunionAx => 156.73/157.88 (omega0Ax => 156.73/157.88 (omegaSAx => 156.73/157.88 (omegaIndAx => 156.73/157.88 (replAx => 156.73/157.88 (foundationAx => 156.73/157.88 (wellorderingAx => 156.73/157.88 (descrp => 156.73/157.88 (dsetconstrI => 156.73/157.88 (dsetconstrEL => 156.73/157.88 (dsetconstrER => 156.73/157.88 (exuE1 => 156.73/157.88 (prop2setE => 156.73/157.88 (emptysetE => 156.73/157.88 (emptysetimpfalse => 156.73/157.88 (notinemptyset => 156.73/157.88 (exuE3e => 156.73/157.88 (setext => 156.73/157.88 (emptyI => 156.73/157.88 (noeltsimpempty => 156.73/157.88 (setbeta => 156.73/157.88 (nonemptyE1 => 156.73/157.88 (nonemptyI => 156.73/157.88 (nonemptyI1 => 156.73/157.88 (setadjoinIL => 156.73/157.88 (emptyinunitempty => 156.73/157.88 (setadjoinIR => 156.73/157.88 (setadjoinE => 156.73/157.88 (setadjoinOr => 156.73/157.88 (setoftrueEq => 156.73/157.88 (powersetI => 156.73/157.88 (emptyinPowerset => 156.73/157.88 (emptyInPowerset => 156.73/157.88 (powersetE => 156.73/157.88 (setunionI => 156.73/157.88 (setunionE => 156.73/157.88 (subPowSU => 156.73/157.88 (exuE2 => 156.73/157.88 (nonemptyImpWitness => 156.73/157.88 (uniqinunit => 156.73/157.88 (notinsingleton => 156.73/157.88 (eqinunit => 156.73/157.88 (singletonsswitch => 156.73/157.88 (upairsetE => 156.73/157.88 (upairsetIL => 156.73/157.88 (upairsetIR => 156.73/157.88 (emptyE1 => 156.73/157.88 (vacuousDall => 156.73/157.88 (quantDeMorgan1 => 156.73/157.88 (quantDeMorgan2 => 156.73/157.88 (quantDeMorgan3 => 156.73/157.88 (quantDeMorgan4 => 156.73/157.88 (prop2setI => 156.73/157.88 (prop2set2propI => 156.73/157.88 (notdexE => 156.73/157.88 (notdallE => 156.73/157.88 (exuI1 => 156.73/157.88 (exuI3 => 156.73/157.88 (exuI2 => 156.73/157.88 (inCongP => 156.73/157.88 ( 156.73/157.88 in__Cong => 156.73/157.88 ( 156.73/157.88 exuE3u => 156.73/157.88 ( 156.73/157.88 exu__Cong => 156.73/157.88 ( 156.73/157.88 emptyset__Cong => 156.73/157.88 ( 156.73/157.88 setadjoin__Cong => 156.73/157.88 ( 156.73/157.88 powerset__Cong => 156.73/157.88 ( 156.73/157.88 setunion__Cong => 156.73/157.88 ( 156.73/157.88 omega__Cong => 156.73/157.88 ( 156.73/157.88 exuEu => 156.73/157.88 ( 156.73/157.88 descr__Cong => 156.73/157.88 ( 156.73/157.88 dsetconstr__Cong => 156.73/157.88 ( 156.73/157.88 subsetI1 => 156.73/157.88 ( 156.73/157.88 eqimpsubset2 => 156.73/157.88 ( 156.73/157.88 eqimpsubset1 => 156.73/157.88 ( 156.73/157.88 subsetI2 => 156.73/157.88 ( 156.73/157.88 emptysetsubset => 156.73/157.88 ( 156.73/157.88 subsetE => 156.73/157.88 ( 156.73/157.88 subsetE2 => 156.73/157.88 ( 156.73/157.88 notsubsetI => 156.73/157.88 ( 156.73/157.88 notequalI1 => 156.73/157.88 ( 156.73/157.88 notequalI2 => 156.73/157.88 ( 156.73/157.88 subsetRefl => 156.73/157.88 ( 156.73/157.88 subsetTrans => 156.73/157.88 ( 156.73/157.88 setadjoinSub => 156.73/157.88 ( 156.73/157.88 setadjoinSub2 => 156.73/157.88 ( 156.73/157.88 subset2powerset => 156.73/157.88 ( 156.73/157.88 setextsub => 156.73/157.88 ( 156.73/157.88 subsetemptysetimpeq => 156.73/157.88 ( 156.73/157.88 powersetI1 => 156.73/157.88 ( 156.73/157.88 powersetE1 => 156.73/157.88 ( 156.73/157.88 inPowerset => 156.73/157.88 ( 156.73/157.88 powersetsubset => 156.73/157.88 ( 156.73/157.88 sepInPowerset => 156.73/157.88 ( 156.73/157.88 sepSubset => 156.73/157.88 ( 156.73/157.88 binunionIL => 156.73/157.88 ( 156.73/157.88 upairset2IR => 156.73/157.88 ( 156.73/157.88 binunionIR => 156.73/157.88 ( 156.73/157.88 binunionEcases => 156.73/157.88 ( 156.73/157.88 binunionE => 156.73/157.88 ( 156.73/157.88 binunionLsub => 156.73/157.88 ( 156.73/157.88 binunionRsub => 156.73/157.88 ( 156.73/157.88 binintersectI => 156.73/157.88 ( 156.73/157.88 binintersectSubset5 => 156.73/157.88 ( 156.73/157.88 binintersectEL => 156.73/157.88 ( 156.73/157.88 binintersectLsub => 156.73/157.88 ( 156.73/157.88 binintersectSubset2 => 156.73/157.88 ( 156.73/157.88 binintersectSubset3 => 156.73/157.88 ( 156.73/157.88 binintersectER => 156.73/157.88 ( 156.73/157.88 disjointsetsI1 => 156.73/157.88 ( 156.73/157.88 binintersectRsub => 156.73/157.88 ( 156.73/157.88 binintersectSubset4 => 156.73/157.88 ( 156.73/157.88 binintersectSubset1 => 156.73/157.88 ( 156.73/157.88 bs114d => 156.73/157.88 ( 156.73/157.88 setminusI => 156.73/157.88 ( 156.73/157.88 setminusEL => 156.73/157.88 ( 156.73/157.88 setminusER => 156.73/157.88 ( 156.73/157.88 setminusSubset2 => 156.73/157.88 ( 156.73/157.88 setminusERneg => 156.73/157.88 ( 156.73/157.88 setminusELneg => 156.73/157.88 ( 156.73/157.88 setminusILneg => 156.73/157.88 ( 156.73/157.88 setminusIRneg => 156.73/157.88 ( 156.73/157.88 setminusLsub => 156.73/157.88 ( 156.73/157.88 setminusSubset1 => 156.73/157.88 ( 156.73/157.88 symdiffE => 156.73/157.88 ( 156.73/157.88 symdiffI1 => 156.73/157.88 ( 156.73/157.88 symdiffI2 => 156.73/157.88 ( 156.73/157.88 symdiffIneg1 => 156.73/157.88 ( 156.73/157.88 symdiffIneg2 => 156.73/157.88 ( 156.73/157.88 secondinupair => 156.73/157.88 ( 156.73/157.88 setukpairIL => 156.73/157.88 ( 156.73/157.88 setukpairIR => 156.73/157.88 ( 156.73/157.88 kpairiskpair => 156.73/157.88 ( 156.73/157.88 kpairp => 156.73/157.88 ( 156.73/157.88 singletonsubset => 156.73/157.88 ( 156.73/157.88 singletoninpowerset => 156.73/157.88 ( 156.73/157.88 singletoninpowunion => 156.73/157.88 ( 156.73/157.88 upairset2E => 156.73/157.88 ( 156.73/157.88 upairsubunion => 156.73/157.88 ( 156.73/157.88 upairinpowunion => 156.73/157.88 ( 156.73/157.88 ubforcartprodlem1 => 156.73/157.88 ( 156.73/157.88 ubforcartprodlem2 => 156.73/157.88 ( 156.73/157.88 ubforcartprodlem3 => 156.73/157.88 ( 156.73/157.88 cartprodpairin => 156.73/157.88 ( 156.73/157.88 cartprodmempair1 => 156.73/157.88 ( 156.73/157.88 cartprodmempair => 156.73/157.88 ( 156.73/157.88 setunionE2 => 156.73/157.88 ( 156.73/157.88 setunionsingleton1 => 156.73/157.88 ( 156.73/157.88 setunionsingleton2 => 156.73/157.88 ( 156.73/157.88 setunionsingleton => 156.73/157.88 ( 156.73/157.88 singletonprop => 156.73/157.88 ( 156.73/157.88 ex1E1 => 156.73/157.88 ( 156.73/157.88 ex1I => 156.73/157.88 ( 156.73/157.88 ex1I2 => 156.73/157.88 ( 156.73/157.88 singletonsuniq => 156.73/157.88 ( 156.73/157.88 setukpairinjL1 => 156.73/157.88 ( 156.73/157.88 kfstsingleton => 156.73/157.88 ( 156.73/157.88 theprop => 156.73/157.88 ( 156.73/157.88 kfstpairEq => 156.73/157.88 ( 156.73/157.88 cartprodfstin => 156.73/157.88 ( 156.73/157.88 setukpairinjL2 => 156.73/157.88 ( 156.73/157.88 setukpairinjL => 156.73/157.88 ( 156.73/157.88 setukpairinjR11 => 156.73/157.88 ( 156.73/157.88 setukpairinjR12 => 156.73/157.88 ( 156.73/157.88 setukpairinjR1 => 156.73/157.88 ( 156.73/157.88 upairequniteq => 156.73/157.88 ( 156.73/157.88 setukpairinjR2 => 156.73/157.88 ( 156.73/157.88 setukpairinjR => 156.73/157.88 ( 156.73/157.88 ksndsingleton => 156.73/157.88 ( 156.73/157.88 ksndpairEq => 156.73/157.88 ( 156.73/157.88 kpairsurjEq => 156.73/157.88 ( 156.73/157.88 cartprodsndin => 156.73/157.88 ( 156.73/157.88 cartprodpairmemEL => 156.73/157.88 ( 156.73/157.88 cartprodpairmemER => 156.73/157.88 ( 156.73/157.88 cartprodmempaircEq => 156.73/157.88 ( 156.73/157.88 cartprodfstpairEq => 156.73/157.88 ( 156.73/157.88 cartprodsndpairEq => 156.73/157.88 ( 156.73/157.88 cartprodpairsurjEq => 156.73/157.88 ( 156.73/157.88 dpsetconstrI => 156.73/157.88 ( 156.73/157.88 dpsetconstrSub => 156.73/157.88 ( 156.73/157.88 setOfPairsIsBReln => 156.73/157.88 ( 156.73/157.88 dpsetconstrERa => 156.73/157.88 ( 156.73/157.88 dpsetconstrEL1 => 156.73/157.88 ( 156.73/157.88 dpsetconstrEL2 => 156.73/157.88 ( 156.73/157.88 dpsetconstrER => 156.73/157.88 ( 156.73/157.88 funcImageSingleton => 156.73/157.88 ( 156.73/157.88 apProp => 156.73/157.88 ( 156.73/157.88 app => 156.73/157.88 ( 156.73/157.88 infuncsetfunc => 156.73/157.88 ( 156.73/157.88 ap2p => 156.73/157.88 ( 156.73/157.88 funcinfuncset => 156.73/157.88 ( 156.73/157.88 lamProp => 156.73/157.88 ( 156.73/157.88 lamp => 156.73/157.88 ( 156.73/157.88 lam2p => 156.73/157.88 ( 156.73/157.88 brelnall1 => 156.73/157.88 ( 156.73/157.88 brelnall2 => 156.73/157.88 ( 156.73/157.88 ex1E2 => 156.73/157.88 ( 156.73/157.88 funcGraphProp1 => 156.73/157.88 ( 156.73/157.88 funcGraphProp3 => 156.73/157.88 ( 156.73/157.88 funcGraphProp2 => 156.73/157.88 ( 156.73/157.88 funcextLem => 156.73/157.88 ( 156.73/157.88 funcGraphProp4 => 156.73/157.88 ( 156.73/157.88 subbreln => 156.73/157.88 ( 156.73/157.88 eqbreln => 156.73/157.88 ( 156.73/157.88 funcext => 156.73/157.88 ( 156.73/157.88 funcext2 => 156.73/157.88 ( 156.73/157.88 ap2apEq1 => 156.73/157.88 ( 156.73/157.88 ap2apEq2 => 156.73/157.88 ( 156.73/157.88 beta1 => 156.73/157.88 ( 156.73/157.88 eta1 => 156.73/157.88 ( 156.73/157.88 lam2lamEq => 156.73/157.88 ( 156.73/157.88 beta2 => 156.73/157.88 ( 156.73/157.88 eta2 => 156.73/157.88 ( 156.73/157.88 iffalseProp1 => 156.73/157.88 ( 156.73/157.88 iffalseProp2 => 156.73/157.88 ( 156.73/157.88 iftrueProp1 => 156.73/157.88 ( 156.73/157.88 iftrueProp2 => 156.73/157.88 ( 156.73/157.88 ifSingleton => 156.73/157.88 ( 156.73/157.88 ifp => 156.73/157.88 ( 156.73/157.88 theeq => 156.73/157.88 ( 156.73/157.88 iftrue => 156.73/157.88 ( 156.73/157.88 iffalse => 156.73/157.88 ( 156.73/157.88 iftrueorfalse => 156.73/157.88 ( 156.73/157.88 binintersectT_lem => 156.73/157.88 ( 156.73/157.88 binunionT_lem => 156.73/157.88 ( 156.73/157.88 powersetT_lem => 156.73/157.88 ( 156.73/157.88 setminusT_lem => 156.73/157.88 ( 156.73/157.88 complementT_lem => 156.73/157.88 ( 156.73/157.88 setextT => 156.73/157.88 ( 156.73/157.88 subsetTI => 156.73/157.88 ( 156.73/157.88 powersetTI1 => 156.73/157.88 ( 156.73/157.88 powersetTE1 => 156.73/157.88 ( 156.73/157.88 complementTI1 => 156.73/157.88 ( 156.73/157.88 complementTE1 => 156.73/157.88 ( 156.73/157.88 binintersectTELcontra => 156.73/157.88 ( 156.73/157.88 binintersectTERcontra => 156.73/157.88 ( 156.73/157.88 contrasubsetT => 156.73/157.88 ( 156.73/157.88 contrasubsetT1 => 156.73/157.88 ( 156.73/157.88 contrasubsetT2 => 156.73/157.88 ( 156.73/157.88 contrasubsetT3 => 156.73/157.88 ( 156.73/157.88 doubleComplementI1 => 156.73/157.88 ( 156.73/157.88 doubleComplementE1 => 156.73/157.88 ( 156.73/157.88 doubleComplementSub1 => 156.73/157.88 ( 156.73/157.88 doubleComplementSub2 => 156.73/157.88 ( 156.73/157.88 doubleComplementEq => 156.73/157.88 ( 156.73/157.88 complementTnotintersectT => 156.73/157.88 ( 156.73/157.88 complementImpComplementIntersect => 156.73/157.88 ( 156.73/157.88 complementSubsetComplementIntersect => 156.73/157.88 ( 156.73/157.88 complementInPowersetComplementIntersect => 156.73/157.88 ( 156.73/157.88 contraSubsetComplement => 156.73/157.88 ( 156.73/157.88 complementTcontraSubset => 156.73/157.88 ( 156.73/157.88 binunionTILcontra => 156.73/157.88 ( 156.73/157.88 binunionTIRcontra => 156.73/157.88 ( 156.73/157.88 inIntersectImpInUnion => 156.73/157.88 ( 156.73/157.88 inIntersectImpInUnion2 => 156.73/157.88 ( 156.73/157.88 inIntersectImpInIntersectUnions => 156.73/157.88 ( 156.73/157.88 intersectInPowersetIntersectUnions => 156.73/157.88 ( 156.73/157.88 inComplementUnionImpNotIn1 => 156.73/157.88 ( 156.73/157.88 inComplementUnionImpInComplement1 => 156.73/157.88 ( 156.73/157.88 binunionTE => 156.73/157.88 ( 156.73/157.88 binunionTEcontra => 156.73/157.88 ( 156.73/157.88 demorgan2a1 => 156.73/157.88 ( 156.73/157.88 complementUnionInPowersetComplement => 156.73/157.88 ( 156.73/157.88 demorgan2a2 => 156.73/157.88 ( 156.73/157.88 demorgan1a => 156.73/157.88 ( 156.73/157.88 demorgan1b => 156.73/157.88 ( 156.73/157.88 demorgan1 => 156.73/157.88 ( 156.73/157.88 demorgan2a => 156.73/157.88 ( 156.73/157.88 demorgan2b2 => 156.73/157.88 ( 156.73/157.88 demorgan2b => 156.73/157.88 ( 156.73/157.88 demorgan2 => 156.73/157.88 ( 156.73/157.88 woz13rule0 => 156.73/157.88 ( 156.73/157.88 woz13rule1 => 156.73/157.88 ( 156.73/157.88 woz13rule2 => 156.73/157.88 ( 156.73/157.88 woz13rule3 => 156.73/157.88 ( 156.73/157.88 woz13rule4 => 156.73/157.88 ( 156.73/157.88 woz1_1 => 156.73/157.88 ( 156.73/157.88 woz1_2 => 156.73/157.88 ( 156.73/157.88 woz1_3 => 156.73/157.88 ( 156.73/157.88 woz1_4 => 156.73/157.88 ( 156.73/157.88 woz1_5 => 156.73/157.88 ( 156.73/157.88 breln1all2 => 156.73/157.88 ( 156.73/157.88 breln1SetBreln1 => 156.73/157.88 ( 156.73/157.88 choice2fnsingleton => 156.73/157.88 ( 156.73/157.88 setOfPairsIsBReln1 => 156.73/157.88 ( 156.73/157.88 breln1all1 => 156.73/157.88 ( 156.73/157.88 subbreln1 => 156.73/157.88 ( 156.73/157.88 eqbreln1 => 156.73/157.88 ( 156.73/157.88 breln1invprop => 156.73/157.88 ( 156.73/157.88 breln1invI => 156.73/157.88 ( 156.73/157.88 breln1invE => 156.73/157.88 ( 156.73/157.88 breln1compprop => 156.73/157.88 ( 156.73/157.88 breln1compI => 156.73/157.88 ( 156.73/157.88 breln1compE => 156.73/157.88 ( 156.73/157.88 breln1compEex => 156.73/157.88 ( 156.73/157.88 breln1unionprop => 156.73/157.88 ( 156.73/157.88 breln1unionIL => 156.73/157.88 ( 156.73/157.88 breln1unionIR => 156.73/157.88 ( 156.73/157.88 breln1unionI => 156.73/157.88 ( 156.73/157.88 breln1unionE => 156.73/157.88 ( 156.73/157.88 breln1unionEcases => 156.73/157.88 ( 156.73/157.88 breln1unionCommutes => 156.73/157.88 ( 156.73/157.88 woz2Ex => 156.73/157.88 ( 156.73/157.88 woz2W => 156.73/157.88 ( 156.73/157.88 woz2A => 156.73/157.88 ( 156.73/157.88 woz2B => 156.73/157.88 ( 156.73/157.88 image1Ex => 156.73/157.88 ( 156.73/157.88 image1Ex1 => 156.73/157.88 ( 156.73/157.88 image1Equiv => 156.73/157.88 ( 156.73/157.88 image1E => 156.73/157.88 ( 156.73/157.88 image1I => 156.73/157.88 ( 156.73/157.88 injFuncInInjFuncSet => 156.73/157.88 ( 156.73/157.88 injFuncSetFuncIn => 156.73/157.88 ( 156.73/157.88 injFuncSetFuncInj => 156.73/157.88 ( 156.73/157.88 surjFuncSetFuncIn => 156.73/157.88 ( 156.73/157.88 surjFuncSetFuncSurj => 156.73/157.88 ( 156.73/157.88 leftInvIsSurj => 156.73/157.88 ( 156.73/157.88 surjCantorThm => 156.73/157.88 ( 156.73/157.88 foundation2 => 156.73/157.88 ( 156.73/157.88 notinself => 156.73/157.88 ( 156.73/157.88 notinself2 => 156.73/157.88 ( 156.73/157.88 omegaSp => 156.73/157.88 ( 156.73/157.88 omegaSclos => 156.73/157.88 ( 156.73/157.88 peano0notS => 156.73/157.88 ( 156.73/157.88 peanoSinj => 156.73/157.88 ( 156.73/157.88 transitivesetOp1 => 156.73/157.88 ( 156.73/157.88 ![X]: 156.73/157.88 (transitiveset( 156.73/157.88 X) => 156.73/157.88 (![Y]: 156.73/157.88 (transitiveset( 156.73/157.88 Y) => 156.73/157.88 transitiveset( 156.73/157.88 binintersect( 156.73/157.88 X,Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 156.73/157.88 tff('0', plain, transitiveset(sk_X_63), 156.73/157.88 inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff('1', plain, transitiveset(sk_Y_49), 156.73/157.88 inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff('2', plain, binintersectEL, inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff('3', plain, ~ transitiveset(binintersect(sk_X_63, sk_Y_49)), 156.73/157.88 inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff(transitiveset, axiom, 156.73/157.88 (transitiveset = (^[A]: (![X]: (in(X,A) => subset(X,A)))))). 156.73/157.88 tff(zf_stmt_1, axiom, 156.73/157.88 (transitiveset = 156.73/157.88 (^[Y0 : $i]: (!! (^[Y1 : $i]: (in(Y1, Y0) => subset(Y1, Y0))))))). 156.73/157.88 tff('4', plain, 156.73/157.88 transitiveset = (^[V_1]: (![X2]: (in(X2,V_1) => subset(X2,V_1)))), 156.73/157.88 define([status(thm)])). 156.73/157.88 tff('5', plain, 156.73/157.88 ~ (!! 156.73/157.88 (^[Y0 : $i]: 156.73/157.88 (in(Y0, binintersect(sk_X_63, sk_Y_49)) => 156.73/157.88 subset(Y0, binintersect(sk_X_63, sk_Y_49))))), 156.73/157.88 inference('rw', [status(thm)], ['3', '4'])). 156.73/157.88 tff('6', plain, in(sk_X2_, binintersect(sk_X_63, sk_Y_49)), 156.73/157.88 inference('cnf_otf', [status(thm)], ['5'])). 156.73/157.88 tff('7', plain, transitivesetOp1, 156.73/157.88 inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff(binintersectEL, axiom, 156.73/157.88 (binintersectEL <=> (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A))))). 156.73/157.88 tff('8', plain, 156.73/157.88 ![X321, X322, X323]: 156.73/157.88 (~ in(X321, binintersect(X322, X323)) 156.73/157.88 | in(X321, X322) 156.73/157.88 | ~ binintersectEL), 156.73/157.88 inference('cnf', [status(esa)], [binintersectEL])). 156.73/157.88 tff('9', plain, binintersectER, inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff(transitivesetOp1, axiom, 156.73/157.88 (transitivesetOp1 <=> 156.73/157.88 (![X]: (transitiveset(X) => (![A]: (in(A,X) => subset(A,X))))))). 156.73/157.88 tff('10', plain, 156.73/157.88 ![X1133, X1134]: 156.73/157.88 (~ transitiveset(X1133) 156.73/157.88 | subset(X1134, X1133) 156.73/157.88 | ~ in(X1134, X1133) 156.73/157.88 | ~ transitivesetOp1), 156.73/157.88 inference('cnf', [status(esa)], [transitivesetOp1])). 156.73/157.88 tff('11', plain, binintersectSubset5, 156.73/157.88 inference('cnf', [status(esa)], [zf_stmt_0])). 156.73/157.88 tff('12', plain, ~ subset(sk_X2_, binintersect(sk_X_63, sk_Y_49)), 156.73/157.88 inference('cnf_otf', [status(thm)], ['5'])). 156.73/157.88 tff(binintersectER, axiom, 156.73/157.88 (binintersectER <=> (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B))))). 156.73/157.88 tff('13', plain, 156.73/157.88 ![X330, X331, X332]: 156.73/157.88 (~ in(X330, binintersect(X331, X332)) 156.73/157.88 | in(X330, X332) 156.73/157.88 | ~ binintersectER), 156.73/157.88 inference('cnf', [status(esa)], [binintersectER])). 156.73/157.88 tff(binintersectSubset5, axiom, 156.73/157.88 (binintersectSubset5 <=> 156.73/157.88 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B))))))). 156.73/157.88 tff('14', plain, 156.73/157.88 ![X318, X319, X320]: 156.73/157.88 (~ subset(X318, X319) 156.73/157.88 | subset(X318, binintersect(X319, X320)) 156.73/157.88 | ~ subset(X318, X320) 156.73/157.88 | ~ binintersectSubset5), 156.73/157.88 inference('cnf', [status(esa)], [binintersectSubset5])). 156.73/157.88 tff('15', plain, $false, 156.73/157.88 inference('eprover', [status(thm)], 156.73/157.88 ['0', '1', '2', '6', '7', '8', '9', '10', '11', '12', '13', 156.73/157.88 '14'])). 156.73/157.88 156.73/157.88 % SZS output end Refutation 156.73/157.88 % Zipperpin 1.5 exiting 156.82/157.89 EOF