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.hefmdAvCcl 0.13/0.33 % Computer : n018.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 180 0.13/0.33 % DateTime : Thu Aug 29 14:46:06 EDT 2019 0.13/0.33 % CPUTime : 146.23/147.14 % Running portfolio for 180 s 146.23/147.14 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 146.23/147.14 % TempDir : /export/starexec/sandbox2/tmp/tmp.hefmdAvCcl 146.23/147.14 % Recognized as monomorphic HO. 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.1.sh for 12 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.2.sh for 7 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.sh for 3 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.1.sh for 14 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.2.sh for 12 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.ll.e.sh for 16 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.sh for 11 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.1.sh for 8 146.23/147.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.e.sh for 6 146.23/147.14 % Solved by: pragmatic.rudimentary.e.sh 146.23/147.14 % Running : timeout 14 /export/starexec/sandbox2/solver/bin/eprover-ho /export/starexec/sandbox2/tmp/tmp.hefmdAvCcl/e_inputc5895d --cpu-limit=12 --auto-schedule -s -p. 146.23/147.14 % done 1070 iterations in 1.549s 146.23/147.14 % hashcons stats for terms: size 4096, num 10981, sum length 21282, buckets: small 0, median 7, big 13 146.23/147.14 % proof state stats: {active 538, passive 4354, simpl 0} 146.23/147.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 146.23/147.14 % SZS output start Refutation 146.23/147.14 tff(ordinal, axiom, 146.23/147.14 (ordinal = (^[Xx]: (transitiveset(Xx) & wellorderedByIn(Xx))))). 146.23/147.14 tff('0', plain, 146.23/147.14 ordinal = (^[Y0 : $i]: (transitiveset(Y0) & wellorderedByIn(Y0))), 146.23/147.14 inference('cnf', [status(esa)], [ordinal])). 146.23/147.14 tff('1', plain, 146.23/147.14 ![X1]: 146.23/147.14 ordinal(X1) 146.23/147.14 = (^[Y0 : $i]: (transitiveset(Y0) & wellorderedByIn(Y0)))(X1), 146.23/147.14 inference('ho_complete_eq', [status(thm)], ['0'])). 146.23/147.14 tff('2', plain, 146.23/147.14 ![X1]: ordinal(X1) = (transitiveset(X1) & wellorderedByIn(X1)), 146.23/147.14 inference('lambda-normalize', [status(thm)], ['1'])). 146.23/147.14 tff('3', plain, 146.23/147.14 ![X1]: (~ ordinal(X1) | (transitiveset(X1) & wellorderedByIn(X1))), 146.23/147.14 inference('cnf_fool', [status(thm)], ['2'])). 146.23/147.14 tff('4', plain, ![X1]: (transitiveset(X1) | ~ ordinal(X1)), 146.23/147.14 inference('cnf_fool', [status(thm)], ['3'])). 146.23/147.14 tff(setunionTransitive, axiom, 146.23/147.14 (setunionTransitive <=> 146.23/147.14 (![X]: 146.23/147.14 ((![Xx]: (in(Xx,X) => transitiveset(Xx))) => transitiveset(setunion(X)))))). 146.23/147.14 tff('5', plain, 146.23/147.14 ![X1140]: 146.23/147.14 (~ transitiveset(sk_Xx_261(X1140)) 146.23/147.14 | transitiveset(setunion(X1140)) 146.23/147.14 | ~ setunionTransitive), 146.23/147.14 inference('cnf', [status(esa)], [setunionTransitive])). 146.23/147.14 tff(setunionOrdinalLem1, conjecture, 146.23/147.14 (setextAx => 146.23/147.14 (emptysetAx => 146.23/147.14 (setadjoinAx => 146.23/147.14 (powersetAx => 146.23/147.14 (setunionAx => 146.23/147.14 (omega0Ax => 146.23/147.14 (omegaSAx => 146.23/147.14 (omegaIndAx => 146.23/147.14 (replAx => 146.23/147.14 (foundationAx => 146.23/147.14 (wellorderingAx => 146.23/147.14 (descrp => 146.23/147.14 (dsetconstrI => 146.23/147.14 (dsetconstrEL => 146.23/147.14 (dsetconstrER => 146.23/147.14 (exuE1 => 146.23/147.14 (prop2setE => 146.23/147.14 (emptysetE => 146.23/147.14 (emptysetimpfalse => 146.23/147.14 (notinemptyset => 146.23/147.14 (exuE3e => 146.23/147.14 (setext => 146.23/147.14 (emptyI => 146.23/147.14 (noeltsimpempty => 146.23/147.14 (setbeta => 146.23/147.14 (nonemptyE1 => 146.23/147.14 (nonemptyI => 146.23/147.14 (nonemptyI1 => 146.23/147.14 (setadjoinIL => 146.23/147.14 (emptyinunitempty => 146.23/147.14 (setadjoinIR => 146.23/147.14 (setadjoinE => 146.23/147.14 (setadjoinOr => 146.23/147.14 (setoftrueEq => 146.23/147.14 (powersetI => 146.23/147.14 (emptyinPowerset => 146.23/147.14 (emptyInPowerset => 146.23/147.14 (powersetE => 146.23/147.14 (setunionI => 146.23/147.14 (setunionE => 146.23/147.14 (subPowSU => 146.23/147.14 (exuE2 => 146.23/147.14 (nonemptyImpWitness => 146.23/147.14 (uniqinunit => 146.23/147.14 (notinsingleton => 146.23/147.14 (eqinunit => 146.23/147.14 (singletonsswitch => 146.23/147.14 (upairsetE => 146.23/147.14 (upairsetIL => 146.23/147.14 (upairsetIR => 146.23/147.14 (emptyE1 => 146.23/147.14 (vacuousDall => 146.23/147.14 (quantDeMorgan1 => 146.23/147.14 (quantDeMorgan2 => 146.23/147.14 (quantDeMorgan3 => 146.23/147.14 (quantDeMorgan4 => 146.23/147.14 (prop2setI => 146.23/147.14 (prop2set2propI => 146.23/147.14 (notdexE => 146.23/147.14 (notdallE => 146.23/147.14 (exuI1 => 146.23/147.14 (exuI3 => 146.23/147.14 (exuI2 => 146.23/147.14 (inCongP => 146.23/147.14 (in__Cong => 146.23/147.14 (exuE3u => 146.23/147.14 ( 146.23/147.14 exu__Cong => 146.23/147.14 ( 146.23/147.14 emptyset__Cong => 146.23/147.14 ( 146.23/147.14 setadjoin__Cong => 146.23/147.14 ( 146.23/147.14 powerset__Cong => 146.23/147.14 ( 146.23/147.14 setunion__Cong => 146.23/147.14 ( 146.23/147.14 omega__Cong => 146.23/147.14 ( 146.23/147.14 exuEu => 146.23/147.14 ( 146.23/147.14 descr__Cong => 146.23/147.14 ( 146.23/147.14 dsetconstr__Cong => 146.23/147.14 ( 146.23/147.14 subsetI1 => 146.23/147.14 ( 146.23/147.14 eqimpsubset2 => 146.23/147.14 ( 146.23/147.14 eqimpsubset1 => 146.23/147.14 ( 146.23/147.14 subsetI2 => 146.23/147.14 ( 146.23/147.14 emptysetsubset => 146.23/147.14 ( 146.23/147.14 subsetE => 146.23/147.14 ( 146.23/147.14 subsetE2 => 146.23/147.14 ( 146.23/147.14 notsubsetI => 146.23/147.14 ( 146.23/147.14 notequalI1 => 146.23/147.14 ( 146.23/147.14 notequalI2 => 146.23/147.14 ( 146.23/147.14 subsetRefl => 146.23/147.14 ( 146.23/147.14 subsetTrans => 146.23/147.14 ( 146.23/147.14 setadjoinSub => 146.23/147.14 ( 146.23/147.14 setadjoinSub2 => 146.23/147.14 ( 146.23/147.14 subset2powerset => 146.23/147.14 ( 146.23/147.14 setextsub => 146.23/147.14 ( 146.23/147.14 subsetemptysetimpeq => 146.23/147.14 ( 146.23/147.14 powersetI1 => 146.23/147.14 ( 146.23/147.14 powersetE1 => 146.23/147.14 ( 146.23/147.14 inPowerset => 146.23/147.14 ( 146.23/147.14 powersetsubset => 146.23/147.14 ( 146.23/147.14 sepInPowerset => 146.23/147.14 ( 146.23/147.14 sepSubset => 146.23/147.14 ( 146.23/147.14 binunionIL => 146.23/147.14 ( 146.23/147.14 upairset2IR => 146.23/147.14 ( 146.23/147.14 binunionIR => 146.23/147.14 ( 146.23/147.14 binunionEcases => 146.23/147.14 ( 146.23/147.14 binunionE => 146.23/147.14 ( 146.23/147.14 binunionLsub => 146.23/147.14 ( 146.23/147.14 binunionRsub => 146.23/147.14 ( 146.23/147.14 binintersectI => 146.23/147.14 ( 146.23/147.14 binintersectSubset5 => 146.23/147.14 ( 146.23/147.14 binintersectEL => 146.23/147.14 ( 146.23/147.14 binintersectLsub => 146.23/147.14 ( 146.23/147.14 binintersectSubset2 => 146.23/147.14 ( 146.23/147.14 binintersectSubset3 => 146.23/147.14 ( 146.23/147.14 binintersectER => 146.23/147.14 ( 146.23/147.14 disjointsetsI1 => 146.23/147.14 ( 146.23/147.14 binintersectRsub => 146.23/147.14 ( 146.23/147.14 binintersectSubset4 => 146.23/147.14 ( 146.23/147.14 binintersectSubset1 => 146.23/147.14 ( 146.23/147.14 bs114d => 146.23/147.14 ( 146.23/147.14 setminusI => 146.23/147.14 ( 146.23/147.14 setminusEL => 146.23/147.14 ( 146.23/147.14 setminusER => 146.23/147.14 ( 146.23/147.14 setminusSubset2 => 146.23/147.14 ( 146.23/147.14 setminusERneg => 146.23/147.14 ( 146.23/147.14 setminusELneg => 146.23/147.14 ( 146.23/147.14 setminusILneg => 146.23/147.14 ( 146.23/147.14 setminusIRneg => 146.23/147.14 ( 146.23/147.14 setminusLsub => 146.23/147.14 ( 146.23/147.14 setminusSubset1 => 146.23/147.14 ( 146.23/147.14 symdiffE => 146.23/147.14 ( 146.23/147.14 symdiffI1 => 146.23/147.14 ( 146.23/147.14 symdiffI2 => 146.23/147.14 ( 146.23/147.14 symdiffIneg1 => 146.23/147.14 ( 146.23/147.14 symdiffIneg2 => 146.23/147.14 ( 146.23/147.14 secondinupair => 146.23/147.14 ( 146.23/147.14 setukpairIL => 146.23/147.14 ( 146.23/147.14 setukpairIR => 146.23/147.14 ( 146.23/147.14 kpairiskpair => 146.23/147.14 ( 146.23/147.14 kpairp => 146.23/147.14 ( 146.23/147.14 singletonsubset => 146.23/147.14 ( 146.23/147.14 singletoninpowerset => 146.23/147.14 ( 146.23/147.14 singletoninpowunion => 146.23/147.14 ( 146.23/147.14 upairset2E => 146.23/147.14 ( 146.23/147.14 upairsubunion => 146.23/147.14 ( 146.23/147.14 upairinpowunion => 146.23/147.14 ( 146.23/147.14 ubforcartprodlem1 => 146.23/147.14 ( 146.23/147.14 ubforcartprodlem2 => 146.23/147.14 ( 146.23/147.14 ubforcartprodlem3 => 146.23/147.14 ( 146.23/147.14 cartprodpairin => 146.23/147.14 ( 146.23/147.14 cartprodmempair1 => 146.23/147.14 ( 146.23/147.14 cartprodmempair => 146.23/147.14 ( 146.23/147.14 setunionE2 => 146.23/147.14 ( 146.23/147.14 setunionsingleton1 => 146.23/147.14 ( 146.23/147.14 setunionsingleton2 => 146.23/147.14 ( 146.23/147.14 setunionsingleton => 146.23/147.14 ( 146.23/147.14 singletonprop => 146.23/147.14 ( 146.23/147.14 ex1E1 => 146.23/147.14 ( 146.23/147.14 ex1I => 146.23/147.14 ( 146.23/147.14 ex1I2 => 146.23/147.14 ( 146.23/147.14 singletonsuniq => 146.23/147.14 ( 146.23/147.14 setukpairinjL1 => 146.23/147.14 ( 146.23/147.14 kfstsingleton => 146.23/147.14 ( 146.23/147.14 theprop => 146.23/147.14 ( 146.23/147.14 kfstpairEq => 146.23/147.14 ( 146.23/147.14 cartprodfstin => 146.23/147.14 ( 146.23/147.14 setukpairinjL2 => 146.23/147.14 ( 146.23/147.14 setukpairinjL => 146.23/147.14 ( 146.23/147.14 setukpairinjR11 => 146.23/147.14 ( 146.23/147.14 setukpairinjR12 => 146.23/147.14 ( 146.23/147.14 setukpairinjR1 => 146.23/147.14 ( 146.23/147.14 upairequniteq => 146.23/147.14 ( 146.23/147.14 setukpairinjR2 => 146.23/147.14 ( 146.23/147.14 setukpairinjR => 146.23/147.14 ( 146.23/147.14 ksndsingleton => 146.23/147.14 ( 146.23/147.14 ksndpairEq => 146.23/147.14 ( 146.23/147.14 kpairsurjEq => 146.23/147.14 ( 146.23/147.14 cartprodsndin => 146.23/147.14 ( 146.23/147.14 cartprodpairmemEL => 146.23/147.14 ( 146.23/147.14 cartprodpairmemER => 146.23/147.14 ( 146.23/147.14 cartprodmempaircEq => 146.23/147.14 ( 146.23/147.14 cartprodfstpairEq => 146.23/147.14 ( 146.23/147.14 cartprodsndpairEq => 146.23/147.14 ( 146.23/147.14 cartprodpairsurjEq => 146.23/147.14 ( 146.23/147.14 dpsetconstrI => 146.23/147.14 ( 146.23/147.14 dpsetconstrSub => 146.23/147.14 ( 146.23/147.14 setOfPairsIsBReln => 146.23/147.14 ( 146.23/147.14 dpsetconstrERa => 146.23/147.14 ( 146.23/147.14 dpsetconstrEL1 => 146.23/147.14 ( 146.23/147.14 dpsetconstrEL2 => 146.23/147.14 ( 146.23/147.14 dpsetconstrER => 146.23/147.14 ( 146.23/147.14 funcImageSingleton => 146.23/147.14 ( 146.23/147.14 apProp => 146.23/147.14 ( 146.23/147.14 app => 146.23/147.14 ( 146.23/147.14 infuncsetfunc => 146.23/147.14 ( 146.23/147.14 ap2p => 146.23/147.14 ( 146.23/147.14 funcinfuncset => 146.23/147.14 ( 146.23/147.14 lamProp => 146.23/147.14 ( 146.23/147.14 lamp => 146.23/147.14 ( 146.23/147.14 lam2p => 146.23/147.14 ( 146.23/147.14 brelnall1 => 146.23/147.14 ( 146.23/147.14 brelnall2 => 146.23/147.14 ( 146.23/147.14 ex1E2 => 146.23/147.14 ( 146.23/147.14 funcGraphProp1 => 146.23/147.14 ( 146.23/147.14 funcGraphProp3 => 146.23/147.14 ( 146.23/147.14 funcGraphProp2 => 146.23/147.14 ( 146.23/147.14 funcextLem => 146.23/147.14 ( 146.23/147.14 funcGraphProp4 => 146.23/147.14 ( 146.23/147.14 subbreln => 146.23/147.14 ( 146.23/147.14 eqbreln => 146.23/147.14 ( 146.23/147.14 funcext => 146.23/147.14 ( 146.23/147.14 funcext2 => 146.23/147.14 ( 146.23/147.14 ap2apEq1 => 146.23/147.14 ( 146.23/147.14 ap2apEq2 => 146.23/147.14 ( 146.23/147.14 beta1 => 146.23/147.14 ( 146.23/147.14 eta1 => 146.23/147.14 ( 146.23/147.14 lam2lamEq => 146.23/147.14 ( 146.23/147.14 beta2 => 146.23/147.14 ( 146.23/147.14 eta2 => 146.23/147.14 ( 146.23/147.14 iffalseProp1 => 146.23/147.14 ( 146.23/147.14 iffalseProp2 => 146.23/147.14 ( 146.23/147.14 iftrueProp1 => 146.23/147.14 ( 146.23/147.14 iftrueProp2 => 146.23/147.14 ( 146.23/147.14 ifSingleton => 146.23/147.14 ( 146.23/147.14 ifp => 146.23/147.14 ( 146.23/147.14 theeq => 146.23/147.14 ( 146.23/147.14 iftrue => 146.23/147.14 ( 146.23/147.14 iffalse => 146.23/147.14 ( 146.23/147.14 iftrueorfalse => 146.23/147.14 ( 146.23/147.14 binintersectT_lem => 146.23/147.14 ( 146.23/147.14 binunionT_lem => 146.23/147.14 ( 146.23/147.14 powersetT_lem => 146.23/147.14 ( 146.23/147.14 setminusT_lem => 146.23/147.14 ( 146.23/147.14 complementT_lem => 146.23/147.14 ( 146.23/147.14 setextT => 146.23/147.14 ( 146.23/147.14 subsetTI => 146.23/147.14 ( 146.23/147.14 powersetTI1 => 146.23/147.14 ( 146.23/147.14 powersetTE1 => 146.23/147.14 ( 146.23/147.14 complementTI1 => 146.23/147.14 ( 146.23/147.14 complementTE1 => 146.23/147.14 ( 146.23/147.14 binintersectTELcontra => 146.23/147.14 ( 146.23/147.14 binintersectTERcontra => 146.23/147.14 ( 146.23/147.14 contrasubsetT => 146.23/147.14 ( 146.23/147.14 contrasubsetT1 => 146.23/147.14 ( 146.23/147.14 contrasubsetT2 => 146.23/147.14 ( 146.23/147.14 contrasubsetT3 => 146.23/147.14 ( 146.23/147.14 doubleComplementI1 => 146.23/147.14 ( 146.23/147.14 doubleComplementE1 => 146.23/147.14 ( 146.23/147.14 doubleComplementSub1 => 146.23/147.14 ( 146.23/147.14 doubleComplementSub2 => 146.23/147.14 ( 146.23/147.14 doubleComplementEq => 146.23/147.14 ( 146.23/147.14 complementTnotintersectT => 146.23/147.14 ( 146.23/147.14 complementImpComplementIntersect => 146.23/147.14 ( 146.23/147.14 complementSubsetComplementIntersect => 146.23/147.14 ( 146.23/147.14 complementInPowersetComplementIntersect => 146.23/147.14 ( 146.23/147.14 contraSubsetComplement => 146.23/147.14 ( 146.23/147.14 complementTcontraSubset => 146.23/147.14 ( 146.23/147.14 binunionTILcontra => 146.23/147.14 ( 146.23/147.14 binunionTIRcontra => 146.23/147.14 ( 146.23/147.14 inIntersectImpInUnion => 146.23/147.14 ( 146.23/147.14 inIntersectImpInUnion2 => 146.23/147.14 ( 146.23/147.14 inIntersectImpInIntersectUnions => 146.23/147.14 ( 146.23/147.14 intersectInPowersetIntersectUnions => 146.23/147.14 ( 146.23/147.14 inComplementUnionImpNotIn1 => 146.23/147.14 ( 146.23/147.14 inComplementUnionImpInComplement1 => 146.23/147.14 ( 146.23/147.14 binunionTE => 146.23/147.14 ( 146.23/147.14 binunionTEcontra => 146.23/147.14 ( 146.23/147.14 demorgan2a1 => 146.23/147.14 ( 146.23/147.14 complementUnionInPowersetComplement => 146.23/147.14 ( 146.23/147.14 demorgan2a2 => 146.23/147.14 ( 146.23/147.14 demorgan1a => 146.23/147.14 ( 146.23/147.14 demorgan1b => 146.23/147.14 ( 146.23/147.14 demorgan1 => 146.23/147.14 ( 146.23/147.14 demorgan2a => 146.23/147.14 ( 146.23/147.14 demorgan2b2 => 146.23/147.14 ( 146.23/147.14 demorgan2b => 146.23/147.14 ( 146.23/147.14 demorgan2 => 146.23/147.14 ( 146.23/147.14 woz13rule0 => 146.23/147.14 ( 146.23/147.14 woz13rule1 => 146.23/147.14 ( 146.23/147.14 woz13rule2 => 146.23/147.14 ( 146.23/147.14 woz13rule3 => 146.23/147.14 ( 146.23/147.14 woz13rule4 => 146.23/147.14 ( 146.23/147.14 woz1_1 => 146.23/147.14 ( 146.23/147.14 woz1_2 => 146.23/147.14 ( 146.23/147.14 woz1_3 => 146.23/147.14 ( 146.23/147.14 woz1_4 => 146.23/147.14 ( 146.23/147.14 woz1_5 => 146.23/147.14 ( 146.23/147.14 breln1all2 => 146.23/147.14 ( 146.23/147.14 breln1SetBreln1 => 146.23/147.14 ( 146.23/147.14 choice2fnsingleton => 146.23/147.14 ( 146.23/147.14 setOfPairsIsBReln1 => 146.23/147.14 ( 146.23/147.14 breln1all1 => 146.23/147.14 ( 146.23/147.14 subbreln1 => 146.23/147.14 ( 146.23/147.14 eqbreln1 => 146.23/147.14 ( 146.23/147.14 breln1invprop => 146.23/147.14 ( 146.23/147.14 breln1invI => 146.23/147.14 ( 146.23/147.14 breln1invE => 146.23/147.14 ( 146.23/147.14 breln1compprop => 146.23/147.14 ( 146.23/147.14 breln1compI => 146.23/147.14 ( 146.23/147.14 breln1compE => 146.23/147.14 ( 146.23/147.14 breln1compEex => 146.23/147.14 ( 146.23/147.14 breln1unionprop => 146.23/147.14 ( 146.23/147.14 breln1unionIL => 146.23/147.14 ( 146.23/147.14 breln1unionIR => 146.23/147.14 ( 146.23/147.14 breln1unionI => 146.23/147.14 ( 146.23/147.14 breln1unionE => 146.23/147.14 ( 146.23/147.14 breln1unionEcases => 146.23/147.14 ( 146.23/147.14 breln1unionCommutes => 146.23/147.14 ( 146.23/147.14 woz2Ex => 146.23/147.14 ( 146.23/147.14 woz2W => 146.23/147.14 ( 146.23/147.14 woz2A => 146.23/147.14 ( 146.23/147.14 woz2B => 146.23/147.14 ( 146.23/147.14 image1Ex => 146.23/147.14 ( 146.23/147.14 image1Ex1 => 146.23/147.14 ( 146.23/147.14 image1Equiv => 146.23/147.14 ( 146.23/147.14 image1E => 146.23/147.14 ( 146.23/147.14 image1I => 146.23/147.14 ( 146.23/147.14 injFuncInInjFuncSet => 146.23/147.14 ( 146.23/147.14 injFuncSetFuncIn => 146.23/147.14 ( 146.23/147.14 injFuncSetFuncInj => 146.23/147.14 ( 146.23/147.14 surjFuncSetFuncIn => 146.23/147.14 ( 146.23/147.14 surjFuncSetFuncSurj => 146.23/147.14 ( 146.23/147.14 leftInvIsSurj => 146.23/147.14 ( 146.23/147.14 surjCantorThm => 146.23/147.14 ( 146.23/147.14 foundation2 => 146.23/147.14 ( 146.23/147.14 notinself => 146.23/147.14 ( 146.23/147.14 notinself2 => 146.23/147.14 ( 146.23/147.14 omegaSp => 146.23/147.14 ( 146.23/147.14 omegaSclos => 146.23/147.14 ( 146.23/147.14 peano0notS => 146.23/147.14 ( 146.23/147.14 peanoSinj => 146.23/147.14 ( 146.23/147.14 transitivesetOp1 => 146.23/147.14 ( 146.23/147.14 binintTransitive => 146.23/147.14 ( 146.23/147.14 transitivesetOp2 => 146.23/147.14 ( 146.23/147.14 setunionTransitive => 146.23/147.14 ( 146.23/147.14 ordinalMinLem1 => 146.23/147.14 ( 146.23/147.14 ordinalTransSet => 146.23/147.14 ( 146.23/147.14 ordinalTransSet1 => 146.23/147.14 ( 146.23/147.14 ![X]: 146.23/147.14 (( 146.23/147.14 ![Xx]: 146.23/147.14 (in(Xx,X) => 146.23/147.14 ordinal( 146.23/147.14 Xx))) => 146.23/147.14 transitiveset( 146.23/147.14 setunion( 146.23/147.14 X)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 146.23/147.14 tff(zf_stmt_0, negated_conjecture, 146.23/147.14 (~ 146.23/147.14 (setextAx => 146.23/147.14 (emptysetAx => 146.23/147.14 (setadjoinAx => 146.23/147.14 (powersetAx => 146.23/147.14 (setunionAx => 146.23/147.14 (omega0Ax => 146.23/147.14 (omegaSAx => 146.23/147.14 (omegaIndAx => 146.23/147.14 (replAx => 146.23/147.14 (foundationAx => 146.23/147.14 (wellorderingAx => 146.23/147.14 (descrp => 146.23/147.14 (dsetconstrI => 146.23/147.14 (dsetconstrEL => 146.23/147.14 (dsetconstrER => 146.23/147.14 (exuE1 => 146.23/147.14 (prop2setE => 146.23/147.14 (emptysetE => 146.23/147.14 (emptysetimpfalse => 146.23/147.14 (notinemptyset => 146.23/147.14 (exuE3e => 146.23/147.14 (setext => 146.23/147.14 (emptyI => 146.23/147.14 (noeltsimpempty => 146.23/147.14 (setbeta => 146.23/147.14 (nonemptyE1 => 146.23/147.14 (nonemptyI => 146.23/147.14 (nonemptyI1 => 146.23/147.14 (setadjoinIL => 146.23/147.14 (emptyinunitempty => 146.23/147.14 (setadjoinIR => 146.23/147.14 (setadjoinE => 146.23/147.14 (setadjoinOr => 146.23/147.14 (setoftrueEq => 146.23/147.14 (powersetI => 146.23/147.14 (emptyinPowerset => 146.23/147.14 (emptyInPowerset => 146.23/147.14 (powersetE => 146.23/147.14 (setunionI => 146.23/147.14 (setunionE => 146.23/147.14 (subPowSU => 146.23/147.14 (exuE2 => 146.23/147.14 (nonemptyImpWitness => 146.23/147.14 (uniqinunit => 146.23/147.14 (notinsingleton => 146.23/147.14 (eqinunit => 146.23/147.14 (singletonsswitch => 146.23/147.14 (upairsetE => 146.23/147.14 (upairsetIL => 146.23/147.14 (upairsetIR => 146.23/147.14 (emptyE1 => 146.23/147.14 (vacuousDall => 146.23/147.14 (quantDeMorgan1 => 146.23/147.14 (quantDeMorgan2 => 146.23/147.14 (quantDeMorgan3 => 146.23/147.14 (quantDeMorgan4 => 146.23/147.14 (prop2setI => 146.23/147.14 (prop2set2propI => 146.23/147.14 (notdexE => 146.23/147.14 (notdallE => 146.23/147.14 (exuI1 => 146.23/147.14 (exuI3 => 146.23/147.14 (exuI2 => 146.23/147.14 (inCongP => 146.23/147.14 ( 146.23/147.14 in__Cong => 146.23/147.14 ( 146.23/147.14 exuE3u => 146.23/147.14 ( 146.23/147.14 exu__Cong => 146.23/147.14 ( 146.23/147.14 emptyset__Cong => 146.23/147.14 ( 146.23/147.14 setadjoin__Cong => 146.23/147.14 ( 146.23/147.14 powerset__Cong => 146.23/147.14 ( 146.23/147.14 setunion__Cong => 146.23/147.14 ( 146.23/147.14 omega__Cong => 146.23/147.14 ( 146.23/147.14 exuEu => 146.23/147.14 ( 146.23/147.14 descr__Cong => 146.23/147.14 ( 146.23/147.14 dsetconstr__Cong => 146.23/147.14 ( 146.23/147.14 subsetI1 => 146.23/147.14 ( 146.23/147.14 eqimpsubset2 => 146.23/147.14 ( 146.23/147.14 eqimpsubset1 => 146.23/147.14 ( 146.23/147.14 subsetI2 => 146.23/147.14 ( 146.23/147.14 emptysetsubset => 146.23/147.14 ( 146.23/147.14 subsetE => 146.23/147.14 ( 146.23/147.14 subsetE2 => 146.23/147.14 ( 146.23/147.14 notsubsetI => 146.23/147.14 ( 146.23/147.14 notequalI1 => 146.23/147.14 ( 146.23/147.14 notequalI2 => 146.23/147.14 ( 146.23/147.14 subsetRefl => 146.23/147.14 ( 146.23/147.14 subsetTrans => 146.23/147.14 ( 146.23/147.14 setadjoinSub => 146.23/147.14 ( 146.23/147.14 setadjoinSub2 => 146.23/147.14 ( 146.23/147.14 subset2powerset => 146.23/147.14 ( 146.23/147.14 setextsub => 146.23/147.14 ( 146.23/147.14 subsetemptysetimpeq => 146.23/147.14 ( 146.23/147.14 powersetI1 => 146.23/147.14 ( 146.23/147.14 powersetE1 => 146.23/147.14 ( 146.23/147.14 inPowerset => 146.23/147.14 ( 146.23/147.14 powersetsubset => 146.23/147.14 ( 146.23/147.14 sepInPowerset => 146.23/147.14 ( 146.23/147.14 sepSubset => 146.23/147.14 ( 146.23/147.14 binunionIL => 146.23/147.14 ( 146.23/147.14 upairset2IR => 146.23/147.14 ( 146.23/147.14 binunionIR => 146.23/147.14 ( 146.23/147.14 binunionEcases => 146.23/147.14 ( 146.23/147.14 binunionE => 146.23/147.14 ( 146.23/147.14 binunionLsub => 146.23/147.14 ( 146.23/147.14 binunionRsub => 146.23/147.14 ( 146.23/147.14 binintersectI => 146.23/147.14 ( 146.23/147.14 binintersectSubset5 => 146.23/147.14 ( 146.23/147.14 binintersectEL => 146.23/147.14 ( 146.23/147.14 binintersectLsub => 146.23/147.14 ( 146.23/147.14 binintersectSubset2 => 146.23/147.14 ( 146.23/147.14 binintersectSubset3 => 146.23/147.14 ( 146.23/147.14 binintersectER => 146.23/147.14 ( 146.23/147.14 disjointsetsI1 => 146.23/147.14 ( 146.23/147.14 binintersectRsub => 146.23/147.14 ( 146.23/147.14 binintersectSubset4 => 146.23/147.14 ( 146.23/147.14 binintersectSubset1 => 146.23/147.14 ( 146.23/147.14 bs114d => 146.23/147.14 ( 146.23/147.14 setminusI => 146.23/147.14 ( 146.23/147.14 setminusEL => 146.23/147.14 ( 146.23/147.14 setminusER => 146.23/147.14 ( 146.23/147.14 setminusSubset2 => 146.23/147.14 ( 146.23/147.14 setminusERneg => 146.23/147.14 ( 146.23/147.14 setminusELneg => 146.23/147.14 ( 146.23/147.14 setminusILneg => 146.23/147.14 ( 146.23/147.14 setminusIRneg => 146.23/147.14 ( 146.23/147.14 setminusLsub => 146.23/147.14 ( 146.23/147.14 setminusSubset1 => 146.23/147.14 ( 146.23/147.14 symdiffE => 146.23/147.14 ( 146.23/147.14 symdiffI1 => 146.23/147.14 ( 146.23/147.14 symdiffI2 => 146.23/147.14 ( 146.23/147.14 symdiffIneg1 => 146.23/147.14 ( 146.23/147.14 symdiffIneg2 => 146.23/147.14 ( 146.23/147.14 secondinupair => 146.23/147.14 ( 146.23/147.14 setukpairIL => 146.23/147.14 ( 146.23/147.14 setukpairIR => 146.23/147.14 ( 146.23/147.14 kpairiskpair => 146.23/147.14 ( 146.23/147.14 kpairp => 146.23/147.14 ( 146.23/147.14 singletonsubset => 146.23/147.14 ( 146.23/147.14 singletoninpowerset => 146.23/147.14 ( 146.23/147.14 singletoninpowunion => 146.23/147.14 ( 146.23/147.14 upairset2E => 146.23/147.14 ( 146.23/147.14 upairsubunion => 146.23/147.14 ( 146.23/147.14 upairinpowunion => 146.23/147.14 ( 146.23/147.14 ubforcartprodlem1 => 146.23/147.14 ( 146.23/147.14 ubforcartprodlem2 => 146.23/147.14 ( 146.23/147.14 ubforcartprodlem3 => 146.23/147.14 ( 146.23/147.14 cartprodpairin => 146.23/147.14 ( 146.23/147.14 cartprodmempair1 => 146.23/147.14 ( 146.23/147.14 cartprodmempair => 146.23/147.14 ( 146.23/147.14 setunionE2 => 146.23/147.14 ( 146.23/147.14 setunionsingleton1 => 146.23/147.14 ( 146.23/147.14 setunionsingleton2 => 146.23/147.14 ( 146.23/147.14 setunionsingleton => 146.23/147.14 ( 146.23/147.14 singletonprop => 146.23/147.14 ( 146.23/147.14 ex1E1 => 146.23/147.14 ( 146.23/147.14 ex1I => 146.23/147.14 ( 146.23/147.14 ex1I2 => 146.23/147.14 ( 146.23/147.14 singletonsuniq => 146.23/147.14 ( 146.23/147.14 setukpairinjL1 => 146.23/147.14 ( 146.23/147.14 kfstsingleton => 146.23/147.14 ( 146.23/147.14 theprop => 146.23/147.14 ( 146.23/147.14 kfstpairEq => 146.23/147.14 ( 146.23/147.14 cartprodfstin => 146.23/147.14 ( 146.23/147.14 setukpairinjL2 => 146.23/147.14 ( 146.23/147.14 setukpairinjL => 146.23/147.14 ( 146.23/147.14 setukpairinjR11 => 146.23/147.14 ( 146.23/147.14 setukpairinjR12 => 146.23/147.14 ( 146.23/147.14 setukpairinjR1 => 146.23/147.14 ( 146.23/147.14 upairequniteq => 146.23/147.14 ( 146.23/147.14 setukpairinjR2 => 146.23/147.14 ( 146.23/147.14 setukpairinjR => 146.23/147.14 ( 146.23/147.14 ksndsingleton => 146.23/147.14 ( 146.23/147.14 ksndpairEq => 146.23/147.14 ( 146.23/147.14 kpairsurjEq => 146.23/147.14 ( 146.23/147.14 cartprodsndin => 146.23/147.14 ( 146.23/147.14 cartprodpairmemEL => 146.23/147.14 ( 146.23/147.14 cartprodpairmemER => 146.23/147.14 ( 146.23/147.14 cartprodmempaircEq => 146.23/147.14 ( 146.23/147.14 cartprodfstpairEq => 146.23/147.14 ( 146.23/147.14 cartprodsndpairEq => 146.23/147.14 ( 146.23/147.14 cartprodpairsurjEq => 146.23/147.14 ( 146.23/147.14 dpsetconstrI => 146.23/147.14 ( 146.23/147.14 dpsetconstrSub => 146.23/147.14 ( 146.23/147.14 setOfPairsIsBReln => 146.23/147.14 ( 146.23/147.14 dpsetconstrERa => 146.23/147.14 ( 146.23/147.14 dpsetconstrEL1 => 146.23/147.14 ( 146.23/147.14 dpsetconstrEL2 => 146.23/147.14 ( 146.23/147.14 dpsetconstrER => 146.23/147.14 ( 146.23/147.14 funcImageSingleton => 146.23/147.14 ( 146.23/147.14 apProp => 146.23/147.14 ( 146.23/147.14 app => 146.23/147.14 ( 146.23/147.14 infuncsetfunc => 146.23/147.14 ( 146.23/147.14 ap2p => 146.23/147.14 ( 146.23/147.14 funcinfuncset => 146.23/147.14 ( 146.23/147.14 lamProp => 146.23/147.14 ( 146.23/147.14 lamp => 146.23/147.14 ( 146.23/147.14 lam2p => 146.23/147.14 ( 146.23/147.14 brelnall1 => 146.23/147.14 ( 146.23/147.14 brelnall2 => 146.23/147.14 ( 146.23/147.14 ex1E2 => 146.23/147.14 ( 146.23/147.14 funcGraphProp1 => 146.23/147.14 ( 146.23/147.14 funcGraphProp3 => 146.23/147.14 ( 146.23/147.14 funcGraphProp2 => 146.23/147.14 ( 146.23/147.14 funcextLem => 146.23/147.14 ( 146.23/147.14 funcGraphProp4 => 146.23/147.14 ( 146.23/147.14 subbreln => 146.23/147.14 ( 146.23/147.14 eqbreln => 146.23/147.14 ( 146.23/147.14 funcext => 146.23/147.14 ( 146.23/147.14 funcext2 => 146.23/147.14 ( 146.23/147.14 ap2apEq1 => 146.23/147.14 ( 146.23/147.14 ap2apEq2 => 146.23/147.14 ( 146.23/147.14 beta1 => 146.23/147.14 ( 146.23/147.14 eta1 => 146.23/147.14 ( 146.23/147.14 lam2lamEq => 146.23/147.14 ( 146.23/147.14 beta2 => 146.23/147.14 ( 146.23/147.14 eta2 => 146.23/147.14 ( 146.23/147.14 iffalseProp1 => 146.23/147.14 ( 146.23/147.14 iffalseProp2 => 146.23/147.14 ( 146.23/147.14 iftrueProp1 => 146.23/147.14 ( 146.23/147.14 iftrueProp2 => 146.23/147.14 ( 146.23/147.14 ifSingleton => 146.23/147.14 ( 146.23/147.14 ifp => 146.23/147.14 ( 146.23/147.14 theeq => 146.23/147.14 ( 146.23/147.14 iftrue => 146.23/147.14 ( 146.23/147.14 iffalse => 146.23/147.14 ( 146.23/147.14 iftrueorfalse => 146.23/147.14 ( 146.23/147.14 binintersectT_lem => 146.23/147.14 ( 146.23/147.14 binunionT_lem => 146.23/147.14 ( 146.23/147.14 powersetT_lem => 146.23/147.14 ( 146.23/147.14 setminusT_lem => 146.23/147.14 ( 146.23/147.14 complementT_lem => 146.23/147.14 ( 146.23/147.14 setextT => 146.23/147.14 ( 146.23/147.14 subsetTI => 146.23/147.14 ( 146.23/147.14 powersetTI1 => 146.23/147.14 ( 146.23/147.14 powersetTE1 => 146.23/147.14 ( 146.23/147.14 complementTI1 => 146.23/147.14 ( 146.23/147.14 complementTE1 => 146.23/147.14 ( 146.23/147.14 binintersectTELcontra => 146.23/147.14 ( 146.23/147.14 binintersectTERcontra => 146.23/147.14 ( 146.23/147.14 contrasubsetT => 146.23/147.14 ( 146.23/147.14 contrasubsetT1 => 146.23/147.14 ( 146.23/147.14 contrasubsetT2 => 146.23/147.14 ( 146.23/147.14 contrasubsetT3 => 146.23/147.14 ( 146.23/147.14 doubleComplementI1 => 146.23/147.14 ( 146.23/147.14 doubleComplementE1 => 146.23/147.14 ( 146.23/147.14 doubleComplementSub1 => 146.23/147.14 ( 146.23/147.14 doubleComplementSub2 => 146.23/147.14 ( 146.23/147.14 doubleComplementEq => 146.23/147.14 ( 146.23/147.14 complementTnotintersectT => 146.23/147.14 ( 146.23/147.14 complementImpComplementIntersect => 146.23/147.14 ( 146.23/147.14 complementSubsetComplementIntersect => 146.23/147.14 ( 146.23/147.14 complementInPowersetComplementIntersect => 146.23/147.14 ( 146.23/147.14 contraSubsetComplement => 146.23/147.14 ( 146.23/147.14 complementTcontraSubset => 146.23/147.14 ( 146.23/147.14 binunionTILcontra => 146.23/147.14 ( 146.23/147.14 binunionTIRcontra => 146.23/147.14 ( 146.23/147.14 inIntersectImpInUnion => 146.23/147.14 ( 146.23/147.14 inIntersectImpInUnion2 => 146.23/147.14 ( 146.23/147.14 inIntersectImpInIntersectUnions => 146.23/147.14 ( 146.23/147.14 intersectInPowersetIntersectUnions => 146.23/147.14 ( 146.23/147.14 inComplementUnionImpNotIn1 => 146.23/147.14 ( 146.23/147.14 inComplementUnionImpInComplement1 => 146.23/147.14 ( 146.23/147.14 binunionTE => 146.23/147.14 ( 146.23/147.14 binunionTEcontra => 146.23/147.14 ( 146.23/147.14 demorgan2a1 => 146.23/147.14 ( 146.23/147.14 complementUnionInPowersetComplement => 146.23/147.14 ( 146.23/147.14 demorgan2a2 => 146.23/147.14 ( 146.23/147.14 demorgan1a => 146.23/147.14 ( 146.23/147.14 demorgan1b => 146.23/147.14 ( 146.23/147.14 demorgan1 => 146.23/147.14 ( 146.23/147.14 demorgan2a => 146.23/147.14 ( 146.23/147.14 demorgan2b2 => 146.23/147.14 ( 146.23/147.14 demorgan2b => 146.23/147.14 ( 146.23/147.14 demorgan2 => 146.23/147.14 ( 146.23/147.14 woz13rule0 => 146.23/147.14 ( 146.23/147.14 woz13rule1 => 146.23/147.14 ( 146.23/147.14 woz13rule2 => 146.23/147.14 ( 146.23/147.14 woz13rule3 => 146.23/147.14 ( 146.23/147.14 woz13rule4 => 146.23/147.14 ( 146.23/147.14 woz1_1 => 146.23/147.14 ( 146.23/147.14 woz1_2 => 146.23/147.14 ( 146.23/147.14 woz1_3 => 146.23/147.14 ( 146.23/147.14 woz1_4 => 146.23/147.14 ( 146.23/147.14 woz1_5 => 146.23/147.14 ( 146.23/147.14 breln1all2 => 146.23/147.14 ( 146.23/147.14 breln1SetBreln1 => 146.23/147.14 ( 146.23/147.14 choice2fnsingleton => 146.23/147.14 ( 146.23/147.14 setOfPairsIsBReln1 => 146.23/147.14 ( 146.23/147.14 breln1all1 => 146.23/147.14 ( 146.23/147.14 subbreln1 => 146.23/147.14 ( 146.23/147.14 eqbreln1 => 146.23/147.14 ( 146.23/147.14 breln1invprop => 146.23/147.14 ( 146.23/147.14 breln1invI => 146.23/147.14 ( 146.23/147.14 breln1invE => 146.23/147.14 ( 146.23/147.14 breln1compprop => 146.23/147.14 ( 146.23/147.14 breln1compI => 146.23/147.14 ( 146.23/147.14 breln1compE => 146.23/147.14 ( 146.23/147.14 breln1compEex => 146.23/147.14 ( 146.23/147.14 breln1unionprop => 146.23/147.14 ( 146.23/147.14 breln1unionIL => 146.23/147.14 ( 146.23/147.14 breln1unionIR => 146.23/147.14 ( 146.23/147.14 breln1unionI => 146.23/147.14 ( 146.23/147.14 breln1unionE => 146.23/147.14 ( 146.23/147.14 breln1unionEcases => 146.23/147.14 ( 146.23/147.14 breln1unionCommutes => 146.23/147.14 ( 146.23/147.14 woz2Ex => 146.23/147.14 ( 146.23/147.14 woz2W => 146.23/147.14 ( 146.23/147.14 woz2A => 146.23/147.14 ( 146.23/147.14 woz2B => 146.23/147.14 ( 146.23/147.14 image1Ex => 146.23/147.14 ( 146.23/147.14 image1Ex1 => 146.23/147.14 ( 146.23/147.14 image1Equiv => 146.23/147.14 ( 146.23/147.14 image1E => 146.23/147.14 ( 146.23/147.14 image1I => 146.23/147.14 ( 146.23/147.14 injFuncInInjFuncSet => 146.23/147.14 ( 146.23/147.14 injFuncSetFuncIn => 146.23/147.14 ( 146.23/147.14 injFuncSetFuncInj => 146.23/147.14 ( 146.23/147.14 surjFuncSetFuncIn => 146.23/147.14 ( 146.23/147.14 surjFuncSetFuncSurj => 146.23/147.14 ( 146.23/147.14 leftInvIsSurj => 146.23/147.14 ( 146.23/147.14 surjCantorThm => 146.23/147.14 ( 146.23/147.14 foundation2 => 146.23/147.14 ( 146.23/147.14 notinself => 146.23/147.14 ( 146.23/147.14 notinself2 => 146.23/147.14 ( 146.23/147.14 omegaSp => 146.23/147.14 ( 146.23/147.14 omegaSclos => 146.23/147.14 ( 146.23/147.14 peano0notS => 146.23/147.14 ( 146.23/147.14 peanoSinj => 146.23/147.14 ( 146.23/147.14 transitivesetOp1 => 146.23/147.14 ( 146.23/147.14 binintTransitive => 146.23/147.14 ( 146.23/147.14 transitivesetOp2 => 146.23/147.14 ( 146.23/147.14 setunionTransitive => 146.23/147.14 ( 146.23/147.14 ordinalMinLem1 => 146.23/147.14 ( 146.23/147.14 ordinalTransSet => 146.23/147.14 ( 146.23/147.14 ordinalTransSet1 => 146.23/147.14 ( 146.23/147.14 ![X]: 146.23/147.14 (( 146.23/147.14 ![Xx]: 146.23/147.14 (in(Xx,X) => 146.23/147.14 ordinal( 146.23/147.14 Xx))) => 146.23/147.14 transitiveset( 146.23/147.14 setunion( 146.23/147.14 X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 146.23/147.14 tff('6', plain, ![X1149]: (ordinal(X1149) | ~ in(X1149, sk_X_69)), 146.23/147.14 inference('cnf', [status(esa)], [zf_stmt_0])). 146.23/147.14 tff('7', plain, setunionTransitive, 146.23/147.14 inference('cnf', [status(esa)], [zf_stmt_0])). 146.23/147.14 tff('8', plain, ~ transitiveset(setunion(sk_X_69)), 146.23/147.14 inference('cnf', [status(esa)], [zf_stmt_0])). 146.23/147.14 tff('9', plain, 146.23/147.14 ![X1140]: 146.23/147.14 (in(sk_Xx_261(X1140), X1140) 146.23/147.14 | transitiveset(setunion(X1140)) 146.23/147.14 | ~ setunionTransitive), 146.23/147.14 inference('cnf', [status(esa)], [setunionTransitive])). 146.23/147.14 tff('10', plain, $false, 146.23/147.14 inference('eprover', [status(thm)], ['4', '5', '6', '7', '8', '9'])). 146.23/147.14 146.23/147.14 % SZS output end Refutation 146.23/147.14 % Zipperpin 1.5 exiting 146.23/147.14 EOF