0.11/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.zNaU1ZhPfv 0.14/0.35 % Computer : n025.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 12:50:45 EDT 2019 0.14/0.35 % CPUTime : 143.27/144.37 % Running portfolio for 180 s 143.27/144.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 143.27/144.37 % TempDir : /export/starexec/sandbox2/tmp/tmp.zNaU1ZhPfv 143.27/144.37 % Recognized as monomorphic HO. 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.1.sh for 12 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.2.sh for 7 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.sh for 3 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.1.sh for 14 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.2.sh for 12 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.ll.e.sh for 19 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.sh for 13 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.1.sh for 10 143.27/144.37 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.e.sh for 8 143.27/144.37 % Solved by: pragmatic.rudimentary.e.sh 143.27/144.37 % Running : timeout 14 /export/starexec/sandbox2/solver/bin/eprover-ho /export/starexec/sandbox2/tmp/tmp.zNaU1ZhPfv/e_input2724aa --cpu-limit=12 --auto-schedule -s -p. 143.27/144.37 % done 1181 iterations in 3.310s 143.27/144.37 % hashcons stats for terms: size 4096, num 13824, sum length 25236, buckets: small 0, median 7, big 22 143.27/144.37 % proof state stats: {active 561, passive 6226, simpl 0} 143.27/144.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 143.27/144.37 % SZS output start Refutation 143.27/144.37 tff(injFuncInInjFuncSet, conjecture, 143.27/144.37 (setextAx => 143.27/144.37 (emptysetAx => 143.27/144.37 (setadjoinAx => 143.27/144.37 (powersetAx => 143.27/144.37 (setunionAx => 143.27/144.37 (omega0Ax => 143.27/144.37 (omegaSAx => 143.27/144.37 (omegaIndAx => 143.27/144.37 (replAx => 143.27/144.37 (foundationAx => 143.27/144.37 (wellorderingAx => 143.27/144.37 (descrp => 143.27/144.37 (dsetconstrI => 143.27/144.37 (dsetconstrEL => 143.27/144.37 (dsetconstrER => 143.27/144.37 (exuE1 => 143.27/144.37 (prop2setE => 143.27/144.37 (emptysetE => 143.27/144.37 (emptysetimpfalse => 143.27/144.37 (notinemptyset => 143.27/144.37 (exuE3e => 143.27/144.37 (setext => 143.27/144.37 (emptyI => 143.27/144.37 (noeltsimpempty => 143.27/144.37 (setbeta => 143.27/144.37 (nonemptyE1 => 143.27/144.37 (nonemptyI => 143.27/144.37 (nonemptyI1 => 143.27/144.37 (setadjoinIL => 143.27/144.37 (emptyinunitempty => 143.27/144.37 (setadjoinIR => 143.27/144.37 (setadjoinE => 143.27/144.37 (setadjoinOr => 143.27/144.37 (setoftrueEq => 143.27/144.37 (powersetI => 143.27/144.37 (emptyinPowerset => 143.27/144.37 (emptyInPowerset => 143.27/144.37 (powersetE => 143.27/144.37 (setunionI => 143.27/144.37 (setunionE => 143.27/144.37 (subPowSU => 143.27/144.37 (exuE2 => 143.27/144.37 (nonemptyImpWitness => 143.27/144.37 (uniqinunit => 143.27/144.37 (notinsingleton => 143.27/144.37 (eqinunit => 143.27/144.37 (singletonsswitch => 143.27/144.37 (upairsetE => 143.27/144.37 (upairsetIL => 143.27/144.37 (upairsetIR => 143.27/144.37 (emptyE1 => 143.27/144.37 (vacuousDall => 143.27/144.37 (quantDeMorgan1 => 143.27/144.37 (quantDeMorgan2 => 143.27/144.37 (quantDeMorgan3 => 143.27/144.37 (quantDeMorgan4 => 143.27/144.37 (prop2setI => 143.27/144.37 (prop2set2propI => 143.27/144.37 (notdexE => 143.27/144.37 (notdallE => 143.27/144.37 (exuI1 => 143.27/144.37 (exuI3 => 143.27/144.37 (exuI2 => 143.27/144.37 (inCongP => 143.27/144.37 (in__Cong => 143.27/144.37 (exuE3u => 143.27/144.37 ( 143.27/144.37 exu__Cong => 143.27/144.37 ( 143.27/144.37 emptyset__Cong => 143.27/144.37 ( 143.27/144.37 setadjoin__Cong => 143.27/144.37 ( 143.27/144.37 powerset__Cong => 143.27/144.37 ( 143.27/144.37 setunion__Cong => 143.27/144.37 ( 143.27/144.37 omega__Cong => 143.27/144.37 ( 143.27/144.37 exuEu => 143.27/144.37 ( 143.27/144.37 descr__Cong => 143.27/144.37 ( 143.27/144.37 dsetconstr__Cong => 143.27/144.37 ( 143.27/144.37 subsetI1 => 143.27/144.37 ( 143.27/144.37 eqimpsubset2 => 143.27/144.37 ( 143.27/144.37 eqimpsubset1 => 143.27/144.37 ( 143.27/144.37 subsetI2 => 143.27/144.37 ( 143.27/144.37 emptysetsubset => 143.27/144.37 ( 143.27/144.37 subsetE => 143.27/144.37 ( 143.27/144.37 subsetE2 => 143.27/144.37 ( 143.27/144.37 notsubsetI => 143.27/144.37 ( 143.27/144.37 notequalI1 => 143.27/144.37 ( 143.27/144.37 notequalI2 => 143.27/144.37 ( 143.27/144.37 subsetRefl => 143.27/144.37 ( 143.27/144.37 subsetTrans => 143.27/144.37 ( 143.27/144.37 setadjoinSub => 143.27/144.37 ( 143.27/144.37 setadjoinSub2 => 143.27/144.37 ( 143.27/144.37 subset2powerset => 143.27/144.37 ( 143.27/144.37 setextsub => 143.27/144.37 ( 143.27/144.37 subsetemptysetimpeq => 143.27/144.37 ( 143.27/144.37 powersetI1 => 143.27/144.37 ( 143.27/144.37 powersetE1 => 143.27/144.37 ( 143.27/144.37 inPowerset => 143.27/144.37 ( 143.27/144.37 powersetsubset => 143.27/144.37 ( 143.27/144.37 sepInPowerset => 143.27/144.37 ( 143.27/144.37 sepSubset => 143.27/144.37 ( 143.27/144.37 binunionIL => 143.27/144.37 ( 143.27/144.37 upairset2IR => 143.27/144.37 ( 143.27/144.37 binunionIR => 143.27/144.37 ( 143.27/144.37 binunionEcases => 143.27/144.37 ( 143.27/144.37 binunionE => 143.27/144.37 ( 143.27/144.37 binunionLsub => 143.27/144.37 ( 143.27/144.37 binunionRsub => 143.27/144.37 ( 143.27/144.37 binintersectI => 143.27/144.37 ( 143.27/144.37 binintersectSubset5 => 143.27/144.37 ( 143.27/144.37 binintersectEL => 143.27/144.37 ( 143.27/144.37 binintersectLsub => 143.27/144.37 ( 143.27/144.37 binintersectSubset2 => 143.27/144.37 ( 143.27/144.37 binintersectSubset3 => 143.27/144.37 ( 143.27/144.37 binintersectER => 143.27/144.37 ( 143.27/144.37 disjointsetsI1 => 143.27/144.37 ( 143.27/144.37 binintersectRsub => 143.27/144.37 ( 143.27/144.37 binintersectSubset4 => 143.27/144.37 ( 143.27/144.37 binintersectSubset1 => 143.27/144.37 ( 143.27/144.37 bs114d => 143.27/144.37 ( 143.27/144.37 setminusI => 143.27/144.37 ( 143.27/144.37 setminusEL => 143.27/144.37 ( 143.27/144.37 setminusER => 143.27/144.37 ( 143.27/144.37 setminusSubset2 => 143.27/144.37 ( 143.27/144.37 setminusERneg => 143.27/144.37 ( 143.27/144.37 setminusELneg => 143.27/144.37 ( 143.27/144.37 setminusILneg => 143.27/144.37 ( 143.27/144.37 setminusIRneg => 143.27/144.37 ( 143.27/144.37 setminusLsub => 143.27/144.37 ( 143.27/144.37 setminusSubset1 => 143.27/144.37 ( 143.27/144.37 symdiffE => 143.27/144.37 ( 143.27/144.37 symdiffI1 => 143.27/144.37 ( 143.27/144.37 symdiffI2 => 143.27/144.37 ( 143.27/144.37 symdiffIneg1 => 143.27/144.37 ( 143.27/144.37 symdiffIneg2 => 143.27/144.37 ( 143.27/144.37 secondinupair => 143.27/144.37 ( 143.27/144.37 setukpairIL => 143.27/144.37 ( 143.27/144.37 setukpairIR => 143.27/144.37 ( 143.27/144.37 kpairiskpair => 143.27/144.37 ( 143.27/144.37 kpairp => 143.27/144.37 ( 143.27/144.37 singletonsubset => 143.27/144.37 ( 143.27/144.37 singletoninpowerset => 143.27/144.37 ( 143.27/144.37 singletoninpowunion => 143.27/144.37 ( 143.27/144.37 upairset2E => 143.27/144.37 ( 143.27/144.37 upairsubunion => 143.27/144.37 ( 143.27/144.37 upairinpowunion => 143.27/144.37 ( 143.27/144.37 ubforcartprodlem1 => 143.27/144.37 ( 143.27/144.37 ubforcartprodlem2 => 143.27/144.37 ( 143.27/144.37 ubforcartprodlem3 => 143.27/144.37 ( 143.27/144.37 cartprodpairin => 143.27/144.37 ( 143.27/144.37 cartprodmempair1 => 143.27/144.37 ( 143.27/144.37 cartprodmempair => 143.27/144.37 ( 143.27/144.37 setunionE2 => 143.27/144.37 ( 143.27/144.37 setunionsingleton1 => 143.27/144.37 ( 143.27/144.37 setunionsingleton2 => 143.27/144.37 ( 143.27/144.37 setunionsingleton => 143.27/144.37 ( 143.27/144.37 singletonprop => 143.27/144.37 ( 143.27/144.37 ex1E1 => 143.27/144.37 ( 143.27/144.37 ex1I => 143.27/144.37 ( 143.27/144.37 ex1I2 => 143.27/144.37 ( 143.27/144.37 singletonsuniq => 143.27/144.37 ( 143.27/144.37 setukpairinjL1 => 143.27/144.37 ( 143.27/144.37 kfstsingleton => 143.27/144.37 ( 143.27/144.37 theprop => 143.27/144.37 ( 143.27/144.37 kfstpairEq => 143.27/144.37 ( 143.27/144.37 cartprodfstin => 143.27/144.37 ( 143.27/144.37 setukpairinjL2 => 143.27/144.37 ( 143.27/144.37 setukpairinjL => 143.27/144.37 ( 143.27/144.37 setukpairinjR11 => 143.27/144.37 ( 143.27/144.37 setukpairinjR12 => 143.27/144.37 ( 143.27/144.37 setukpairinjR1 => 143.27/144.37 ( 143.27/144.37 upairequniteq => 143.27/144.37 ( 143.27/144.37 setukpairinjR2 => 143.27/144.37 ( 143.27/144.37 setukpairinjR => 143.27/144.37 ( 143.27/144.37 ksndsingleton => 143.27/144.37 ( 143.27/144.37 ksndpairEq => 143.27/144.37 ( 143.27/144.37 kpairsurjEq => 143.27/144.37 ( 143.27/144.37 cartprodsndin => 143.27/144.37 ( 143.27/144.37 cartprodpairmemEL => 143.27/144.37 ( 143.27/144.37 cartprodpairmemER => 143.27/144.37 ( 143.27/144.37 cartprodmempaircEq => 143.27/144.37 ( 143.27/144.37 cartprodfstpairEq => 143.27/144.37 ( 143.27/144.37 cartprodsndpairEq => 143.27/144.37 ( 143.27/144.37 cartprodpairsurjEq => 143.27/144.37 ( 143.27/144.37 dpsetconstrI => 143.27/144.37 ( 143.27/144.37 dpsetconstrSub => 143.27/144.37 ( 143.27/144.37 setOfPairsIsBReln => 143.27/144.37 ( 143.27/144.37 dpsetconstrERa => 143.27/144.37 ( 143.27/144.37 dpsetconstrEL1 => 143.27/144.37 ( 143.27/144.37 dpsetconstrEL2 => 143.27/144.37 ( 143.27/144.37 dpsetconstrER => 143.27/144.37 ( 143.27/144.37 funcImageSingleton => 143.27/144.37 ( 143.27/144.37 apProp => 143.27/144.37 ( 143.27/144.37 app => 143.27/144.37 ( 143.27/144.37 infuncsetfunc => 143.27/144.37 ( 143.27/144.37 ap2p => 143.27/144.37 ( 143.27/144.37 funcinfuncset => 143.27/144.37 ( 143.27/144.37 lamProp => 143.27/144.37 ( 143.27/144.37 lamp => 143.27/144.37 ( 143.27/144.37 lam2p => 143.27/144.37 ( 143.27/144.37 brelnall1 => 143.27/144.37 ( 143.27/144.37 brelnall2 => 143.27/144.37 ( 143.27/144.37 ex1E2 => 143.27/144.37 ( 143.27/144.37 funcGraphProp1 => 143.27/144.37 ( 143.27/144.37 funcGraphProp3 => 143.27/144.37 ( 143.27/144.37 funcGraphProp2 => 143.27/144.37 ( 143.27/144.37 funcextLem => 143.27/144.37 ( 143.27/144.37 funcGraphProp4 => 143.27/144.37 ( 143.27/144.37 subbreln => 143.27/144.37 ( 143.27/144.37 eqbreln => 143.27/144.37 ( 143.27/144.37 funcext => 143.27/144.37 ( 143.27/144.37 funcext2 => 143.27/144.37 ( 143.27/144.37 ap2apEq1 => 143.27/144.37 ( 143.27/144.37 ap2apEq2 => 143.27/144.37 ( 143.27/144.37 beta1 => 143.27/144.37 ( 143.27/144.37 eta1 => 143.27/144.37 ( 143.27/144.37 lam2lamEq => 143.27/144.37 ( 143.27/144.37 beta2 => 143.27/144.37 ( 143.27/144.37 eta2 => 143.27/144.37 ( 143.27/144.37 iffalseProp1 => 143.27/144.37 ( 143.27/144.37 iffalseProp2 => 143.27/144.37 ( 143.27/144.37 iftrueProp1 => 143.27/144.37 ( 143.27/144.37 iftrueProp2 => 143.27/144.37 ( 143.27/144.37 ifSingleton => 143.27/144.37 ( 143.27/144.37 ifp => 143.27/144.37 ( 143.27/144.37 theeq => 143.27/144.37 ( 143.27/144.37 iftrue => 143.27/144.37 ( 143.27/144.37 iffalse => 143.27/144.37 ( 143.27/144.37 iftrueorfalse => 143.27/144.37 ( 143.27/144.37 binintersectT_lem => 143.27/144.37 ( 143.27/144.37 binunionT_lem => 143.27/144.37 ( 143.27/144.37 powersetT_lem => 143.27/144.37 ( 143.27/144.37 setminusT_lem => 143.27/144.37 ( 143.27/144.37 complementT_lem => 143.27/144.37 ( 143.27/144.37 setextT => 143.27/144.37 ( 143.27/144.37 subsetTI => 143.27/144.37 ( 143.27/144.37 powersetTI1 => 143.27/144.37 ( 143.27/144.37 powersetTE1 => 143.27/144.37 ( 143.27/144.37 complementTI1 => 143.27/144.37 ( 143.27/144.37 complementTE1 => 143.27/144.37 ( 143.27/144.37 binintersectTELcontra => 143.27/144.37 ( 143.27/144.37 binintersectTERcontra => 143.27/144.37 ( 143.27/144.37 contrasubsetT => 143.27/144.37 ( 143.27/144.37 contrasubsetT1 => 143.27/144.37 ( 143.27/144.37 contrasubsetT2 => 143.27/144.37 ( 143.27/144.37 contrasubsetT3 => 143.27/144.37 ( 143.27/144.37 doubleComplementI1 => 143.27/144.37 ( 143.27/144.37 doubleComplementE1 => 143.27/144.37 ( 143.27/144.37 doubleComplementSub1 => 143.27/144.37 ( 143.27/144.37 doubleComplementSub2 => 143.27/144.37 ( 143.27/144.37 doubleComplementEq => 143.27/144.37 ( 143.27/144.37 complementTnotintersectT => 143.27/144.37 ( 143.27/144.37 complementImpComplementIntersect => 143.27/144.37 ( 143.27/144.37 complementSubsetComplementIntersect => 143.27/144.37 ( 143.27/144.37 complementInPowersetComplementIntersect => 143.27/144.37 ( 143.27/144.37 contraSubsetComplement => 143.27/144.37 ( 143.27/144.37 complementTcontraSubset => 143.27/144.37 ( 143.27/144.37 binunionTILcontra => 143.27/144.37 ( 143.27/144.37 binunionTIRcontra => 143.27/144.37 ( 143.27/144.37 inIntersectImpInUnion => 143.27/144.37 ( 143.27/144.37 inIntersectImpInUnion2 => 143.27/144.37 ( 143.27/144.37 inIntersectImpInIntersectUnions => 143.27/144.37 ( 143.27/144.37 intersectInPowersetIntersectUnions => 143.27/144.37 ( 143.27/144.37 inComplementUnionImpNotIn1 => 143.27/144.37 ( 143.27/144.37 inComplementUnionImpInComplement1 => 143.27/144.37 ( 143.27/144.37 binunionTE => 143.27/144.37 ( 143.27/144.37 binunionTEcontra => 143.27/144.37 ( 143.27/144.37 demorgan2a1 => 143.27/144.37 ( 143.27/144.37 complementUnionInPowersetComplement => 143.27/144.37 ( 143.27/144.37 demorgan2a2 => 143.27/144.37 ( 143.27/144.37 demorgan1a => 143.27/144.37 ( 143.27/144.37 demorgan1b => 143.27/144.37 ( 143.27/144.37 demorgan1 => 143.27/144.37 ( 143.27/144.37 demorgan2a => 143.27/144.37 ( 143.27/144.37 demorgan2b2 => 143.27/144.37 ( 143.27/144.37 demorgan2b => 143.27/144.37 ( 143.27/144.37 demorgan2 => 143.27/144.37 ( 143.27/144.37 woz13rule0 => 143.27/144.37 ( 143.27/144.37 woz13rule1 => 143.27/144.37 ( 143.27/144.37 woz13rule2 => 143.27/144.37 ( 143.27/144.37 woz13rule3 => 143.27/144.37 ( 143.27/144.37 woz13rule4 => 143.27/144.37 ( 143.27/144.37 woz1_1 => 143.27/144.37 ( 143.27/144.37 woz1_2 => 143.27/144.37 ( 143.27/144.37 woz1_3 => 143.27/144.37 ( 143.27/144.37 woz1_4 => 143.27/144.37 ( 143.27/144.37 woz1_5 => 143.27/144.37 ( 143.27/144.37 breln1all2 => 143.27/144.37 ( 143.27/144.37 breln1SetBreln1 => 143.27/144.37 ( 143.27/144.37 choice2fnsingleton => 143.27/144.37 ( 143.27/144.37 setOfPairsIsBReln1 => 143.27/144.37 ( 143.27/144.37 breln1all1 => 143.27/144.37 ( 143.27/144.37 subbreln1 => 143.27/144.37 ( 143.27/144.37 eqbreln1 => 143.27/144.37 ( 143.27/144.37 breln1invprop => 143.27/144.37 ( 143.27/144.37 breln1invI => 143.27/144.37 ( 143.27/144.37 breln1invE => 143.27/144.37 ( 143.27/144.37 breln1compprop => 143.27/144.37 ( 143.27/144.37 breln1compI => 143.27/144.37 ( 143.27/144.37 breln1compE => 143.27/144.37 ( 143.27/144.37 breln1compEex => 143.27/144.37 ( 143.27/144.37 breln1unionprop => 143.27/144.37 ( 143.27/144.37 breln1unionIL => 143.27/144.37 ( 143.27/144.37 breln1unionIR => 143.27/144.37 ( 143.27/144.37 breln1unionI => 143.27/144.37 ( 143.27/144.37 breln1unionE => 143.27/144.37 ( 143.27/144.37 breln1unionEcases => 143.27/144.37 ( 143.27/144.37 breln1unionCommutes => 143.27/144.37 ( 143.27/144.37 woz2Ex => 143.27/144.37 ( 143.27/144.37 woz2W => 143.27/144.37 ( 143.27/144.37 woz2A => 143.27/144.37 ( 143.27/144.37 woz2B => 143.27/144.37 ( 143.27/144.37 image1Ex => 143.27/144.37 ( 143.27/144.37 image1Ex1 => 143.27/144.37 ( 143.27/144.37 image1Equiv => 143.27/144.37 ( 143.27/144.37 image1E => 143.27/144.37 ( 143.27/144.37 image1I => 143.27/144.37 ( 143.27/144.37 ![A,B,Xf]: 143.27/144.37 (in( 143.27/144.37 Xf, 143.27/144.37 funcSet( 143.27/144.37 A,B)) => 143.27/144.37 (injective( 143.27/144.37 A,B,Xf) => 143.27/144.37 in( 143.27/144.37 Xf, 143.27/144.37 injFuncSet( 143.27/144.37 A,B)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 143.27/144.37 tff(zf_stmt_0, negated_conjecture, 143.27/144.37 (~ 143.27/144.37 (setextAx => 143.27/144.37 (emptysetAx => 143.27/144.37 (setadjoinAx => 143.27/144.37 (powersetAx => 143.27/144.37 (setunionAx => 143.27/144.37 (omega0Ax => 143.27/144.37 (omegaSAx => 143.27/144.37 (omegaIndAx => 143.27/144.37 (replAx => 143.27/144.37 (foundationAx => 143.27/144.37 (wellorderingAx => 143.27/144.37 (descrp => 143.27/144.37 (dsetconstrI => 143.27/144.37 (dsetconstrEL => 143.27/144.37 (dsetconstrER => 143.27/144.37 (exuE1 => 143.27/144.37 (prop2setE => 143.27/144.38 (emptysetE => 143.27/144.38 (emptysetimpfalse => 143.27/144.38 (notinemptyset => 143.27/144.38 (exuE3e => 143.27/144.38 (setext => 143.27/144.38 (emptyI => 143.27/144.38 (noeltsimpempty => 143.27/144.38 (setbeta => 143.27/144.38 (nonemptyE1 => 143.27/144.38 (nonemptyI => 143.27/144.38 (nonemptyI1 => 143.27/144.38 (setadjoinIL => 143.27/144.38 (emptyinunitempty => 143.27/144.38 (setadjoinIR => 143.27/144.38 (setadjoinE => 143.27/144.38 (setadjoinOr => 143.27/144.38 (setoftrueEq => 143.27/144.38 (powersetI => 143.27/144.38 (emptyinPowerset => 143.27/144.38 (emptyInPowerset => 143.27/144.38 (powersetE => 143.27/144.38 (setunionI => 143.27/144.38 (setunionE => 143.27/144.38 (subPowSU => 143.27/144.38 (exuE2 => 143.27/144.38 (nonemptyImpWitness => 143.27/144.38 (uniqinunit => 143.27/144.38 (notinsingleton => 143.27/144.38 (eqinunit => 143.27/144.38 (singletonsswitch => 143.27/144.38 (upairsetE => 143.27/144.38 (upairsetIL => 143.27/144.38 (upairsetIR => 143.27/144.38 (emptyE1 => 143.27/144.38 (vacuousDall => 143.27/144.38 (quantDeMorgan1 => 143.27/144.38 (quantDeMorgan2 => 143.27/144.38 (quantDeMorgan3 => 143.27/144.38 (quantDeMorgan4 => 143.27/144.38 (prop2setI => 143.27/144.38 (prop2set2propI => 143.27/144.38 (notdexE => 143.27/144.38 (notdallE => 143.27/144.38 (exuI1 => 143.27/144.38 (exuI3 => 143.27/144.38 (exuI2 => 143.27/144.38 (inCongP => 143.27/144.38 ( 143.27/144.38 in__Cong => 143.27/144.38 ( 143.27/144.38 exuE3u => 143.27/144.38 ( 143.27/144.38 exu__Cong => 143.27/144.38 ( 143.27/144.38 emptyset__Cong => 143.27/144.38 ( 143.27/144.38 setadjoin__Cong => 143.27/144.38 ( 143.27/144.38 powerset__Cong => 143.27/144.38 ( 143.27/144.38 setunion__Cong => 143.27/144.38 ( 143.27/144.38 omega__Cong => 143.27/144.38 ( 143.27/144.38 exuEu => 143.27/144.38 ( 143.27/144.38 descr__Cong => 143.27/144.38 ( 143.27/144.38 dsetconstr__Cong => 143.27/144.38 ( 143.27/144.38 subsetI1 => 143.27/144.38 ( 143.27/144.38 eqimpsubset2 => 143.27/144.38 ( 143.27/144.38 eqimpsubset1 => 143.27/144.38 ( 143.27/144.38 subsetI2 => 143.27/144.38 ( 143.27/144.38 emptysetsubset => 143.27/144.38 ( 143.27/144.38 subsetE => 143.27/144.38 ( 143.27/144.38 subsetE2 => 143.27/144.38 ( 143.27/144.38 notsubsetI => 143.27/144.38 ( 143.27/144.38 notequalI1 => 143.27/144.38 ( 143.27/144.38 notequalI2 => 143.27/144.38 ( 143.27/144.38 subsetRefl => 143.27/144.38 ( 143.27/144.38 subsetTrans => 143.27/144.38 ( 143.27/144.38 setadjoinSub => 143.27/144.38 ( 143.27/144.38 setadjoinSub2 => 143.27/144.38 ( 143.27/144.38 subset2powerset => 143.27/144.38 ( 143.27/144.38 setextsub => 143.27/144.38 ( 143.27/144.38 subsetemptysetimpeq => 143.27/144.38 ( 143.27/144.38 powersetI1 => 143.27/144.38 ( 143.27/144.38 powersetE1 => 143.27/144.38 ( 143.27/144.38 inPowerset => 143.27/144.38 ( 143.27/144.38 powersetsubset => 143.27/144.38 ( 143.27/144.38 sepInPowerset => 143.27/144.38 ( 143.27/144.38 sepSubset => 143.27/144.38 ( 143.27/144.38 binunionIL => 143.27/144.38 ( 143.27/144.38 upairset2IR => 143.27/144.38 ( 143.27/144.38 binunionIR => 143.27/144.38 ( 143.27/144.38 binunionEcases => 143.27/144.38 ( 143.27/144.38 binunionE => 143.27/144.38 ( 143.27/144.38 binunionLsub => 143.27/144.38 ( 143.27/144.38 binunionRsub => 143.27/144.38 ( 143.27/144.38 binintersectI => 143.27/144.38 ( 143.27/144.38 binintersectSubset5 => 143.27/144.38 ( 143.27/144.38 binintersectEL => 143.27/144.38 ( 143.27/144.38 binintersectLsub => 143.27/144.38 ( 143.27/144.38 binintersectSubset2 => 143.27/144.38 ( 143.27/144.38 binintersectSubset3 => 143.27/144.38 ( 143.27/144.38 binintersectER => 143.27/144.38 ( 143.27/144.38 disjointsetsI1 => 143.27/144.38 ( 143.27/144.38 binintersectRsub => 143.27/144.38 ( 143.27/144.38 binintersectSubset4 => 143.27/144.38 ( 143.27/144.38 binintersectSubset1 => 143.27/144.38 ( 143.27/144.38 bs114d => 143.27/144.38 ( 143.27/144.38 setminusI => 143.27/144.38 ( 143.27/144.38 setminusEL => 143.27/144.38 ( 143.27/144.38 setminusER => 143.27/144.38 ( 143.27/144.38 setminusSubset2 => 143.27/144.38 ( 143.27/144.38 setminusERneg => 143.27/144.38 ( 143.27/144.38 setminusELneg => 143.27/144.38 ( 143.27/144.38 setminusILneg => 143.27/144.38 ( 143.27/144.38 setminusIRneg => 143.27/144.38 ( 143.27/144.38 setminusLsub => 143.27/144.38 ( 143.27/144.38 setminusSubset1 => 143.27/144.38 ( 143.27/144.38 symdiffE => 143.27/144.38 ( 143.27/144.38 symdiffI1 => 143.27/144.38 ( 143.27/144.38 symdiffI2 => 143.27/144.38 ( 143.27/144.38 symdiffIneg1 => 143.27/144.38 ( 143.27/144.38 symdiffIneg2 => 143.27/144.38 ( 143.27/144.38 secondinupair => 143.27/144.38 ( 143.27/144.38 setukpairIL => 143.27/144.38 ( 143.27/144.38 setukpairIR => 143.27/144.38 ( 143.27/144.38 kpairiskpair => 143.27/144.38 ( 143.27/144.38 kpairp => 143.27/144.38 ( 143.27/144.38 singletonsubset => 143.27/144.38 ( 143.27/144.38 singletoninpowerset => 143.27/144.38 ( 143.27/144.38 singletoninpowunion => 143.27/144.38 ( 143.27/144.38 upairset2E => 143.27/144.38 ( 143.27/144.38 upairsubunion => 143.27/144.38 ( 143.27/144.38 upairinpowunion => 143.27/144.38 ( 143.27/144.38 ubforcartprodlem1 => 143.27/144.38 ( 143.27/144.38 ubforcartprodlem2 => 143.27/144.38 ( 143.27/144.38 ubforcartprodlem3 => 143.27/144.38 ( 143.27/144.38 cartprodpairin => 143.27/144.38 ( 143.27/144.38 cartprodmempair1 => 143.27/144.38 ( 143.27/144.38 cartprodmempair => 143.27/144.38 ( 143.27/144.38 setunionE2 => 143.27/144.38 ( 143.27/144.38 setunionsingleton1 => 143.27/144.38 ( 143.27/144.38 setunionsingleton2 => 143.27/144.38 ( 143.27/144.38 setunionsingleton => 143.27/144.38 ( 143.27/144.38 singletonprop => 143.27/144.38 ( 143.27/144.38 ex1E1 => 143.27/144.38 ( 143.27/144.38 ex1I => 143.27/144.38 ( 143.27/144.38 ex1I2 => 143.27/144.38 ( 143.27/144.38 singletonsuniq => 143.27/144.38 ( 143.27/144.38 setukpairinjL1 => 143.27/144.38 ( 143.27/144.38 kfstsingleton => 143.27/144.38 ( 143.27/144.38 theprop => 143.27/144.38 ( 143.27/144.38 kfstpairEq => 143.27/144.38 ( 143.27/144.38 cartprodfstin => 143.27/144.38 ( 143.27/144.38 setukpairinjL2 => 143.27/144.38 ( 143.27/144.38 setukpairinjL => 143.27/144.38 ( 143.27/144.38 setukpairinjR11 => 143.27/144.38 ( 143.27/144.38 setukpairinjR12 => 143.27/144.38 ( 143.27/144.38 setukpairinjR1 => 143.27/144.38 ( 143.27/144.38 upairequniteq => 143.27/144.38 ( 143.27/144.38 setukpairinjR2 => 143.27/144.38 ( 143.27/144.38 setukpairinjR => 143.27/144.38 ( 143.27/144.38 ksndsingleton => 143.27/144.38 ( 143.27/144.38 ksndpairEq => 143.27/144.38 ( 143.27/144.38 kpairsurjEq => 143.27/144.38 ( 143.27/144.38 cartprodsndin => 143.27/144.38 ( 143.27/144.38 cartprodpairmemEL => 143.27/144.38 ( 143.27/144.38 cartprodpairmemER => 143.27/144.38 ( 143.27/144.38 cartprodmempaircEq => 143.27/144.38 ( 143.27/144.38 cartprodfstpairEq => 143.27/144.38 ( 143.27/144.38 cartprodsndpairEq => 143.27/144.38 ( 143.27/144.38 cartprodpairsurjEq => 143.27/144.38 ( 143.27/144.38 dpsetconstrI => 143.27/144.38 ( 143.27/144.38 dpsetconstrSub => 143.27/144.38 ( 143.27/144.38 setOfPairsIsBReln => 143.27/144.38 ( 143.27/144.38 dpsetconstrERa => 143.27/144.38 ( 143.27/144.38 dpsetconstrEL1 => 143.27/144.38 ( 143.27/144.38 dpsetconstrEL2 => 143.27/144.38 ( 143.27/144.38 dpsetconstrER => 143.27/144.38 ( 143.27/144.38 funcImageSingleton => 143.27/144.38 ( 143.27/144.38 apProp => 143.27/144.38 ( 143.27/144.38 app => 143.27/144.38 ( 143.27/144.38 infuncsetfunc => 143.27/144.38 ( 143.27/144.38 ap2p => 143.27/144.38 ( 143.27/144.38 funcinfuncset => 143.27/144.38 ( 143.27/144.38 lamProp => 143.27/144.38 ( 143.27/144.38 lamp => 143.27/144.38 ( 143.27/144.38 lam2p => 143.27/144.38 ( 143.27/144.38 brelnall1 => 143.27/144.38 ( 143.27/144.38 brelnall2 => 143.27/144.38 ( 143.27/144.38 ex1E2 => 143.27/144.38 ( 143.27/144.38 funcGraphProp1 => 143.27/144.38 ( 143.27/144.38 funcGraphProp3 => 143.27/144.38 ( 143.27/144.38 funcGraphProp2 => 143.27/144.38 ( 143.27/144.38 funcextLem => 143.27/144.38 ( 143.27/144.38 funcGraphProp4 => 143.27/144.38 ( 143.27/144.38 subbreln => 143.27/144.38 ( 143.27/144.38 eqbreln => 143.27/144.38 ( 143.27/144.38 funcext => 143.27/144.38 ( 143.27/144.38 funcext2 => 143.27/144.38 ( 143.27/144.38 ap2apEq1 => 143.27/144.38 ( 143.27/144.38 ap2apEq2 => 143.27/144.38 ( 143.27/144.38 beta1 => 143.27/144.38 ( 143.27/144.38 eta1 => 143.27/144.38 ( 143.27/144.38 lam2lamEq => 143.27/144.38 ( 143.27/144.38 beta2 => 143.27/144.38 ( 143.27/144.38 eta2 => 143.27/144.38 ( 143.27/144.38 iffalseProp1 => 143.27/144.38 ( 143.27/144.38 iffalseProp2 => 143.27/144.38 ( 143.27/144.38 iftrueProp1 => 143.27/144.38 ( 143.27/144.38 iftrueProp2 => 143.27/144.38 ( 143.27/144.38 ifSingleton => 143.27/144.38 ( 143.27/144.38 ifp => 143.27/144.38 ( 143.27/144.38 theeq => 143.27/144.38 ( 143.27/144.38 iftrue => 143.27/144.38 ( 143.27/144.38 iffalse => 143.27/144.38 ( 143.27/144.38 iftrueorfalse => 143.27/144.38 ( 143.27/144.38 binintersectT_lem => 143.27/144.38 ( 143.27/144.38 binunionT_lem => 143.27/144.38 ( 143.27/144.38 powersetT_lem => 143.27/144.38 ( 143.27/144.38 setminusT_lem => 143.27/144.38 ( 143.27/144.38 complementT_lem => 143.27/144.38 ( 143.27/144.38 setextT => 143.27/144.38 ( 143.27/144.38 subsetTI => 143.27/144.38 ( 143.27/144.38 powersetTI1 => 143.27/144.38 ( 143.27/144.38 powersetTE1 => 143.27/144.38 ( 143.27/144.38 complementTI1 => 143.27/144.38 ( 143.27/144.38 complementTE1 => 143.27/144.38 ( 143.27/144.38 binintersectTELcontra => 143.27/144.38 ( 143.27/144.38 binintersectTERcontra => 143.27/144.38 ( 143.27/144.38 contrasubsetT => 143.27/144.38 ( 143.27/144.38 contrasubsetT1 => 143.27/144.38 ( 143.27/144.38 contrasubsetT2 => 143.27/144.38 ( 143.27/144.38 contrasubsetT3 => 143.27/144.38 ( 143.27/144.38 doubleComplementI1 => 143.27/144.38 ( 143.27/144.38 doubleComplementE1 => 143.27/144.38 ( 143.27/144.38 doubleComplementSub1 => 143.27/144.38 ( 143.27/144.38 doubleComplementSub2 => 143.27/144.38 ( 143.27/144.38 doubleComplementEq => 143.27/144.38 ( 143.27/144.38 complementTnotintersectT => 143.27/144.38 ( 143.27/144.38 complementImpComplementIntersect => 143.27/144.38 ( 143.27/144.38 complementSubsetComplementIntersect => 143.27/144.38 ( 143.27/144.38 complementInPowersetComplementIntersect => 143.27/144.38 ( 143.27/144.38 contraSubsetComplement => 143.27/144.38 ( 143.27/144.38 complementTcontraSubset => 143.27/144.38 ( 143.27/144.38 binunionTILcontra => 143.27/144.38 ( 143.27/144.38 binunionTIRcontra => 143.27/144.38 ( 143.27/144.38 inIntersectImpInUnion => 143.27/144.38 ( 143.27/144.38 inIntersectImpInUnion2 => 143.27/144.38 ( 143.27/144.38 inIntersectImpInIntersectUnions => 143.27/144.38 ( 143.27/144.38 intersectInPowersetIntersectUnions => 143.27/144.38 ( 143.27/144.38 inComplementUnionImpNotIn1 => 143.27/144.38 ( 143.27/144.38 inComplementUnionImpInComplement1 => 143.27/144.38 ( 143.27/144.38 binunionTE => 143.27/144.38 ( 143.27/144.38 binunionTEcontra => 143.27/144.38 ( 143.27/144.38 demorgan2a1 => 143.27/144.38 ( 143.27/144.38 complementUnionInPowersetComplement => 143.27/144.38 ( 143.27/144.38 demorgan2a2 => 143.27/144.38 ( 143.27/144.38 demorgan1a => 143.27/144.38 ( 143.27/144.38 demorgan1b => 143.27/144.38 ( 143.27/144.38 demorgan1 => 143.27/144.38 ( 143.27/144.38 demorgan2a => 143.27/144.38 ( 143.27/144.38 demorgan2b2 => 143.27/144.38 ( 143.27/144.38 demorgan2b => 143.27/144.38 ( 143.27/144.38 demorgan2 => 143.27/144.38 ( 143.27/144.38 woz13rule0 => 143.27/144.38 ( 143.27/144.38 woz13rule1 => 143.27/144.38 ( 143.27/144.38 woz13rule2 => 143.27/144.38 ( 143.27/144.38 woz13rule3 => 143.27/144.38 ( 143.27/144.38 woz13rule4 => 143.27/144.38 ( 143.27/144.38 woz1_1 => 143.27/144.38 ( 143.27/144.38 woz1_2 => 143.27/144.38 ( 143.27/144.38 woz1_3 => 143.27/144.38 ( 143.27/144.38 woz1_4 => 143.27/144.38 ( 143.27/144.38 woz1_5 => 143.27/144.38 ( 143.27/144.38 breln1all2 => 143.27/144.38 ( 143.27/144.38 breln1SetBreln1 => 143.27/144.38 ( 143.27/144.38 choice2fnsingleton => 143.27/144.38 ( 143.27/144.38 setOfPairsIsBReln1 => 143.27/144.38 ( 143.27/144.38 breln1all1 => 143.27/144.38 ( 143.27/144.38 subbreln1 => 143.27/144.38 ( 143.27/144.38 eqbreln1 => 143.27/144.38 ( 143.27/144.38 breln1invprop => 143.27/144.38 ( 143.27/144.38 breln1invI => 143.27/144.38 ( 143.27/144.38 breln1invE => 143.27/144.38 ( 143.27/144.38 breln1compprop => 143.27/144.38 ( 143.27/144.38 breln1compI => 143.27/144.38 ( 143.27/144.38 breln1compE => 143.27/144.38 ( 143.27/144.38 breln1compEex => 143.27/144.38 ( 143.27/144.38 breln1unionprop => 143.27/144.38 ( 143.27/144.38 breln1unionIL => 143.27/144.38 ( 143.27/144.38 breln1unionIR => 143.27/144.38 ( 143.27/144.38 breln1unionI => 143.27/144.38 ( 143.27/144.38 breln1unionE => 143.27/144.38 ( 143.27/144.38 breln1unionEcases => 143.27/144.38 ( 143.27/144.38 breln1unionCommutes => 143.27/144.38 ( 143.27/144.38 woz2Ex => 143.27/144.38 ( 143.27/144.38 woz2W => 143.27/144.38 ( 143.27/144.38 woz2A => 143.27/144.38 ( 143.27/144.38 woz2B => 143.27/144.38 ( 143.27/144.38 image1Ex => 143.27/144.38 ( 143.27/144.38 image1Ex1 => 143.27/144.38 ( 143.27/144.38 image1Equiv => 143.27/144.38 ( 143.27/144.38 image1E => 143.27/144.38 ( 143.27/144.38 image1I => 143.27/144.38 ( 143.27/144.38 ![A,B,Xf]: 143.27/144.38 (in( 143.27/144.38 Xf, 143.27/144.38 funcSet( 143.27/144.38 A,B)) => 143.27/144.38 (injective( 143.27/144.38 A,B,Xf) => 143.27/144.38 in( 143.27/144.38 Xf, 143.27/144.38 injFuncSet( 143.27/144.38 A,B))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 143.27/144.38 tff('0', plain, injective(sk_A_256, sk_B_119, sk_Xf_28), 143.27/144.38 inference('cnf', [status(esa)], [zf_stmt_0])). 143.27/144.38 tff('1', plain, ~ in(sk_Xf_28, injFuncSet(sk_A_256, sk_B_119)), 143.27/144.38 inference('cnf', [status(esa)], [zf_stmt_0])). 143.27/144.38 tff(injFuncSet, axiom, 143.27/144.38 (![A,B]: 143.27/144.38 (injFuncSet(A,B) = dsetconstr(funcSet(A,B),^[Xf]: injective(A,B,Xf))))). 143.27/144.38 tff('2', plain, 143.27/144.38 ![X1100, X1101]: 143.27/144.38 injFuncSet(X1100, X1101) 143.27/144.38 = dsetconstr(funcSet(X1100, X1101), 143.27/144.38 (^[Y0 : $i]: injective(X1100, X1101, Y0))), 143.27/144.38 inference('cnf', [status(esa)], [injFuncSet])). 143.27/144.38 tff('3', plain, 143.27/144.38 ![X1100, X1101]: 143.27/144.38 injFuncSet(X1100, X1101) 143.27/144.38 = dsetconstr(funcSet(X1100, X1101), injective(X1100, X1101)), 143.27/144.38 inference('lambda-normalize', [status(thm)], ['2'])). 143.27/144.38 tff('4', plain, in(sk_Xf_28, funcSet(sk_A_256, sk_B_119)), 143.27/144.38 inference('cnf', [status(esa)], [zf_stmt_0])). 143.27/144.38 tff(dsetconstrI, axiom, 143.27/144.38 (dsetconstrI <=> 143.27/144.38 (![A,Xphi:($i > $o),Xx]: 143.27/144.38 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy)))))))). 143.27/144.38 tff('5', plain, 143.27/144.38 ![X75, X76, X77 : $i > $o]: 143.27/144.38 (~ in(X75, X76) 143.27/144.38 | in(X75, dsetconstr(X76, (^[Y0 : $i]: X77(Y0)))) 143.27/144.38 | ~ X77(X75) 143.27/144.38 | ~ dsetconstrI), 143.27/144.38 inference('cnf', [status(esa)], [dsetconstrI])). 143.27/144.38 tff('6', plain, 143.27/144.38 ![X75, X76, X77 : $i > $o]: 143.27/144.38 (~ in(X75, X76) 143.27/144.38 | in(X75, dsetconstr(X76, X77)) 143.27/144.38 | ~ X77(X75) 143.27/144.38 | ~ dsetconstrI), 143.27/144.38 inference('lambda-normalize', [status(thm)], ['5'])). 143.27/144.38 tff('7', plain, dsetconstrI, inference('cnf', [status(esa)], [zf_stmt_0])). 143.27/144.38 tff('8', plain, 143.27/144.38 ![X75, X76, X77 : $i > $o]: 143.27/144.38 (~ in(X75, X76) | in(X75, dsetconstr(X76, X77)) | ~ X77(X75)), 143.27/144.38 inference('demod', [status(thm)], ['6', '7'])). 143.27/144.38 tff('9', plain, $false, 143.27/144.38 inference('eprover', [status(thm)], ['0', '1', '3', '4', '8'])). 143.27/144.38 143.27/144.38 % SZS output end Refutation 143.27/144.38 % Zipperpin 1.5 exiting 143.27/144.38 EOF