0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.hVjqTJiL81 0.13/0.34 % Computer : n013.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 180 0.13/0.34 % DateTime : Thu Aug 29 16:37:46 EDT 2019 0.13/0.34 % CPUTime : 158.66/159.80 % Running portfolio for 180 s 158.66/159.80 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 158.66/159.80 % TempDir : /export/starexec/sandbox/tmp/tmp.hVjqTJiL81 158.66/159.80 % Recognized as monomorphic HO. 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/competitive.sh for 18 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.1.sh for 12 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.2.sh for 7 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.sh for 3 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.1.sh for 14 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.shallow.2.sh for 12 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.ll.e.sh for 19 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.sh for 13 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.bools.1.sh for 10 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.e.sh for 8 158.66/159.80 % Running /export/starexec/sandbox/solver/bin/competitive.strong.sh for 19 158.66/159.80 % Solved by: competitive.strong.sh 158.66/159.80 % Running : timeout 12 /export/starexec/sandbox/solver/bin/eprover-ho /export/starexec/sandbox/tmp/tmp.hVjqTJiL81/e_input777b6f --cpu-limit=10 --auto-schedule -s -p. 158.66/159.80 % done 999 iterations in 10.769s 158.66/159.80 % hashcons stats for terms: size 9223, num 38180, sum length 63616, buckets: small 0, median 7, big 22 158.66/159.80 % proof state stats: {active 425, passive 3838, simpl 0} 158.66/159.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 158.66/159.80 % SZS output start Refutation 158.66/159.80 tff(breln1unionprop, conjecture, 158.66/159.80 (setextAx => 158.66/159.80 (emptysetAx => 158.66/159.80 (setadjoinAx => 158.66/159.80 (powersetAx => 158.66/159.80 (setunionAx => 158.66/159.80 (omega0Ax => 158.66/159.80 (omegaSAx => 158.66/159.80 (omegaIndAx => 158.66/159.80 (replAx => 158.66/159.80 (foundationAx => 158.66/159.80 (wellorderingAx => 158.66/159.80 (descrp => 158.66/159.80 (dsetconstrI => 158.66/159.80 (dsetconstrEL => 158.66/159.80 (dsetconstrER => 158.66/159.80 (exuE1 => 158.66/159.80 (prop2setE => 158.66/159.80 (emptysetE => 158.66/159.80 (emptysetimpfalse => 158.66/159.80 (notinemptyset => 158.66/159.80 (exuE3e => 158.66/159.80 (setext => 158.66/159.80 (emptyI => 158.66/159.80 (noeltsimpempty => 158.66/159.80 (setbeta => 158.66/159.80 (nonemptyE1 => 158.66/159.80 (nonemptyI => 158.66/159.80 (nonemptyI1 => 158.66/159.80 (setadjoinIL => 158.66/159.80 (emptyinunitempty => 158.66/159.80 (setadjoinIR => 158.66/159.80 (setadjoinE => 158.66/159.80 (setadjoinOr => 158.66/159.80 (setoftrueEq => 158.66/159.80 (powersetI => 158.66/159.80 (emptyinPowerset => 158.66/159.80 (emptyInPowerset => 158.66/159.80 (powersetE => 158.66/159.80 (setunionI => 158.66/159.80 (setunionE => 158.66/159.80 (subPowSU => 158.66/159.80 (exuE2 => 158.66/159.80 (nonemptyImpWitness => 158.66/159.80 (uniqinunit => 158.66/159.80 (notinsingleton => 158.66/159.80 (eqinunit => 158.66/159.80 (singletonsswitch => 158.66/159.80 (upairsetE => 158.66/159.80 (upairsetIL => 158.66/159.80 (upairsetIR => 158.66/159.80 (emptyE1 => 158.66/159.80 (vacuousDall => 158.66/159.80 (quantDeMorgan1 => 158.66/159.80 (quantDeMorgan2 => 158.66/159.80 (quantDeMorgan3 => 158.66/159.80 (quantDeMorgan4 => 158.66/159.80 (prop2setI => 158.66/159.80 (prop2set2propI => 158.66/159.80 (notdexE => 158.66/159.80 (notdallE => 158.66/159.80 (exuI1 => 158.66/159.80 (exuI3 => 158.66/159.80 (exuI2 => 158.66/159.80 (inCongP => 158.66/159.80 (in__Cong => 158.66/159.80 (exuE3u => 158.66/159.80 ( 158.66/159.80 exu__Cong => 158.66/159.80 ( 158.66/159.80 emptyset__Cong => 158.66/159.80 ( 158.66/159.80 setadjoin__Cong => 158.66/159.80 ( 158.66/159.80 powerset__Cong => 158.66/159.80 ( 158.66/159.80 setunion__Cong => 158.66/159.80 ( 158.66/159.80 omega__Cong => 158.66/159.80 ( 158.66/159.80 exuEu => 158.66/159.80 ( 158.66/159.80 descr__Cong => 158.66/159.80 ( 158.66/159.80 dsetconstr__Cong => 158.66/159.80 ( 158.66/159.80 subsetI1 => 158.66/159.80 ( 158.66/159.80 eqimpsubset2 => 158.66/159.80 ( 158.66/159.80 eqimpsubset1 => 158.66/159.80 ( 158.66/159.80 subsetI2 => 158.66/159.80 ( 158.66/159.80 emptysetsubset => 158.66/159.80 ( 158.66/159.80 subsetE => 158.66/159.80 ( 158.66/159.80 subsetE2 => 158.66/159.80 ( 158.66/159.80 notsubsetI => 158.66/159.80 ( 158.66/159.80 notequalI1 => 158.66/159.80 ( 158.66/159.80 notequalI2 => 158.66/159.80 ( 158.66/159.80 subsetRefl => 158.66/159.80 ( 158.66/159.80 subsetTrans => 158.66/159.80 ( 158.66/159.80 setadjoinSub => 158.66/159.80 ( 158.66/159.80 setadjoinSub2 => 158.66/159.80 ( 158.66/159.80 subset2powerset => 158.66/159.80 ( 158.66/159.80 setextsub => 158.66/159.80 ( 158.66/159.80 subsetemptysetimpeq => 158.66/159.80 ( 158.66/159.80 powersetI1 => 158.66/159.80 ( 158.66/159.80 powersetE1 => 158.66/159.80 ( 158.66/159.80 inPowerset => 158.66/159.80 ( 158.66/159.80 powersetsubset => 158.66/159.80 ( 158.66/159.80 sepInPowerset => 158.66/159.80 ( 158.66/159.80 sepSubset => 158.66/159.80 ( 158.66/159.80 binunionIL => 158.66/159.80 ( 158.66/159.80 upairset2IR => 158.66/159.80 ( 158.66/159.80 binunionIR => 158.66/159.80 ( 158.66/159.80 binunionEcases => 158.66/159.80 ( 158.66/159.80 binunionE => 158.66/159.80 ( 158.66/159.80 binunionLsub => 158.66/159.80 ( 158.66/159.80 binunionRsub => 158.66/159.80 ( 158.66/159.80 binintersectI => 158.66/159.80 ( 158.66/159.80 binintersectSubset5 => 158.66/159.80 ( 158.66/159.80 binintersectEL => 158.66/159.80 ( 158.66/159.80 binintersectLsub => 158.66/159.80 ( 158.66/159.80 binintersectSubset2 => 158.66/159.80 ( 158.66/159.80 binintersectSubset3 => 158.66/159.80 ( 158.66/159.80 binintersectER => 158.66/159.80 ( 158.66/159.80 disjointsetsI1 => 158.66/159.80 ( 158.66/159.80 binintersectRsub => 158.66/159.80 ( 158.66/159.80 binintersectSubset4 => 158.66/159.80 ( 158.66/159.80 binintersectSubset1 => 158.66/159.80 ( 158.66/159.80 bs114d => 158.66/159.80 ( 158.66/159.80 setminusI => 158.66/159.80 ( 158.66/159.80 setminusEL => 158.66/159.80 ( 158.66/159.80 setminusER => 158.66/159.80 ( 158.66/159.80 setminusSubset2 => 158.66/159.80 ( 158.66/159.80 setminusERneg => 158.66/159.80 ( 158.66/159.80 setminusELneg => 158.66/159.80 ( 158.66/159.80 setminusILneg => 158.66/159.80 ( 158.66/159.80 setminusIRneg => 158.66/159.80 ( 158.66/159.80 setminusLsub => 158.66/159.80 ( 158.66/159.80 setminusSubset1 => 158.66/159.80 ( 158.66/159.80 symdiffE => 158.66/159.80 ( 158.66/159.80 symdiffI1 => 158.66/159.80 ( 158.66/159.80 symdiffI2 => 158.66/159.80 ( 158.66/159.80 symdiffIneg1 => 158.66/159.80 ( 158.66/159.80 symdiffIneg2 => 158.66/159.80 ( 158.66/159.80 secondinupair => 158.66/159.80 ( 158.66/159.80 setukpairIL => 158.66/159.80 ( 158.66/159.80 setukpairIR => 158.66/159.80 ( 158.66/159.80 kpairiskpair => 158.66/159.80 ( 158.66/159.80 kpairp => 158.66/159.80 ( 158.66/159.80 singletonsubset => 158.66/159.80 ( 158.66/159.80 singletoninpowerset => 158.66/159.80 ( 158.66/159.80 singletoninpowunion => 158.66/159.80 ( 158.66/159.80 upairset2E => 158.66/159.80 ( 158.66/159.80 upairsubunion => 158.66/159.80 ( 158.66/159.80 upairinpowunion => 158.66/159.80 ( 158.66/159.80 ubforcartprodlem1 => 158.66/159.80 ( 158.66/159.80 ubforcartprodlem2 => 158.66/159.80 ( 158.66/159.80 ubforcartprodlem3 => 158.66/159.80 ( 158.66/159.80 cartprodpairin => 158.66/159.80 ( 158.66/159.80 cartprodmempair1 => 158.66/159.80 ( 158.66/159.80 cartprodmempair => 158.66/159.80 ( 158.66/159.80 setunionE2 => 158.66/159.80 ( 158.66/159.80 setunionsingleton1 => 158.66/159.80 ( 158.66/159.80 setunionsingleton2 => 158.66/159.80 ( 158.66/159.80 setunionsingleton => 158.66/159.80 ( 158.66/159.80 singletonprop => 158.66/159.80 ( 158.66/159.80 ex1E1 => 158.66/159.80 ( 158.66/159.80 ex1I => 158.66/159.80 ( 158.66/159.80 ex1I2 => 158.66/159.80 ( 158.66/159.80 singletonsuniq => 158.66/159.80 ( 158.66/159.80 setukpairinjL1 => 158.66/159.80 ( 158.66/159.80 kfstsingleton => 158.66/159.80 ( 158.66/159.80 theprop => 158.66/159.80 ( 158.66/159.80 kfstpairEq => 158.66/159.80 ( 158.66/159.80 cartprodfstin => 158.66/159.80 ( 158.66/159.80 setukpairinjL2 => 158.66/159.80 ( 158.66/159.80 setukpairinjL => 158.66/159.80 ( 158.66/159.80 setukpairinjR11 => 158.66/159.80 ( 158.66/159.80 setukpairinjR12 => 158.66/159.80 ( 158.66/159.80 setukpairinjR1 => 158.66/159.80 ( 158.66/159.80 upairequniteq => 158.66/159.80 ( 158.66/159.80 setukpairinjR2 => 158.66/159.80 ( 158.66/159.80 setukpairinjR => 158.66/159.80 ( 158.66/159.80 ksndsingleton => 158.66/159.80 ( 158.66/159.80 ksndpairEq => 158.66/159.80 ( 158.66/159.80 kpairsurjEq => 158.66/159.80 ( 158.66/159.80 cartprodsndin => 158.66/159.80 ( 158.66/159.80 cartprodpairmemEL => 158.66/159.80 ( 158.66/159.80 cartprodpairmemER => 158.66/159.80 ( 158.66/159.80 cartprodmempaircEq => 158.66/159.80 ( 158.66/159.80 cartprodfstpairEq => 158.66/159.80 ( 158.66/159.80 cartprodsndpairEq => 158.66/159.80 ( 158.66/159.80 cartprodpairsurjEq => 158.66/159.80 ( 158.66/159.80 dpsetconstrI => 158.66/159.80 ( 158.66/159.80 dpsetconstrSub => 158.66/159.80 ( 158.66/159.80 setOfPairsIsBReln => 158.66/159.80 ( 158.66/159.80 dpsetconstrERa => 158.66/159.80 ( 158.66/159.80 dpsetconstrEL1 => 158.66/159.80 ( 158.66/159.80 dpsetconstrEL2 => 158.66/159.80 ( 158.66/159.80 dpsetconstrER => 158.66/159.80 ( 158.66/159.80 funcImageSingleton => 158.66/159.80 ( 158.66/159.80 apProp => 158.66/159.80 ( 158.66/159.80 app => 158.66/159.80 ( 158.66/159.80 infuncsetfunc => 158.66/159.80 ( 158.66/159.80 ap2p => 158.66/159.80 ( 158.66/159.80 funcinfuncset => 158.66/159.80 ( 158.66/159.80 lamProp => 158.66/159.80 ( 158.66/159.80 lamp => 158.66/159.80 ( 158.66/159.80 lam2p => 158.66/159.80 ( 158.66/159.80 brelnall1 => 158.66/159.80 ( 158.66/159.80 brelnall2 => 158.66/159.80 ( 158.66/159.80 ex1E2 => 158.66/159.80 ( 158.66/159.80 funcGraphProp1 => 158.66/159.80 ( 158.66/159.80 funcGraphProp3 => 158.66/159.80 ( 158.66/159.80 funcGraphProp2 => 158.66/159.80 ( 158.66/159.80 funcextLem => 158.66/159.80 ( 158.66/159.80 funcGraphProp4 => 158.66/159.80 ( 158.66/159.80 subbreln => 158.66/159.80 ( 158.66/159.80 eqbreln => 158.66/159.80 ( 158.66/159.80 funcext => 158.66/159.80 ( 158.66/159.80 funcext2 => 158.66/159.80 ( 158.66/159.80 ap2apEq1 => 158.66/159.80 ( 158.66/159.80 ap2apEq2 => 158.66/159.80 ( 158.66/159.80 beta1 => 158.66/159.80 ( 158.66/159.80 eta1 => 158.66/159.80 ( 158.66/159.80 lam2lamEq => 158.66/159.80 ( 158.66/159.80 beta2 => 158.66/159.80 ( 158.66/159.80 eta2 => 158.66/159.80 ( 158.66/159.80 iffalseProp1 => 158.66/159.80 ( 158.66/159.80 iffalseProp2 => 158.66/159.80 ( 158.66/159.80 iftrueProp1 => 158.66/159.80 ( 158.66/159.80 iftrueProp2 => 158.66/159.80 ( 158.66/159.80 ifSingleton => 158.66/159.80 ( 158.66/159.80 ifp => 158.66/159.80 ( 158.66/159.80 theeq => 158.66/159.80 ( 158.66/159.80 iftrue => 158.66/159.80 ( 158.66/159.80 iffalse => 158.66/159.80 ( 158.66/159.80 iftrueorfalse => 158.66/159.80 ( 158.66/159.80 binintersectT_lem => 158.66/159.80 ( 158.66/159.80 binunionT_lem => 158.66/159.80 ( 158.66/159.80 powersetT_lem => 158.66/159.80 ( 158.66/159.80 setminusT_lem => 158.66/159.80 ( 158.66/159.80 complementT_lem => 158.66/159.80 ( 158.66/159.80 setextT => 158.66/159.80 ( 158.66/159.80 subsetTI => 158.66/159.80 ( 158.66/159.80 powersetTI1 => 158.66/159.80 ( 158.66/159.80 powersetTE1 => 158.66/159.80 ( 158.66/159.80 complementTI1 => 158.66/159.80 ( 158.66/159.80 complementTE1 => 158.66/159.80 ( 158.66/159.80 binintersectTELcontra => 158.66/159.80 ( 158.66/159.80 binintersectTERcontra => 158.66/159.80 ( 158.66/159.80 contrasubsetT => 158.66/159.80 ( 158.66/159.80 contrasubsetT1 => 158.66/159.80 ( 158.66/159.80 contrasubsetT2 => 158.66/159.80 ( 158.66/159.80 contrasubsetT3 => 158.66/159.80 ( 158.66/159.80 doubleComplementI1 => 158.66/159.80 ( 158.66/159.80 doubleComplementE1 => 158.66/159.80 ( 158.66/159.80 doubleComplementSub1 => 158.66/159.80 ( 158.66/159.80 doubleComplementSub2 => 158.66/159.80 ( 158.66/159.80 doubleComplementEq => 158.66/159.80 ( 158.66/159.80 complementTnotintersectT => 158.66/159.80 ( 158.66/159.80 complementImpComplementIntersect => 158.66/159.80 ( 158.66/159.80 complementSubsetComplementIntersect => 158.66/159.80 ( 158.66/159.80 complementInPowersetComplementIntersect => 158.66/159.80 ( 158.66/159.80 contraSubsetComplement => 158.66/159.80 ( 158.66/159.80 complementTcontraSubset => 158.66/159.80 ( 158.66/159.80 binunionTILcontra => 158.66/159.80 ( 158.66/159.80 binunionTIRcontra => 158.66/159.80 ( 158.66/159.80 inIntersectImpInUnion => 158.66/159.80 ( 158.66/159.80 inIntersectImpInUnion2 => 158.66/159.80 ( 158.66/159.80 inIntersectImpInIntersectUnions => 158.66/159.80 ( 158.66/159.80 intersectInPowersetIntersectUnions => 158.66/159.80 ( 158.66/159.80 inComplementUnionImpNotIn1 => 158.66/159.80 ( 158.66/159.80 inComplementUnionImpInComplement1 => 158.66/159.80 ( 158.66/159.80 binunionTE => 158.66/159.80 ( 158.66/159.80 binunionTEcontra => 158.66/159.80 ( 158.66/159.80 demorgan2a1 => 158.66/159.80 ( 158.66/159.80 complementUnionInPowersetComplement => 158.66/159.80 ( 158.66/159.80 demorgan2a2 => 158.66/159.80 ( 158.66/159.80 demorgan1a => 158.66/159.80 ( 158.66/159.80 demorgan1b => 158.66/159.80 ( 158.66/159.80 demorgan1 => 158.66/159.80 ( 158.66/159.80 demorgan2a => 158.66/159.80 ( 158.66/159.80 demorgan2b2 => 158.66/159.80 ( 158.66/159.80 demorgan2b => 158.66/159.80 ( 158.66/159.80 demorgan2 => 158.66/159.80 ( 158.66/159.80 woz13rule0 => 158.66/159.80 ( 158.66/159.80 woz13rule1 => 158.66/159.80 ( 158.66/159.80 woz13rule2 => 158.66/159.80 ( 158.66/159.80 woz13rule3 => 158.66/159.80 ( 158.66/159.80 woz13rule4 => 158.66/159.80 ( 158.66/159.80 woz1_1 => 158.66/159.80 ( 158.66/159.80 woz1_2 => 158.66/159.80 ( 158.66/159.80 woz1_3 => 158.66/159.80 ( 158.66/159.80 woz1_4 => 158.66/159.80 ( 158.66/159.80 woz1_5 => 158.66/159.80 ( 158.66/159.80 breln1all2 => 158.66/159.80 ( 158.66/159.80 breln1SetBreln1 => 158.66/159.80 ( 158.66/159.80 choice2fnsingleton => 158.66/159.80 ( 158.66/159.80 setOfPairsIsBReln1 => 158.66/159.80 ( 158.66/159.80 breln1all1 => 158.66/159.80 ( 158.66/159.80 subbreln1 => 158.66/159.80 ( 158.66/159.80 eqbreln1 => 158.66/159.80 ( 158.66/159.80 breln1invprop => 158.66/159.80 ( 158.66/159.80 breln1invI => 158.66/159.80 ( 158.66/159.80 breln1invE => 158.66/159.80 ( 158.66/159.80 breln1compprop => 158.66/159.80 ( 158.66/159.80 breln1compI => 158.66/159.80 ( 158.66/159.80 breln1compE => 158.66/159.80 ( 158.66/159.80 breln1compEex => 158.66/159.80 ( 158.66/159.80 ![A,R]: 158.66/159.80 (breln1( 158.66/159.80 A,R) => 158.66/159.80 (![S]: 158.66/159.80 (breln1( 158.66/159.80 A,S) => 158.66/159.80 breln1( 158.66/159.80 A, 158.66/159.80 binunion( 158.66/159.80 R,S))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 158.66/159.80 tff(zf_stmt_0, negated_conjecture, 158.66/159.80 (~ 158.66/159.80 (setextAx => 158.66/159.80 (emptysetAx => 158.66/159.80 (setadjoinAx => 158.66/159.80 (powersetAx => 158.66/159.80 (setunionAx => 158.66/159.80 (omega0Ax => 158.66/159.80 (omegaSAx => 158.66/159.80 (omegaIndAx => 158.66/159.80 (replAx => 158.66/159.80 (foundationAx => 158.66/159.80 (wellorderingAx => 158.66/159.80 (descrp => 158.66/159.80 (dsetconstrI => 158.66/159.80 (dsetconstrEL => 158.66/159.80 (dsetconstrER => 158.66/159.80 (exuE1 => 158.66/159.80 (prop2setE => 158.66/159.80 (emptysetE => 158.66/159.80 (emptysetimpfalse => 158.66/159.80 (notinemptyset => 158.66/159.80 (exuE3e => 158.66/159.80 (setext => 158.66/159.80 (emptyI => 158.66/159.80 (noeltsimpempty => 158.66/159.80 (setbeta => 158.66/159.80 (nonemptyE1 => 158.66/159.80 (nonemptyI => 158.66/159.80 (nonemptyI1 => 158.66/159.80 (setadjoinIL => 158.66/159.80 (emptyinunitempty => 158.66/159.80 (setadjoinIR => 158.66/159.80 (setadjoinE => 158.66/159.80 (setadjoinOr => 158.66/159.80 (setoftrueEq => 158.66/159.80 (powersetI => 158.66/159.80 (emptyinPowerset => 158.66/159.80 (emptyInPowerset => 158.66/159.80 (powersetE => 158.66/159.80 (setunionI => 158.66/159.80 (setunionE => 158.66/159.80 (subPowSU => 158.66/159.80 (exuE2 => 158.66/159.80 (nonemptyImpWitness => 158.66/159.80 (uniqinunit => 158.66/159.80 (notinsingleton => 158.66/159.80 (eqinunit => 158.66/159.80 (singletonsswitch => 158.66/159.80 (upairsetE => 158.66/159.80 (upairsetIL => 158.66/159.80 (upairsetIR => 158.66/159.80 (emptyE1 => 158.66/159.80 (vacuousDall => 158.66/159.80 (quantDeMorgan1 => 158.66/159.80 (quantDeMorgan2 => 158.66/159.80 (quantDeMorgan3 => 158.66/159.80 (quantDeMorgan4 => 158.66/159.80 (prop2setI => 158.66/159.80 (prop2set2propI => 158.66/159.80 (notdexE => 158.66/159.80 (notdallE => 158.66/159.80 (exuI1 => 158.66/159.80 (exuI3 => 158.66/159.80 (exuI2 => 158.66/159.80 (inCongP => 158.66/159.80 ( 158.66/159.80 in__Cong => 158.66/159.80 ( 158.66/159.80 exuE3u => 158.66/159.80 ( 158.66/159.80 exu__Cong => 158.66/159.80 ( 158.66/159.80 emptyset__Cong => 158.66/159.80 ( 158.66/159.80 setadjoin__Cong => 158.66/159.80 ( 158.66/159.80 powerset__Cong => 158.66/159.80 ( 158.66/159.80 setunion__Cong => 158.66/159.80 ( 158.66/159.80 omega__Cong => 158.66/159.80 ( 158.66/159.80 exuEu => 158.66/159.80 ( 158.66/159.80 descr__Cong => 158.66/159.80 ( 158.66/159.80 dsetconstr__Cong => 158.66/159.80 ( 158.66/159.80 subsetI1 => 158.66/159.80 ( 158.66/159.80 eqimpsubset2 => 158.66/159.80 ( 158.66/159.80 eqimpsubset1 => 158.66/159.80 ( 158.66/159.80 subsetI2 => 158.66/159.80 ( 158.66/159.80 emptysetsubset => 158.66/159.80 ( 158.66/159.80 subsetE => 158.66/159.80 ( 158.66/159.80 subsetE2 => 158.66/159.80 ( 158.66/159.80 notsubsetI => 158.66/159.80 ( 158.66/159.80 notequalI1 => 158.66/159.80 ( 158.66/159.80 notequalI2 => 158.66/159.80 ( 158.66/159.80 subsetRefl => 158.66/159.80 ( 158.66/159.80 subsetTrans => 158.66/159.80 ( 158.66/159.80 setadjoinSub => 158.66/159.80 ( 158.66/159.80 setadjoinSub2 => 158.66/159.80 ( 158.66/159.80 subset2powerset => 158.66/159.80 ( 158.66/159.80 setextsub => 158.66/159.80 ( 158.66/159.80 subsetemptysetimpeq => 158.66/159.80 ( 158.66/159.80 powersetI1 => 158.66/159.80 ( 158.66/159.80 powersetE1 => 158.66/159.80 ( 158.66/159.80 inPowerset => 158.66/159.80 ( 158.66/159.80 powersetsubset => 158.66/159.80 ( 158.66/159.80 sepInPowerset => 158.66/159.80 ( 158.66/159.80 sepSubset => 158.66/159.80 ( 158.66/159.80 binunionIL => 158.66/159.80 ( 158.66/159.80 upairset2IR => 158.66/159.80 ( 158.66/159.80 binunionIR => 158.66/159.80 ( 158.66/159.80 binunionEcases => 158.66/159.80 ( 158.66/159.80 binunionE => 158.66/159.80 ( 158.66/159.80 binunionLsub => 158.66/159.80 ( 158.66/159.80 binunionRsub => 158.66/159.80 ( 158.66/159.80 binintersectI => 158.66/159.80 ( 158.66/159.80 binintersectSubset5 => 158.66/159.80 ( 158.66/159.80 binintersectEL => 158.66/159.80 ( 158.66/159.80 binintersectLsub => 158.66/159.80 ( 158.66/159.80 binintersectSubset2 => 158.66/159.80 ( 158.66/159.80 binintersectSubset3 => 158.66/159.80 ( 158.66/159.80 binintersectER => 158.66/159.80 ( 158.66/159.80 disjointsetsI1 => 158.66/159.80 ( 158.66/159.80 binintersectRsub => 158.66/159.80 ( 158.66/159.80 binintersectSubset4 => 158.66/159.80 ( 158.66/159.80 binintersectSubset1 => 158.66/159.80 ( 158.66/159.80 bs114d => 158.66/159.80 ( 158.66/159.80 setminusI => 158.66/159.80 ( 158.66/159.80 setminusEL => 158.66/159.80 ( 158.66/159.80 setminusER => 158.66/159.80 ( 158.66/159.80 setminusSubset2 => 158.66/159.80 ( 158.66/159.80 setminusERneg => 158.66/159.80 ( 158.66/159.80 setminusELneg => 158.66/159.80 ( 158.66/159.80 setminusILneg => 158.66/159.80 ( 158.66/159.80 setminusIRneg => 158.66/159.80 ( 158.66/159.80 setminusLsub => 158.66/159.80 ( 158.66/159.80 setminusSubset1 => 158.66/159.80 ( 158.66/159.80 symdiffE => 158.66/159.80 ( 158.66/159.80 symdiffI1 => 158.66/159.80 ( 158.66/159.80 symdiffI2 => 158.66/159.80 ( 158.66/159.80 symdiffIneg1 => 158.66/159.80 ( 158.66/159.80 symdiffIneg2 => 158.66/159.80 ( 158.66/159.80 secondinupair => 158.66/159.80 ( 158.66/159.80 setukpairIL => 158.66/159.80 ( 158.66/159.80 setukpairIR => 158.66/159.80 ( 158.66/159.80 kpairiskpair => 158.66/159.80 ( 158.66/159.80 kpairp => 158.66/159.80 ( 158.66/159.80 singletonsubset => 158.66/159.80 ( 158.66/159.80 singletoninpowerset => 158.66/159.80 ( 158.66/159.80 singletoninpowunion => 158.66/159.80 ( 158.66/159.80 upairset2E => 158.66/159.80 ( 158.66/159.80 upairsubunion => 158.66/159.80 ( 158.66/159.80 upairinpowunion => 158.66/159.80 ( 158.66/159.80 ubforcartprodlem1 => 158.66/159.80 ( 158.66/159.80 ubforcartprodlem2 => 158.66/159.80 ( 158.66/159.80 ubforcartprodlem3 => 158.66/159.80 ( 158.66/159.80 cartprodpairin => 158.66/159.80 ( 158.66/159.80 cartprodmempair1 => 158.66/159.80 ( 158.66/159.80 cartprodmempair => 158.66/159.80 ( 158.66/159.80 setunionE2 => 158.66/159.80 ( 158.66/159.80 setunionsingleton1 => 158.66/159.80 ( 158.66/159.80 setunionsingleton2 => 158.66/159.80 ( 158.66/159.80 setunionsingleton => 158.66/159.80 ( 158.66/159.80 singletonprop => 158.66/159.80 ( 158.66/159.80 ex1E1 => 158.66/159.80 ( 158.66/159.80 ex1I => 158.66/159.80 ( 158.66/159.80 ex1I2 => 158.66/159.80 ( 158.66/159.80 singletonsuniq => 158.66/159.80 ( 158.66/159.80 setukpairinjL1 => 158.66/159.80 ( 158.66/159.80 kfstsingleton => 158.66/159.80 ( 158.66/159.80 theprop => 158.66/159.80 ( 158.66/159.80 kfstpairEq => 158.66/159.80 ( 158.66/159.80 cartprodfstin => 158.66/159.80 ( 158.66/159.80 setukpairinjL2 => 158.66/159.80 ( 158.66/159.80 setukpairinjL => 158.66/159.80 ( 158.66/159.80 setukpairinjR11 => 158.66/159.80 ( 158.66/159.80 setukpairinjR12 => 158.66/159.80 ( 158.66/159.80 setukpairinjR1 => 158.66/159.80 ( 158.66/159.80 upairequniteq => 158.66/159.80 ( 158.66/159.80 setukpairinjR2 => 158.66/159.80 ( 158.66/159.80 setukpairinjR => 158.66/159.80 ( 158.66/159.80 ksndsingleton => 158.66/159.80 ( 158.66/159.80 ksndpairEq => 158.66/159.80 ( 158.66/159.80 kpairsurjEq => 158.66/159.80 ( 158.66/159.80 cartprodsndin => 158.66/159.80 ( 158.66/159.80 cartprodpairmemEL => 158.66/159.80 ( 158.66/159.80 cartprodpairmemER => 158.66/159.80 ( 158.66/159.80 cartprodmempaircEq => 158.66/159.80 ( 158.66/159.80 cartprodfstpairEq => 158.66/159.80 ( 158.66/159.80 cartprodsndpairEq => 158.66/159.80 ( 158.66/159.80 cartprodpairsurjEq => 158.66/159.80 ( 158.66/159.80 dpsetconstrI => 158.66/159.80 ( 158.66/159.80 dpsetconstrSub => 158.66/159.80 ( 158.66/159.80 setOfPairsIsBReln => 158.66/159.80 ( 158.66/159.80 dpsetconstrERa => 158.66/159.80 ( 158.66/159.80 dpsetconstrEL1 => 158.66/159.80 ( 158.66/159.80 dpsetconstrEL2 => 158.66/159.80 ( 158.66/159.80 dpsetconstrER => 158.66/159.80 ( 158.66/159.80 funcImageSingleton => 158.66/159.80 ( 158.66/159.80 apProp => 158.66/159.80 ( 158.66/159.80 app => 158.66/159.80 ( 158.66/159.80 infuncsetfunc => 158.66/159.80 ( 158.66/159.80 ap2p => 158.66/159.80 ( 158.66/159.80 funcinfuncset => 158.66/159.80 ( 158.66/159.80 lamProp => 158.66/159.80 ( 158.66/159.80 lamp => 158.66/159.80 ( 158.66/159.80 lam2p => 158.66/159.80 ( 158.66/159.80 brelnall1 => 158.66/159.80 ( 158.66/159.80 brelnall2 => 158.66/159.80 ( 158.66/159.80 ex1E2 => 158.66/159.80 ( 158.66/159.80 funcGraphProp1 => 158.66/159.80 ( 158.66/159.80 funcGraphProp3 => 158.66/159.80 ( 158.66/159.80 funcGraphProp2 => 158.66/159.80 ( 158.66/159.80 funcextLem => 158.66/159.80 ( 158.66/159.80 funcGraphProp4 => 158.66/159.80 ( 158.66/159.80 subbreln => 158.66/159.80 ( 158.66/159.80 eqbreln => 158.66/159.80 ( 158.66/159.80 funcext => 158.66/159.80 ( 158.66/159.80 funcext2 => 158.66/159.80 ( 158.66/159.80 ap2apEq1 => 158.66/159.80 ( 158.66/159.80 ap2apEq2 => 158.66/159.80 ( 158.66/159.80 beta1 => 158.66/159.80 ( 158.66/159.80 eta1 => 158.66/159.80 ( 158.66/159.80 lam2lamEq => 158.66/159.80 ( 158.66/159.80 beta2 => 158.66/159.80 ( 158.66/159.80 eta2 => 158.66/159.80 ( 158.66/159.80 iffalseProp1 => 158.66/159.80 ( 158.66/159.80 iffalseProp2 => 158.66/159.80 ( 158.66/159.80 iftrueProp1 => 158.66/159.80 ( 158.66/159.80 iftrueProp2 => 158.66/159.80 ( 158.66/159.80 ifSingleton => 158.66/159.80 ( 158.66/159.80 ifp => 158.66/159.80 ( 158.66/159.80 theeq => 158.66/159.80 ( 158.66/159.80 iftrue => 158.66/159.80 ( 158.66/159.80 iffalse => 158.66/159.80 ( 158.66/159.80 iftrueorfalse => 158.66/159.80 ( 158.66/159.80 binintersectT_lem => 158.66/159.80 ( 158.66/159.80 binunionT_lem => 158.66/159.80 ( 158.66/159.80 powersetT_lem => 158.66/159.80 ( 158.66/159.80 setminusT_lem => 158.66/159.80 ( 158.66/159.80 complementT_lem => 158.66/159.80 ( 158.66/159.80 setextT => 158.66/159.80 ( 158.66/159.80 subsetTI => 158.66/159.80 ( 158.66/159.80 powersetTI1 => 158.66/159.80 ( 158.66/159.80 powersetTE1 => 158.66/159.80 ( 158.66/159.80 complementTI1 => 158.66/159.80 ( 158.66/159.80 complementTE1 => 158.66/159.80 ( 158.66/159.80 binintersectTELcontra => 158.66/159.80 ( 158.66/159.80 binintersectTERcontra => 158.66/159.80 ( 158.66/159.80 contrasubsetT => 158.66/159.80 ( 158.66/159.80 contrasubsetT1 => 158.66/159.80 ( 158.66/159.80 contrasubsetT2 => 158.66/159.80 ( 158.66/159.80 contrasubsetT3 => 158.66/159.80 ( 158.66/159.80 doubleComplementI1 => 158.66/159.80 ( 158.66/159.80 doubleComplementE1 => 158.66/159.80 ( 158.66/159.80 doubleComplementSub1 => 158.66/159.80 ( 158.66/159.80 doubleComplementSub2 => 158.66/159.80 ( 158.66/159.80 doubleComplementEq => 158.66/159.80 ( 158.66/159.80 complementTnotintersectT => 158.66/159.80 ( 158.66/159.80 complementImpComplementIntersect => 158.66/159.80 ( 158.66/159.80 complementSubsetComplementIntersect => 158.66/159.80 ( 158.66/159.80 complementInPowersetComplementIntersect => 158.66/159.80 ( 158.66/159.80 contraSubsetComplement => 158.66/159.80 ( 158.66/159.80 complementTcontraSubset => 158.66/159.80 ( 158.66/159.80 binunionTILcontra => 158.66/159.80 ( 158.66/159.80 binunionTIRcontra => 158.66/159.80 ( 158.66/159.80 inIntersectImpInUnion => 158.66/159.80 ( 158.66/159.80 inIntersectImpInUnion2 => 158.66/159.80 ( 158.66/159.80 inIntersectImpInIntersectUnions => 158.66/159.80 ( 158.66/159.80 intersectInPowersetIntersectUnions => 158.66/159.80 ( 158.66/159.80 inComplementUnionImpNotIn1 => 158.66/159.80 ( 158.66/159.80 inComplementUnionImpInComplement1 => 158.66/159.80 ( 158.66/159.80 binunionTE => 158.66/159.80 ( 158.66/159.80 binunionTEcontra => 158.66/159.80 ( 158.66/159.80 demorgan2a1 => 158.66/159.80 ( 158.66/159.80 complementUnionInPowersetComplement => 158.66/159.80 ( 158.66/159.80 demorgan2a2 => 158.66/159.80 ( 158.66/159.80 demorgan1a => 158.66/159.80 ( 158.66/159.80 demorgan1b => 158.66/159.80 ( 158.66/159.80 demorgan1 => 158.66/159.80 ( 158.66/159.80 demorgan2a => 158.66/159.80 ( 158.66/159.80 demorgan2b2 => 158.66/159.80 ( 158.66/159.80 demorgan2b => 158.66/159.80 ( 158.66/159.80 demorgan2 => 158.66/159.80 ( 158.66/159.80 woz13rule0 => 158.66/159.80 ( 158.66/159.80 woz13rule1 => 158.66/159.80 ( 158.66/159.80 woz13rule2 => 158.66/159.80 ( 158.66/159.80 woz13rule3 => 158.66/159.80 ( 158.66/159.80 woz13rule4 => 158.66/159.80 ( 158.66/159.80 woz1_1 => 158.66/159.80 ( 158.66/159.80 woz1_2 => 158.66/159.80 ( 158.66/159.80 woz1_3 => 158.66/159.80 ( 158.66/159.80 woz1_4 => 158.66/159.80 ( 158.66/159.80 woz1_5 => 158.66/159.80 ( 158.66/159.80 breln1all2 => 158.66/159.80 ( 158.66/159.80 breln1SetBreln1 => 158.66/159.80 ( 158.66/159.80 choice2fnsingleton => 158.66/159.80 ( 158.66/159.80 setOfPairsIsBReln1 => 158.66/159.80 ( 158.66/159.80 breln1all1 => 158.66/159.80 ( 158.66/159.80 subbreln1 => 158.66/159.80 ( 158.66/159.80 eqbreln1 => 158.66/159.80 ( 158.66/159.80 breln1invprop => 158.66/159.80 ( 158.66/159.80 breln1invI => 158.66/159.80 ( 158.66/159.80 breln1invE => 158.66/159.80 ( 158.66/159.80 breln1compprop => 158.66/159.80 ( 158.66/159.80 breln1compI => 158.66/159.80 ( 158.66/159.80 breln1compE => 158.66/159.80 ( 158.66/159.80 breln1compEex => 158.66/159.80 ( 158.66/159.80 ![A,R]: 158.66/159.80 (breln1( 158.66/159.80 A,R) => 158.66/159.80 (![S]: 158.66/159.80 (breln1( 158.66/159.80 A,S) => 158.66/159.80 breln1( 158.66/159.80 A, 158.66/159.80 binunion( 158.66/159.80 R,S)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 158.66/159.80 tff('0', plain, breln1(sk_A_240, sk_R_17), 158.66/159.80 inference('cnf', [status(esa)], [zf_stmt_0])). 158.66/159.80 tff(breln1, axiom, (breln1 = (^[A,R]: breln(A,A,R)))). 158.66/159.80 tff(zf_stmt_1, axiom, (breln1 = (^[Y0 : $i,Y1 : $i]: breln(Y0, Y0, Y1)))). 158.66/159.80 tff('1', plain, breln1 = (^[V_1,V_2]: subset(V_2,cartprod(V_1,V_1))), 158.66/159.80 define([status(thm)])). 158.66/159.80 tff('2', plain, subset(sk_R_17, cartprod(sk_A_240, sk_A_240)), 158.66/159.80 inference('rw', [status(thm)], ['0', '1'])). 158.66/159.80 tff('3', plain, breln1(sk_A_240, sk_S_8), 158.66/159.80 inference('cnf', [status(esa)], [zf_stmt_0])). 158.66/159.80 tff('4', plain, subset(sk_S_8, cartprod(sk_A_240, sk_A_240)), 158.66/159.80 inference('rw', [status(thm)], ['3', '1'])). 158.66/159.80 tff('5', plain, subset2powerset, inference('cnf', [status(esa)], [zf_stmt_0])). 158.66/159.80 tff('6', plain, binunionT_lem, inference('cnf', [status(esa)], [zf_stmt_0])). 158.66/159.80 tff(subset2powerset, axiom, 158.66/159.80 (subset2powerset <=> (![A,B]: (subset(A,B) => in(A,powerset(B)))))). 158.66/159.80 tff('7', plain, 158.66/159.80 ![X280, X281]: 158.66/159.80 (~ subset(X280, X281) | in(X280, powerset(X281)) | ~ subset2powerset), 158.66/159.80 inference('cnf', [status(esa)], [subset2powerset])). 158.66/159.80 tff(binunionT_lem, axiom, 158.66/159.80 (binunionT_lem <=> 158.66/159.80 (![A,X]: 158.66/159.80 (in(X,powerset(A)) => 158.66/159.80 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A)))))))). 158.66/159.80 tff('8', plain, 158.66/159.80 ![X745, X746, X747]: 158.66/159.80 (~ in(X745, powerset(X746)) 158.66/159.80 | in(binunion(X745, X747), powerset(X746)) 158.66/159.80 | ~ in(X747, powerset(X746)) 158.66/159.80 | ~ binunionT_lem), 158.66/159.80 inference('cnf', [status(esa)], [binunionT_lem])). 158.66/159.80 tff(powersetE1, axiom, 158.66/159.80 (powersetE1 <=> (![A,B]: (in(B,powerset(A)) => subset(B,A))))). 158.66/159.80 tff('9', plain, 158.66/159.80 ![X287, X288]: 158.66/159.80 (~ in(X287, powerset(X288)) | subset(X287, X288) | ~ powersetE1), 158.66/159.80 inference('cnf', [status(esa)], [powersetE1])). 158.66/159.80 tff('10', plain, powersetE1, inference('cnf', [status(esa)], [zf_stmt_0])). 158.66/159.80 tff('11', plain, 158.66/159.80 ![X287, X288]: (~ in(X287, powerset(X288)) | subset(X287, X288)), 158.66/159.80 inference('demod', [status(thm)], ['9', '10'])). 158.66/159.80 tff('12', plain, ~ breln1(sk_A_240, binunion(sk_R_17, sk_S_8)), 158.66/159.80 inference('cnf', [status(esa)], [zf_stmt_0])). 158.66/159.80 tff('13', plain, 158.66/159.80 ~ subset(binunion(sk_R_17, sk_S_8), cartprod(sk_A_240, sk_A_240)), 158.66/159.80 inference('rw', [status(thm)], ['12', '1'])). 158.66/159.80 tff('14', plain, $false, 158.66/159.80 inference('eprover', [status(thm)], 158.66/159.80 ['2', '4', '5', '6', '7', '8', '11', '13'])). 158.66/159.80 158.66/159.80 % SZS output end Refutation 158.66/159.80 % Zipperpin 1.5 exiting 158.66/159.81 EOF