0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.33 % Computer : n031.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Fri Sep 5 21:57:22 EDT 2025 0.11/0.33 % CPUTime : 0.47/0.63 %----Proving TH0 0.47/0.84 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 0.47/0.84 % SZS status Theorem 0.47/0.84 % SZS output start Proof 0.47/0.84 ( 0.47/0.84 (declare-type $$unsorted ()) 0.47/0.84 (declare-const tptp.emptyset $$unsorted) 0.47/0.84 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) 0.47/0.84 (declare-const tptp.singleton (-> $$unsorted Bool)) 0.47/0.84 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) 0.47/0.84 (declare-const tptp.woz1_1 Bool) 0.47/0.84 (declare-const tptp.woz13rule4 Bool) 0.47/0.84 (declare-const tptp.woz13rule3 Bool) 0.47/0.84 (declare-const tptp.woz13rule1 Bool) 0.47/0.84 (declare-const tptp.woz13rule0 Bool) 0.47/0.84 (declare-const tptp.demorgan2 Bool) 0.47/0.84 (declare-const tptp.demorgan2b Bool) 0.47/0.84 (declare-const tptp.demorgan1 Bool) 0.47/0.84 (declare-const tptp.demorgan1a Bool) 0.47/0.84 (declare-const tptp.complementUnionInPowersetComplement Bool) 0.47/0.84 (declare-const tptp.demorgan2a1 Bool) 0.47/0.84 (declare-const tptp.binunionTILcontra Bool) 0.47/0.84 (declare-const tptp.complementTcontraSubset Bool) 0.47/0.84 (declare-const tptp.contraSubsetComplement Bool) 0.47/0.84 (declare-const tptp.complementImpComplementIntersect Bool) 0.47/0.84 (declare-const tptp.complementTnotintersectT Bool) 0.47/0.84 (declare-const tptp.doubleComplementSub2 Bool) 0.47/0.84 (declare-const tptp.doubleComplementSub1 Bool) 0.47/0.84 (declare-const tptp.contrasubsetT2 Bool) 0.47/0.84 (declare-const tptp.contrasubsetT1 Bool) 0.47/0.84 (declare-const tptp.contrasubsetT Bool) 0.47/0.84 (declare-const tptp.binintersectTELcontra Bool) 0.47/0.84 (declare-const tptp.complementTI1 Bool) 0.47/0.84 (declare-const tptp.powersetTE1 Bool) 0.47/0.84 (declare-const tptp.powersetTI1 Bool) 0.47/0.84 (declare-const tptp.subsetTI Bool) 0.47/0.84 (declare-const tptp.binintersectER Bool) 0.47/0.84 (declare-const tptp.setext Bool) 0.47/0.84 (declare-const tptp.dpsetconstrER Bool) 0.47/0.84 (declare-const tptp.binintersectSubset2 Bool) 0.47/0.84 (declare-const tptp.binintersectEL Bool) 0.47/0.84 (declare-const tptp.eta1 Bool) 0.47/0.84 (declare-const tptp.exuI1 Bool) 0.47/0.84 (declare-const tptp.binunionEcases Bool) 0.47/0.84 (declare-const tptp.descrp Bool) 0.47/0.84 (declare-const tptp.cartprodpairsurjEq Bool) 0.47/0.84 (declare-const tptp.binunionIR Bool) 0.47/0.84 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setbeta Bool) 0.47/0.84 (declare-const tptp.setextsub Bool) 0.47/0.84 (declare-const tptp.singletonsubset Bool) 0.47/0.84 (declare-const tptp.doubleComplementEq Bool) 0.47/0.84 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setadjoinSub2 Bool) 0.47/0.84 (declare-const tptp.kpairiskpair Bool) 0.47/0.84 (declare-const tptp.setadjoinSub Bool) 0.47/0.84 (declare-const tptp.notequalI2 Bool) 0.47/0.84 (declare-const tptp.emptysetsubset Bool) 0.47/0.84 (declare-const tptp.omega0Ax Bool) 0.47/0.84 (declare-const tptp.symdiffE Bool) 0.47/0.84 (declare-const tptp.cartprodfstin Bool) 0.47/0.84 (declare-const tptp.iftrueorfalse Bool) 0.47/0.84 (declare-const tptp.powerset__Cong Bool) 0.47/0.84 (declare-const tptp.setextAx Bool) 0.47/0.84 (declare-const tptp.nonemptyE1 Bool) 0.47/0.84 (declare-const tptp.binintersectRsub Bool) 0.47/0.84 (declare-const tptp.emptyset__Cong Bool) 0.47/0.84 (declare-const tptp.setadjoin__Cong Bool) 0.47/0.84 (declare-const tptp.iffalseProp2 Bool) 0.47/0.84 (declare-const tptp.binintersectSubset3 Bool) 0.47/0.84 (declare-const tptp.exuE3e Bool) 0.47/0.84 (declare-const tptp.quantDeMorgan3 Bool) 0.47/0.84 (declare-const tptp.eta2 Bool) 0.47/0.84 (declare-const tptp.exu__Cong Bool) 0.47/0.84 (declare-const tptp.in__Cong Bool) 0.47/0.84 (declare-const tptp.inCongP Bool) 0.47/0.84 (declare-const tptp.setunionsingleton2 Bool) 0.47/0.84 (declare-const tptp.exuI3 Bool) 0.47/0.84 (declare-const tptp.subsetE Bool) 0.47/0.84 (declare-const tptp.setukpairinjL2 Bool) 0.47/0.84 (declare-const tptp.binintersectT_lem Bool) 0.47/0.84 (declare-const tptp.set2prop (-> $$unsorted Bool)) 0.47/0.84 (declare-const tptp.sepSubset Bool) 0.47/0.84 (declare-const tptp.cartprodmempaircEq Bool) 0.47/0.84 (declare-const tptp.setminusSubset2 Bool) 0.47/0.84 (declare-const tptp.ap2p Bool) 0.47/0.84 (declare-const tptp.quantDeMorgan1 Bool) 0.47/0.84 (declare-const tptp.ubforcartprodlem1 Bool) 0.47/0.84 (declare-const tptp.sepInPowerset Bool) 0.47/0.84 (declare-const tptp.demorgan2a Bool) 0.47/0.84 (declare-const tptp.vacuousDall Bool) 0.47/0.84 (declare-const tptp.inPowerset Bool) 0.47/0.84 (declare-const tptp.upairset2E Bool) 0.47/0.84 (declare-const tptp.cartprodsndin Bool) 0.47/0.84 (declare-const tptp.emptyE1 Bool) 0.47/0.84 (declare-const tptp.subbreln Bool) 0.47/0.84 (declare-const tptp.notequalI1 Bool) 0.47/0.84 (declare-const tptp.symdiffIneg1 Bool) 0.47/0.84 (declare-const tptp.binunionT_lem Bool) 0.47/0.84 (declare-const tptp.complementInPowersetComplementIntersect Bool) 0.47/0.84 (declare-const tptp.emptysetE Bool) 0.47/0.84 (declare-const tptp.omega__Cong Bool) 0.47/0.84 (declare-const tptp.ifSingleton Bool) 0.47/0.84 (declare-const tptp.setadjoinIL Bool) 0.47/0.84 (declare-const tptp.exuEu Bool) 0.47/0.84 (declare-const tptp.complementSubsetComplementIntersect Bool) 0.47/0.84 (declare-const tptp.prop2setE Bool) 0.47/0.84 (declare-const tptp.exuI2 Bool) 0.47/0.84 (declare-const tptp.prop2set (-> Bool $$unsorted)) 0.47/0.84 (declare-const tptp.binunionLsub Bool) 0.47/0.84 (declare-const tptp.prop2set2propI Bool) 0.47/0.84 (declare-const tptp.dsetconstrEL Bool) 0.47/0.84 (declare-const tptp.binunionIL Bool) 0.47/0.84 (declare-const tptp.emptyinPowerset Bool) 0.47/0.84 (declare-const tptp.setadjoinIR Bool) 0.47/0.84 (declare-const tptp.setminusSubset1 Bool) 0.47/0.84 (declare-const tptp.dsetconstr__Cong Bool) 0.47/0.84 (declare-const tptp.kfstpairEq Bool) 0.47/0.84 (declare-const tptp.binintersectLsub Bool) 0.47/0.84 (declare-const tptp.binunionTEcontra Bool) 0.47/0.84 (declare-const tptp.nonemptyImpWitness Bool) 0.47/0.84 (declare-const tptp.iskpair (-> $$unsorted Bool)) 0.47/0.84 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) 0.47/0.84 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) 0.47/0.84 (declare-const tptp.replAx Bool) 0.47/0.84 (declare-const tptp.upairinpowunion Bool) 0.47/0.84 (declare-const tptp.upairsetE Bool) 0.47/0.84 (declare-const tptp.emptyInPowerset Bool) 0.47/0.84 (declare-const tptp.omegaIndAx Bool) 0.47/0.84 (declare-const tptp.inComplementUnionImpInComplement1 Bool) 0.47/0.84 (declare-const tptp.setunionE Bool) 0.47/0.84 (declare-const tptp.subsetTrans Bool) 0.47/0.84 (declare-const tptp.setukpairIL Bool) 0.47/0.84 (declare-const tptp.uniqinunit Bool) 0.47/0.84 (declare-const tptp.foundationAx Bool) 0.47/0.84 (declare-const tptp.notsubsetI Bool) 0.47/0.84 (declare-const tptp.upairequniteq Bool) 0.47/0.84 (declare-const tptp.funcGraphProp3 Bool) 0.47/0.84 (declare-const tptp.binintersectSubset4 Bool) 0.47/0.84 (declare-const tptp.emptysetimpfalse Bool) 0.47/0.84 (declare-const tptp.subsetRefl Bool) 0.47/0.84 (declare-const tptp.powersetT_lem Bool) 0.47/0.84 (declare-const tptp.beta2 Bool) 0.47/0.84 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.exuE2 Bool) 0.47/0.84 (declare-const tptp.subsetI2 Bool) 0.47/0.84 (declare-const tptp.setukpairinjR11 Bool) 0.47/0.84 (declare-const tptp.powersetsubset Bool) 0.47/0.84 (declare-const tptp.eqimpsubset2 Bool) 0.47/0.84 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.inIntersectImpInUnion2 Bool) 0.47/0.84 (declare-const tptp.setminusLsub Bool) 0.47/0.84 (declare-const tptp.emptyinunitempty Bool) 0.47/0.84 (declare-const tptp.doubleComplementE1 Bool) 0.47/0.84 (declare-const tptp.binunionRsub Bool) 0.47/0.84 (declare-const tptp.demorgan2b2 Bool) 0.47/0.84 (declare-const tptp.cartprodmempair1 Bool) 0.47/0.84 (declare-const tptp.notdallE Bool) 0.47/0.84 (declare-const tptp.dsetconstrER Bool) 0.47/0.84 (declare-const tptp.ap2apEq2 Bool) 0.47/0.84 (declare-const tptp.doubleComplementI1 Bool) 0.47/0.84 (declare-const tptp.binunionE Bool) 0.47/0.84 (declare-const tptp.cartprodpairin Bool) 0.47/0.84 (declare-const tptp.funcext2 Bool) 0.47/0.84 (declare-const tptp.eqimpsubset1 Bool) 0.47/0.84 (declare-const tptp.setadjoinAx Bool) 0.47/0.84 (declare-const tptp.exuE3u Bool) 0.47/0.84 (declare-const tptp.ifp Bool) 0.47/0.84 (declare-const tptp.subsetemptysetimpeq Bool) 0.47/0.84 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setextT Bool) 0.47/0.84 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.theeq Bool) 0.47/0.84 (declare-const tptp.setminusELneg Bool) 0.47/0.84 (declare-const tptp.inComplementUnionImpNotIn1 Bool) 0.47/0.84 (declare-const tptp.powersetE Bool) 0.47/0.84 (declare-const tptp.omegaSAx Bool) 0.47/0.84 (declare-const tptp.lam2p Bool) 0.47/0.84 (declare-const tptp.upairset2IR Bool) 0.47/0.84 (declare-const tptp.wellorderingAx Bool) 0.47/0.84 (declare-const tptp.cartprodsndpairEq Bool) 0.47/0.84 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setoftrueEq Bool) 0.47/0.84 (declare-const tptp.setunionAx Bool) 0.47/0.84 (declare-const tptp.emptyI Bool) 0.47/0.84 (declare-const tptp.noeltsimpempty Bool) 0.47/0.84 (declare-const tptp.binunionTIRcontra Bool) 0.47/0.84 (declare-const tptp.setminusER Bool) 0.47/0.84 (declare-const tptp.kpairp Bool) 0.47/0.84 (declare-const tptp.powersetI1 Bool) 0.47/0.84 (declare-const tptp.upairsetIL Bool) 0.47/0.84 (declare-const tptp.nonemptyI Bool) 0.47/0.84 (declare-const tptp.subsetI1 Bool) 0.47/0.84 (declare-const tptp.emptysetAx Bool) 0.47/0.84 (declare-const tptp.iftrue Bool) 0.47/0.84 (declare-const tptp.singletonsuniq Bool) 0.47/0.84 (declare-const tptp.nonemptyI1 Bool) 0.47/0.84 (declare-const tptp.descr__Cong Bool) 0.47/0.84 (declare-const tptp.setminusEL Bool) 0.47/0.84 (declare-const tptp.infuncsetfunc Bool) 0.47/0.84 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setadjoinE Bool) 0.47/0.84 (declare-const tptp.funcinfuncset Bool) 0.47/0.84 (declare-const tptp.setunionsingleton1 Bool) 0.47/0.84 (declare-const tptp.notdexE Bool) 0.47/0.84 (declare-const tptp.setunionI Bool) 0.47/0.84 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.exuE1 Bool) 0.47/0.84 (declare-const tptp.binintersectSubset5 Bool) 0.47/0.84 (declare-const tptp.binunionTE Bool) 0.47/0.84 (declare-const tptp.subPowSU Bool) 0.47/0.84 (declare-const tptp.complementTE1 Bool) 0.47/0.84 (declare-const tptp.subset2powerset Bool) 0.47/0.84 (declare-const tptp.singletonsswitch Bool) 0.47/0.84 (declare-const tptp.powersetE1 Bool) 0.47/0.84 (declare-const tptp.setunion__Cong Bool) 0.47/0.84 (declare-const tptp.funcGraphProp4 Bool) 0.47/0.84 (declare-const tptp.notinemptyset Bool) 0.47/0.84 (declare-const tptp.binintersectSubset1 Bool) 0.47/0.84 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.ex1E1 Bool) 0.47/0.84 (declare-const tptp.apProp Bool) 0.47/0.84 (declare-const tptp.bs114d Bool) 0.47/0.84 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setminusI Bool) 0.47/0.84 (declare-const tptp.ex1I2 Bool) 0.47/0.84 (declare-const tptp.inIntersectImpInUnion Bool) 0.47/0.84 (declare-const tptp.setminusERneg Bool) 0.47/0.84 (declare-const tptp.setminusILneg Bool) 0.47/0.84 (declare-const tptp.setminusIRneg Bool) 0.47/0.84 (declare-const tptp.theprop Bool) 0.47/0.84 (declare-const tptp.symdiffI1 Bool) 0.47/0.84 (declare-const tptp.intersectInPowersetIntersectUnions Bool) 0.47/0.84 (declare-const tptp.powersetI Bool) 0.47/0.84 (declare-const tptp.symdiffI2 Bool) 0.47/0.84 (declare-const tptp.symdiffIneg2 Bool) 0.47/0.84 (declare-const tptp.brelnall2 Bool) 0.47/0.84 (declare-const tptp.secondinupair Bool) 0.47/0.84 (declare-const tptp.setadjoinOr Bool) 0.47/0.84 (declare-const tptp.funcGraphProp1 Bool) 0.47/0.84 (declare-const tptp.setukpairIR Bool) 0.47/0.84 (declare-const tptp.singletoninpowerset Bool) 0.47/0.84 (declare-const tptp.ksndpairEq Bool) 0.47/0.84 (declare-const tptp.eqbreln Bool) 0.47/0.84 (declare-const tptp.notinsingleton Bool) 0.47/0.84 (declare-const tptp.singletoninpowunion Bool) 0.47/0.84 (declare-const tptp.demorgan2a2 Bool) 0.47/0.84 (declare-const tptp.eqinunit Bool) 0.47/0.84 (declare-const tptp.upairsubunion Bool) 0.47/0.84 (declare-const tptp.upairsetIR Bool) 0.47/0.84 (declare-const tptp.ubforcartprodlem2 Bool) 0.47/0.84 (declare-const tptp.beta1 Bool) 0.47/0.84 (declare-const tptp.ubforcartprodlem3 Bool) 0.47/0.84 (declare-const tptp.funcext Bool) 0.47/0.84 (declare-const tptp.cartprodmempair Bool) 0.47/0.84 (declare-const tptp.prop2setI Bool) 0.47/0.84 (declare-const tptp.setunionE2 Bool) 0.47/0.84 (declare-const tptp.setunionsingleton Bool) 0.47/0.84 (declare-const tptp.quantDeMorgan4 Bool) 0.47/0.84 (declare-const tptp.iffalseProp1 Bool) 0.47/0.84 (declare-const tptp.woz13rule2 Bool) 0.47/0.84 (declare-const tptp.singletonprop Bool) 0.47/0.84 (declare-const tptp.dsetconstrI Bool) 0.47/0.84 (declare-const tptp.funcImageSingleton Bool) 0.47/0.84 (declare-const tptp.ex1I Bool) 0.47/0.84 (declare-const tptp.woz1_2 Bool) 0.47/0.84 (declare-const tptp.setukpairinjL1 Bool) 0.47/0.84 (declare-const tptp.kfstsingleton Bool) 0.47/0.84 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.setukpairinjL Bool) 0.47/0.84 (declare-const tptp.powersetAx Bool) 0.47/0.84 (declare-const tptp.setukpairinjR12 Bool) 0.47/0.84 (declare-const tptp.subsetE2 Bool) 0.47/0.84 (declare-const tptp.setukpairinjR1 Bool) 0.47/0.84 (declare-const tptp.setukpairinjR2 Bool) 0.47/0.84 (declare-const tptp.omega $$unsorted) 0.47/0.84 (declare-const tptp.setukpairinjR Bool) 0.47/0.84 (declare-const tptp.ksndsingleton Bool) 0.47/0.84 (declare-const tptp.kpairsurjEq Bool) 0.47/0.84 (declare-const tptp.cartprodpairmemEL Bool) 0.47/0.84 (declare-const tptp.cartprodpairmemER Bool) 0.47/0.84 (declare-const tptp.binintersectTERcontra Bool) 0.47/0.84 (declare-const tptp.cartprodfstpairEq Bool) 0.47/0.84 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) 0.47/0.84 (declare-const tptp.dpsetconstrI Bool) 0.47/0.84 (declare-const tptp.contrasubsetT3 Bool) 0.47/0.84 (declare-const tptp.dpsetconstrSub Bool) 0.47/0.84 (declare-const tptp.setOfPairsIsBReln Bool) 0.47/0.84 (declare-const tptp.dpsetconstrERa Bool) 0.47/0.84 (declare-const tptp.binintersectI Bool) 0.47/0.84 (declare-const tptp.dpsetconstrEL1 Bool) 0.47/0.84 (declare-const tptp.dpsetconstrEL2 Bool) 0.47/0.84 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) 0.47/0.84 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) 0.47/0.84 (declare-const tptp.disjointsetsI1 Bool) 0.47/0.84 (declare-const tptp.app Bool) 0.47/0.84 (declare-const tptp.iftrueProp2 Bool) 0.47/0.84 (declare-const tptp.lamProp Bool) 0.47/0.84 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) 0.47/0.84 (declare-const tptp.iffalse Bool) 0.47/0.84 (declare-const tptp.lamp Bool) 0.47/0.84 (declare-const tptp.brelnall1 Bool) 0.47/0.84 (declare-const tptp.inIntersectImpInIntersectUnions Bool) 0.47/0.84 (declare-const tptp.ex1E2 Bool) 0.47/0.84 (declare-const tptp.funcGraphProp2 Bool) 0.47/0.84 (declare-const tptp.funcextLem Bool) 0.47/0.84 (declare-const tptp.demorgan1b Bool) 0.47/0.84 (declare-const tptp.ap2apEq1 Bool) 0.47/0.84 (declare-const tptp.quantDeMorgan2 Bool) 0.47/0.84 (declare-const tptp.lam2lamEq Bool) 0.47/0.84 (declare-const tptp.iftrueProp1 Bool) 0.47/0.84 (declare-const tptp.setminusT_lem Bool) 0.47/0.84 (declare-const tptp.complementT_lem Bool) 0.47/0.84 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) 0.47/0.84 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) 0.47/0.84 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) 0.47/0.84 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) 0.47/0.84 (define @t1 () (@var "B" $$unsorted)) 0.47/0.84 (define @t2 () (@var "A" $$unsorted)) 0.47/0.84 (define @t3 () (= @t2 @t1)) 0.47/0.84 (define @t4 () (@var "Xx" $$unsorted)) 0.47/0.84 (define @t5 () (_ tptp.in @t4)) 0.47/0.84 (define @t6 () (_ @t5 @t1)) 0.47/0.84 (define @t7 () (_ @t5 @t2)) 0.47/0.84 (define @t8 () (@list @t4)) 0.47/0.84 (define @t9 () (@list @t2 @t1)) 0.47/0.84 (define @t10 () (_ @t5 tptp.emptyset)) 0.47/0.84 (define @t11 () (forall @t8 (not @t10))) 0.47/0.84 (define @t12 () (@var "Xy" $$unsorted)) 0.47/0.84 (define @t13 () (_ tptp.in @t12)) 0.47/0.84 (define @t14 () (_ @t13 @t2)) 0.47/0.84 (define @t15 () (= @t12 @t4)) 0.47/0.84 (define @t16 () (or @t15 @t14)) 0.47/0.84 (define @t17 () (_ tptp.setadjoin @t4)) 0.47/0.84 (define @t18 () (_ @t17 @t2)) 0.47/0.84 (define @t19 () (_ @t13 @t18)) 0.47/0.84 (define @t20 () (@list @t4 @t2 @t12)) 0.47/0.84 (define @t21 () (=> @t6 @t7)) 0.47/0.84 (define @t22 () (forall @t8 @t21)) 0.47/0.84 (define @t23 () (_ tptp.powerset @t2)) 0.47/0.84 (define @t24 () (_ tptp.in @t1)) 0.47/0.84 (define @t25 () (_ @t24 @t23)) 0.47/0.84 (define @t26 () (_ @t24 @t2)) 0.47/0.84 (define @t27 () (@list @t1)) 0.47/0.84 (define @t28 () (_ tptp.setunion @t2)) 0.47/0.84 (define @t29 () (_ @t5 @t28)) 0.47/0.84 (define @t30 () (@list @t2 @t4)) 0.47/0.84 (define @t31 () (_ tptp.in tptp.emptyset)) 0.47/0.84 (define @t32 () (_ tptp.in (_ @t17 @t4))) 0.47/0.84 (define @t33 () (_ @t5 tptp.omega)) 0.47/0.84 (define @t34 () (@list @t2)) 0.47/0.84 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) 0.47/0.84 (define @t36 () (@list @t12)) 0.47/0.84 (define @t37 () (_ (_ @t35 @t4) @t12)) 0.47/0.84 (define @t38 () (exists @t8 @t7)) 0.47/0.84 (define @t39 () (@var "E" $$unsorted)) 0.47/0.84 (define @t40 () (@var "D" $$unsorted)) 0.47/0.84 (define @t41 () (_ @t13 @t40)) 0.47/0.84 (define @t42 () (@var "C" $$unsorted)) 0.47/0.84 (define @t43 () (_ @t13 @t42)) 0.47/0.84 (define @t44 () (_ @t5 @t42)) 0.47/0.84 (define @t45 () (_ (_ tptp.in @t40) @t1)) 0.47/0.84 (define @t46 () (forall @t8 (=> @t44 @t7))) 0.47/0.84 (define @t47 () (@list @t42)) 0.47/0.84 (define @t48 () (_ @t5 @t40)) 0.47/0.84 (define @t49 () (_ (_ tptp.in @t42) @t1)) 0.47/0.84 (define @t50 () (= @t4 @t12)) 0.47/0.84 (define @t51 () (@list @t4 @t12)) 0.47/0.84 (define @t52 () (@var "Xphi" (-> $$unsorted Bool))) 0.47/0.84 (define @t53 () (_ @t52 @t4)) 0.47/0.84 (define @t54 () (lambda @t8 @t53)) 0.47/0.84 (define @t55 () (_ tptp.descr @t54)) 0.47/0.84 (define @t56 () (_ tptp.exu @t54)) 0.47/0.84 (define @t57 () (@list @t52)) 0.47/0.84 (define @t58 () (_ @t52 @t12)) 0.47/0.84 (define @t59 () (lambda @t36 @t58)) 0.47/0.84 (define @t60 () (_ tptp.dsetconstr @t2)) 0.47/0.84 (define @t61 () (_ @t60 @t59)) 0.47/0.84 (define @t62 () (_ @t5 @t61)) 0.47/0.84 (define @t63 () (@list @t2 @t52 @t4)) 0.47/0.84 (define @t64 () (=> @t58 @t50)) 0.47/0.84 (define @t65 () (exists @t8 (and @t53 (forall @t36 @t64)))) 0.47/0.84 (define @t66 () (@var "Xphi" Bool)) 0.47/0.84 (define @t67 () (_ tptp.prop2set @t66)) 0.47/0.84 (define @t68 () (@list @t66 @t4)) 0.47/0.84 (define @t69 () (@list @t66)) 0.47/0.84 (define @t70 () (exists @t8 @t53)) 0.47/0.84 (define @t71 () (=> @t7 @t6)) 0.47/0.84 (define @t72 () (forall @t8 @t71)) 0.47/0.84 (define @t73 () (= @t2 tptp.emptyset)) 0.47/0.84 (define @t74 () (not @t7)) 0.47/0.84 (define @t75 () (forall @t34 (=> (forall @t8 @t74) @t73))) 0.47/0.84 (define @t76 () (_ tptp.nonempty @t2)) 0.47/0.84 (define @t77 () (forall @t34 (_ @t31 @t23))) 0.47/0.84 (define @t78 () (@list @t2 @t1 @t4)) 0.47/0.84 (define @t79 () (@list @t2 @t4 @t1)) 0.47/0.84 (define @t80 () (exists @t8 (forall @t36 (= @t58 @t15)))) 0.47/0.84 (define @t81 () (_ tptp.setadjoin @t12)) 0.47/0.84 (define @t82 () (_ @t81 tptp.emptyset)) 0.47/0.84 (define @t83 () (_ @t5 @t82)) 0.47/0.84 (define @t84 () (_ @t17 tptp.emptyset)) 0.47/0.84 (define @t85 () (_ @t13 @t84)) 0.47/0.84 (define @t86 () (@var "Xz" $$unsorted)) 0.47/0.84 (define @t87 () (= @t86 @t12)) 0.47/0.84 (define @t88 () (= @t86 @t4)) 0.47/0.84 (define @t89 () (_ @t17 @t82)) 0.47/0.84 (define @t90 () (@list @t4 @t12 @t86)) 0.47/0.84 (define @t91 () (forall @t90 (=> (_ (_ tptp.in @t86) @t89) (or @t88 @t87)))) 0.47/0.84 (define @t92 () (forall @t51 (_ @t13 @t89))) 0.47/0.84 (define @t93 () (_ @t60 @t54)) 0.47/0.84 (define @t94 () (exists @t8 (and @t7 @t53))) 0.47/0.84 (define @t95 () (@list @t2 @t52)) 0.47/0.84 (define @t96 () (not @t53)) 0.47/0.84 (define @t97 () (exists @t8 (and @t7 @t96))) 0.47/0.84 (define @t98 () (not (forall @t8 (=> @t7 @t53)))) 0.47/0.84 (define @t99 () (forall @t95 (=> @t98 @t97))) 0.47/0.84 (define @t100 () (not @t94)) 0.47/0.84 (define @t101 () (forall @t8 (=> @t7 @t96))) 0.47/0.84 (define @t102 () (forall @t95 (=> @t100 @t101))) 0.47/0.84 (define @t103 () (=> @t53 @t64)) 0.47/0.84 (define @t104 () (forall @t51 @t103)) 0.47/0.84 (define @t105 () (_ @t13 @t1)) 0.47/0.84 (define @t106 () (forall @t57 (=> @t56 @t104))) 0.47/0.84 (define @t107 () (@var "Xpsi" (-> $$unsorted Bool))) 0.47/0.84 (define @t108 () (lambda @t8 (_ @t107 @t4))) 0.47/0.84 (define @t109 () (_ tptp.exu @t108)) 0.47/0.84 (define @t110 () (=> @t50 (= @t53 (_ @t107 @t12)))) 0.47/0.84 (define @t111 () (forall @t51 @t110)) 0.47/0.84 (define @t112 () (@list @t52 @t107)) 0.47/0.84 (define @t113 () (@var "Xu" $$unsorted)) 0.47/0.84 (define @t114 () (= @t86 @t113)) 0.47/0.84 (define @t115 () (@list @t86 @t113)) 0.47/0.84 (define @t116 () (_ tptp.powerset @t1)) 0.47/0.84 (define @t117 () (_ tptp.dsetconstr @t1)) 0.47/0.84 (define @t118 () (_ tptp.subset @t2)) 0.47/0.84 (define @t119 () (_ @t118 @t1)) 0.47/0.84 (define @t120 () (forall @t9 (=> @t72 @t119))) 0.47/0.84 (define @t121 () (_ tptp.subset @t1)) 0.47/0.84 (define @t122 () (_ @t121 @t2)) 0.47/0.84 (define @t123 () (not @t6)) 0.47/0.84 (define @t124 () (=> @t123 @t74)) 0.47/0.84 (define @t125 () (not @t119)) 0.47/0.84 (define @t126 () (not @t3)) 0.47/0.84 (define @t127 () (@list @t2 @t1 @t42)) 0.47/0.84 (define @t128 () (_ tptp.in @t2)) 0.47/0.84 (define @t129 () (_ (_ tptp.binunion @t2) @t1)) 0.47/0.84 (define @t130 () (_ @t5 @t129)) 0.47/0.84 (define @t131 () (=> @t6 @t66)) 0.47/0.84 (define @t132 () (_ tptp.binintersect @t2)) 0.47/0.84 (define @t133 () (_ @t132 @t1)) 0.47/0.84 (define @t134 () (_ @t5 @t133)) 0.47/0.84 (define @t135 () (_ tptp.subset @t42)) 0.47/0.84 (define @t136 () (_ tptp.subset @t133)) 0.47/0.84 (define @t137 () (= @t133 @t2)) 0.47/0.84 (define @t138 () (= @t133 @t1)) 0.47/0.84 (define @t139 () (_ tptp.setminus @t2)) 0.47/0.84 (define @t140 () (_ @t139 @t1)) 0.47/0.84 (define @t141 () (_ @t5 @t140)) 0.47/0.84 (define @t142 () (= @t140 tptp.emptyset)) 0.47/0.84 (define @t143 () (not @t141)) 0.47/0.84 (define @t144 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) 0.47/0.84 (define @t145 () (not @t144)) 0.47/0.84 (define @t146 () (_ tptp.setadjoin @t84)) 0.47/0.84 (define @t147 () (_ @t146 (_ (_ tptp.setadjoin @t89) tptp.emptyset))) 0.47/0.84 (define @t148 () (_ tptp.setunion @t147)) 0.47/0.84 (define @t149 () (_ tptp.kpair @t4)) 0.47/0.84 (define @t150 () (_ @t149 @t12)) 0.47/0.84 (define @t151 () (_ tptp.in @t84)) 0.47/0.84 (define @t152 () (_ tptp.powerset @t129)) 0.47/0.84 (define @t153 () (_ tptp.powerset @t152)) 0.47/0.84 (define @t154 () (_ tptp.in @t150)) 0.47/0.84 (define @t155 () (_ (_ tptp.cartprod @t2) @t1)) 0.47/0.84 (define @t156 () (_ @t154 @t155)) 0.47/0.84 (define @t157 () (_ (_ tptp.in @t113) @t155)) 0.47/0.84 (define @t158 () (@list @t2 @t1 @t113)) 0.47/0.84 (define @t159 () (_ tptp.iskpair @t113)) 0.47/0.84 (define @t160 () (@var "X" $$unsorted)) 0.47/0.84 (define @t161 () (_ @t5 @t160)) 0.47/0.84 (define @t162 () (_ tptp.in @t160)) 0.47/0.84 (define @t163 () (@list @t160)) 0.47/0.84 (define @t164 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) 0.47/0.84 (define @t165 () (_ tptp.singleton @t93)) 0.47/0.84 (define @t166 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t103))))) 0.47/0.84 (define @t167 () (_ tptp.ex1 @t2)) 0.47/0.84 (define @t168 () (_ @t167 @t54)) 0.47/0.84 (define @t169 () (= @t4 @t86)) 0.47/0.84 (define @t170 () (_ tptp.setadjoin @t86)) 0.47/0.84 (define @t171 () (_ @t170 tptp.emptyset)) 0.47/0.84 (define @t172 () (_ tptp.dsetconstr (_ tptp.setunion @t113))) 0.47/0.84 (define @t173 () (@list @t113)) 0.47/0.85 (define @t174 () (_ tptp.setunion @t160)) 0.47/0.85 (define @t175 () (_ tptp.singleton @t160)) 0.47/0.85 (define @t176 () (= (_ tptp.kfst @t150) @t4)) 0.47/0.85 (define @t177 () (_ tptp.kfst @t113)) 0.47/0.85 (define @t178 () (= @t147 (_ (_ tptp.setadjoin @t171) (_ (_ tptp.setadjoin (_ @t170 (_ (_ tptp.setadjoin @t113) tptp.emptyset))) tptp.emptyset)))) 0.47/0.85 (define @t179 () (@list @t4 @t12 @t86 @t113)) 0.47/0.85 (define @t180 () (= @t150 (_ (_ tptp.kpair @t86) @t113))) 0.47/0.85 (define @t181 () (= @t12 @t113)) 0.47/0.85 (define @t182 () (_ tptp.kpair @t177)) 0.47/0.85 (define @t183 () (= (_ tptp.ksnd @t150) @t12)) 0.47/0.85 (define @t184 () (_ tptp.ksnd @t113)) 0.47/0.85 (define @t185 () (= (_ @t182 @t184) @t113)) 0.47/0.85 (define @t186 () (@list @t2 @t1 @t4 @t12)) 0.47/0.85 (define @t187 () (_ (_ tptp.dpsetconstr @t2) @t1)) 0.47/0.85 (define @t188 () (_ @t154 (_ @t187 (lambda @t115 (_ (_ @t35 @t86) @t113))))) 0.47/0.85 (define @t189 () (@list @t2 @t1 @t35 @t4)) 0.47/0.85 (define @t190 () (_ @t187 (lambda @t51 @t37))) 0.47/0.85 (define @t191 () (@list @t2 @t1 @t35)) 0.47/0.85 (define @t192 () (_ (_ tptp.breln @t2) @t1)) 0.47/0.85 (define @t193 () (=> @t188 @t37)) 0.47/0.85 (define @t194 () (@list @t2 @t1 @t35 @t4 @t12)) 0.47/0.85 (define @t195 () (@var "Xf" $$unsorted)) 0.47/0.85 (define @t196 () (_ @t154 @t195)) 0.47/0.85 (define @t197 () (_ @t117 (lambda @t36 @t196))) 0.47/0.85 (define @t198 () (_ (_ tptp.func @t2) @t1)) 0.47/0.85 (define @t199 () (_ @t198 @t195)) 0.47/0.85 (define @t200 () (@list @t2 @t1 @t195)) 0.47/0.85 (define @t201 () (_ (_ tptp.ap @t2) @t1)) 0.47/0.85 (define @t202 () (_ (_ @t201 @t195) @t4)) 0.47/0.85 (define @t203 () (forall @t8 (=> @t7 (_ (_ tptp.in @t202) @t1)))) 0.47/0.85 (define @t204 () (_ (_ tptp.funcSet @t2) @t1)) 0.47/0.85 (define @t205 () (_ (_ tptp.in @t195) @t204)) 0.47/0.85 (define @t206 () (@var "Xf" (-> $$unsorted $$unsorted))) 0.47/0.85 (define @t207 () (_ @t206 @t4)) 0.47/0.85 (define @t208 () (forall @t8 (=> @t7 (_ (_ tptp.in @t207) @t1)))) 0.47/0.85 (define @t209 () (@list @t2 @t1 @t206)) 0.47/0.85 (define @t210 () (_ (_ tptp.lam @t2) @t1)) 0.47/0.85 (define @t211 () (_ @t210 (lambda @t8 @t207))) 0.47/0.85 (define @t212 () (@var "R" $$unsorted)) 0.47/0.85 (define @t213 () (_ @t154 @t212)) 0.47/0.85 (define @t214 () (_ @t192 @t212)) 0.47/0.85 (define @t215 () (@list @t2 @t1 @t212)) 0.47/0.85 (define @t216 () (forall @t215 (=> @t214 (forall @t57 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t213 (_ @t52 @t150)))))) (forall @t8 (=> (_ @t5 @t212) @t53))))))) 0.47/0.85 (define @t217 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ @t149 @t202)) @t195)))) 0.47/0.85 (define @t218 () (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t196 (= @t202 @t12))))))) 0.47/0.85 (define @t219 () (@var "Xg" $$unsorted)) 0.47/0.85 (define @t220 () (forall @t8 (=> @t7 (= @t202 (_ (_ @t201 @t219) @t4))))) 0.47/0.85 (define @t221 () (_ @t198 @t219)) 0.47/0.85 (define @t222 () (@list @t219)) 0.47/0.85 (define @t223 () (@var "S" $$unsorted)) 0.47/0.85 (define @t224 () (_ @t154 @t223)) 0.47/0.85 (define @t225 () (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t213 @t224)))))) 0.47/0.85 (define @t226 () (_ @t192 @t223)) 0.47/0.85 (define @t227 () (@list @t223)) 0.47/0.85 (define @t228 () (=> @t220 (= @t195 @t219))) 0.47/0.85 (define @t229 () (forall @t8 (=> @t7 (= @t202 @t202)))) 0.47/0.85 (define @t230 () (forall @t209 (=> @t208 (forall @t8 (=> @t7 (= (_ (_ @t201 (_ @t210 (lambda @t36 (_ @t206 @t12)))) @t4) @t207)))))) 0.47/0.85 (define @t231 () (= (_ @t210 (lambda @t8 @t202)) @t195)) 0.47/0.85 (define @t232 () (not @t66)) 0.47/0.85 (define @t233 () (_ @t60 (lambda (@list @t86) (or (and @t66 @t88) (and @t232 @t87))))) 0.47/0.85 (define @t234 () (@list @t2 @t66 @t4)) 0.47/0.85 (define @t235 () (_ (_ (_ (_ tptp.if @t2) @t66) @t4) @t12)) 0.47/0.85 (define @t236 () (_ tptp.in @t235)) 0.47/0.85 (define @t237 () (@var "Y" $$unsorted)) 0.47/0.85 (define @t238 () (_ (_ tptp.binintersect @t160) @t237)) 0.47/0.85 (define @t239 () (_ tptp.in @t238)) 0.47/0.85 (define @t240 () (_ tptp.in @t237)) 0.47/0.85 (define @t241 () (_ @t240 @t23)) 0.47/0.85 (define @t242 () (@list @t237)) 0.47/0.85 (define @t243 () (_ @t162 @t23)) 0.47/0.85 (define @t244 () (@list @t2 @t160)) 0.47/0.85 (define @t245 () (_ tptp.binunion @t160)) 0.47/0.85 (define @t246 () (_ @t245 @t237)) 0.47/0.85 (define @t247 () (_ @t139 @t160)) 0.47/0.85 (define @t248 () (_ tptp.in @t247)) 0.47/0.85 (define @t249 () (_ @t5 @t237)) 0.47/0.85 (define @t250 () (=> @t161 @t249)) 0.47/0.85 (define @t251 () (forall @t8 (=> @t7 @t250))) 0.47/0.85 (define @t252 () (_ tptp.subset @t160)) 0.47/0.85 (define @t253 () (_ @t252 @t237)) 0.47/0.85 (define @t254 () (_ @t162 (_ tptp.powerset @t237))) 0.47/0.85 (define @t255 () (_ @t5 @t247)) 0.47/0.85 (define @t256 () (not @t255)) 0.47/0.85 (define @t257 () (_ @t5 @t238)) 0.47/0.85 (define @t258 () (not @t257)) 0.47/0.85 (define @t259 () (not @t161)) 0.47/0.85 (define @t260 () (not @t249)) 0.47/0.85 (define @t261 () (_ @t139 @t237)) 0.47/0.85 (define @t262 () (_ @t252 @t261)) 0.47/0.85 (define @t263 () (_ (_ tptp.subset @t261) @t247)) 0.47/0.85 (define @t264 () (_ @t139 @t247)) 0.47/0.85 (define @t265 () (_ @t5 @t264)) 0.47/0.85 (define @t266 () (_ @t139 @t238)) 0.47/0.85 (define @t267 () (_ @t5 @t266)) 0.47/0.85 (define @t268 () (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ @t248 (_ tptp.powerset @t266))))))) 0.47/0.85 (define @t269 () (_ tptp.subset @t237)) 0.47/0.85 (define @t270 () (_ @t5 @t246)) 0.47/0.85 (define @t271 () (not @t270)) 0.47/0.85 (define @t272 () (@var "Z" $$unsorted)) 0.47/0.85 (define @t273 () (_ @t245 @t272)) 0.47/0.85 (define @t274 () (_ tptp.in @t272)) 0.47/0.85 (define @t275 () (_ @t274 @t23)) 0.47/0.85 (define @t276 () (@list @t272)) 0.47/0.85 (define @t277 () (_ (_ tptp.binunion @t237) @t272)) 0.47/0.85 (define @t278 () (_ (_ tptp.binintersect @t273) @t277)) 0.47/0.85 (define @t279 () (_ tptp.powerset @t278)) 0.47/0.85 (define @t280 () (_ @t239 @t279)) 0.47/0.85 (define @t281 () (forall @t276 (=> @t275 @t280))) 0.47/0.85 (define @t282 () (=> @t241 @t281)) 0.47/0.85 (define @t283 () (forall @t242 @t282)) 0.47/0.85 (define @t284 () (=> @t243 @t283)) 0.47/0.85 (define @t285 () (forall @t244 @t284)) 0.47/0.85 (define @t286 () (= tptp.intersectInPowersetIntersectUnions @t285)) 0.47/0.85 (define @t287 () (_ @t139 @t246)) 0.47/0.85 (define @t288 () (_ @t5 @t287)) 0.47/0.85 (define @t289 () (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t288 @t255)))))))) 0.47/0.85 (define @t290 () (_ @t5 @t261)) 0.47/0.85 (define @t291 () (_ (_ tptp.binunion @t247) @t261)) 0.47/0.85 (define @t292 () (_ @t5 @t291)) 0.47/0.85 (define @t293 () (_ (_ tptp.binintersect @t247) @t261)) 0.47/0.85 (define @t294 () (_ @t5 @t293)) 0.47/0.85 (define @t295 () (_ tptp.subset @t238)) 0.47/0.85 (define @t296 () (_ @t295 @t272)) 0.47/0.85 (define @t297 () (_ @t252 @t272)) 0.47/0.85 (define @t298 () (@var "W" $$unsorted)) 0.47/0.85 (define @t299 () (_ (_ tptp.in @t298) @t23)) 0.47/0.85 (define @t300 () (@list @t298)) 0.47/0.85 (define @t301 () (=> tptp.woz1_2 @t285)) 0.47/0.85 (define @t302 () (=> tptp.woz1_1 @t301)) 0.47/0.85 (define @t303 () (=> tptp.woz13rule4 @t302)) 0.47/0.85 (define @t304 () (=> tptp.woz13rule3 @t303)) 0.47/0.85 (define @t305 () (=> tptp.woz13rule2 @t304)) 0.47/0.85 (define @t306 () (=> tptp.woz13rule1 @t305)) 0.47/0.85 (define @t307 () (=> tptp.woz13rule0 @t306)) 0.47/0.85 (define @t308 () (=> tptp.demorgan2 @t307)) 0.47/0.85 (define @t309 () (=> tptp.demorgan2b @t308)) 0.47/0.85 (define @t310 () (=> tptp.demorgan2b2 @t309)) 0.47/0.85 (define @t311 () (=> tptp.demorgan2a @t310)) 0.47/0.85 (define @t312 () (=> tptp.demorgan1 @t311)) 0.47/0.85 (define @t313 () (=> tptp.demorgan1b @t312)) 0.47/0.85 (define @t314 () (=> tptp.demorgan1a @t313)) 0.47/0.85 (define @t315 () (=> tptp.demorgan2a2 @t314)) 0.47/0.85 (define @t316 () (=> tptp.complementUnionInPowersetComplement @t315)) 0.47/0.85 (define @t317 () (=> tptp.demorgan2a1 @t316)) 0.47/0.85 (define @t318 () (=> tptp.binunionTEcontra @t317)) 0.47/0.85 (define @t319 () (=> tptp.binunionTE @t318)) 0.47/0.85 (define @t320 () (=> tptp.inComplementUnionImpInComplement1 @t319)) 0.47/0.85 (define @t321 () (=> tptp.inComplementUnionImpNotIn1 @t320)) 0.47/0.85 (define @t322 () (=> tptp.intersectInPowersetIntersectUnions @t321)) 0.47/0.85 (define @t323 () (=> tptp.inIntersectImpInIntersectUnions @t322)) 0.47/0.85 (define @t324 () (=> tptp.inIntersectImpInUnion2 @t323)) 0.47/0.85 (define @t325 () (=> tptp.inIntersectImpInUnion @t324)) 0.47/0.85 (define @t326 () (=> tptp.binunionTIRcontra @t325)) 0.47/0.85 (define @t327 () (=> tptp.binunionTILcontra @t326)) 0.47/0.85 (define @t328 () (=> tptp.complementTcontraSubset @t327)) 0.47/0.85 (define @t329 () (=> tptp.contraSubsetComplement @t328)) 0.47/0.85 (define @t330 () (=> tptp.complementInPowersetComplementIntersect @t329)) 0.47/0.85 (define @t331 () (=> tptp.complementSubsetComplementIntersect @t330)) 0.47/0.85 (define @t332 () (=> tptp.complementImpComplementIntersect @t331)) 0.47/0.85 (define @t333 () (=> tptp.complementTnotintersectT @t332)) 0.47/0.85 (define @t334 () (=> tptp.doubleComplementEq @t333)) 0.47/0.85 (define @t335 () (=> tptp.doubleComplementSub2 @t334)) 0.47/0.85 (define @t336 () (=> tptp.doubleComplementSub1 @t335)) 0.47/0.85 (define @t337 () (=> tptp.doubleComplementE1 @t336)) 0.47/0.85 (define @t338 () (=> tptp.doubleComplementI1 @t337)) 0.47/0.85 (define @t339 () (=> tptp.contrasubsetT3 @t338)) 0.47/0.85 (define @t340 () (=> tptp.contrasubsetT2 @t339)) 0.47/0.85 (define @t341 () (=> tptp.contrasubsetT1 @t340)) 0.47/0.85 (define @t342 () (=> tptp.contrasubsetT @t341)) 0.47/0.85 (define @t343 () (=> tptp.binintersectTERcontra @t342)) 0.47/0.85 (define @t344 () (=> tptp.binintersectTELcontra @t343)) 0.47/0.85 (define @t345 () (=> tptp.complementTE1 @t344)) 0.47/0.85 (define @t346 () (=> tptp.complementTI1 @t345)) 0.47/0.85 (define @t347 () (=> tptp.powersetTE1 @t346)) 0.47/0.85 (define @t348 () (=> tptp.powersetTI1 @t347)) 0.47/0.85 (define @t349 () (=> tptp.subsetTI @t348)) 0.47/0.85 (define @t350 () (=> tptp.setextT @t349)) 0.47/0.85 (define @t351 () (=> tptp.complementT_lem @t350)) 0.47/0.85 (define @t352 () (=> tptp.setminusT_lem @t351)) 0.47/0.85 (define @t353 () (=> tptp.powersetT_lem @t352)) 0.47/0.85 (define @t354 () (=> tptp.binunionT_lem @t353)) 0.47/0.85 (define @t355 () (=> tptp.binintersectT_lem @t354)) 0.47/0.85 (define @t356 () (=> tptp.iftrueorfalse @t355)) 0.47/0.85 (define @t357 () (=> tptp.iffalse @t356)) 0.47/0.85 (define @t358 () (=> tptp.iftrue @t357)) 0.47/0.85 (define @t359 () (=> tptp.theeq @t358)) 0.47/0.85 (define @t360 () (=> tptp.ifp @t359)) 0.47/0.85 (define @t361 () (=> tptp.ifSingleton @t360)) 0.47/0.85 (define @t362 () (=> tptp.iftrueProp2 @t361)) 0.47/0.85 (define @t363 () (=> tptp.iftrueProp1 @t362)) 0.47/0.85 (define @t364 () (=> tptp.iffalseProp2 @t363)) 0.47/0.85 (define @t365 () (=> tptp.iffalseProp1 @t364)) 0.47/0.85 (define @t366 () (=> tptp.eta2 @t365)) 0.47/0.85 (define @t367 () (=> tptp.beta2 @t366)) 0.47/0.85 (define @t368 () (=> tptp.lam2lamEq @t367)) 0.47/0.85 (define @t369 () (=> tptp.eta1 @t368)) 0.47/0.85 (define @t370 () (=> tptp.beta1 @t369)) 0.47/0.85 (define @t371 () (=> tptp.ap2apEq2 @t370)) 0.47/0.85 (define @t372 () (=> tptp.ap2apEq1 @t371)) 0.47/0.85 (define @t373 () (=> tptp.funcext2 @t372)) 0.47/0.85 (define @t374 () (=> tptp.funcext @t373)) 0.47/0.85 (define @t375 () (=> tptp.eqbreln @t374)) 0.47/0.85 (define @t376 () (=> tptp.subbreln @t375)) 0.47/0.85 (define @t377 () (=> tptp.funcGraphProp4 @t376)) 0.47/0.85 (define @t378 () (=> tptp.funcextLem @t377)) 0.47/0.85 (define @t379 () (=> tptp.funcGraphProp2 @t378)) 0.47/0.85 (define @t380 () (=> tptp.funcGraphProp3 @t379)) 0.47/0.85 (define @t381 () (=> tptp.funcGraphProp1 @t380)) 0.47/0.85 (define @t382 () (=> tptp.ex1E2 @t381)) 0.47/0.85 (define @t383 () (=> tptp.brelnall2 @t382)) 0.47/0.85 (define @t384 () (=> tptp.brelnall1 @t383)) 0.47/0.85 (define @t385 () (=> tptp.lam2p @t384)) 0.47/0.85 (define @t386 () (=> tptp.lamp @t385)) 0.47/0.85 (define @t387 () (=> tptp.lamProp @t386)) 0.47/0.85 (define @t388 () (=> tptp.funcinfuncset @t387)) 0.47/0.85 (define @t389 () (=> tptp.ap2p @t388)) 0.47/0.85 (define @t390 () (=> tptp.infuncsetfunc @t389)) 0.47/0.85 (define @t391 () (=> tptp.app @t390)) 0.47/0.85 (define @t392 () (=> tptp.apProp @t391)) 0.47/0.85 (define @t393 () (=> tptp.funcImageSingleton @t392)) 0.47/0.85 (define @t394 () (=> tptp.dpsetconstrER @t393)) 0.47/0.85 (define @t395 () (=> tptp.dpsetconstrEL2 @t394)) 0.47/0.85 (define @t396 () (=> tptp.dpsetconstrEL1 @t395)) 0.47/0.85 (define @t397 () (=> tptp.dpsetconstrERa @t396)) 0.47/0.85 (define @t398 () (=> tptp.setOfPairsIsBReln @t397)) 0.47/0.85 (define @t399 () (=> tptp.dpsetconstrSub @t398)) 0.47/0.85 (define @t400 () (=> tptp.dpsetconstrI @t399)) 0.47/0.85 (define @t401 () (=> tptp.cartprodpairsurjEq @t400)) 0.47/0.85 (define @t402 () (=> tptp.cartprodsndpairEq @t401)) 0.47/0.85 (define @t403 () (=> tptp.cartprodfstpairEq @t402)) 0.47/0.85 (define @t404 () (=> tptp.cartprodmempaircEq @t403)) 0.47/0.85 (define @t405 () (=> tptp.cartprodpairmemER @t404)) 0.47/0.85 (define @t406 () (=> tptp.cartprodpairmemEL @t405)) 0.47/0.85 (define @t407 () (=> tptp.cartprodsndin @t406)) 0.47/0.85 (define @t408 () (=> tptp.kpairsurjEq @t407)) 0.47/0.85 (define @t409 () (=> tptp.ksndpairEq @t408)) 0.47/0.85 (define @t410 () (=> tptp.ksndsingleton @t409)) 0.47/0.85 (define @t411 () (=> tptp.setukpairinjR @t410)) 0.47/0.85 (define @t412 () (=> tptp.setukpairinjR2 @t411)) 0.47/0.85 (define @t413 () (=> tptp.upairequniteq @t412)) 0.47/0.85 (define @t414 () (=> tptp.setukpairinjR1 @t413)) 0.47/0.85 (define @t415 () (=> tptp.setukpairinjR12 @t414)) 0.47/0.85 (define @t416 () (=> tptp.setukpairinjR11 @t415)) 0.47/0.85 (define @t417 () (=> tptp.setukpairinjL @t416)) 0.47/0.85 (define @t418 () (=> tptp.setukpairinjL2 @t417)) 0.47/0.85 (define @t419 () (=> tptp.cartprodfstin @t418)) 0.47/0.85 (define @t420 () (=> tptp.kfstpairEq @t419)) 0.47/0.85 (define @t421 () (=> tptp.theprop @t420)) 0.47/0.85 (define @t422 () (=> tptp.kfstsingleton @t421)) 0.47/0.85 (define @t423 () (=> tptp.setukpairinjL1 @t422)) 0.47/0.85 (define @t424 () (=> tptp.singletonsuniq @t423)) 0.47/0.85 (define @t425 () (=> tptp.ex1I2 @t424)) 0.47/0.85 (define @t426 () (=> tptp.ex1I @t425)) 0.47/0.85 (define @t427 () (=> tptp.ex1E1 @t426)) 0.47/0.85 (define @t428 () (=> tptp.singletonprop @t427)) 0.47/0.85 (define @t429 () (=> tptp.setunionsingleton @t428)) 0.47/0.85 (define @t430 () (=> tptp.setunionsingleton2 @t429)) 0.47/0.85 (define @t431 () (=> tptp.setunionsingleton1 @t430)) 0.47/0.85 (define @t432 () (=> tptp.setunionE2 @t431)) 0.47/0.85 (define @t433 () (=> tptp.cartprodmempair @t432)) 0.47/0.85 (define @t434 () (=> tptp.cartprodmempair1 @t433)) 0.47/0.85 (define @t435 () (=> tptp.cartprodpairin @t434)) 0.47/0.85 (define @t436 () (=> tptp.ubforcartprodlem3 @t435)) 0.47/0.85 (define @t437 () (=> tptp.ubforcartprodlem2 @t436)) 0.47/0.85 (define @t438 () (=> tptp.ubforcartprodlem1 @t437)) 0.47/0.85 (define @t439 () (=> tptp.upairinpowunion @t438)) 0.47/0.85 (define @t440 () (=> tptp.upairsubunion @t439)) 0.47/0.85 (define @t441 () (=> tptp.upairset2E @t440)) 0.47/0.85 (define @t442 () (=> tptp.singletoninpowunion @t441)) 0.47/0.85 (define @t443 () (=> tptp.singletoninpowerset @t442)) 0.47/0.85 (define @t444 () (=> tptp.singletonsubset @t443)) 0.47/0.85 (define @t445 () (=> tptp.kpairp @t444)) 0.47/0.85 (define @t446 () (=> tptp.kpairiskpair @t445)) 0.47/0.85 (define @t447 () (=> tptp.setukpairIR @t446)) 0.47/0.85 (define @t448 () (=> tptp.setukpairIL @t447)) 0.47/0.85 (define @t449 () (=> tptp.secondinupair @t448)) 0.47/0.85 (define @t450 () (=> tptp.symdiffIneg2 @t449)) 0.47/0.85 (define @t451 () (=> tptp.symdiffIneg1 @t450)) 0.47/0.85 (define @t452 () (=> tptp.symdiffI2 @t451)) 0.47/0.85 (define @t453 () (=> tptp.symdiffI1 @t452)) 0.47/0.85 (define @t454 () (=> tptp.symdiffE @t453)) 0.47/0.85 (define @t455 () (=> tptp.setminusSubset1 @t454)) 0.47/0.85 (define @t456 () (=> tptp.setminusLsub @t455)) 0.47/0.85 (define @t457 () (=> tptp.setminusIRneg @t456)) 0.47/0.85 (define @t458 () (=> tptp.setminusILneg @t457)) 0.47/0.85 (define @t459 () (=> tptp.setminusELneg @t458)) 0.47/0.85 (define @t460 () (=> tptp.setminusERneg @t459)) 0.47/0.85 (define @t461 () (=> tptp.setminusSubset2 @t460)) 0.47/0.85 (define @t462 () (=> tptp.setminusER @t461)) 0.47/0.85 (define @t463 () (=> tptp.setminusEL @t462)) 0.47/0.85 (define @t464 () (=> tptp.setminusI @t463)) 0.47/0.85 (define @t465 () (=> tptp.bs114d @t464)) 0.47/0.85 (define @t466 () (=> tptp.binintersectSubset1 @t465)) 0.47/0.85 (define @t467 () (=> tptp.binintersectSubset4 @t466)) 0.47/0.85 (define @t468 () (=> tptp.binintersectRsub @t467)) 0.47/0.85 (define @t469 () (=> tptp.disjointsetsI1 @t468)) 0.47/0.85 (define @t470 () (=> tptp.binintersectER @t469)) 0.47/0.85 (define @t471 () (=> tptp.binintersectSubset3 @t470)) 0.47/0.85 (define @t472 () (=> tptp.binintersectSubset2 @t471)) 0.47/0.85 (define @t473 () (=> tptp.binintersectLsub @t472)) 0.47/0.85 (define @t474 () (=> tptp.binintersectEL @t473)) 0.47/0.85 (define @t475 () (=> tptp.binintersectSubset5 @t474)) 0.47/0.85 (define @t476 () (=> tptp.binintersectI @t475)) 0.47/0.85 (define @t477 () (=> tptp.binunionRsub @t476)) 0.47/0.85 (define @t478 () (=> tptp.binunionLsub @t477)) 0.47/0.85 (define @t479 () (=> tptp.binunionE @t478)) 0.47/0.85 (define @t480 () (=> tptp.binunionEcases @t479)) 0.47/0.85 (define @t481 () (=> tptp.binunionIR @t480)) 0.47/0.85 (define @t482 () (=> tptp.upairset2IR @t481)) 0.47/0.85 (define @t483 () (=> tptp.binunionIL @t482)) 0.47/0.85 (define @t484 () (=> tptp.sepSubset @t483)) 0.47/0.85 (define @t485 () (=> tptp.sepInPowerset @t484)) 0.47/0.85 (define @t486 () (=> tptp.powersetsubset @t485)) 0.47/0.85 (define @t487 () (=> tptp.inPowerset @t486)) 0.47/0.85 (define @t488 () (=> tptp.powersetE1 @t487)) 0.47/0.85 (define @t489 () (=> tptp.powersetI1 @t488)) 0.47/0.85 (define @t490 () (=> tptp.subsetemptysetimpeq @t489)) 0.47/0.85 (define @t491 () (=> tptp.setextsub @t490)) 0.47/0.85 (define @t492 () (=> tptp.subset2powerset @t491)) 0.47/0.85 (define @t493 () (=> tptp.setadjoinSub2 @t492)) 0.47/0.85 (define @t494 () (=> tptp.setadjoinSub @t493)) 0.47/0.85 (define @t495 () (=> tptp.subsetTrans @t494)) 0.47/0.85 (define @t496 () (=> tptp.subsetRefl @t495)) 0.47/0.85 (define @t497 () (=> tptp.notequalI2 @t496)) 0.47/0.85 (define @t498 () (=> tptp.notequalI1 @t497)) 0.47/0.85 (define @t499 () (=> tptp.notsubsetI @t498)) 0.47/0.85 (define @t500 () (=> tptp.subsetE2 @t499)) 0.47/0.85 (define @t501 () (=> tptp.subsetE @t500)) 0.47/0.85 (define @t502 () (=> tptp.emptysetsubset @t501)) 0.47/0.85 (define @t503 () (=> tptp.subsetI2 @t502)) 0.47/0.85 (define @t504 () (=> tptp.eqimpsubset1 @t503)) 0.47/0.85 (define @t505 () (=> tptp.eqimpsubset2 @t504)) 0.47/0.85 (define @t506 () (=> tptp.subsetI1 @t505)) 0.47/0.85 (define @t507 () (=> tptp.dsetconstr__Cong @t506)) 0.47/0.85 (define @t508 () (=> tptp.descr__Cong @t507)) 0.47/0.85 (define @t509 () (=> tptp.exuEu @t508)) 0.47/0.85 (define @t510 () (=> tptp.omega__Cong @t509)) 0.47/0.85 (define @t511 () (=> tptp.setunion__Cong @t510)) 0.47/0.85 (define @t512 () (=> tptp.powerset__Cong @t511)) 0.47/0.85 (define @t513 () (=> tptp.setadjoin__Cong @t512)) 0.47/0.85 (define @t514 () (=> tptp.emptyset__Cong @t513)) 0.47/0.85 (define @t515 () (=> tptp.exu__Cong @t514)) 0.47/0.85 (define @t516 () (=> tptp.exuE3u @t515)) 0.47/0.85 (define @t517 () (=> tptp.in__Cong @t516)) 0.47/0.85 (define @t518 () (=> tptp.inCongP @t517)) 0.47/0.85 (define @t519 () (=> tptp.exuI2 @t518)) 0.47/0.85 (define @t520 () (=> tptp.exuI3 @t519)) 0.47/0.85 (define @t521 () (=> tptp.exuI1 @t520)) 0.47/0.85 (define @t522 () (=> tptp.notdallE @t521)) 0.47/0.85 (define @t523 () (=> tptp.notdexE @t522)) 0.47/0.85 (define @t524 () (=> tptp.prop2set2propI @t523)) 0.47/0.85 (define @t525 () (=> tptp.prop2setI @t524)) 0.47/0.85 (define @t526 () (=> tptp.quantDeMorgan4 @t525)) 0.47/0.85 (define @t527 () (=> tptp.quantDeMorgan3 @t526)) 0.47/0.85 (define @t528 () (=> tptp.quantDeMorgan2 @t527)) 0.47/0.85 (define @t529 () (=> tptp.quantDeMorgan1 @t528)) 0.47/0.85 (define @t530 () (=> tptp.vacuousDall @t529)) 0.47/0.85 (define @t531 () (=> tptp.emptyE1 @t530)) 0.47/0.85 (define @t532 () (=> tptp.upairsetIR @t531)) 0.47/0.85 (define @t533 () (=> tptp.upairsetIL @t532)) 0.47/0.85 (define @t534 () (=> tptp.upairsetE @t533)) 0.47/0.85 (define @t535 () (=> tptp.singletonsswitch @t534)) 0.47/0.85 (define @t536 () (=> tptp.eqinunit @t535)) 0.47/0.85 (define @t537 () (=> tptp.notinsingleton @t536)) 0.47/0.85 (define @t538 () (=> tptp.uniqinunit @t537)) 0.47/0.85 (define @t539 () (=> tptp.nonemptyImpWitness @t538)) 0.47/0.85 (define @t540 () (=> tptp.exuE2 @t539)) 0.47/0.85 (define @t541 () (=> tptp.subPowSU @t540)) 0.47/0.85 (define @t542 () (=> tptp.setunionE @t541)) 0.47/0.85 (define @t543 () (=> tptp.setunionI @t542)) 0.47/0.85 (define @t544 () (=> tptp.powersetE @t543)) 0.47/0.85 (define @t545 () (=> tptp.emptyInPowerset @t544)) 0.47/0.85 (define @t546 () (=> tptp.emptyinPowerset @t545)) 0.47/0.85 (define @t547 () (=> tptp.powersetI @t546)) 0.47/0.85 (define @t548 () (=> tptp.setoftrueEq @t547)) 0.47/0.85 (define @t549 () (=> tptp.setadjoinOr @t548)) 0.47/0.85 (define @t550 () (=> tptp.setadjoinE @t549)) 0.47/0.85 (define @t551 () (=> tptp.setadjoinIR @t550)) 0.47/0.85 (define @t552 () (=> tptp.emptyinunitempty @t551)) 0.47/0.85 (define @t553 () (=> tptp.setadjoinIL @t552)) 0.47/0.85 (define @t554 () (=> tptp.nonemptyI1 @t553)) 0.47/0.85 (define @t555 () (=> tptp.nonemptyI @t554)) 0.47/0.85 (define @t556 () (=> tptp.nonemptyE1 @t555)) 0.47/0.85 (define @t557 () (=> tptp.setbeta @t556)) 0.47/0.85 (define @t558 () (=> tptp.noeltsimpempty @t557)) 0.47/0.85 (define @t559 () (=> tptp.emptyI @t558)) 0.47/0.85 (define @t560 () (=> tptp.setext @t559)) 0.47/0.85 (define @t561 () (=> tptp.exuE3e @t560)) 0.47/0.85 (define @t562 () (=> tptp.notinemptyset @t561)) 0.47/0.85 (define @t563 () (=> tptp.emptysetimpfalse @t562)) 0.47/0.85 (define @t564 () (=> tptp.emptysetE @t563)) 0.47/0.85 (define @t565 () (=> tptp.prop2setE @t564)) 0.47/0.85 (define @t566 () (=> tptp.exuE1 @t565)) 0.47/0.85 (define @t567 () (=> tptp.dsetconstrER @t566)) 0.47/0.85 (define @t568 () (=> tptp.dsetconstrEL @t567)) 0.47/0.85 (define @t569 () (=> tptp.dsetconstrI @t568)) 0.47/0.85 (define @t570 () (=> tptp.descrp @t569)) 0.47/0.85 (define @t571 () (=> tptp.wellorderingAx @t570)) 0.47/0.85 (define @t572 () (=> tptp.foundationAx @t571)) 0.47/0.85 (define @t573 () (=> tptp.replAx @t572)) 0.47/0.85 (define @t574 () (=> tptp.omegaIndAx @t573)) 0.47/0.85 (define @t575 () (=> tptp.omegaSAx @t574)) 0.47/0.85 (define @t576 () (=> tptp.omega0Ax @t575)) 0.47/0.85 (define @t577 () (=> tptp.setunionAx @t576)) 0.47/0.85 (define @t578 () (=> tptp.powersetAx @t577)) 0.47/0.85 (define @t579 () (=> tptp.setadjoinAx @t578)) 0.47/0.85 (define @t580 () (=> tptp.emptysetAx @t579)) 0.47/0.85 (define @t581 () (=> tptp.setextAx @t580)) 0.47/0.85 (define @t582 () (not @t581)) 0.47/0.85 (define @t583 () (lambda @t57 @t65)) 0.47/0.85 (define @t584 () (lambda @t8 (not (= @t4 tptp.emptyset)))) 0.47/0.85 (define @t585 () (lambda @t95 @t165)) 0.47/0.85 (define @t586 () (lambda @t127 (_ @t135 @t155))) 0.47/0.85 (define @t587 () (@var "BOUND_VARIABLE_15176" $$unsorted)) 0.47/0.85 (define @t588 () (@var "BOUND_VARIABLE_15174" $$unsorted)) 0.47/0.85 (define @t589 () (tptp.in (tptp.binintersect @t160 @t588) (tptp.powerset (tptp.binintersect (tptp.binunion @t160 @t587) (tptp.binunion @t588 @t587))))) 0.47/0.85 (define @t590 () (tptp.powerset @t2)) 0.47/0.85 (define @t591 () (not (tptp.in @t587 @t590))) 0.47/0.85 (define @t592 () (not (tptp.in @t588 @t590))) 0.47/0.85 (define @t593 () (tptp.in @t160 @t590)) 0.47/0.85 (define @t594 () (not @t593)) 0.47/0.85 (define @t595 () (or @t592 @t591 @t589)) 0.47/0.85 (define @t596 () (or @t594 @t595)) 0.47/0.85 (define @t597 () (forall (@list @t2 @t160 @t588 @t587) @t596)) 0.47/0.85 (define @t598 () (@list @t588 @t587)) 0.47/0.85 (define @t599 () (forall @t598 @t596)) 0.47/0.85 (define @t600 () (forall @t598 @t595)) 0.47/0.85 (define @t601 () (@var "BOUND_VARIABLE_15153" $$unsorted)) 0.47/0.85 (define @t602 () (or @t594 @t600)) 0.47/0.85 (define @t603 () (tptp.binintersect @t160 @t237)) 0.47/0.85 (define @t604 () (tptp.in @t603 (tptp.powerset (tptp.binintersect (tptp.binunion @t160 @t601) (tptp.binunion @t237 @t601))))) 0.47/0.85 (define @t605 () (not (tptp.in @t601 @t590))) 0.47/0.85 (define @t606 () (tptp.in @t237 @t590)) 0.47/0.85 (define @t607 () (not @t606)) 0.47/0.85 (define @t608 () (or @t607 @t605 @t604)) 0.47/0.85 (define @t609 () (@list @t237 @t601)) 0.47/0.85 (define @t610 () (forall @t609 @t608)) 0.47/0.85 (define @t611 () (not @t243)) 0.47/0.85 (define @t612 () (or @t611 @t610)) 0.47/0.85 (define @t613 () (or @t605 @t604)) 0.47/0.85 (define @t614 () (or @t607 @t613)) 0.47/0.85 (define @t615 () (forall @t609 @t614)) 0.47/0.85 (define @t616 () (@list @t601)) 0.47/0.85 (define @t617 () (forall @t616 @t614)) 0.47/0.85 (define @t618 () (forall @t616 @t613)) 0.47/0.85 (define @t619 () (or @t607 @t618)) 0.47/0.85 (define @t620 () (tptp.binunion @t237 @t272)) 0.47/0.85 (define @t621 () (tptp.binunion @t160 @t272)) 0.47/0.85 (define @t622 () (tptp.binintersect @t621 @t620)) 0.47/0.85 (define @t623 () (tptp.powerset @t622)) 0.47/0.85 (define @t624 () (tptp.in @t603 @t623)) 0.47/0.85 (define @t625 () (tptp.in @t272 @t590)) 0.47/0.85 (define @t626 () (forall @t276 (or (not @t625) @t624))) 0.47/0.85 (define @t627 () (not @t241)) 0.47/0.85 (define @t628 () (or @t627 @t626)) 0.47/0.85 (define @t629 () (not @t275)) 0.47/0.85 (define @t630 () (or @t629 @t280)) 0.47/0.85 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) 0.47/0.85 (assume @p2 (= tptp.emptysetAx @t11)) 0.47/0.85 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) 0.47/0.85 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) 0.47/0.85 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) 0.47/0.85 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) 0.47/0.85 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) 0.47/0.85 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) 0.47/0.85 (assume @p9 (= tptp.replAx (forall (@list @t35 @t2) (=> (forall @t8 (=> @t7 (_ tptp.exu (lambda @t36 @t37)))) (exists @t27 (forall @t8 (= @t6 (exists @t36 (and @t14 (_ (_ @t35 @t12) @t4)))))))))) 0.47/0.85 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t38 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) 0.47/0.85 (assume @p11 (= tptp.wellorderingAx (forall @t34 (exists @t27 (and (forall @t47 (=> @t49 @t46)) (forall @t51 (=> (and @t7 @t14) (=> (forall @t47 (=> @t49 (= @t44 @t43))) @t50))) (forall (@list @t42 @t40) (=> (and @t49 @t45) (or (forall @t8 (=> @t44 @t48)) (forall @t8 (=> @t48 @t44))))) (forall @t47 (=> (and @t46 (exists @t8 @t44)) (exists (@list @t40 @t4) (and @t45 @t44 (not (exists @t36 (and @t41 @t43))) (forall (@list @t39) (=> (_ (_ tptp.in @t39) @t1) (or (forall @t36 (=> (_ @t13 @t39) @t41)) (_ @t5 @t39))))))))))))) 0.47/0.85 (assume @p12 (= tptp.descrp (forall @t57 (=> @t56 (_ @t52 @t55))))) 0.47/0.85 (assume @p13 (= tptp.dsetconstrI (forall @t63 (=> @t7 (=> @t53 @t62))))) 0.47/0.85 (assume @p14 (= tptp.dsetconstrEL (forall @t63 (=> @t62 @t7)))) 0.47/0.85 (assume @p15 (= tptp.dsetconstrER (forall @t63 (=> @t62 @t53)))) 0.47/0.85 (assume @p16 (= tptp.exuE1 (forall @t57 (=> @t56 @t65)))) 0.47/0.85 (assume @p17 (= tptp.prop2setE (forall @t68 (=> (_ @t5 @t67) @t66)))) 0.47/0.85 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t69 @t66))))) 0.47/0.85 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) 0.47/0.85 (assume @p20 (= tptp.notinemptyset @t11)) 0.47/0.85 (assume @p21 (= tptp.exuE3e (forall @t57 (=> @t56 @t70)))) 0.47/0.85 (assume @p22 (= tptp.setext (forall @t9 (=> @t72 (=> @t22 @t3))))) 0.47/0.85 (assume @p23 (= tptp.emptyI @t75)) 0.47/0.85 (assume @p24 (= tptp.noeltsimpempty @t75)) 0.47/0.85 (assume @p25 (= tptp.setbeta (forall @t63 (=> @t7 (= @t62 @t53))))) 0.47/0.85 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t76 @t38)))) 0.47/0.85 (assume @p27 (= tptp.nonemptyI (forall @t63 (=> @t7 (=> @t53 (_ tptp.nonempty @t61)))))) 0.47/0.85 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t38 @t76)))) 0.47/0.85 (assume @p29 (= tptp.setadjoinIL (forall @t51 (_ @t5 (_ @t17 @t12))))) 0.47/0.85 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) 0.47/0.85 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) 0.47/0.85 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t69 (=> (=> @t15 @t66) (=> (=> @t14 @t66) @t66))))))) 0.47/0.85 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) 0.47/0.85 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t60 (lambda @t8 true)) @t2)))) 0.47/0.85 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) 0.47/0.85 (assume @p36 (= tptp.emptyinPowerset @t77)) 0.47/0.85 (assume @p37 (= tptp.emptyInPowerset @t77)) 0.47/0.85 (assume @p38 (= tptp.powersetE (forall @t78 (=> @t25 @t21)))) 0.47/0.85 (assume @p39 (= tptp.setunionI (forall @t79 (=> @t6 (=> @t26 @t29))))) 0.47/0.85 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t69 (=> (forall @t27 (=> @t6 (=> @t26 @t66))) @t66)))))) 0.47/0.85 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) 0.47/0.85 (assume @p42 (= tptp.exuE2 (forall @t57 (=> @t56 @t80)))) 0.47/0.85 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t76 (exists @t8 (and @t7 true)))))) 0.47/0.85 (assume @p44 (= tptp.uniqinunit (forall @t51 (=> @t83 @t50)))) 0.47/0.85 (assume @p45 (= tptp.notinsingleton (forall @t51 (=> (not @t50) (not @t85))))) 0.47/0.85 (assume @p46 (= tptp.eqinunit (forall @t51 (=> @t50 @t83)))) 0.47/0.85 (assume @p47 (= tptp.singletonsswitch (forall @t51 (=> @t83 @t85)))) 0.47/0.85 (assume @p48 (= tptp.upairsetE @t91)) 0.47/0.85 (assume @p49 (= tptp.upairsetIL (forall @t51 (_ @t5 @t89)))) 0.47/0.85 (assume @p50 (= tptp.upairsetIR @t92)) 0.47/0.85 (assume @p51 (= tptp.emptyE1 (forall @t95 (=> @t94 (=> (= @t93 tptp.emptyset) false))))) 0.47/0.85 (assume @p52 (= tptp.vacuousDall (forall (@list @t52 @t4) (=> @t10 @t53)))) 0.47/0.85 (assume @p53 (= tptp.quantDeMorgan1 @t99)) 0.47/0.85 (assume @p54 (= tptp.quantDeMorgan2 (forall @t95 (=> @t101 @t100)))) 0.47/0.85 (assume @p55 (= tptp.quantDeMorgan3 @t102)) 0.47/0.85 (assume @p56 (= tptp.quantDeMorgan4 (forall @t95 (=> @t97 @t98)))) 0.47/0.85 (assume @p57 (= tptp.prop2setI (forall @t69 (=> @t66 (_ @t31 @t67))))) 0.47/0.85 (assume @p58 (= tptp.prop2set2propI (forall @t69 (=> @t66 (_ tptp.set2prop @t67))))) 0.47/0.85 (assume @p59 (= tptp.notdexE @t102)) 0.47/0.85 (assume @p60 (= tptp.notdallE @t99)) 0.47/0.85 (assume @p61 (= tptp.exuI1 (forall @t57 (=> @t65 @t56)))) 0.47/0.85 (assume @p62 (= tptp.exuI3 (forall @t57 (=> @t70 (=> @t104 @t56))))) 0.47/0.85 (assume @p63 (= tptp.exuI2 (forall @t57 (=> @t80 @t56)))) 0.47/0.85 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t51 (=> @t50 (=> @t7 @t105))))))) 0.47/0.85 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t51 (=> @t50 (= @t7 @t105))))))) 0.47/0.85 (assume @p66 (= tptp.exuE3u @t106)) 0.47/0.85 (assume @p67 (= tptp.exu__Cong (forall @t112 (=> @t111 (= @t56 @t109))))) 0.47/0.85 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) 0.47/0.85 (assume @p69 (= tptp.setadjoin__Cong (forall @t51 (=> @t50 (forall @t115 (=> @t114 (= (_ @t17 @t86) (_ @t81 @t113)))))))) 0.47/0.85 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t116))))) 0.47/0.85 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) 0.47/0.85 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) 0.47/0.85 (assume @p73 (= tptp.exuEu @t106)) 0.47/0.85 (assume @p74 (= tptp.descr__Cong (forall @t112 (=> @t111 (=> @t56 (=> @t109 (= @t55 (_ tptp.descr @t108)))))))) 0.47/0.85 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t112 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 @t110)))) (= @t93 (_ @t117 @t108)))))))) 0.47/0.85 (assume @p76 (= tptp.subsetI1 @t120)) 0.47/0.85 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t122)))) 0.47/0.85 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t119)))) 0.47/0.85 (assume @p79 (= tptp.subsetI2 @t120)) 0.47/0.85 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) 0.47/0.85 (assume @p81 (= tptp.subsetE (forall @t78 (=> @t119 @t71)))) 0.47/0.85 (assume @p82 (= tptp.subsetE2 (forall @t78 (=> @t119 @t124)))) 0.47/0.85 (assume @p83 (= tptp.notsubsetI (forall @t78 (=> @t7 (=> @t123 @t125))))) 0.47/0.85 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t125 @t126)))) 0.47/0.85 (assume @p85 (= tptp.notequalI2 (forall @t78 (=> @t7 (=> @t123 @t126))))) 0.47/0.85 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t118 @t2)))) 0.47/0.85 (assume @p87 (= tptp.subsetTrans (forall @t127 (=> @t119 (=> (_ @t121 @t42) (_ @t118 @t42)))))) 0.47/0.85 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t118 @t18)))) 0.47/0.85 (assume @p89 (= tptp.setadjoinSub2 (forall @t79 (=> @t119 (_ @t118 (_ @t17 @t1)))))) 0.47/0.85 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t119 (_ @t128 @t116))))) 0.47/0.85 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t119 (=> @t122 @t3))))) 0.47/0.85 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t118 tptp.emptyset) @t73)))) 0.47/0.85 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t122 @t25)))) 0.47/0.85 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t122)))) 0.47/0.85 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t128 @t23)))) 0.47/0.85 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t119 (_ (_ tptp.subset @t23) @t116))))) 0.47/0.85 (assume @p97 (= tptp.sepInPowerset (forall @t95 (_ (_ tptp.in @t93) @t23)))) 0.47/0.85 (assume @p98 (= tptp.sepSubset (forall @t95 (_ (_ tptp.subset @t93) @t2)))) 0.47/0.85 (assume @p99 (= tptp.binunionIL (forall @t78 (=> @t7 @t130)))) 0.47/0.85 (assume @p100 (= tptp.upairset2IR @t92)) 0.47/0.85 (assume @p101 (= tptp.binunionIR (forall @t78 (=> @t6 @t130)))) 0.47/0.85 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t66) (=> @t130 (=> (=> @t7 @t66) (=> @t131 @t66)))))) 0.47/0.85 (assume @p103 (= tptp.binunionE (forall @t78 (=> @t130 (or @t7 @t6))))) 0.47/0.85 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t118 @t129)))) 0.47/0.85 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t121 @t129)))) 0.47/0.85 (assume @p106 (= tptp.binintersectI (forall @t78 (=> @t7 (=> @t6 @t134))))) 0.47/0.85 (assume @p107 (= tptp.binintersectSubset5 (forall @t127 (=> (_ @t135 @t2) (=> (_ @t135 @t1) (_ @t135 @t133)))))) 0.47/0.85 (assume @p108 (= tptp.binintersectEL (forall @t78 (=> @t134 @t7)))) 0.47/0.85 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t136 @t2)))) 0.47/0.85 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t119 @t137)))) 0.47/0.85 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t138 @t122)))) 0.47/0.85 (assume @p112 (= tptp.binintersectER (forall @t78 (=> @t134 @t6)))) 0.47/0.85 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t133 tptp.emptyset))))) 0.47/0.85 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t136 @t1)))) 0.47/0.85 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t122 @t138)))) 0.47/0.85 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t137 @t119)))) 0.47/0.85 (assume @p117 (= tptp.bs114d (forall @t127 (= (_ @t132 (_ (_ tptp.binunion @t1) @t42)) (_ (_ tptp.binunion @t133) (_ @t132 @t42)))))) 0.47/0.85 (assume @p118 (= tptp.setminusI (forall @t78 (=> @t7 (=> @t123 @t141))))) 0.47/0.85 (assume @p119 (= tptp.setminusEL (forall @t78 (=> @t141 @t7)))) 0.47/0.85 (assume @p120 (= tptp.setminusER (forall @t78 (=> @t141 @t123)))) 0.47/0.85 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t119 @t142)))) 0.47/0.85 (assume @p122 (= tptp.setminusERneg (forall @t78 (=> @t143 @t71)))) 0.47/0.85 (assume @p123 (= tptp.setminusELneg (forall @t78 (=> @t143 @t124)))) 0.47/0.85 (assume @p124 (= tptp.setminusILneg (forall @t78 (=> @t74 @t143)))) 0.47/0.85 (assume @p125 (= tptp.setminusIRneg (forall @t78 (=> @t6 @t143)))) 0.47/0.85 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t140) @t2)))) 0.47/0.85 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t142 @t119)))) 0.47/0.85 (assume @p128 (= tptp.symdiffE (forall @t78 (=> @t144 (forall @t69 (=> (=> @t7 (=> @t123 @t66)) (=> (=> @t74 @t131) @t66))))))) 0.47/0.85 (assume @p129 (= tptp.symdiffI1 (forall @t78 (=> @t7 (=> @t123 @t144))))) 0.47/0.85 (assume @p130 (= tptp.symdiffI2 (forall @t78 (=> @t74 (=> @t6 @t144))))) 0.47/0.85 (assume @p131 (= tptp.symdiffIneg1 (forall @t78 (=> @t7 (=> @t6 @t145))))) 0.47/0.85 (assume @p132 (= tptp.symdiffIneg2 (forall @t78 (=> @t74 (=> @t123 @t145))))) 0.47/0.85 (assume @p133 (= tptp.secondinupair @t92)) 0.47/0.85 (assume @p134 (= tptp.setukpairIL (forall @t51 (_ @t5 @t148)))) 0.47/0.85 (assume @p135 (= tptp.setukpairIR (forall @t51 (_ @t13 @t148)))) 0.47/0.85 (assume @p136 (= tptp.kpairiskpair (forall @t51 (_ tptp.iskpair @t147)))) 0.47/0.85 (assume @p137 (= tptp.kpairp (forall @t51 (_ tptp.iskpair @t150)))) 0.47/0.85 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t84) @t2))))) 0.47/0.85 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t151 @t23))))) 0.47/0.85 (assume @p140 (= tptp.singletoninpowunion (forall @t78 (=> @t7 (_ @t151 @t152))))) 0.47/0.85 (assume @p141 (= tptp.upairset2E @t91)) 0.47/0.85 (assume @p142 (= tptp.upairsubunion (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.subset @t89) @t129))))))) 0.47/0.85 (assume @p143 (= tptp.upairinpowunion (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.in @t89) @t152))))))) 0.47/0.85 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.subset @t147) @t152))))))) 0.47/0.85 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.in @t147) @t153))))))) 0.47/0.85 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ @t154 @t153))))))) 0.47/0.85 (assume @p147 (= tptp.cartprodpairin (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t156)))))) 0.47/0.85 (assume @p148 (= tptp.cartprodmempair1 (forall @t158 (=> @t157 (exists @t8 (and @t7 (exists @t36 (and @t105 (= @t113 @t150))))))))) 0.47/0.85 (assume @p149 (= tptp.cartprodmempair (forall @t158 (=> @t157 @t159)))) 0.47/0.85 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t163 (and (_ @t162 @t2) @t161)))))) 0.47/0.85 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t164) @t2)))) 0.47/0.85 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t118 @t164)))) 0.47/0.85 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t84) @t4)))) 0.47/0.85 (assume @p154 (= tptp.singletonprop (forall @t95 (=> @t166 (=> @t94 @t165))))) 0.47/0.85 (assume @p155 (= tptp.ex1E1 (forall @t95 (=> @t168 @t94)))) 0.47/0.85 (assume @p156 (= tptp.ex1I (forall @t63 (=> @t7 (=> @t53 (=> (forall @t36 (=> @t14 (=> @t58 @t15))) (_ @t167 @t59))))))) 0.47/0.85 (assume @p157 (= tptp.ex1I2 (forall @t95 (=> @t166 (=> @t94 @t168))))) 0.47/0.85 (assume @p158 (= tptp.singletonsuniq (forall @t51 (=> (= @t84 @t82) @t50)))) 0.47/0.85 (assume @p159 (= tptp.setukpairinjL1 (forall @t90 (=> (_ (_ tptp.in @t171) @t147) @t169)))) 0.47/0.85 (assume @p160 (= tptp.kfstsingleton (forall @t173 (=> @t159 (_ tptp.singleton (_ @t172 (lambda @t8 (_ @t151 @t113)))))))) 0.47/0.85 (assume @p161 (= tptp.theprop (forall @t163 (=> @t175 (_ (_ tptp.in @t174) @t160))))) 0.47/0.85 (assume @p162 (= tptp.kfstpairEq (forall @t51 @t176))) 0.47/0.85 (assume @p163 (= tptp.cartprodfstin (forall @t158 (=> @t157 (_ (_ tptp.in @t177) @t2))))) 0.47/0.85 (assume @p164 (= tptp.setukpairinjL2 (forall @t179 (=> @t178 @t169)))) 0.47/0.85 (assume @p165 (= tptp.setukpairinjL (forall @t179 (=> @t180 @t169)))) 0.47/0.85 (assume @p166 (= tptp.setukpairinjR11 (forall @t51 (=> @t50 (= @t89 @t84))))) 0.47/0.85 (assume @p167 (= tptp.setukpairinjR12 (forall @t51 (=> @t50 (= @t147 (_ @t146 tptp.emptyset)))))) 0.47/0.85 (assume @p168 (= tptp.setukpairinjR1 (forall @t179 (=> @t178 (=> @t114 @t181))))) 0.47/0.85 (assume @p169 (= tptp.upairequniteq (forall @t90 (=> (= @t89 @t171) @t50)))) 0.47/0.85 (assume @p170 (= tptp.setukpairinjR2 (forall @t179 (=> @t178 @t181)))) 0.47/0.85 (assume @p171 (= tptp.setukpairinjR (forall @t179 (=> @t180 @t181)))) 0.47/0.85 (assume @p172 (= tptp.ksndsingleton (forall @t173 (=> @t159 (_ tptp.singleton (_ @t172 (lambda @t8 (= @t113 (_ @t182 @t4))))))))) 0.47/0.85 (assume @p173 (= tptp.ksndpairEq (forall @t51 @t183))) 0.47/0.85 (assume @p174 (= tptp.kpairsurjEq (forall @t173 (=> @t159 @t185)))) 0.47/0.85 (assume @p175 (= tptp.cartprodsndin (forall @t158 (=> @t157 (_ (_ tptp.in @t184) @t1))))) 0.47/0.85 (assume @p176 (= tptp.cartprodpairmemEL (forall @t186 (=> @t156 @t7)))) 0.47/0.85 (assume @p177 (= tptp.cartprodpairmemER (forall @t186 (=> @t156 @t105)))) 0.47/0.85 (assume @p178 (= tptp.cartprodmempaircEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 (= @t150 @t150))))))) 0.47/0.85 (assume @p179 (= tptp.cartprodfstpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t176)))))) 0.47/0.85 (assume @p180 (= tptp.cartprodsndpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t183)))))) 0.47/0.85 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t158 (=> @t157 @t185)))) 0.47/0.85 (assume @p182 (= tptp.dpsetconstrI (forall @t189 (=> @t7 (forall @t36 (=> @t105 (=> @t37 @t188))))))) 0.47/0.85 (assume @p183 (= tptp.dpsetconstrSub (forall @t191 (_ (_ tptp.subset @t190) @t155)))) 0.47/0.85 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t191 (_ @t192 @t190)))) 0.47/0.85 (assume @p185 (= tptp.dpsetconstrERa (forall @t189 (=> @t7 (forall @t36 (=> @t105 @t193)))))) 0.47/0.85 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t194 (=> @t188 @t7)))) 0.47/0.85 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t194 (=> @t188 @t105)))) 0.47/0.85 (assume @p188 (= tptp.dpsetconstrER (forall @t194 @t193))) 0.47/0.85 (assume @p189 (= tptp.funcImageSingleton (forall @t200 (=> @t199 (forall @t8 (=> @t7 (_ tptp.singleton @t197))))))) 0.47/0.85 (assume @p190 (= tptp.apProp (forall @t200 (=> @t199 (forall @t8 (=> @t7 (_ (_ tptp.in (_ tptp.setunion @t197)) @t1))))))) 0.47/0.85 (assume @p191 (= tptp.app (forall @t200 (=> @t199 @t203)))) 0.47/0.85 (assume @p192 (= tptp.infuncsetfunc (forall @t200 (=> @t205 @t199)))) 0.47/0.85 (assume @p193 (= tptp.ap2p (forall @t200 (=> @t205 @t203)))) 0.47/0.85 (assume @p194 (= tptp.funcinfuncset (forall @t200 (=> @t199 @t205)))) 0.47/0.85 (assume @p195 (= tptp.lamProp (forall @t209 (=> @t208 (_ @t198 (_ @t187 (lambda @t51 (= @t207 @t12)))))))) 0.47/0.85 (assume @p196 (= tptp.lamp (forall @t209 (=> @t208 (_ @t198 @t211))))) 0.47/0.85 (assume @p197 (= tptp.lam2p (forall @t209 (=> @t208 (_ (_ tptp.in @t211) @t204))))) 0.47/0.85 (assume @p198 (= tptp.brelnall1 @t216)) 0.47/0.85 (assume @p199 (= tptp.brelnall2 @t216)) 0.47/0.85 (assume @p200 (= tptp.ex1E2 (forall @t95 (=> @t168 @t166)))) 0.47/0.85 (assume @p201 (= tptp.funcGraphProp1 (forall @t200 (=> @t199 @t217)))) 0.47/0.85 (assume @p202 (= tptp.funcGraphProp3 (forall @t200 (=> @t205 @t217)))) 0.47/0.85 (assume @p203 (= tptp.funcGraphProp2 (forall @t200 (=> @t199 @t218)))) 0.47/0.85 (assume @p204 (= tptp.funcextLem (forall @t200 (=> @t199 (forall @t222 (=> @t221 (=> @t220 (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> (_ @t154 @t219) @t196)))))))))))) 0.47/0.85 (assume @p205 (= tptp.funcGraphProp4 (forall @t200 (=> @t205 @t218)))) 0.47/0.85 (assume @p206 (= tptp.subbreln (forall @t215 (=> @t214 (forall @t227 (=> @t226 (=> @t225 (_ (_ tptp.subset @t212) @t223)))))))) 0.47/0.85 (assume @p207 (= tptp.eqbreln (forall @t215 (=> @t214 (forall @t227 (=> @t226 (=> @t225 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t224 @t213))))) (= @t212 @t223))))))))) 0.47/0.85 (assume @p208 (= tptp.funcext (forall @t200 (=> @t199 (forall @t222 (=> @t221 @t228)))))) 0.47/0.85 (assume @p209 (= tptp.funcext2 (forall @t200 (=> @t205 (forall @t222 (=> (_ (_ tptp.in @t219) @t204) @t228)))))) 0.47/0.85 (assume @p210 (= tptp.ap2apEq1 (forall @t200 (=> @t205 @t229)))) 0.47/0.85 (assume @p211 (= tptp.ap2apEq2 (forall @t200 (=> @t199 @t229)))) 0.47/0.85 (assume @p212 (= tptp.beta1 @t230)) 0.47/0.85 (assume @p213 (= tptp.eta1 (forall @t200 (=> @t199 @t231)))) 0.47/0.85 (assume @p214 (= tptp.lam2lamEq (forall @t209 (=> @t208 (= @t211 @t211))))) 0.47/0.85 (assume @p215 (= tptp.beta2 @t230)) 0.47/0.85 (assume @p216 (= tptp.eta2 (forall @t200 (=> @t205 @t231)))) 0.47/0.85 (assume @p217 (= tptp.iffalseProp1 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (_ @t13 @t233)))))))) 0.47/0.85 (assume @p218 (= tptp.iffalseProp2 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (= @t233 @t82)))))))) 0.47/0.85 (assume @p219 (= tptp.iftrueProp1 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (_ @t5 @t233)))))))) 0.47/0.85 (assume @p220 (= tptp.iftrueProp2 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (= @t233 @t84)))))))) 0.47/0.85 (assume @p221 (= tptp.ifSingleton (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ tptp.singleton @t233))))))) 0.47/0.85 (assume @p222 (= tptp.ifp (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ @t236 @t2))))))) 0.47/0.85 (assume @p223 (= tptp.theeq (forall @t163 (=> @t175 (forall @t8 (=> @t161 (= @t174 @t4))))))) 0.47/0.85 (assume @p224 (= tptp.iftrue (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (= @t235 @t4)))))))) 0.47/0.85 (assume @p225 (= tptp.iffalse (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (= @t235 @t12)))))))) 0.47/0.85 (assume @p226 (= tptp.iftrueorfalse (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ @t236 @t89))))))) 0.47/0.85 (assume @p227 (= tptp.binintersectT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ @t239 @t23))))))) 0.47/0.85 (assume @p228 (= tptp.binunionT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in @t246) @t23))))))) 0.47/0.85 (assume @p229 (= tptp.powersetT_lem (forall @t244 (=> @t243 (_ (_ tptp.in (_ tptp.powerset @t160)) (_ tptp.powerset @t23)))))) 0.47/0.85 (assume @p230 (= tptp.setminusT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in (_ (_ tptp.setminus @t160) @t237)) @t23))))))) 0.47/0.85 (assume @p231 (= tptp.complementT_lem (forall @t244 (=> @t243 (_ @t248 @t23))))) 0.47/0.85 (assume @p232 (= tptp.setextT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 (=> (forall @t8 (=> @t7 (=> @t249 @t161))) (= @t160 @t237))))))))) 0.47/0.85 (assume @p233 (= tptp.subsetTI (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 @t253))))))) 0.47/0.85 (assume @p234 (= tptp.powersetTI1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 @t254))))))) 0.47/0.85 (assume @p235 (= tptp.powersetTE1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t254 @t250))))))))) 0.47/0.85 (assume @p236 (= tptp.complementTI1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t161 @t256))))))) 0.47/0.85 (assume @p237 (= tptp.complementTE1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t256 @t161))))))) 0.47/0.85 (assume @p238 (= tptp.binintersectTELcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t259 @t258))))))))) 0.47/0.85 (assume @p239 (= tptp.binintersectTERcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t260 @t258))))))))) 0.47/0.85 (assume @p240 (= tptp.contrasubsetT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t262 (=> @t249 @t259)))))))))) 0.47/0.85 (assume @p241 (= tptp.contrasubsetT1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t253 (=> @t260 @t259)))))))))) 0.47/0.85 (assume @p242 (= tptp.contrasubsetT2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t253 @t263))))))) 0.47/0.85 (assume @p243 (= tptp.contrasubsetT3 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t263 @t253))))))) 0.47/0.85 (assume @p244 (= tptp.doubleComplementI1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t161 @t265))))))) 0.47/0.85 (assume @p245 (= tptp.doubleComplementE1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t265 @t161))))))) 0.47/0.85 (assume @p246 (= tptp.doubleComplementSub1 (forall @t244 (=> @t243 (_ @t252 @t264))))) 0.47/0.85 (assume @p247 (= tptp.doubleComplementSub2 (forall @t244 (=> @t243 (_ (_ tptp.subset @t264) @t160))))) 0.47/0.85 (assume @p248 (= tptp.doubleComplementEq (forall @t244 (=> @t243 (= @t160 @t264))))) 0.47/0.85 (assume @p249 (= tptp.complementTnotintersectT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 @t258))))))))) 0.47/0.85 (assume @p250 (= tptp.complementImpComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 @t267))))))))) 0.47/0.85 (assume @p251 (= tptp.complementSubsetComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.subset @t247) @t266))))))) 0.47/0.85 (assume @p252 (= tptp.complementInPowersetComplementIntersect @t268)) 0.47/0.85 (assume @p253 (= tptp.contraSubsetComplement (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t262 (forall @t8 (=> @t7 (=> @t249 @t255)))))))))) 0.47/0.85 (assume @p254 (= tptp.complementTcontraSubset (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t262 (_ @t269 @t247)))))))) 0.47/0.85 (assume @p255 (= tptp.binunionTILcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t271 @t259))))))))) 0.47/0.85 (assume @p256 (= tptp.binunionTIRcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t271 @t260))))))))) 0.47/0.85 (assume @p257 (= tptp.inIntersectImpInUnion (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t273)))))))))))) 0.47/0.85 (assume @p258 (= tptp.inIntersectImpInUnion2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t277)))))))))))) 0.47/0.85 (assume @p259 (= tptp.inIntersectImpInIntersectUnions (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t278)))))))))))) 0.47/0.85 (assume @p260 @t286) 0.47/0.85 (assume @p261 (= tptp.inComplementUnionImpNotIn1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t288 @t259))))))))) 0.47/0.85 (assume @p262 (= tptp.inComplementUnionImpInComplement1 @t289)) 0.47/0.85 (assume @p263 (= tptp.binunionTE (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t68 (=> @t7 (=> @t270 (=> (=> @t161 @t66) (=> (=> @t249 @t66) @t66))))))))))) 0.47/0.85 (assume @p264 (= tptp.binunionTEcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t259 (=> @t260 @t271)))))))))) 0.47/0.85 (assume @p265 (= tptp.demorgan2a1 @t289)) 0.47/0.85 (assume @p266 (= tptp.complementUnionInPowersetComplement (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in @t287) (_ tptp.powerset @t247)))))))) 0.47/0.85 (assume @p267 (= tptp.demorgan2a2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t288 @t290))))))))) 0.47/0.85 (assume @p268 (= tptp.demorgan1a (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t267 @t292))))))))) 0.47/0.85 (assume @p269 (= tptp.demorgan1b (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t292 @t267))))))))) 0.47/0.85 (assume @p270 (= tptp.demorgan1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (= @t266 @t291))))))) 0.47/0.85 (assume @p271 (= tptp.demorgan2a (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t288 @t294))))))))) 0.47/0.85 (assume @p272 (= tptp.demorgan2b2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 (=> @t290 @t288)))))))))) 0.47/0.85 (assume @p273 (= tptp.demorgan2b (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t294 @t288))))))))) 0.47/0.85 (assume @p274 (= tptp.demorgan2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (= @t287 @t293))))))) 0.47/0.85 (assume @p275 (= tptp.woz13rule0 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t257 @t7)))))))) 0.47/0.85 (assume @p276 (= tptp.woz13rule1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (=> @t297 @t296))))))))) 0.47/0.85 (assume @p277 (= tptp.woz13rule2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (=> (_ @t269 @t272) @t296))))))))) 0.47/0.85 (assume @p278 (= tptp.woz13rule3 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (=> @t253 (=> @t297 (_ @t252 (_ (_ tptp.binintersect @t237) @t272)))))))))))) 0.47/0.85 (assume @p279 (= tptp.woz13rule4 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (forall @t300 (=> @t299 (=> @t297 (=> (_ @t269 @t298) (_ @t295 (_ (_ tptp.binintersect @t272) @t298)))))))))))))) 0.47/0.85 (assume @p280 (= tptp.woz1_1 @t268)) 0.47/0.85 (assume @p281 (= tptp.woz1_2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t276 (=> @t275 (forall @t300 (=> @t299 (= (_ @t139 (_ (_ tptp.binintersect @t246) (_ (_ tptp.binunion @t272) @t298))) (_ (_ tptp.binunion @t293) (_ (_ tptp.binintersect (_ @t139 @t272)) (_ @t139 @t298)))))))))))))) 0.47/0.85 (assume @p282 @t582) 0.47/0.85 (assume @p283 true) 0.47/0.85 (step @p284 (= tptp.exu @t583) :rule refl :args (@t583)) 0.47/0.85 (step @p285 (= tptp.nonempty @t584) :rule refl :args (@t584)) 0.47/0.85 (step @p286 (= tptp.ex1 @t585) :rule refl :args (@t585)) 0.47/0.85 (step @p287 (= tptp.breln @t586) :rule refl :args (@t586)) 0.47/0.85 (step @p288 :rule aci_norm :args ((= @t596 (or @t594 @t592 @t591 @t589)))) 0.47/0.85 (step @p289 :rule cong :premises (@p288) :args (@t597)) 0.47/0.85 (step @p290 :rule quant-merge-prenex :args ((= (forall @t244 @t599) @t597))) 0.47/0.85 (step @p291 :rule alpha_equiv :args (@t600 (@list @t588 @t587) (@list @t237 @t601))) 0.47/0.85 (step @p292 :rule refl :args (@t594)) 0.47/0.85 (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t602)) 0.47/0.85 (step @p294 :rule quant-miniscope-or :args ((= @t599 @t602))) 0.47/0.85 (step @p295 :rule trans :premises (@p294 @p293)) 0.47/0.85 (step @p296 :rule symm :premises (@p295)) 0.47/0.85 (step @p297 :rule cong :premises (@p296) :args ((forall @t244 (or @t594 @t610)))) 0.47/0.85 (step @p298 :rule trans :premises (@p297 @p290)) 0.47/0.85 (step @p299 :rule trans :premises (@p298 @p289)) 0.47/0.85 (step @p300 :rule refl :args (@t610)) 0.47/0.85 (step @p301 :rule refl :args ((tptp.in @t160 @t23))) 0.47/0.85 (step @p302 :rule refl :args (@t590)) 0.47/0.85 (step @p303 :rule refl :args (@t160)) 0.47/0.85 (step @p304 :rule cong :premises (@p303 @p302) :args (@t593)) 0.47/0.85 (step @p305 :rule trans :premises (@p304 @p301)) 0.47/0.85 (step @p306 :rule refl :args (@t162)) 0.47/0.85 (step @p307 :rule ho_cong :premises (@p306 @p302)) 0.47/0.85 (step @p308 :rule cong :premises (@p307 @p305) :args ((= (_ @t162 @t590) @t593))) 0.47/0.85 (step @p309 :rule symm :premises (@p308)) 0.47/0.85 (step @p310 :rule refl :args (@t243)) 0.47/0.85 (step @p311 :rule eq_resolve :premises (@p310 @p309)) 0.47/0.85 (step @p312 :rule refl :args (@t23)) 0.47/0.85 (step @p313 :rule cong :premises (@p312 @p302) :args ((= @t23 @t590))) 0.47/0.85 (step @p314 :rule symm :premises (@p313)) 0.47/0.85 (step @p315 :rule eq_resolve :premises (@p312 @p314)) 0.47/0.85 (step @p316 :rule ho_cong :premises (@p306 @p315)) 0.47/0.85 (step @p317 :rule trans :premises (@p316 @p311)) 0.47/0.85 (step @p318 :rule cong :premises (@p317) :args (@t611)) 0.47/0.85 (step @p319 :rule nary_cong :premises (@p318 @p300) :args (@t612)) 0.47/0.85 (step @p320 :rule cong :premises (@p319) :args ((forall @t244 @t612))) 0.47/0.85 (step @p321 :rule trans :premises (@p320 @p299)) 0.47/0.85 (step @p322 :rule bool-impl-elim :args (@t243 @t610)) 0.47/0.85 (step @p323 :rule cong :premises (@p322) :args ((forall @t244 (=> @t243 @t610)))) 0.47/0.85 (step @p324 :rule trans :premises (@p323 @p321)) 0.47/0.85 (step @p325 :rule aci_norm :args ((= @t614 @t608))) 0.47/0.85 (step @p326 :rule cong :premises (@p325) :args (@t615)) 0.47/0.85 (step @p327 :rule quant-merge-prenex :args ((= (forall @t242 @t617) @t615))) 0.47/0.85 (step @p328 :rule alpha_equiv :args (@t618 (@list @t601) (@list @t272))) 0.47/0.85 (step @p329 :rule refl :args (@t607)) 0.47/0.85 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t619)) 0.47/0.85 (step @p331 :rule quant-miniscope-or :args ((= @t617 @t619))) 0.47/0.85 (step @p332 :rule trans :premises (@p331 @p330)) 0.47/0.85 (step @p333 :rule symm :premises (@p332)) 0.47/0.85 (step @p334 :rule cong :premises (@p333) :args ((forall @t242 (or @t607 @t626)))) 0.47/0.85 (step @p335 :rule trans :premises (@p334 @p327)) 0.47/0.85 (step @p336 :rule trans :premises (@p335 @p326)) 0.47/0.85 (step @p337 :rule refl :args (@t626)) 0.47/0.85 (step @p338 :rule refl :args ((tptp.in @t237 @t23))) 0.47/0.85 (step @p339 :rule refl :args (@t237)) 0.47/0.85 (step @p340 :rule cong :premises (@p339 @p302) :args (@t606)) 0.47/0.85 (step @p341 :rule trans :premises (@p340 @p338)) 0.47/0.85 (step @p342 :rule refl :args (@t240)) 0.47/0.85 (step @p343 :rule ho_cong :premises (@p342 @p302)) 0.47/0.85 (step @p344 :rule cong :premises (@p343 @p341) :args ((= (_ @t240 @t590) @t606))) 0.47/0.85 (step @p345 :rule symm :premises (@p344)) 0.47/0.85 (step @p346 :rule refl :args (@t241)) 0.47/0.85 (step @p347 :rule eq_resolve :premises (@p346 @p345)) 0.47/0.85 (step @p348 :rule ho_cong :premises (@p342 @p315)) 0.47/0.85 (step @p349 :rule trans :premises (@p348 @p347)) 0.47/0.85 (step @p350 :rule cong :premises (@p349) :args (@t627)) 0.47/0.85 (step @p351 :rule nary_cong :premises (@p350 @p337) :args (@t628)) 0.47/0.85 (step @p352 :rule cong :premises (@p351) :args ((forall @t242 @t628))) 0.47/0.85 (step @p353 :rule trans :premises (@p352 @p336)) 0.47/0.85 (step @p354 :rule bool-impl-elim :args (@t241 @t626)) 0.47/0.85 (step @p355 :rule cong :premises (@p354) :args ((forall @t242 (=> @t241 @t626)))) 0.47/0.85 (step @p356 :rule trans :premises (@p355 @p353)) 0.47/0.85 (step @p357 :rule refl :args ((tptp.in @t238 @t279))) 0.47/0.85 (step @p358 :rule refl :args ((tptp.powerset @t278))) 0.47/0.85 (step @p359 :rule refl :args ((tptp.binintersect @t273 @t277))) 0.47/0.85 (step @p360 :rule refl :args (@t620)) 0.47/0.85 (step @p361 :rule refl :args (@t621)) 0.47/0.85 (step @p362 :rule cong :premises (@p361 @p360) :args (@t622)) 0.47/0.85 (step @p363 :rule trans :premises (@p362 @p359)) 0.47/0.85 (step @p364 :rule cong :premises (@p363) :args (@t623)) 0.47/0.85 (step @p365 :rule trans :premises (@p364 @p358)) 0.47/0.85 (step @p366 :rule refl :args (@t603)) 0.47/0.85 (step @p367 :rule cong :premises (@p366 @p365) :args (@t624)) 0.47/0.85 (step @p368 :rule trans :premises (@p367 @p357)) 0.47/0.85 (step @p369 :rule refl :args (tptp.in)) 0.47/0.85 (step @p370 :rule ho_cong :premises (@p369 @p366)) 0.47/0.85 (step @p371 :rule ho_cong :premises (@p370 @p365)) 0.47/0.85 (step @p372 :rule cong :premises (@p371 @p368) :args ((= (_ (_ tptp.in @t603) @t623) @t624))) 0.47/0.85 (step @p373 :rule symm :premises (@p372)) 0.47/0.85 (step @p374 :rule refl :args (@t280)) 0.47/0.85 (step @p375 :rule eq_resolve :premises (@p374 @p373)) 0.47/0.85 (step @p376 :rule refl :args (tptp.powerset)) 0.47/0.85 (step @p377 :rule ho_cong :premises (@p376 @p363)) 0.47/0.85 (step @p378 :rule cong :premises (@p377 @p365) :args ((= (_ tptp.powerset @t622) @t623))) 0.47/0.85 (step @p379 :rule symm :premises (@p378)) 0.47/0.85 (step @p380 :rule refl :args (@t279)) 0.47/0.85 (step @p381 :rule eq_resolve :premises (@p380 @p379)) 0.47/0.85 (step @p382 :rule refl :args (tptp.binintersect)) 0.47/0.85 (step @p383 :rule ho_cong :premises (@p382 @p361)) 0.47/0.85 (step @p384 :rule ho_cong :premises (@p383 @p360)) 0.47/0.85 (step @p385 :rule cong :premises (@p384 @p363) :args ((= (_ (_ tptp.binintersect @t621) @t620) @t622))) 0.47/0.85 (step @p386 :rule symm :premises (@p385)) 0.47/0.85 (step @p387 :rule refl :args (@t278)) 0.47/0.85 (step @p388 :rule eq_resolve :premises (@p387 @p386)) 0.47/0.85 (step @p389 :rule refl :args (@t277)) 0.47/0.85 (step @p390 :rule cong :premises (@p389 @p360) :args ((= @t277 @t620))) 0.47/0.85 (step @p391 :rule symm :premises (@p390)) 0.47/0.85 (step @p392 :rule eq_resolve :premises (@p389 @p391)) 0.47/0.85 (step @p393 :rule refl :args (@t273)) 0.47/0.85 (step @p394 :rule cong :premises (@p393 @p361) :args ((= @t273 @t621))) 0.47/0.85 (step @p395 :rule symm :premises (@p394)) 0.47/0.85 (step @p396 :rule eq_resolve :premises (@p393 @p395)) 0.47/0.85 (step @p397 :rule ho_cong :premises (@p382 @p396)) 0.47/0.85 (step @p398 :rule ho_cong :premises (@p397 @p392)) 0.47/0.85 (step @p399 :rule trans :premises (@p398 @p388)) 0.47/0.85 (step @p400 :rule ho_cong :premises (@p376 @p399)) 0.47/0.85 (step @p401 :rule trans :premises (@p400 @p381)) 0.47/0.85 (step @p402 :rule refl :args (@t238)) 0.47/0.85 (step @p403 :rule cong :premises (@p402 @p366) :args ((= @t238 @t603))) 0.47/0.85 (step @p404 :rule symm :premises (@p403)) 0.47/0.85 (step @p405 :rule eq_resolve :premises (@p402 @p404)) 0.47/0.85 (step @p406 :rule ho_cong :premises (@p369 @p405)) 0.47/0.85 (step @p407 :rule ho_cong :premises (@p406 @p401)) 0.47/0.85 (step @p408 :rule trans :premises (@p407 @p375)) 0.47/0.85 (step @p409 :rule refl :args ((tptp.in @t272 @t23))) 0.47/0.85 (step @p410 :rule refl :args (@t272)) 0.47/0.85 (step @p411 :rule cong :premises (@p410 @p302) :args (@t625)) 0.47/0.85 (step @p412 :rule trans :premises (@p411 @p409)) 0.47/0.85 (step @p413 :rule refl :args (@t274)) 0.47/0.85 (step @p414 :rule ho_cong :premises (@p413 @p302)) 0.47/0.85 (step @p415 :rule cong :premises (@p414 @p412) :args ((= (_ @t274 @t590) @t625))) 0.47/0.85 (step @p416 :rule symm :premises (@p415)) 0.47/0.85 (step @p417 :rule refl :args (@t275)) 0.47/0.85 (step @p418 :rule eq_resolve :premises (@p417 @p416)) 0.47/0.85 (step @p419 :rule ho_cong :premises (@p413 @p315)) 0.47/0.85 (step @p420 :rule trans :premises (@p419 @p418)) 0.47/0.85 (step @p421 :rule cong :premises (@p420) :args (@t629)) 0.47/0.85 (step @p422 :rule nary_cong :premises (@p421 @p408) :args (@t630)) 0.47/0.85 (step @p423 :rule cong :premises (@p422) :args ((forall @t276 @t630))) 0.47/0.85 (step @p424 :rule bool-impl-elim :args (@t275 @t280)) 0.47/0.85 (step @p425 :rule cong :premises (@p424) :args (@t281)) 0.47/0.85 (step @p426 :rule trans :premises (@p425 @p423)) 0.47/0.85 (step @p427 :rule refl :args (@t241)) 0.47/0.85 (step @p428 :rule cong :premises (@p427 @p426) :args (@t282)) 0.47/0.85 (step @p429 :rule cong :premises (@p428) :args (@t283)) 0.47/0.85 (step @p430 :rule trans :premises (@p429 @p356)) 0.47/0.85 (step @p431 :rule refl :args (@t243)) 0.47/0.85 (step @p432 :rule cong :premises (@p431 @p430) :args (@t284)) 0.47/0.85 (step @p433 :rule cong :premises (@p432) :args (@t285)) 0.47/0.85 (step @p434 :rule trans :premises (@p433 @p324)) 0.47/0.85 (step @p435 :rule refl :args (tptp.woz1_2)) 0.47/0.85 (step @p436 :rule cong :premises (@p435 @p434) :args (@t301)) 0.47/0.85 (step @p437 :rule refl :args (tptp.woz1_1)) 0.47/0.85 (step @p438 :rule cong :premises (@p437 @p436) :args (@t302)) 0.47/0.85 (step @p439 :rule refl :args (tptp.woz13rule4)) 0.47/0.85 (step @p440 :rule cong :premises (@p439 @p438) :args (@t303)) 0.47/0.85 (step @p441 :rule refl :args (tptp.woz13rule3)) 0.47/0.85 (step @p442 :rule cong :premises (@p441 @p440) :args (@t304)) 0.47/0.85 (step @p443 :rule refl :args (tptp.woz13rule2)) 0.47/0.85 (step @p444 :rule cong :premises (@p443 @p442) :args (@t305)) 0.47/0.85 (step @p445 :rule refl :args (tptp.woz13rule1)) 0.47/0.85 (step @p446 :rule cong :premises (@p445 @p444) :args (@t306)) 0.47/0.85 (step @p447 :rule refl :args (tptp.woz13rule0)) 0.47/0.85 (step @p448 :rule cong :premises (@p447 @p446) :args (@t307)) 0.47/0.85 (step @p449 :rule refl :args (tptp.demorgan2)) 0.47/0.85 (step @p450 :rule cong :premises (@p449 @p448) :args (@t308)) 0.47/0.85 (step @p451 :rule refl :args (tptp.demorgan2b)) 0.47/0.85 (step @p452 :rule cong :premises (@p451 @p450) :args (@t309)) 0.47/0.85 (step @p453 :rule refl :args (tptp.demorgan2b2)) 0.47/0.85 (step @p454 :rule cong :premises (@p453 @p452) :args (@t310)) 0.47/0.85 (step @p455 :rule refl :args (tptp.demorgan2a)) 0.47/0.85 (step @p456 :rule cong :premises (@p455 @p454) :args (@t311)) 0.47/0.85 (step @p457 :rule refl :args (tptp.demorgan1)) 0.47/0.85 (step @p458 :rule cong :premises (@p457 @p456) :args (@t312)) 0.47/0.85 (step @p459 :rule refl :args (tptp.demorgan1b)) 0.47/0.85 (step @p460 :rule cong :premises (@p459 @p458) :args (@t313)) 0.47/0.85 (step @p461 :rule refl :args (tptp.demorgan1a)) 0.47/0.85 (step @p462 :rule cong :premises (@p461 @p460) :args (@t314)) 0.47/0.85 (step @p463 :rule refl :args (tptp.demorgan2a2)) 0.47/0.85 (step @p464 :rule cong :premises (@p463 @p462) :args (@t315)) 0.47/0.85 (step @p465 :rule refl :args (tptp.complementUnionInPowersetComplement)) 0.47/0.85 (step @p466 :rule cong :premises (@p465 @p464) :args (@t316)) 0.47/0.85 (step @p467 :rule refl :args (tptp.demorgan2a1)) 0.47/0.85 (step @p468 :rule cong :premises (@p467 @p466) :args (@t317)) 0.47/0.85 (step @p469 :rule refl :args (tptp.binunionTEcontra)) 0.47/0.85 (step @p470 :rule cong :premises (@p469 @p468) :args (@t318)) 0.47/0.85 (step @p471 :rule refl :args (tptp.binunionTE)) 0.47/0.85 (step @p472 :rule cong :premises (@p471 @p470) :args (@t319)) 0.47/0.85 (step @p473 :rule refl :args (tptp.inComplementUnionImpInComplement1)) 0.47/0.85 (step @p474 :rule cong :premises (@p473 @p472) :args (@t320)) 0.47/0.85 (step @p475 :rule refl :args (tptp.inComplementUnionImpNotIn1)) 0.47/0.85 (step @p476 :rule cong :premises (@p475 @p474) :args (@t321)) 0.47/0.85 (step @p477 :rule refl :args (tptp.intersectInPowersetIntersectUnions)) 0.47/0.85 (step @p478 :rule cong :premises (@p477 @p476) :args (@t322)) 0.47/0.85 (step @p479 :rule refl :args (tptp.inIntersectImpInIntersectUnions)) 0.47/0.85 (step @p480 :rule cong :premises (@p479 @p478) :args (@t323)) 0.47/0.85 (step @p481 :rule refl :args (tptp.inIntersectImpInUnion2)) 0.47/0.85 (step @p482 :rule cong :premises (@p481 @p480) :args (@t324)) 0.47/0.85 (step @p483 :rule refl :args (tptp.inIntersectImpInUnion)) 0.47/0.85 (step @p484 :rule cong :premises (@p483 @p482) :args (@t325)) 0.47/0.85 (step @p485 :rule refl :args (tptp.binunionTIRcontra)) 0.47/0.85 (step @p486 :rule cong :premises (@p485 @p484) :args (@t326)) 0.47/0.85 (step @p487 :rule refl :args (tptp.binunionTILcontra)) 0.47/0.85 (step @p488 :rule cong :premises (@p487 @p486) :args (@t327)) 0.47/0.85 (step @p489 :rule refl :args (tptp.complementTcontraSubset)) 0.47/0.85 (step @p490 :rule cong :premises (@p489 @p488) :args (@t328)) 0.47/0.85 (step @p491 :rule refl :args (tptp.contraSubsetComplement)) 0.47/0.85 (step @p492 :rule cong :premises (@p491 @p490) :args (@t329)) 0.47/0.85 (step @p493 :rule refl :args (tptp.complementInPowersetComplementIntersect)) 0.47/0.85 (step @p494 :rule cong :premises (@p493 @p492) :args (@t330)) 0.47/0.85 (step @p495 :rule refl :args (tptp.complementSubsetComplementIntersect)) 0.47/0.85 (step @p496 :rule cong :premises (@p495 @p494) :args (@t331)) 0.47/0.85 (step @p497 :rule refl :args (tptp.complementImpComplementIntersect)) 0.47/0.85 (step @p498 :rule cong :premises (@p497 @p496) :args (@t332)) 0.47/0.85 (step @p499 :rule refl :args (tptp.complementTnotintersectT)) 0.47/0.85 (step @p500 :rule cong :premises (@p499 @p498) :args (@t333)) 0.47/0.85 (step @p501 :rule refl :args (tptp.doubleComplementEq)) 0.47/0.85 (step @p502 :rule cong :premises (@p501 @p500) :args (@t334)) 0.47/0.85 (step @p503 :rule refl :args (tptp.doubleComplementSub2)) 0.47/0.85 (step @p504 :rule cong :premises (@p503 @p502) :args (@t335)) 0.47/0.85 (step @p505 :rule refl :args (tptp.doubleComplementSub1)) 0.47/0.85 (step @p506 :rule cong :premises (@p505 @p504) :args (@t336)) 0.47/0.85 (step @p507 :rule refl :args (tptp.doubleComplementE1)) 0.47/0.85 (step @p508 :rule cong :premises (@p507 @p506) :args (@t337)) 0.47/0.85 (step @p509 :rule refl :args (tptp.doubleComplementI1)) 0.47/0.85 (step @p510 :rule cong :premises (@p509 @p508) :args (@t338)) 0.47/0.85 (step @p511 :rule refl :args (tptp.contrasubsetT3)) 0.47/0.85 (step @p512 :rule cong :premises (@p511 @p510) :args (@t339)) 0.47/0.85 (step @p513 :rule refl :args (tptp.contrasubsetT2)) 0.47/0.85 (step @p514 :rule cong :premises (@p513 @p512) :args (@t340)) 0.47/0.85 (step @p515 :rule refl :args (tptp.contrasubsetT1)) 0.47/0.85 (step @p516 :rule cong :premises (@p515 @p514) :args (@t341)) 0.47/0.85 (step @p517 :rule refl :args (tptp.contrasubsetT)) 0.47/0.85 (step @p518 :rule cong :premises (@p517 @p516) :args (@t342)) 0.47/0.85 (step @p519 :rule refl :args (tptp.binintersectTERcontra)) 0.47/0.85 (step @p520 :rule cong :premises (@p519 @p518) :args (@t343)) 0.47/0.85 (step @p521 :rule refl :args (tptp.binintersectTELcontra)) 0.47/0.85 (step @p522 :rule cong :premises (@p521 @p520) :args (@t344)) 0.47/0.85 (step @p523 :rule refl :args (tptp.complementTE1)) 0.47/0.85 (step @p524 :rule cong :premises (@p523 @p522) :args (@t345)) 0.47/0.85 (step @p525 :rule refl :args (tptp.complementTI1)) 0.47/0.85 (step @p526 :rule cong :premises (@p525 @p524) :args (@t346)) 0.47/0.85 (step @p527 :rule refl :args (tptp.powersetTE1)) 0.47/0.85 (step @p528 :rule cong :premises (@p527 @p526) :args (@t347)) 0.47/0.85 (step @p529 :rule refl :args (tptp.powersetTI1)) 0.47/0.85 (step @p530 :rule cong :premises (@p529 @p528) :args (@t348)) 0.47/0.85 (step @p531 :rule refl :args (tptp.subsetTI)) 0.47/0.85 (step @p532 :rule cong :premises (@p531 @p530) :args (@t349)) 0.47/0.85 (step @p533 :rule refl :args (tptp.setextT)) 0.47/0.85 (step @p534 :rule cong :premises (@p533 @p532) :args (@t350)) 0.47/0.85 (step @p535 :rule refl :args (tptp.complementT_lem)) 0.47/0.85 (step @p536 :rule cong :premises (@p535 @p534) :args (@t351)) 0.47/0.85 (step @p537 :rule refl :args (tptp.setminusT_lem)) 0.47/0.85 (step @p538 :rule cong :premises (@p537 @p536) :args (@t352)) 0.47/0.85 (step @p539 :rule refl :args (tptp.powersetT_lem)) 0.47/0.85 (step @p540 :rule cong :premises (@p539 @p538) :args (@t353)) 0.47/0.85 (step @p541 :rule refl :args (tptp.binunionT_lem)) 0.47/0.85 (step @p542 :rule cong :premises (@p541 @p540) :args (@t354)) 0.47/0.85 (step @p543 :rule refl :args (tptp.binintersectT_lem)) 0.47/0.85 (step @p544 :rule cong :premises (@p543 @p542) :args (@t355)) 0.47/0.85 (step @p545 :rule refl :args (tptp.iftrueorfalse)) 0.47/0.85 (step @p546 :rule cong :premises (@p545 @p544) :args (@t356)) 0.47/0.85 (step @p547 :rule refl :args (tptp.iffalse)) 0.47/0.85 (step @p548 :rule cong :premises (@p547 @p546) :args (@t357)) 0.47/0.85 (step @p549 :rule refl :args (tptp.iftrue)) 0.47/0.85 (step @p550 :rule cong :premises (@p549 @p548) :args (@t358)) 0.47/0.85 (step @p551 :rule refl :args (tptp.theeq)) 0.47/0.85 (step @p552 :rule cong :premises (@p551 @p550) :args (@t359)) 0.47/0.85 (step @p553 :rule refl :args (tptp.ifp)) 0.47/0.85 (step @p554 :rule cong :premises (@p553 @p552) :args (@t360)) 0.47/0.85 (step @p555 :rule refl :args (tptp.ifSingleton)) 0.47/0.85 (step @p556 :rule cong :premises (@p555 @p554) :args (@t361)) 0.47/0.85 (step @p557 :rule refl :args (tptp.iftrueProp2)) 0.47/0.85 (step @p558 :rule cong :premises (@p557 @p556) :args (@t362)) 0.47/0.85 (step @p559 :rule refl :args (tptp.iftrueProp1)) 0.47/0.85 (step @p560 :rule cong :premises (@p559 @p558) :args (@t363)) 0.47/0.85 (step @p561 :rule refl :args (tptp.iffalseProp2)) 0.47/0.85 (step @p562 :rule cong :premises (@p561 @p560) :args (@t364)) 0.47/0.85 (step @p563 :rule refl :args (tptp.iffalseProp1)) 0.47/0.85 (step @p564 :rule cong :premises (@p563 @p562) :args (@t365)) 0.47/0.85 (step @p565 :rule refl :args (tptp.eta2)) 0.47/0.85 (step @p566 :rule cong :premises (@p565 @p564) :args (@t366)) 0.47/0.85 (step @p567 :rule refl :args (tptp.beta2)) 0.47/0.85 (step @p568 :rule cong :premises (@p567 @p566) :args (@t367)) 0.47/0.85 (step @p569 :rule refl :args (tptp.lam2lamEq)) 0.47/0.85 (step @p570 :rule cong :premises (@p569 @p568) :args (@t368)) 0.47/0.85 (step @p571 :rule refl :args (tptp.eta1)) 0.47/0.85 (step @p572 :rule cong :premises (@p571 @p570) :args (@t369)) 0.47/0.85 (step @p573 :rule refl :args (tptp.beta1)) 0.47/0.85 (step @p574 :rule cong :premises (@p573 @p572) :args (@t370)) 0.47/0.85 (step @p575 :rule refl :args (tptp.ap2apEq2)) 0.47/0.85 (step @p576 :rule cong :premises (@p575 @p574) :args (@t371)) 0.47/0.85 (step @p577 :rule refl :args (tptp.ap2apEq1)) 0.47/0.85 (step @p578 :rule cong :premises (@p577 @p576) :args (@t372)) 0.47/0.85 (step @p579 :rule refl :args (tptp.funcext2)) 0.47/0.85 (step @p580 :rule cong :premises (@p579 @p578) :args (@t373)) 0.47/0.85 (step @p581 :rule refl :args (tptp.funcext)) 0.47/0.85 (step @p582 :rule cong :premises (@p581 @p580) :args (@t374)) 0.47/0.85 (step @p583 :rule refl :args (tptp.eqbreln)) 0.47/0.85 (step @p584 :rule cong :premises (@p583 @p582) :args (@t375)) 0.47/0.85 (step @p585 :rule refl :args (tptp.subbreln)) 0.47/0.85 (step @p586 :rule cong :premises (@p585 @p584) :args (@t376)) 0.47/0.85 (step @p587 :rule refl :args (tptp.funcGraphProp4)) 0.47/0.85 (step @p588 :rule cong :premises (@p587 @p586) :args (@t377)) 0.47/0.85 (step @p589 :rule refl :args (tptp.funcextLem)) 0.47/0.85 (step @p590 :rule cong :premises (@p589 @p588) :args (@t378)) 0.47/0.85 (step @p591 :rule refl :args (tptp.funcGraphProp2)) 0.47/0.85 (step @p592 :rule cong :premises (@p591 @p590) :args (@t379)) 0.47/0.85 (step @p593 :rule refl :args (tptp.funcGraphProp3)) 0.47/0.85 (step @p594 :rule cong :premises (@p593 @p592) :args (@t380)) 0.47/0.85 (step @p595 :rule refl :args (tptp.funcGraphProp1)) 0.47/0.85 (step @p596 :rule cong :premises (@p595 @p594) :args (@t381)) 0.47/0.85 (step @p597 :rule refl :args (tptp.ex1E2)) 0.47/0.85 (step @p598 :rule cong :premises (@p597 @p596) :args (@t382)) 0.47/0.85 (step @p599 :rule refl :args (tptp.brelnall2)) 0.47/0.85 (step @p600 :rule cong :premises (@p599 @p598) :args (@t383)) 0.47/0.85 (step @p601 :rule refl :args (tptp.brelnall1)) 0.47/0.85 (step @p602 :rule cong :premises (@p601 @p600) :args (@t384)) 0.47/0.85 (step @p603 :rule refl :args (tptp.lam2p)) 0.47/0.85 (step @p604 :rule cong :premises (@p603 @p602) :args (@t385)) 0.47/0.85 (step @p605 :rule refl :args (tptp.lamp)) 0.47/0.85 (step @p606 :rule cong :premises (@p605 @p604) :args (@t386)) 0.47/0.85 (step @p607 :rule refl :args (tptp.lamProp)) 0.47/0.85 (step @p608 :rule cong :premises (@p607 @p606) :args (@t387)) 0.47/0.85 (step @p609 :rule refl :args (tptp.funcinfuncset)) 0.47/0.85 (step @p610 :rule cong :premises (@p609 @p608) :args (@t388)) 0.47/0.85 (step @p611 :rule refl :args (tptp.ap2p)) 0.47/0.85 (step @p612 :rule cong :premises (@p611 @p610) :args (@t389)) 0.47/0.85 (step @p613 :rule refl :args (tptp.infuncsetfunc)) 0.47/0.85 (step @p614 :rule cong :premises (@p613 @p612) :args (@t390)) 0.47/0.85 (step @p615 :rule refl :args (tptp.app)) 0.47/0.85 (step @p616 :rule cong :premises (@p615 @p614) :args (@t391)) 0.47/0.85 (step @p617 :rule refl :args (tptp.apProp)) 0.47/0.85 (step @p618 :rule cong :premises (@p617 @p616) :args (@t392)) 0.47/0.85 (step @p619 :rule refl :args (tptp.funcImageSingleton)) 0.47/0.85 (step @p620 :rule cong :premises (@p619 @p618) :args (@t393)) 0.47/0.85 (step @p621 :rule refl :args (tptp.dpsetconstrER)) 0.47/0.85 (step @p622 :rule cong :premises (@p621 @p620) :args (@t394)) 0.47/0.85 (step @p623 :rule refl :args (tptp.dpsetconstrEL2)) 0.47/0.85 (step @p624 :rule cong :premises (@p623 @p622) :args (@t395)) 0.47/0.85 (step @p625 :rule refl :args (tptp.dpsetconstrEL1)) 0.47/0.85 (step @p626 :rule cong :premises (@p625 @p624) :args (@t396)) 0.47/0.85 (step @p627 :rule refl :args (tptp.dpsetconstrERa)) 0.47/0.85 (step @p628 :rule cong :premises (@p627 @p626) :args (@t397)) 0.47/0.85 (step @p629 :rule refl :args (tptp.setOfPairsIsBReln)) 0.47/0.85 (step @p630 :rule cong :premises (@p629 @p628) :args (@t398)) 0.47/0.85 (step @p631 :rule refl :args (tptp.dpsetconstrSub)) 0.47/0.85 (step @p632 :rule cong :premises (@p631 @p630) :args (@t399)) 0.47/0.85 (step @p633 :rule refl :args (tptp.dpsetconstrI)) 0.47/0.85 (step @p634 :rule cong :premises (@p633 @p632) :args (@t400)) 0.47/0.85 (step @p635 :rule refl :args (tptp.cartprodpairsurjEq)) 0.47/0.85 (step @p636 :rule cong :premises (@p635 @p634) :args (@t401)) 0.47/0.85 (step @p637 :rule refl :args (tptp.cartprodsndpairEq)) 0.47/0.85 (step @p638 :rule cong :premises (@p637 @p636) :args (@t402)) 0.47/0.85 (step @p639 :rule refl :args (tptp.cartprodfstpairEq)) 0.47/0.85 (step @p640 :rule cong :premises (@p639 @p638) :args (@t403)) 0.47/0.85 (step @p641 :rule refl :args (tptp.cartprodmempaircEq)) 0.47/0.85 (step @p642 :rule cong :premises (@p641 @p640) :args (@t404)) 0.47/0.85 (step @p643 :rule refl :args (tptp.cartprodpairmemER)) 0.47/0.85 (step @p644 :rule cong :premises (@p643 @p642) :args (@t405)) 0.47/0.85 (step @p645 :rule refl :args (tptp.cartprodpairmemEL)) 0.47/0.85 (step @p646 :rule cong :premises (@p645 @p644) :args (@t406)) 0.47/0.85 (step @p647 :rule refl :args (tptp.cartprodsndin)) 0.47/0.85 (step @p648 :rule cong :premises (@p647 @p646) :args (@t407)) 0.47/0.85 (step @p649 :rule refl :args (tptp.kpairsurjEq)) 0.47/0.85 (step @p650 :rule cong :premises (@p649 @p648) :args (@t408)) 0.47/0.85 (step @p651 :rule refl :args (tptp.ksndpairEq)) 0.47/0.85 (step @p652 :rule cong :premises (@p651 @p650) :args (@t409)) 0.47/0.85 (step @p653 :rule refl :args (tptp.ksndsingleton)) 0.47/0.85 (step @p654 :rule cong :premises (@p653 @p652) :args (@t410)) 0.47/0.85 (step @p655 :rule refl :args (tptp.setukpairinjR)) 0.47/0.85 (step @p656 :rule cong :premises (@p655 @p654) :args (@t411)) 0.47/0.85 (step @p657 :rule refl :args (tptp.setukpairinjR2)) 0.47/0.85 (step @p658 :rule cong :premises (@p657 @p656) :args (@t412)) 0.47/0.85 (step @p659 :rule refl :args (tptp.upairequniteq)) 0.47/0.85 (step @p660 :rule cong :premises (@p659 @p658) :args (@t413)) 0.47/0.85 (step @p661 :rule refl :args (tptp.setukpairinjR1)) 0.47/0.85 (step @p662 :rule cong :premises (@p661 @p660) :args (@t414)) 0.47/0.85 (step @p663 :rule refl :args (tptp.setukpairinjR12)) 0.47/0.85 (step @p664 :rule cong :premises (@p663 @p662) :args (@t415)) 0.47/0.85 (step @p665 :rule refl :args (tptp.setukpairinjR11)) 0.47/0.85 (step @p666 :rule cong :premises (@p665 @p664) :args (@t416)) 0.47/0.85 (step @p667 :rule refl :args (tptp.setukpairinjL)) 0.47/0.85 (step @p668 :rule cong :premises (@p667 @p666) :args (@t417)) 0.47/0.85 (step @p669 :rule refl :args (tptp.setukpairinjL2)) 0.47/0.85 (step @p670 :rule cong :premises (@p669 @p668) :args (@t418)) 0.47/0.85 (step @p671 :rule refl :args (tptp.cartprodfstin)) 0.47/0.85 (step @p672 :rule cong :premises (@p671 @p670) :args (@t419)) 0.47/0.85 (step @p673 :rule refl :args (tptp.kfstpairEq)) 0.47/0.85 (step @p674 :rule cong :premises (@p673 @p672) :args (@t420)) 0.47/0.85 (step @p675 :rule refl :args (tptp.theprop)) 0.47/0.85 (step @p676 :rule cong :premises (@p675 @p674) :args (@t421)) 0.47/0.85 (step @p677 :rule refl :args (tptp.kfstsingleton)) 0.47/0.85 (step @p678 :rule cong :premises (@p677 @p676) :args (@t422)) 0.47/0.85 (step @p679 :rule refl :args (tptp.setukpairinjL1)) 0.47/0.85 (step @p680 :rule cong :premises (@p679 @p678) :args (@t423)) 0.47/0.85 (step @p681 :rule refl :args (tptp.singletonsuniq)) 0.47/0.85 (step @p682 :rule cong :premises (@p681 @p680) :args (@t424)) 0.47/0.85 (step @p683 :rule refl :args (tptp.ex1I2)) 0.47/0.85 (step @p684 :rule cong :premises (@p683 @p682) :args (@t425)) 0.47/0.85 (step @p685 :rule refl :args (tptp.ex1I)) 0.47/0.85 (step @p686 :rule cong :premises (@p685 @p684) :args (@t426)) 0.47/0.85 (step @p687 :rule refl :args (tptp.ex1E1)) 0.47/0.85 (step @p688 :rule cong :premises (@p687 @p686) :args (@t427)) 0.47/0.85 (step @p689 :rule refl :args (tptp.singletonprop)) 0.47/0.85 (step @p690 :rule cong :premises (@p689 @p688) :args (@t428)) 0.47/0.85 (step @p691 :rule refl :args (tptp.setunionsingleton)) 0.47/0.85 (step @p692 :rule cong :premises (@p691 @p690) :args (@t429)) 0.47/0.85 (step @p693 :rule refl :args (tptp.setunionsingleton2)) 0.47/0.85 (step @p694 :rule cong :premises (@p693 @p692) :args (@t430)) 0.47/0.85 (step @p695 :rule refl :args (tptp.setunionsingleton1)) 0.47/0.85 (step @p696 :rule cong :premises (@p695 @p694) :args (@t431)) 0.47/0.85 (step @p697 :rule refl :args (tptp.setunionE2)) 0.47/0.85 (step @p698 :rule cong :premises (@p697 @p696) :args (@t432)) 0.47/0.85 (step @p699 :rule refl :args (tptp.cartprodmempair)) 0.47/0.85 (step @p700 :rule cong :premises (@p699 @p698) :args (@t433)) 0.47/0.85 (step @p701 :rule refl :args (tptp.cartprodmempair1)) 0.47/0.85 (step @p702 :rule cong :premises (@p701 @p700) :args (@t434)) 0.47/0.85 (step @p703 :rule refl :args (tptp.cartprodpairin)) 0.47/0.85 (step @p704 :rule cong :premises (@p703 @p702) :args (@t435)) 0.47/0.85 (step @p705 :rule refl :args (tptp.ubforcartprodlem3)) 0.47/0.85 (step @p706 :rule cong :premises (@p705 @p704) :args (@t436)) 0.47/0.85 (step @p707 :rule refl :args 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@p750) :args (@t459)) 0.47/0.85 (step @p753 :rule refl :args (tptp.setminusERneg)) 0.47/0.85 (step @p754 :rule cong :premises (@p753 @p752) :args (@t460)) 0.47/0.85 (step @p755 :rule refl :args (tptp.setminusSubset2)) 0.47/0.85 (step @p756 :rule cong :premises (@p755 @p754) :args (@t461)) 0.47/0.85 (step @p757 :rule refl :args (tptp.setminusER)) 0.47/0.85 (step @p758 :rule cong :premises (@p757 @p756) :args (@t462)) 0.47/0.85 (step @p759 :rule refl :args (tptp.setminusEL)) 0.47/0.85 (step @p760 :rule cong :premises (@p759 @p758) :args (@t463)) 0.47/0.85 (step @p761 :rule refl :args (tptp.setminusI)) 0.47/0.85 (step @p762 :rule cong :premises (@p761 @p760) :args (@t464)) 0.47/0.85 (step @p763 :rule refl :args (tptp.bs114d)) 0.47/0.85 (step @p764 :rule cong :premises (@p763 @p762) :args (@t465)) 0.47/0.85 (step @p765 :rule refl :args (tptp.binintersectSubset1)) 0.47/0.85 (step @p766 :rule cong :premises (@p765 @p764) :args (@t466)) 0.47/0.85 (step @p767 :rule refl :args 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@p782 :rule cong :premises (@p781 @p780) :args (@t474)) 0.47/0.85 (step @p783 :rule refl :args (tptp.binintersectSubset5)) 0.47/0.85 (step @p784 :rule cong :premises (@p783 @p782) :args (@t475)) 0.47/0.85 (step @p785 :rule refl :args (tptp.binintersectI)) 0.47/0.85 (step @p786 :rule cong :premises (@p785 @p784) :args (@t476)) 0.47/0.85 (step @p787 :rule refl :args (tptp.binunionRsub)) 0.47/0.85 (step @p788 :rule cong :premises (@p787 @p786) :args (@t477)) 0.47/0.85 (step @p789 :rule refl :args (tptp.binunionLsub)) 0.47/0.85 (step @p790 :rule cong :premises (@p789 @p788) :args (@t478)) 0.47/0.85 (step @p791 :rule refl :args (tptp.binunionE)) 0.47/0.85 (step @p792 :rule cong :premises (@p791 @p790) :args (@t479)) 0.47/0.85 (step @p793 :rule refl :args (tptp.binunionEcases)) 0.47/0.85 (step @p794 :rule cong :premises (@p793 @p792) :args (@t480)) 0.47/0.85 (step @p795 :rule refl :args (tptp.binunionIR)) 0.47/0.85 (step @p796 :rule cong :premises (@p795 @p794) :args (@t481)) 0.47/0.85 (step @p797 :rule refl :args (tptp.upairset2IR)) 0.47/0.85 (step @p798 :rule cong :premises (@p797 @p796) :args (@t482)) 0.47/0.85 (step @p799 :rule refl :args (tptp.binunionIL)) 0.47/0.85 (step @p800 :rule cong :premises (@p799 @p798) :args (@t483)) 0.47/0.85 (step @p801 :rule refl :args (tptp.sepSubset)) 0.47/0.85 (step @p802 :rule cong :premises (@p801 @p800) :args (@t484)) 0.47/0.85 (step @p803 :rule refl :args (tptp.sepInPowerset)) 0.47/0.85 (step @p804 :rule cong :premises (@p803 @p802) :args (@t485)) 0.47/0.85 (step @p805 :rule refl :args (tptp.powersetsubset)) 0.47/0.85 (step @p806 :rule cong :premises (@p805 @p804) :args (@t486)) 0.47/0.85 (step @p807 :rule refl :args (tptp.inPowerset)) 0.47/0.85 (step @p808 :rule cong :premises (@p807 @p806) :args (@t487)) 0.47/0.85 (step @p809 :rule refl :args (tptp.powersetE1)) 0.47/0.85 (step @p810 :rule cong :premises (@p809 @p808) :args (@t488)) 0.47/0.85 (step @p811 :rule refl :args (tptp.powersetI1)) 0.47/0.85 (step @p812 :rule cong 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(step @p858 :rule cong :premises (@p857 @p856) :args (@t512)) 0.47/0.85 (step @p859 :rule refl :args (tptp.setadjoin__Cong)) 0.47/0.85 (step @p860 :rule cong :premises (@p859 @p858) :args (@t513)) 0.47/0.85 (step @p861 :rule refl :args (tptp.emptyset__Cong)) 0.47/0.85 (step @p862 :rule cong :premises (@p861 @p860) :args (@t514)) 0.47/0.85 (step @p863 :rule refl :args (tptp.exu__Cong)) 0.47/0.85 (step @p864 :rule cong :premises (@p863 @p862) :args (@t515)) 0.47/0.85 (step @p865 :rule refl :args (tptp.exuE3u)) 0.47/0.85 (step @p866 :rule cong :premises (@p865 @p864) :args (@t516)) 0.47/0.85 (step @p867 :rule refl :args (tptp.in__Cong)) 0.47/0.85 (step @p868 :rule cong :premises (@p867 @p866) :args (@t517)) 0.47/0.85 (step @p869 :rule refl :args (tptp.inCongP)) 0.47/0.85 (step @p870 :rule cong :premises (@p869 @p868) :args (@t518)) 0.47/0.85 (step @p871 :rule refl :args (tptp.exuI2)) 0.47/0.85 (step @p872 :rule cong :premises (@p871 @p870) :args (@t519)) 0.47/0.85 (step @p873 :rule refl 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@p1159 :rule not_implies_elim2 :premises (@p1158)) 0.47/0.85 (step @p1160 :rule not_implies_elim2 :premises (@p1159)) 0.47/0.85 (step @p1161 :rule not_implies_elim2 :premises (@p1160)) 0.47/0.85 (step @p1162 :rule not_implies_elim2 :premises (@p1161)) 0.47/0.85 (step @p1163 :rule not_implies_elim2 :premises (@p1162)) 0.47/0.85 (step @p1164 :rule not_implies_elim2 :premises (@p1163)) 0.47/0.85 (step @p1165 :rule not_implies_elim2 :premises (@p1164)) 0.47/0.85 (step @p1166 :rule not_implies_elim2 :premises (@p1165)) 0.47/0.85 (step @p1167 :rule not_implies_elim2 :premises (@p1166)) 0.47/0.85 (step @p1168 :rule not_implies_elim2 :premises (@p1167)) 0.47/0.85 (step @p1169 :rule not_implies_elim2 :premises (@p1168)) 0.47/0.85 (step @p1170 :rule not_implies_elim2 :premises (@p1169)) 0.47/0.85 (step @p1171 :rule not_implies_elim2 :premises (@p1170)) 0.47/0.85 (step @p1172 :rule not_implies_elim2 :premises (@p1171)) 0.47/0.85 (step @p1173 :rule not_implies_elim2 :premises (@p1172)) 0.47/0.85 (step @p1174 :rule not_implies_elim2 :premises (@p1173)) 0.47/0.85 (step @p1175 :rule not_implies_elim2 :premises (@p1174)) 0.47/0.85 (step @p1176 :rule not_implies_elim2 :premises (@p1175)) 0.47/0.85 (step @p1177 :rule not_implies_elim2 :premises (@p1176)) 0.47/0.85 (step @p1178 :rule not_implies_elim2 :premises (@p1177)) 0.47/0.85 (step @p1179 :rule not_implies_elim2 :premises (@p1178)) 0.47/0.85 (step @p1180 :rule not_implies_elim2 :premises (@p1179)) 0.47/0.85 (step @p1181 :rule not_implies_elim2 :premises (@p1180)) 0.47/0.85 (step @p1182 :rule not_implies_elim2 :premises (@p1181)) 0.47/0.85 (step @p1183 :rule not_implies_elim2 :premises (@p1182)) 0.47/0.85 (step @p1184 :rule not_implies_elim2 :premises (@p1183)) 0.47/0.85 (step @p1185 :rule not_implies_elim2 :premises (@p1184)) 0.47/0.85 (step @p1186 :rule not_implies_elim2 :premises (@p1185)) 0.47/0.85 (step @p1187 :rule not_implies_elim2 :premises (@p1186)) 0.47/0.85 (step @p1188 :rule not_implies_elim2 :premises (@p1187)) 0.47/0.85 (step @p1189 :rule not_implies_elim2 :premises (@p1188)) 0.47/0.85 (step @p1190 :rule not_implies_elim2 :premises (@p1189)) 0.47/0.85 (step @p1191 :rule not_implies_elim2 :premises (@p1190)) 0.47/0.85 (step @p1192 :rule not_implies_elim2 :premises (@p1191)) 0.47/0.85 (step @p1193 :rule not_implies_elim2 :premises (@p1192)) 0.47/0.85 (step @p1194 :rule not_implies_elim2 :premises (@p1193)) 0.47/0.85 (step @p1195 :rule not_implies_elim2 :premises (@p1194)) 0.47/0.85 (step @p1196 :rule not_implies_elim2 :premises (@p1195)) 0.47/0.85 (step @p1197 :rule not_implies_elim2 :premises (@p1196)) 0.47/0.85 (step @p1198 :rule not_implies_elim2 :premises (@p1197)) 0.47/0.85 (step @p1199 :rule not_implies_elim2 :premises (@p1198)) 0.47/0.85 (step @p1200 :rule not_implies_elim2 :premises (@p1199)) 0.47/0.85 (step @p1201 :rule not_implies_elim2 :premises (@p1200)) 0.47/0.85 (step @p1202 :rule not_implies_elim2 :premises (@p1201)) 0.47/0.85 (step @p1203 :rule not_implies_elim2 :premises (@p1202)) 0.47/0.85 (step @p1204 :rule not_implies_elim2 :premises (@p1203)) 0.47/0.85 (step @p1205 :rule not_implies_elim2 :premises (@p1204)) 0.47/0.85 (step @p1206 :rule not_implies_elim2 :premises (@p1205)) 0.47/0.85 (step @p1207 :rule not_implies_elim2 :premises (@p1206)) 0.47/0.85 (step @p1208 :rule not_implies_elim2 :premises (@p1207)) 0.47/0.85 (step @p1209 :rule not_implies_elim2 :premises (@p1208)) 0.47/0.85 (step @p1210 :rule not_implies_elim2 :premises (@p1209)) 0.47/0.85 (step @p1211 :rule not_implies_elim2 :premises (@p1210)) 0.47/0.85 (step @p1212 :rule not_implies_elim2 :premises (@p1211)) 0.47/0.85 (step @p1213 :rule not_implies_elim2 :premises (@p1212)) 0.47/0.85 (step @p1214 :rule not_implies_elim2 :premises (@p1213)) 0.47/0.85 (step @p1215 :rule not_implies_elim2 :premises (@p1214)) 0.47/0.85 (step @p1216 :rule not_implies_elim2 :premises (@p1215)) 0.47/0.85 (step @p1217 :rule not_implies_elim2 :premises (@p1216)) 0.47/0.85 (step @p1218 :rule not_implies_elim2 :premises (@p1217)) 0.47/0.85 (step @p1219 :rule not_implies_elim2 :premises (@p1218)) 0.47/0.85 (step @p1220 :rule not_implies_elim2 :premises (@p1219)) 0.47/0.85 (step @p1221 :rule not_implies_elim2 :premises (@p1220)) 0.47/0.85 (step @p1222 :rule not_implies_elim2 :premises (@p1221)) 0.47/0.85 (step @p1223 :rule not_implies_elim2 :premises (@p1222)) 0.47/0.85 (step @p1224 :rule not_implies_elim2 :premises (@p1223)) 0.47/0.85 (step @p1225 :rule not_implies_elim2 :premises (@p1224)) 0.47/0.85 (step @p1226 :rule not_implies_elim2 :premises (@p1225)) 0.47/0.85 (step @p1227 :rule not_implies_elim2 :premises (@p1226)) 0.47/0.85 (step @p1228 :rule not_implies_elim2 :premises (@p1227)) 0.47/0.85 (step @p1229 :rule not_implies_elim2 :premises (@p1228)) 0.47/0.85 (step @p1230 :rule not_implies_elim2 :premises (@p1229)) 0.47/0.85 (step @p1231 :rule not_implies_elim2 :premises (@p1230)) 0.47/0.85 (step @p1232 :rule not_implies_elim2 :premises (@p1231)) 0.47/0.85 (step @p1233 :rule not_implies_elim2 :premises (@p1232)) 0.47/0.85 (step @p1234 :rule not_implies_elim2 :premises (@p1233)) 0.47/0.85 (step @p1235 :rule not_implies_elim2 :premises (@p1234)) 0.47/0.85 (step @p1236 :rule not_implies_elim2 :premises (@p1235)) 0.47/0.85 (step @p1237 :rule not_implies_elim2 :premises (@p1236)) 0.47/0.85 (step @p1238 :rule not_implies_elim2 :premises (@p1237)) 0.47/0.85 (step @p1239 :rule not_implies_elim2 :premises (@p1238)) 0.47/0.85 (step @p1240 :rule not_implies_elim2 :premises (@p1239)) 0.47/0.85 (step @p1241 :rule not_implies_elim2 :premises (@p1240)) 0.47/0.85 (step @p1242 :rule not_implies_elim2 :premises (@p1241)) 0.47/0.85 (step @p1243 :rule not_implies_elim2 :premises (@p1242)) 0.47/0.85 (step @p1244 :rule not_implies_elim2 :premises (@p1243)) 0.47/0.85 (step @p1245 :rule not_implies_elim2 :premises (@p1244)) 0.47/0.85 (step @p1246 :rule not_implies_elim2 :premises (@p1245)) 0.47/0.85 (step @p1247 :rule not_implies_elim2 :premises (@p1246)) 0.47/0.85 (step @p1248 :rule not_implies_elim2 :premises (@p1247)) 0.47/0.85 (step @p1249 :rule not_implies_elim2 :premises (@p1248)) 0.47/0.85 (step @p1250 :rule not_implies_elim2 :premises (@p1249)) 0.47/0.85 (step @p1251 :rule not_implies_elim2 :premises (@p1250)) 0.47/0.85 (step @p1252 :rule not_implies_elim2 :premises (@p1251)) 0.47/0.85 (step @p1253 :rule not_implies_elim2 :premises (@p1252)) 0.47/0.85 (step @p1254 :rule not_implies_elim2 :premises (@p1253)) 0.47/0.85 (step @p1255 :rule not_implies_elim2 :premises (@p1254)) 0.47/0.85 (step @p1256 :rule not_implies_elim2 :premises (@p1255)) 0.47/0.85 (step @p1257 :rule not_implies_elim2 :premises (@p1256)) 0.47/0.85 (step @p1258 :rule not_implies_elim2 :premises (@p1257)) 0.47/0.85 (step @p1259 :rule not_implies_elim2 :premises (@p1258)) 0.47/0.85 (step @p1260 :rule not_implies_elim2 :premises (@p1259)) 0.47/0.85 (step @p1261 :rule not_implies_elim2 :premises (@p1260)) 0.47/0.85 (step @p1262 :rule not_implies_elim2 :premises (@p1261)) 0.47/0.85 (step @p1263 :rule not_implies_elim2 :premises (@p1262)) 0.47/0.85 (step @p1264 :rule not_implies_elim2 :premises (@p1263)) 0.47/0.85 (step @p1265 :rule not_implies_elim2 :premises (@p1264)) 0.47/0.85 (step @p1266 :rule not_implies_elim2 :premises (@p1265)) 0.47/0.85 (step @p1267 :rule not_implies_elim2 :premises (@p1266)) 0.47/0.85 (step @p1268 :rule not_implies_elim2 :premises (@p1267)) 0.47/0.85 (step @p1269 :rule not_implies_elim2 :premises (@p1268)) 0.47/0.85 (step @p1270 :rule not_implies_elim2 :premises (@p1269)) 0.47/0.85 (step @p1271 :rule not_implies_elim2 :premises (@p1270)) 0.47/0.85 (step @p1272 :rule not_implies_elim2 :premises (@p1271)) 0.47/0.85 (step @p1273 :rule not_implies_elim2 :premises (@p1272)) 0.47/0.85 (step @p1274 :rule not_implies_elim2 :premises (@p1273)) 0.47/0.85 (step @p1275 :rule not_implies_elim2 :premises (@p1274)) 0.47/0.85 (step @p1276 :rule not_implies_elim2 :premises (@p1275)) 0.47/0.85 (step @p1277 :rule not_implies_elim2 :premises (@p1276)) 0.47/0.85 (step @p1278 :rule not_implies_elim2 :premises (@p1277)) 0.47/0.85 (step @p1279 :rule not_implies_elim2 :premises (@p1278)) 0.47/0.85 (step @p1280 :rule cong :premises (@p477 @p434) :args (@t286)) 0.47/0.85 (step @p1281 :rule eq_resolve :premises (@p260 @p1280)) 0.47/0.85 (step @p1282 :rule not_implies_elim1 :premises (@p1257)) 0.47/0.85 (step @p1283 :rule eq_resolve :premises (@p1282 @p1281)) 0.47/0.85 (step @p1284 false :rule contra :premises (@p1283 @p1279)) 0.47/0.85 ) 0.47/0.85 % SZS output end Proof 0.47/0.85 % cvc5 exiting 0.47/0.85 EOF