%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU748^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:53:01 AM UTC 2026 % Result : Theorem 0.48s 0.86s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU748^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:51:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.63 %----Proving TH0 % 0.48/0.86 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/0.86 % SZS status Theorem % 0.48/0.86 % SZS output start Proof % 0.48/0.86 ( % 0.48/0.86 (declare-sort $$unsorted 0) % 0.48/0.86 (declare-const tptp.emptyset $$unsorted) % 0.48/0.86 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.48/0.86 (declare-const tptp.singleton (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.binunionTILcontra Bool) % 0.48/0.86 (declare-const tptp.complementTcontraSubset Bool) % 0.48/0.86 (declare-const tptp.contraSubsetComplement Bool) % 0.48/0.86 (declare-const tptp.complementImpComplementIntersect Bool) % 0.48/0.86 (declare-const tptp.complementTnotintersectT Bool) % 0.48/0.86 (declare-const tptp.doubleComplementSub2 Bool) % 0.48/0.86 (declare-const tptp.doubleComplementSub1 Bool) % 0.48/0.86 (declare-const tptp.contrasubsetT2 Bool) % 0.48/0.86 (declare-const tptp.contrasubsetT1 Bool) % 0.48/0.86 (declare-const tptp.contrasubsetT Bool) % 0.48/0.86 (declare-const tptp.binintersectTELcontra Bool) % 0.48/0.86 (declare-const tptp.complementTI1 Bool) % 0.48/0.86 (declare-const tptp.powersetTE1 Bool) % 0.48/0.86 (declare-const tptp.powersetTI1 Bool) % 0.48/0.86 (declare-const tptp.subsetTI Bool) % 0.48/0.86 (declare-const tptp.binintersectER Bool) % 0.48/0.86 (declare-const tptp.setext Bool) % 0.48/0.86 (declare-const tptp.dpsetconstrER Bool) % 0.48/0.86 (declare-const tptp.binintersectSubset2 Bool) % 0.48/0.86 (declare-const tptp.binintersectEL Bool) % 0.48/0.86 (declare-const tptp.eta1 Bool) % 0.48/0.86 (declare-const tptp.exuI1 Bool) % 0.48/0.86 (declare-const tptp.binunionEcases Bool) % 0.48/0.86 (declare-const tptp.descrp Bool) % 0.48/0.86 (declare-const tptp.cartprodpairsurjEq Bool) % 0.48/0.86 (declare-const tptp.binunionIR Bool) % 0.48/0.86 (declare-const tptp.binunionIL Bool) % 0.48/0.86 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setbeta Bool) % 0.48/0.86 (declare-const tptp.setextsub Bool) % 0.48/0.86 (declare-const tptp.singletonsubset Bool) % 0.48/0.86 (declare-const tptp.doubleComplementEq Bool) % 0.48/0.86 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setadjoinSub2 Bool) % 0.48/0.86 (declare-const tptp.kpairiskpair Bool) % 0.48/0.86 (declare-const tptp.setadjoinSub Bool) % 0.48/0.86 (declare-const tptp.notequalI2 Bool) % 0.48/0.86 (declare-const tptp.emptysetsubset Bool) % 0.48/0.86 (declare-const tptp.omega0Ax Bool) % 0.48/0.86 (declare-const tptp.symdiffE Bool) % 0.48/0.86 (declare-const tptp.cartprodfstin Bool) % 0.48/0.86 (declare-const tptp.iftrueorfalse Bool) % 0.48/0.86 (declare-const tptp.powerset__Cong Bool) % 0.48/0.86 (declare-const tptp.setextAx Bool) % 0.48/0.86 (declare-const tptp.nonemptyE1 Bool) % 0.48/0.86 (declare-const tptp.binintersectRsub Bool) % 0.48/0.86 (declare-const tptp.emptyset__Cong Bool) % 0.48/0.86 (declare-const tptp.setadjoin__Cong Bool) % 0.48/0.86 (declare-const tptp.iffalseProp2 Bool) % 0.48/0.86 (declare-const tptp.binintersectSubset3 Bool) % 0.48/0.86 (declare-const tptp.exuE3e Bool) % 0.48/0.86 (declare-const tptp.quantDeMorgan3 Bool) % 0.48/0.86 (declare-const tptp.eta2 Bool) % 0.48/0.86 (declare-const tptp.exu__Cong Bool) % 0.48/0.86 (declare-const tptp.in__Cong Bool) % 0.48/0.86 (declare-const tptp.inCongP Bool) % 0.48/0.86 (declare-const tptp.setunionsingleton2 Bool) % 0.48/0.86 (declare-const tptp.exuI3 Bool) % 0.48/0.86 (declare-const tptp.subsetE Bool) % 0.48/0.86 (declare-const tptp.setukpairinjL2 Bool) % 0.48/0.86 (declare-const tptp.binintersectT_lem Bool) % 0.48/0.86 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.sepSubset Bool) % 0.48/0.86 (declare-const tptp.cartprodmempaircEq Bool) % 0.48/0.86 (declare-const tptp.setminusSubset2 Bool) % 0.48/0.86 (declare-const tptp.ap2p Bool) % 0.48/0.86 (declare-const tptp.quantDeMorgan1 Bool) % 0.48/0.86 (declare-const tptp.ubforcartprodlem1 Bool) % 0.48/0.86 (declare-const tptp.sepInPowerset Bool) % 0.48/0.86 (declare-const tptp.vacuousDall Bool) % 0.48/0.86 (declare-const tptp.inPowerset Bool) % 0.48/0.86 (declare-const tptp.upairset2E Bool) % 0.48/0.86 (declare-const tptp.cartprodsndin Bool) % 0.48/0.86 (declare-const tptp.emptyE1 Bool) % 0.48/0.86 (declare-const tptp.subbreln Bool) % 0.48/0.86 (declare-const tptp.notequalI1 Bool) % 0.48/0.86 (declare-const tptp.symdiffIneg1 Bool) % 0.48/0.86 (declare-const tptp.binunionT_lem Bool) % 0.48/0.86 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 0.48/0.86 (declare-const tptp.emptysetE Bool) % 0.48/0.86 (declare-const tptp.omega__Cong Bool) % 0.48/0.86 (declare-const tptp.ifSingleton Bool) % 0.48/0.86 (declare-const tptp.setadjoinIL Bool) % 0.48/0.86 (declare-const tptp.exuEu Bool) % 0.48/0.86 (declare-const tptp.complementSubsetComplementIntersect Bool) % 0.48/0.86 (declare-const tptp.prop2setE Bool) % 0.48/0.86 (declare-const tptp.exuI2 Bool) % 0.48/0.86 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.48/0.86 (declare-const tptp.binintersectLsub Bool) % 0.48/0.86 (declare-const tptp.binunionTEcontra Bool) % 0.48/0.86 (declare-const tptp.nonemptyImpWitness Bool) % 0.48/0.86 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.48/0.86 (declare-const tptp.replAx Bool) % 0.48/0.86 (declare-const tptp.upairinpowunion Bool) % 0.48/0.86 (declare-const tptp.upairsetE Bool) % 0.48/0.86 (declare-const tptp.binunionLsub Bool) % 0.48/0.86 (declare-const tptp.prop2set2propI Bool) % 0.48/0.86 (declare-const tptp.dsetconstrEL Bool) % 0.48/0.86 (declare-const tptp.emptyinPowerset Bool) % 0.48/0.86 (declare-const tptp.setadjoinIR Bool) % 0.48/0.86 (declare-const tptp.setminusSubset1 Bool) % 0.48/0.86 (declare-const tptp.dsetconstr__Cong Bool) % 0.48/0.86 (declare-const tptp.kfstpairEq Bool) % 0.48/0.86 (declare-const tptp.complementT_lem Bool) % 0.48/0.86 (declare-const tptp.subsetTrans Bool) % 0.48/0.86 (declare-const tptp.setukpairIL Bool) % 0.48/0.86 (declare-const tptp.uniqinunit Bool) % 0.48/0.86 (declare-const tptp.foundationAx Bool) % 0.48/0.86 (declare-const tptp.notsubsetI Bool) % 0.48/0.86 (declare-const tptp.upairequniteq Bool) % 0.48/0.86 (declare-const tptp.funcGraphProp3 Bool) % 0.48/0.86 (declare-const tptp.binintersectSubset4 Bool) % 0.48/0.86 (declare-const tptp.emptysetimpfalse Bool) % 0.48/0.86 (declare-const tptp.subsetRefl Bool) % 0.48/0.86 (declare-const tptp.powersetT_lem Bool) % 0.48/0.86 (declare-const tptp.beta2 Bool) % 0.48/0.86 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.exuE2 Bool) % 0.48/0.86 (declare-const tptp.subsetI2 Bool) % 0.48/0.86 (declare-const tptp.setukpairinjR11 Bool) % 0.48/0.86 (declare-const tptp.powersetsubset Bool) % 0.48/0.86 (declare-const tptp.eqimpsubset2 Bool) % 0.48/0.86 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.inIntersectImpInUnion2 Bool) % 0.48/0.86 (declare-const tptp.setminusLsub Bool) % 0.48/0.86 (declare-const tptp.emptyinunitempty Bool) % 0.48/0.86 (declare-const tptp.doubleComplementE1 Bool) % 0.48/0.86 (declare-const tptp.binunionRsub Bool) % 0.48/0.86 (declare-const tptp.cartprodmempair1 Bool) % 0.48/0.86 (declare-const tptp.notdallE Bool) % 0.48/0.86 (declare-const tptp.dsetconstrER Bool) % 0.48/0.86 (declare-const tptp.ap2apEq2 Bool) % 0.48/0.86 (declare-const tptp.doubleComplementI1 Bool) % 0.48/0.86 (declare-const tptp.binunionE Bool) % 0.48/0.86 (declare-const tptp.cartprodpairin Bool) % 0.48/0.86 (declare-const tptp.funcext2 Bool) % 0.48/0.86 (declare-const tptp.eqimpsubset1 Bool) % 0.48/0.86 (declare-const tptp.emptyInPowerset Bool) % 0.48/0.86 (declare-const tptp.setadjoinAx Bool) % 0.48/0.86 (declare-const tptp.exuE3u Bool) % 0.48/0.86 (declare-const tptp.ifp Bool) % 0.48/0.86 (declare-const tptp.subsetemptysetimpeq Bool) % 0.48/0.86 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setextT Bool) % 0.48/0.86 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.theeq Bool) % 0.48/0.86 (declare-const tptp.setminusELneg Bool) % 0.48/0.86 (declare-const tptp.inComplementUnionImpNotIn1 Bool) % 0.48/0.86 (declare-const tptp.powersetE Bool) % 0.48/0.86 (declare-const tptp.omegaSAx Bool) % 0.48/0.86 (declare-const tptp.lam2p Bool) % 0.48/0.86 (declare-const tptp.upairset2IR Bool) % 0.48/0.86 (declare-const tptp.wellorderingAx Bool) % 0.48/0.86 (declare-const tptp.cartprodsndpairEq Bool) % 0.48/0.86 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setoftrueEq Bool) % 0.48/0.86 (declare-const tptp.setunionAx Bool) % 0.48/0.86 (declare-const tptp.omegaIndAx Bool) % 0.48/0.86 (declare-const tptp.inComplementUnionImpInComplement1 Bool) % 0.48/0.86 (declare-const tptp.setunionE Bool) % 0.48/0.86 (declare-const tptp.emptyI Bool) % 0.48/0.86 (declare-const tptp.noeltsimpempty Bool) % 0.48/0.86 (declare-const tptp.binunionTIRcontra Bool) % 0.48/0.86 (declare-const tptp.setminusER Bool) % 0.48/0.86 (declare-const tptp.kpairp Bool) % 0.48/0.86 (declare-const tptp.powersetI1 Bool) % 0.48/0.86 (declare-const tptp.upairsetIL Bool) % 0.48/0.86 (declare-const tptp.nonemptyI Bool) % 0.48/0.86 (declare-const tptp.subsetI1 Bool) % 0.48/0.86 (declare-const tptp.emptysetAx Bool) % 0.48/0.86 (declare-const tptp.iftrue Bool) % 0.48/0.86 (declare-const tptp.singletonsuniq Bool) % 0.48/0.86 (declare-const tptp.nonemptyI1 Bool) % 0.48/0.86 (declare-const tptp.descr__Cong Bool) % 0.48/0.86 (declare-const tptp.setminusEL Bool) % 0.48/0.86 (declare-const tptp.infuncsetfunc Bool) % 0.48/0.86 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setadjoinE Bool) % 0.48/0.86 (declare-const tptp.funcinfuncset Bool) % 0.48/0.86 (declare-const tptp.setunionsingleton1 Bool) % 0.48/0.86 (declare-const tptp.notdexE Bool) % 0.48/0.86 (declare-const tptp.setunionI Bool) % 0.48/0.86 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.exuE1 Bool) % 0.48/0.86 (declare-const tptp.binintersectSubset5 Bool) % 0.48/0.86 (declare-const tptp.binunionTE Bool) % 0.48/0.86 (declare-const tptp.subPowSU Bool) % 0.48/0.86 (declare-const tptp.complementTE1 Bool) % 0.48/0.86 (declare-const tptp.subset2powerset Bool) % 0.48/0.86 (declare-const tptp.singletonsswitch Bool) % 0.48/0.86 (declare-const tptp.powersetE1 Bool) % 0.48/0.86 (declare-const tptp.setunion__Cong Bool) % 0.48/0.86 (declare-const tptp.funcGraphProp4 Bool) % 0.48/0.86 (declare-const tptp.notinemptyset Bool) % 0.48/0.86 (declare-const tptp.binintersectSubset1 Bool) % 0.48/0.86 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.ex1E1 Bool) % 0.48/0.86 (declare-const tptp.apProp Bool) % 0.48/0.86 (declare-const tptp.bs114d Bool) % 0.48/0.86 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setminusI Bool) % 0.48/0.86 (declare-const tptp.ex1I2 Bool) % 0.48/0.86 (declare-const tptp.inIntersectImpInUnion Bool) % 0.48/0.86 (declare-const tptp.setminusERneg Bool) % 0.48/0.86 (declare-const tptp.setminusILneg Bool) % 0.48/0.86 (declare-const tptp.setminusIRneg Bool) % 0.48/0.86 (declare-const tptp.theprop Bool) % 0.48/0.86 (declare-const tptp.symdiffI1 Bool) % 0.48/0.86 (declare-const tptp.intersectInPowersetIntersectUnions Bool) % 0.48/0.86 (declare-const tptp.powersetI Bool) % 0.48/0.86 (declare-const tptp.symdiffI2 Bool) % 0.48/0.86 (declare-const tptp.symdiffIneg2 Bool) % 0.48/0.86 (declare-const tptp.brelnall2 Bool) % 0.48/0.86 (declare-const tptp.secondinupair Bool) % 0.48/0.86 (declare-const tptp.setadjoinOr Bool) % 0.48/0.86 (declare-const tptp.funcGraphProp1 Bool) % 0.48/0.86 (declare-const tptp.setukpairIR Bool) % 0.48/0.86 (declare-const tptp.singletoninpowerset Bool) % 0.48/0.86 (declare-const tptp.ksndpairEq Bool) % 0.48/0.86 (declare-const tptp.eqbreln Bool) % 0.48/0.86 (declare-const tptp.notinsingleton Bool) % 0.48/0.86 (declare-const tptp.singletoninpowunion Bool) % 0.48/0.86 (declare-const tptp.eqinunit Bool) % 0.48/0.86 (declare-const tptp.upairsubunion Bool) % 0.48/0.86 (declare-const tptp.upairsetIR Bool) % 0.48/0.86 (declare-const tptp.ubforcartprodlem2 Bool) % 0.48/0.86 (declare-const tptp.beta1 Bool) % 0.48/0.86 (declare-const tptp.ubforcartprodlem3 Bool) % 0.48/0.86 (declare-const tptp.funcext Bool) % 0.48/0.86 (declare-const tptp.cartprodmempair Bool) % 0.48/0.86 (declare-const tptp.prop2setI Bool) % 0.48/0.86 (declare-const tptp.setunionE2 Bool) % 0.48/0.86 (declare-const tptp.setunionsingleton Bool) % 0.48/0.86 (declare-const tptp.quantDeMorgan4 Bool) % 0.48/0.86 (declare-const tptp.iffalseProp1 Bool) % 0.48/0.86 (declare-const tptp.singletonprop Bool) % 0.48/0.86 (declare-const tptp.dsetconstrI Bool) % 0.48/0.86 (declare-const tptp.funcImageSingleton Bool) % 0.48/0.86 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.ex1I Bool) % 0.48/0.86 (declare-const tptp.setukpairinjL1 Bool) % 0.48/0.86 (declare-const tptp.kfstsingleton Bool) % 0.48/0.86 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.setukpairinjL Bool) % 0.48/0.86 (declare-const tptp.powersetAx Bool) % 0.48/0.86 (declare-const tptp.setukpairinjR12 Bool) % 0.48/0.86 (declare-const tptp.subsetE2 Bool) % 0.48/0.86 (declare-const tptp.setukpairinjR1 Bool) % 0.48/0.86 (declare-const tptp.setukpairinjR2 Bool) % 0.48/0.86 (declare-const tptp.omega $$unsorted) % 0.48/0.86 (declare-const tptp.setukpairinjR Bool) % 0.48/0.86 (declare-const tptp.ksndsingleton Bool) % 0.48/0.86 (declare-const tptp.kpairsurjEq Bool) % 0.48/0.86 (declare-const tptp.cartprodpairmemEL Bool) % 0.48/0.86 (declare-const tptp.cartprodpairmemER Bool) % 0.48/0.86 (declare-const tptp.binintersectTERcontra Bool) % 0.48/0.86 (declare-const tptp.cartprodfstpairEq Bool) % 0.48/0.86 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.48/0.86 (declare-const tptp.dpsetconstrI Bool) % 0.48/0.86 (declare-const tptp.contrasubsetT3 Bool) % 0.48/0.86 (declare-const tptp.dpsetconstrSub Bool) % 0.48/0.86 (declare-const tptp.setOfPairsIsBReln Bool) % 0.48/0.86 (declare-const tptp.dpsetconstrERa Bool) % 0.48/0.86 (declare-const tptp.binintersectI Bool) % 0.48/0.86 (declare-const tptp.dpsetconstrEL1 Bool) % 0.48/0.86 (declare-const tptp.dpsetconstrEL2 Bool) % 0.48/0.86 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.disjointsetsI1 Bool) % 0.48/0.86 (declare-const tptp.app Bool) % 0.48/0.86 (declare-const tptp.iftrueProp2 Bool) % 0.48/0.86 (declare-const tptp.lamProp Bool) % 0.48/0.86 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.48/0.86 (declare-const tptp.iffalse Bool) % 0.48/0.86 (declare-const tptp.lamp Bool) % 0.48/0.86 (declare-const tptp.brelnall1 Bool) % 0.48/0.86 (declare-const tptp.inIntersectImpInIntersectUnions Bool) % 0.48/0.86 (declare-const tptp.ex1E2 Bool) % 0.48/0.86 (declare-const tptp.funcGraphProp2 Bool) % 0.48/0.86 (declare-const tptp.funcextLem Bool) % 0.48/0.86 (declare-const tptp.ap2apEq1 Bool) % 0.48/0.86 (declare-const tptp.quantDeMorgan2 Bool) % 0.48/0.86 (declare-const tptp.lam2lamEq Bool) % 0.48/0.86 (declare-const tptp.iftrueProp1 Bool) % 0.48/0.86 (declare-const tptp.setminusT_lem Bool) % 0.48/0.86 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.48/0.86 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.48/0.86 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.48/0.86 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.48/0.86 (define @t1 () (@var "B" $$unsorted)) % 0.48/0.86 (define @t2 () (@var "A" $$unsorted)) % 0.48/0.86 (define @t3 () (= @t2 @t1)) % 0.48/0.86 (define @t4 () (@var "Xx" $$unsorted)) % 0.48/0.86 (define @t5 () (_ tptp.in @t4)) % 0.48/0.86 (define @t6 () (_ @t5 @t1)) % 0.48/0.86 (define @t7 () (_ @t5 @t2)) % 0.48/0.86 (define @t8 () (@list @t4)) % 0.48/0.86 (define @t9 () (@list @t2 @t1)) % 0.48/0.86 (define @t10 () (_ @t5 tptp.emptyset)) % 0.48/0.86 (define @t11 () (forall @t8 (not @t10))) % 0.48/0.86 (define @t12 () (@var "Xy" $$unsorted)) % 0.48/0.86 (define @t13 () (_ tptp.in @t12)) % 0.48/0.86 (define @t14 () (_ @t13 @t2)) % 0.48/0.86 (define @t15 () (= @t12 @t4)) % 0.48/0.86 (define @t16 () (or @t15 @t14)) % 0.48/0.86 (define @t17 () (_ tptp.setadjoin @t4)) % 0.48/0.86 (define @t18 () (_ @t17 @t2)) % 0.48/0.86 (define @t19 () (_ @t13 @t18)) % 0.48/0.86 (define @t20 () (@list @t4 @t2 @t12)) % 0.48/0.86 (define @t21 () (=> @t6 @t7)) % 0.48/0.86 (define @t22 () (forall @t8 @t21)) % 0.48/0.86 (define @t23 () (_ tptp.powerset @t2)) % 0.48/0.86 (define @t24 () (_ tptp.in @t1)) % 0.48/0.86 (define @t25 () (_ @t24 @t23)) % 0.48/0.86 (define @t26 () (_ @t24 @t2)) % 0.48/0.86 (define @t27 () (@list @t1)) % 0.48/0.86 (define @t28 () (_ tptp.setunion @t2)) % 0.48/0.86 (define @t29 () (_ @t5 @t28)) % 0.48/0.86 (define @t30 () (@list @t2 @t4)) % 0.48/0.86 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.48/0.86 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.48/0.86 (define @t33 () (_ @t5 tptp.omega)) % 0.48/0.86 (define @t34 () (@list @t2)) % 0.48/0.86 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.48/0.86 (define @t36 () (@list @t12)) % 0.48/0.86 (define @t37 () (_ (_ @t35 @t4) @t12)) % 0.48/0.86 (define @t38 () (exists @t8 @t7)) % 0.48/0.86 (define @t39 () (@var "E" $$unsorted)) % 0.48/0.86 (define @t40 () (@var "D" $$unsorted)) % 0.48/0.86 (define @t41 () (_ @t13 @t40)) % 0.48/0.86 (define @t42 () (@var "C" $$unsorted)) % 0.48/0.86 (define @t43 () (_ @t13 @t42)) % 0.48/0.86 (define @t44 () (_ @t5 @t42)) % 0.48/0.86 (define @t45 () (_ (_ tptp.in @t40) @t1)) % 0.48/0.86 (define @t46 () (forall @t8 (=> @t44 @t7))) % 0.48/0.86 (define @t47 () (@list @t42)) % 0.48/0.86 (define @t48 () (_ @t5 @t40)) % 0.48/0.86 (define @t49 () (_ (_ tptp.in @t42) @t1)) % 0.48/0.86 (define @t50 () (= @t4 @t12)) % 0.48/0.86 (define @t51 () (@list @t4 @t12)) % 0.48/0.86 (define @t52 () (@var "Xphi" (-> $$unsorted Bool))) % 0.48/0.86 (define @t53 () (_ @t52 @t4)) % 0.48/0.86 (define @t54 () (lambda @t8 @t53)) % 0.48/0.86 (define @t55 () (_ tptp.descr @t54)) % 0.48/0.86 (define @t56 () (_ tptp.exu @t54)) % 0.48/0.86 (define @t57 () (@list @t52)) % 0.48/0.86 (define @t58 () (_ @t52 @t12)) % 0.48/0.86 (define @t59 () (lambda @t36 @t58)) % 0.48/0.86 (define @t60 () (_ tptp.dsetconstr @t2)) % 0.48/0.86 (define @t61 () (_ @t60 @t59)) % 0.48/0.86 (define @t62 () (_ @t5 @t61)) % 0.48/0.86 (define @t63 () (@list @t2 @t52 @t4)) % 0.48/0.86 (define @t64 () (=> @t58 @t50)) % 0.48/0.86 (define @t65 () (exists @t8 (and @t53 (forall @t36 @t64)))) % 0.48/0.86 (define @t66 () (@var "Xphi" Bool)) % 0.48/0.86 (define @t67 () (_ tptp.prop2set @t66)) % 0.48/0.86 (define @t68 () (@list @t66 @t4)) % 0.48/0.86 (define @t69 () (@list @t66)) % 0.48/0.86 (define @t70 () (exists @t8 @t53)) % 0.48/0.86 (define @t71 () (=> @t7 @t6)) % 0.48/0.86 (define @t72 () (forall @t8 @t71)) % 0.48/0.86 (define @t73 () (= @t2 tptp.emptyset)) % 0.48/0.86 (define @t74 () (not @t7)) % 0.48/0.86 (define @t75 () (forall @t34 (=> (forall @t8 @t74) @t73))) % 0.48/0.86 (define @t76 () (_ tptp.nonempty @t2)) % 0.48/0.86 (define @t77 () (forall @t34 (_ @t31 @t23))) % 0.48/0.86 (define @t78 () (@list @t2 @t1 @t4)) % 0.48/0.86 (define @t79 () (@list @t2 @t4 @t1)) % 0.48/0.86 (define @t80 () (exists @t8 (forall @t36 (= @t58 @t15)))) % 0.48/0.86 (define @t81 () (_ tptp.setadjoin @t12)) % 0.48/0.86 (define @t82 () (_ @t81 tptp.emptyset)) % 0.48/0.86 (define @t83 () (_ @t5 @t82)) % 0.48/0.86 (define @t84 () (_ @t17 tptp.emptyset)) % 0.48/0.86 (define @t85 () (_ @t13 @t84)) % 0.48/0.86 (define @t86 () (@var "Xz" $$unsorted)) % 0.48/0.86 (define @t87 () (= @t86 @t12)) % 0.48/0.86 (define @t88 () (= @t86 @t4)) % 0.48/0.86 (define @t89 () (_ @t17 @t82)) % 0.48/0.86 (define @t90 () (@list @t4 @t12 @t86)) % 0.48/0.86 (define @t91 () (forall @t90 (=> (_ (_ tptp.in @t86) @t89) (or @t88 @t87)))) % 0.48/0.86 (define @t92 () (forall @t51 (_ @t13 @t89))) % 0.48/0.86 (define @t93 () (_ @t60 @t54)) % 0.48/0.86 (define @t94 () (exists @t8 (and @t7 @t53))) % 0.48/0.86 (define @t95 () (@list @t2 @t52)) % 0.48/0.86 (define @t96 () (not @t53)) % 0.48/0.86 (define @t97 () (exists @t8 (and @t7 @t96))) % 0.48/0.86 (define @t98 () (not (forall @t8 (=> @t7 @t53)))) % 0.48/0.86 (define @t99 () (forall @t95 (=> @t98 @t97))) % 0.48/0.86 (define @t100 () (not @t94)) % 0.48/0.86 (define @t101 () (forall @t8 (=> @t7 @t96))) % 0.48/0.86 (define @t102 () (forall @t95 (=> @t100 @t101))) % 0.48/0.86 (define @t103 () (=> @t53 @t64)) % 0.48/0.86 (define @t104 () (forall @t51 @t103)) % 0.48/0.86 (define @t105 () (_ @t13 @t1)) % 0.48/0.86 (define @t106 () (forall @t57 (=> @t56 @t104))) % 0.48/0.86 (define @t107 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.48/0.86 (define @t108 () (lambda @t8 (_ @t107 @t4))) % 0.48/0.86 (define @t109 () (_ tptp.exu @t108)) % 0.48/0.86 (define @t110 () (=> @t50 (= @t53 (_ @t107 @t12)))) % 0.48/0.86 (define @t111 () (forall @t51 @t110)) % 0.48/0.86 (define @t112 () (@list @t52 @t107)) % 0.48/0.86 (define @t113 () (@var "Xu" $$unsorted)) % 0.48/0.86 (define @t114 () (= @t86 @t113)) % 0.48/0.86 (define @t115 () (@list @t86 @t113)) % 0.48/0.86 (define @t116 () (_ tptp.powerset @t1)) % 0.48/0.86 (define @t117 () (_ tptp.dsetconstr @t1)) % 0.48/0.86 (define @t118 () (_ tptp.subset @t2)) % 0.48/0.86 (define @t119 () (_ @t118 @t1)) % 0.48/0.86 (define @t120 () (forall @t9 (=> @t72 @t119))) % 0.48/0.86 (define @t121 () (_ tptp.subset @t1)) % 0.48/0.86 (define @t122 () (_ @t121 @t2)) % 0.48/0.86 (define @t123 () (not @t6)) % 0.48/0.86 (define @t124 () (=> @t123 @t74)) % 0.48/0.86 (define @t125 () (not @t119)) % 0.48/0.86 (define @t126 () (not @t3)) % 0.48/0.86 (define @t127 () (@list @t2 @t1 @t42)) % 0.48/0.86 (define @t128 () (_ tptp.in @t2)) % 0.48/0.86 (define @t129 () (_ (_ tptp.binunion @t2) @t1)) % 0.48/0.86 (define @t130 () (_ @t5 @t129)) % 0.48/0.86 (define @t131 () (=> @t6 @t66)) % 0.48/0.86 (define @t132 () (_ tptp.binintersect @t2)) % 0.48/0.86 (define @t133 () (_ @t132 @t1)) % 0.48/0.86 (define @t134 () (_ @t5 @t133)) % 0.48/0.86 (define @t135 () (_ tptp.subset @t42)) % 0.48/0.86 (define @t136 () (_ tptp.subset @t133)) % 0.48/0.86 (define @t137 () (= @t133 @t2)) % 0.48/0.86 (define @t138 () (= @t133 @t1)) % 0.48/0.86 (define @t139 () (_ tptp.setminus @t2)) % 0.48/0.86 (define @t140 () (_ @t139 @t1)) % 0.48/0.86 (define @t141 () (_ @t5 @t140)) % 0.48/0.86 (define @t142 () (= @t140 tptp.emptyset)) % 0.48/0.86 (define @t143 () (not @t141)) % 0.48/0.86 (define @t144 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.48/0.86 (define @t145 () (not @t144)) % 0.48/0.86 (define @t146 () (_ tptp.setadjoin @t84)) % 0.48/0.86 (define @t147 () (_ @t146 (_ (_ tptp.setadjoin @t89) tptp.emptyset))) % 0.48/0.86 (define @t148 () (_ tptp.setunion @t147)) % 0.48/0.86 (define @t149 () (_ tptp.kpair @t4)) % 0.48/0.86 (define @t150 () (_ @t149 @t12)) % 0.48/0.86 (define @t151 () (_ tptp.in @t84)) % 0.48/0.86 (define @t152 () (_ tptp.powerset @t129)) % 0.48/0.86 (define @t153 () (_ tptp.powerset @t152)) % 0.48/0.86 (define @t154 () (_ tptp.in @t150)) % 0.48/0.86 (define @t155 () (_ (_ tptp.cartprod @t2) @t1)) % 0.48/0.86 (define @t156 () (_ @t154 @t155)) % 0.48/0.86 (define @t157 () (_ (_ tptp.in @t113) @t155)) % 0.48/0.86 (define @t158 () (@list @t2 @t1 @t113)) % 0.48/0.86 (define @t159 () (_ tptp.iskpair @t113)) % 0.48/0.86 (define @t160 () (@var "X" $$unsorted)) % 0.48/0.86 (define @t161 () (_ @t5 @t160)) % 0.48/0.86 (define @t162 () (_ tptp.in @t160)) % 0.48/0.86 (define @t163 () (@list @t160)) % 0.48/0.86 (define @t164 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.48/0.86 (define @t165 () (_ tptp.singleton @t93)) % 0.48/0.86 (define @t166 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t103))))) % 0.48/0.86 (define @t167 () (_ tptp.ex1 @t2)) % 0.48/0.86 (define @t168 () (_ @t167 @t54)) % 0.48/0.86 (define @t169 () (= @t4 @t86)) % 0.48/0.86 (define @t170 () (_ tptp.setadjoin @t86)) % 0.48/0.86 (define @t171 () (_ @t170 tptp.emptyset)) % 0.48/0.86 (define @t172 () (_ tptp.dsetconstr (_ tptp.setunion @t113))) % 0.48/0.86 (define @t173 () (@list @t113)) % 0.48/0.86 (define @t174 () (_ tptp.setunion @t160)) % 0.48/0.86 (define @t175 () (_ tptp.singleton @t160)) % 0.48/0.86 (define @t176 () (= (_ tptp.kfst @t150) @t4)) % 0.48/0.86 (define @t177 () (_ tptp.kfst @t113)) % 0.48/0.86 (define @t178 () (= @t147 (_ (_ tptp.setadjoin @t171) (_ (_ tptp.setadjoin (_ @t170 (_ (_ tptp.setadjoin @t113) tptp.emptyset))) tptp.emptyset)))) % 0.48/0.86 (define @t179 () (@list @t4 @t12 @t86 @t113)) % 0.48/0.86 (define @t180 () (= @t150 (_ (_ tptp.kpair @t86) @t113))) % 0.48/0.86 (define @t181 () (= @t12 @t113)) % 0.48/0.86 (define @t182 () (_ tptp.kpair @t177)) % 0.48/0.86 (define @t183 () (= (_ tptp.ksnd @t150) @t12)) % 0.48/0.86 (define @t184 () (_ tptp.ksnd @t113)) % 0.48/0.86 (define @t185 () (= (_ @t182 @t184) @t113)) % 0.48/0.86 (define @t186 () (@list @t2 @t1 @t4 @t12)) % 0.48/0.86 (define @t187 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 0.48/0.86 (define @t188 () (_ @t154 (_ @t187 (lambda @t115 (_ (_ @t35 @t86) @t113))))) % 0.48/0.86 (define @t189 () (@list @t2 @t1 @t35 @t4)) % 0.48/0.86 (define @t190 () (_ @t187 (lambda @t51 @t37))) % 0.48/0.86 (define @t191 () (@list @t2 @t1 @t35)) % 0.48/0.86 (define @t192 () (_ (_ tptp.breln @t2) @t1)) % 0.48/0.86 (define @t193 () (=> @t188 @t37)) % 0.48/0.86 (define @t194 () (@list @t2 @t1 @t35 @t4 @t12)) % 0.48/0.86 (define @t195 () (@var "Xf" $$unsorted)) % 0.48/0.86 (define @t196 () (_ @t154 @t195)) % 0.48/0.86 (define @t197 () (_ @t117 (lambda @t36 @t196))) % 0.48/0.86 (define @t198 () (_ (_ tptp.func @t2) @t1)) % 0.48/0.86 (define @t199 () (_ @t198 @t195)) % 0.48/0.86 (define @t200 () (@list @t2 @t1 @t195)) % 0.48/0.86 (define @t201 () (_ (_ tptp.ap @t2) @t1)) % 0.48/0.86 (define @t202 () (_ (_ @t201 @t195) @t4)) % 0.48/0.86 (define @t203 () (forall @t8 (=> @t7 (_ (_ tptp.in @t202) @t1)))) % 0.48/0.86 (define @t204 () (_ (_ tptp.funcSet @t2) @t1)) % 0.48/0.86 (define @t205 () (_ (_ tptp.in @t195) @t204)) % 0.48/0.86 (define @t206 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.48/0.86 (define @t207 () (_ @t206 @t4)) % 0.48/0.86 (define @t208 () (forall @t8 (=> @t7 (_ (_ tptp.in @t207) @t1)))) % 0.48/0.86 (define @t209 () (@list @t2 @t1 @t206)) % 0.48/0.86 (define @t210 () (_ (_ tptp.lam @t2) @t1)) % 0.48/0.86 (define @t211 () (_ @t210 (lambda @t8 @t207))) % 0.48/0.86 (define @t212 () (@var "R" $$unsorted)) % 0.48/0.86 (define @t213 () (_ @t154 @t212)) % 0.48/0.86 (define @t214 () (_ @t192 @t212)) % 0.48/0.86 (define @t215 () (@list @t2 @t1 @t212)) % 0.48/0.86 (define @t216 () (forall @t215 (=> @t214 (forall @t57 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t213 (_ @t52 @t150)))))) (forall @t8 (=> (_ @t5 @t212) @t53))))))) % 0.48/0.86 (define @t217 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ @t149 @t202)) @t195)))) % 0.48/0.86 (define @t218 () (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t196 (= @t202 @t12))))))) % 0.48/0.86 (define @t219 () (@var "Xg" $$unsorted)) % 0.48/0.86 (define @t220 () (forall @t8 (=> @t7 (= @t202 (_ (_ @t201 @t219) @t4))))) % 0.48/0.86 (define @t221 () (_ @t198 @t219)) % 0.48/0.86 (define @t222 () (@list @t219)) % 0.48/0.86 (define @t223 () (@var "S" $$unsorted)) % 0.48/0.86 (define @t224 () (_ @t154 @t223)) % 0.48/0.86 (define @t225 () (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t213 @t224)))))) % 0.48/0.86 (define @t226 () (_ @t192 @t223)) % 0.48/0.86 (define @t227 () (@list @t223)) % 0.48/0.86 (define @t228 () (=> @t220 (= @t195 @t219))) % 0.48/0.86 (define @t229 () (forall @t8 (=> @t7 (= @t202 @t202)))) % 0.48/0.86 (define @t230 () (forall @t209 (=> @t208 (forall @t8 (=> @t7 (= (_ (_ @t201 (_ @t210 (lambda @t36 (_ @t206 @t12)))) @t4) @t207)))))) % 0.48/0.86 (define @t231 () (= (_ @t210 (lambda @t8 @t202)) @t195)) % 0.48/0.86 (define @t232 () (not @t66)) % 0.48/0.86 (define @t233 () (_ @t60 (lambda (@list @t86) (or (and @t66 @t88) (and @t232 @t87))))) % 0.48/0.86 (define @t234 () (@list @t2 @t66 @t4)) % 0.48/0.86 (define @t235 () (_ (_ (_ (_ tptp.if @t2) @t66) @t4) @t12)) % 0.48/0.86 (define @t236 () (_ tptp.in @t235)) % 0.48/0.86 (define @t237 () (@var "Y" $$unsorted)) % 0.48/0.86 (define @t238 () (_ (_ tptp.binintersect @t160) @t237)) % 0.48/0.86 (define @t239 () (_ tptp.in @t238)) % 0.48/0.86 (define @t240 () (_ tptp.in @t237)) % 0.48/0.86 (define @t241 () (_ @t240 @t23)) % 0.48/0.86 (define @t242 () (@list @t237)) % 0.48/0.86 (define @t243 () (_ @t162 @t23)) % 0.48/0.86 (define @t244 () (@list @t2 @t160)) % 0.48/0.86 (define @t245 () (_ tptp.binunion @t160)) % 0.48/0.86 (define @t246 () (_ @t245 @t237)) % 0.48/0.86 (define @t247 () (_ @t139 @t160)) % 0.48/0.86 (define @t248 () (_ tptp.in @t247)) % 0.48/0.86 (define @t249 () (_ @t5 @t237)) % 0.48/0.86 (define @t250 () (=> @t161 @t249)) % 0.48/0.86 (define @t251 () (forall @t8 (=> @t7 @t250))) % 0.48/0.86 (define @t252 () (_ tptp.subset @t160)) % 0.48/0.86 (define @t253 () (_ @t252 @t237)) % 0.48/0.86 (define @t254 () (_ @t162 (_ tptp.powerset @t237))) % 0.48/0.86 (define @t255 () (_ @t5 @t247)) % 0.48/0.86 (define @t256 () (not @t255)) % 0.48/0.86 (define @t257 () (_ @t5 @t238)) % 0.48/0.86 (define @t258 () (not @t257)) % 0.48/0.86 (define @t259 () (not @t161)) % 0.48/0.86 (define @t260 () (not @t249)) % 0.48/0.86 (define @t261 () (_ @t139 @t237)) % 0.48/0.86 (define @t262 () (_ @t252 @t261)) % 0.48/0.86 (define @t263 () (_ (_ tptp.subset @t261) @t247)) % 0.48/0.86 (define @t264 () (_ @t139 @t247)) % 0.48/0.86 (define @t265 () (_ @t5 @t264)) % 0.48/0.86 (define @t266 () (_ @t139 @t238)) % 0.48/0.86 (define @t267 () (_ @t5 @t246)) % 0.48/0.86 (define @t268 () (not @t267)) % 0.48/0.86 (define @t269 () (@var "Z" $$unsorted)) % 0.48/0.86 (define @t270 () (_ @t245 @t269)) % 0.48/0.86 (define @t271 () (_ (_ tptp.in @t269) @t23)) % 0.48/0.86 (define @t272 () (@list @t269)) % 0.48/0.86 (define @t273 () (_ (_ tptp.binunion @t237) @t269)) % 0.48/0.86 (define @t274 () (_ (_ tptp.binintersect @t270) @t273)) % 0.48/0.86 (define @t275 () (_ @t139 @t246)) % 0.48/0.86 (define @t276 () (_ @t5 @t275)) % 0.48/0.86 (define @t277 () (=> @t276 @t255)) % 0.48/0.86 (define @t278 () (forall @t8 (=> @t7 @t277))) % 0.48/0.86 (define @t279 () (=> @t241 @t278)) % 0.48/0.86 (define @t280 () (forall @t242 @t279)) % 0.48/0.86 (define @t281 () (=> @t243 @t280)) % 0.48/0.86 (define @t282 () (forall @t244 @t281)) % 0.48/0.86 (define @t283 () (= tptp.inComplementUnionImpInComplement1 @t282)) % 0.48/0.86 (define @t284 () (=> tptp.binunionTEcontra @t282)) % 0.48/0.86 (define @t285 () (=> tptp.binunionTE @t284)) % 0.48/0.86 (define @t286 () (=> tptp.inComplementUnionImpInComplement1 @t285)) % 0.48/0.86 (define @t287 () (=> tptp.inComplementUnionImpNotIn1 @t286)) % 0.48/0.86 (define @t288 () (=> tptp.intersectInPowersetIntersectUnions @t287)) % 0.48/0.86 (define @t289 () (=> tptp.inIntersectImpInIntersectUnions @t288)) % 0.48/0.86 (define @t290 () (=> tptp.inIntersectImpInUnion2 @t289)) % 0.48/0.86 (define @t291 () (=> tptp.inIntersectImpInUnion @t290)) % 0.48/0.86 (define @t292 () (=> tptp.binunionTIRcontra @t291)) % 0.48/0.86 (define @t293 () (=> tptp.binunionTILcontra @t292)) % 0.48/0.86 (define @t294 () (=> tptp.complementTcontraSubset @t293)) % 0.48/0.86 (define @t295 () (=> tptp.contraSubsetComplement @t294)) % 0.48/0.86 (define @t296 () (=> tptp.complementInPowersetComplementIntersect @t295)) % 0.48/0.86 (define @t297 () (=> tptp.complementSubsetComplementIntersect @t296)) % 0.48/0.86 (define @t298 () (=> tptp.complementImpComplementIntersect @t297)) % 0.48/0.86 (define @t299 () (=> tptp.complementTnotintersectT @t298)) % 0.48/0.86 (define @t300 () (=> tptp.doubleComplementEq @t299)) % 0.48/0.86 (define @t301 () (=> tptp.doubleComplementSub2 @t300)) % 0.48/0.86 (define @t302 () (=> tptp.doubleComplementSub1 @t301)) % 0.48/0.86 (define @t303 () (=> tptp.doubleComplementE1 @t302)) % 0.48/0.86 (define @t304 () (=> tptp.doubleComplementI1 @t303)) % 0.48/0.86 (define @t305 () (=> tptp.contrasubsetT3 @t304)) % 0.48/0.86 (define @t306 () (=> tptp.contrasubsetT2 @t305)) % 0.48/0.86 (define @t307 () (=> tptp.contrasubsetT1 @t306)) % 0.48/0.86 (define @t308 () (=> tptp.contrasubsetT @t307)) % 0.48/0.86 (define @t309 () (=> tptp.binintersectTERcontra @t308)) % 0.48/0.86 (define @t310 () (=> tptp.binintersectTELcontra @t309)) % 0.48/0.86 (define @t311 () (=> tptp.complementTE1 @t310)) % 0.48/0.86 (define @t312 () (=> tptp.complementTI1 @t311)) % 0.48/0.86 (define @t313 () (=> tptp.powersetTE1 @t312)) % 0.48/0.86 (define @t314 () (=> tptp.powersetTI1 @t313)) % 0.48/0.86 (define @t315 () (=> tptp.subsetTI @t314)) % 0.48/0.86 (define @t316 () (=> tptp.setextT @t315)) % 0.48/0.86 (define @t317 () (=> tptp.complementT_lem @t316)) % 0.48/0.86 (define @t318 () (=> tptp.setminusT_lem @t317)) % 0.48/0.86 (define @t319 () (=> tptp.powersetT_lem @t318)) % 0.48/0.86 (define @t320 () (=> tptp.binunionT_lem @t319)) % 0.48/0.86 (define @t321 () (=> tptp.binintersectT_lem @t320)) % 0.48/0.86 (define @t322 () (=> tptp.iftrueorfalse @t321)) % 0.48/0.86 (define @t323 () (=> tptp.iffalse @t322)) % 0.48/0.86 (define @t324 () (=> tptp.iftrue @t323)) % 0.48/0.86 (define @t325 () (=> tptp.theeq @t324)) % 0.48/0.86 (define @t326 () (=> tptp.ifp @t325)) % 0.48/0.86 (define @t327 () (=> tptp.ifSingleton @t326)) % 0.48/0.86 (define @t328 () (=> tptp.iftrueProp2 @t327)) % 0.48/0.86 (define @t329 () (=> tptp.iftrueProp1 @t328)) % 0.48/0.86 (define @t330 () (=> tptp.iffalseProp2 @t329)) % 0.48/0.86 (define @t331 () (=> tptp.iffalseProp1 @t330)) % 0.48/0.86 (define @t332 () (=> tptp.eta2 @t331)) % 0.48/0.86 (define @t333 () (=> tptp.beta2 @t332)) % 0.48/0.86 (define @t334 () (=> tptp.lam2lamEq @t333)) % 0.48/0.86 (define @t335 () (=> tptp.eta1 @t334)) % 0.48/0.86 (define @t336 () (=> tptp.beta1 @t335)) % 0.48/0.86 (define @t337 () (=> tptp.ap2apEq2 @t336)) % 0.48/0.86 (define @t338 () (=> tptp.ap2apEq1 @t337)) % 0.48/0.86 (define @t339 () (=> tptp.funcext2 @t338)) % 0.48/0.86 (define @t340 () (=> tptp.funcext @t339)) % 0.48/0.86 (define @t341 () (=> tptp.eqbreln @t340)) % 0.48/0.86 (define @t342 () (=> tptp.subbreln @t341)) % 0.48/0.86 (define @t343 () (=> tptp.funcGraphProp4 @t342)) % 0.48/0.86 (define @t344 () (=> tptp.funcextLem @t343)) % 0.48/0.86 (define @t345 () (=> tptp.funcGraphProp2 @t344)) % 0.48/0.86 (define @t346 () (=> tptp.funcGraphProp3 @t345)) % 0.48/0.86 (define @t347 () (=> tptp.funcGraphProp1 @t346)) % 0.48/0.86 (define @t348 () (=> tptp.ex1E2 @t347)) % 0.48/0.86 (define @t349 () (=> tptp.brelnall2 @t348)) % 0.48/0.86 (define @t350 () (=> tptp.brelnall1 @t349)) % 0.48/0.86 (define @t351 () (=> tptp.lam2p @t350)) % 0.48/0.86 (define @t352 () (=> tptp.lamp @t351)) % 0.48/0.86 (define @t353 () (=> tptp.lamProp @t352)) % 0.48/0.86 (define @t354 () (=> tptp.funcinfuncset @t353)) % 0.48/0.86 (define @t355 () (=> tptp.ap2p @t354)) % 0.48/0.86 (define @t356 () (=> tptp.infuncsetfunc @t355)) % 0.48/0.86 (define @t357 () (=> tptp.app @t356)) % 0.48/0.86 (define @t358 () (=> tptp.apProp @t357)) % 0.48/0.86 (define @t359 () (=> tptp.funcImageSingleton @t358)) % 0.48/0.86 (define @t360 () (=> tptp.dpsetconstrER @t359)) % 0.48/0.86 (define @t361 () (=> tptp.dpsetconstrEL2 @t360)) % 0.48/0.86 (define @t362 () (=> tptp.dpsetconstrEL1 @t361)) % 0.48/0.86 (define @t363 () (=> tptp.dpsetconstrERa @t362)) % 0.48/0.86 (define @t364 () (=> tptp.setOfPairsIsBReln @t363)) % 0.48/0.86 (define @t365 () (=> tptp.dpsetconstrSub @t364)) % 0.48/0.86 (define @t366 () (=> tptp.dpsetconstrI @t365)) % 0.48/0.86 (define @t367 () (=> tptp.cartprodpairsurjEq @t366)) % 0.48/0.86 (define @t368 () (=> tptp.cartprodsndpairEq @t367)) % 0.48/0.86 (define @t369 () (=> tptp.cartprodfstpairEq @t368)) % 0.48/0.86 (define @t370 () (=> tptp.cartprodmempaircEq @t369)) % 0.48/0.86 (define @t371 () (=> tptp.cartprodpairmemER @t370)) % 0.48/0.86 (define @t372 () (=> tptp.cartprodpairmemEL @t371)) % 0.48/0.86 (define @t373 () (=> tptp.cartprodsndin @t372)) % 0.48/0.86 (define @t374 () (=> tptp.kpairsurjEq @t373)) % 0.48/0.86 (define @t375 () (=> tptp.ksndpairEq @t374)) % 0.48/0.86 (define @t376 () (=> tptp.ksndsingleton @t375)) % 0.48/0.86 (define @t377 () (=> tptp.setukpairinjR @t376)) % 0.48/0.86 (define @t378 () (=> tptp.setukpairinjR2 @t377)) % 0.48/0.86 (define @t379 () (=> tptp.upairequniteq @t378)) % 0.48/0.86 (define @t380 () (=> tptp.setukpairinjR1 @t379)) % 0.48/0.86 (define @t381 () (=> tptp.setukpairinjR12 @t380)) % 0.48/0.86 (define @t382 () (=> tptp.setukpairinjR11 @t381)) % 0.48/0.86 (define @t383 () (=> tptp.setukpairinjL @t382)) % 0.48/0.86 (define @t384 () (=> tptp.setukpairinjL2 @t383)) % 0.48/0.86 (define @t385 () (=> tptp.cartprodfstin @t384)) % 0.48/0.86 (define @t386 () (=> tptp.kfstpairEq @t385)) % 0.48/0.86 (define @t387 () (=> tptp.theprop @t386)) % 0.48/0.86 (define @t388 () (=> tptp.kfstsingleton @t387)) % 0.48/0.86 (define @t389 () (=> tptp.setukpairinjL1 @t388)) % 0.48/0.86 (define @t390 () (=> tptp.singletonsuniq @t389)) % 0.48/0.86 (define @t391 () (=> tptp.ex1I2 @t390)) % 0.48/0.86 (define @t392 () (=> tptp.ex1I @t391)) % 0.48/0.86 (define @t393 () (=> tptp.ex1E1 @t392)) % 0.48/0.86 (define @t394 () (=> tptp.singletonprop @t393)) % 0.48/0.86 (define @t395 () (=> tptp.setunionsingleton @t394)) % 0.48/0.86 (define @t396 () (=> tptp.setunionsingleton2 @t395)) % 0.48/0.86 (define @t397 () (=> tptp.setunionsingleton1 @t396)) % 0.48/0.86 (define @t398 () (=> tptp.setunionE2 @t397)) % 0.48/0.86 (define @t399 () (=> tptp.cartprodmempair @t398)) % 0.48/0.86 (define @t400 () (=> tptp.cartprodmempair1 @t399)) % 0.48/0.86 (define @t401 () (=> tptp.cartprodpairin @t400)) % 0.48/0.86 (define @t402 () (=> tptp.ubforcartprodlem3 @t401)) % 0.48/0.86 (define @t403 () (=> tptp.ubforcartprodlem2 @t402)) % 0.48/0.86 (define @t404 () (=> tptp.ubforcartprodlem1 @t403)) % 0.48/0.86 (define @t405 () (=> tptp.upairinpowunion @t404)) % 0.48/0.86 (define @t406 () (=> tptp.upairsubunion @t405)) % 0.48/0.86 (define @t407 () (=> tptp.upairset2E @t406)) % 0.48/0.86 (define @t408 () (=> tptp.singletoninpowunion @t407)) % 0.48/0.86 (define @t409 () (=> tptp.singletoninpowerset @t408)) % 0.48/0.86 (define @t410 () (=> tptp.singletonsubset @t409)) % 0.48/0.86 (define @t411 () (=> tptp.kpairp @t410)) % 0.48/0.86 (define @t412 () (=> tptp.kpairiskpair @t411)) % 0.48/0.86 (define @t413 () (=> tptp.setukpairIR @t412)) % 0.48/0.86 (define @t414 () (=> tptp.setukpairIL @t413)) % 0.48/0.86 (define @t415 () (=> tptp.secondinupair @t414)) % 0.48/0.86 (define @t416 () (=> tptp.symdiffIneg2 @t415)) % 0.48/0.86 (define @t417 () (=> tptp.symdiffIneg1 @t416)) % 0.48/0.86 (define @t418 () (=> tptp.symdiffI2 @t417)) % 0.48/0.86 (define @t419 () (=> tptp.symdiffI1 @t418)) % 0.48/0.86 (define @t420 () (=> tptp.symdiffE @t419)) % 0.48/0.86 (define @t421 () (=> tptp.setminusSubset1 @t420)) % 0.48/0.86 (define @t422 () (=> tptp.setminusLsub @t421)) % 0.48/0.86 (define @t423 () (=> tptp.setminusIRneg @t422)) % 0.48/0.86 (define @t424 () (=> tptp.setminusILneg @t423)) % 0.48/0.86 (define @t425 () (=> tptp.setminusELneg @t424)) % 0.48/0.86 (define @t426 () (=> tptp.setminusERneg @t425)) % 0.48/0.86 (define @t427 () (=> tptp.setminusSubset2 @t426)) % 0.48/0.86 (define @t428 () (=> tptp.setminusER @t427)) % 0.48/0.86 (define @t429 () (=> tptp.setminusEL @t428)) % 0.48/0.86 (define @t430 () (=> tptp.setminusI @t429)) % 0.48/0.86 (define @t431 () (=> tptp.bs114d @t430)) % 0.48/0.86 (define @t432 () (=> tptp.binintersectSubset1 @t431)) % 0.48/0.86 (define @t433 () (=> tptp.binintersectSubset4 @t432)) % 0.48/0.86 (define @t434 () (=> tptp.binintersectRsub @t433)) % 0.48/0.86 (define @t435 () (=> tptp.disjointsetsI1 @t434)) % 0.48/0.86 (define @t436 () (=> tptp.binintersectER @t435)) % 0.48/0.86 (define @t437 () (=> tptp.binintersectSubset3 @t436)) % 0.48/0.86 (define @t438 () (=> tptp.binintersectSubset2 @t437)) % 0.48/0.86 (define @t439 () (=> tptp.binintersectLsub @t438)) % 0.48/0.86 (define @t440 () (=> tptp.binintersectEL @t439)) % 0.48/0.86 (define @t441 () (=> tptp.binintersectSubset5 @t440)) % 0.48/0.86 (define @t442 () (=> tptp.binintersectI @t441)) % 0.48/0.86 (define @t443 () (=> tptp.binunionRsub @t442)) % 0.48/0.86 (define @t444 () (=> tptp.binunionLsub @t443)) % 0.48/0.86 (define @t445 () (=> tptp.binunionE @t444)) % 0.48/0.86 (define @t446 () (=> tptp.binunionEcases @t445)) % 0.48/0.86 (define @t447 () (=> tptp.binunionIR @t446)) % 0.48/0.86 (define @t448 () (=> tptp.upairset2IR @t447)) % 0.48/0.86 (define @t449 () (=> tptp.binunionIL @t448)) % 0.48/0.86 (define @t450 () (=> tptp.sepSubset @t449)) % 0.48/0.86 (define @t451 () (=> tptp.sepInPowerset @t450)) % 0.48/0.86 (define @t452 () (=> tptp.powersetsubset @t451)) % 0.48/0.86 (define @t453 () (=> tptp.inPowerset @t452)) % 0.48/0.86 (define @t454 () (=> tptp.powersetE1 @t453)) % 0.48/0.86 (define @t455 () (=> tptp.powersetI1 @t454)) % 0.48/0.86 (define @t456 () (=> tptp.subsetemptysetimpeq @t455)) % 0.48/0.86 (define @t457 () (=> tptp.setextsub @t456)) % 0.48/0.86 (define @t458 () (=> tptp.subset2powerset @t457)) % 0.48/0.86 (define @t459 () (=> tptp.setadjoinSub2 @t458)) % 0.48/0.86 (define @t460 () (=> tptp.setadjoinSub @t459)) % 0.48/0.86 (define @t461 () (=> tptp.subsetTrans @t460)) % 0.48/0.86 (define @t462 () (=> tptp.subsetRefl @t461)) % 0.48/0.86 (define @t463 () (=> tptp.notequalI2 @t462)) % 0.48/0.86 (define @t464 () (=> tptp.notequalI1 @t463)) % 0.48/0.86 (define @t465 () (=> tptp.notsubsetI @t464)) % 0.48/0.86 (define @t466 () (=> tptp.subsetE2 @t465)) % 0.48/0.86 (define @t467 () (=> tptp.subsetE @t466)) % 0.48/0.86 (define @t468 () (=> tptp.emptysetsubset @t467)) % 0.48/0.86 (define @t469 () (=> tptp.subsetI2 @t468)) % 0.48/0.86 (define @t470 () (=> tptp.eqimpsubset1 @t469)) % 0.48/0.86 (define @t471 () (=> tptp.eqimpsubset2 @t470)) % 0.48/0.86 (define @t472 () (=> tptp.subsetI1 @t471)) % 0.48/0.86 (define @t473 () (=> tptp.dsetconstr__Cong @t472)) % 0.48/0.86 (define @t474 () (=> tptp.descr__Cong @t473)) % 0.48/0.86 (define @t475 () (=> tptp.exuEu @t474)) % 0.48/0.86 (define @t476 () (=> tptp.omega__Cong @t475)) % 0.48/0.86 (define @t477 () (=> tptp.setunion__Cong @t476)) % 0.48/0.86 (define @t478 () (=> tptp.powerset__Cong @t477)) % 0.48/0.86 (define @t479 () (=> tptp.setadjoin__Cong @t478)) % 0.48/0.86 (define @t480 () (=> tptp.emptyset__Cong @t479)) % 0.48/0.86 (define @t481 () (=> tptp.exu__Cong @t480)) % 0.48/0.86 (define @t482 () (=> tptp.exuE3u @t481)) % 0.48/0.86 (define @t483 () (=> tptp.in__Cong @t482)) % 0.48/0.86 (define @t484 () (=> tptp.inCongP @t483)) % 0.48/0.86 (define @t485 () (=> tptp.exuI2 @t484)) % 0.48/0.86 (define @t486 () (=> tptp.exuI3 @t485)) % 0.48/0.86 (define @t487 () (=> tptp.exuI1 @t486)) % 0.48/0.86 (define @t488 () (=> tptp.notdallE @t487)) % 0.48/0.86 (define @t489 () (=> tptp.notdexE @t488)) % 0.48/0.86 (define @t490 () (=> tptp.prop2set2propI @t489)) % 0.48/0.86 (define @t491 () (=> tptp.prop2setI @t490)) % 0.48/0.86 (define @t492 () (=> tptp.quantDeMorgan4 @t491)) % 0.48/0.86 (define @t493 () (=> tptp.quantDeMorgan3 @t492)) % 0.48/0.86 (define @t494 () (=> tptp.quantDeMorgan2 @t493)) % 0.48/0.86 (define @t495 () (=> tptp.quantDeMorgan1 @t494)) % 0.48/0.86 (define @t496 () (=> tptp.vacuousDall @t495)) % 0.48/0.86 (define @t497 () (=> tptp.emptyE1 @t496)) % 0.48/0.86 (define @t498 () (=> tptp.upairsetIR @t497)) % 0.48/0.86 (define @t499 () (=> tptp.upairsetIL @t498)) % 0.48/0.86 (define @t500 () (=> tptp.upairsetE @t499)) % 0.48/0.86 (define @t501 () (=> tptp.singletonsswitch @t500)) % 0.48/0.86 (define @t502 () (=> tptp.eqinunit @t501)) % 0.48/0.86 (define @t503 () (=> tptp.notinsingleton @t502)) % 0.48/0.86 (define @t504 () (=> tptp.uniqinunit @t503)) % 0.48/0.86 (define @t505 () (=> tptp.nonemptyImpWitness @t504)) % 0.48/0.86 (define @t506 () (=> tptp.exuE2 @t505)) % 0.48/0.86 (define @t507 () (=> tptp.subPowSU @t506)) % 0.48/0.86 (define @t508 () (=> tptp.setunionE @t507)) % 0.48/0.86 (define @t509 () (=> tptp.setunionI @t508)) % 0.48/0.86 (define @t510 () (=> tptp.powersetE @t509)) % 0.48/0.86 (define @t511 () (=> tptp.emptyInPowerset @t510)) % 0.48/0.86 (define @t512 () (=> tptp.emptyinPowerset @t511)) % 0.48/0.86 (define @t513 () (=> tptp.powersetI @t512)) % 0.48/0.86 (define @t514 () (=> tptp.setoftrueEq @t513)) % 0.48/0.86 (define @t515 () (=> tptp.setadjoinOr @t514)) % 0.48/0.86 (define @t516 () (=> tptp.setadjoinE @t515)) % 0.48/0.86 (define @t517 () (=> tptp.setadjoinIR @t516)) % 0.48/0.86 (define @t518 () (=> tptp.emptyinunitempty @t517)) % 0.48/0.86 (define @t519 () (=> tptp.setadjoinIL @t518)) % 0.48/0.86 (define @t520 () (=> tptp.nonemptyI1 @t519)) % 0.48/0.86 (define @t521 () (=> tptp.nonemptyI @t520)) % 0.48/0.86 (define @t522 () (=> tptp.nonemptyE1 @t521)) % 0.48/0.86 (define @t523 () (=> tptp.setbeta @t522)) % 0.48/0.86 (define @t524 () (=> tptp.noeltsimpempty @t523)) % 0.48/0.86 (define @t525 () (=> tptp.emptyI @t524)) % 0.48/0.86 (define @t526 () (=> tptp.setext @t525)) % 0.48/0.86 (define @t527 () (=> tptp.exuE3e @t526)) % 0.48/0.86 (define @t528 () (=> tptp.notinemptyset @t527)) % 0.48/0.86 (define @t529 () (=> tptp.emptysetimpfalse @t528)) % 0.48/0.86 (define @t530 () (=> tptp.emptysetE @t529)) % 0.48/0.86 (define @t531 () (=> tptp.prop2setE @t530)) % 0.48/0.86 (define @t532 () (=> tptp.exuE1 @t531)) % 0.48/0.86 (define @t533 () (=> tptp.dsetconstrER @t532)) % 0.48/0.86 (define @t534 () (=> tptp.dsetconstrEL @t533)) % 0.48/0.86 (define @t535 () (=> tptp.dsetconstrI @t534)) % 0.48/0.86 (define @t536 () (=> tptp.descrp @t535)) % 0.48/0.86 (define @t537 () (=> tptp.wellorderingAx @t536)) % 0.48/0.86 (define @t538 () (=> tptp.foundationAx @t537)) % 0.48/0.86 (define @t539 () (=> tptp.replAx @t538)) % 0.48/0.86 (define @t540 () (=> tptp.omegaIndAx @t539)) % 0.48/0.86 (define @t541 () (=> tptp.omegaSAx @t540)) % 0.48/0.86 (define @t542 () (=> tptp.omega0Ax @t541)) % 0.48/0.86 (define @t543 () (=> tptp.setunionAx @t542)) % 0.48/0.86 (define @t544 () (=> tptp.powersetAx @t543)) % 0.48/0.86 (define @t545 () (=> tptp.setadjoinAx @t544)) % 0.48/0.86 (define @t546 () (=> tptp.emptysetAx @t545)) % 0.48/0.86 (define @t547 () (=> tptp.setextAx @t546)) % 0.48/0.86 (define @t548 () (not @t547)) % 0.48/0.86 (define @t549 () (lambda @t57 @t65)) % 0.48/0.86 (define @t550 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.48/0.86 (define @t551 () (lambda @t95 @t165)) % 0.48/0.86 (define @t552 () (lambda @t127 (_ @t135 @t155))) % 0.48/0.86 (define @t553 () (tptp.setminus @t2 @t160)) % 0.48/0.86 (define @t554 () (@var "BOUND_VARIABLE_15242" $$unsorted)) % 0.48/0.86 (define @t555 () (tptp.in @t554 @t553)) % 0.48/0.86 (define @t556 () (@var "BOUND_VARIABLE_15240" $$unsorted)) % 0.48/0.86 (define @t557 () (not (tptp.in @t554 (tptp.setminus @t2 (tptp.binunion @t160 @t556))))) % 0.48/0.86 (define @t558 () (not (tptp.in @t554 @t2))) % 0.48/0.86 (define @t559 () (tptp.powerset @t2)) % 0.48/0.86 (define @t560 () (not (tptp.in @t556 @t559))) % 0.48/0.86 (define @t561 () (tptp.in @t160 @t559)) % 0.48/0.86 (define @t562 () (not @t561)) % 0.48/0.86 (define @t563 () (or @t560 @t558 @t557 @t555)) % 0.48/0.86 (define @t564 () (or @t562 @t563)) % 0.48/0.86 (define @t565 () (forall (@list @t2 @t160 @t556 @t554) @t564)) % 0.48/0.86 (define @t566 () (@list @t556 @t554)) % 0.48/0.86 (define @t567 () (forall @t566 @t564)) % 0.48/0.86 (define @t568 () (forall @t566 @t563)) % 0.48/0.86 (define @t569 () (@var "BOUND_VARIABLE_15221" $$unsorted)) % 0.48/0.86 (define @t570 () (or @t562 @t568)) % 0.48/0.86 (define @t571 () (tptp.in @t569 @t553)) % 0.48/0.86 (define @t572 () (tptp.binunion @t160 @t237)) % 0.48/0.86 (define @t573 () (tptp.setminus @t2 @t572)) % 0.48/0.86 (define @t574 () (not (tptp.in @t569 @t573))) % 0.48/0.86 (define @t575 () (not (tptp.in @t569 @t2))) % 0.48/0.86 (define @t576 () (tptp.in @t237 @t559)) % 0.48/0.86 (define @t577 () (not @t576)) % 0.48/0.86 (define @t578 () (or @t577 @t575 @t574 @t571)) % 0.48/0.86 (define @t579 () (@list @t237 @t569)) % 0.48/0.86 (define @t580 () (forall @t579 @t578)) % 0.48/0.86 (define @t581 () (not @t243)) % 0.48/0.86 (define @t582 () (or @t581 @t580)) % 0.48/0.86 (define @t583 () (or @t575 @t574 @t571)) % 0.48/0.86 (define @t584 () (or @t577 @t583)) % 0.48/0.86 (define @t585 () (forall @t579 @t584)) % 0.48/0.86 (define @t586 () (@list @t569)) % 0.48/0.86 (define @t587 () (forall @t586 @t584)) % 0.48/0.86 (define @t588 () (forall @t586 @t583)) % 0.48/0.86 (define @t589 () (or @t577 @t588)) % 0.48/0.86 (define @t590 () (tptp.in @t4 @t553)) % 0.48/0.86 (define @t591 () (tptp.in @t4 @t573)) % 0.48/0.86 (define @t592 () (tptp.in @t4 @t2)) % 0.48/0.86 (define @t593 () (forall @t8 (or (not @t592) (not @t591) @t590))) % 0.48/0.86 (define @t594 () (not @t241)) % 0.48/0.86 (define @t595 () (or @t594 @t593)) % 0.48/0.86 (define @t596 () (not @t276)) % 0.48/0.86 (define @t597 () (or @t74 @t596 @t255)) % 0.48/0.86 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.48/0.86 (assume @p2 (= tptp.emptysetAx @t11)) % 0.48/0.86 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.48/0.86 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.48/0.86 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.48/0.86 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.48/0.86 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.48/0.86 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.48/0.86 (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)))))))))) % 0.48/0.86 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t38 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.48/0.86 (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))))))))))))) % 0.48/0.86 (assume @p12 (= tptp.descrp (forall @t57 (=> @t56 (_ @t52 @t55))))) % 0.48/0.86 (assume @p13 (= tptp.dsetconstrI (forall @t63 (=> @t7 (=> @t53 @t62))))) % 0.48/0.86 (assume @p14 (= tptp.dsetconstrEL (forall @t63 (=> @t62 @t7)))) % 0.48/0.86 (assume @p15 (= tptp.dsetconstrER (forall @t63 (=> @t62 @t53)))) % 0.48/0.86 (assume @p16 (= tptp.exuE1 (forall @t57 (=> @t56 @t65)))) % 0.48/0.86 (assume @p17 (= tptp.prop2setE (forall @t68 (=> (_ @t5 @t67) @t66)))) % 0.48/0.86 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t69 @t66))))) % 0.48/0.86 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.48/0.86 (assume @p20 (= tptp.notinemptyset @t11)) % 0.48/0.86 (assume @p21 (= tptp.exuE3e (forall @t57 (=> @t56 @t70)))) % 0.48/0.86 (assume @p22 (= tptp.setext (forall @t9 (=> @t72 (=> @t22 @t3))))) % 0.48/0.86 (assume @p23 (= tptp.emptyI @t75)) % 0.48/0.86 (assume @p24 (= tptp.noeltsimpempty @t75)) % 0.48/0.86 (assume @p25 (= tptp.setbeta (forall @t63 (=> @t7 (= @t62 @t53))))) % 0.48/0.86 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t76 @t38)))) % 0.48/0.86 (assume @p27 (= tptp.nonemptyI (forall @t63 (=> @t7 (=> @t53 (_ tptp.nonempty @t61)))))) % 0.48/0.86 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t38 @t76)))) % 0.48/0.86 (assume @p29 (= tptp.setadjoinIL (forall @t51 (_ @t5 (_ @t17 @t12))))) % 0.48/0.86 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.48/0.86 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.48/0.86 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t69 (=> (=> @t15 @t66) (=> (=> @t14 @t66) @t66))))))) % 0.48/0.86 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.48/0.86 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t60 (lambda @t8 true)) @t2)))) % 0.48/0.86 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.48/0.86 (assume @p36 (= tptp.emptyinPowerset @t77)) % 0.48/0.86 (assume @p37 (= tptp.emptyInPowerset @t77)) % 0.48/0.86 (assume @p38 (= tptp.powersetE (forall @t78 (=> @t25 @t21)))) % 0.48/0.86 (assume @p39 (= tptp.setunionI (forall @t79 (=> @t6 (=> @t26 @t29))))) % 0.48/0.86 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t69 (=> (forall @t27 (=> @t6 (=> @t26 @t66))) @t66)))))) % 0.48/0.86 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.48/0.86 (assume @p42 (= tptp.exuE2 (forall @t57 (=> @t56 @t80)))) % 0.48/0.86 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t76 (exists @t8 (and @t7 true)))))) % 0.48/0.86 (assume @p44 (= tptp.uniqinunit (forall @t51 (=> @t83 @t50)))) % 0.48/0.86 (assume @p45 (= tptp.notinsingleton (forall @t51 (=> (not @t50) (not @t85))))) % 0.48/0.86 (assume @p46 (= tptp.eqinunit (forall @t51 (=> @t50 @t83)))) % 0.48/0.86 (assume @p47 (= tptp.singletonsswitch (forall @t51 (=> @t83 @t85)))) % 0.48/0.86 (assume @p48 (= tptp.upairsetE @t91)) % 0.48/0.86 (assume @p49 (= tptp.upairsetIL (forall @t51 (_ @t5 @t89)))) % 0.48/0.86 (assume @p50 (= tptp.upairsetIR @t92)) % 0.48/0.86 (assume @p51 (= tptp.emptyE1 (forall @t95 (=> @t94 (=> (= @t93 tptp.emptyset) false))))) % 0.48/0.86 (assume @p52 (= tptp.vacuousDall (forall (@list @t52 @t4) (=> @t10 @t53)))) % 0.48/0.86 (assume @p53 (= tptp.quantDeMorgan1 @t99)) % 0.48/0.86 (assume @p54 (= tptp.quantDeMorgan2 (forall @t95 (=> @t101 @t100)))) % 0.48/0.86 (assume @p55 (= tptp.quantDeMorgan3 @t102)) % 0.48/0.86 (assume @p56 (= tptp.quantDeMorgan4 (forall @t95 (=> @t97 @t98)))) % 0.48/0.86 (assume @p57 (= tptp.prop2setI (forall @t69 (=> @t66 (_ @t31 @t67))))) % 0.48/0.86 (assume @p58 (= tptp.prop2set2propI (forall @t69 (=> @t66 (_ tptp.set2prop @t67))))) % 0.48/0.86 (assume @p59 (= tptp.notdexE @t102)) % 0.48/0.86 (assume @p60 (= tptp.notdallE @t99)) % 0.48/0.86 (assume @p61 (= tptp.exuI1 (forall @t57 (=> @t65 @t56)))) % 0.48/0.86 (assume @p62 (= tptp.exuI3 (forall @t57 (=> @t70 (=> @t104 @t56))))) % 0.48/0.86 (assume @p63 (= tptp.exuI2 (forall @t57 (=> @t80 @t56)))) % 0.48/0.86 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t51 (=> @t50 (=> @t7 @t105))))))) % 0.48/0.86 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t51 (=> @t50 (= @t7 @t105))))))) % 0.48/0.86 (assume @p66 (= tptp.exuE3u @t106)) % 0.48/0.86 (assume @p67 (= tptp.exu__Cong (forall @t112 (=> @t111 (= @t56 @t109))))) % 0.48/0.86 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.48/0.86 (assume @p69 (= tptp.setadjoin__Cong (forall @t51 (=> @t50 (forall @t115 (=> @t114 (= (_ @t17 @t86) (_ @t81 @t113)))))))) % 0.48/0.86 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t116))))) % 0.48/0.86 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.48/0.86 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.48/0.86 (assume @p73 (= tptp.exuEu @t106)) % 0.48/0.86 (assume @p74 (= tptp.descr__Cong (forall @t112 (=> @t111 (=> @t56 (=> @t109 (= @t55 (_ tptp.descr @t108)))))))) % 0.48/0.86 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t112 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 @t110)))) (= @t93 (_ @t117 @t108)))))))) % 0.48/0.86 (assume @p76 (= tptp.subsetI1 @t120)) % 0.48/0.86 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t122)))) % 0.48/0.86 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t119)))) % 0.48/0.86 (assume @p79 (= tptp.subsetI2 @t120)) % 0.48/0.86 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.48/0.86 (assume @p81 (= tptp.subsetE (forall @t78 (=> @t119 @t71)))) % 0.48/0.86 (assume @p82 (= tptp.subsetE2 (forall @t78 (=> @t119 @t124)))) % 0.48/0.86 (assume @p83 (= tptp.notsubsetI (forall @t78 (=> @t7 (=> @t123 @t125))))) % 0.48/0.86 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t125 @t126)))) % 0.48/0.86 (assume @p85 (= tptp.notequalI2 (forall @t78 (=> @t7 (=> @t123 @t126))))) % 0.48/0.86 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t118 @t2)))) % 0.48/0.86 (assume @p87 (= tptp.subsetTrans (forall @t127 (=> @t119 (=> (_ @t121 @t42) (_ @t118 @t42)))))) % 0.48/0.86 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t118 @t18)))) % 0.48/0.86 (assume @p89 (= tptp.setadjoinSub2 (forall @t79 (=> @t119 (_ @t118 (_ @t17 @t1)))))) % 0.48/0.86 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t119 (_ @t128 @t116))))) % 0.48/0.86 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t119 (=> @t122 @t3))))) % 0.48/0.86 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t118 tptp.emptyset) @t73)))) % 0.48/0.86 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t122 @t25)))) % 0.48/0.86 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t122)))) % 0.48/0.86 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t128 @t23)))) % 0.48/0.86 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t119 (_ (_ tptp.subset @t23) @t116))))) % 0.48/0.86 (assume @p97 (= tptp.sepInPowerset (forall @t95 (_ (_ tptp.in @t93) @t23)))) % 0.48/0.86 (assume @p98 (= tptp.sepSubset (forall @t95 (_ (_ tptp.subset @t93) @t2)))) % 0.48/0.86 (assume @p99 (= tptp.binunionIL (forall @t78 (=> @t7 @t130)))) % 0.48/0.86 (assume @p100 (= tptp.upairset2IR @t92)) % 0.48/0.86 (assume @p101 (= tptp.binunionIR (forall @t78 (=> @t6 @t130)))) % 0.48/0.86 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t66) (=> @t130 (=> (=> @t7 @t66) (=> @t131 @t66)))))) % 0.48/0.86 (assume @p103 (= tptp.binunionE (forall @t78 (=> @t130 (or @t7 @t6))))) % 0.48/0.86 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t118 @t129)))) % 0.48/0.86 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t121 @t129)))) % 0.48/0.86 (assume @p106 (= tptp.binintersectI (forall @t78 (=> @t7 (=> @t6 @t134))))) % 0.48/0.86 (assume @p107 (= tptp.binintersectSubset5 (forall @t127 (=> (_ @t135 @t2) (=> (_ @t135 @t1) (_ @t135 @t133)))))) % 0.48/0.86 (assume @p108 (= tptp.binintersectEL (forall @t78 (=> @t134 @t7)))) % 0.48/0.86 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t136 @t2)))) % 0.48/0.86 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t119 @t137)))) % 0.48/0.86 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t138 @t122)))) % 0.48/0.86 (assume @p112 (= tptp.binintersectER (forall @t78 (=> @t134 @t6)))) % 0.48/0.86 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t133 tptp.emptyset))))) % 0.48/0.86 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t136 @t1)))) % 0.48/0.86 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t122 @t138)))) % 0.48/0.86 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t137 @t119)))) % 0.48/0.86 (assume @p117 (= tptp.bs114d (forall @t127 (= (_ @t132 (_ (_ tptp.binunion @t1) @t42)) (_ (_ tptp.binunion @t133) (_ @t132 @t42)))))) % 0.48/0.86 (assume @p118 (= tptp.setminusI (forall @t78 (=> @t7 (=> @t123 @t141))))) % 0.48/0.86 (assume @p119 (= tptp.setminusEL (forall @t78 (=> @t141 @t7)))) % 0.48/0.86 (assume @p120 (= tptp.setminusER (forall @t78 (=> @t141 @t123)))) % 0.48/0.86 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t119 @t142)))) % 0.48/0.86 (assume @p122 (= tptp.setminusERneg (forall @t78 (=> @t143 @t71)))) % 0.48/0.86 (assume @p123 (= tptp.setminusELneg (forall @t78 (=> @t143 @t124)))) % 0.48/0.86 (assume @p124 (= tptp.setminusILneg (forall @t78 (=> @t74 @t143)))) % 0.48/0.86 (assume @p125 (= tptp.setminusIRneg (forall @t78 (=> @t6 @t143)))) % 0.48/0.86 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t140) @t2)))) % 0.48/0.86 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t142 @t119)))) % 0.48/0.86 (assume @p128 (= tptp.symdiffE (forall @t78 (=> @t144 (forall @t69 (=> (=> @t7 (=> @t123 @t66)) (=> (=> @t74 @t131) @t66))))))) % 0.48/0.86 (assume @p129 (= tptp.symdiffI1 (forall @t78 (=> @t7 (=> @t123 @t144))))) % 0.48/0.86 (assume @p130 (= tptp.symdiffI2 (forall @t78 (=> @t74 (=> @t6 @t144))))) % 0.48/0.86 (assume @p131 (= tptp.symdiffIneg1 (forall @t78 (=> @t7 (=> @t6 @t145))))) % 0.48/0.86 (assume @p132 (= tptp.symdiffIneg2 (forall @t78 (=> @t74 (=> @t123 @t145))))) % 0.48/0.86 (assume @p133 (= tptp.secondinupair @t92)) % 0.48/0.86 (assume @p134 (= tptp.setukpairIL (forall @t51 (_ @t5 @t148)))) % 0.48/0.86 (assume @p135 (= tptp.setukpairIR (forall @t51 (_ @t13 @t148)))) % 0.48/0.86 (assume @p136 (= tptp.kpairiskpair (forall @t51 (_ tptp.iskpair @t147)))) % 0.48/0.86 (assume @p137 (= tptp.kpairp (forall @t51 (_ tptp.iskpair @t150)))) % 0.48/0.86 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t84) @t2))))) % 0.48/0.86 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t151 @t23))))) % 0.48/0.86 (assume @p140 (= tptp.singletoninpowunion (forall @t78 (=> @t7 (_ @t151 @t152))))) % 0.48/0.86 (assume @p141 (= tptp.upairset2E @t91)) % 0.48/0.86 (assume @p142 (= tptp.upairsubunion (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.subset @t89) @t129))))))) % 0.48/0.86 (assume @p143 (= tptp.upairinpowunion (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.in @t89) @t152))))))) % 0.48/0.86 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.subset @t147) @t152))))))) % 0.48/0.86 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ (_ tptp.in @t147) @t153))))))) % 0.48/0.86 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t78 (=> @t7 (forall @t36 (=> @t105 (_ @t154 @t153))))))) % 0.48/0.86 (assume @p147 (= tptp.cartprodpairin (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t156)))))) % 0.48/0.86 (assume @p148 (= tptp.cartprodmempair1 (forall @t158 (=> @t157 (exists @t8 (and @t7 (exists @t36 (and @t105 (= @t113 @t150))))))))) % 0.48/0.86 (assume @p149 (= tptp.cartprodmempair (forall @t158 (=> @t157 @t159)))) % 0.48/0.86 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t163 (and (_ @t162 @t2) @t161)))))) % 0.48/0.86 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t164) @t2)))) % 0.48/0.86 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t118 @t164)))) % 0.48/0.86 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t84) @t4)))) % 0.48/0.86 (assume @p154 (= tptp.singletonprop (forall @t95 (=> @t166 (=> @t94 @t165))))) % 0.48/0.86 (assume @p155 (= tptp.ex1E1 (forall @t95 (=> @t168 @t94)))) % 0.48/0.86 (assume @p156 (= tptp.ex1I (forall @t63 (=> @t7 (=> @t53 (=> (forall @t36 (=> @t14 (=> @t58 @t15))) (_ @t167 @t59))))))) % 0.48/0.86 (assume @p157 (= tptp.ex1I2 (forall @t95 (=> @t166 (=> @t94 @t168))))) % 0.48/0.86 (assume @p158 (= tptp.singletonsuniq (forall @t51 (=> (= @t84 @t82) @t50)))) % 0.48/0.86 (assume @p159 (= tptp.setukpairinjL1 (forall @t90 (=> (_ (_ tptp.in @t171) @t147) @t169)))) % 0.48/0.86 (assume @p160 (= tptp.kfstsingleton (forall @t173 (=> @t159 (_ tptp.singleton (_ @t172 (lambda @t8 (_ @t151 @t113)))))))) % 0.48/0.86 (assume @p161 (= tptp.theprop (forall @t163 (=> @t175 (_ (_ tptp.in @t174) @t160))))) % 0.48/0.86 (assume @p162 (= tptp.kfstpairEq (forall @t51 @t176))) % 0.48/0.86 (assume @p163 (= tptp.cartprodfstin (forall @t158 (=> @t157 (_ (_ tptp.in @t177) @t2))))) % 0.48/0.86 (assume @p164 (= tptp.setukpairinjL2 (forall @t179 (=> @t178 @t169)))) % 0.48/0.86 (assume @p165 (= tptp.setukpairinjL (forall @t179 (=> @t180 @t169)))) % 0.48/0.86 (assume @p166 (= tptp.setukpairinjR11 (forall @t51 (=> @t50 (= @t89 @t84))))) % 0.48/0.86 (assume @p167 (= tptp.setukpairinjR12 (forall @t51 (=> @t50 (= @t147 (_ @t146 tptp.emptyset)))))) % 0.48/0.86 (assume @p168 (= tptp.setukpairinjR1 (forall @t179 (=> @t178 (=> @t114 @t181))))) % 0.48/0.86 (assume @p169 (= tptp.upairequniteq (forall @t90 (=> (= @t89 @t171) @t50)))) % 0.48/0.86 (assume @p170 (= tptp.setukpairinjR2 (forall @t179 (=> @t178 @t181)))) % 0.48/0.86 (assume @p171 (= tptp.setukpairinjR (forall @t179 (=> @t180 @t181)))) % 0.48/0.86 (assume @p172 (= tptp.ksndsingleton (forall @t173 (=> @t159 (_ tptp.singleton (_ @t172 (lambda @t8 (= @t113 (_ @t182 @t4))))))))) % 0.48/0.86 (assume @p173 (= tptp.ksndpairEq (forall @t51 @t183))) % 0.48/0.86 (assume @p174 (= tptp.kpairsurjEq (forall @t173 (=> @t159 @t185)))) % 0.48/0.86 (assume @p175 (= tptp.cartprodsndin (forall @t158 (=> @t157 (_ (_ tptp.in @t184) @t1))))) % 0.48/0.86 (assume @p176 (= tptp.cartprodpairmemEL (forall @t186 (=> @t156 @t7)))) % 0.48/0.86 (assume @p177 (= tptp.cartprodpairmemER (forall @t186 (=> @t156 @t105)))) % 0.48/0.86 (assume @p178 (= tptp.cartprodmempaircEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 (= @t150 @t150))))))) % 0.48/0.86 (assume @p179 (= tptp.cartprodfstpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t176)))))) % 0.48/0.86 (assume @p180 (= tptp.cartprodsndpairEq (forall @t78 (=> @t7 (forall @t36 (=> @t105 @t183)))))) % 0.48/0.86 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t158 (=> @t157 @t185)))) % 0.48/0.86 (assume @p182 (= tptp.dpsetconstrI (forall @t189 (=> @t7 (forall @t36 (=> @t105 (=> @t37 @t188))))))) % 0.48/0.86 (assume @p183 (= tptp.dpsetconstrSub (forall @t191 (_ (_ tptp.subset @t190) @t155)))) % 0.48/0.86 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t191 (_ @t192 @t190)))) % 0.48/0.86 (assume @p185 (= tptp.dpsetconstrERa (forall @t189 (=> @t7 (forall @t36 (=> @t105 @t193)))))) % 0.48/0.86 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t194 (=> @t188 @t7)))) % 0.48/0.86 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t194 (=> @t188 @t105)))) % 0.48/0.86 (assume @p188 (= tptp.dpsetconstrER (forall @t194 @t193))) % 0.48/0.86 (assume @p189 (= tptp.funcImageSingleton (forall @t200 (=> @t199 (forall @t8 (=> @t7 (_ tptp.singleton @t197))))))) % 0.48/0.86 (assume @p190 (= tptp.apProp (forall @t200 (=> @t199 (forall @t8 (=> @t7 (_ (_ tptp.in (_ tptp.setunion @t197)) @t1))))))) % 0.48/0.86 (assume @p191 (= tptp.app (forall @t200 (=> @t199 @t203)))) % 0.48/0.86 (assume @p192 (= tptp.infuncsetfunc (forall @t200 (=> @t205 @t199)))) % 0.48/0.86 (assume @p193 (= tptp.ap2p (forall @t200 (=> @t205 @t203)))) % 0.48/0.86 (assume @p194 (= tptp.funcinfuncset (forall @t200 (=> @t199 @t205)))) % 0.48/0.86 (assume @p195 (= tptp.lamProp (forall @t209 (=> @t208 (_ @t198 (_ @t187 (lambda @t51 (= @t207 @t12)))))))) % 0.48/0.86 (assume @p196 (= tptp.lamp (forall @t209 (=> @t208 (_ @t198 @t211))))) % 0.48/0.86 (assume @p197 (= tptp.lam2p (forall @t209 (=> @t208 (_ (_ tptp.in @t211) @t204))))) % 0.48/0.86 (assume @p198 (= tptp.brelnall1 @t216)) % 0.48/0.86 (assume @p199 (= tptp.brelnall2 @t216)) % 0.48/0.86 (assume @p200 (= tptp.ex1E2 (forall @t95 (=> @t168 @t166)))) % 0.48/0.86 (assume @p201 (= tptp.funcGraphProp1 (forall @t200 (=> @t199 @t217)))) % 0.48/0.86 (assume @p202 (= tptp.funcGraphProp3 (forall @t200 (=> @t205 @t217)))) % 0.48/0.86 (assume @p203 (= tptp.funcGraphProp2 (forall @t200 (=> @t199 @t218)))) % 0.48/0.86 (assume @p204 (= tptp.funcextLem (forall @t200 (=> @t199 (forall @t222 (=> @t221 (=> @t220 (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> (_ @t154 @t219) @t196)))))))))))) % 0.48/0.86 (assume @p205 (= tptp.funcGraphProp4 (forall @t200 (=> @t205 @t218)))) % 0.48/0.86 (assume @p206 (= tptp.subbreln (forall @t215 (=> @t214 (forall @t227 (=> @t226 (=> @t225 (_ (_ tptp.subset @t212) @t223)))))))) % 0.48/0.86 (assume @p207 (= tptp.eqbreln (forall @t215 (=> @t214 (forall @t227 (=> @t226 (=> @t225 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t105 (=> @t224 @t213))))) (= @t212 @t223))))))))) % 0.48/0.86 (assume @p208 (= tptp.funcext (forall @t200 (=> @t199 (forall @t222 (=> @t221 @t228)))))) % 0.48/0.86 (assume @p209 (= tptp.funcext2 (forall @t200 (=> @t205 (forall @t222 (=> (_ (_ tptp.in @t219) @t204) @t228)))))) % 0.48/0.86 (assume @p210 (= tptp.ap2apEq1 (forall @t200 (=> @t205 @t229)))) % 0.48/0.86 (assume @p211 (= tptp.ap2apEq2 (forall @t200 (=> @t199 @t229)))) % 0.48/0.86 (assume @p212 (= tptp.beta1 @t230)) % 0.48/0.86 (assume @p213 (= tptp.eta1 (forall @t200 (=> @t199 @t231)))) % 0.48/0.86 (assume @p214 (= tptp.lam2lamEq (forall @t209 (=> @t208 (= @t211 @t211))))) % 0.48/0.86 (assume @p215 (= tptp.beta2 @t230)) % 0.48/0.86 (assume @p216 (= tptp.eta2 (forall @t200 (=> @t205 @t231)))) % 0.48/0.86 (assume @p217 (= tptp.iffalseProp1 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (_ @t13 @t233)))))))) % 0.48/0.86 (assume @p218 (= tptp.iffalseProp2 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (= @t233 @t82)))))))) % 0.48/0.86 (assume @p219 (= tptp.iftrueProp1 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (_ @t5 @t233)))))))) % 0.48/0.86 (assume @p220 (= tptp.iftrueProp2 (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (= @t233 @t84)))))))) % 0.48/0.86 (assume @p221 (= tptp.ifSingleton (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ tptp.singleton @t233))))))) % 0.48/0.86 (assume @p222 (= tptp.ifp (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ @t236 @t2))))))) % 0.48/0.86 (assume @p223 (= tptp.theeq (forall @t163 (=> @t175 (forall @t8 (=> @t161 (= @t174 @t4))))))) % 0.48/0.86 (assume @p224 (= tptp.iftrue (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t66 (= @t235 @t4)))))))) % 0.48/0.86 (assume @p225 (= tptp.iffalse (forall @t234 (=> @t7 (forall @t36 (=> @t14 (=> @t232 (= @t235 @t12)))))))) % 0.48/0.86 (assume @p226 (= tptp.iftrueorfalse (forall @t234 (=> @t7 (forall @t36 (=> @t14 (_ @t236 @t89))))))) % 0.48/0.86 (assume @p227 (= tptp.binintersectT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ @t239 @t23))))))) % 0.48/0.86 (assume @p228 (= tptp.binunionT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in @t246) @t23))))))) % 0.48/0.86 (assume @p229 (= tptp.powersetT_lem (forall @t244 (=> @t243 (_ (_ tptp.in (_ tptp.powerset @t160)) (_ tptp.powerset @t23)))))) % 0.48/0.86 (assume @p230 (= tptp.setminusT_lem (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.in (_ (_ tptp.setminus @t160) @t237)) @t23))))))) % 0.48/0.86 (assume @p231 (= tptp.complementT_lem (forall @t244 (=> @t243 (_ @t248 @t23))))) % 0.48/0.86 (assume @p232 (= tptp.setextT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 (=> (forall @t8 (=> @t7 (=> @t249 @t161))) (= @t160 @t237))))))))) % 0.48/0.86 (assume @p233 (= tptp.subsetTI (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 @t253))))))) % 0.48/0.86 (assume @p234 (= tptp.powersetTI1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t251 @t254))))))) % 0.48/0.86 (assume @p235 (= tptp.powersetTE1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t254 @t250))))))))) % 0.48/0.86 (assume @p236 (= tptp.complementTI1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t161 @t256))))))) % 0.48/0.86 (assume @p237 (= tptp.complementTE1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t256 @t161))))))) % 0.48/0.86 (assume @p238 (= tptp.binintersectTELcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t259 @t258))))))))) % 0.48/0.86 (assume @p239 (= tptp.binintersectTERcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t260 @t258))))))))) % 0.48/0.86 (assume @p240 (= tptp.contrasubsetT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t262 (=> @t249 @t259)))))))))) % 0.48/0.86 (assume @p241 (= tptp.contrasubsetT1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t253 (=> @t260 @t259)))))))))) % 0.48/0.86 (assume @p242 (= tptp.contrasubsetT2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t253 @t263))))))) % 0.48/0.86 (assume @p243 (= tptp.contrasubsetT3 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t263 @t253))))))) % 0.48/0.86 (assume @p244 (= tptp.doubleComplementI1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t161 @t265))))))) % 0.48/0.86 (assume @p245 (= tptp.doubleComplementE1 (forall @t244 (=> @t243 (forall @t8 (=> @t7 (=> @t265 @t161))))))) % 0.48/0.86 (assume @p246 (= tptp.doubleComplementSub1 (forall @t244 (=> @t243 (_ @t252 @t264))))) % 0.48/0.86 (assume @p247 (= tptp.doubleComplementSub2 (forall @t244 (=> @t243 (_ (_ tptp.subset @t264) @t160))))) % 0.48/0.86 (assume @p248 (= tptp.doubleComplementEq (forall @t244 (=> @t243 (= @t160 @t264))))) % 0.48/0.86 (assume @p249 (= tptp.complementTnotintersectT (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 @t258))))))))) % 0.48/0.86 (assume @p250 (= tptp.complementImpComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t255 (_ @t5 @t266)))))))))) % 0.48/0.86 (assume @p251 (= tptp.complementSubsetComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ (_ tptp.subset @t247) @t266))))))) % 0.48/0.86 (assume @p252 (= tptp.complementInPowersetComplementIntersect (forall @t244 (=> @t243 (forall @t242 (=> @t241 (_ @t248 (_ tptp.powerset @t266)))))))) % 0.48/0.86 (assume @p253 (= tptp.contraSubsetComplement (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t262 (forall @t8 (=> @t7 (=> @t249 @t255)))))))))) % 0.48/0.86 (assume @p254 (= tptp.complementTcontraSubset (forall @t244 (=> @t243 (forall @t242 (=> @t241 (=> @t262 (_ (_ tptp.subset @t237) @t247)))))))) % 0.48/0.86 (assume @p255 (= tptp.binunionTILcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t268 @t259))))))))) % 0.48/0.86 (assume @p256 (= tptp.binunionTIRcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t268 @t260))))))))) % 0.48/0.86 (assume @p257 (= tptp.inIntersectImpInUnion (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t272 (=> @t271 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t270)))))))))))) % 0.48/0.86 (assume @p258 (= tptp.inIntersectImpInUnion2 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t272 (=> @t271 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t273)))))))))))) % 0.48/0.86 (assume @p259 (= tptp.inIntersectImpInIntersectUnions (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t272 (=> @t271 (forall @t8 (=> @t7 (=> @t257 (_ @t5 @t274)))))))))))) % 0.48/0.86 (assume @p260 (= tptp.intersectInPowersetIntersectUnions (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t272 (=> @t271 (_ @t239 (_ tptp.powerset @t274)))))))))) % 0.48/0.86 (assume @p261 (= tptp.inComplementUnionImpNotIn1 (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t276 @t259))))))))) % 0.48/0.86 (assume @p262 @t283) % 0.48/0.86 (assume @p263 (= tptp.binunionTE (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t68 (=> @t7 (=> @t267 (=> (=> @t161 @t66) (=> (=> @t249 @t66) @t66))))))))))) % 0.48/0.86 (assume @p264 (= tptp.binunionTEcontra (forall @t244 (=> @t243 (forall @t242 (=> @t241 (forall @t8 (=> @t7 (=> @t259 (=> @t260 @t268)))))))))) % 0.48/0.86 (assume @p265 @t548) % 0.48/0.86 (assume @p266 true) % 0.48/0.86 (step @p267 (= tptp.exu @t549) :rule refl :args (@t549)) % 0.48/0.86 (step @p268 (= tptp.nonempty @t550) :rule refl :args (@t550)) % 0.48/0.86 (step @p269 (= tptp.ex1 @t551) :rule refl :args (@t551)) % 0.48/0.86 (step @p270 (= tptp.breln @t552) :rule refl :args (@t552)) % 0.48/0.86 (step @p271 :rule aci_norm :args ((= @t564 (or @t562 @t560 @t558 @t557 @t555)))) % 0.48/0.86 (step @p272 :rule cong :premises (@p271) :args (@t565)) % 0.48/0.86 (step @p273 :rule quant-merge-prenex :args ((= (forall @t244 @t567) @t565))) % 0.48/0.86 (step @p274 :rule alpha_equiv :args (@t568 (@list @t556 @t554) (@list @t237 @t569))) % 0.48/0.86 (step @p275 :rule refl :args (@t562)) % 0.48/0.86 (step @p276 :rule nary_cong :premises (@p275 @p274) :args (@t570)) % 0.48/0.86 (step @p277 :rule quant-miniscope-or :args ((= @t567 @t570))) % 0.48/0.86 (step @p278 :rule trans :premises (@p277 @p276)) % 0.48/0.86 (step @p279 :rule symm :premises (@p278)) % 0.48/0.86 (step @p280 :rule cong :premises (@p279) :args ((forall @t244 (or @t562 @t580)))) % 0.48/0.86 (step @p281 :rule trans :premises (@p280 @p273)) % 0.48/0.86 (step @p282 :rule trans :premises (@p281 @p272)) % 0.48/0.86 (step @p283 :rule refl :args (@t580)) % 0.48/0.86 (step @p284 :rule refl :args ((tptp.in @t160 @t23))) % 0.48/0.86 (step @p285 :rule refl :args (@t559)) % 0.48/0.86 (step @p286 :rule refl :args (@t160)) % 0.48/0.86 (step @p287 :rule cong :premises (@p286 @p285) :args (@t561)) % 0.48/0.86 (step @p288 :rule trans :premises (@p287 @p284)) % 0.48/0.86 (step @p289 :rule refl :args (@t162)) % 0.48/0.86 (step @p290 :rule ho_cong :premises (@p289 @p285)) % 0.48/0.86 (step @p291 :rule cong :premises (@p290 @p288) :args ((= (_ @t162 @t559) @t561))) % 0.48/0.86 (step @p292 :rule symm :premises (@p291)) % 0.48/0.86 (step @p293 :rule refl :args (@t243)) % 0.48/0.86 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.48/0.86 (step @p295 :rule refl :args (@t23)) % 0.48/0.86 (step @p296 :rule cong :premises (@p295 @p285) :args ((= @t23 @t559))) % 0.48/0.86 (step @p297 :rule symm :premises (@p296)) % 0.48/0.86 (step @p298 :rule eq_resolve :premises (@p295 @p297)) % 0.48/0.86 (step @p299 :rule ho_cong :premises (@p289 @p298)) % 0.48/0.86 (step @p300 :rule trans :premises (@p299 @p294)) % 0.48/0.86 (step @p301 :rule cong :premises (@p300) :args (@t581)) % 0.48/0.86 (step @p302 :rule nary_cong :premises (@p301 @p283) :args (@t582)) % 0.48/0.86 (step @p303 :rule cong :premises (@p302) :args ((forall @t244 @t582))) % 0.48/0.86 (step @p304 :rule trans :premises (@p303 @p282)) % 0.48/0.86 (step @p305 :rule bool-impl-elim :args (@t243 @t580)) % 0.48/0.86 (step @p306 :rule cong :premises (@p305) :args ((forall @t244 (=> @t243 @t580)))) % 0.48/0.86 (step @p307 :rule trans :premises (@p306 @p304)) % 0.48/0.86 (step @p308 :rule aci_norm :args ((= @t584 @t578))) % 0.48/0.86 (step @p309 :rule cong :premises (@p308) :args (@t585)) % 0.48/0.86 (step @p310 :rule quant-merge-prenex :args ((= (forall @t242 @t587) @t585))) % 0.48/0.86 (step @p311 :rule alpha_equiv :args (@t588 (@list @t569) (@list @t4))) % 0.48/0.86 (step @p312 :rule refl :args (@t577)) % 0.48/0.86 (step @p313 :rule nary_cong :premises (@p312 @p311) :args (@t589)) % 0.48/0.86 (step @p314 :rule quant-miniscope-or :args ((= @t587 @t589))) % 0.48/0.86 (step @p315 :rule trans :premises (@p314 @p313)) % 0.48/0.86 (step @p316 :rule symm :premises (@p315)) % 0.48/0.86 (step @p317 :rule cong :premises (@p316) :args ((forall @t242 (or @t577 @t593)))) % 0.48/0.86 (step @p318 :rule trans :premises (@p317 @p310)) % 0.48/0.86 (step @p319 :rule trans :premises (@p318 @p309)) % 0.48/0.86 (step @p320 :rule refl :args (@t593)) % 0.48/0.86 (step @p321 :rule refl :args ((tptp.in @t237 @t23))) % 0.48/0.86 (step @p322 :rule refl :args (@t237)) % 0.48/0.86 (step @p323 :rule cong :premises (@p322 @p285) :args (@t576)) % 0.48/0.86 (step @p324 :rule trans :premises (@p323 @p321)) % 0.48/0.86 (step @p325 :rule refl :args (@t240)) % 0.48/0.86 (step @p326 :rule ho_cong :premises (@p325 @p285)) % 0.48/0.86 (step @p327 :rule cong :premises (@p326 @p324) :args ((= (_ @t240 @t559) @t576))) % 0.48/0.86 (step @p328 :rule symm :premises (@p327)) % 0.48/0.86 (step @p329 :rule refl :args (@t241)) % 0.48/0.86 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 0.48/0.86 (step @p331 :rule ho_cong :premises (@p325 @p298)) % 0.48/0.86 (step @p332 :rule trans :premises (@p331 @p330)) % 0.48/0.86 (step @p333 :rule cong :premises (@p332) :args (@t594)) % 0.48/0.86 (step @p334 :rule nary_cong :premises (@p333 @p320) :args (@t595)) % 0.48/0.86 (step @p335 :rule cong :premises (@p334) :args ((forall @t242 @t595))) % 0.48/0.86 (step @p336 :rule trans :premises (@p335 @p319)) % 0.48/0.86 (step @p337 :rule bool-impl-elim :args (@t241 @t593)) % 0.48/0.86 (step @p338 :rule cong :premises (@p337) :args ((forall @t242 (=> @t241 @t593)))) % 0.48/0.86 (step @p339 :rule trans :premises (@p338 @p336)) % 0.48/0.86 (step @p340 :rule refl :args ((tptp.in @t4 @t247))) % 0.48/0.86 (step @p341 :rule refl :args (@t553)) % 0.48/0.86 (step @p342 :rule refl :args (@t4)) % 0.48/0.86 (step @p343 :rule cong :premises (@p342 @p341) :args (@t590)) % 0.48/0.86 (step @p344 :rule trans :premises (@p343 @p340)) % 0.48/0.86 (step @p345 :rule refl :args (@t5)) % 0.48/0.86 (step @p346 :rule ho_cong :premises (@p345 @p341)) % 0.48/0.86 (step @p347 :rule cong :premises (@p346 @p344) :args ((= (_ @t5 @t553) @t590))) % 0.48/0.86 (step @p348 :rule symm :premises (@p347)) % 0.48/0.86 (step @p349 :rule refl :args (@t255)) % 0.48/0.86 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 0.48/0.86 (step @p351 :rule refl :args (@t247)) % 0.48/0.86 (step @p352 :rule cong :premises (@p351 @p341) :args ((= @t247 @t553))) % 0.48/0.86 (step @p353 :rule symm :premises (@p352)) % 0.48/0.86 (step @p354 :rule eq_resolve :premises (@p351 @p353)) % 0.48/0.86 (step @p355 :rule ho_cong :premises (@p345 @p354)) % 0.48/0.86 (step @p356 :rule trans :premises (@p355 @p350)) % 0.48/0.86 (step @p357 :rule refl :args ((tptp.in @t4 @t275))) % 0.48/0.86 (step @p358 :rule refl :args ((tptp.setminus @t2 @t246))) % 0.48/0.86 (step @p359 :rule refl :args (@t572)) % 0.48/0.86 (step @p360 :rule refl :args (@t2)) % 0.48/0.86 (step @p361 :rule cong :premises (@p360 @p359) :args (@t573)) % 0.48/0.86 (step @p362 :rule trans :premises (@p361 @p358)) % 0.48/0.86 (step @p363 :rule cong :premises (@p342 @p362) :args (@t591)) % 0.48/0.86 (step @p364 :rule trans :premises (@p363 @p357)) % 0.48/0.86 (step @p365 :rule ho_cong :premises (@p345 @p362)) % 0.48/0.86 (step @p366 :rule cong :premises (@p365 @p364) :args ((= (_ @t5 @t573) @t591))) % 0.48/0.86 (step @p367 :rule symm :premises (@p366)) % 0.48/0.86 (step @p368 :rule refl :args (@t276)) % 0.48/0.86 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.48/0.86 (step @p370 :rule refl :args (@t139)) % 0.48/0.86 (step @p371 :rule ho_cong :premises (@p370 @p359)) % 0.48/0.86 (step @p372 :rule cong :premises (@p371 @p362) :args ((= (_ @t139 @t572) @t573))) % 0.48/0.86 (step @p373 :rule symm :premises (@p372)) % 0.48/0.86 (step @p374 :rule refl :args (@t275)) % 0.48/0.86 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 0.48/0.86 (step @p376 :rule refl :args (@t246)) % 0.48/0.86 (step @p377 :rule cong :premises (@p376 @p359) :args ((= @t246 @t572))) % 0.48/0.86 (step @p378 :rule symm :premises (@p377)) % 0.48/0.86 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 0.48/0.86 (step @p380 :rule ho_cong :premises (@p370 @p379)) % 0.48/0.86 (step @p381 :rule trans :premises (@p380 @p375)) % 0.48/0.86 (step @p382 :rule ho_cong :premises (@p345 @p381)) % 0.48/0.86 (step @p383 :rule trans :premises (@p382 @p369)) % 0.48/0.86 (step @p384 :rule cong :premises (@p383) :args (@t596)) % 0.48/0.86 (step @p385 :rule refl :args (@t592)) % 0.48/0.86 (step @p386 :rule refl :args (@t7)) % 0.48/0.86 (step @p387 :rule cong :premises (@p386 @p385) :args ((= @t7 @t592))) % 0.48/0.86 (step @p388 :rule symm :premises (@p387)) % 0.48/0.86 (step @p389 :rule eq_resolve :premises (@p386 @p388)) % 0.48/0.86 (step @p390 :rule cong :premises (@p389) :args (@t74)) % 0.48/0.86 (step @p391 :rule nary_cong :premises (@p390 @p384 @p356) :args (@t597)) % 0.48/0.86 (step @p392 :rule cong :premises (@p391) :args ((forall @t8 @t597))) % 0.48/0.86 (step @p393 :rule aci_norm :args ((= (or @t74 (or @t596 @t255)) @t597))) % 0.48/0.86 (step @p394 :rule bool-impl-elim :args (@t276 @t255)) % 0.48/0.86 (step @p395 :rule refl :args (@t74)) % 0.48/0.86 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t74 @t277))) % 0.48/0.86 (step @p397 :rule trans :premises (@p396 @p393)) % 0.48/0.86 (step @p398 :rule bool-impl-elim :args (@t7 @t277)) % 0.48/0.86 (step @p399 :rule trans :premises (@p398 @p397)) % 0.48/0.86 (step @p400 :rule cong :premises (@p399) :args (@t278)) % 0.48/0.86 (step @p401 :rule trans :premises (@p400 @p392)) % 0.48/0.86 (step @p402 :rule refl :args (@t241)) % 0.48/0.86 (step @p403 :rule cong :premises (@p402 @p401) :args (@t279)) % 0.48/0.86 (step @p404 :rule cong :premises (@p403) :args (@t280)) % 0.48/0.86 (step @p405 :rule trans :premises (@p404 @p339)) % 0.48/0.86 (step @p406 :rule refl :args (@t243)) % 0.48/0.86 (step @p407 :rule cong :premises (@p406 @p405) :args (@t281)) % 0.48/0.86 (step @p408 :rule cong :premises (@p407) :args (@t282)) % 0.48/0.86 (step @p409 :rule trans :premises (@p408 @p307)) % 0.48/0.86 (step @p410 :rule refl :args (tptp.binunionTEcontra)) % 0.48/0.86 (step @p411 :rule cong :premises (@p410 @p409) :args (@t284)) % 0.48/0.86 (step @p412 :rule refl :args (tptp.binunionTE)) % 0.48/0.86 (step @p413 :rule cong :premises (@p412 @p411) :args (@t285)) % 0.48/0.86 (step @p414 :rule refl :args (tptp.inComplementUnionImpInComplement1)) % 0.48/0.86 (step @p415 :rule cong :premises (@p414 @p413) :args (@t286)) % 0.48/0.86 (step @p416 :rule refl :args (tptp.inComplementUnionImpNotIn1)) % 0.48/0.86 (step @p417 :rule cong :premises (@p416 @p415) :args (@t287)) % 0.48/0.86 (step @p418 :rule refl :args (tptp.intersectInPowersetIntersectUnions)) % 0.48/0.86 (step @p419 :rule cong :premises (@p418 @p417) :args (@t288)) % 0.48/0.86 (step @p420 :rule refl :args (tptp.inIntersectImpInIntersectUnions)) % 0.48/0.86 (step @p421 :rule cong :premises (@p420 @p419) :args (@t289)) % 0.48/0.86 (step @p422 :rule refl :args (tptp.inIntersectImpInUnion2)) % 0.48/0.86 (step @p423 :rule cong :premises (@p422 @p421) :args (@t290)) % 0.48/0.86 (step @p424 :rule refl :args (tptp.inIntersectImpInUnion)) % 0.48/0.86 (step @p425 :rule cong :premises (@p424 @p423) :args (@t291)) % 0.48/0.86 (step @p426 :rule refl :args (tptp.binunionTIRcontra)) % 0.48/0.86 (step @p427 :rule cong :premises (@p426 @p425) :args (@t292)) % 0.48/0.86 (step @p428 :rule refl :args (tptp.binunionTILcontra)) % 0.48/0.86 (step @p429 :rule cong :premises (@p428 @p427) :args (@t293)) % 0.48/0.86 (step @p430 :rule refl :args (tptp.complementTcontraSubset)) % 0.48/0.86 (step @p431 :rule cong :premises (@p430 @p429) :args (@t294)) % 0.48/0.86 (step @p432 :rule refl :args (tptp.contraSubsetComplement)) % 0.48/0.86 (step @p433 :rule cong :premises (@p432 @p431) :args (@t295)) % 0.48/0.86 (step @p434 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 0.48/0.86 (step @p435 :rule cong :premises (@p434 @p433) :args (@t296)) % 0.48/0.86 (step @p436 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 0.48/0.86 (step @p437 :rule cong :premises (@p436 @p435) :args (@t297)) % 0.48/0.86 (step @p438 :rule refl :args (tptp.complementImpComplementIntersect)) % 0.48/0.86 (step @p439 :rule cong :premises (@p438 @p437) :args (@t298)) % 0.48/0.86 (step @p440 :rule refl :args (tptp.complementTnotintersectT)) % 0.48/0.86 (step @p441 :rule cong :premises (@p440 @p439) :args (@t299)) % 0.48/0.86 (step @p442 :rule refl :args (tptp.doubleComplementEq)) % 0.48/0.86 (step @p443 :rule cong :premises (@p442 @p441) :args (@t300)) % 0.48/0.86 (step @p444 :rule refl :args (tptp.doubleComplementSub2)) % 0.48/0.86 (step @p445 :rule cong :premises (@p444 @p443) :args (@t301)) % 0.48/0.86 (step @p446 :rule refl :args (tptp.doubleComplementSub1)) % 0.48/0.86 (step @p447 :rule cong :premises (@p446 @p445) :args (@t302)) % 0.48/0.86 (step @p448 :rule refl :args (tptp.doubleComplementE1)) % 0.48/0.86 (step @p449 :rule cong :premises (@p448 @p447) :args (@t303)) % 0.48/0.86 (step @p450 :rule refl :args (tptp.doubleComplementI1)) % 0.48/0.86 (step @p451 :rule cong :premises (@p450 @p449) :args (@t304)) % 0.48/0.86 (step @p452 :rule refl :args (tptp.contrasubsetT3)) % 0.48/0.86 (step @p453 :rule cong :premises (@p452 @p451) :args (@t305)) % 0.48/0.86 (step @p454 :rule refl :args (tptp.contrasubsetT2)) % 0.48/0.86 (step @p455 :rule cong :premises (@p454 @p453) :args (@t306)) % 0.48/0.86 (step @p456 :rule refl :args (tptp.contrasubsetT1)) % 0.48/0.86 (step @p457 :rule cong :premises (@p456 @p455) :args (@t307)) % 0.48/0.86 (step @p458 :rule refl :args (tptp.contrasubsetT)) % 0.48/0.86 (step @p459 :rule cong :premises (@p458 @p457) :args (@t308)) % 0.48/0.86 (step @p460 :rule refl :args (tptp.binintersectTERcontra)) % 0.48/0.86 (step @p461 :rule cong :premises (@p460 @p459) :args (@t309)) % 0.48/0.86 (step @p462 :rule refl :args (tptp.binintersectTELcontra)) % 0.48/0.86 (step @p463 :rule cong :premises (@p462 @p461) :args (@t310)) % 0.48/0.86 (step @p464 :rule refl :args (tptp.complementTE1)) % 0.48/0.86 (step @p465 :rule cong :premises (@p464 @p463) :args (@t311)) % 0.48/0.86 (step @p466 :rule refl :args (tptp.complementTI1)) % 0.48/0.86 (step @p467 :rule cong :premises (@p466 @p465) :args (@t312)) % 0.48/0.86 (step @p468 :rule refl :args (tptp.powersetTE1)) % 0.48/0.86 (step @p469 :rule cong :premises (@p468 @p467) :args (@t313)) % 0.48/0.86 (step @p470 :rule refl :args (tptp.powersetTI1)) % 0.48/0.86 (step @p471 :rule cong :premises (@p470 @p469) :args (@t314)) % 0.48/0.86 (step @p472 :rule refl :args (tptp.subsetTI)) % 0.48/0.86 (step @p473 :rule cong :premises (@p472 @p471) :args (@t315)) % 0.48/0.86 (step @p474 :rule refl :args (tptp.setextT)) % 0.48/0.86 (step @p475 :rule cong :premises (@p474 @p473) :args (@t316)) % 0.48/0.86 (step @p476 :rule refl :args (tptp.complementT_lem)) % 0.48/0.86 (step @p477 :rule cong :premises (@p476 @p475) :args (@t317)) % 0.48/0.86 (step @p478 :rule refl :args (tptp.setminusT_lem)) % 0.48/0.86 (step @p479 :rule cong :premises (@p478 @p477) :args (@t318)) % 0.48/0.86 (step @p480 :rule refl :args (tptp.powersetT_lem)) % 0.48/0.86 (step @p481 :rule cong :premises (@p480 @p479) :args (@t319)) % 0.48/0.86 (step @p482 :rule refl :args (tptp.binunionT_lem)) % 0.48/0.86 (step @p483 :rule cong :premises (@p482 @p481) :args (@t320)) % 0.48/0.86 (step @p484 :rule refl :args (tptp.binintersectT_lem)) % 0.48/0.86 (step @p485 :rule cong :premises (@p484 @p483) :args (@t321)) % 0.48/0.86 (step @p486 :rule refl :args (tptp.iftrueorfalse)) % 0.48/0.86 (step @p487 :rule cong :premises (@p486 @p485) :args (@t322)) % 0.48/0.86 (step @p488 :rule refl :args (tptp.iffalse)) % 0.48/0.86 (step @p489 :rule cong :premises (@p488 @p487) :args (@t323)) % 0.48/0.86 (step @p490 :rule refl :args (tptp.iftrue)) % 0.48/0.86 (step @p491 :rule cong :premises (@p490 @p489) :args (@t324)) % 0.48/0.86 (step @p492 :rule refl :args (tptp.theeq)) % 0.48/0.86 (step @p493 :rule cong :premises (@p492 @p491) :args (@t325)) % 0.48/0.86 (step @p494 :rule refl :args (tptp.ifp)) % 0.48/0.86 (step @p495 :rule cong :premises (@p494 @p493) :args (@t326)) % 0.48/0.86 (step @p496 :rule refl :args (tptp.ifSingleton)) % 0.48/0.86 (step @p497 :rule cong :premises (@p496 @p495) :args (@t327)) % 0.48/0.86 (step @p498 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:rule not_implies_elim2 :premises (@p1143)) % 0.48/0.86 (step @p1145 :rule not_implies_elim2 :premises (@p1144)) % 0.48/0.86 (step @p1146 :rule not_implies_elim2 :premises (@p1145)) % 0.48/0.86 (step @p1147 :rule not_implies_elim2 :premises (@p1146)) % 0.48/0.86 (step @p1148 :rule not_implies_elim2 :premises (@p1147)) % 0.48/0.86 (step @p1149 :rule not_implies_elim2 :premises (@p1148)) % 0.48/0.86 (step @p1150 :rule not_implies_elim2 :premises (@p1149)) % 0.48/0.86 (step @p1151 :rule not_implies_elim2 :premises (@p1150)) % 0.48/0.86 (step @p1152 :rule not_implies_elim2 :premises (@p1151)) % 0.48/0.86 (step @p1153 :rule not_implies_elim2 :premises (@p1152)) % 0.48/0.86 (step @p1154 :rule not_implies_elim2 :premises (@p1153)) % 0.48/0.86 (step @p1155 :rule not_implies_elim2 :premises (@p1154)) % 0.48/0.86 (step @p1156 :rule not_implies_elim2 :premises (@p1155)) % 0.48/0.86 (step @p1157 :rule not_implies_elim2 :premises (@p1156)) % 0.48/0.86 (step @p1158 :rule not_implies_elim2 :premises (@p1157)) % 0.48/0.86 (step @p1159 :rule not_implies_elim2 :premises (@p1158)) % 0.48/0.86 (step @p1160 :rule not_implies_elim2 :premises (@p1159)) % 0.48/0.86 (step @p1161 :rule not_implies_elim2 :premises (@p1160)) % 0.48/0.86 (step @p1162 :rule not_implies_elim2 :premises (@p1161)) % 0.48/0.86 (step @p1163 :rule not_implies_elim2 :premises (@p1162)) % 0.48/0.86 (step @p1164 :rule not_implies_elim2 :premises (@p1163)) % 0.48/0.86 (step @p1165 :rule not_implies_elim2 :premises (@p1164)) % 0.48/0.86 (step @p1166 :rule not_implies_elim2 :premises (@p1165)) % 0.48/0.86 (step @p1167 :rule not_implies_elim2 :premises (@p1166)) % 0.48/0.86 (step @p1168 :rule not_implies_elim2 :premises (@p1167)) % 0.48/0.86 (step @p1169 :rule not_implies_elim2 :premises (@p1168)) % 0.48/0.86 (step @p1170 :rule not_implies_elim2 :premises (@p1169)) % 0.48/0.86 (step @p1171 :rule not_implies_elim2 :premises (@p1170)) % 0.48/0.86 (step @p1172 :rule not_implies_elim2 :premises (@p1171)) % 0.48/0.86 (step @p1173 :rule not_implies_elim2 :premises (@p1172)) % 0.48/0.86 (step @p1174 :rule not_implies_elim2 :premises (@p1173)) % 0.48/0.86 (step @p1175 :rule not_implies_elim2 :premises (@p1174)) % 0.48/0.86 (step @p1176 :rule not_implies_elim2 :premises (@p1175)) % 0.48/0.86 (step @p1177 :rule not_implies_elim2 :premises (@p1176)) % 0.48/0.86 (step @p1178 :rule not_implies_elim2 :premises (@p1177)) % 0.48/0.86 (step @p1179 :rule not_implies_elim2 :premises (@p1178)) % 0.48/0.86 (step @p1180 :rule not_implies_elim2 :premises (@p1179)) % 0.48/0.86 (step @p1181 :rule not_implies_elim2 :premises (@p1180)) % 0.48/0.86 (step @p1182 :rule not_implies_elim2 :premises (@p1181)) % 0.48/0.86 (step @p1183 :rule not_implies_elim2 :premises (@p1182)) % 0.48/0.86 (step @p1184 :rule not_implies_elim2 :premises (@p1183)) % 0.48/0.86 (step @p1185 :rule not_implies_elim2 :premises (@p1184)) % 0.48/0.86 (step @p1186 :rule not_implies_elim2 :premises (@p1185)) % 0.48/0.86 (step @p1187 :rule not_implies_elim2 :premises (@p1186)) % 0.48/0.86 (step @p1188 :rule not_implies_elim2 :premises (@p1187)) % 0.48/0.86 (step @p1189 :rule not_implies_elim2 :premises (@p1188)) % 0.48/0.86 (step @p1190 :rule not_implies_elim2 :premises (@p1189)) % 0.48/0.86 (step @p1191 :rule not_implies_elim2 :premises (@p1190)) % 0.48/0.86 (step @p1192 :rule not_implies_elim2 :premises (@p1191)) % 0.48/0.86 (step @p1193 :rule not_implies_elim2 :premises (@p1192)) % 0.48/0.86 (step @p1194 :rule not_implies_elim2 :premises (@p1193)) % 0.48/0.86 (step @p1195 :rule not_implies_elim2 :premises (@p1194)) % 0.48/0.86 (step @p1196 :rule not_implies_elim2 :premises (@p1195)) % 0.48/0.86 (step @p1197 :rule not_implies_elim2 :premises (@p1196)) % 0.48/0.86 (step @p1198 :rule not_implies_elim2 :premises (@p1197)) % 0.48/0.86 (step @p1199 :rule not_implies_elim2 :premises (@p1198)) % 0.48/0.86 (step @p1200 :rule not_implies_elim2 :premises (@p1199)) % 0.48/0.86 (step @p1201 :rule not_implies_elim2 :premises (@p1200)) % 0.48/0.86 (step @p1202 :rule not_implies_elim2 :premises (@p1201)) % 0.48/0.86 (step @p1203 :rule not_implies_elim2 :premises (@p1202)) % 0.48/0.86 (step @p1204 :rule cong :premises (@p414 @p409) :args (@t283)) % 0.48/0.86 (step @p1205 :rule eq_resolve :premises (@p262 @p1204)) % 0.48/0.86 (step @p1206 :rule not_implies_elim1 :premises (@p1200)) % 0.48/0.86 (step @p1207 :rule eq_resolve :premises (@p1206 @p1205)) % 0.48/0.86 (step @p1208 false :rule contra :premises (@p1207 @p1203)) % 0.48/0.86 ) % 0.48/0.86 % SZS output end Proof % 0.48/0.86 % cvc5 exiting %------------------------------------------------------------------------------