%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU694^1 : 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 : n012.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 08:52:46 AM UTC 2026 % Result : Theorem 0.23s 0.49s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU694^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:47:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.37 %----Proving TH0 % 0.23/0.49 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.23/0.49 % SZS status Theorem % 0.23/0.49 % SZS output start Proof % 0.23/0.49 ( % 0.23/0.49 (declare-sort $$unsorted 0) % 0.23/0.49 (declare-const tptp.emptyset $$unsorted) % 0.23/0.49 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.23/0.49 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.23/0.49 (declare-const tptp.funcext2 Bool) % 0.23/0.49 (declare-const tptp.eqbreln Bool) % 0.23/0.49 (declare-const tptp.funcGraphProp4 Bool) % 0.23/0.49 (declare-const tptp.ex1E2 Bool) % 0.23/0.49 (declare-const tptp.brelnall2 Bool) % 0.23/0.49 (declare-const tptp.lam2p Bool) % 0.23/0.49 (declare-const tptp.lamProp Bool) % 0.23/0.49 (declare-const tptp.funcinfuncset Bool) % 0.23/0.49 (declare-const tptp.infuncsetfunc Bool) % 0.23/0.49 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.funcImageSingleton Bool) % 0.23/0.49 (declare-const tptp.dpsetconstrER Bool) % 0.23/0.49 (declare-const tptp.dpsetconstrEL1 Bool) % 0.23/0.49 (declare-const tptp.dpsetconstrERa Bool) % 0.23/0.49 (declare-const tptp.setOfPairsIsBReln Bool) % 0.23/0.49 (declare-const tptp.dpsetconstrSub Bool) % 0.23/0.49 (declare-const tptp.dpsetconstrI Bool) % 0.23/0.49 (declare-const tptp.cartprodpairsurjEq Bool) % 0.23/0.49 (declare-const tptp.cartprodsndpairEq Bool) % 0.23/0.49 (declare-const tptp.cartprodfstpairEq Bool) % 0.23/0.49 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.setukpairinjR Bool) % 0.23/0.49 (declare-const tptp.funcGraphProp1 Bool) % 0.23/0.49 (declare-const tptp.setukpairinjR2 Bool) % 0.23/0.49 (declare-const tptp.upairequniteq Bool) % 0.23/0.49 (declare-const tptp.setukpairinjR11 Bool) % 0.23/0.49 (declare-const tptp.setukpairinjL Bool) % 0.23/0.49 (declare-const tptp.kfstpairEq Bool) % 0.23/0.49 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.kfstsingleton Bool) % 0.23/0.49 (declare-const tptp.setukpairinjL1 Bool) % 0.23/0.49 (declare-const tptp.setunionsingleton Bool) % 0.23/0.49 (declare-const tptp.kpairsurjEq Bool) % 0.23/0.49 (declare-const tptp.setunionE2 Bool) % 0.23/0.49 (declare-const tptp.ksndpairEq Bool) % 0.23/0.49 (declare-const tptp.cartprodmempair Bool) % 0.23/0.49 (declare-const tptp.ubforcartprodlem3 Bool) % 0.23/0.49 (declare-const tptp.ubforcartprodlem2 Bool) % 0.23/0.49 (declare-const tptp.upairsubunion Bool) % 0.23/0.49 (declare-const tptp.singletoninpowunion Bool) % 0.23/0.49 (declare-const tptp.singletoninpowerset Bool) % 0.23/0.49 (declare-const tptp.setukpairIR Bool) % 0.23/0.49 (declare-const tptp.secondinupair Bool) % 0.23/0.49 (declare-const tptp.symdiffIneg2 Bool) % 0.23/0.49 (declare-const tptp.ex1I Bool) % 0.23/0.49 (declare-const tptp.symdiffI2 Bool) % 0.23/0.49 (declare-const tptp.symdiffI1 Bool) % 0.23/0.49 (declare-const tptp.setminusIRneg Bool) % 0.23/0.49 (declare-const tptp.setminusILneg Bool) % 0.23/0.49 (declare-const tptp.setminusERneg Bool) % 0.23/0.49 (declare-const tptp.setminusI Bool) % 0.23/0.49 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.lamp Bool) % 0.23/0.49 (declare-const tptp.setukpairinjL2 Bool) % 0.23/0.49 (declare-const tptp.emptyE1 Bool) % 0.23/0.49 (declare-const tptp.upairset2E Bool) % 0.23/0.49 (declare-const tptp.inPowerset Bool) % 0.23/0.49 (declare-const tptp.upairsetIR Bool) % 0.23/0.49 (declare-const tptp.setunion__Cong Bool) % 0.23/0.49 (declare-const tptp.cartprodfstin Bool) % 0.23/0.49 (declare-const tptp.powersetE1 Bool) % 0.23/0.49 (declare-const tptp.singletonsswitch Bool) % 0.23/0.49 (declare-const tptp.subset2powerset Bool) % 0.23/0.49 (declare-const tptp.notinsingleton Bool) % 0.23/0.49 (declare-const tptp.subPowSU Bool) % 0.23/0.49 (declare-const tptp.binintersectSubset5 Bool) % 0.23/0.49 (declare-const tptp.exuE1 Bool) % 0.23/0.49 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.setunionI Bool) % 0.23/0.49 (declare-const tptp.ksndsingleton Bool) % 0.23/0.49 (declare-const tptp.notdexE Bool) % 0.23/0.49 (declare-const tptp.powersetE Bool) % 0.23/0.49 (declare-const tptp.omegaSAx Bool) % 0.23/0.49 (declare-const tptp.setadjoinE Bool) % 0.23/0.49 (declare-const tptp.emptyinunitempty Bool) % 0.23/0.49 (declare-const tptp.setminusEL Bool) % 0.23/0.49 (declare-const tptp.descr__Cong Bool) % 0.23/0.49 (declare-const tptp.nonemptyI1 Bool) % 0.23/0.49 (declare-const tptp.emptysetAx Bool) % 0.23/0.49 (declare-const tptp.funcext Bool) % 0.23/0.49 (declare-const tptp.singletonprop Bool) % 0.23/0.49 (declare-const tptp.nonemptyI Bool) % 0.23/0.49 (declare-const tptp.upairsetIL Bool) % 0.23/0.49 (declare-const tptp.powersetI1 Bool) % 0.23/0.49 (declare-const tptp.kpairp Bool) % 0.23/0.49 (declare-const tptp.eqinunit Bool) % 0.23/0.49 (declare-const tptp.noeltsimpempty Bool) % 0.23/0.49 (declare-const tptp.upairsetE Bool) % 0.23/0.49 (declare-const tptp.replAx Bool) % 0.23/0.49 (declare-const tptp.powersetI Bool) % 0.23/0.49 (declare-const tptp.quantDeMorgan4 Bool) % 0.23/0.49 (declare-const tptp.apProp Bool) % 0.23/0.49 (declare-const tptp.ex1E1 Bool) % 0.23/0.49 (declare-const tptp.setunionE Bool) % 0.23/0.49 (declare-const tptp.omegaIndAx Bool) % 0.23/0.49 (declare-const tptp.dpsetconstrEL2 Bool) % 0.23/0.49 (declare-const tptp.setunionAx Bool) % 0.23/0.49 (declare-const tptp.setoftrueEq Bool) % 0.23/0.49 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.setukpairinjR12 Bool) % 0.23/0.49 (declare-const tptp.upairset2IR Bool) % 0.23/0.49 (declare-const tptp.setminusELneg Bool) % 0.23/0.49 (declare-const tptp.powersetAx Bool) % 0.23/0.49 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.emptyI Bool) % 0.23/0.49 (declare-const tptp.subsetemptysetimpeq Bool) % 0.23/0.49 (declare-const tptp.ap2apEq1 Bool) % 0.23/0.49 (declare-const tptp.setminusER Bool) % 0.23/0.49 (declare-const tptp.setadjoinAx Bool) % 0.23/0.49 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.omega $$unsorted) % 0.23/0.49 (declare-const tptp.emptyInPowerset Bool) % 0.23/0.49 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.eqimpsubset1 Bool) % 0.23/0.49 (declare-const tptp.cartprodpairin Bool) % 0.23/0.49 (declare-const tptp.binunionE Bool) % 0.23/0.49 (declare-const tptp.funcGraphProp2 Bool) % 0.23/0.49 (declare-const tptp.dsetconstrER Bool) % 0.23/0.49 (declare-const tptp.notdallE Bool) % 0.23/0.49 (declare-const tptp.cartprodmempair1 Bool) % 0.23/0.49 (declare-const tptp.binunionRsub Bool) % 0.23/0.49 (declare-const tptp.cartprodpairmemEL Bool) % 0.23/0.49 (declare-const tptp.emptysetimpfalse Bool) % 0.23/0.49 (declare-const tptp.ap2p Bool) % 0.23/0.49 (declare-const tptp.foundationAx Bool) % 0.23/0.49 (declare-const tptp.exuE2 Bool) % 0.23/0.49 (declare-const tptp.notinemptyset Bool) % 0.23/0.49 (declare-const tptp.singletonsuniq Bool) % 0.23/0.49 (declare-const tptp.subsetRefl Bool) % 0.23/0.49 (declare-const tptp.uniqinunit Bool) % 0.23/0.49 (declare-const tptp.cartprodpairmemER Bool) % 0.23/0.49 (declare-const tptp.exuE3u Bool) % 0.23/0.49 (declare-const tptp.setukpairIL Bool) % 0.23/0.49 (declare-const tptp.subsetTrans Bool) % 0.23/0.49 (declare-const tptp.setadjoinOr Bool) % 0.23/0.49 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.wellorderingAx Bool) % 0.23/0.49 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.23/0.49 (declare-const tptp.vacuousDall Bool) % 0.23/0.49 (declare-const tptp.upairinpowunion Bool) % 0.23/0.49 (declare-const tptp.sepInPowerset Bool) % 0.23/0.49 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.nonemptyImpWitness Bool) % 0.23/0.49 (declare-const tptp.binintersectLsub Bool) % 0.23/0.49 (declare-const tptp.dsetconstrI Bool) % 0.23/0.49 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.setminusSubset1 Bool) % 0.23/0.49 (declare-const tptp.emptyinPowerset Bool) % 0.23/0.49 (declare-const tptp.prop2setI Bool) % 0.23/0.49 (declare-const tptp.funcGraphProp3 Bool) % 0.23/0.49 (declare-const tptp.dsetconstrEL Bool) % 0.23/0.49 (declare-const tptp.prop2set2propI Bool) % 0.23/0.49 (declare-const tptp.binunionLsub Bool) % 0.23/0.49 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.23/0.49 (declare-const tptp.funcextLem Bool) % 0.23/0.49 (declare-const tptp.exuI2 Bool) % 0.23/0.49 (declare-const tptp.prop2setE Bool) % 0.23/0.49 (declare-const tptp.exuEu Bool) % 0.23/0.49 (declare-const tptp.setadjoinIL Bool) % 0.23/0.49 (declare-const tptp.omega__Cong Bool) % 0.23/0.49 (declare-const tptp.cartprodsndin Bool) % 0.23/0.49 (declare-const tptp.emptysetE Bool) % 0.23/0.49 (declare-const tptp.app Bool) % 0.23/0.49 (declare-const tptp.symdiffIneg1 Bool) % 0.23/0.49 (declare-const tptp.notequalI1 Bool) % 0.23/0.49 (declare-const tptp.ubforcartprodlem1 Bool) % 0.23/0.49 (declare-const tptp.quantDeMorgan1 Bool) % 0.23/0.49 (declare-const tptp.setminusSubset2 Bool) % 0.23/0.49 (declare-const tptp.setadjoinIR Bool) % 0.23/0.49 (declare-const tptp.dsetconstr__Cong Bool) % 0.23/0.49 (declare-const tptp.sepSubset Bool) % 0.23/0.49 (declare-const tptp.quantDeMorgan2 Bool) % 0.23/0.49 (declare-const tptp.subsetI1 Bool) % 0.23/0.49 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.23/0.49 (declare-const tptp.subsetE Bool) % 0.23/0.49 (declare-const tptp.exuI3 Bool) % 0.23/0.49 (declare-const tptp.subsetE2 Bool) % 0.23/0.49 (declare-const tptp.inCongP Bool) % 0.23/0.49 (declare-const tptp.setunionsingleton1 Bool) % 0.23/0.49 (declare-const tptp.in__Cong Bool) % 0.23/0.49 (declare-const tptp.cartprodmempaircEq Bool) % 0.23/0.49 (declare-const tptp.exu__Cong Bool) % 0.23/0.49 (declare-const tptp.setunionsingleton2 Bool) % 0.23/0.49 (declare-const tptp.exuE3e Bool) % 0.23/0.49 (declare-const tptp.binintersectSubset3 Bool) % 0.23/0.49 (declare-const tptp.setadjoin__Cong Bool) % 0.23/0.49 (declare-const tptp.emptyset__Cong Bool) % 0.23/0.49 (declare-const tptp.binintersectRsub Bool) % 0.23/0.49 (declare-const tptp.nonemptyE1 Bool) % 0.23/0.49 (declare-const tptp.setextAx Bool) % 0.23/0.49 (declare-const tptp.powerset__Cong Bool) % 0.23/0.49 (declare-const tptp.bs114d Bool) % 0.23/0.49 (declare-const tptp.setminusLsub Bool) % 0.23/0.49 (declare-const tptp.eqimpsubset2 Bool) % 0.23/0.49 (declare-const tptp.symdiffE Bool) % 0.23/0.49 (declare-const tptp.omega0Ax Bool) % 0.23/0.49 (declare-const tptp.subsetI2 Bool) % 0.23/0.49 (declare-const tptp.emptysetsubset Bool) % 0.23/0.49 (declare-const tptp.notsubsetI Bool) % 0.23/0.49 (declare-const tptp.ex1I2 Bool) % 0.23/0.49 (declare-const tptp.notequalI2 Bool) % 0.23/0.49 (declare-const tptp.setadjoinSub Bool) % 0.23/0.49 (declare-const tptp.kpairiskpair Bool) % 0.23/0.49 (declare-const tptp.setadjoinSub2 Bool) % 0.23/0.49 (declare-const tptp.disjointsetsI1 Bool) % 0.23/0.49 (declare-const tptp.theprop Bool) % 0.23/0.49 (declare-const tptp.singletonsubset Bool) % 0.23/0.49 (declare-const tptp.setextsub Bool) % 0.23/0.49 (declare-const tptp.setbeta Bool) % 0.23/0.49 (declare-const tptp.binintersectSubset4 Bool) % 0.23/0.49 (declare-const tptp.powersetsubset Bool) % 0.23/0.49 (declare-const tptp.brelnall1 Bool) % 0.23/0.49 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.49 (declare-const tptp.binunionIL Bool) % 0.23/0.49 (declare-const tptp.binunionIR Bool) % 0.23/0.49 (declare-const tptp.setukpairinjR1 Bool) % 0.23/0.49 (declare-const tptp.descrp Bool) % 0.23/0.49 (declare-const tptp.quantDeMorgan3 Bool) % 0.23/0.49 (declare-const tptp.binunionEcases Bool) % 0.23/0.49 (declare-const tptp.exuI1 Bool) % 0.23/0.49 (declare-const tptp.binintersectI Bool) % 0.23/0.49 (declare-const tptp.binintersectEL Bool) % 0.23/0.49 (declare-const tptp.binintersectSubset2 Bool) % 0.23/0.49 (declare-const tptp.subbreln Bool) % 0.23/0.49 (declare-const tptp.setext Bool) % 0.23/0.49 (declare-const tptp.binintersectER Bool) % 0.23/0.49 (declare-const tptp.binintersectSubset1 Bool) % 0.23/0.49 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.23/0.49 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.23/0.49 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 0.23/0.49 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.23/0.49 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.23/0.49 (define tptp.lam () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xf" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (_ (_ (_ tptp.dpsetconstr _let_5) _let_4) (lambda (@list _let_2 _let_1) (= (_ _let_3 _let_2) _let_1)))))))))) % 0.23/0.49 (define @t1 () (@var "B" $$unsorted)) % 0.23/0.49 (define @t2 () (@var "A" $$unsorted)) % 0.23/0.49 (define @t3 () (= @t2 @t1)) % 0.23/0.49 (define @t4 () (@var "Xx" $$unsorted)) % 0.23/0.49 (define @t5 () (_ tptp.in @t4)) % 0.23/0.49 (define @t6 () (_ @t5 @t1)) % 0.23/0.49 (define @t7 () (_ @t5 @t2)) % 0.23/0.49 (define @t8 () (@list @t4)) % 0.23/0.49 (define @t9 () (@list @t2 @t1)) % 0.23/0.49 (define @t10 () (_ @t5 tptp.emptyset)) % 0.23/0.49 (define @t11 () (forall @t8 (not @t10))) % 0.23/0.49 (define @t12 () (@var "Xy" $$unsorted)) % 0.23/0.49 (define @t13 () (_ tptp.in @t12)) % 0.23/0.49 (define @t14 () (_ @t13 @t2)) % 0.23/0.49 (define @t15 () (= @t12 @t4)) % 0.23/0.49 (define @t16 () (or @t15 @t14)) % 0.23/0.49 (define @t17 () (_ tptp.setadjoin @t4)) % 0.23/0.49 (define @t18 () (_ @t17 @t2)) % 0.23/0.49 (define @t19 () (_ @t13 @t18)) % 0.23/0.49 (define @t20 () (@list @t4 @t2 @t12)) % 0.23/0.49 (define @t21 () (=> @t6 @t7)) % 0.23/0.49 (define @t22 () (forall @t8 @t21)) % 0.23/0.49 (define @t23 () (_ tptp.powerset @t2)) % 0.23/0.49 (define @t24 () (_ tptp.in @t1)) % 0.23/0.49 (define @t25 () (_ @t24 @t23)) % 0.23/0.49 (define @t26 () (_ @t24 @t2)) % 0.23/0.49 (define @t27 () (@list @t1)) % 0.23/0.49 (define @t28 () (_ tptp.setunion @t2)) % 0.23/0.49 (define @t29 () (_ @t5 @t28)) % 0.23/0.49 (define @t30 () (@list @t2 @t4)) % 0.23/0.49 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.23/0.49 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.23/0.49 (define @t33 () (_ @t5 tptp.omega)) % 0.23/0.49 (define @t34 () (@list @t2)) % 0.23/0.49 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.23/0.49 (define @t36 () (@list @t12)) % 0.23/0.49 (define @t37 () (_ (_ @t35 @t4) @t12)) % 0.23/0.49 (define @t38 () (exists @t8 @t7)) % 0.23/0.49 (define @t39 () (@var "E" $$unsorted)) % 0.23/0.49 (define @t40 () (@var "D" $$unsorted)) % 0.23/0.49 (define @t41 () (_ @t13 @t40)) % 0.23/0.49 (define @t42 () (@var "C" $$unsorted)) % 0.23/0.49 (define @t43 () (_ @t13 @t42)) % 0.23/0.49 (define @t44 () (_ @t5 @t42)) % 0.23/0.49 (define @t45 () (_ (_ tptp.in @t40) @t1)) % 0.23/0.49 (define @t46 () (forall @t8 (=> @t44 @t7))) % 0.23/0.49 (define @t47 () (@list @t42)) % 0.23/0.49 (define @t48 () (_ @t5 @t40)) % 0.23/0.49 (define @t49 () (_ (_ tptp.in @t42) @t1)) % 0.23/0.49 (define @t50 () (= @t4 @t12)) % 0.23/0.49 (define @t51 () (@list @t4 @t12)) % 0.23/0.49 (define @t52 () (@var "Xphi" (-> $$unsorted Bool))) % 0.23/0.49 (define @t53 () (_ @t52 @t4)) % 0.23/0.49 (define @t54 () (lambda @t8 @t53)) % 0.23/0.49 (define @t55 () (_ tptp.descr @t54)) % 0.23/0.49 (define @t56 () (_ tptp.exu @t54)) % 0.23/0.49 (define @t57 () (@list @t52)) % 0.23/0.49 (define @t58 () (_ @t52 @t12)) % 0.23/0.49 (define @t59 () (lambda @t36 @t58)) % 0.23/0.49 (define @t60 () (_ tptp.dsetconstr @t2)) % 0.23/0.49 (define @t61 () (_ @t60 @t59)) % 0.23/0.49 (define @t62 () (_ @t5 @t61)) % 0.23/0.49 (define @t63 () (@list @t2 @t52 @t4)) % 0.23/0.49 (define @t64 () (=> @t58 @t50)) % 0.23/0.49 (define @t65 () (exists @t8 (and @t53 (forall @t36 @t64)))) % 0.23/0.49 (define @t66 () (@var "Xphi" Bool)) % 0.23/0.49 (define @t67 () (_ tptp.prop2set @t66)) % 0.23/0.49 (define @t68 () (@list @t66)) % 0.23/0.49 (define @t69 () (exists @t8 @t53)) % 0.23/0.49 (define @t70 () (=> @t7 @t6)) % 0.23/0.49 (define @t71 () (forall @t8 @t70)) % 0.23/0.49 (define @t72 () (= @t2 tptp.emptyset)) % 0.23/0.49 (define @t73 () (not @t7)) % 0.23/0.49 (define @t74 () (forall @t34 (=> (forall @t8 @t73) @t72))) % 0.23/0.49 (define @t75 () (_ tptp.nonempty @t2)) % 0.23/0.49 (define @t76 () (forall @t34 (_ @t31 @t23))) % 0.23/0.49 (define @t77 () (@list @t2 @t1 @t4)) % 0.23/0.49 (define @t78 () (@list @t2 @t4 @t1)) % 0.23/0.49 (define @t79 () (exists @t8 (forall @t36 (= @t58 @t15)))) % 0.23/0.49 (define @t80 () (_ tptp.setadjoin @t12)) % 0.23/0.49 (define @t81 () (_ @t80 tptp.emptyset)) % 0.23/0.49 (define @t82 () (_ @t5 @t81)) % 0.23/0.49 (define @t83 () (_ @t17 tptp.emptyset)) % 0.23/0.49 (define @t84 () (_ @t13 @t83)) % 0.23/0.49 (define @t85 () (@var "Xz" $$unsorted)) % 0.23/0.49 (define @t86 () (_ @t17 @t81)) % 0.23/0.49 (define @t87 () (@list @t4 @t12 @t85)) % 0.23/0.49 (define @t88 () (forall @t87 (=> (_ (_ tptp.in @t85) @t86) (or (= @t85 @t4) (= @t85 @t12))))) % 0.23/0.49 (define @t89 () (forall @t51 (_ @t13 @t86))) % 0.23/0.49 (define @t90 () (_ @t60 @t54)) % 0.23/0.49 (define @t91 () (exists @t8 (and @t7 @t53))) % 0.23/0.49 (define @t92 () (@list @t2 @t52)) % 0.23/0.49 (define @t93 () (not @t53)) % 0.23/0.49 (define @t94 () (exists @t8 (and @t7 @t93))) % 0.23/0.49 (define @t95 () (not (forall @t8 (=> @t7 @t53)))) % 0.23/0.49 (define @t96 () (forall @t92 (=> @t95 @t94))) % 0.23/0.49 (define @t97 () (not @t91)) % 0.23/0.49 (define @t98 () (forall @t8 (=> @t7 @t93))) % 0.23/0.49 (define @t99 () (forall @t92 (=> @t97 @t98))) % 0.23/0.49 (define @t100 () (=> @t53 @t64)) % 0.23/0.49 (define @t101 () (forall @t51 @t100)) % 0.23/0.49 (define @t102 () (_ @t13 @t1)) % 0.23/0.49 (define @t103 () (forall @t57 (=> @t56 @t101))) % 0.23/0.49 (define @t104 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.23/0.49 (define @t105 () (lambda @t8 (_ @t104 @t4))) % 0.23/0.49 (define @t106 () (_ tptp.exu @t105)) % 0.23/0.49 (define @t107 () (=> @t50 (= @t53 (_ @t104 @t12)))) % 0.23/0.49 (define @t108 () (forall @t51 @t107)) % 0.23/0.49 (define @t109 () (@list @t52 @t104)) % 0.23/0.49 (define @t110 () (@var "Xu" $$unsorted)) % 0.23/0.49 (define @t111 () (= @t85 @t110)) % 0.23/0.49 (define @t112 () (@list @t85 @t110)) % 0.23/0.49 (define @t113 () (_ tptp.powerset @t1)) % 0.23/0.49 (define @t114 () (_ tptp.dsetconstr @t1)) % 0.23/0.49 (define @t115 () (_ tptp.subset @t2)) % 0.23/0.49 (define @t116 () (_ @t115 @t1)) % 0.23/0.49 (define @t117 () (forall @t9 (=> @t71 @t116))) % 0.23/0.49 (define @t118 () (_ tptp.subset @t1)) % 0.23/0.49 (define @t119 () (_ @t118 @t2)) % 0.23/0.49 (define @t120 () (not @t6)) % 0.23/0.49 (define @t121 () (=> @t120 @t73)) % 0.23/0.49 (define @t122 () (not @t116)) % 0.23/0.49 (define @t123 () (not @t3)) % 0.23/0.49 (define @t124 () (@list @t2 @t1 @t42)) % 0.23/0.49 (define @t125 () (_ tptp.in @t2)) % 0.23/0.49 (define @t126 () (_ (_ tptp.binunion @t2) @t1)) % 0.23/0.49 (define @t127 () (_ @t5 @t126)) % 0.23/0.49 (define @t128 () (=> @t6 @t66)) % 0.23/0.49 (define @t129 () (_ tptp.binintersect @t2)) % 0.23/0.49 (define @t130 () (_ @t129 @t1)) % 0.23/0.49 (define @t131 () (_ @t5 @t130)) % 0.23/0.49 (define @t132 () (_ tptp.subset @t42)) % 0.23/0.49 (define @t133 () (_ tptp.subset @t130)) % 0.23/0.49 (define @t134 () (= @t130 @t2)) % 0.23/0.49 (define @t135 () (= @t130 @t1)) % 0.23/0.49 (define @t136 () (_ (_ tptp.setminus @t2) @t1)) % 0.23/0.49 (define @t137 () (_ @t5 @t136)) % 0.23/0.49 (define @t138 () (= @t136 tptp.emptyset)) % 0.23/0.49 (define @t139 () (not @t137)) % 0.23/0.49 (define @t140 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.23/0.49 (define @t141 () (not @t140)) % 0.23/0.49 (define @t142 () (_ tptp.setadjoin @t83)) % 0.23/0.49 (define @t143 () (_ @t142 (_ (_ tptp.setadjoin @t86) tptp.emptyset))) % 0.23/0.49 (define @t144 () (_ tptp.setunion @t143)) % 0.23/0.49 (define @t145 () (_ tptp.kpair @t4)) % 0.23/0.49 (define @t146 () (_ @t145 @t12)) % 0.23/0.49 (define @t147 () (_ tptp.in @t83)) % 0.23/0.49 (define @t148 () (_ tptp.powerset @t126)) % 0.23/0.49 (define @t149 () (_ tptp.powerset @t148)) % 0.23/0.49 (define @t150 () (_ tptp.in @t146)) % 0.23/0.49 (define @t151 () (_ (_ tptp.cartprod @t2) @t1)) % 0.23/0.49 (define @t152 () (_ @t150 @t151)) % 0.23/0.49 (define @t153 () (_ (_ tptp.in @t110) @t151)) % 0.23/0.49 (define @t154 () (@list @t2 @t1 @t110)) % 0.23/0.49 (define @t155 () (_ tptp.iskpair @t110)) % 0.23/0.49 (define @t156 () (@var "X" $$unsorted)) % 0.23/0.49 (define @t157 () (@list @t156)) % 0.23/0.49 (define @t158 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.23/0.49 (define @t159 () (_ tptp.singleton @t90)) % 0.23/0.49 (define @t160 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t100))))) % 0.23/0.49 (define @t161 () (_ tptp.ex1 @t2)) % 0.23/0.49 (define @t162 () (_ @t161 @t54)) % 0.23/0.49 (define @t163 () (= @t4 @t85)) % 0.23/0.49 (define @t164 () (_ tptp.setadjoin @t85)) % 0.23/0.49 (define @t165 () (_ @t164 tptp.emptyset)) % 0.23/0.49 (define @t166 () (_ tptp.dsetconstr (_ tptp.setunion @t110))) % 0.23/0.49 (define @t167 () (@list @t110)) % 0.23/0.49 (define @t168 () (= (_ tptp.kfst @t146) @t4)) % 0.23/0.49 (define @t169 () (_ tptp.kfst @t110)) % 0.23/0.49 (define @t170 () (= @t143 (_ (_ tptp.setadjoin @t165) (_ (_ tptp.setadjoin (_ @t164 (_ (_ tptp.setadjoin @t110) tptp.emptyset))) tptp.emptyset)))) % 0.23/0.49 (define @t171 () (@list @t4 @t12 @t85 @t110)) % 0.23/0.49 (define @t172 () (= @t146 (_ (_ tptp.kpair @t85) @t110))) % 0.23/0.49 (define @t173 () (= @t12 @t110)) % 0.23/0.49 (define @t174 () (_ tptp.kpair @t169)) % 0.23/0.49 (define @t175 () (= (_ tptp.ksnd @t146) @t12)) % 0.23/0.49 (define @t176 () (_ tptp.ksnd @t110)) % 0.23/0.49 (define @t177 () (= (_ @t174 @t176) @t110)) % 0.23/0.49 (define @t178 () (@list @t2 @t1 @t4 @t12)) % 0.23/0.49 (define @t179 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 0.23/0.49 (define @t180 () (_ @t150 (_ @t179 (lambda @t112 (_ (_ @t35 @t85) @t110))))) % 0.23/0.49 (define @t181 () (@list @t2 @t1 @t35 @t4)) % 0.23/0.49 (define @t182 () (_ @t179 (lambda @t51 @t37))) % 0.23/0.49 (define @t183 () (@list @t2 @t1 @t35)) % 0.23/0.49 (define @t184 () (_ (_ tptp.breln @t2) @t1)) % 0.23/0.49 (define @t185 () (=> @t180 @t37)) % 0.23/0.49 (define @t186 () (@list @t2 @t1 @t35 @t4 @t12)) % 0.23/0.49 (define @t187 () (@var "Xf" $$unsorted)) % 0.23/0.49 (define @t188 () (_ @t150 @t187)) % 0.23/0.49 (define @t189 () (_ @t114 (lambda @t36 @t188))) % 0.23/0.49 (define @t190 () (_ (_ tptp.func @t2) @t1)) % 0.23/0.49 (define @t191 () (_ @t190 @t187)) % 0.23/0.49 (define @t192 () (@list @t2 @t1 @t187)) % 0.23/0.49 (define @t193 () (_ (_ tptp.ap @t2) @t1)) % 0.23/0.49 (define @t194 () (_ (_ @t193 @t187) @t4)) % 0.23/0.49 (define @t195 () (forall @t8 (=> @t7 (_ (_ tptp.in @t194) @t1)))) % 0.23/0.49 (define @t196 () (_ (_ tptp.funcSet @t2) @t1)) % 0.23/0.49 (define @t197 () (_ (_ tptp.in @t187) @t196)) % 0.23/0.49 (define @t198 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.23/0.49 (define @t199 () (_ @t198 @t4)) % 0.23/0.49 (define @t200 () (_ @t179 (lambda @t51 (= @t199 @t12)))) % 0.23/0.49 (define @t201 () (forall @t8 (=> @t7 (_ (_ tptp.in @t199) @t1)))) % 0.23/0.49 (define @t202 () (@list @t2 @t1 @t198)) % 0.23/0.49 (define @t203 () (_ (_ (_ tptp.lam @t2) @t1) (lambda @t8 @t199))) % 0.23/0.49 (define @t204 () (@var "R" $$unsorted)) % 0.23/0.49 (define @t205 () (_ @t150 @t204)) % 0.23/0.49 (define @t206 () (_ @t184 @t204)) % 0.23/0.49 (define @t207 () (@list @t2 @t1 @t204)) % 0.23/0.49 (define @t208 () (forall @t207 (=> @t206 (forall @t57 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t102 (=> @t205 (_ @t52 @t146)))))) (forall @t8 (=> (_ @t5 @t204) @t53))))))) % 0.23/0.49 (define @t209 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ @t145 @t194)) @t187)))) % 0.23/0.49 (define @t210 () (forall @t8 (=> @t7 (forall @t36 (=> @t102 (=> @t188 (= @t194 @t12))))))) % 0.23/0.49 (define @t211 () (@var "Xg" $$unsorted)) % 0.23/0.49 (define @t212 () (forall @t8 (=> @t7 (= @t194 (_ (_ @t193 @t211) @t4))))) % 0.23/0.49 (define @t213 () (_ @t190 @t211)) % 0.23/0.49 (define @t214 () (@list @t211)) % 0.23/0.49 (define @t215 () (@var "S" $$unsorted)) % 0.23/0.49 (define @t216 () (_ @t150 @t215)) % 0.23/0.49 (define @t217 () (forall @t8 (=> @t7 (forall @t36 (=> @t102 (=> @t205 @t216)))))) % 0.23/0.49 (define @t218 () (_ @t184 @t215)) % 0.23/0.49 (define @t219 () (@list @t215)) % 0.23/0.49 (define @t220 () (=> @t212 (= @t187 @t211))) % 0.23/0.49 (define @t221 () (=> @t7 (= @t194 @t194))) % 0.23/0.49 (define @t222 () (forall @t8 @t221)) % 0.23/0.49 (define @t223 () (=> @t191 @t222)) % 0.23/0.49 (define @t224 () (forall @t192 @t223)) % 0.23/0.49 (define @t225 () (=> tptp.ap2apEq1 @t224)) % 0.23/0.49 (define @t226 () (=> tptp.funcext2 @t225)) % 0.23/0.49 (define @t227 () (=> tptp.funcext @t226)) % 0.23/0.49 (define @t228 () (=> tptp.eqbreln @t227)) % 0.23/0.49 (define @t229 () (=> tptp.subbreln @t228)) % 0.23/0.49 (define @t230 () (=> tptp.funcGraphProp4 @t229)) % 0.23/0.49 (define @t231 () (=> tptp.funcextLem @t230)) % 0.23/0.49 (define @t232 () (=> tptp.funcGraphProp2 @t231)) % 0.23/0.49 (define @t233 () (=> tptp.funcGraphProp3 @t232)) % 0.23/0.49 (define @t234 () (=> tptp.funcGraphProp1 @t233)) % 0.23/0.49 (define @t235 () (=> tptp.ex1E2 @t234)) % 0.23/0.49 (define @t236 () (=> tptp.brelnall2 @t235)) % 0.23/0.49 (define @t237 () (=> tptp.brelnall1 @t236)) % 0.23/0.49 (define @t238 () (=> tptp.lam2p @t237)) % 0.23/0.49 (define @t239 () (=> tptp.lamp @t238)) % 0.23/0.49 (define @t240 () (=> tptp.lamProp @t239)) % 0.23/0.49 (define @t241 () (=> tptp.funcinfuncset @t240)) % 0.23/0.49 (define @t242 () (=> tptp.ap2p @t241)) % 0.23/0.49 (define @t243 () (=> tptp.infuncsetfunc @t242)) % 0.23/0.49 (define @t244 () (=> tptp.app @t243)) % 0.23/0.49 (define @t245 () (=> tptp.apProp @t244)) % 0.23/0.49 (define @t246 () (=> tptp.funcImageSingleton @t245)) % 0.23/0.49 (define @t247 () (=> tptp.dpsetconstrER @t246)) % 0.23/0.49 (define @t248 () (=> tptp.dpsetconstrEL2 @t247)) % 0.23/0.49 (define @t249 () (=> tptp.dpsetconstrEL1 @t248)) % 0.23/0.49 (define @t250 () (=> tptp.dpsetconstrERa @t249)) % 0.23/0.49 (define @t251 () (=> tptp.setOfPairsIsBReln @t250)) % 0.23/0.49 (define @t252 () (=> tptp.dpsetconstrSub @t251)) % 0.23/0.49 (define @t253 () (=> tptp.dpsetconstrI @t252)) % 0.23/0.49 (define @t254 () (=> tptp.cartprodpairsurjEq @t253)) % 0.23/0.49 (define @t255 () (=> tptp.cartprodsndpairEq @t254)) % 0.23/0.49 (define @t256 () (=> tptp.cartprodfstpairEq @t255)) % 0.23/0.49 (define @t257 () (=> tptp.cartprodmempaircEq @t256)) % 0.23/0.49 (define @t258 () (=> tptp.cartprodpairmemER @t257)) % 0.23/0.49 (define @t259 () (=> tptp.cartprodpairmemEL @t258)) % 0.23/0.49 (define @t260 () (=> tptp.cartprodsndin @t259)) % 0.23/0.49 (define @t261 () (=> tptp.kpairsurjEq @t260)) % 0.23/0.49 (define @t262 () (=> tptp.ksndpairEq @t261)) % 0.23/0.49 (define @t263 () (=> tptp.ksndsingleton @t262)) % 0.23/0.49 (define @t264 () (=> tptp.setukpairinjR @t263)) % 0.23/0.49 (define @t265 () (=> tptp.setukpairinjR2 @t264)) % 0.23/0.49 (define @t266 () (=> tptp.upairequniteq @t265)) % 0.23/0.49 (define @t267 () (=> tptp.setukpairinjR1 @t266)) % 0.23/0.49 (define @t268 () (=> tptp.setukpairinjR12 @t267)) % 0.23/0.49 (define @t269 () (=> tptp.setukpairinjR11 @t268)) % 0.23/0.49 (define @t270 () (=> tptp.setukpairinjL @t269)) % 0.23/0.49 (define @t271 () (=> tptp.setukpairinjL2 @t270)) % 0.23/0.49 (define @t272 () (=> tptp.cartprodfstin @t271)) % 0.23/0.49 (define @t273 () (=> tptp.kfstpairEq @t272)) % 0.23/0.49 (define @t274 () (=> tptp.theprop @t273)) % 0.23/0.49 (define @t275 () (=> tptp.kfstsingleton @t274)) % 0.23/0.49 (define @t276 () (=> tptp.setukpairinjL1 @t275)) % 0.23/0.49 (define @t277 () (=> tptp.singletonsuniq @t276)) % 0.23/0.49 (define @t278 () (=> tptp.ex1I2 @t277)) % 0.23/0.49 (define @t279 () (=> tptp.ex1I @t278)) % 0.23/0.49 (define @t280 () (=> tptp.ex1E1 @t279)) % 0.23/0.49 (define @t281 () (=> tptp.singletonprop @t280)) % 0.23/0.49 (define @t282 () (=> tptp.setunionsingleton @t281)) % 0.23/0.49 (define @t283 () (=> tptp.setunionsingleton2 @t282)) % 0.23/0.49 (define @t284 () (=> tptp.setunionsingleton1 @t283)) % 0.23/0.49 (define @t285 () (=> tptp.setunionE2 @t284)) % 0.23/0.49 (define @t286 () (=> tptp.cartprodmempair @t285)) % 0.23/0.49 (define @t287 () (=> tptp.cartprodmempair1 @t286)) % 0.23/0.49 (define @t288 () (=> tptp.cartprodpairin @t287)) % 0.23/0.49 (define @t289 () (=> tptp.ubforcartprodlem3 @t288)) % 0.23/0.49 (define @t290 () (=> tptp.ubforcartprodlem2 @t289)) % 0.23/0.49 (define @t291 () (=> tptp.ubforcartprodlem1 @t290)) % 0.23/0.49 (define @t292 () (=> tptp.upairinpowunion @t291)) % 0.23/0.49 (define @t293 () (=> tptp.upairsubunion @t292)) % 0.23/0.49 (define @t294 () (=> tptp.upairset2E @t293)) % 0.23/0.49 (define @t295 () (=> tptp.singletoninpowunion @t294)) % 0.23/0.49 (define @t296 () (=> tptp.singletoninpowerset @t295)) % 0.23/0.49 (define @t297 () (=> tptp.singletonsubset @t296)) % 0.23/0.49 (define @t298 () (=> tptp.kpairp @t297)) % 0.23/0.49 (define @t299 () (=> tptp.kpairiskpair @t298)) % 0.23/0.49 (define @t300 () (=> tptp.setukpairIR @t299)) % 0.23/0.49 (define @t301 () (=> tptp.setukpairIL @t300)) % 0.23/0.49 (define @t302 () (=> tptp.secondinupair @t301)) % 0.23/0.49 (define @t303 () (=> tptp.symdiffIneg2 @t302)) % 0.23/0.49 (define @t304 () (=> tptp.symdiffIneg1 @t303)) % 0.23/0.49 (define @t305 () (=> tptp.symdiffI2 @t304)) % 0.23/0.49 (define @t306 () (=> tptp.symdiffI1 @t305)) % 0.23/0.49 (define @t307 () (=> tptp.symdiffE @t306)) % 0.23/0.49 (define @t308 () (=> tptp.setminusSubset1 @t307)) % 0.23/0.49 (define @t309 () (=> tptp.setminusLsub @t308)) % 0.23/0.49 (define @t310 () (=> tptp.setminusIRneg @t309)) % 0.23/0.49 (define @t311 () (=> tptp.setminusILneg @t310)) % 0.23/0.49 (define @t312 () (=> tptp.setminusELneg @t311)) % 0.23/0.49 (define @t313 () (=> tptp.setminusERneg @t312)) % 0.23/0.49 (define @t314 () (=> tptp.setminusSubset2 @t313)) % 0.23/0.49 (define @t315 () (=> tptp.setminusER @t314)) % 0.23/0.49 (define @t316 () (=> tptp.setminusEL @t315)) % 0.23/0.49 (define @t317 () (=> tptp.setminusI @t316)) % 0.23/0.49 (define @t318 () (=> tptp.bs114d @t317)) % 0.23/0.49 (define @t319 () (=> tptp.binintersectSubset1 @t318)) % 0.23/0.49 (define @t320 () (=> tptp.binintersectSubset4 @t319)) % 0.23/0.49 (define @t321 () (=> tptp.binintersectRsub @t320)) % 0.23/0.49 (define @t322 () (=> tptp.disjointsetsI1 @t321)) % 0.23/0.49 (define @t323 () (=> tptp.binintersectER @t322)) % 0.23/0.49 (define @t324 () (=> tptp.binintersectSubset3 @t323)) % 0.23/0.49 (define @t325 () (=> tptp.binintersectSubset2 @t324)) % 0.23/0.49 (define @t326 () (=> tptp.binintersectLsub @t325)) % 0.23/0.49 (define @t327 () (=> tptp.binintersectEL @t326)) % 0.23/0.49 (define @t328 () (=> tptp.binintersectSubset5 @t327)) % 0.23/0.49 (define @t329 () (=> tptp.binintersectI @t328)) % 0.23/0.49 (define @t330 () (=> tptp.binunionRsub @t329)) % 0.23/0.49 (define @t331 () (=> tptp.binunionLsub @t330)) % 0.23/0.49 (define @t332 () (=> tptp.binunionE @t331)) % 0.23/0.49 (define @t333 () (=> tptp.binunionEcases @t332)) % 0.23/0.49 (define @t334 () (=> tptp.binunionIR @t333)) % 0.23/0.49 (define @t335 () (=> tptp.upairset2IR @t334)) % 0.23/0.49 (define @t336 () (=> tptp.binunionIL @t335)) % 0.23/0.49 (define @t337 () (=> tptp.sepSubset @t336)) % 0.23/0.49 (define @t338 () (=> tptp.sepInPowerset @t337)) % 0.23/0.49 (define @t339 () (=> tptp.powersetsubset @t338)) % 0.23/0.49 (define @t340 () (=> tptp.inPowerset @t339)) % 0.23/0.49 (define @t341 () (=> tptp.powersetE1 @t340)) % 0.23/0.49 (define @t342 () (=> tptp.powersetI1 @t341)) % 0.23/0.49 (define @t343 () (=> tptp.subsetemptysetimpeq @t342)) % 0.23/0.49 (define @t344 () (=> tptp.setextsub @t343)) % 0.23/0.49 (define @t345 () (=> tptp.subset2powerset @t344)) % 0.23/0.49 (define @t346 () (=> tptp.setadjoinSub2 @t345)) % 0.23/0.49 (define @t347 () (=> tptp.setadjoinSub @t346)) % 0.23/0.49 (define @t348 () (=> tptp.subsetTrans @t347)) % 0.23/0.49 (define @t349 () (=> tptp.subsetRefl @t348)) % 0.23/0.49 (define @t350 () (=> tptp.notequalI2 @t349)) % 0.23/0.49 (define @t351 () (=> tptp.notequalI1 @t350)) % 0.23/0.49 (define @t352 () (=> tptp.notsubsetI @t351)) % 0.23/0.49 (define @t353 () (=> tptp.subsetE2 @t352)) % 0.23/0.49 (define @t354 () (=> tptp.subsetE @t353)) % 0.23/0.49 (define @t355 () (=> tptp.emptysetsubset @t354)) % 0.23/0.49 (define @t356 () (=> tptp.subsetI2 @t355)) % 0.23/0.49 (define @t357 () (=> tptp.eqimpsubset1 @t356)) % 0.23/0.49 (define @t358 () (=> tptp.eqimpsubset2 @t357)) % 0.23/0.49 (define @t359 () (=> tptp.subsetI1 @t358)) % 0.23/0.49 (define @t360 () (=> tptp.dsetconstr__Cong @t359)) % 0.23/0.49 (define @t361 () (=> tptp.descr__Cong @t360)) % 0.23/0.49 (define @t362 () (=> tptp.exuEu @t361)) % 0.23/0.49 (define @t363 () (=> tptp.omega__Cong @t362)) % 0.23/0.49 (define @t364 () (=> tptp.setunion__Cong @t363)) % 0.23/0.49 (define @t365 () (=> tptp.powerset__Cong @t364)) % 0.23/0.49 (define @t366 () (=> tptp.setadjoin__Cong @t365)) % 0.23/0.49 (define @t367 () (=> tptp.emptyset__Cong @t366)) % 0.23/0.49 (define @t368 () (=> tptp.exu__Cong @t367)) % 0.23/0.49 (define @t369 () (=> tptp.exuE3u @t368)) % 0.23/0.49 (define @t370 () (=> tptp.in__Cong @t369)) % 0.23/0.49 (define @t371 () (=> tptp.inCongP @t370)) % 0.23/0.49 (define @t372 () (=> tptp.exuI2 @t371)) % 0.23/0.49 (define @t373 () (=> tptp.exuI3 @t372)) % 0.23/0.49 (define @t374 () (=> tptp.exuI1 @t373)) % 0.23/0.49 (define @t375 () (=> tptp.notdallE @t374)) % 0.23/0.49 (define @t376 () (=> tptp.notdexE @t375)) % 0.23/0.49 (define @t377 () (=> tptp.prop2set2propI @t376)) % 0.23/0.49 (define @t378 () (=> tptp.prop2setI @t377)) % 0.23/0.49 (define @t379 () (=> tptp.quantDeMorgan4 @t378)) % 0.23/0.49 (define @t380 () (=> tptp.quantDeMorgan3 @t379)) % 0.23/0.49 (define @t381 () (=> tptp.quantDeMorgan2 @t380)) % 0.23/0.49 (define @t382 () (=> tptp.quantDeMorgan1 @t381)) % 0.23/0.49 (define @t383 () (=> tptp.vacuousDall @t382)) % 0.23/0.49 (define @t384 () (=> tptp.emptyE1 @t383)) % 0.23/0.49 (define @t385 () (=> tptp.upairsetIR @t384)) % 0.23/0.49 (define @t386 () (=> tptp.upairsetIL @t385)) % 0.23/0.49 (define @t387 () (=> tptp.upairsetE @t386)) % 0.23/0.49 (define @t388 () (=> tptp.singletonsswitch @t387)) % 0.23/0.49 (define @t389 () (=> tptp.eqinunit @t388)) % 0.23/0.49 (define @t390 () (=> tptp.notinsingleton @t389)) % 0.23/0.49 (define @t391 () (=> tptp.uniqinunit @t390)) % 0.23/0.49 (define @t392 () (=> tptp.nonemptyImpWitness @t391)) % 0.23/0.49 (define @t393 () (=> tptp.exuE2 @t392)) % 0.23/0.49 (define @t394 () (=> tptp.subPowSU @t393)) % 0.23/0.49 (define @t395 () (=> tptp.setunionE @t394)) % 0.23/0.49 (define @t396 () (=> tptp.setunionI @t395)) % 0.23/0.49 (define @t397 () (=> tptp.powersetE @t396)) % 0.23/0.49 (define @t398 () (=> tptp.emptyInPowerset @t397)) % 0.23/0.49 (define @t399 () (=> tptp.emptyinPowerset @t398)) % 0.23/0.49 (define @t400 () (=> tptp.powersetI @t399)) % 0.23/0.49 (define @t401 () (=> tptp.setoftrueEq @t400)) % 0.23/0.49 (define @t402 () (=> tptp.setadjoinOr @t401)) % 0.23/0.49 (define @t403 () (=> tptp.setadjoinE @t402)) % 0.23/0.49 (define @t404 () (=> tptp.setadjoinIR @t403)) % 0.23/0.49 (define @t405 () (=> tptp.emptyinunitempty @t404)) % 0.23/0.49 (define @t406 () (=> tptp.setadjoinIL @t405)) % 0.23/0.49 (define @t407 () (=> tptp.nonemptyI1 @t406)) % 0.23/0.49 (define @t408 () (=> tptp.nonemptyI @t407)) % 0.23/0.49 (define @t409 () (=> tptp.nonemptyE1 @t408)) % 0.23/0.49 (define @t410 () (=> tptp.setbeta @t409)) % 0.23/0.49 (define @t411 () (=> tptp.noeltsimpempty @t410)) % 0.23/0.49 (define @t412 () (=> tptp.emptyI @t411)) % 0.23/0.49 (define @t413 () (=> tptp.setext @t412)) % 0.23/0.49 (define @t414 () (=> tptp.exuE3e @t413)) % 0.23/0.49 (define @t415 () (=> tptp.notinemptyset @t414)) % 0.23/0.49 (define @t416 () (=> tptp.emptysetimpfalse @t415)) % 0.23/0.49 (define @t417 () (=> tptp.emptysetE @t416)) % 0.23/0.49 (define @t418 () (=> tptp.prop2setE @t417)) % 0.23/0.49 (define @t419 () (=> tptp.exuE1 @t418)) % 0.23/0.49 (define @t420 () (=> tptp.dsetconstrER @t419)) % 0.23/0.49 (define @t421 () (=> tptp.dsetconstrEL @t420)) % 0.23/0.49 (define @t422 () (=> tptp.dsetconstrI @t421)) % 0.23/0.49 (define @t423 () (=> tptp.descrp @t422)) % 0.23/0.49 (define @t424 () (=> tptp.wellorderingAx @t423)) % 0.23/0.49 (define @t425 () (=> tptp.foundationAx @t424)) % 0.23/0.49 (define @t426 () (=> tptp.replAx @t425)) % 0.23/0.49 (define @t427 () (=> tptp.omegaIndAx @t426)) % 0.23/0.49 (define @t428 () (=> tptp.omegaSAx @t427)) % 0.23/0.49 (define @t429 () (=> tptp.omega0Ax @t428)) % 0.23/0.49 (define @t430 () (=> tptp.setunionAx @t429)) % 0.23/0.49 (define @t431 () (=> tptp.powersetAx @t430)) % 0.23/0.49 (define @t432 () (=> tptp.setadjoinAx @t431)) % 0.23/0.49 (define @t433 () (=> tptp.emptysetAx @t432)) % 0.23/0.49 (define @t434 () (=> tptp.setextAx @t433)) % 0.23/0.49 (define @t435 () (not @t434)) % 0.23/0.49 (define @t436 () (lambda @t57 @t65)) % 0.23/0.49 (define @t437 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.23/0.49 (define @t438 () (lambda @t34 (exists @t8 (and @t7 (= @t2 @t83))))) % 0.23/0.49 (define @t439 () (lambda @t92 @t159)) % 0.23/0.49 (define @t440 () (lambda @t124 (_ @t132 @t151))) % 0.23/0.49 (define @t441 () (lambda @t202 @t200)) % 0.23/0.49 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.23/0.49 (assume @p2 (= tptp.emptysetAx @t11)) % 0.23/0.49 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.23/0.49 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.23/0.49 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.23/0.49 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.23/0.49 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.23/0.49 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.23/0.49 (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)))))))))) % 0.23/0.49 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t38 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.23/0.49 (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))))))))))))) % 0.23/0.49 (assume @p12 (= tptp.descrp (forall @t57 (=> @t56 (_ @t52 @t55))))) % 0.23/0.49 (assume @p13 (= tptp.dsetconstrI (forall @t63 (=> @t7 (=> @t53 @t62))))) % 0.23/0.49 (assume @p14 (= tptp.dsetconstrEL (forall @t63 (=> @t62 @t7)))) % 0.23/0.49 (assume @p15 (= tptp.dsetconstrER (forall @t63 (=> @t62 @t53)))) % 0.23/0.49 (assume @p16 (= tptp.exuE1 (forall @t57 (=> @t56 @t65)))) % 0.23/0.49 (assume @p17 (= tptp.prop2setE (forall (@list @t66 @t4) (=> (_ @t5 @t67) @t66)))) % 0.23/0.49 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t68 @t66))))) % 0.23/0.49 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.23/0.49 (assume @p20 (= tptp.notinemptyset @t11)) % 0.23/0.49 (assume @p21 (= tptp.exuE3e (forall @t57 (=> @t56 @t69)))) % 0.23/0.49 (assume @p22 (= tptp.setext (forall @t9 (=> @t71 (=> @t22 @t3))))) % 0.23/0.49 (assume @p23 (= tptp.emptyI @t74)) % 0.23/0.49 (assume @p24 (= tptp.noeltsimpempty @t74)) % 0.23/0.49 (assume @p25 (= tptp.setbeta (forall @t63 (=> @t7 (= @t62 @t53))))) % 0.23/0.49 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t75 @t38)))) % 0.23/0.49 (assume @p27 (= tptp.nonemptyI (forall @t63 (=> @t7 (=> @t53 (_ tptp.nonempty @t61)))))) % 0.23/0.49 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t38 @t75)))) % 0.23/0.49 (assume @p29 (= tptp.setadjoinIL (forall @t51 (_ @t5 (_ @t17 @t12))))) % 0.23/0.49 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.23/0.49 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.23/0.49 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t68 (=> (=> @t15 @t66) (=> (=> @t14 @t66) @t66))))))) % 0.23/0.49 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.23/0.49 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t60 (lambda @t8 true)) @t2)))) % 0.23/0.49 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.23/0.49 (assume @p36 (= tptp.emptyinPowerset @t76)) % 0.23/0.49 (assume @p37 (= tptp.emptyInPowerset @t76)) % 0.23/0.49 (assume @p38 (= tptp.powersetE (forall @t77 (=> @t25 @t21)))) % 0.23/0.49 (assume @p39 (= tptp.setunionI (forall @t78 (=> @t6 (=> @t26 @t29))))) % 0.23/0.49 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t68 (=> (forall @t27 (=> @t6 (=> @t26 @t66))) @t66)))))) % 0.23/0.49 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.23/0.49 (assume @p42 (= tptp.exuE2 (forall @t57 (=> @t56 @t79)))) % 0.23/0.49 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t75 (exists @t8 (and @t7 true)))))) % 0.23/0.49 (assume @p44 (= tptp.uniqinunit (forall @t51 (=> @t82 @t50)))) % 0.23/0.49 (assume @p45 (= tptp.notinsingleton (forall @t51 (=> (not @t50) (not @t84))))) % 0.23/0.49 (assume @p46 (= tptp.eqinunit (forall @t51 (=> @t50 @t82)))) % 0.23/0.49 (assume @p47 (= tptp.singletonsswitch (forall @t51 (=> @t82 @t84)))) % 0.23/0.49 (assume @p48 (= tptp.upairsetE @t88)) % 0.23/0.49 (assume @p49 (= tptp.upairsetIL (forall @t51 (_ @t5 @t86)))) % 0.23/0.49 (assume @p50 (= tptp.upairsetIR @t89)) % 0.23/0.49 (assume @p51 (= tptp.emptyE1 (forall @t92 (=> @t91 (=> (= @t90 tptp.emptyset) false))))) % 0.23/0.49 (assume @p52 (= tptp.vacuousDall (forall (@list @t52 @t4) (=> @t10 @t53)))) % 0.23/0.49 (assume @p53 (= tptp.quantDeMorgan1 @t96)) % 0.23/0.49 (assume @p54 (= tptp.quantDeMorgan2 (forall @t92 (=> @t98 @t97)))) % 0.23/0.49 (assume @p55 (= tptp.quantDeMorgan3 @t99)) % 0.23/0.49 (assume @p56 (= tptp.quantDeMorgan4 (forall @t92 (=> @t94 @t95)))) % 0.23/0.49 (assume @p57 (= tptp.prop2setI (forall @t68 (=> @t66 (_ @t31 @t67))))) % 0.23/0.49 (assume @p58 (= tptp.prop2set2propI (forall @t68 (=> @t66 (_ tptp.set2prop @t67))))) % 0.23/0.49 (assume @p59 (= tptp.notdexE @t99)) % 0.23/0.49 (assume @p60 (= tptp.notdallE @t96)) % 0.23/0.49 (assume @p61 (= tptp.exuI1 (forall @t57 (=> @t65 @t56)))) % 0.23/0.49 (assume @p62 (= tptp.exuI3 (forall @t57 (=> @t69 (=> @t101 @t56))))) % 0.23/0.49 (assume @p63 (= tptp.exuI2 (forall @t57 (=> @t79 @t56)))) % 0.23/0.49 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t51 (=> @t50 (=> @t7 @t102))))))) % 0.23/0.49 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t51 (=> @t50 (= @t7 @t102))))))) % 0.23/0.49 (assume @p66 (= tptp.exuE3u @t103)) % 0.23/0.49 (assume @p67 (= tptp.exu__Cong (forall @t109 (=> @t108 (= @t56 @t106))))) % 0.23/0.49 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.23/0.49 (assume @p69 (= tptp.setadjoin__Cong (forall @t51 (=> @t50 (forall @t112 (=> @t111 (= (_ @t17 @t85) (_ @t80 @t110)))))))) % 0.23/0.49 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t113))))) % 0.23/0.49 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.23/0.49 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.23/0.49 (assume @p73 (= tptp.exuEu @t103)) % 0.23/0.49 (assume @p74 (= tptp.descr__Cong (forall @t109 (=> @t108 (=> @t56 (=> @t106 (= @t55 (_ tptp.descr @t105)))))))) % 0.23/0.49 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t109 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t102 @t107)))) (= @t90 (_ @t114 @t105)))))))) % 0.23/0.49 (assume @p76 (= tptp.subsetI1 @t117)) % 0.23/0.49 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t119)))) % 0.23/0.49 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t116)))) % 0.23/0.49 (assume @p79 (= tptp.subsetI2 @t117)) % 0.23/0.49 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.23/0.49 (assume @p81 (= tptp.subsetE (forall @t77 (=> @t116 @t70)))) % 0.23/0.49 (assume @p82 (= tptp.subsetE2 (forall @t77 (=> @t116 @t121)))) % 0.23/0.49 (assume @p83 (= tptp.notsubsetI (forall @t77 (=> @t7 (=> @t120 @t122))))) % 0.23/0.49 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t122 @t123)))) % 0.23/0.49 (assume @p85 (= tptp.notequalI2 (forall @t77 (=> @t7 (=> @t120 @t123))))) % 0.23/0.49 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t115 @t2)))) % 0.23/0.49 (assume @p87 (= tptp.subsetTrans (forall @t124 (=> @t116 (=> (_ @t118 @t42) (_ @t115 @t42)))))) % 0.23/0.49 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t115 @t18)))) % 0.23/0.49 (assume @p89 (= tptp.setadjoinSub2 (forall @t78 (=> @t116 (_ @t115 (_ @t17 @t1)))))) % 0.23/0.49 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t116 (_ @t125 @t113))))) % 0.23/0.49 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t116 (=> @t119 @t3))))) % 0.23/0.49 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t115 tptp.emptyset) @t72)))) % 0.23/0.49 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t119 @t25)))) % 0.23/0.49 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t119)))) % 0.23/0.49 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t125 @t23)))) % 0.23/0.49 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t116 (_ (_ tptp.subset @t23) @t113))))) % 0.23/0.49 (assume @p97 (= tptp.sepInPowerset (forall @t92 (_ (_ tptp.in @t90) @t23)))) % 0.23/0.49 (assume @p98 (= tptp.sepSubset (forall @t92 (_ (_ tptp.subset @t90) @t2)))) % 0.23/0.49 (assume @p99 (= tptp.binunionIL (forall @t77 (=> @t7 @t127)))) % 0.23/0.49 (assume @p100 (= tptp.upairset2IR @t89)) % 0.23/0.49 (assume @p101 (= tptp.binunionIR (forall @t77 (=> @t6 @t127)))) % 0.23/0.49 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t66) (=> @t127 (=> (=> @t7 @t66) (=> @t128 @t66)))))) % 0.23/0.49 (assume @p103 (= tptp.binunionE (forall @t77 (=> @t127 (or @t7 @t6))))) % 0.23/0.49 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t115 @t126)))) % 0.23/0.49 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t118 @t126)))) % 0.23/0.49 (assume @p106 (= tptp.binintersectI (forall @t77 (=> @t7 (=> @t6 @t131))))) % 0.23/0.49 (assume @p107 (= tptp.binintersectSubset5 (forall @t124 (=> (_ @t132 @t2) (=> (_ @t132 @t1) (_ @t132 @t130)))))) % 0.23/0.49 (assume @p108 (= tptp.binintersectEL (forall @t77 (=> @t131 @t7)))) % 0.23/0.49 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t133 @t2)))) % 0.23/0.49 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t116 @t134)))) % 0.23/0.49 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t135 @t119)))) % 0.23/0.49 (assume @p112 (= tptp.binintersectER (forall @t77 (=> @t131 @t6)))) % 0.23/0.49 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t130 tptp.emptyset))))) % 0.23/0.49 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t133 @t1)))) % 0.23/0.49 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t119 @t135)))) % 0.23/0.49 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t134 @t116)))) % 0.23/0.49 (assume @p117 (= tptp.bs114d (forall @t124 (= (_ @t129 (_ (_ tptp.binunion @t1) @t42)) (_ (_ tptp.binunion @t130) (_ @t129 @t42)))))) % 0.23/0.49 (assume @p118 (= tptp.setminusI (forall @t77 (=> @t7 (=> @t120 @t137))))) % 0.23/0.49 (assume @p119 (= tptp.setminusEL (forall @t77 (=> @t137 @t7)))) % 0.23/0.49 (assume @p120 (= tptp.setminusER (forall @t77 (=> @t137 @t120)))) % 0.23/0.49 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t116 @t138)))) % 0.23/0.49 (assume @p122 (= tptp.setminusERneg (forall @t77 (=> @t139 @t70)))) % 0.23/0.49 (assume @p123 (= tptp.setminusELneg (forall @t77 (=> @t139 @t121)))) % 0.23/0.49 (assume @p124 (= tptp.setminusILneg (forall @t77 (=> @t73 @t139)))) % 0.23/0.49 (assume @p125 (= tptp.setminusIRneg (forall @t77 (=> @t6 @t139)))) % 0.23/0.49 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t136) @t2)))) % 0.23/0.49 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t138 @t116)))) % 0.23/0.49 (assume @p128 (= tptp.symdiffE (forall @t77 (=> @t140 (forall @t68 (=> (=> @t7 (=> @t120 @t66)) (=> (=> @t73 @t128) @t66))))))) % 0.23/0.49 (assume @p129 (= tptp.symdiffI1 (forall @t77 (=> @t7 (=> @t120 @t140))))) % 0.23/0.49 (assume @p130 (= tptp.symdiffI2 (forall @t77 (=> @t73 (=> @t6 @t140))))) % 0.23/0.49 (assume @p131 (= tptp.symdiffIneg1 (forall @t77 (=> @t7 (=> @t6 @t141))))) % 0.23/0.49 (assume @p132 (= tptp.symdiffIneg2 (forall @t77 (=> @t73 (=> @t120 @t141))))) % 0.23/0.49 (assume @p133 (= tptp.secondinupair @t89)) % 0.23/0.49 (assume @p134 (= tptp.setukpairIL (forall @t51 (_ @t5 @t144)))) % 0.23/0.49 (assume @p135 (= tptp.setukpairIR (forall @t51 (_ @t13 @t144)))) % 0.23/0.49 (assume @p136 (= tptp.kpairiskpair (forall @t51 (_ tptp.iskpair @t143)))) % 0.23/0.49 (assume @p137 (= tptp.kpairp (forall @t51 (_ tptp.iskpair @t146)))) % 0.23/0.49 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t83) @t2))))) % 0.23/0.49 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t147 @t23))))) % 0.23/0.49 (assume @p140 (= tptp.singletoninpowunion (forall @t77 (=> @t7 (_ @t147 @t148))))) % 0.23/0.49 (assume @p141 (= tptp.upairset2E @t88)) % 0.23/0.49 (assume @p142 (= tptp.upairsubunion (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.subset @t86) @t126))))))) % 0.23/0.49 (assume @p143 (= tptp.upairinpowunion (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.in @t86) @t148))))))) % 0.23/0.49 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.subset @t143) @t148))))))) % 0.23/0.49 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.in @t143) @t149))))))) % 0.23/0.49 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ @t150 @t149))))))) % 0.23/0.49 (assume @p147 (= tptp.cartprodpairin (forall @t77 (=> @t7 (forall @t36 (=> @t102 @t152)))))) % 0.23/0.49 (assume @p148 (= tptp.cartprodmempair1 (forall @t154 (=> @t153 (exists @t8 (and @t7 (exists @t36 (and @t102 (= @t110 @t146))))))))) % 0.23/0.49 (assume @p149 (= tptp.cartprodmempair (forall @t154 (=> @t153 @t155)))) % 0.23/0.49 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t157 (and (_ (_ tptp.in @t156) @t2) (_ @t5 @t156))))))) % 0.23/0.49 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t158) @t2)))) % 0.23/0.49 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t115 @t158)))) % 0.23/0.49 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t83) @t4)))) % 0.23/0.49 (assume @p154 (= tptp.singletonprop (forall @t92 (=> @t160 (=> @t91 @t159))))) % 0.23/0.49 (assume @p155 (= tptp.ex1E1 (forall @t92 (=> @t162 @t91)))) % 0.23/0.49 (assume @p156 (= tptp.ex1I (forall @t63 (=> @t7 (=> @t53 (=> (forall @t36 (=> @t14 (=> @t58 @t15))) (_ @t161 @t59))))))) % 0.23/0.49 (assume @p157 (= tptp.ex1I2 (forall @t92 (=> @t160 (=> @t91 @t162))))) % 0.23/0.49 (assume @p158 (= tptp.singletonsuniq (forall @t51 (=> (= @t83 @t81) @t50)))) % 0.23/0.49 (assume @p159 (= tptp.setukpairinjL1 (forall @t87 (=> (_ (_ tptp.in @t165) @t143) @t163)))) % 0.23/0.49 (assume @p160 (= tptp.kfstsingleton (forall @t167 (=> @t155 (_ tptp.singleton (_ @t166 (lambda @t8 (_ @t147 @t110)))))))) % 0.23/0.49 (assume @p161 (= tptp.theprop (forall @t157 (=> (_ tptp.singleton @t156) (_ (_ tptp.in (_ tptp.setunion @t156)) @t156))))) % 0.23/0.49 (assume @p162 (= tptp.kfstpairEq (forall @t51 @t168))) % 0.23/0.49 (assume @p163 (= tptp.cartprodfstin (forall @t154 (=> @t153 (_ (_ tptp.in @t169) @t2))))) % 0.23/0.49 (assume @p164 (= tptp.setukpairinjL2 (forall @t171 (=> @t170 @t163)))) % 0.23/0.49 (assume @p165 (= tptp.setukpairinjL (forall @t171 (=> @t172 @t163)))) % 0.23/0.49 (assume @p166 (= tptp.setukpairinjR11 (forall @t51 (=> @t50 (= @t86 @t83))))) % 0.23/0.49 (assume @p167 (= tptp.setukpairinjR12 (forall @t51 (=> @t50 (= @t143 (_ @t142 tptp.emptyset)))))) % 0.23/0.49 (assume @p168 (= tptp.setukpairinjR1 (forall @t171 (=> @t170 (=> @t111 @t173))))) % 0.23/0.49 (assume @p169 (= tptp.upairequniteq (forall @t87 (=> (= @t86 @t165) @t50)))) % 0.23/0.49 (assume @p170 (= tptp.setukpairinjR2 (forall @t171 (=> @t170 @t173)))) % 0.23/0.49 (assume @p171 (= tptp.setukpairinjR (forall @t171 (=> @t172 @t173)))) % 0.23/0.49 (assume @p172 (= tptp.ksndsingleton (forall @t167 (=> @t155 (_ tptp.singleton (_ @t166 (lambda @t8 (= @t110 (_ @t174 @t4))))))))) % 0.23/0.49 (assume @p173 (= tptp.ksndpairEq (forall @t51 @t175))) % 0.23/0.49 (assume @p174 (= tptp.kpairsurjEq (forall @t167 (=> @t155 @t177)))) % 0.23/0.49 (assume @p175 (= tptp.cartprodsndin (forall @t154 (=> @t153 (_ (_ tptp.in @t176) @t1))))) % 0.23/0.49 (assume @p176 (= tptp.cartprodpairmemEL (forall @t178 (=> @t152 @t7)))) % 0.23/0.49 (assume @p177 (= tptp.cartprodpairmemER (forall @t178 (=> @t152 @t102)))) % 0.23/0.49 (assume @p178 (= tptp.cartprodmempaircEq (forall @t77 (=> @t7 (forall @t36 (=> @t102 (= @t146 @t146))))))) % 0.23/0.49 (assume @p179 (= tptp.cartprodfstpairEq (forall @t77 (=> @t7 (forall @t36 (=> @t102 @t168)))))) % 0.23/0.49 (assume @p180 (= tptp.cartprodsndpairEq (forall @t77 (=> @t7 (forall @t36 (=> @t102 @t175)))))) % 0.23/0.49 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t154 (=> @t153 @t177)))) % 0.23/0.49 (assume @p182 (= tptp.dpsetconstrI (forall @t181 (=> @t7 (forall @t36 (=> @t102 (=> @t37 @t180))))))) % 0.23/0.49 (assume @p183 (= tptp.dpsetconstrSub (forall @t183 (_ (_ tptp.subset @t182) @t151)))) % 0.23/0.49 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t183 (_ @t184 @t182)))) % 0.23/0.49 (assume @p185 (= tptp.dpsetconstrERa (forall @t181 (=> @t7 (forall @t36 (=> @t102 @t185)))))) % 0.23/0.49 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t186 (=> @t180 @t7)))) % 0.23/0.49 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t186 (=> @t180 @t102)))) % 0.23/0.49 (assume @p188 (= tptp.dpsetconstrER (forall @t186 @t185))) % 0.23/0.49 (assume @p189 (= tptp.funcImageSingleton (forall @t192 (=> @t191 (forall @t8 (=> @t7 (_ tptp.singleton @t189))))))) % 0.23/0.49 (assume @p190 (= tptp.apProp (forall @t192 (=> @t191 (forall @t8 (=> @t7 (_ (_ tptp.in (_ tptp.setunion @t189)) @t1))))))) % 0.23/0.49 (assume @p191 (= tptp.app (forall @t192 (=> @t191 @t195)))) % 0.23/0.49 (assume @p192 (= tptp.infuncsetfunc (forall @t192 (=> @t197 @t191)))) % 0.23/0.49 (assume @p193 (= tptp.ap2p (forall @t192 (=> @t197 @t195)))) % 0.23/0.49 (assume @p194 (= tptp.funcinfuncset (forall @t192 (=> @t191 @t197)))) % 0.23/0.49 (assume @p195 (= tptp.lamProp (forall @t202 (=> @t201 (_ @t190 @t200))))) % 0.23/0.49 (assume @p196 (= tptp.lamp (forall @t202 (=> @t201 (_ @t190 @t203))))) % 0.23/0.49 (assume @p197 (= tptp.lam2p (forall @t202 (=> @t201 (_ (_ tptp.in @t203) @t196))))) % 0.23/0.49 (assume @p198 (= tptp.brelnall1 @t208)) % 0.23/0.49 (assume @p199 (= tptp.brelnall2 @t208)) % 0.23/0.49 (assume @p200 (= tptp.ex1E2 (forall @t92 (=> @t162 @t160)))) % 0.23/0.49 (assume @p201 (= tptp.funcGraphProp1 (forall @t192 (=> @t191 @t209)))) % 0.23/0.49 (assume @p202 (= tptp.funcGraphProp3 (forall @t192 (=> @t197 @t209)))) % 0.23/0.49 (assume @p203 (= tptp.funcGraphProp2 (forall @t192 (=> @t191 @t210)))) % 0.23/0.49 (assume @p204 (= tptp.funcextLem (forall @t192 (=> @t191 (forall @t214 (=> @t213 (=> @t212 (forall @t8 (=> @t7 (forall @t36 (=> @t102 (=> (_ @t150 @t211) @t188)))))))))))) % 0.23/0.49 (assume @p205 (= tptp.funcGraphProp4 (forall @t192 (=> @t197 @t210)))) % 0.23/0.49 (assume @p206 (= tptp.subbreln (forall @t207 (=> @t206 (forall @t219 (=> @t218 (=> @t217 (_ (_ tptp.subset @t204) @t215)))))))) % 0.23/0.49 (assume @p207 (= tptp.eqbreln (forall @t207 (=> @t206 (forall @t219 (=> @t218 (=> @t217 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t102 (=> @t216 @t205))))) (= @t204 @t215))))))))) % 0.23/0.49 (assume @p208 (= tptp.funcext (forall @t192 (=> @t191 (forall @t214 (=> @t213 @t220)))))) % 0.23/0.49 (assume @p209 (= tptp.funcext2 (forall @t192 (=> @t197 (forall @t214 (=> (_ (_ tptp.in @t211) @t196) @t220)))))) % 0.23/0.49 (assume @p210 (= tptp.ap2apEq1 (forall @t192 (=> @t197 @t222)))) % 0.23/0.49 (assume @p211 @t435) % 0.23/0.49 (assume @p212 true) % 0.23/0.49 (step @p213 (= tptp.exu @t436) :rule refl :args (@t436)) % 0.23/0.49 (step @p214 (= tptp.nonempty @t437) :rule refl :args (@t437)) % 0.23/0.49 (step @p215 (= tptp.singleton @t438) :rule refl :args (@t438)) % 0.23/0.49 (step @p216 (= tptp.ex1 @t439) :rule refl :args (@t439)) % 0.23/0.49 (step @p217 (= tptp.breln @t440) :rule refl :args (@t440)) % 0.23/0.49 (step @p218 (= tptp.lam @t441) :rule refl :args (@t441)) % 0.23/0.49 (step @p219 :rule evaluate :args ((not true))) % 0.23/0.49 (step @p220 :rule bool-impl-true1 :args (tptp.setextAx)) % 0.23/0.49 (step @p221 :rule bool-impl-true1 :args (tptp.emptysetAx)) % 0.23/0.49 (step @p222 :rule bool-impl-true1 :args (tptp.setadjoinAx)) % 0.23/0.49 (step @p223 :rule bool-impl-true1 :args (tptp.powersetAx)) % 0.23/0.49 (step @p224 :rule bool-impl-true1 :args (tptp.setunionAx)) % 0.23/0.49 (step @p225 :rule bool-impl-true1 :args (tptp.omega0Ax)) % 0.23/0.49 (step @p226 :rule bool-impl-true1 :args (tptp.omegaSAx)) % 0.23/0.49 (step @p227 :rule bool-impl-true1 :args (tptp.omegaIndAx)) % 0.23/0.49 (step @p228 :rule bool-impl-true1 :args (tptp.replAx)) % 0.23/0.49 (step @p229 :rule bool-impl-true1 :args (tptp.foundationAx)) % 0.23/0.49 (step @p230 :rule bool-impl-true1 :args (tptp.wellorderingAx)) % 0.23/0.49 (step @p231 :rule bool-impl-true1 :args (tptp.descrp)) % 0.23/0.49 (step @p232 :rule bool-impl-true1 :args (tptp.dsetconstrI)) % 0.23/0.49 (step @p233 :rule bool-impl-true1 :args (tptp.dsetconstrEL)) % 0.23/0.49 (step @p234 :rule bool-impl-true1 :args (tptp.dsetconstrER)) % 0.23/0.49 (step @p235 :rule bool-impl-true1 :args (tptp.exuE1)) % 0.23/0.49 (step @p236 :rule bool-impl-true1 :args (tptp.prop2setE)) % 0.23/0.49 (step @p237 :rule bool-impl-true1 :args (tptp.emptysetE)) % 0.23/0.49 (step @p238 :rule bool-impl-true1 :args (tptp.emptysetimpfalse)) % 0.23/0.49 (step @p239 :rule bool-impl-true1 :args (tptp.notinemptyset)) % 0.23/0.49 (step @p240 :rule bool-impl-true1 :args (tptp.exuE3e)) % 0.23/0.49 (step @p241 :rule bool-impl-true1 :args (tptp.setext)) % 0.23/0.49 (step @p242 :rule bool-impl-true1 :args (tptp.emptyI)) % 0.23/0.49 (step @p243 :rule bool-impl-true1 :args (tptp.noeltsimpempty)) % 0.23/0.49 (step @p244 :rule bool-impl-true1 :args (tptp.setbeta)) % 0.23/0.49 (step @p245 :rule bool-impl-true1 :args (tptp.nonemptyE1)) % 0.23/0.49 (step @p246 :rule bool-impl-true1 :args (tptp.nonemptyI)) % 0.23/0.49 (step @p247 :rule bool-impl-true1 :args (tptp.nonemptyI1)) % 0.23/0.49 (step @p248 :rule bool-impl-true1 :args (tptp.setadjoinIL)) % 0.23/0.49 (step @p249 :rule bool-impl-true1 :args (tptp.emptyinunitempty)) % 0.23/0.49 (step @p250 :rule bool-impl-true1 :args (tptp.setadjoinIR)) % 0.23/0.49 (step @p251 :rule bool-impl-true1 :args (tptp.setadjoinE)) % 0.23/0.49 (step @p252 :rule bool-impl-true1 :args (tptp.setadjoinOr)) % 0.23/0.49 (step @p253 :rule bool-impl-true1 :args (tptp.setoftrueEq)) % 0.23/0.49 (step @p254 :rule bool-impl-true1 :args (tptp.powersetI)) % 0.23/0.49 (step @p255 :rule bool-impl-true1 :args (tptp.emptyinPowerset)) % 0.23/0.49 (step @p256 :rule bool-impl-true1 :args (tptp.emptyInPowerset)) % 0.23/0.49 (step @p257 :rule bool-impl-true1 :args (tptp.powersetE)) % 0.23/0.49 (step @p258 :rule bool-impl-true1 :args (tptp.setunionI)) % 0.23/0.49 (step @p259 :rule bool-impl-true1 :args (tptp.setunionE)) % 0.23/0.49 (step @p260 :rule bool-impl-true1 :args (tptp.subPowSU)) % 0.23/0.49 (step @p261 :rule bool-impl-true1 :args (tptp.exuE2)) % 0.23/0.49 (step @p262 :rule bool-impl-true1 :args (tptp.nonemptyImpWitness)) % 0.23/0.49 (step @p263 :rule bool-impl-true1 :args (tptp.uniqinunit)) % 0.23/0.49 (step @p264 :rule bool-impl-true1 :args (tptp.notinsingleton)) % 0.23/0.49 (step @p265 :rule bool-impl-true1 :args (tptp.eqinunit)) % 0.23/0.49 (step @p266 :rule bool-impl-true1 :args (tptp.singletonsswitch)) % 0.23/0.49 (step @p267 :rule bool-impl-true1 :args (tptp.upairsetE)) % 0.23/0.49 (step @p268 :rule bool-impl-true1 :args (tptp.upairsetIL)) % 0.23/0.49 (step @p269 :rule bool-impl-true1 :args (tptp.upairsetIR)) % 0.23/0.49 (step @p270 :rule bool-impl-true1 :args (tptp.emptyE1)) % 0.23/0.49 (step @p271 :rule bool-impl-true1 :args (tptp.vacuousDall)) % 0.23/0.49 (step @p272 :rule bool-impl-true1 :args (tptp.quantDeMorgan1)) % 0.23/0.49 (step @p273 :rule bool-impl-true1 :args (tptp.quantDeMorgan2)) % 0.23/0.49 (step @p274 :rule bool-impl-true1 :args (tptp.quantDeMorgan3)) % 0.23/0.49 (step @p275 :rule bool-impl-true1 :args (tptp.quantDeMorgan4)) % 0.23/0.49 (step @p276 :rule bool-impl-true1 :args (tptp.prop2setI)) % 0.23/0.49 (step @p277 :rule bool-impl-true1 :args (tptp.prop2set2propI)) % 0.23/0.49 (step @p278 :rule bool-impl-true1 :args (tptp.notdexE)) % 0.23/0.49 (step @p279 :rule bool-impl-true1 :args (tptp.notdallE)) % 0.23/0.49 (step @p280 :rule bool-impl-true1 :args (tptp.exuI1)) % 0.23/0.49 (step @p281 :rule bool-impl-true1 :args (tptp.exuI3)) % 0.23/0.49 (step @p282 :rule bool-impl-true1 :args (tptp.exuI2)) % 0.23/0.49 (step @p283 :rule bool-impl-true1 :args (tptp.inCongP)) % 0.23/0.49 (step @p284 :rule bool-impl-true1 :args (tptp.in__Cong)) % 0.23/0.49 (step @p285 :rule bool-impl-true1 :args (tptp.exuE3u)) % 0.23/0.49 (step @p286 :rule bool-impl-true1 :args (tptp.exu__Cong)) % 0.23/0.49 (step @p287 :rule bool-impl-true1 :args (tptp.emptyset__Cong)) % 0.23/0.49 (step @p288 :rule bool-impl-true1 :args (tptp.setadjoin__Cong)) % 0.23/0.49 (step @p289 :rule bool-impl-true1 :args (tptp.powerset__Cong)) % 0.23/0.49 (step @p290 :rule bool-impl-true1 :args (tptp.setunion__Cong)) % 0.23/0.49 (step @p291 :rule bool-impl-true1 :args (tptp.omega__Cong)) % 0.23/0.49 (step @p292 :rule bool-impl-true1 :args (tptp.exuEu)) % 0.23/0.49 (step @p293 :rule bool-impl-true1 :args (tptp.descr__Cong)) % 0.23/0.49 (step @p294 :rule bool-impl-true1 :args (tptp.dsetconstr__Cong)) % 0.23/0.49 (step @p295 :rule bool-impl-true1 :args (tptp.subsetI1)) % 0.23/0.49 (step @p296 :rule bool-impl-true1 :args (tptp.eqimpsubset2)) % 0.23/0.49 (step @p297 :rule bool-impl-true1 :args (tptp.eqimpsubset1)) % 0.23/0.49 (step @p298 :rule bool-impl-true1 :args (tptp.subsetI2)) % 0.23/0.49 (step @p299 :rule bool-impl-true1 :args (tptp.emptysetsubset)) % 0.23/0.49 (step @p300 :rule bool-impl-true1 :args (tptp.subsetE)) % 0.23/0.49 (step @p301 :rule bool-impl-true1 :args (tptp.subsetE2)) % 0.23/0.49 (step @p302 :rule bool-impl-true1 :args (tptp.notsubsetI)) % 0.23/0.49 (step @p303 :rule bool-impl-true1 :args (tptp.notequalI1)) % 0.23/0.49 (step @p304 :rule bool-impl-true1 :args (tptp.notequalI2)) % 0.23/0.49 (step @p305 :rule bool-impl-true1 :args (tptp.subsetRefl)) % 0.23/0.49 (step @p306 :rule bool-impl-true1 :args (tptp.subsetTrans)) % 0.23/0.49 (step @p307 :rule bool-impl-true1 :args (tptp.setadjoinSub)) % 0.23/0.49 (step @p308 :rule bool-impl-true1 :args (tptp.setadjoinSub2)) % 0.23/0.49 (step @p309 :rule bool-impl-true1 :args (tptp.subset2powerset)) % 0.23/0.49 (step @p310 :rule bool-impl-true1 :args (tptp.setextsub)) % 0.23/0.49 (step @p311 :rule bool-impl-true1 :args (tptp.subsetemptysetimpeq)) % 0.23/0.49 (step @p312 :rule bool-impl-true1 :args (tptp.powersetI1)) % 0.23/0.49 (step @p313 :rule bool-impl-true1 :args (tptp.powersetE1)) % 0.23/0.49 (step @p314 :rule bool-impl-true1 :args (tptp.inPowerset)) % 0.23/0.49 (step @p315 :rule bool-impl-true1 :args (tptp.powersetsubset)) % 0.23/0.49 (step @p316 :rule bool-impl-true1 :args (tptp.sepInPowerset)) % 0.23/0.49 (step @p317 :rule bool-impl-true1 :args (tptp.sepSubset)) % 0.23/0.49 (step @p318 :rule bool-impl-true1 :args (tptp.binunionIL)) % 0.23/0.49 (step @p319 :rule bool-impl-true1 :args (tptp.upairset2IR)) % 0.23/0.49 (step @p320 :rule bool-impl-true1 :args (tptp.binunionIR)) % 0.23/0.49 (step @p321 :rule bool-impl-true1 :args (tptp.binunionEcases)) % 0.23/0.49 (step @p322 :rule bool-impl-true1 :args (tptp.binunionE)) % 0.23/0.49 (step @p323 :rule bool-impl-true1 :args (tptp.binunionLsub)) % 0.23/0.49 (step @p324 :rule bool-impl-true1 :args (tptp.binunionRsub)) % 0.23/0.49 (step @p325 :rule bool-impl-true1 :args (tptp.binintersectI)) % 0.23/0.49 (step @p326 :rule bool-impl-true1 :args (tptp.binintersectSubset5)) % 0.23/0.49 (step @p327 :rule bool-impl-true1 :args (tptp.binintersectEL)) % 0.23/0.49 (step @p328 :rule bool-impl-true1 :args (tptp.binintersectLsub)) % 0.23/0.49 (step @p329 :rule bool-impl-true1 :args (tptp.binintersectSubset2)) % 0.23/0.49 (step @p330 :rule bool-impl-true1 :args (tptp.binintersectSubset3)) % 0.23/0.49 (step @p331 :rule bool-impl-true1 :args (tptp.binintersectER)) % 0.23/0.49 (step @p332 :rule bool-impl-true1 :args (tptp.disjointsetsI1)) % 0.23/0.49 (step @p333 :rule bool-impl-true1 :args (tptp.binintersectRsub)) % 0.23/0.49 (step @p334 :rule bool-impl-true1 :args (tptp.binintersectSubset4)) % 0.23/0.49 (step @p335 :rule bool-impl-true1 :args (tptp.binintersectSubset1)) % 0.23/0.49 (step @p336 :rule bool-impl-true1 :args (tptp.bs114d)) % 0.23/0.49 (step @p337 :rule bool-impl-true1 :args (tptp.setminusI)) % 0.23/0.49 (step @p338 :rule bool-impl-true1 :args (tptp.setminusEL)) % 0.23/0.49 (step @p339 :rule bool-impl-true1 :args (tptp.setminusER)) % 0.23/0.49 (step @p340 :rule bool-impl-true1 :args (tptp.setminusSubset2)) % 0.23/0.49 (step @p341 :rule bool-impl-true1 :args (tptp.setminusERneg)) % 0.23/0.49 (step @p342 :rule bool-impl-true1 :args (tptp.setminusELneg)) % 0.23/0.49 (step @p343 :rule bool-impl-true1 :args (tptp.setminusILneg)) % 0.23/0.49 (step @p344 :rule bool-impl-true1 :args (tptp.setminusIRneg)) % 0.23/0.49 (step @p345 :rule bool-impl-true1 :args (tptp.setminusLsub)) % 0.23/0.49 (step @p346 :rule bool-impl-true1 :args (tptp.setminusSubset1)) % 0.23/0.49 (step @p347 :rule bool-impl-true1 :args (tptp.symdiffE)) % 0.23/0.49 (step @p348 :rule bool-impl-true1 :args (tptp.symdiffI1)) % 0.23/0.49 (step @p349 :rule bool-impl-true1 :args (tptp.symdiffI2)) % 0.23/0.49 (step @p350 :rule bool-impl-true1 :args (tptp.symdiffIneg1)) % 0.23/0.49 (step @p351 :rule bool-impl-true1 :args (tptp.symdiffIneg2)) % 0.23/0.49 (step @p352 :rule bool-impl-true1 :args (tptp.secondinupair)) % 0.23/0.49 (step @p353 :rule bool-impl-true1 :args (tptp.setukpairIL)) % 0.23/0.49 (step @p354 :rule bool-impl-true1 :args (tptp.setukpairIR)) % 0.23/0.49 (step @p355 :rule bool-impl-true1 :args (tptp.kpairiskpair)) % 0.23/0.49 (step @p356 :rule bool-impl-true1 :args (tptp.kpairp)) % 0.23/0.49 (step @p357 :rule bool-impl-true1 :args (tptp.singletonsubset)) % 0.23/0.49 (step @p358 :rule bool-impl-true1 :args (tptp.singletoninpowerset)) % 0.23/0.49 (step @p359 :rule bool-impl-true1 :args (tptp.singletoninpowunion)) % 0.23/0.49 (step @p360 :rule bool-impl-true1 :args (tptp.upairset2E)) % 0.23/0.49 (step @p361 :rule bool-impl-true1 :args (tptp.upairsubunion)) % 0.23/0.49 (step @p362 :rule bool-impl-true1 :args (tptp.upairinpowunion)) % 0.23/0.49 (step @p363 :rule bool-impl-true1 :args (tptp.ubforcartprodlem1)) % 0.23/0.49 (step @p364 :rule bool-impl-true1 :args (tptp.ubforcartprodlem2)) % 0.23/0.49 (step @p365 :rule bool-impl-true1 :args (tptp.ubforcartprodlem3)) % 0.23/0.49 (step @p366 :rule bool-impl-true1 :args (tptp.cartprodpairin)) % 0.23/0.49 (step @p367 :rule bool-impl-true1 :args (tptp.cartprodmempair1)) % 0.23/0.49 (step @p368 :rule bool-impl-true1 :args (tptp.cartprodmempair)) % 0.23/0.49 (step @p369 :rule bool-impl-true1 :args (tptp.setunionE2)) % 0.23/0.49 (step @p370 :rule bool-impl-true1 :args (tptp.setunionsingleton1)) % 0.23/0.49 (step @p371 :rule bool-impl-true1 :args (tptp.setunionsingleton2)) % 0.23/0.49 (step @p372 :rule bool-impl-true1 :args (tptp.setunionsingleton)) % 0.23/0.49 (step @p373 :rule bool-impl-true1 :args (tptp.singletonprop)) % 0.23/0.49 (step @p374 :rule bool-impl-true1 :args (tptp.ex1E1)) % 0.23/0.49 (step @p375 :rule bool-impl-true1 :args (tptp.ex1I)) % 0.23/0.49 (step @p376 :rule bool-impl-true1 :args (tptp.ex1I2)) % 0.23/0.49 (step @p377 :rule bool-impl-true1 :args (tptp.singletonsuniq)) % 0.23/0.49 (step @p378 :rule bool-impl-true1 :args (tptp.setukpairinjL1)) % 0.23/0.49 (step @p379 :rule bool-impl-true1 :args (tptp.kfstsingleton)) % 0.23/0.49 (step @p380 :rule bool-impl-true1 :args (tptp.theprop)) % 0.23/0.49 (step @p381 :rule bool-impl-true1 :args (tptp.kfstpairEq)) % 0.23/0.49 (step @p382 :rule bool-impl-true1 :args (tptp.cartprodfstin)) % 0.23/0.49 (step @p383 :rule bool-impl-true1 :args (tptp.setukpairinjL2)) % 0.23/0.49 (step @p384 :rule bool-impl-true1 :args (tptp.setukpairinjL)) % 0.23/0.49 (step @p385 :rule bool-impl-true1 :args (tptp.setukpairinjR11)) % 0.23/0.49 (step @p386 :rule bool-impl-true1 :args (tptp.setukpairinjR12)) % 0.23/0.49 (step @p387 :rule bool-impl-true1 :args (tptp.setukpairinjR1)) % 0.23/0.49 (step @p388 :rule bool-impl-true1 :args (tptp.upairequniteq)) % 0.23/0.49 (step @p389 :rule bool-impl-true1 :args (tptp.setukpairinjR2)) % 0.23/0.49 (step @p390 :rule bool-impl-true1 :args (tptp.setukpairinjR)) % 0.23/0.49 (step @p391 :rule bool-impl-true1 :args (tptp.ksndsingleton)) % 0.23/0.49 (step @p392 :rule bool-impl-true1 :args (tptp.ksndpairEq)) % 0.23/0.49 (step @p393 :rule bool-impl-true1 :args (tptp.kpairsurjEq)) % 0.23/0.49 (step @p394 :rule bool-impl-true1 :args (tptp.cartprodsndin)) % 0.23/0.49 (step @p395 :rule bool-impl-true1 :args (tptp.cartprodpairmemEL)) % 0.23/0.49 (step @p396 :rule bool-impl-true1 :args (tptp.cartprodpairmemER)) % 0.23/0.49 (step @p397 :rule bool-impl-true1 :args (tptp.cartprodmempaircEq)) % 0.23/0.49 (step @p398 :rule bool-impl-true1 :args (tptp.cartprodfstpairEq)) % 0.23/0.49 (step @p399 :rule bool-impl-true1 :args (tptp.cartprodsndpairEq)) % 0.23/0.49 (step @p400 :rule bool-impl-true1 :args (tptp.cartprodpairsurjEq)) % 0.23/0.49 (step @p401 :rule bool-impl-true1 :args (tptp.dpsetconstrI)) % 0.23/0.49 (step @p402 :rule bool-impl-true1 :args (tptp.dpsetconstrSub)) % 0.23/0.49 (step @p403 :rule bool-impl-true1 :args (tptp.setOfPairsIsBReln)) % 0.23/0.49 (step @p404 :rule bool-impl-true1 :args (tptp.dpsetconstrERa)) % 0.23/0.49 (step @p405 :rule bool-impl-true1 :args (tptp.dpsetconstrEL1)) % 0.23/0.49 (step @p406 :rule bool-impl-true1 :args (tptp.dpsetconstrEL2)) % 0.23/0.49 (step @p407 :rule bool-impl-true1 :args (tptp.dpsetconstrER)) % 0.23/0.49 (step @p408 :rule bool-impl-true1 :args (tptp.funcImageSingleton)) % 0.23/0.49 (step @p409 :rule bool-impl-true1 :args (tptp.apProp)) % 0.23/0.49 (step @p410 :rule bool-impl-true1 :args (tptp.app)) % 0.23/0.49 (step @p411 :rule bool-impl-true1 :args (tptp.infuncsetfunc)) % 0.23/0.49 (step @p412 :rule bool-impl-true1 :args (tptp.ap2p)) % 0.23/0.49 (step @p413 :rule bool-impl-true1 :args (tptp.funcinfuncset)) % 0.23/0.49 (step @p414 :rule bool-impl-true1 :args (tptp.lamProp)) % 0.23/0.49 (step @p415 :rule bool-impl-true1 :args (tptp.lamp)) % 0.23/0.49 (step @p416 :rule bool-impl-true1 :args (tptp.lam2p)) % 0.23/0.49 (step @p417 :rule 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(@p1022 @p237)) % 0.23/0.49 (step @p1024 :rule refl :args (tptp.prop2setE)) % 0.23/0.49 (step @p1025 :rule cong :premises (@p1024 @p1023) :args (@t418)) % 0.23/0.49 (step @p1026 :rule trans :premises (@p1025 @p236)) % 0.23/0.49 (step @p1027 :rule refl :args (tptp.exuE1)) % 0.23/0.49 (step @p1028 :rule cong :premises (@p1027 @p1026) :args (@t419)) % 0.23/0.49 (step @p1029 :rule trans :premises (@p1028 @p235)) % 0.23/0.49 (step @p1030 :rule refl :args (tptp.dsetconstrER)) % 0.23/0.49 (step @p1031 :rule cong :premises (@p1030 @p1029) :args (@t420)) % 0.23/0.49 (step @p1032 :rule trans :premises (@p1031 @p234)) % 0.23/0.49 (step @p1033 :rule refl :args (tptp.dsetconstrEL)) % 0.23/0.49 (step @p1034 :rule cong :premises (@p1033 @p1032) :args (@t421)) % 0.23/0.49 (step @p1035 :rule trans :premises (@p1034 @p233)) % 0.23/0.49 (step @p1036 :rule refl :args (tptp.dsetconstrI)) % 0.23/0.49 (step @p1037 :rule cong :premises (@p1036 @p1035) :args (@t422)) % 0.23/0.49 (step @p1038 :rule trans :premises (@p1037 @p232)) % 0.23/0.49 (step @p1039 :rule refl :args (tptp.descrp)) % 0.23/0.49 (step @p1040 :rule cong :premises (@p1039 @p1038) :args (@t423)) % 0.23/0.49 (step @p1041 :rule trans :premises (@p1040 @p231)) % 0.23/0.49 (step @p1042 :rule refl :args (tptp.wellorderingAx)) % 0.23/0.49 (step @p1043 :rule cong :premises (@p1042 @p1041) :args (@t424)) % 0.23/0.49 (step @p1044 :rule trans :premises (@p1043 @p230)) % 0.23/0.49 (step @p1045 :rule refl :args (tptp.foundationAx)) % 0.23/0.49 (step @p1046 :rule cong :premises (@p1045 @p1044) :args (@t425)) % 0.23/0.49 (step @p1047 :rule trans :premises (@p1046 @p229)) % 0.23/0.49 (step @p1048 :rule refl :args (tptp.replAx)) % 0.23/0.49 (step @p1049 :rule cong :premises (@p1048 @p1047) :args (@t426)) % 0.23/0.49 (step @p1050 :rule trans :premises (@p1049 @p228)) % 0.23/0.49 (step @p1051 :rule refl :args (tptp.omegaIndAx)) % 0.23/0.49 (step @p1052 :rule cong :premises (@p1051 @p1050) :args (@t427)) % 0.23/0.49 (step @p1053 :rule trans :premises (@p1052 @p227)) % 0.23/0.49 (step @p1054 :rule refl :args (tptp.omegaSAx)) % 0.23/0.49 (step @p1055 :rule cong :premises (@p1054 @p1053) :args (@t428)) % 0.23/0.49 (step @p1056 :rule trans :premises (@p1055 @p226)) % 0.23/0.49 (step @p1057 :rule refl :args (tptp.omega0Ax)) % 0.23/0.49 (step @p1058 :rule cong :premises (@p1057 @p1056) :args (@t429)) % 0.23/0.49 (step @p1059 :rule trans :premises (@p1058 @p225)) % 0.23/0.49 (step @p1060 :rule refl :args (tptp.setunionAx)) % 0.23/0.49 (step @p1061 :rule cong :premises (@p1060 @p1059) :args (@t430)) % 0.23/0.49 (step @p1062 :rule trans :premises (@p1061 @p224)) % 0.23/0.49 (step @p1063 :rule refl :args (tptp.powersetAx)) % 0.23/0.49 (step @p1064 :rule cong :premises (@p1063 @p1062) :args (@t431)) % 0.23/0.49 (step @p1065 :rule trans :premises (@p1064 @p223)) % 0.23/0.49 (step @p1066 :rule refl :args (tptp.setadjoinAx)) % 0.23/0.49 (step @p1067 :rule cong :premises (@p1066 @p1065) :args (@t432)) % 0.23/0.49 (step @p1068 :rule trans :premises (@p1067 @p222)) % 0.23/0.49 (step @p1069 :rule refl :args (tptp.emptysetAx)) % 0.23/0.49 (step @p1070 :rule cong :premises (@p1069 @p1068) :args (@t433)) % 0.23/0.49 (step @p1071 :rule trans :premises (@p1070 @p221)) % 0.23/0.49 (step @p1072 :rule refl :args (tptp.setextAx)) % 0.23/0.49 (step @p1073 :rule cong :premises (@p1072 @p1071) :args (@t434)) % 0.23/0.49 (step @p1074 :rule trans :premises (@p1073 @p220)) % 0.23/0.49 (step @p1075 :rule cong :premises (@p1074) :args (@t435)) % 0.23/0.49 (step @p1076 :rule trans :premises (@p1075 @p219)) % 0.23/0.49 (step @p1077 false :rule eq_resolve :premises (@p211 @p1076)) % 0.23/0.49 ) % 0.23/0.49 % SZS output end Proof % 0.23/0.49 % cvc5 exiting %------------------------------------------------------------------------------