%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU679^1 : 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 : n029.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 08:52:42 AM UTC 2026 % Result : Theorem 0.42s 0.77s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU679^1 : 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 : n029.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 17:46:02 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.57 %----Proving TH0 % 0.42/0.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.77 % SZS status Theorem % 0.42/0.77 % SZS output start Proof % 0.42/0.77 ( % 0.42/0.77 (declare-sort $$unsorted 0) % 0.42/0.77 (declare-const tptp.emptyset $$unsorted) % 0.42/0.77 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.42/0.77 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.42/0.77 (declare-const tptp.funcinfuncset Bool) % 0.42/0.77 (declare-const tptp.ap2p Bool) % 0.42/0.77 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.dpsetconstrER Bool) % 0.42/0.77 (declare-const tptp.dpsetconstrEL1 Bool) % 0.42/0.77 (declare-const tptp.dpsetconstrERa Bool) % 0.42/0.77 (declare-const tptp.setOfPairsIsBReln Bool) % 0.42/0.77 (declare-const tptp.dpsetconstrSub Bool) % 0.42/0.77 (declare-const tptp.dpsetconstrI Bool) % 0.42/0.77 (declare-const tptp.cartprodpairsurjEq Bool) % 0.42/0.77 (declare-const tptp.cartprodsndpairEq Bool) % 0.42/0.77 (declare-const tptp.cartprodfstpairEq Bool) % 0.42/0.77 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.setukpairinjR Bool) % 0.42/0.77 (declare-const tptp.app Bool) % 0.42/0.77 (declare-const tptp.setukpairinjR2 Bool) % 0.42/0.77 (declare-const tptp.upairequniteq Bool) % 0.42/0.77 (declare-const tptp.setukpairinjR11 Bool) % 0.42/0.77 (declare-const tptp.setukpairinjL Bool) % 0.42/0.77 (declare-const tptp.kfstpairEq Bool) % 0.42/0.77 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.kfstsingleton Bool) % 0.42/0.77 (declare-const tptp.setukpairinjL1 Bool) % 0.42/0.77 (declare-const tptp.setunionsingleton Bool) % 0.42/0.77 (declare-const tptp.kpairsurjEq Bool) % 0.42/0.77 (declare-const tptp.setunionE2 Bool) % 0.42/0.77 (declare-const tptp.ksndpairEq Bool) % 0.42/0.77 (declare-const tptp.cartprodmempair Bool) % 0.42/0.77 (declare-const tptp.ubforcartprodlem3 Bool) % 0.42/0.77 (declare-const tptp.ubforcartprodlem2 Bool) % 0.42/0.77 (declare-const tptp.upairsubunion Bool) % 0.42/0.77 (declare-const tptp.singletoninpowunion Bool) % 0.42/0.77 (declare-const tptp.singletoninpowerset Bool) % 0.42/0.77 (declare-const tptp.setukpairIR Bool) % 0.42/0.77 (declare-const tptp.secondinupair Bool) % 0.42/0.77 (declare-const tptp.symdiffIneg2 Bool) % 0.42/0.77 (declare-const tptp.ex1I Bool) % 0.42/0.77 (declare-const tptp.symdiffI2 Bool) % 0.42/0.77 (declare-const tptp.symdiffI1 Bool) % 0.42/0.77 (declare-const tptp.setminusIRneg Bool) % 0.42/0.77 (declare-const tptp.setminusILneg Bool) % 0.42/0.77 (declare-const tptp.setminusERneg Bool) % 0.42/0.77 (declare-const tptp.setminusI Bool) % 0.42/0.77 (declare-const tptp.ubforcartprodlem1 Bool) % 0.42/0.77 (declare-const tptp.quantDeMorgan1 Bool) % 0.42/0.77 (declare-const tptp.funcImageSingleton Bool) % 0.42/0.77 (declare-const tptp.sepSubset Bool) % 0.42/0.77 (declare-const tptp.setukpairinjL2 Bool) % 0.42/0.77 (declare-const tptp.emptyE1 Bool) % 0.42/0.77 (declare-const tptp.upairset2E Bool) % 0.42/0.77 (declare-const tptp.inPowerset Bool) % 0.42/0.77 (declare-const tptp.upairsetIR Bool) % 0.42/0.77 (declare-const tptp.setunion__Cong Bool) % 0.42/0.77 (declare-const tptp.cartprodfstin Bool) % 0.42/0.77 (declare-const tptp.powersetE1 Bool) % 0.42/0.77 (declare-const tptp.singletonsswitch Bool) % 0.42/0.77 (declare-const tptp.subset2powerset Bool) % 0.42/0.77 (declare-const tptp.notinsingleton Bool) % 0.42/0.77 (declare-const tptp.subPowSU Bool) % 0.42/0.77 (declare-const tptp.binintersectSubset5 Bool) % 0.42/0.77 (declare-const tptp.exuE1 Bool) % 0.42/0.77 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.setunionI Bool) % 0.42/0.77 (declare-const tptp.ksndsingleton Bool) % 0.42/0.77 (declare-const tptp.notdexE Bool) % 0.42/0.77 (declare-const tptp.powersetE Bool) % 0.42/0.77 (declare-const tptp.omegaSAx Bool) % 0.42/0.77 (declare-const tptp.setadjoinE Bool) % 0.42/0.77 (declare-const tptp.emptyinunitempty Bool) % 0.42/0.77 (declare-const tptp.setminusEL Bool) % 0.42/0.77 (declare-const tptp.descr__Cong Bool) % 0.42/0.77 (declare-const tptp.nonemptyI1 Bool) % 0.42/0.77 (declare-const tptp.emptysetAx Bool) % 0.42/0.77 (declare-const tptp.singletonprop Bool) % 0.42/0.77 (declare-const tptp.nonemptyI Bool) % 0.42/0.77 (declare-const tptp.upairsetIL Bool) % 0.42/0.77 (declare-const tptp.powersetI1 Bool) % 0.42/0.77 (declare-const tptp.kpairp Bool) % 0.42/0.77 (declare-const tptp.eqinunit Bool) % 0.42/0.77 (declare-const tptp.upairsetE Bool) % 0.42/0.77 (declare-const tptp.replAx Bool) % 0.42/0.77 (declare-const tptp.powersetI Bool) % 0.42/0.77 (declare-const tptp.quantDeMorgan4 Bool) % 0.42/0.77 (declare-const tptp.ex1E1 Bool) % 0.42/0.77 (declare-const tptp.setunionE Bool) % 0.42/0.77 (declare-const tptp.omegaIndAx Bool) % 0.42/0.77 (declare-const tptp.dpsetconstrEL2 Bool) % 0.42/0.77 (declare-const tptp.setunionAx Bool) % 0.42/0.77 (declare-const tptp.setoftrueEq Bool) % 0.42/0.77 (declare-const tptp.foundationAx Bool) % 0.42/0.77 (declare-const tptp.cartprodpairmemEL Bool) % 0.42/0.77 (declare-const tptp.emptysetimpfalse Bool) % 0.42/0.77 (declare-const tptp.setminusELneg Bool) % 0.42/0.77 (declare-const tptp.powersetAx Bool) % 0.42/0.77 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.emptyI Bool) % 0.42/0.77 (declare-const tptp.subsetemptysetimpeq Bool) % 0.42/0.77 (declare-const tptp.setminusER Bool) % 0.42/0.77 (declare-const tptp.setadjoinAx Bool) % 0.42/0.77 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.omega $$unsorted) % 0.42/0.77 (declare-const tptp.emptyInPowerset Bool) % 0.42/0.77 (declare-const tptp.eqimpsubset1 Bool) % 0.42/0.77 (declare-const tptp.cartprodpairin Bool) % 0.42/0.77 (declare-const tptp.binunionE Bool) % 0.42/0.77 (declare-const tptp.infuncsetfunc Bool) % 0.42/0.77 (declare-const tptp.dsetconstrER Bool) % 0.42/0.77 (declare-const tptp.notdallE Bool) % 0.42/0.77 (declare-const tptp.cartprodmempair1 Bool) % 0.42/0.77 (declare-const tptp.binunionRsub Bool) % 0.42/0.77 (declare-const tptp.exuE2 Bool) % 0.42/0.77 (declare-const tptp.setminusSubset2 Bool) % 0.42/0.77 (declare-const tptp.dsetconstr__Cong Bool) % 0.42/0.77 (declare-const tptp.setadjoinIR Bool) % 0.42/0.77 (declare-const tptp.notinemptyset Bool) % 0.42/0.77 (declare-const tptp.singletonsuniq Bool) % 0.42/0.77 (declare-const tptp.subsetRefl Bool) % 0.42/0.77 (declare-const tptp.uniqinunit Bool) % 0.42/0.77 (declare-const tptp.cartprodpairmemER Bool) % 0.42/0.77 (declare-const tptp.exuE3u Bool) % 0.42/0.77 (declare-const tptp.setukpairIL Bool) % 0.42/0.77 (declare-const tptp.subsetTrans Bool) % 0.42/0.77 (declare-const tptp.setadjoinOr Bool) % 0.42/0.77 (declare-const tptp.wellorderingAx Bool) % 0.42/0.77 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 0.42/0.77 (declare-const tptp.vacuousDall Bool) % 0.42/0.77 (declare-const tptp.upairinpowunion Bool) % 0.42/0.77 (declare-const tptp.sepInPowerset Bool) % 0.42/0.77 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.nonemptyImpWitness Bool) % 0.42/0.77 (declare-const tptp.binintersectLsub Bool) % 0.42/0.77 (declare-const tptp.setukpairinjR12 Bool) % 0.42/0.77 (declare-const tptp.upairset2IR Bool) % 0.42/0.77 (declare-const tptp.dsetconstrI Bool) % 0.42/0.77 (declare-const tptp.setminusSubset1 Bool) % 0.42/0.77 (declare-const tptp.emptyinPowerset Bool) % 0.42/0.77 (declare-const tptp.prop2setI Bool) % 0.42/0.77 (declare-const tptp.dsetconstrEL Bool) % 0.42/0.77 (declare-const tptp.prop2set2propI Bool) % 0.42/0.77 (declare-const tptp.binunionLsub Bool) % 0.42/0.77 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 0.42/0.77 (declare-const tptp.exuI2 Bool) % 0.42/0.77 (declare-const tptp.prop2setE Bool) % 0.42/0.77 (declare-const tptp.exuEu Bool) % 0.42/0.77 (declare-const tptp.setadjoinIL Bool) % 0.42/0.77 (declare-const tptp.omega__Cong Bool) % 0.42/0.77 (declare-const tptp.cartprodsndin Bool) % 0.42/0.77 (declare-const tptp.emptysetE Bool) % 0.42/0.77 (declare-const tptp.symdiffIneg1 Bool) % 0.42/0.77 (declare-const tptp.notequalI1 Bool) % 0.42/0.77 (declare-const tptp.noeltsimpempty Bool) % 0.42/0.77 (declare-const tptp.quantDeMorgan2 Bool) % 0.42/0.77 (declare-const tptp.subsetI1 Bool) % 0.42/0.77 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 0.42/0.77 (declare-const tptp.subsetE Bool) % 0.42/0.77 (declare-const tptp.exuI3 Bool) % 0.42/0.77 (declare-const tptp.subsetE2 Bool) % 0.42/0.77 (declare-const tptp.inCongP Bool) % 0.42/0.77 (declare-const tptp.setunionsingleton1 Bool) % 0.42/0.77 (declare-const tptp.in__Cong Bool) % 0.42/0.77 (declare-const tptp.cartprodmempaircEq Bool) % 0.42/0.77 (declare-const tptp.exu__Cong Bool) % 0.42/0.77 (declare-const tptp.setunionsingleton2 Bool) % 0.42/0.77 (declare-const tptp.exuE3e Bool) % 0.42/0.77 (declare-const tptp.binintersectSubset3 Bool) % 0.42/0.77 (declare-const tptp.setadjoin__Cong Bool) % 0.42/0.77 (declare-const tptp.emptyset__Cong Bool) % 0.42/0.77 (declare-const tptp.binintersectRsub Bool) % 0.42/0.77 (declare-const tptp.nonemptyE1 Bool) % 0.42/0.77 (declare-const tptp.setextAx Bool) % 0.42/0.77 (declare-const tptp.powerset__Cong Bool) % 0.42/0.77 (declare-const tptp.bs114d Bool) % 0.42/0.77 (declare-const tptp.setminusLsub Bool) % 0.42/0.77 (declare-const tptp.eqimpsubset2 Bool) % 0.42/0.77 (declare-const tptp.symdiffE Bool) % 0.42/0.77 (declare-const tptp.omega0Ax Bool) % 0.42/0.77 (declare-const tptp.subsetI2 Bool) % 0.42/0.77 (declare-const tptp.emptysetsubset Bool) % 0.42/0.77 (declare-const tptp.notsubsetI Bool) % 0.42/0.77 (declare-const tptp.ex1I2 Bool) % 0.42/0.77 (declare-const tptp.notequalI2 Bool) % 0.42/0.77 (declare-const tptp.setadjoinSub Bool) % 0.42/0.77 (declare-const tptp.kpairiskpair Bool) % 0.42/0.77 (declare-const tptp.setadjoinSub2 Bool) % 0.42/0.77 (declare-const tptp.disjointsetsI1 Bool) % 0.42/0.77 (declare-const tptp.theprop Bool) % 0.42/0.77 (declare-const tptp.singletonsubset Bool) % 0.42/0.77 (declare-const tptp.setextsub Bool) % 0.42/0.77 (declare-const tptp.setbeta Bool) % 0.42/0.77 (declare-const tptp.binintersectSubset4 Bool) % 0.42/0.77 (declare-const tptp.powersetsubset Bool) % 0.42/0.77 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (declare-const tptp.binunionIL Bool) % 0.42/0.77 (declare-const tptp.apProp Bool) % 0.42/0.77 (declare-const tptp.binunionIR Bool) % 0.42/0.77 (declare-const tptp.setukpairinjR1 Bool) % 0.42/0.77 (declare-const tptp.descrp Bool) % 0.42/0.77 (declare-const tptp.quantDeMorgan3 Bool) % 0.42/0.77 (declare-const tptp.binunionEcases Bool) % 0.42/0.77 (declare-const tptp.exuI1 Bool) % 0.42/0.77 (declare-const tptp.binintersectI Bool) % 0.42/0.77 (declare-const tptp.lamProp Bool) % 0.42/0.77 (declare-const tptp.binintersectEL Bool) % 0.42/0.77 (declare-const tptp.binintersectSubset2 Bool) % 0.42/0.77 (declare-const tptp.setext Bool) % 0.42/0.77 (declare-const tptp.binintersectER Bool) % 0.42/0.77 (declare-const tptp.binintersectSubset1 Bool) % 0.42/0.77 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.77 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 0.42/0.77 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.42/0.77 (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)))))))) % 0.42/0.77 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 0.42/0.77 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.42/0.77 (define tptp.func () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.42/0.77 (define tptp.ap () (let ((_let_1 (@var "Xf" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (lambda (@list (@var "A" $$unsorted) _let_4 _let_1 _let_3) (_ tptp.setunion (_ (_ tptp.dsetconstr _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1)))))))))) % 0.42/0.77 (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)))))))))) % 0.42/0.77 (define @t1 () (@var "B" $$unsorted)) % 0.42/0.77 (define @t2 () (@var "A" $$unsorted)) % 0.42/0.77 (define @t3 () (= @t2 @t1)) % 0.42/0.77 (define @t4 () (@var "Xx" $$unsorted)) % 0.42/0.77 (define @t5 () (_ tptp.in @t4)) % 0.42/0.77 (define @t6 () (_ @t5 @t1)) % 0.42/0.77 (define @t7 () (_ @t5 @t2)) % 0.42/0.77 (define @t8 () (@list @t4)) % 0.42/0.77 (define @t9 () (@list @t2 @t1)) % 0.42/0.77 (define @t10 () (_ @t5 tptp.emptyset)) % 0.42/0.77 (define @t11 () (forall @t8 (not @t10))) % 0.42/0.77 (define @t12 () (@var "Xy" $$unsorted)) % 0.42/0.77 (define @t13 () (_ tptp.in @t12)) % 0.42/0.77 (define @t14 () (_ @t13 @t2)) % 0.42/0.77 (define @t15 () (= @t12 @t4)) % 0.42/0.77 (define @t16 () (or @t15 @t14)) % 0.42/0.77 (define @t17 () (_ tptp.setadjoin @t4)) % 0.42/0.77 (define @t18 () (_ @t17 @t2)) % 0.42/0.77 (define @t19 () (_ @t13 @t18)) % 0.42/0.77 (define @t20 () (@list @t4 @t2 @t12)) % 0.42/0.77 (define @t21 () (=> @t6 @t7)) % 0.42/0.77 (define @t22 () (forall @t8 @t21)) % 0.42/0.77 (define @t23 () (_ tptp.powerset @t2)) % 0.42/0.77 (define @t24 () (_ tptp.in @t1)) % 0.42/0.77 (define @t25 () (_ @t24 @t23)) % 0.42/0.77 (define @t26 () (_ @t24 @t2)) % 0.42/0.77 (define @t27 () (@list @t1)) % 0.42/0.77 (define @t28 () (_ tptp.setunion @t2)) % 0.42/0.77 (define @t29 () (_ @t5 @t28)) % 0.42/0.77 (define @t30 () (@list @t2 @t4)) % 0.42/0.77 (define @t31 () (_ tptp.in tptp.emptyset)) % 0.42/0.77 (define @t32 () (_ tptp.in (_ @t17 @t4))) % 0.42/0.77 (define @t33 () (_ @t5 tptp.omega)) % 0.42/0.77 (define @t34 () (@list @t2)) % 0.42/0.77 (define @t35 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.42/0.77 (define @t36 () (@list @t12)) % 0.42/0.77 (define @t37 () (_ (_ @t35 @t4) @t12)) % 0.42/0.77 (define @t38 () (exists @t8 @t7)) % 0.42/0.77 (define @t39 () (@var "E" $$unsorted)) % 0.42/0.77 (define @t40 () (@var "D" $$unsorted)) % 0.42/0.77 (define @t41 () (_ @t13 @t40)) % 0.42/0.77 (define @t42 () (@var "C" $$unsorted)) % 0.42/0.77 (define @t43 () (_ @t13 @t42)) % 0.42/0.77 (define @t44 () (_ @t5 @t42)) % 0.42/0.77 (define @t45 () (_ (_ tptp.in @t40) @t1)) % 0.42/0.77 (define @t46 () (forall @t8 (=> @t44 @t7))) % 0.42/0.77 (define @t47 () (@list @t42)) % 0.42/0.77 (define @t48 () (_ @t5 @t40)) % 0.42/0.77 (define @t49 () (_ (_ tptp.in @t42) @t1)) % 0.42/0.77 (define @t50 () (= @t4 @t12)) % 0.42/0.77 (define @t51 () (@list @t4 @t12)) % 0.42/0.77 (define @t52 () (@var "Xphi" (-> $$unsorted Bool))) % 0.42/0.77 (define @t53 () (_ @t52 @t4)) % 0.42/0.77 (define @t54 () (lambda @t8 @t53)) % 0.42/0.77 (define @t55 () (_ tptp.descr @t54)) % 0.42/0.77 (define @t56 () (_ tptp.exu @t54)) % 0.42/0.77 (define @t57 () (@list @t52)) % 0.42/0.77 (define @t58 () (_ @t52 @t12)) % 0.42/0.77 (define @t59 () (lambda @t36 @t58)) % 0.42/0.77 (define @t60 () (_ tptp.dsetconstr @t2)) % 0.42/0.77 (define @t61 () (_ @t60 @t59)) % 0.42/0.77 (define @t62 () (_ @t5 @t61)) % 0.42/0.77 (define @t63 () (@list @t2 @t52 @t4)) % 0.42/0.77 (define @t64 () (=> @t58 @t50)) % 0.42/0.77 (define @t65 () (exists @t8 (and @t53 (forall @t36 @t64)))) % 0.42/0.77 (define @t66 () (@var "Xphi" Bool)) % 0.42/0.77 (define @t67 () (_ tptp.prop2set @t66)) % 0.42/0.77 (define @t68 () (@list @t66)) % 0.42/0.77 (define @t69 () (exists @t8 @t53)) % 0.42/0.77 (define @t70 () (=> @t7 @t6)) % 0.42/0.77 (define @t71 () (forall @t8 @t70)) % 0.42/0.77 (define @t72 () (= @t2 tptp.emptyset)) % 0.42/0.77 (define @t73 () (not @t7)) % 0.42/0.77 (define @t74 () (forall @t34 (=> (forall @t8 @t73) @t72))) % 0.42/0.77 (define @t75 () (_ tptp.nonempty @t2)) % 0.42/0.77 (define @t76 () (forall @t34 (_ @t31 @t23))) % 0.42/0.77 (define @t77 () (@list @t2 @t1 @t4)) % 0.42/0.77 (define @t78 () (@list @t2 @t4 @t1)) % 0.42/0.77 (define @t79 () (exists @t8 (forall @t36 (= @t58 @t15)))) % 0.42/0.77 (define @t80 () (_ tptp.setadjoin @t12)) % 0.42/0.77 (define @t81 () (_ @t80 tptp.emptyset)) % 0.42/0.77 (define @t82 () (_ @t5 @t81)) % 0.42/0.77 (define @t83 () (_ @t17 tptp.emptyset)) % 0.42/0.77 (define @t84 () (_ @t13 @t83)) % 0.42/0.77 (define @t85 () (@var "Xz" $$unsorted)) % 0.42/0.77 (define @t86 () (_ @t17 @t81)) % 0.42/0.77 (define @t87 () (@list @t4 @t12 @t85)) % 0.42/0.77 (define @t88 () (forall @t87 (=> (_ (_ tptp.in @t85) @t86) (or (= @t85 @t4) (= @t85 @t12))))) % 0.42/0.77 (define @t89 () (forall @t51 (_ @t13 @t86))) % 0.42/0.77 (define @t90 () (_ @t60 @t54)) % 0.42/0.77 (define @t91 () (exists @t8 (and @t7 @t53))) % 0.42/0.77 (define @t92 () (@list @t2 @t52)) % 0.42/0.77 (define @t93 () (not @t53)) % 0.42/0.77 (define @t94 () (exists @t8 (and @t7 @t93))) % 0.42/0.77 (define @t95 () (not (forall @t8 (=> @t7 @t53)))) % 0.42/0.77 (define @t96 () (forall @t92 (=> @t95 @t94))) % 0.42/0.77 (define @t97 () (not @t91)) % 0.42/0.77 (define @t98 () (forall @t8 (=> @t7 @t93))) % 0.42/0.77 (define @t99 () (forall @t92 (=> @t97 @t98))) % 0.42/0.77 (define @t100 () (=> @t53 @t64)) % 0.42/0.77 (define @t101 () (forall @t51 @t100)) % 0.42/0.77 (define @t102 () (_ @t13 @t1)) % 0.42/0.77 (define @t103 () (forall @t57 (=> @t56 @t101))) % 0.42/0.77 (define @t104 () (@var "Xpsi" (-> $$unsorted Bool))) % 0.42/0.77 (define @t105 () (lambda @t8 (_ @t104 @t4))) % 0.42/0.77 (define @t106 () (_ tptp.exu @t105)) % 0.42/0.77 (define @t107 () (=> @t50 (= @t53 (_ @t104 @t12)))) % 0.42/0.77 (define @t108 () (forall @t51 @t107)) % 0.42/0.77 (define @t109 () (@list @t52 @t104)) % 0.42/0.77 (define @t110 () (@var "Xu" $$unsorted)) % 0.42/0.77 (define @t111 () (= @t85 @t110)) % 0.42/0.77 (define @t112 () (@list @t85 @t110)) % 0.42/0.77 (define @t113 () (_ tptp.powerset @t1)) % 0.42/0.77 (define @t114 () (_ tptp.dsetconstr @t1)) % 0.42/0.77 (define @t115 () (_ tptp.subset @t2)) % 0.42/0.77 (define @t116 () (_ @t115 @t1)) % 0.42/0.77 (define @t117 () (forall @t9 (=> @t71 @t116))) % 0.42/0.77 (define @t118 () (_ tptp.subset @t1)) % 0.42/0.77 (define @t119 () (_ @t118 @t2)) % 0.42/0.77 (define @t120 () (not @t6)) % 0.42/0.77 (define @t121 () (=> @t120 @t73)) % 0.42/0.77 (define @t122 () (not @t116)) % 0.42/0.77 (define @t123 () (not @t3)) % 0.42/0.77 (define @t124 () (@list @t2 @t1 @t42)) % 0.42/0.77 (define @t125 () (_ tptp.in @t2)) % 0.42/0.77 (define @t126 () (_ (_ tptp.binunion @t2) @t1)) % 0.42/0.77 (define @t127 () (_ @t5 @t126)) % 0.42/0.77 (define @t128 () (=> @t6 @t66)) % 0.42/0.77 (define @t129 () (_ tptp.binintersect @t2)) % 0.42/0.77 (define @t130 () (_ @t129 @t1)) % 0.42/0.77 (define @t131 () (_ @t5 @t130)) % 0.42/0.77 (define @t132 () (_ tptp.subset @t42)) % 0.42/0.77 (define @t133 () (_ tptp.subset @t130)) % 0.42/0.77 (define @t134 () (= @t130 @t2)) % 0.42/0.77 (define @t135 () (= @t130 @t1)) % 0.42/0.77 (define @t136 () (_ (_ tptp.setminus @t2) @t1)) % 0.42/0.77 (define @t137 () (_ @t5 @t136)) % 0.42/0.77 (define @t138 () (= @t136 tptp.emptyset)) % 0.42/0.77 (define @t139 () (not @t137)) % 0.42/0.77 (define @t140 () (_ @t5 (_ (_ tptp.symdiff @t2) @t1))) % 0.42/0.77 (define @t141 () (not @t140)) % 0.42/0.77 (define @t142 () (_ tptp.setadjoin @t83)) % 0.42/0.77 (define @t143 () (_ @t142 (_ (_ tptp.setadjoin @t86) tptp.emptyset))) % 0.42/0.77 (define @t144 () (_ tptp.setunion @t143)) % 0.42/0.77 (define @t145 () (_ (_ tptp.kpair @t4) @t12)) % 0.42/0.77 (define @t146 () (_ tptp.in @t83)) % 0.42/0.77 (define @t147 () (_ tptp.powerset @t126)) % 0.42/0.77 (define @t148 () (_ tptp.powerset @t147)) % 0.42/0.77 (define @t149 () (_ tptp.in @t145)) % 0.42/0.77 (define @t150 () (_ (_ tptp.cartprod @t2) @t1)) % 0.42/0.77 (define @t151 () (_ @t149 @t150)) % 0.42/0.77 (define @t152 () (_ (_ tptp.in @t110) @t150)) % 0.42/0.77 (define @t153 () (@list @t2 @t1 @t110)) % 0.42/0.77 (define @t154 () (_ tptp.iskpair @t110)) % 0.42/0.77 (define @t155 () (@var "X" $$unsorted)) % 0.42/0.77 (define @t156 () (@list @t155)) % 0.42/0.77 (define @t157 () (_ tptp.setunion (_ (_ tptp.setadjoin @t2) tptp.emptyset))) % 0.42/0.77 (define @t158 () (_ tptp.singleton @t90)) % 0.42/0.77 (define @t159 () (forall @t8 (=> @t7 (forall @t36 (=> @t14 @t100))))) % 0.42/0.77 (define @t160 () (_ tptp.ex1 @t2)) % 0.42/0.77 (define @t161 () (_ @t160 @t54)) % 0.42/0.77 (define @t162 () (= @t4 @t85)) % 0.42/0.77 (define @t163 () (_ tptp.setadjoin @t85)) % 0.42/0.77 (define @t164 () (_ @t163 tptp.emptyset)) % 0.42/0.77 (define @t165 () (_ tptp.dsetconstr (_ tptp.setunion @t110))) % 0.42/0.77 (define @t166 () (@list @t110)) % 0.42/0.77 (define @t167 () (= (_ tptp.kfst @t145) @t4)) % 0.42/0.77 (define @t168 () (_ tptp.kfst @t110)) % 0.42/0.77 (define @t169 () (= @t143 (_ (_ tptp.setadjoin @t164) (_ (_ tptp.setadjoin (_ @t163 (_ (_ tptp.setadjoin @t110) tptp.emptyset))) tptp.emptyset)))) % 0.42/0.77 (define @t170 () (@list @t4 @t12 @t85 @t110)) % 0.42/0.77 (define @t171 () (= @t145 (_ (_ tptp.kpair @t85) @t110))) % 0.42/0.77 (define @t172 () (= @t12 @t110)) % 0.42/0.77 (define @t173 () (_ tptp.kpair @t168)) % 0.42/0.77 (define @t174 () (= (_ tptp.ksnd @t145) @t12)) % 0.42/0.77 (define @t175 () (_ tptp.ksnd @t110)) % 0.42/0.77 (define @t176 () (= (_ @t173 @t175) @t110)) % 0.42/0.77 (define @t177 () (@list @t2 @t1 @t4 @t12)) % 0.42/0.77 (define @t178 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 0.42/0.77 (define @t179 () (_ @t149 (_ @t178 (lambda @t112 (_ (_ @t35 @t85) @t110))))) % 0.42/0.77 (define @t180 () (@list @t2 @t1 @t35 @t4)) % 0.42/0.77 (define @t181 () (_ @t178 (lambda @t51 @t37))) % 0.42/0.77 (define @t182 () (@list @t2 @t1 @t35)) % 0.42/0.77 (define @t183 () (_ (_ tptp.breln @t2) @t1)) % 0.42/0.77 (define @t184 () (=> @t179 @t37)) % 0.42/0.77 (define @t185 () (@list @t2 @t1 @t35 @t4 @t12)) % 0.42/0.77 (define @t186 () (@var "Xf" $$unsorted)) % 0.42/0.77 (define @t187 () (_ @t114 (lambda @t36 (_ @t149 @t186)))) % 0.42/0.77 (define @t188 () (_ (_ tptp.func @t2) @t1)) % 0.42/0.77 (define @t189 () (_ @t188 @t186)) % 0.42/0.77 (define @t190 () (@list @t2 @t1 @t186)) % 0.42/0.77 (define @t191 () (_ tptp.setunion @t187)) % 0.42/0.77 (define @t192 () (forall @t8 (=> @t7 (_ (_ tptp.in (_ (_ (_ (_ tptp.ap @t2) @t1) @t186) @t4)) @t1)))) % 0.42/0.77 (define @t193 () (_ (_ tptp.in @t186) (_ (_ tptp.funcSet @t2) @t1))) % 0.42/0.77 (define @t194 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.42/0.77 (define @t195 () (_ @t194 @t4)) % 0.42/0.77 (define @t196 () (lambda @t51 (= @t195 @t12))) % 0.42/0.77 (define @t197 () (_ @t178 @t196)) % 0.42/0.77 (define @t198 () (_ (_ tptp.in @t195) @t1)) % 0.42/0.77 (define @t199 () (forall @t8 (=> @t7 @t198))) % 0.42/0.77 (define @t200 () (=> @t199 (_ @t188 @t197))) % 0.42/0.77 (define @t201 () (@list @t2 @t1 @t194)) % 0.42/0.77 (define @t202 () (forall @t201 @t200)) % 0.42/0.77 (define @t203 () (= tptp.lamProp @t202)) % 0.42/0.77 (define @t204 () (lambda @t8 @t195)) % 0.42/0.77 (define @t205 () (=> @t199 (_ @t188 (_ (_ (_ tptp.lam @t2) @t1) @t204)))) % 0.42/0.77 (define @t206 () (forall @t201 @t205)) % 0.42/0.77 (define @t207 () (=> tptp.lamProp @t206)) % 0.42/0.77 (define @t208 () (=> tptp.funcinfuncset @t207)) % 0.42/0.77 (define @t209 () (=> tptp.ap2p @t208)) % 0.42/0.77 (define @t210 () (=> tptp.infuncsetfunc @t209)) % 0.42/0.77 (define @t211 () (=> tptp.app @t210)) % 0.42/0.77 (define @t212 () (=> tptp.apProp @t211)) % 0.42/0.77 (define @t213 () (=> tptp.funcImageSingleton @t212)) % 0.42/0.77 (define @t214 () (=> tptp.dpsetconstrER @t213)) % 0.42/0.77 (define @t215 () (=> tptp.dpsetconstrEL2 @t214)) % 0.42/0.77 (define @t216 () (=> tptp.dpsetconstrEL1 @t215)) % 0.42/0.77 (define @t217 () (=> tptp.dpsetconstrERa @t216)) % 0.42/0.77 (define @t218 () (=> tptp.setOfPairsIsBReln @t217)) % 0.42/0.77 (define @t219 () (=> tptp.dpsetconstrSub @t218)) % 0.42/0.77 (define @t220 () (=> tptp.dpsetconstrI @t219)) % 0.42/0.77 (define @t221 () (=> tptp.cartprodpairsurjEq @t220)) % 0.42/0.77 (define @t222 () (=> tptp.cartprodsndpairEq @t221)) % 0.42/0.77 (define @t223 () (=> tptp.cartprodfstpairEq @t222)) % 0.42/0.77 (define @t224 () (=> tptp.cartprodmempaircEq @t223)) % 0.42/0.77 (define @t225 () (=> tptp.cartprodpairmemER @t224)) % 0.42/0.77 (define @t226 () (=> tptp.cartprodpairmemEL @t225)) % 0.42/0.77 (define @t227 () (=> tptp.cartprodsndin @t226)) % 0.42/0.77 (define @t228 () (=> tptp.kpairsurjEq @t227)) % 0.42/0.77 (define @t229 () (=> tptp.ksndpairEq @t228)) % 0.42/0.77 (define @t230 () (=> tptp.ksndsingleton @t229)) % 0.42/0.77 (define @t231 () (=> tptp.setukpairinjR @t230)) % 0.42/0.77 (define @t232 () (=> tptp.setukpairinjR2 @t231)) % 0.42/0.77 (define @t233 () (=> tptp.upairequniteq @t232)) % 0.42/0.77 (define @t234 () (=> tptp.setukpairinjR1 @t233)) % 0.42/0.77 (define @t235 () (=> tptp.setukpairinjR12 @t234)) % 0.42/0.77 (define @t236 () (=> tptp.setukpairinjR11 @t235)) % 0.42/0.77 (define @t237 () (=> tptp.setukpairinjL @t236)) % 0.42/0.77 (define @t238 () (=> tptp.setukpairinjL2 @t237)) % 0.42/0.77 (define @t239 () (=> tptp.cartprodfstin @t238)) % 0.42/0.77 (define @t240 () (=> tptp.kfstpairEq @t239)) % 0.42/0.77 (define @t241 () (=> tptp.theprop @t240)) % 0.42/0.77 (define @t242 () (=> tptp.kfstsingleton @t241)) % 0.42/0.77 (define @t243 () (=> tptp.setukpairinjL1 @t242)) % 0.42/0.77 (define @t244 () (=> tptp.singletonsuniq @t243)) % 0.42/0.77 (define @t245 () (=> tptp.ex1I2 @t244)) % 0.42/0.77 (define @t246 () (=> tptp.ex1I @t245)) % 0.42/0.77 (define @t247 () (=> tptp.ex1E1 @t246)) % 0.42/0.77 (define @t248 () (=> tptp.singletonprop @t247)) % 0.42/0.77 (define @t249 () (=> tptp.setunionsingleton @t248)) % 0.42/0.77 (define @t250 () (=> tptp.setunionsingleton2 @t249)) % 0.42/0.77 (define @t251 () (=> tptp.setunionsingleton1 @t250)) % 0.42/0.77 (define @t252 () (=> tptp.setunionE2 @t251)) % 0.42/0.77 (define @t253 () (=> tptp.cartprodmempair @t252)) % 0.42/0.77 (define @t254 () (=> tptp.cartprodmempair1 @t253)) % 0.42/0.77 (define @t255 () (=> tptp.cartprodpairin @t254)) % 0.42/0.77 (define @t256 () (=> tptp.ubforcartprodlem3 @t255)) % 0.42/0.77 (define @t257 () (=> tptp.ubforcartprodlem2 @t256)) % 0.42/0.77 (define @t258 () (=> tptp.ubforcartprodlem1 @t257)) % 0.42/0.77 (define @t259 () (=> tptp.upairinpowunion @t258)) % 0.42/0.77 (define @t260 () (=> tptp.upairsubunion @t259)) % 0.42/0.77 (define @t261 () (=> tptp.upairset2E @t260)) % 0.42/0.77 (define @t262 () (=> tptp.singletoninpowunion @t261)) % 0.42/0.77 (define @t263 () (=> tptp.singletoninpowerset @t262)) % 0.42/0.77 (define @t264 () (=> tptp.singletonsubset @t263)) % 0.42/0.77 (define @t265 () (=> tptp.kpairp @t264)) % 0.42/0.77 (define @t266 () (=> tptp.kpairiskpair @t265)) % 0.42/0.77 (define @t267 () (=> tptp.setukpairIR @t266)) % 0.42/0.77 (define @t268 () (=> tptp.setukpairIL @t267)) % 0.42/0.77 (define @t269 () (=> tptp.secondinupair @t268)) % 0.42/0.77 (define @t270 () (=> tptp.symdiffIneg2 @t269)) % 0.42/0.77 (define @t271 () (=> tptp.symdiffIneg1 @t270)) % 0.42/0.77 (define @t272 () (=> tptp.symdiffI2 @t271)) % 0.42/0.77 (define @t273 () (=> tptp.symdiffI1 @t272)) % 0.42/0.77 (define @t274 () (=> tptp.symdiffE @t273)) % 0.42/0.77 (define @t275 () (=> tptp.setminusSubset1 @t274)) % 0.42/0.77 (define @t276 () (=> tptp.setminusLsub @t275)) % 0.42/0.77 (define @t277 () (=> tptp.setminusIRneg @t276)) % 0.42/0.77 (define @t278 () (=> tptp.setminusILneg @t277)) % 0.42/0.77 (define @t279 () (=> tptp.setminusELneg @t278)) % 0.42/0.77 (define @t280 () (=> tptp.setminusERneg @t279)) % 0.42/0.77 (define @t281 () (=> tptp.setminusSubset2 @t280)) % 0.42/0.77 (define @t282 () (=> tptp.setminusER @t281)) % 0.42/0.77 (define @t283 () (=> tptp.setminusEL @t282)) % 0.42/0.77 (define @t284 () (=> tptp.setminusI @t283)) % 0.42/0.77 (define @t285 () (=> tptp.bs114d @t284)) % 0.42/0.77 (define @t286 () (=> tptp.binintersectSubset1 @t285)) % 0.42/0.77 (define @t287 () (=> tptp.binintersectSubset4 @t286)) % 0.42/0.77 (define @t288 () (=> tptp.binintersectRsub @t287)) % 0.42/0.77 (define @t289 () (=> tptp.disjointsetsI1 @t288)) % 0.42/0.77 (define @t290 () (=> tptp.binintersectER @t289)) % 0.42/0.77 (define @t291 () (=> tptp.binintersectSubset3 @t290)) % 0.42/0.77 (define @t292 () (=> tptp.binintersectSubset2 @t291)) % 0.42/0.77 (define @t293 () (=> tptp.binintersectLsub @t292)) % 0.42/0.77 (define @t294 () (=> tptp.binintersectEL @t293)) % 0.42/0.77 (define @t295 () (=> tptp.binintersectSubset5 @t294)) % 0.42/0.77 (define @t296 () (=> tptp.binintersectI @t295)) % 0.42/0.77 (define @t297 () (=> tptp.binunionRsub @t296)) % 0.42/0.77 (define @t298 () (=> tptp.binunionLsub @t297)) % 0.42/0.77 (define @t299 () (=> tptp.binunionE @t298)) % 0.42/0.77 (define @t300 () (=> tptp.binunionEcases @t299)) % 0.42/0.77 (define @t301 () (=> tptp.binunionIR @t300)) % 0.42/0.77 (define @t302 () (=> tptp.upairset2IR @t301)) % 0.42/0.77 (define @t303 () (=> tptp.binunionIL @t302)) % 0.42/0.77 (define @t304 () (=> tptp.sepSubset @t303)) % 0.42/0.77 (define @t305 () (=> tptp.sepInPowerset @t304)) % 0.42/0.77 (define @t306 () (=> tptp.powersetsubset @t305)) % 0.42/0.77 (define @t307 () (=> tptp.inPowerset @t306)) % 0.42/0.77 (define @t308 () (=> tptp.powersetE1 @t307)) % 0.42/0.77 (define @t309 () (=> tptp.powersetI1 @t308)) % 0.42/0.77 (define @t310 () (=> tptp.subsetemptysetimpeq @t309)) % 0.42/0.77 (define @t311 () (=> tptp.setextsub @t310)) % 0.42/0.77 (define @t312 () (=> tptp.subset2powerset @t311)) % 0.42/0.77 (define @t313 () (=> tptp.setadjoinSub2 @t312)) % 0.42/0.77 (define @t314 () (=> tptp.setadjoinSub @t313)) % 0.42/0.77 (define @t315 () (=> tptp.subsetTrans @t314)) % 0.42/0.77 (define @t316 () (=> tptp.subsetRefl @t315)) % 0.42/0.77 (define @t317 () (=> tptp.notequalI2 @t316)) % 0.42/0.77 (define @t318 () (=> tptp.notequalI1 @t317)) % 0.42/0.77 (define @t319 () (=> tptp.notsubsetI @t318)) % 0.42/0.77 (define @t320 () (=> tptp.subsetE2 @t319)) % 0.42/0.77 (define @t321 () (=> tptp.subsetE @t320)) % 0.42/0.77 (define @t322 () (=> tptp.emptysetsubset @t321)) % 0.42/0.77 (define @t323 () (=> tptp.subsetI2 @t322)) % 0.42/0.77 (define @t324 () (=> tptp.eqimpsubset1 @t323)) % 0.42/0.77 (define @t325 () (=> tptp.eqimpsubset2 @t324)) % 0.42/0.77 (define @t326 () (=> tptp.subsetI1 @t325)) % 0.42/0.77 (define @t327 () (=> tptp.dsetconstr__Cong @t326)) % 0.42/0.77 (define @t328 () (=> tptp.descr__Cong @t327)) % 0.42/0.77 (define @t329 () (=> tptp.exuEu @t328)) % 0.42/0.77 (define @t330 () (=> tptp.omega__Cong @t329)) % 0.42/0.77 (define @t331 () (=> tptp.setunion__Cong @t330)) % 0.42/0.77 (define @t332 () (=> tptp.powerset__Cong @t331)) % 0.42/0.77 (define @t333 () (=> tptp.setadjoin__Cong @t332)) % 0.42/0.77 (define @t334 () (=> tptp.emptyset__Cong @t333)) % 0.42/0.77 (define @t335 () (=> tptp.exu__Cong @t334)) % 0.42/0.77 (define @t336 () (=> tptp.exuE3u @t335)) % 0.42/0.77 (define @t337 () (=> tptp.in__Cong @t336)) % 0.42/0.77 (define @t338 () (=> tptp.inCongP @t337)) % 0.42/0.77 (define @t339 () (=> tptp.exuI2 @t338)) % 0.42/0.77 (define @t340 () (=> tptp.exuI3 @t339)) % 0.42/0.77 (define @t341 () (=> tptp.exuI1 @t340)) % 0.42/0.77 (define @t342 () (=> tptp.notdallE @t341)) % 0.42/0.77 (define @t343 () (=> tptp.notdexE @t342)) % 0.42/0.77 (define @t344 () (=> tptp.prop2set2propI @t343)) % 0.42/0.77 (define @t345 () (=> tptp.prop2setI @t344)) % 0.42/0.77 (define @t346 () (=> tptp.quantDeMorgan4 @t345)) % 0.42/0.77 (define @t347 () (=> tptp.quantDeMorgan3 @t346)) % 0.42/0.77 (define @t348 () (=> tptp.quantDeMorgan2 @t347)) % 0.42/0.77 (define @t349 () (=> tptp.quantDeMorgan1 @t348)) % 0.42/0.77 (define @t350 () (=> tptp.vacuousDall @t349)) % 0.42/0.77 (define @t351 () (=> tptp.emptyE1 @t350)) % 0.42/0.77 (define @t352 () (=> tptp.upairsetIR @t351)) % 0.42/0.77 (define @t353 () (=> tptp.upairsetIL @t352)) % 0.42/0.77 (define @t354 () (=> tptp.upairsetE @t353)) % 0.42/0.77 (define @t355 () (=> tptp.singletonsswitch @t354)) % 0.42/0.77 (define @t356 () (=> tptp.eqinunit @t355)) % 0.42/0.77 (define @t357 () (=> tptp.notinsingleton @t356)) % 0.42/0.77 (define @t358 () (=> tptp.uniqinunit @t357)) % 0.42/0.77 (define @t359 () (=> tptp.nonemptyImpWitness @t358)) % 0.42/0.77 (define @t360 () (=> tptp.exuE2 @t359)) % 0.42/0.77 (define @t361 () (=> tptp.subPowSU @t360)) % 0.42/0.77 (define @t362 () (=> tptp.setunionE @t361)) % 0.42/0.77 (define @t363 () (=> tptp.setunionI @t362)) % 0.42/0.77 (define @t364 () (=> tptp.powersetE @t363)) % 0.42/0.77 (define @t365 () (=> tptp.emptyInPowerset @t364)) % 0.42/0.77 (define @t366 () (=> tptp.emptyinPowerset @t365)) % 0.42/0.77 (define @t367 () (=> tptp.powersetI @t366)) % 0.42/0.77 (define @t368 () (=> tptp.setoftrueEq @t367)) % 0.42/0.77 (define @t369 () (=> tptp.setadjoinOr @t368)) % 0.42/0.77 (define @t370 () (=> tptp.setadjoinE @t369)) % 0.42/0.77 (define @t371 () (=> tptp.setadjoinIR @t370)) % 0.42/0.77 (define @t372 () (=> tptp.emptyinunitempty @t371)) % 0.42/0.77 (define @t373 () (=> tptp.setadjoinIL @t372)) % 0.42/0.77 (define @t374 () (=> tptp.nonemptyI1 @t373)) % 0.42/0.77 (define @t375 () (=> tptp.nonemptyI @t374)) % 0.42/0.77 (define @t376 () (=> tptp.nonemptyE1 @t375)) % 0.42/0.77 (define @t377 () (=> tptp.setbeta @t376)) % 0.42/0.77 (define @t378 () (=> tptp.noeltsimpempty @t377)) % 0.42/0.77 (define @t379 () (=> tptp.emptyI @t378)) % 0.42/0.77 (define @t380 () (=> tptp.setext @t379)) % 0.42/0.77 (define @t381 () (=> tptp.exuE3e @t380)) % 0.42/0.77 (define @t382 () (=> tptp.notinemptyset @t381)) % 0.42/0.77 (define @t383 () (=> tptp.emptysetimpfalse @t382)) % 0.42/0.77 (define @t384 () (=> tptp.emptysetE @t383)) % 0.42/0.77 (define @t385 () (=> tptp.prop2setE @t384)) % 0.42/0.77 (define @t386 () (=> tptp.exuE1 @t385)) % 0.42/0.77 (define @t387 () (=> tptp.dsetconstrER @t386)) % 0.42/0.77 (define @t388 () (=> tptp.dsetconstrEL @t387)) % 0.42/0.77 (define @t389 () (=> tptp.dsetconstrI @t388)) % 0.42/0.77 (define @t390 () (=> tptp.descrp @t389)) % 0.42/0.77 (define @t391 () (=> tptp.wellorderingAx @t390)) % 0.42/0.77 (define @t392 () (=> tptp.foundationAx @t391)) % 0.42/0.77 (define @t393 () (=> tptp.replAx @t392)) % 0.42/0.77 (define @t394 () (=> tptp.omegaIndAx @t393)) % 0.42/0.77 (define @t395 () (=> tptp.omegaSAx @t394)) % 0.42/0.77 (define @t396 () (=> tptp.omega0Ax @t395)) % 0.42/0.77 (define @t397 () (=> tptp.setunionAx @t396)) % 0.42/0.77 (define @t398 () (=> tptp.powersetAx @t397)) % 0.42/0.77 (define @t399 () (=> tptp.setadjoinAx @t398)) % 0.42/0.77 (define @t400 () (=> tptp.emptysetAx @t399)) % 0.42/0.77 (define @t401 () (=> tptp.setextAx @t400)) % 0.42/0.77 (define @t402 () (not @t401)) % 0.42/0.77 (define @t403 () (lambda @t57 @t65)) % 0.42/0.77 (define @t404 () (lambda @t8 (not (= @t4 tptp.emptyset)))) % 0.42/0.77 (define @t405 () (= @t2 @t83)) % 0.42/0.77 (define @t406 () (and @t7 @t405)) % 0.42/0.77 (define @t407 () (exists @t8 @t406)) % 0.42/0.77 (define @t408 () (lambda @t34 @t407)) % 0.42/0.77 (define @t409 () (lambda @t92 @t158)) % 0.42/0.77 (define @t410 () (_ @t132 @t150)) % 0.42/0.77 (define @t411 () (lambda @t124 @t410)) % 0.42/0.77 (define @t412 () (@var "R" $$unsorted)) % 0.42/0.77 (define @t413 () (_ @t149 @t412)) % 0.42/0.77 (define @t414 () (lambda @t36 @t413)) % 0.42/0.77 (define @t415 () (=> @t7 (_ (_ tptp.ex1 @t1) @t414))) % 0.42/0.77 (define @t416 () (forall @t8 @t415)) % 0.42/0.77 (define @t417 () (and (_ @t183 @t412) @t416)) % 0.42/0.77 (define @t418 () (@list @t2 @t1 @t412)) % 0.42/0.77 (define @t419 () (lambda @t418 @t417)) % 0.42/0.77 (define @t420 () (lambda (@list @t2 @t1 @t186 @t4) @t191)) % 0.42/0.77 (define @t421 () (lambda @t201 @t197)) % 0.42/0.77 (define @t422 () (@var "BOUND_VARIABLE_12416" $$unsorted)) % 0.42/0.77 (define @t423 () (_ @t194 @t422)) % 0.42/0.77 (define @t424 () (@var "BOUND_VARIABLE_12377" $$unsorted)) % 0.42/0.77 (define @t425 () (@list @t422 @t424)) % 0.42/0.77 (define @t426 () (tptp.dpsetconstr @t2 @t1 (lambda @t425 (= @t424 @t423)))) % 0.42/0.77 (define @t427 () (@var "BOUND_VARIABLE_12468" $$unsorted)) % 0.42/0.77 (define @t428 () (tptp.dsetconstr @t1 (lambda @t36 (tptp.in (tptp.kpair @t427 @t12) @t426)))) % 0.42/0.77 (define @t429 () (@var "BOUND_VARIABLE_8830" $$unsorted)) % 0.42/0.77 (define @t430 () (tptp.setadjoin @t429 tptp.emptyset)) % 0.42/0.77 (define @t431 () (@list @t429)) % 0.42/0.77 (define @t432 () (or (not (tptp.in @t427 @t2)) (not (forall @t431 (or (not (tptp.in @t429 @t428)) (not (= @t430 @t428))))))) % 0.42/0.77 (define @t433 () (tptp.cartprod @t2 @t1)) % 0.42/0.77 (define @t434 () (_ @t194 @t4)) % 0.42/0.77 (define @t435 () (= @t12 @t434)) % 0.42/0.77 (define @t436 () (lambda @t51 @t435)) % 0.42/0.77 (define @t437 () (tptp.dpsetconstr @t2 @t1 @t436)) % 0.42/0.77 (define @t438 () (tptp.subset @t437 @t433)) % 0.42/0.77 (define @t439 () (and @t438 @t432)) % 0.42/0.77 (define @t440 () (tptp.in @t434 @t1)) % 0.42/0.77 (define @t441 () (tptp.in @t4 @t2)) % 0.42/0.77 (define @t442 () (not @t441)) % 0.42/0.77 (define @t443 () (forall @t8 (or @t442 @t440))) % 0.42/0.77 (define @t444 () (not @t443)) % 0.42/0.77 (define @t445 () (or @t444 @t439)) % 0.42/0.77 (define @t446 () (forall (@list @t2 @t1 @t194 @t427) @t445)) % 0.42/0.77 (define @t447 () (@list @t427)) % 0.42/0.77 (define @t448 () (forall @t447 @t445)) % 0.42/0.77 (define @t449 () (forall @t447 @t432)) % 0.42/0.77 (define @t450 () (@list @t4)) % 0.42/0.77 (define @t451 () (forall @t447 @t438)) % 0.42/0.77 (define @t452 () (and @t451 @t449)) % 0.42/0.77 (define @t453 () (forall @t447 @t439)) % 0.42/0.77 (define @t454 () (or @t444 @t453)) % 0.42/0.77 (define @t455 () (tptp.kpair @t4 @t12)) % 0.42/0.77 (define @t456 () (tptp.dsetconstr @t1 (lambda @t36 (tptp.in @t455 @t426)))) % 0.42/0.77 (define @t457 () (forall @t8 (or @t442 (not (forall @t431 (or (not (tptp.in @t429 @t456)) (not (= @t430 @t456)))))))) % 0.42/0.77 (define @t458 () (= @t12 @t195)) % 0.42/0.77 (define @t459 () (lambda @t51 @t458)) % 0.42/0.77 (define @t460 () (_ @t178 @t459)) % 0.42/0.77 (define @t461 () (_ (_ tptp.subset @t460) @t150)) % 0.42/0.77 (define @t462 () (and @t461 @t457)) % 0.42/0.77 (define @t463 () (or @t444 @t462)) % 0.42/0.77 (define @t464 () (lambda @t425 (= @t423 @t424))) % 0.42/0.77 (define @t465 () (tptp.dpsetconstr @t2 @t1 @t464)) % 0.42/0.77 (define @t466 () (tptp.in @t455 @t465)) % 0.42/0.77 (define @t467 () (lambda @t36 @t466)) % 0.42/0.77 (define @t468 () (tptp.dsetconstr @t1 @t467)) % 0.42/0.77 (define @t469 () (= @t430 @t468)) % 0.42/0.77 (define @t470 () (not @t469)) % 0.42/0.77 (define @t471 () (tptp.in @t429 @t468)) % 0.42/0.77 (define @t472 () (not @t471)) % 0.42/0.77 (define @t473 () (or @t472 @t470)) % 0.42/0.77 (define @t474 () (forall @t431 @t473)) % 0.42/0.77 (define @t475 () (not @t474)) % 0.42/0.77 (define @t476 () (or @t442 @t475)) % 0.42/0.77 (define @t477 () (= @t434 @t424)) % 0.42/0.77 (define @t478 () (@list @t4 @t424)) % 0.42/0.77 (define @t479 () (lambda @t478 @t477)) % 0.42/0.77 (define @t480 () (tptp.dpsetconstr @t2 @t1 @t479)) % 0.42/0.77 (define @t481 () (tptp.in @t455 @t480)) % 0.42/0.77 (define @t482 () (lambda @t36 @t481)) % 0.42/0.77 (define @t483 () (tptp.dsetconstr @t1 @t482)) % 0.42/0.77 (define @t484 () (= @t430 @t483)) % 0.42/0.77 (define @t485 () (not @t484)) % 0.42/0.77 (define @t486 () (tptp.in @t429 @t483)) % 0.42/0.77 (define @t487 () (not @t486)) % 0.42/0.77 (define @t488 () (or @t487 @t485)) % 0.42/0.77 (define @t489 () (forall @t431 @t488)) % 0.42/0.77 (define @t490 () (not @t489)) % 0.42/0.77 (define @t491 () (or @t442 @t490)) % 0.42/0.77 (define @t492 () (= @t195 @t424)) % 0.42/0.77 (define @t493 () (lambda @t478 @t492)) % 0.42/0.77 (define @t494 () (_ @t178 @t493)) % 0.42/0.77 (define @t495 () (tptp.in @t455 @t494)) % 0.42/0.77 (define @t496 () (lambda @t36 @t495)) % 0.42/0.77 (define @t497 () (tptp.dsetconstr @t1 @t496)) % 0.42/0.77 (define @t498 () (= @t430 @t497)) % 0.42/0.77 (define @t499 () (not @t498)) % 0.42/0.77 (define @t500 () (tptp.in @t429 @t497)) % 0.42/0.77 (define @t501 () (not @t500)) % 0.42/0.77 (define @t502 () (or @t501 @t499)) % 0.42/0.77 (define @t503 () (lambda @t478 (= @t424 @t195))) % 0.42/0.77 (define @t504 () (tptp.in @t455 (_ @t178 @t503))) % 0.42/0.77 (define @t505 () (lambda @t36 @t504)) % 0.42/0.77 (define @t506 () (lambda @t36 (tptp.in @t455 @t460))) % 0.42/0.77 (define @t507 () (tptp.dsetconstr @t1 @t506)) % 0.42/0.77 (define @t508 () (= @t430 @t507)) % 0.42/0.77 (define @t509 () (not @t508)) % 0.42/0.77 (define @t510 () (tptp.in @t429 @t507)) % 0.42/0.77 (define @t511 () (not @t510)) % 0.42/0.77 (define @t512 () (or @t511 @t509)) % 0.42/0.77 (define @t513 () (forall @t431 @t512)) % 0.42/0.77 (define @t514 () (not @t513)) % 0.42/0.77 (define @t515 () (or @t442 @t514)) % 0.42/0.77 (define @t516 () (forall @t8 @t515)) % 0.42/0.77 (define @t517 () (and @t461 @t516)) % 0.42/0.77 (define @t518 () (tptp.in @t455 @t412)) % 0.42/0.77 (define @t519 () (tptp.dsetconstr @t1 (lambda @t36 @t518))) % 0.42/0.77 (define @t520 () (not (forall @t431 (or (not (tptp.in @t429 @t519)) (not (= @t430 @t519)))))) % 0.42/0.77 (define @t521 () (_ (_ tptp.subset @t412) @t150)) % 0.42/0.77 (define @t522 () (and @t521 (forall @t8 (or @t442 @t520)))) % 0.42/0.77 (define @t523 () (lambda (@list @t412) @t522)) % 0.42/0.77 (define @t524 () (_ @t204 @t4)) % 0.42/0.77 (define @t525 () (= @t12 @t524)) % 0.42/0.77 (define @t526 () (lambda @t51 @t525)) % 0.42/0.77 (define @t527 () (lambda (@list @t194) @t460)) % 0.42/0.77 (define @t528 () (lambda (@list @t1 @t194) @t460)) % 0.42/0.77 (define @t529 () (_ (lambda @t201 @t460) @t2)) % 0.42/0.77 (define @t530 () (lambda (@list @t1 @t412) @t522)) % 0.42/0.77 (define @t531 () (_ (lambda @t418 @t522) @t2)) % 0.42/0.77 (define @t532 () (or @t73 @t198)) % 0.42/0.77 (define @t533 () (_ @t531 @t1)) % 0.42/0.77 (define @t534 () (=> @t199 (_ @t533 (_ (_ @t529 @t1) @t204)))) % 0.42/0.77 (define @t535 () (forall @t201 @t534)) % 0.42/0.77 (define @t536 () (=> tptp.lamProp @t535)) % 0.42/0.77 (define @t537 () (=> tptp.funcinfuncset @t536)) % 0.42/0.77 (define @t538 () (=> tptp.ap2p @t537)) % 0.42/0.77 (define @t539 () (=> tptp.infuncsetfunc @t538)) % 0.42/0.77 (define @t540 () (=> tptp.app @t539)) % 0.42/0.77 (define @t541 () (=> tptp.apProp @t540)) % 0.42/0.77 (define @t542 () (=> tptp.funcImageSingleton @t541)) % 0.42/0.77 (define @t543 () (=> tptp.dpsetconstrER @t542)) % 0.42/0.77 (define @t544 () (=> tptp.dpsetconstrEL2 @t543)) % 0.42/0.77 (define @t545 () (=> tptp.dpsetconstrEL1 @t544)) % 0.42/0.77 (define @t546 () (=> tptp.dpsetconstrERa @t545)) % 0.42/0.77 (define @t547 () (=> tptp.setOfPairsIsBReln @t546)) % 0.42/0.77 (define @t548 () (=> tptp.dpsetconstrSub @t547)) % 0.42/0.77 (define @t549 () (=> tptp.dpsetconstrI @t548)) % 0.42/0.77 (define @t550 () (=> tptp.cartprodpairsurjEq @t549)) % 0.42/0.77 (define @t551 () (=> tptp.cartprodsndpairEq @t550)) % 0.42/0.77 (define @t552 () (=> tptp.cartprodfstpairEq @t551)) % 0.42/0.77 (define @t553 () (=> tptp.cartprodmempaircEq @t552)) % 0.42/0.77 (define @t554 () (=> tptp.cartprodpairmemER @t553)) % 0.42/0.77 (define @t555 () (=> tptp.cartprodpairmemEL @t554)) % 0.42/0.77 (define @t556 () (=> tptp.cartprodsndin @t555)) % 0.42/0.77 (define @t557 () (=> tptp.kpairsurjEq @t556)) % 0.42/0.77 (define @t558 () (=> tptp.ksndpairEq @t557)) % 0.42/0.77 (define @t559 () (=> tptp.ksndsingleton @t558)) % 0.42/0.77 (define @t560 () (=> tptp.setukpairinjR @t559)) % 0.42/0.77 (define @t561 () (=> tptp.setukpairinjR2 @t560)) % 0.42/0.77 (define @t562 () (=> tptp.upairequniteq @t561)) % 0.42/0.77 (define @t563 () (=> tptp.setukpairinjR1 @t562)) % 0.42/0.77 (define @t564 () (=> tptp.setukpairinjR12 @t563)) % 0.42/0.77 (define @t565 () (=> tptp.setukpairinjR11 @t564)) % 0.42/0.77 (define @t566 () (=> tptp.setukpairinjL @t565)) % 0.42/0.77 (define @t567 () (=> tptp.setukpairinjL2 @t566)) % 0.42/0.77 (define @t568 () (=> tptp.cartprodfstin @t567)) % 0.42/0.77 (define @t569 () (=> tptp.kfstpairEq @t568)) % 0.42/0.77 (define @t570 () (=> tptp.theprop @t569)) % 0.42/0.77 (define @t571 () (=> tptp.kfstsingleton @t570)) % 0.42/0.77 (define @t572 () (=> tptp.setukpairinjL1 @t571)) % 0.42/0.77 (define @t573 () (=> tptp.singletonsuniq @t572)) % 0.42/0.77 (define @t574 () (=> tptp.ex1I2 @t573)) % 0.42/0.77 (define @t575 () (=> tptp.ex1I @t574)) % 0.42/0.77 (define @t576 () (=> tptp.ex1E1 @t575)) % 0.42/0.77 (define @t577 () (=> tptp.singletonprop @t576)) % 0.42/0.77 (define @t578 () (=> tptp.setunionsingleton @t577)) % 0.42/0.77 (define @t579 () (=> tptp.setunionsingleton2 @t578)) % 0.42/0.77 (define @t580 () (=> tptp.setunionsingleton1 @t579)) % 0.42/0.77 (define @t581 () (=> tptp.setunionE2 @t580)) % 0.42/0.77 (define @t582 () (=> tptp.cartprodmempair @t581)) % 0.42/0.77 (define @t583 () (=> tptp.cartprodmempair1 @t582)) % 0.42/0.77 (define @t584 () (=> tptp.cartprodpairin @t583)) % 0.42/0.77 (define @t585 () (=> tptp.ubforcartprodlem3 @t584)) % 0.42/0.77 (define @t586 () (=> tptp.ubforcartprodlem2 @t585)) % 0.42/0.77 (define @t587 () (=> tptp.ubforcartprodlem1 @t586)) % 0.42/0.77 (define @t588 () (=> tptp.upairinpowunion @t587)) % 0.42/0.77 (define @t589 () (=> tptp.upairsubunion @t588)) % 0.42/0.77 (define @t590 () (=> tptp.upairset2E @t589)) % 0.42/0.77 (define @t591 () (=> tptp.singletoninpowunion @t590)) % 0.42/0.77 (define @t592 () (=> tptp.singletoninpowerset @t591)) % 0.42/0.77 (define @t593 () (=> tptp.singletonsubset @t592)) % 0.42/0.77 (define @t594 () (=> tptp.kpairp @t593)) % 0.42/0.77 (define @t595 () (=> tptp.kpairiskpair @t594)) % 0.42/0.77 (define @t596 () (=> tptp.setukpairIR @t595)) % 0.42/0.77 (define @t597 () (=> tptp.setukpairIL @t596)) % 0.42/0.77 (define @t598 () (=> tptp.secondinupair @t597)) % 0.42/0.77 (define @t599 () (=> tptp.symdiffIneg2 @t598)) % 0.42/0.77 (define @t600 () (=> tptp.symdiffIneg1 @t599)) % 0.42/0.77 (define @t601 () (=> tptp.symdiffI2 @t600)) % 0.42/0.77 (define @t602 () (=> tptp.symdiffI1 @t601)) % 0.42/0.77 (define @t603 () (=> tptp.symdiffE @t602)) % 0.42/0.77 (define @t604 () (=> tptp.setminusSubset1 @t603)) % 0.42/0.77 (define @t605 () (=> tptp.setminusLsub @t604)) % 0.42/0.77 (define @t606 () (=> tptp.setminusIRneg @t605)) % 0.42/0.77 (define @t607 () (=> tptp.setminusILneg @t606)) % 0.42/0.77 (define @t608 () (=> tptp.setminusELneg @t607)) % 0.42/0.77 (define @t609 () (=> tptp.setminusERneg @t608)) % 0.42/0.77 (define @t610 () (=> tptp.setminusSubset2 @t609)) % 0.42/0.77 (define @t611 () (=> tptp.setminusER @t610)) % 0.42/0.77 (define @t612 () (=> tptp.setminusEL @t611)) % 0.42/0.77 (define @t613 () (=> tptp.setminusI @t612)) % 0.42/0.77 (define @t614 () (=> tptp.bs114d @t613)) % 0.42/0.77 (define @t615 () (=> tptp.binintersectSubset1 @t614)) % 0.42/0.77 (define @t616 () (=> tptp.binintersectSubset4 @t615)) % 0.42/0.77 (define @t617 () (=> tptp.binintersectRsub @t616)) % 0.42/0.77 (define @t618 () (=> tptp.disjointsetsI1 @t617)) % 0.42/0.77 (define @t619 () (=> tptp.binintersectER @t618)) % 0.42/0.77 (define @t620 () (=> tptp.binintersectSubset3 @t619)) % 0.42/0.77 (define @t621 () (=> tptp.binintersectSubset2 @t620)) % 0.42/0.77 (define @t622 () (=> tptp.binintersectLsub @t621)) % 0.42/0.77 (define @t623 () (=> tptp.binintersectEL @t622)) % 0.42/0.77 (define @t624 () (=> tptp.binintersectSubset5 @t623)) % 0.42/0.77 (define @t625 () (=> tptp.binintersectI @t624)) % 0.42/0.77 (define @t626 () (=> tptp.binunionRsub @t625)) % 0.42/0.77 (define @t627 () (=> tptp.binunionLsub @t626)) % 0.42/0.77 (define @t628 () (=> tptp.binunionE @t627)) % 0.42/0.77 (define @t629 () (=> tptp.binunionEcases @t628)) % 0.42/0.77 (define @t630 () (=> tptp.binunionIR @t629)) % 0.42/0.77 (define @t631 () (=> tptp.upairset2IR @t630)) % 0.42/0.77 (define @t632 () (=> tptp.binunionIL @t631)) % 0.42/0.77 (define @t633 () (=> tptp.sepSubset @t632)) % 0.42/0.77 (define @t634 () (=> tptp.sepInPowerset @t633)) % 0.42/0.77 (define @t635 () (=> tptp.powersetsubset @t634)) % 0.42/0.77 (define @t636 () (=> tptp.inPowerset @t635)) % 0.42/0.77 (define @t637 () (=> tptp.powersetE1 @t636)) % 0.42/0.77 (define @t638 () (=> tptp.powersetI1 @t637)) % 0.42/0.77 (define @t639 () (=> tptp.subsetemptysetimpeq @t638)) % 0.42/0.77 (define @t640 () (=> tptp.setextsub @t639)) % 0.42/0.77 (define @t641 () (=> tptp.subset2powerset @t640)) % 0.42/0.77 (define @t642 () (=> tptp.setadjoinSub2 @t641)) % 0.42/0.77 (define @t643 () (=> tptp.setadjoinSub @t642)) % 0.42/0.77 (define @t644 () (=> tptp.subsetTrans @t643)) % 0.42/0.77 (define @t645 () (=> tptp.subsetRefl @t644)) % 0.42/0.77 (define @t646 () (=> tptp.notequalI2 @t645)) % 0.42/0.77 (define @t647 () (=> tptp.notequalI1 @t646)) % 0.42/0.77 (define @t648 () (=> tptp.notsubsetI @t647)) % 0.42/0.77 (define @t649 () (=> tptp.subsetE2 @t648)) % 0.42/0.77 (define @t650 () (=> tptp.subsetE @t649)) % 0.42/0.77 (define @t651 () (=> tptp.emptysetsubset @t650)) % 0.42/0.77 (define @t652 () (=> tptp.subsetI2 @t651)) % 0.42/0.77 (define @t653 () (=> tptp.eqimpsubset1 @t652)) % 0.42/0.77 (define @t654 () (=> tptp.eqimpsubset2 @t653)) % 0.42/0.77 (define @t655 () (=> tptp.subsetI1 @t654)) % 0.42/0.77 (define @t656 () (=> tptp.dsetconstr__Cong @t655)) % 0.42/0.77 (define @t657 () (=> tptp.descr__Cong @t656)) % 0.42/0.77 (define @t658 () (=> tptp.exuEu @t657)) % 0.42/0.77 (define @t659 () (=> tptp.omega__Cong @t658)) % 0.42/0.77 (define @t660 () (=> tptp.setunion__Cong @t659)) % 0.42/0.77 (define @t661 () (=> tptp.powerset__Cong @t660)) % 0.42/0.77 (define @t662 () (=> tptp.setadjoin__Cong @t661)) % 0.42/0.77 (define @t663 () (=> tptp.emptyset__Cong @t662)) % 0.42/0.77 (define @t664 () (=> tptp.exu__Cong @t663)) % 0.42/0.77 (define @t665 () (=> tptp.exuE3u @t664)) % 0.42/0.77 (define @t666 () (=> tptp.in__Cong @t665)) % 0.42/0.77 (define @t667 () (=> tptp.inCongP @t666)) % 0.42/0.77 (define @t668 () (=> tptp.exuI2 @t667)) % 0.42/0.77 (define @t669 () (=> tptp.exuI3 @t668)) % 0.42/0.77 (define @t670 () (=> tptp.exuI1 @t669)) % 0.42/0.77 (define @t671 () (=> tptp.notdallE @t670)) % 0.42/0.77 (define @t672 () (=> tptp.notdexE @t671)) % 0.42/0.77 (define @t673 () (=> tptp.prop2set2propI @t672)) % 0.42/0.77 (define @t674 () (=> tptp.prop2setI @t673)) % 0.42/0.77 (define @t675 () (=> tptp.quantDeMorgan4 @t674)) % 0.42/0.77 (define @t676 () (=> tptp.quantDeMorgan3 @t675)) % 0.42/0.77 (define @t677 () (=> tptp.quantDeMorgan2 @t676)) % 0.42/0.77 (define @t678 () (=> tptp.quantDeMorgan1 @t677)) % 0.42/0.77 (define @t679 () (=> tptp.vacuousDall @t678)) % 0.42/0.77 (define @t680 () (=> tptp.emptyE1 @t679)) % 0.42/0.77 (define @t681 () (=> tptp.upairsetIR @t680)) % 0.42/0.77 (define @t682 () (=> tptp.upairsetIL @t681)) % 0.42/0.77 (define @t683 () (=> tptp.upairsetE @t682)) % 0.42/0.77 (define @t684 () (=> tptp.singletonsswitch @t683)) % 0.42/0.77 (define @t685 () (=> tptp.eqinunit @t684)) % 0.42/0.77 (define @t686 () (=> tptp.notinsingleton @t685)) % 0.42/0.77 (define @t687 () (=> tptp.uniqinunit @t686)) % 0.42/0.77 (define @t688 () (=> tptp.nonemptyImpWitness @t687)) % 0.42/0.77 (define @t689 () (=> tptp.exuE2 @t688)) % 0.42/0.77 (define @t690 () (=> tptp.subPowSU @t689)) % 0.42/0.77 (define @t691 () (=> tptp.setunionE @t690)) % 0.42/0.77 (define @t692 () (=> tptp.setunionI @t691)) % 0.42/0.77 (define @t693 () (=> tptp.powersetE @t692)) % 0.42/0.77 (define @t694 () (=> tptp.emptyInPowerset @t693)) % 0.42/0.77 (define @t695 () (=> tptp.emptyinPowerset @t694)) % 0.42/0.77 (define @t696 () (=> tptp.powersetI @t695)) % 0.42/0.77 (define @t697 () (=> tptp.setoftrueEq @t696)) % 0.42/0.77 (define @t698 () (=> tptp.setadjoinOr @t697)) % 0.42/0.77 (define @t699 () (=> tptp.setadjoinE @t698)) % 0.42/0.77 (define @t700 () (=> tptp.setadjoinIR @t699)) % 0.42/0.77 (define @t701 () (=> tptp.emptyinunitempty @t700)) % 0.42/0.77 (define @t702 () (=> tptp.setadjoinIL @t701)) % 0.42/0.77 (define @t703 () (=> tptp.nonemptyI1 @t702)) % 0.42/0.77 (define @t704 () (=> tptp.nonemptyI @t703)) % 0.42/0.77 (define @t705 () (=> tptp.nonemptyE1 @t704)) % 0.42/0.77 (define @t706 () (=> tptp.setbeta @t705)) % 0.42/0.77 (define @t707 () (=> tptp.noeltsimpempty @t706)) % 0.42/0.77 (define @t708 () (=> tptp.emptyI @t707)) % 0.42/0.77 (define @t709 () (=> tptp.setext @t708)) % 0.42/0.77 (define @t710 () (=> tptp.exuE3e @t709)) % 0.42/0.77 (define @t711 () (=> tptp.notinemptyset @t710)) % 0.42/0.77 (define @t712 () (=> tptp.emptysetimpfalse @t711)) % 0.42/0.77 (define @t713 () (=> tptp.emptysetE @t712)) % 0.42/0.78 (define @t714 () (=> tptp.prop2setE @t713)) % 0.42/0.78 (define @t715 () (=> tptp.exuE1 @t714)) % 0.42/0.78 (define @t716 () (=> tptp.dsetconstrER @t715)) % 0.42/0.78 (define @t717 () (=> tptp.dsetconstrEL @t716)) % 0.42/0.78 (define @t718 () (=> tptp.dsetconstrI @t717)) % 0.42/0.78 (define @t719 () (=> tptp.descrp @t718)) % 0.42/0.78 (define @t720 () (=> tptp.wellorderingAx @t719)) % 0.42/0.78 (define @t721 () (=> tptp.foundationAx @t720)) % 0.42/0.78 (define @t722 () (=> tptp.replAx @t721)) % 0.42/0.78 (define @t723 () (=> tptp.omegaIndAx @t722)) % 0.42/0.78 (define @t724 () (=> tptp.omegaSAx @t723)) % 0.42/0.78 (define @t725 () (=> tptp.omega0Ax @t724)) % 0.42/0.78 (define @t726 () (=> tptp.setunionAx @t725)) % 0.42/0.78 (define @t727 () (=> tptp.powersetAx @t726)) % 0.42/0.78 (define @t728 () (=> tptp.setadjoinAx @t727)) % 0.42/0.78 (define @t729 () (=> tptp.emptysetAx @t728)) % 0.42/0.78 (define @t730 () (=> tptp.setextAx @t729)) % 0.42/0.78 (define @t731 () (or @t73 @t520)) % 0.42/0.78 (define @t732 () (tptp.dsetconstr @t1 @t414)) % 0.42/0.78 (define @t733 () (= @t430 @t732)) % 0.42/0.78 (define @t734 () (not @t733)) % 0.42/0.78 (define @t735 () (tptp.in @t429 @t732)) % 0.42/0.78 (define @t736 () (not @t735)) % 0.42/0.78 (define @t737 () (or @t736 @t734)) % 0.42/0.78 (define @t738 () (not (= @t732 @t430))) % 0.42/0.78 (define @t739 () (or @t736 @t738)) % 0.42/0.78 (define @t740 () (forall @t431 @t739)) % 0.42/0.78 (define @t741 () (not @t740)) % 0.42/0.78 (define @t742 () (tptp.dsetconstr @t1 @t52)) % 0.42/0.78 (define @t743 () (not (tptp.in @t429 @t742))) % 0.42/0.78 (define @t744 () (not (= @t430 @t742))) % 0.42/0.78 (define @t745 () (or @t743 @t744)) % 0.42/0.78 (define @t746 () (forall @t431 @t745)) % 0.42/0.78 (define @t747 () (not @t746)) % 0.42/0.78 (define @t748 () (tptp.setadjoin @t4 tptp.emptyset)) % 0.42/0.78 (define @t749 () (forall @t8 (or (not (tptp.in @t4 @t742)) (not (= @t748 @t742))))) % 0.42/0.78 (define @t750 () (not @t749)) % 0.42/0.78 (define @t751 () (lambda @t57 @t750)) % 0.42/0.78 (define @t752 () (tptp.dsetconstr @t2 @t52)) % 0.42/0.78 (define @t753 () (_ (lambda @t92 (not (forall @t8 (or (not (tptp.in @t4 @t752)) (not (= @t748 @t752)))))) @t1)) % 0.42/0.78 (define @t754 () (=> @t7 (_ @t753 @t414))) % 0.42/0.78 (define @t755 () (forall @t8 @t754)) % 0.42/0.78 (define @t756 () (lambda @t47 @t410)) % 0.42/0.78 (define @t757 () (lambda (@list @t1 @t42) @t410)) % 0.42/0.78 (define @t758 () (_ @t411 @t2)) % 0.42/0.78 (define @t759 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 0.42/0.78 (define @t760 () (_ @t52 @t759)) % 0.42/0.78 (define @t761 () (@list @t759)) % 0.42/0.78 (define @t762 () (lambda @t761 @t760)) % 0.42/0.78 (define @t763 () (tptp.dsetconstr @t2 @t762)) % 0.42/0.78 (define @t764 () (= @t748 @t763)) % 0.42/0.78 (define @t765 () (not @t764)) % 0.42/0.78 (define @t766 () (tptp.in @t4 @t763)) % 0.42/0.78 (define @t767 () (not @t766)) % 0.42/0.78 (define @t768 () (or @t767 @t765)) % 0.42/0.78 (define @t769 () (_ @t52 @t759)) % 0.42/0.78 (define @t770 () (lambda @t761 @t769)) % 0.42/0.78 (define @t771 () (_ @t60 @t770)) % 0.42/0.78 (define @t772 () (= @t748 @t771)) % 0.42/0.78 (define @t773 () (not @t772)) % 0.42/0.78 (define @t774 () (tptp.in @t4 @t771)) % 0.42/0.78 (define @t775 () (not @t774)) % 0.42/0.78 (define @t776 () (or @t775 @t773)) % 0.42/0.78 (define @t777 () (not (= @t771 @t748))) % 0.42/0.78 (define @t778 () (or @t775 @t777)) % 0.42/0.78 (define @t779 () (= @t90 @t748)) % 0.42/0.78 (define @t780 () (not @t779)) % 0.42/0.78 (define @t781 () (tptp.in @t4 @t90)) % 0.42/0.78 (define @t782 () (not @t781)) % 0.42/0.78 (define @t783 () (or @t782 @t780)) % 0.42/0.78 (define @t784 () (forall @t8 @t783)) % 0.42/0.78 (define @t785 () (not @t784)) % 0.42/0.78 (define @t786 () (not @t405)) % 0.42/0.78 (define @t787 () (or @t73 @t786)) % 0.42/0.78 (define @t788 () (forall @t8 (not @t406))) % 0.42/0.78 (define @t789 () (not @t788)) % 0.42/0.78 (define @t790 () (=> @t199 (_ @t533 @t197))) % 0.42/0.78 (define @t791 () (forall @t201 @t790)) % 0.42/0.78 (assume @p1 (= tptp.setextAx (forall @t9 (=> (forall @t8 (= @t7 @t6)) @t3)))) % 0.42/0.78 (assume @p2 (= tptp.emptysetAx @t11)) % 0.42/0.78 (assume @p3 (= tptp.setadjoinAx (forall @t20 (= @t19 @t16)))) % 0.42/0.78 (assume @p4 (= tptp.powersetAx (forall @t9 (= @t25 @t22)))) % 0.42/0.78 (assume @p5 (= tptp.setunionAx (forall @t30 (= @t29 (exists @t27 (and @t6 @t26)))))) % 0.42/0.78 (assume @p6 (= tptp.omega0Ax (_ @t31 tptp.omega))) % 0.42/0.78 (assume @p7 (= tptp.omegaSAx (forall @t8 (=> @t33 (_ @t32 tptp.omega))))) % 0.42/0.78 (assume @p8 (= tptp.omegaIndAx (forall @t34 (=> (and (_ @t31 @t2) (forall @t8 (=> (and @t33 @t7) (_ @t32 @t2)))) (forall @t8 (=> @t33 @t7)))))) % 0.42/0.78 (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)))))))))) % 0.42/0.78 (assume @p10 (= tptp.foundationAx (forall @t34 (=> @t38 (exists @t27 (and @t26 (not (exists @t8 (and @t6 @t7))))))))) % 0.42/0.78 (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))))))))))))) % 0.42/0.78 (assume @p12 (= tptp.descrp (forall @t57 (=> @t56 (_ @t52 @t55))))) % 0.42/0.78 (assume @p13 (= tptp.dsetconstrI (forall @t63 (=> @t7 (=> @t53 @t62))))) % 0.42/0.78 (assume @p14 (= tptp.dsetconstrEL (forall @t63 (=> @t62 @t7)))) % 0.42/0.78 (assume @p15 (= tptp.dsetconstrER (forall @t63 (=> @t62 @t53)))) % 0.42/0.78 (assume @p16 (= tptp.exuE1 (forall @t57 (=> @t56 @t65)))) % 0.42/0.78 (assume @p17 (= tptp.prop2setE (forall (@list @t66 @t4) (=> (_ @t5 @t67) @t66)))) % 0.42/0.78 (assume @p18 (= tptp.emptysetE (forall @t8 (=> @t10 (forall @t68 @t66))))) % 0.42/0.78 (assume @p19 (= tptp.emptysetimpfalse (forall @t8 (=> @t10 false)))) % 0.42/0.78 (assume @p20 (= tptp.notinemptyset @t11)) % 0.42/0.78 (assume @p21 (= tptp.exuE3e (forall @t57 (=> @t56 @t69)))) % 0.42/0.78 (assume @p22 (= tptp.setext (forall @t9 (=> @t71 (=> @t22 @t3))))) % 0.42/0.78 (assume @p23 (= tptp.emptyI @t74)) % 0.42/0.78 (assume @p24 (= tptp.noeltsimpempty @t74)) % 0.42/0.78 (assume @p25 (= tptp.setbeta (forall @t63 (=> @t7 (= @t62 @t53))))) % 0.42/0.78 (assume @p26 (= tptp.nonemptyE1 (forall @t34 (=> @t75 @t38)))) % 0.42/0.78 (assume @p27 (= tptp.nonemptyI (forall @t63 (=> @t7 (=> @t53 (_ tptp.nonempty @t61)))))) % 0.42/0.78 (assume @p28 (= tptp.nonemptyI1 (forall @t34 (=> @t38 @t75)))) % 0.42/0.78 (assume @p29 (= tptp.setadjoinIL (forall @t51 (_ @t5 (_ @t17 @t12))))) % 0.42/0.78 (assume @p30 (= tptp.emptyinunitempty (_ @t31 (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)))) % 0.42/0.78 (assume @p31 (= tptp.setadjoinIR (forall @t20 (=> @t14 @t19)))) % 0.42/0.78 (assume @p32 (= tptp.setadjoinE (forall @t20 (=> @t19 (forall @t68 (=> (=> @t15 @t66) (=> (=> @t14 @t66) @t66))))))) % 0.42/0.78 (assume @p33 (= tptp.setadjoinOr (forall @t20 (=> @t19 @t16)))) % 0.42/0.78 (assume @p34 (= tptp.setoftrueEq (forall @t34 (= (_ @t60 (lambda @t8 true)) @t2)))) % 0.42/0.78 (assume @p35 (= tptp.powersetI (forall @t9 (=> @t22 @t25)))) % 0.42/0.78 (assume @p36 (= tptp.emptyinPowerset @t76)) % 0.42/0.78 (assume @p37 (= tptp.emptyInPowerset @t76)) % 0.42/0.78 (assume @p38 (= tptp.powersetE (forall @t77 (=> @t25 @t21)))) % 0.42/0.78 (assume @p39 (= tptp.setunionI (forall @t78 (=> @t6 (=> @t26 @t29))))) % 0.42/0.78 (assume @p40 (= tptp.setunionE (forall @t30 (=> @t29 (forall @t68 (=> (forall @t27 (=> @t6 (=> @t26 @t66))) @t66)))))) % 0.42/0.78 (assume @p41 (= tptp.subPowSU (forall @t30 (=> @t7 (_ @t5 (_ tptp.powerset @t28)))))) % 0.42/0.78 (assume @p42 (= tptp.exuE2 (forall @t57 (=> @t56 @t79)))) % 0.42/0.78 (assume @p43 (= tptp.nonemptyImpWitness (forall @t34 (=> @t75 (exists @t8 (and @t7 true)))))) % 0.42/0.78 (assume @p44 (= tptp.uniqinunit (forall @t51 (=> @t82 @t50)))) % 0.42/0.78 (assume @p45 (= tptp.notinsingleton (forall @t51 (=> (not @t50) (not @t84))))) % 0.42/0.78 (assume @p46 (= tptp.eqinunit (forall @t51 (=> @t50 @t82)))) % 0.42/0.78 (assume @p47 (= tptp.singletonsswitch (forall @t51 (=> @t82 @t84)))) % 0.42/0.78 (assume @p48 (= tptp.upairsetE @t88)) % 0.42/0.78 (assume @p49 (= tptp.upairsetIL (forall @t51 (_ @t5 @t86)))) % 0.42/0.78 (assume @p50 (= tptp.upairsetIR @t89)) % 0.42/0.78 (assume @p51 (= tptp.emptyE1 (forall @t92 (=> @t91 (=> (= @t90 tptp.emptyset) false))))) % 0.42/0.78 (assume @p52 (= tptp.vacuousDall (forall (@list @t52 @t4) (=> @t10 @t53)))) % 0.42/0.78 (assume @p53 (= tptp.quantDeMorgan1 @t96)) % 0.42/0.78 (assume @p54 (= tptp.quantDeMorgan2 (forall @t92 (=> @t98 @t97)))) % 0.42/0.78 (assume @p55 (= tptp.quantDeMorgan3 @t99)) % 0.42/0.78 (assume @p56 (= tptp.quantDeMorgan4 (forall @t92 (=> @t94 @t95)))) % 0.42/0.78 (assume @p57 (= tptp.prop2setI (forall @t68 (=> @t66 (_ @t31 @t67))))) % 0.42/0.78 (assume @p58 (= tptp.prop2set2propI (forall @t68 (=> @t66 (_ tptp.set2prop @t67))))) % 0.42/0.78 (assume @p59 (= tptp.notdexE @t99)) % 0.42/0.78 (assume @p60 (= tptp.notdallE @t96)) % 0.42/0.78 (assume @p61 (= tptp.exuI1 (forall @t57 (=> @t65 @t56)))) % 0.42/0.78 (assume @p62 (= tptp.exuI3 (forall @t57 (=> @t69 (=> @t101 @t56))))) % 0.42/0.78 (assume @p63 (= tptp.exuI2 (forall @t57 (=> @t79 @t56)))) % 0.42/0.78 (assume @p64 (= tptp.inCongP (forall @t9 (=> @t3 (forall @t51 (=> @t50 (=> @t7 @t102))))))) % 0.42/0.78 (assume @p65 (= tptp.in__Cong (forall @t9 (=> @t3 (forall @t51 (=> @t50 (= @t7 @t102))))))) % 0.42/0.78 (assume @p66 (= tptp.exuE3u @t103)) % 0.42/0.78 (assume @p67 (= tptp.exu__Cong (forall @t109 (=> @t108 (= @t56 @t106))))) % 0.42/0.78 (assume @p68 (= tptp.emptyset__Cong (= tptp.emptyset tptp.emptyset))) % 0.42/0.78 (assume @p69 (= tptp.setadjoin__Cong (forall @t51 (=> @t50 (forall @t112 (=> @t111 (= (_ @t17 @t85) (_ @t80 @t110)))))))) % 0.42/0.78 (assume @p70 (= tptp.powerset__Cong (forall @t9 (=> @t3 (= @t23 @t113))))) % 0.42/0.78 (assume @p71 (= tptp.setunion__Cong (forall @t9 (=> @t3 (= @t28 (_ tptp.setunion @t1)))))) % 0.42/0.78 (assume @p72 (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 0.42/0.78 (assume @p73 (= tptp.exuEu @t103)) % 0.42/0.78 (assume @p74 (= tptp.descr__Cong (forall @t109 (=> @t108 (=> @t56 (=> @t106 (= @t55 (_ tptp.descr @t105)))))))) % 0.42/0.78 (assume @p75 (= tptp.dsetconstr__Cong (forall @t9 (=> @t3 (forall @t109 (=> (forall @t8 (=> @t7 (forall @t36 (=> @t102 @t107)))) (= @t90 (_ @t114 @t105)))))))) % 0.42/0.78 (assume @p76 (= tptp.subsetI1 @t117)) % 0.42/0.78 (assume @p77 (= tptp.eqimpsubset2 (forall @t9 (=> @t3 @t119)))) % 0.42/0.78 (assume @p78 (= tptp.eqimpsubset1 (forall @t9 (=> @t3 @t116)))) % 0.42/0.78 (assume @p79 (= tptp.subsetI2 @t117)) % 0.42/0.78 (assume @p80 (= tptp.emptysetsubset (forall @t34 (_ (_ tptp.subset tptp.emptyset) @t2)))) % 0.42/0.78 (assume @p81 (= tptp.subsetE (forall @t77 (=> @t116 @t70)))) % 0.42/0.78 (assume @p82 (= tptp.subsetE2 (forall @t77 (=> @t116 @t121)))) % 0.42/0.78 (assume @p83 (= tptp.notsubsetI (forall @t77 (=> @t7 (=> @t120 @t122))))) % 0.42/0.78 (assume @p84 (= tptp.notequalI1 (forall @t9 (=> @t122 @t123)))) % 0.42/0.78 (assume @p85 (= tptp.notequalI2 (forall @t77 (=> @t7 (=> @t120 @t123))))) % 0.42/0.78 (assume @p86 (= tptp.subsetRefl (forall @t34 (_ @t115 @t2)))) % 0.42/0.78 (assume @p87 (= tptp.subsetTrans (forall @t124 (=> @t116 (=> (_ @t118 @t42) (_ @t115 @t42)))))) % 0.42/0.78 (assume @p88 (= tptp.setadjoinSub (forall (@list @t4 @t2) (_ @t115 @t18)))) % 0.42/0.78 (assume @p89 (= tptp.setadjoinSub2 (forall @t78 (=> @t116 (_ @t115 (_ @t17 @t1)))))) % 0.42/0.78 (assume @p90 (= tptp.subset2powerset (forall @t9 (=> @t116 (_ @t125 @t113))))) % 0.42/0.78 (assume @p91 (= tptp.setextsub (forall @t9 (=> @t116 (=> @t119 @t3))))) % 0.42/0.78 (assume @p92 (= tptp.subsetemptysetimpeq (forall @t34 (=> (_ @t115 tptp.emptyset) @t72)))) % 0.42/0.78 (assume @p93 (= tptp.powersetI1 (forall @t9 (=> @t119 @t25)))) % 0.42/0.78 (assume @p94 (= tptp.powersetE1 (forall @t9 (=> @t25 @t119)))) % 0.42/0.78 (assume @p95 (= tptp.inPowerset (forall @t34 (_ @t125 @t23)))) % 0.42/0.78 (assume @p96 (= tptp.powersetsubset (forall @t9 (=> @t116 (_ (_ tptp.subset @t23) @t113))))) % 0.42/0.78 (assume @p97 (= tptp.sepInPowerset (forall @t92 (_ (_ tptp.in @t90) @t23)))) % 0.42/0.78 (assume @p98 (= tptp.sepSubset (forall @t92 (_ (_ tptp.subset @t90) @t2)))) % 0.42/0.78 (assume @p99 (= tptp.binunionIL (forall @t77 (=> @t7 @t127)))) % 0.42/0.78 (assume @p100 (= tptp.upairset2IR @t89)) % 0.42/0.78 (assume @p101 (= tptp.binunionIR (forall @t77 (=> @t6 @t127)))) % 0.42/0.78 (assume @p102 (= tptp.binunionEcases (forall (@list @t2 @t1 @t4 @t66) (=> @t127 (=> (=> @t7 @t66) (=> @t128 @t66)))))) % 0.42/0.78 (assume @p103 (= tptp.binunionE (forall @t77 (=> @t127 (or @t7 @t6))))) % 0.42/0.78 (assume @p104 (= tptp.binunionLsub (forall @t9 (_ @t115 @t126)))) % 0.42/0.78 (assume @p105 (= tptp.binunionRsub (forall @t9 (_ @t118 @t126)))) % 0.42/0.78 (assume @p106 (= tptp.binintersectI (forall @t77 (=> @t7 (=> @t6 @t131))))) % 0.42/0.78 (assume @p107 (= tptp.binintersectSubset5 (forall @t124 (=> (_ @t132 @t2) (=> (_ @t132 @t1) (_ @t132 @t130)))))) % 0.42/0.78 (assume @p108 (= tptp.binintersectEL (forall @t77 (=> @t131 @t7)))) % 0.42/0.78 (assume @p109 (= tptp.binintersectLsub (forall @t9 (_ @t133 @t2)))) % 0.42/0.78 (assume @p110 (= tptp.binintersectSubset2 (forall @t9 (=> @t116 @t134)))) % 0.42/0.78 (assume @p111 (= tptp.binintersectSubset3 (forall @t9 (=> @t135 @t119)))) % 0.42/0.78 (assume @p112 (= tptp.binintersectER (forall @t77 (=> @t131 @t6)))) % 0.42/0.78 (assume @p113 (= tptp.disjointsetsI1 (forall @t9 (=> (not (exists @t8 (and @t7 @t6))) (= @t130 tptp.emptyset))))) % 0.42/0.78 (assume @p114 (= tptp.binintersectRsub (forall @t9 (_ @t133 @t1)))) % 0.42/0.78 (assume @p115 (= tptp.binintersectSubset4 (forall @t9 (=> @t119 @t135)))) % 0.42/0.78 (assume @p116 (= tptp.binintersectSubset1 (forall @t9 (=> @t134 @t116)))) % 0.42/0.78 (assume @p117 (= tptp.bs114d (forall @t124 (= (_ @t129 (_ (_ tptp.binunion @t1) @t42)) (_ (_ tptp.binunion @t130) (_ @t129 @t42)))))) % 0.42/0.78 (assume @p118 (= tptp.setminusI (forall @t77 (=> @t7 (=> @t120 @t137))))) % 0.42/0.78 (assume @p119 (= tptp.setminusEL (forall @t77 (=> @t137 @t7)))) % 0.42/0.78 (assume @p120 (= tptp.setminusER (forall @t77 (=> @t137 @t120)))) % 0.42/0.78 (assume @p121 (= tptp.setminusSubset2 (forall @t9 (=> @t116 @t138)))) % 0.42/0.78 (assume @p122 (= tptp.setminusERneg (forall @t77 (=> @t139 @t70)))) % 0.42/0.78 (assume @p123 (= tptp.setminusELneg (forall @t77 (=> @t139 @t121)))) % 0.42/0.78 (assume @p124 (= tptp.setminusILneg (forall @t77 (=> @t73 @t139)))) % 0.42/0.78 (assume @p125 (= tptp.setminusIRneg (forall @t77 (=> @t6 @t139)))) % 0.42/0.78 (assume @p126 (= tptp.setminusLsub (forall @t9 (_ (_ tptp.subset @t136) @t2)))) % 0.42/0.78 (assume @p127 (= tptp.setminusSubset1 (forall @t9 (=> @t138 @t116)))) % 0.42/0.78 (assume @p128 (= tptp.symdiffE (forall @t77 (=> @t140 (forall @t68 (=> (=> @t7 (=> @t120 @t66)) (=> (=> @t73 @t128) @t66))))))) % 0.42/0.78 (assume @p129 (= tptp.symdiffI1 (forall @t77 (=> @t7 (=> @t120 @t140))))) % 0.42/0.78 (assume @p130 (= tptp.symdiffI2 (forall @t77 (=> @t73 (=> @t6 @t140))))) % 0.42/0.78 (assume @p131 (= tptp.symdiffIneg1 (forall @t77 (=> @t7 (=> @t6 @t141))))) % 0.42/0.78 (assume @p132 (= tptp.symdiffIneg2 (forall @t77 (=> @t73 (=> @t120 @t141))))) % 0.42/0.78 (assume @p133 (= tptp.secondinupair @t89)) % 0.42/0.78 (assume @p134 (= tptp.setukpairIL (forall @t51 (_ @t5 @t144)))) % 0.42/0.78 (assume @p135 (= tptp.setukpairIR (forall @t51 (_ @t13 @t144)))) % 0.42/0.78 (assume @p136 (= tptp.kpairiskpair (forall @t51 (_ tptp.iskpair @t143)))) % 0.42/0.78 (assume @p137 (= tptp.kpairp (forall @t51 (_ tptp.iskpair @t145)))) % 0.42/0.78 (assume @p138 (= tptp.singletonsubset (forall @t30 (=> @t7 (_ (_ tptp.subset @t83) @t2))))) % 0.42/0.78 (assume @p139 (= tptp.singletoninpowerset (forall @t30 (=> @t7 (_ @t146 @t23))))) % 0.42/0.78 (assume @p140 (= tptp.singletoninpowunion (forall @t77 (=> @t7 (_ @t146 @t147))))) % 0.42/0.78 (assume @p141 (= tptp.upairset2E @t88)) % 0.42/0.78 (assume @p142 (= tptp.upairsubunion (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.subset @t86) @t126))))))) % 0.42/0.78 (assume @p143 (= tptp.upairinpowunion (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.in @t86) @t147))))))) % 0.42/0.78 (assume @p144 (= tptp.ubforcartprodlem1 (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.subset @t143) @t147))))))) % 0.42/0.78 (assume @p145 (= tptp.ubforcartprodlem2 (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ (_ tptp.in @t143) @t148))))))) % 0.42/0.78 (assume @p146 (= tptp.ubforcartprodlem3 (forall @t77 (=> @t7 (forall @t36 (=> @t102 (_ @t149 @t148))))))) % 0.42/0.78 (assume @p147 (= tptp.cartprodpairin (forall @t77 (=> @t7 (forall @t36 (=> @t102 @t151)))))) % 0.42/0.78 (assume @p148 (= tptp.cartprodmempair1 (forall @t153 (=> @t152 (exists @t8 (and @t7 (exists @t36 (and @t102 (= @t110 @t145))))))))) % 0.42/0.78 (assume @p149 (= tptp.cartprodmempair (forall @t153 (=> @t152 @t154)))) % 0.42/0.78 (assume @p150 (= tptp.setunionE2 (forall @t30 (=> @t29 (exists @t156 (and (_ (_ tptp.in @t155) @t2) (_ @t5 @t155))))))) % 0.42/0.78 (assume @p151 (= tptp.setunionsingleton1 (forall @t34 (_ (_ tptp.subset @t157) @t2)))) % 0.42/0.78 (assume @p152 (= tptp.setunionsingleton2 (forall @t34 (_ @t115 @t157)))) % 0.42/0.78 (assume @p153 (= tptp.setunionsingleton (forall @t8 (= (_ tptp.setunion @t83) @t4)))) % 0.42/0.78 (assume @p154 (= tptp.singletonprop (forall @t92 (=> @t159 (=> @t91 @t158))))) % 0.42/0.78 (assume @p155 (= tptp.ex1E1 (forall @t92 (=> @t161 @t91)))) % 0.42/0.78 (assume @p156 (= tptp.ex1I (forall @t63 (=> @t7 (=> @t53 (=> (forall @t36 (=> @t14 (=> @t58 @t15))) (_ @t160 @t59))))))) % 0.42/0.78 (assume @p157 (= tptp.ex1I2 (forall @t92 (=> @t159 (=> @t91 @t161))))) % 0.42/0.78 (assume @p158 (= tptp.singletonsuniq (forall @t51 (=> (= @t83 @t81) @t50)))) % 0.42/0.78 (assume @p159 (= tptp.setukpairinjL1 (forall @t87 (=> (_ (_ tptp.in @t164) @t143) @t162)))) % 0.42/0.78 (assume @p160 (= tptp.kfstsingleton (forall @t166 (=> @t154 (_ tptp.singleton (_ @t165 (lambda @t8 (_ @t146 @t110)))))))) % 0.42/0.78 (assume @p161 (= tptp.theprop (forall @t156 (=> (_ tptp.singleton @t155) (_ (_ tptp.in (_ tptp.setunion @t155)) @t155))))) % 0.42/0.78 (assume @p162 (= tptp.kfstpairEq (forall @t51 @t167))) % 0.42/0.78 (assume @p163 (= tptp.cartprodfstin (forall @t153 (=> @t152 (_ (_ tptp.in @t168) @t2))))) % 0.42/0.78 (assume @p164 (= tptp.setukpairinjL2 (forall @t170 (=> @t169 @t162)))) % 0.42/0.78 (assume @p165 (= tptp.setukpairinjL (forall @t170 (=> @t171 @t162)))) % 0.42/0.78 (assume @p166 (= tptp.setukpairinjR11 (forall @t51 (=> @t50 (= @t86 @t83))))) % 0.42/0.78 (assume @p167 (= tptp.setukpairinjR12 (forall @t51 (=> @t50 (= @t143 (_ @t142 tptp.emptyset)))))) % 0.42/0.78 (assume @p168 (= tptp.setukpairinjR1 (forall @t170 (=> @t169 (=> @t111 @t172))))) % 0.42/0.78 (assume @p169 (= tptp.upairequniteq (forall @t87 (=> (= @t86 @t164) @t50)))) % 0.42/0.78 (assume @p170 (= tptp.setukpairinjR2 (forall @t170 (=> @t169 @t172)))) % 0.42/0.78 (assume @p171 (= tptp.setukpairinjR (forall @t170 (=> @t171 @t172)))) % 0.42/0.78 (assume @p172 (= tptp.ksndsingleton (forall @t166 (=> @t154 (_ tptp.singleton (_ @t165 (lambda @t8 (= @t110 (_ @t173 @t4))))))))) % 0.42/0.78 (assume @p173 (= tptp.ksndpairEq (forall @t51 @t174))) % 0.42/0.78 (assume @p174 (= tptp.kpairsurjEq (forall @t166 (=> @t154 @t176)))) % 0.42/0.78 (assume @p175 (= tptp.cartprodsndin (forall @t153 (=> @t152 (_ (_ tptp.in @t175) @t1))))) % 0.42/0.78 (assume @p176 (= tptp.cartprodpairmemEL (forall @t177 (=> @t151 @t7)))) % 0.42/0.78 (assume @p177 (= tptp.cartprodpairmemER (forall @t177 (=> @t151 @t102)))) % 0.42/0.78 (assume @p178 (= tptp.cartprodmempaircEq (forall @t77 (=> @t7 (forall @t36 (=> @t102 (= @t145 @t145))))))) % 0.42/0.78 (assume @p179 (= tptp.cartprodfstpairEq (forall @t77 (=> @t7 (forall @t36 (=> @t102 @t167)))))) % 0.42/0.78 (assume @p180 (= tptp.cartprodsndpairEq (forall @t77 (=> @t7 (forall @t36 (=> @t102 @t174)))))) % 0.42/0.78 (assume @p181 (= tptp.cartprodpairsurjEq (forall @t153 (=> @t152 @t176)))) % 0.42/0.78 (assume @p182 (= tptp.dpsetconstrI (forall @t180 (=> @t7 (forall @t36 (=> @t102 (=> @t37 @t179))))))) % 0.42/0.78 (assume @p183 (= tptp.dpsetconstrSub (forall @t182 (_ (_ tptp.subset @t181) @t150)))) % 0.42/0.78 (assume @p184 (= tptp.setOfPairsIsBReln (forall @t182 (_ @t183 @t181)))) % 0.42/0.78 (assume @p185 (= tptp.dpsetconstrERa (forall @t180 (=> @t7 (forall @t36 (=> @t102 @t184)))))) % 0.42/0.78 (assume @p186 (= tptp.dpsetconstrEL1 (forall @t185 (=> @t179 @t7)))) % 0.42/0.78 (assume @p187 (= tptp.dpsetconstrEL2 (forall @t185 (=> @t179 @t102)))) % 0.42/0.78 (assume @p188 (= tptp.dpsetconstrER (forall @t185 @t184))) % 0.42/0.78 (assume @p189 (= tptp.funcImageSingleton (forall @t190 (=> @t189 (forall @t8 (=> @t7 (_ tptp.singleton @t187))))))) % 0.42/0.78 (assume @p190 (= tptp.apProp (forall @t190 (=> @t189 (forall @t8 (=> @t7 (_ (_ tptp.in @t191) @t1))))))) % 0.42/0.78 (assume @p191 (= tptp.app (forall @t190 (=> @t189 @t192)))) % 0.42/0.78 (assume @p192 (= tptp.infuncsetfunc (forall @t190 (=> @t193 @t189)))) % 0.42/0.78 (assume @p193 (= tptp.ap2p (forall @t190 (=> @t193 @t192)))) % 0.42/0.78 (assume @p194 (= tptp.funcinfuncset (forall @t190 (=> @t189 @t193)))) % 0.42/0.78 (assume @p195 @t203) % 0.42/0.78 (assume @p196 @t402) % 0.42/0.78 (assume @p197 true) % 0.42/0.78 (step @p198 (= tptp.exu @t403) :rule refl :args (@t403)) % 0.42/0.78 (step @p199 (= tptp.nonempty @t404) :rule refl :args (@t404)) % 0.42/0.78 (step @p200 (= tptp.singleton @t408) :rule refl :args (@t408)) % 0.42/0.78 (step @p201 (= tptp.ex1 @t409) :rule refl :args (@t409)) % 0.42/0.78 (step @p202 (= tptp.breln @t411) :rule refl :args (@t411)) % 0.42/0.78 (step @p203 (= tptp.func @t419) :rule refl :args (@t419)) % 0.42/0.78 (step @p204 (= tptp.ap @t420) :rule refl :args (@t420)) % 0.42/0.78 (step @p205 (= tptp.lam @t421) :rule refl :args (@t421)) % 0.42/0.78 (step @p206 :rule quant-merge-prenex :args ((= (forall @t201 @t448) @t446))) % 0.42/0.78 (step @p207 :rule alpha_equiv :args (@t449 (@list @t427) @t450)) % 0.42/0.78 (step @p208 :rule quant-unused-vars :args ((= @t451 @t438))) % 0.42/0.78 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t452)) % 0.42/0.78 (step @p210 :rule quant-miniscope-and :args ((= @t453 @t452))) % 0.42/0.78 (step @p211 :rule trans :premises (@p210 @p209)) % 0.42/0.78 (step @p212 :rule refl :args (@t444)) % 0.42/0.78 (step @p213 :rule nary_cong :premises (@p212 @p211) :args (@t454)) % 0.42/0.78 (step @p214 :rule quant-miniscope-or :args ((= @t448 @t454))) % 0.42/0.78 (step @p215 :rule trans :premises (@p214 @p213)) % 0.42/0.78 (step @p216 :rule symm :premises (@p215)) % 0.42/0.78 (step @p217 :rule cong :premises (@p216) :args ((forall @t201 (or @t444 (and @t438 @t457))))) % 0.42/0.78 (step @p218 :rule trans :premises (@p217 @p206)) % 0.42/0.78 (step @p219 :rule refl :args (@t457)) % 0.42/0.78 (step @p220 :rule refl :args ((tptp.subset @t460 @t150))) % 0.42/0.78 (step @p221 :rule refl :args (@t433)) % 0.42/0.78 (step @p222 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t459))) % 0.42/0.78 (step @p223 :rule refl :args (@t434)) % 0.42/0.78 (step @p224 :rule refl :args (@t12)) % 0.42/0.78 (step @p225 :rule cong :premises (@p224 @p223) :args (@t435)) % 0.42/0.78 (step @p226 :rule cong :premises (@p225) :args (@t436)) % 0.42/0.78 (step @p227 :rule refl :args (@t1)) % 0.42/0.78 (step @p228 :rule refl :args (@t2)) % 0.42/0.78 (step @p229 :rule cong :premises (@p228 @p227 @p226) :args (@t437)) % 0.42/0.78 (step @p230 :rule trans :premises (@p229 @p222)) % 0.42/0.78 (step @p231 :rule cong :premises (@p230 @p221) :args (@t438)) % 0.42/0.78 (step @p232 :rule trans :premises (@p231 @p220)) % 0.42/0.78 (step @p233 :rule refl :args (tptp.subset)) % 0.42/0.78 (step @p234 :rule ho_cong :premises (@p233 @p230)) % 0.42/0.78 (step @p235 :rule ho_cong :premises (@p234 @p221)) % 0.42/0.78 (step @p236 :rule cong :premises (@p235 @p232) :args ((= (_ (_ tptp.subset @t437) @t433) @t438))) % 0.42/0.78 (step @p237 :rule symm :premises (@p236)) % 0.42/0.78 (step @p238 :rule refl :args (@t461)) % 0.42/0.78 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.42/0.78 (step @p240 :rule refl :args (@t150)) % 0.42/0.78 (step @p241 :rule cong :premises (@p240 @p221) :args ((= @t150 @t433))) % 0.42/0.78 (step @p242 :rule symm :premises (@p241)) % 0.42/0.78 (step @p243 :rule eq_resolve :premises (@p240 @p242)) % 0.42/0.78 (step @p244 :rule refl :args (@t178)) % 0.42/0.78 (step @p245 :rule ho_cong :premises (@p244 @p226)) % 0.42/0.78 (step @p246 :rule cong :premises (@p245 @p230) :args ((= (_ @t178 @t436) @t437))) % 0.42/0.78 (step @p247 :rule symm :premises (@p246)) % 0.42/0.78 (step @p248 :rule refl :args (@t460)) % 0.42/0.78 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 0.42/0.78 (step @p250 :rule refl :args (@t195)) % 0.42/0.78 (step @p251 :rule cong :premises (@p250 @p223) :args ((= @t195 @t434))) % 0.42/0.78 (step @p252 :rule symm :premises (@p251)) % 0.42/0.78 (step @p253 :rule eq_resolve :premises (@p250 @p252)) % 0.42/0.78 (step @p254 :rule cong :premises (@p224 @p253) :args (@t458)) % 0.42/0.78 (step @p255 :rule cong :premises (@p254) :args (@t459)) % 0.42/0.78 (step @p256 :rule ho_cong :premises (@p244 @p255)) % 0.42/0.78 (step @p257 :rule trans :premises (@p256 @p249)) % 0.42/0.78 (step @p258 :rule ho_cong :premises (@p233 @p257)) % 0.42/0.78 (step @p259 :rule ho_cong :premises (@p258 @p243)) % 0.42/0.78 (step @p260 :rule trans :premises (@p259 @p239)) % 0.42/0.78 (step @p261 :rule nary_cong :premises (@p260 @p219) :args (@t462)) % 0.42/0.78 (step @p262 :rule nary_cong :premises (@p212 @p261) :args (@t463)) % 0.42/0.78 (step @p263 :rule cong :premises (@p262) :args ((forall @t201 @t463))) % 0.42/0.78 (step @p264 :rule trans :premises (@p263 @p218)) % 0.42/0.78 (step @p265 :rule bool-impl-elim :args (@t443 @t462)) % 0.42/0.78 (step @p266 :rule cong :premises (@p265) :args ((forall @t201 (=> @t443 @t462)))) % 0.42/0.78 (step @p267 :rule trans :premises (@p266 @p264)) % 0.42/0.78 (step @p268 :rule eq-symm :args (@t423 @t424)) % 0.42/0.78 (step @p269 :rule cong :premises (@p268) :args (@t464)) % 0.42/0.78 (step @p270 :rule refl :args (@t1)) % 0.42/0.78 (step @p271 :rule refl :args (@t2)) % 0.42/0.78 (step @p272 :rule cong :premises (@p271 @p270 @p269) :args (@t465)) % 0.42/0.78 (step @p273 :rule refl :args (@t455)) % 0.42/0.78 (step @p274 :rule cong :premises (@p273 @p272) :args (@t466)) % 0.42/0.78 (step @p275 :rule cong :premises (@p274) :args (@t467)) % 0.42/0.78 (step @p276 :rule cong :premises (@p270 @p275) :args (@t468)) % 0.42/0.78 (step @p277 :rule refl :args (@t430)) % 0.42/0.78 (step @p278 :rule cong :premises (@p277 @p276) :args (@t469)) % 0.42/0.78 (step @p279 :rule cong :premises (@p278) :args (@t470)) % 0.42/0.78 (step @p280 :rule refl :args (@t429)) % 0.42/0.78 (step @p281 :rule cong :premises (@p280 @p276) :args (@t471)) % 0.42/0.78 (step @p282 :rule cong :premises (@p281) :args (@t472)) % 0.42/0.78 (step @p283 :rule nary_cong :premises (@p282 @p279) :args (@t473)) % 0.42/0.78 (step @p284 :rule cong :premises (@p283) :args (@t474)) % 0.42/0.78 (step @p285 :rule cong :premises (@p284) :args (@t475)) % 0.42/0.78 (step @p286 :rule refl :args (@t442)) % 0.42/0.78 (step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t476)) % 0.42/0.78 (step @p288 :rule cong :premises (@p287) :args ((forall @t8 @t476))) % 0.42/0.78 (step @p289 :rule alpha_equiv :args (@t479 @t450 (@list @t422))) % 0.42/0.78 (step @p290 :rule cong :premises (@p228 @p227 @p289) :args (@t480)) % 0.42/0.78 (step @p291 :rule refl :args (@t455)) % 0.42/0.78 (step @p292 :rule cong :premises (@p291 @p290) :args (@t481)) % 0.42/0.78 (step @p293 :rule cong :premises (@p292) :args (@t482)) % 0.42/0.78 (step @p294 :rule cong :premises (@p227 @p293) :args (@t483)) % 0.42/0.78 (step @p295 :rule refl :args (@t430)) % 0.42/0.78 (step @p296 :rule cong :premises (@p295 @p294) :args (@t484)) % 0.42/0.78 (step @p297 :rule cong :premises (@p296) :args (@t485)) % 0.42/0.78 (step @p298 :rule refl :args (@t429)) % 0.42/0.78 (step @p299 :rule cong :premises (@p298 @p294) :args (@t486)) % 0.42/0.78 (step @p300 :rule cong :premises (@p299) :args (@t487)) % 0.42/0.78 (step @p301 :rule nary_cong :premises (@p300 @p297) :args (@t488)) % 0.42/0.78 (step @p302 :rule cong :premises (@p301) :args (@t489)) % 0.42/0.78 (step @p303 :rule cong :premises (@p302) :args (@t490)) % 0.42/0.78 (step @p304 :rule refl :args (@t442)) % 0.42/0.78 (step @p305 :rule nary_cong :premises (@p304 @p303) :args (@t491)) % 0.42/0.78 (step @p306 :rule cong :premises (@p305) :args ((forall @t8 @t491))) % 0.42/0.78 (step @p307 :rule trans :premises (@p306 @p288)) % 0.42/0.78 (step @p308 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t493))) % 0.42/0.78 (step @p309 :rule refl :args (@t424)) % 0.42/0.78 (step @p310 :rule cong :premises (@p223 @p309) :args (@t477)) % 0.42/0.78 (step @p311 :rule cong :premises (@p310) :args (@t479)) % 0.42/0.78 (step @p312 :rule cong :premises (@p228 @p227 @p311) :args (@t480)) % 0.42/0.78 (step @p313 :rule trans :premises (@p312 @p308)) % 0.42/0.78 (step @p314 :rule ho_cong :premises (@p244 @p311)) % 0.42/0.78 (step @p315 :rule cong :premises (@p314 @p313) :args ((= (_ @t178 @t479) @t480))) % 0.42/0.78 (step @p316 :rule symm :premises (@p315)) % 0.42/0.78 (step @p317 :rule refl :args (@t494)) % 0.42/0.78 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 0.42/0.78 (step @p319 :rule cong :premises (@p253 @p309) :args (@t492)) % 0.42/0.78 (step @p320 :rule cong :premises (@p319) :args (@t493)) % 0.42/0.78 (step @p321 :rule ho_cong :premises (@p244 @p320)) % 0.42/0.78 (step @p322 :rule trans :premises (@p321 @p318)) % 0.42/0.78 (step @p323 :rule cong :premises (@p291 @p322) :args (@t495)) % 0.42/0.78 (step @p324 :rule cong :premises (@p323) :args (@t496)) % 0.42/0.78 (step @p325 :rule cong :premises (@p227 @p324) :args (@t497)) % 0.42/0.78 (step @p326 :rule cong :premises (@p295 @p325) :args (@t498)) % 0.42/0.78 (step @p327 :rule cong :premises (@p326) :args (@t499)) % 0.42/0.78 (step @p328 :rule cong :premises (@p298 @p325) :args (@t500)) % 0.42/0.78 (step @p329 :rule cong :premises (@p328) :args (@t501)) % 0.42/0.78 (step @p330 :rule nary_cong :premises (@p329 @p327) :args (@t502)) % 0.42/0.78 (step @p331 :rule cong :premises (@p330) :args ((forall @t431 @t502))) % 0.42/0.78 (step @p332 :rule eq-symm :args (@t424 @t195)) % 0.42/0.78 (step @p333 :rule cong :premises (@p332) :args (@t503)) % 0.42/0.78 (step @p334 :rule refl :args (@t178)) % 0.42/0.78 (step @p335 :rule ho_cong :premises (@p334 @p333)) % 0.42/0.78 (step @p336 :rule cong :premises (@p273 @p335) :args (@t504)) % 0.42/0.78 (step @p337 :rule cong :premises (@p336) :args (@t505)) % 0.42/0.78 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 0.42/0.78 ; trust TRUST_THEORY_REWRITE % 0.42/0.78 (step @p338 :rule trust :premises () :args ((= @t506 @t505))) % 0.42/0.78 (step @p339 :rule trans :premises (@p338 @p337)) % 0.42/0.78 (step @p340 :rule cong :premises (@p270 @p339) :args (@t507)) % 0.42/0.78 (step @p341 :rule cong :premises (@p277 @p340) :args (@t508)) % 0.42/0.78 (step @p342 :rule cong :premises (@p341) :args (@t509)) % 0.42/0.78 (step @p343 :rule cong :premises (@p280 @p340) :args (@t510)) % 0.42/0.78 (step @p344 :rule cong :premises (@p343) :args (@t511)) % 0.42/0.78 (step @p345 :rule nary_cong :premises (@p344 @p342) :args (@t512)) % 0.42/0.78 (step @p346 :rule cong :premises (@p345) :args (@t513)) % 0.42/0.78 (step @p347 :rule trans :premises (@p346 @p331)) % 0.42/0.78 (step @p348 :rule cong :premises (@p347) :args (@t514)) % 0.42/0.78 (step @p349 :rule nary_cong :premises (@p286 @p348) :args (@t515)) % 0.42/0.78 (step @p350 :rule cong :premises (@p349) :args (@t516)) % 0.42/0.78 (step @p351 :rule trans :premises (@p350 @p307)) % 0.42/0.78 (step @p352 :rule refl :args (@t461)) % 0.42/0.78 (step @p353 :rule nary_cong :premises (@p352 @p351) :args (@t517)) % 0.42/0.78 (step @p354 :rule beta-reduce :args ((= (_ @t523 @t460) @t517))) % 0.42/0.78 (step @p355 :rule trans :premises (@p354 @p353)) % 0.42/0.78 (step @p356 :rule beta-reduce :args ((= @t524 @t195))) % 0.42/0.78 (step @p357 :rule refl :args (@t12)) % 0.42/0.78 (step @p358 :rule cong :premises (@p357 @p356) :args (@t525)) % 0.42/0.78 (step @p359 :rule cong :premises (@p358) :args (@t526)) % 0.42/0.78 (step @p360 :rule ho_cong :premises (@p334 @p359)) % 0.42/0.78 (step @p361 :rule beta-reduce :args ((= (_ @t527 @t204) (_ @t178 @t526)))) % 0.42/0.78 (step @p362 :rule trans :premises (@p361 @p360)) % 0.42/0.78 (step @p363 :rule refl :args (@t204)) % 0.42/0.78 (step @p364 :rule beta-reduce :args ((= (_ @t528 @t1) @t527))) % 0.42/0.78 (step @p365 :rule beta-reduce :args ((= @t529 @t528))) % 0.42/0.78 (step @p366 :rule ho_cong :premises (@p365 @p270)) % 0.42/0.78 (step @p367 :rule trans :premises (@p366 @p364)) % 0.42/0.78 (step @p368 :rule ho_cong :premises (@p367 @p363)) % 0.42/0.78 (step @p369 :rule trans :premises (@p368 @p362)) % 0.42/0.78 (step @p370 :rule beta-reduce :args ((= (_ @t530 @t1) @t523))) % 0.42/0.78 (step @p371 :rule beta-reduce :args ((= @t531 @t530))) % 0.42/0.78 (step @p372 :rule ho_cong :premises (@p371 @p270)) % 0.42/0.78 (step @p373 :rule trans :premises (@p372 @p370)) % 0.42/0.78 (step @p374 :rule ho_cong :premises (@p373 @p369)) % 0.42/0.78 (step @p375 :rule trans :premises (@p374 @p355)) % 0.42/0.78 (step @p376 :rule refl :args ((tptp.in @t195 @t1))) % 0.42/0.78 (step @p377 :rule cong :premises (@p223 @p227) :args (@t440)) % 0.42/0.78 (step @p378 :rule trans :premises (@p377 @p376)) % 0.42/0.78 (step @p379 :rule refl :args (tptp.in)) % 0.42/0.78 (step @p380 :rule ho_cong :premises (@p379 @p223)) % 0.42/0.78 (step @p381 :rule ho_cong :premises (@p380 @p227)) % 0.42/0.78 (step @p382 :rule cong :premises (@p381 @p378) :args ((= (_ (_ tptp.in @t434) @t1) @t440))) % 0.42/0.78 (step @p383 :rule symm :premises (@p382)) % 0.42/0.78 (step @p384 :rule refl :args (@t198)) % 0.42/0.78 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 0.42/0.78 (step @p386 :rule ho_cong :premises (@p379 @p253)) % 0.42/0.78 (step @p387 :rule ho_cong :premises (@p386 @p227)) % 0.42/0.78 (step @p388 :rule trans :premises (@p387 @p385)) % 0.42/0.78 (step @p389 :rule refl :args (@t441)) % 0.42/0.78 (step @p390 :rule refl :args (@t7)) % 0.42/0.78 (step @p391 :rule cong :premises (@p390 @p389) :args ((= @t7 @t441))) % 0.42/0.78 (step @p392 :rule symm :premises (@p391)) % 0.42/0.78 (step @p393 :rule eq_resolve :premises (@p390 @p392)) % 0.42/0.78 (step @p394 :rule cong :premises (@p393) :args (@t73)) % 0.42/0.78 (step @p395 :rule nary_cong :premises (@p394 @p388) :args (@t532)) % 0.42/0.78 (step @p396 :rule cong :premises (@p395) :args ((forall @t8 @t532))) % 0.42/0.78 (step @p397 :rule bool-impl-elim :args (@t7 @t198)) % 0.42/0.78 (step @p398 :rule cong :premises (@p397) :args (@t199)) % 0.42/0.78 (step @p399 :rule trans :premises (@p398 @p396)) % 0.42/0.78 (step @p400 :rule cong :premises (@p399 @p375) :args (@t534)) % 0.42/0.78 (step @p401 :rule cong :premises (@p400) :args (@t535)) % 0.42/0.78 (step @p402 :rule trans :premises (@p401 @p267)) % 0.42/0.78 (step @p403 :rule refl :args (tptp.lamProp)) % 0.42/0.78 (step @p404 :rule cong :premises 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:rule not_implies_elim2 :premises (@p1263)) % 0.42/0.78 (step @p1265 :rule not_implies_elim2 :premises (@p1264)) % 0.42/0.78 (step @p1266 :rule not_implies_elim2 :premises (@p1265)) % 0.42/0.78 (step @p1267 :rule not_implies_elim2 :premises (@p1266)) % 0.42/0.78 (step @p1268 :rule not_implies_elim2 :premises (@p1267)) % 0.42/0.78 (step @p1269 :rule not_implies_elim2 :premises (@p1268)) % 0.42/0.78 (step @p1270 :rule not_implies_elim2 :premises (@p1269)) % 0.42/0.78 (step @p1271 :rule not_implies_elim2 :premises (@p1270)) % 0.42/0.78 (step @p1272 :rule not_implies_elim2 :premises (@p1271)) % 0.42/0.78 (step @p1273 :rule not_implies_elim2 :premises (@p1272)) % 0.42/0.78 (step @p1274 :rule not_implies_elim2 :premises (@p1273)) % 0.42/0.78 (step @p1275 :rule not_implies_elim2 :premises (@p1274)) % 0.42/0.78 (step @p1276 :rule not_implies_elim2 :premises (@p1275)) % 0.42/0.78 (step @p1277 :rule not_implies_elim2 :premises (@p1276)) % 0.42/0.78 (step @p1278 :rule not_implies_elim2 :premises (@p1277)) % 0.42/0.78 (step @p1279 :rule not_implies_elim2 :premises (@p1278)) % 0.42/0.78 (step @p1280 :rule not_implies_elim2 :premises (@p1279)) % 0.42/0.78 (step @p1281 :rule not_implies_elim2 :premises (@p1280)) % 0.42/0.78 (step @p1282 :rule not_implies_elim2 :premises (@p1281)) % 0.42/0.78 (step @p1283 :rule not_implies_elim2 :premises (@p1282)) % 0.42/0.78 (step @p1284 :rule not_implies_elim2 :premises (@p1283)) % 0.42/0.78 (step @p1285 :rule not_implies_elim2 :premises (@p1284)) % 0.42/0.78 (step @p1286 :rule not_implies_elim2 :premises (@p1285)) % 0.42/0.78 (step @p1287 :rule not_implies_elim2 :premises (@p1286)) % 0.42/0.78 (step @p1288 :rule not_implies_elim2 :premises (@p1287)) % 0.42/0.78 (step @p1289 :rule not_implies_elim2 :premises (@p1288)) % 0.42/0.78 (step @p1290 :rule not_implies_elim2 :premises (@p1289)) % 0.42/0.78 (step @p1291 :rule not_implies_elim2 :premises (@p1290)) % 0.42/0.78 (step @p1292 :rule not_implies_elim2 :premises (@p1291)) % 0.42/0.78 (step @p1293 :rule not_implies_elim2 :premises (@p1292)) % 0.42/0.78 (step @p1294 :rule not_implies_elim2 :premises (@p1293)) % 0.42/0.78 (step @p1295 :rule not_implies_elim2 :premises (@p1294)) % 0.42/0.78 (step @p1296 :rule not_implies_elim2 :premises (@p1295)) % 0.42/0.78 (step @p1297 :rule not_implies_elim2 :premises (@p1296)) % 0.42/0.78 (step @p1298 :rule not_implies_elim2 :premises (@p1297)) % 0.42/0.78 (step @p1299 :rule not_implies_elim2 :premises (@p1298)) % 0.42/0.78 (step @p1300 :rule not_implies_elim2 :premises (@p1299)) % 0.42/0.78 (step @p1301 :rule not_implies_elim2 :premises (@p1300)) % 0.42/0.78 (step @p1302 :rule not_implies_elim2 :premises (@p1301)) % 0.42/0.78 (step @p1303 :rule not_implies_elim2 :premises (@p1302)) % 0.42/0.78 (step @p1304 :rule not_implies_elim2 :premises (@p1303)) % 0.42/0.78 (step @p1305 :rule not_implies_elim2 :premises (@p1304)) % 0.42/0.78 (step @p1306 :rule not_implies_elim2 :premises (@p1305)) % 0.42/0.78 (step @p1307 :rule not_implies_elim2 :premises (@p1306)) % 0.42/0.78 (step @p1308 :rule not_implies_elim2 :premises (@p1307)) % 0.42/0.78 (step @p1309 :rule not_implies_elim2 :premises (@p1308)) % 0.42/0.78 (step @p1310 :rule not_implies_elim2 :premises (@p1309)) % 0.42/0.78 (step @p1311 :rule not_implies_elim2 :premises (@p1310)) % 0.42/0.78 (step @p1312 :rule not_implies_elim2 :premises (@p1311)) % 0.42/0.78 (step @p1313 :rule not_implies_elim2 :premises (@p1312)) % 0.42/0.78 (step @p1314 :rule not_implies_elim2 :premises (@p1313)) % 0.42/0.78 (step @p1315 :rule not_implies_elim2 :premises (@p1314)) % 0.42/0.78 (step @p1316 :rule not_implies_elim2 :premises (@p1315)) % 0.42/0.78 (step @p1317 :rule not_implies_elim2 :premises (@p1316)) % 0.42/0.78 (step @p1318 :rule not_implies_elim2 :premises (@p1317)) % 0.42/0.78 (step @p1319 :rule not_implies_elim2 :premises (@p1318)) % 0.42/0.78 (step @p1320 :rule not_implies_elim2 :premises (@p1319)) % 0.42/0.78 (step @p1321 :rule not_implies_elim2 :premises (@p1320)) % 0.42/0.78 (step @p1322 :rule not_implies_elim2 :premises (@p1321)) % 0.42/0.78 (step @p1323 :rule not_implies_elim2 :premises (@p1322)) % 0.42/0.78 (step @p1324 :rule not_implies_elim2 :premises (@p1323)) % 0.42/0.78 (step @p1325 :rule not_implies_elim2 :premises (@p1324)) % 0.42/0.78 (step @p1326 :rule not_implies_elim2 :premises (@p1325)) % 0.42/0.78 (step @p1327 :rule not_implies_elim2 :premises (@p1326)) % 0.42/0.78 (step @p1328 :rule not_implies_elim2 :premises (@p1327)) % 0.42/0.78 (step @p1329 :rule not_implies_elim2 :premises (@p1328)) % 0.42/0.78 (step @p1330 :rule not_implies_elim2 :premises (@p1329)) % 0.42/0.78 (step @p1331 :rule not_implies_elim2 :premises (@p1330)) % 0.42/0.78 (step @p1332 :rule not_implies_elim2 :premises (@p1331)) % 0.42/0.78 (step @p1333 :rule not_implies_elim2 :premises (@p1332)) % 0.42/0.78 (step @p1334 :rule not_implies_elim2 :premises (@p1333)) % 0.42/0.78 (step @p1335 :rule not_implies_elim2 :premises (@p1334)) % 0.42/0.78 (step @p1336 :rule not_implies_elim2 :premises (@p1335)) % 0.42/0.78 (step @p1337 :rule not_implies_elim2 :premises (@p1336)) % 0.42/0.78 (step @p1338 :rule not_implies_elim2 :premises (@p1337)) % 0.42/0.78 (step @p1339 :rule not_implies_elim2 :premises (@p1338)) % 0.42/0.78 (step @p1340 :rule not_implies_elim2 :premises (@p1339)) % 0.42/0.78 (step @p1341 :rule not_implies_elim2 :premises (@p1340)) % 0.42/0.78 (step @p1342 :rule not_implies_elim2 :premises (@p1341)) % 0.42/0.78 (step @p1343 :rule not_implies_elim2 :premises (@p1342)) % 0.42/0.78 (step @p1344 :rule not_implies_elim2 :premises (@p1343)) % 0.42/0.78 (step @p1345 :rule not_implies_elim2 :premises (@p1344)) % 0.42/0.78 (step @p1346 :rule not_implies_elim2 :premises (@p1345)) % 0.42/0.78 (step @p1347 :rule not_implies_elim2 :premises (@p1346)) % 0.42/0.78 (step @p1348 :rule not_implies_elim2 :premises (@p1347)) % 0.42/0.78 (step @p1349 :rule not_implies_elim2 :premises (@p1348)) % 0.42/0.78 (step @p1350 :rule not_implies_elim2 :premises (@p1349)) % 0.42/0.78 (step @p1351 :rule not_implies_elim2 :premises (@p1350)) % 0.42/0.78 (step @p1352 :rule not_implies_elim2 :premises (@p1351)) % 0.42/0.78 (step @p1353 :rule not_implies_elim2 :premises (@p1352)) % 0.42/0.78 (step @p1354 :rule not_implies_elim2 :premises (@p1353)) % 0.42/0.78 (step @p1355 :rule not_implies_elim2 :premises (@p1354)) % 0.42/0.78 (step @p1356 :rule not_implies_elim2 :premises (@p1355)) % 0.42/0.78 (step @p1357 :rule not_implies_elim2 :premises (@p1356)) % 0.42/0.78 (step @p1358 :rule not_implies_elim2 :premises (@p1357)) % 0.42/0.78 (step @p1359 :rule not_implies_elim2 :premises (@p1358)) % 0.42/0.78 (step @p1360 :rule not_implies_elim2 :premises (@p1359)) % 0.42/0.78 (step @p1361 :rule not_implies_elim2 :premises (@p1360)) % 0.42/0.78 (step @p1362 :rule not_implies_elim1 :premises (@p1360)) % 0.42/0.78 (step @p1363 :rule cnf_equiv_pos1 :args ((= tptp.lamProp @t446))) % 0.42/0.78 (step @p1364 :rule chain_resolution :premises (@p1363 @p1362 @p1361) :args ((@list false true) (@list tptp.lamProp @t446))) % 0.42/0.78 (step @p1365 :rule ho_cong :premises (@p373 @p796)) % 0.42/0.78 (step @p1366 :rule trans :premises (@p1365 @p355)) % 0.42/0.78 (step @p1367 :rule cong :premises (@p399 @p1366) :args (@t790)) % 0.42/0.78 (step @p1368 :rule cong :premises (@p1367) :args (@t791)) % 0.42/0.78 (step @p1369 :rule trans :premises (@p1368 @p267)) % 0.42/0.78 (step @p1370 :rule cong :premises (@p403 @p1369) :args ((= tptp.lamProp @t791))) % 0.42/0.78 (step @p1371 :rule refl :args (@t197)) % 0.42/0.78 (step @p1372 :rule ho_cong :premises (@p964 @p1371)) % 0.42/0.78 (step @p1373 :rule cong :premises (@p966 @p1372) :args (@t200)) % 0.42/0.78 (step @p1374 :rule cong :premises (@p1373) :args (@t202)) % 0.42/0.78 (step @p1375 :rule cong :premises (@p403 @p1374) :args (@t203)) % 0.42/0.78 (step @p1376 :rule trans :premises (@p1375 @p1370)) % 0.42/0.78 (step @p1377 :rule eq_resolve :premises (@p195 @p1376)) % 0.42/0.78 (step @p1378 false :rule contra :premises (@p1377 @p1364)) % 0.42/0.78 ) % 0.42/0.78 % SZS output end Proof % 0.42/0.78 % cvc5 exiting %------------------------------------------------------------------------------