%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU684^1 : 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 : n017.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 08:52:43 AM UTC 2026 % Result : Theorem 1.11s 1.38s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU684^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:45:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.57 %----Proving TH0 % 1.11/1.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.11/1.38 % SZS status Theorem % 1.11/1.38 % SZS output start Proof % 1.11/1.38 ( % 1.11/1.38 (declare-sort $$unsorted 0) % 1.11/1.38 (declare-const tptp.emptyset $$unsorted) % 1.11/1.38 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.11/1.38 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.11/1.38 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.11/1.38 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 1.11/1.38 (declare-const tptp.lam2p Bool) % 1.11/1.38 (declare-const tptp.funcinfuncset Bool) % 1.11/1.38 (declare-const tptp.ap2p Bool) % 1.11/1.38 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.dpsetconstrER Bool) % 1.11/1.38 (declare-const tptp.dpsetconstrEL1 Bool) % 1.11/1.38 (declare-const tptp.dpsetconstrERa Bool) % 1.11/1.38 (declare-const tptp.setOfPairsIsBReln Bool) % 1.11/1.38 (declare-const tptp.ex1E2 Bool) % 1.11/1.38 (declare-const tptp.dpsetconstrSub Bool) % 1.11/1.38 (declare-const tptp.brelnall1 Bool) % 1.11/1.38 (declare-const tptp.dpsetconstrI Bool) % 1.11/1.38 (declare-const tptp.cartprodpairsurjEq Bool) % 1.11/1.38 (declare-const tptp.cartprodsndpairEq Bool) % 1.11/1.38 (declare-const tptp.cartprodfstpairEq Bool) % 1.11/1.38 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.setukpairinjR Bool) % 1.11/1.38 (declare-const tptp.app Bool) % 1.11/1.38 (declare-const tptp.setukpairinjR2 Bool) % 1.11/1.38 (declare-const tptp.upairequniteq Bool) % 1.11/1.38 (declare-const tptp.setukpairinjR11 Bool) % 1.11/1.38 (declare-const tptp.setukpairinjL Bool) % 1.11/1.38 (declare-const tptp.kfstpairEq Bool) % 1.11/1.38 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.kfstsingleton Bool) % 1.11/1.38 (declare-const tptp.setukpairinjL1 Bool) % 1.11/1.38 (declare-const tptp.setunionsingleton Bool) % 1.11/1.38 (declare-const tptp.kpairsurjEq Bool) % 1.11/1.38 (declare-const tptp.setunionE2 Bool) % 1.11/1.38 (declare-const tptp.ksndpairEq Bool) % 1.11/1.38 (declare-const tptp.cartprodmempair Bool) % 1.11/1.38 (declare-const tptp.ubforcartprodlem3 Bool) % 1.11/1.38 (declare-const tptp.ubforcartprodlem2 Bool) % 1.11/1.38 (declare-const tptp.upairsubunion Bool) % 1.11/1.38 (declare-const tptp.singletoninpowunion Bool) % 1.11/1.38 (declare-const tptp.singletoninpowerset Bool) % 1.11/1.38 (declare-const tptp.setukpairIR Bool) % 1.11/1.38 (declare-const tptp.secondinupair Bool) % 1.11/1.38 (declare-const tptp.symdiffIneg2 Bool) % 1.11/1.38 (declare-const tptp.ex1I Bool) % 1.11/1.38 (declare-const tptp.symdiffI2 Bool) % 1.11/1.38 (declare-const tptp.symdiffI1 Bool) % 1.11/1.38 (declare-const tptp.setminusIRneg Bool) % 1.11/1.38 (declare-const tptp.setminusILneg Bool) % 1.11/1.38 (declare-const tptp.setminusERneg Bool) % 1.11/1.38 (declare-const tptp.setminusI Bool) % 1.11/1.38 (declare-const tptp.ubforcartprodlem1 Bool) % 1.11/1.38 (declare-const tptp.quantDeMorgan1 Bool) % 1.11/1.38 (declare-const tptp.funcImageSingleton Bool) % 1.11/1.38 (declare-const tptp.sepSubset Bool) % 1.11/1.38 (declare-const tptp.setukpairinjL2 Bool) % 1.11/1.38 (declare-const tptp.emptyE1 Bool) % 1.11/1.38 (declare-const tptp.upairset2E Bool) % 1.11/1.38 (declare-const tptp.inPowerset Bool) % 1.11/1.38 (declare-const tptp.upairsetIR Bool) % 1.11/1.38 (declare-const tptp.setunion__Cong Bool) % 1.11/1.38 (declare-const tptp.cartprodfstin Bool) % 1.11/1.38 (declare-const tptp.powersetE1 Bool) % 1.11/1.38 (declare-const tptp.singletonsswitch Bool) % 1.11/1.38 (declare-const tptp.subset2powerset Bool) % 1.11/1.38 (declare-const tptp.notinsingleton Bool) % 1.11/1.38 (declare-const tptp.subPowSU Bool) % 1.11/1.38 (declare-const tptp.binintersectSubset5 Bool) % 1.11/1.38 (declare-const tptp.exuE1 Bool) % 1.11/1.38 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.setunionI Bool) % 1.11/1.38 (declare-const tptp.ksndsingleton Bool) % 1.11/1.38 (declare-const tptp.notdexE Bool) % 1.11/1.38 (declare-const tptp.powersetE Bool) % 1.11/1.38 (declare-const tptp.omegaSAx Bool) % 1.11/1.38 (declare-const tptp.setadjoinE Bool) % 1.11/1.38 (declare-const tptp.emptyinunitempty Bool) % 1.11/1.38 (declare-const tptp.brelnall2 Bool) % 1.11/1.38 (declare-const tptp.setminusEL Bool) % 1.11/1.38 (declare-const tptp.descr__Cong Bool) % 1.11/1.38 (declare-const tptp.nonemptyI1 Bool) % 1.11/1.38 (declare-const tptp.emptysetAx Bool) % 1.11/1.38 (declare-const tptp.singletonprop Bool) % 1.11/1.38 (declare-const tptp.nonemptyI Bool) % 1.11/1.38 (declare-const tptp.upairsetIL Bool) % 1.11/1.38 (declare-const tptp.powersetI1 Bool) % 1.11/1.38 (declare-const tptp.kpairp Bool) % 1.11/1.38 (declare-const tptp.eqinunit Bool) % 1.11/1.38 (declare-const tptp.upairsetE Bool) % 1.11/1.38 (declare-const tptp.replAx Bool) % 1.11/1.38 (declare-const tptp.powersetI Bool) % 1.11/1.38 (declare-const tptp.quantDeMorgan4 Bool) % 1.11/1.38 (declare-const tptp.ex1E1 Bool) % 1.11/1.38 (declare-const tptp.setunionE Bool) % 1.11/1.38 (declare-const tptp.omegaIndAx Bool) % 1.11/1.38 (declare-const tptp.dpsetconstrEL2 Bool) % 1.11/1.38 (declare-const tptp.setunionAx Bool) % 1.11/1.38 (declare-const tptp.setoftrueEq Bool) % 1.11/1.38 (declare-const tptp.foundationAx Bool) % 1.11/1.38 (declare-const tptp.cartprodpairmemEL Bool) % 1.11/1.38 (declare-const tptp.emptysetimpfalse Bool) % 1.11/1.38 (declare-const tptp.setminusELneg Bool) % 1.11/1.38 (declare-const tptp.powersetAx Bool) % 1.11/1.38 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.emptyI Bool) % 1.11/1.38 (declare-const tptp.subsetemptysetimpeq Bool) % 1.11/1.38 (declare-const tptp.setminusER Bool) % 1.11/1.38 (declare-const tptp.setadjoinAx Bool) % 1.11/1.38 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.omega $$unsorted) % 1.11/1.38 (declare-const tptp.emptyInPowerset Bool) % 1.11/1.38 (declare-const tptp.eqimpsubset1 Bool) % 1.11/1.38 (declare-const tptp.cartprodpairin Bool) % 1.11/1.38 (declare-const tptp.binunionE Bool) % 1.11/1.38 (declare-const tptp.infuncsetfunc Bool) % 1.11/1.38 (declare-const tptp.dsetconstrER Bool) % 1.11/1.38 (declare-const tptp.notdallE Bool) % 1.11/1.38 (declare-const tptp.cartprodmempair1 Bool) % 1.11/1.38 (declare-const tptp.binunionRsub Bool) % 1.11/1.38 (declare-const tptp.exuE2 Bool) % 1.11/1.38 (declare-const tptp.setminusSubset2 Bool) % 1.11/1.38 (declare-const tptp.dsetconstr__Cong Bool) % 1.11/1.38 (declare-const tptp.setadjoinIR Bool) % 1.11/1.38 (declare-const tptp.notinemptyset Bool) % 1.11/1.38 (declare-const tptp.singletonsuniq Bool) % 1.11/1.38 (declare-const tptp.subsetRefl Bool) % 1.11/1.38 (declare-const tptp.uniqinunit Bool) % 1.11/1.38 (declare-const tptp.cartprodpairmemER Bool) % 1.11/1.38 (declare-const tptp.exuE3u Bool) % 1.11/1.38 (declare-const tptp.setukpairIL Bool) % 1.11/1.38 (declare-const tptp.subsetTrans Bool) % 1.11/1.38 (declare-const tptp.setadjoinOr Bool) % 1.11/1.38 (declare-const tptp.wellorderingAx Bool) % 1.11/1.38 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.11/1.38 (declare-const tptp.vacuousDall Bool) % 1.11/1.38 (declare-const tptp.upairinpowunion Bool) % 1.11/1.38 (declare-const tptp.sepInPowerset Bool) % 1.11/1.38 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.11/1.38 (declare-const tptp.nonemptyImpWitness Bool) % 1.11/1.38 (declare-const tptp.binintersectLsub Bool) % 1.11/1.38 (declare-const tptp.setukpairinjR12 Bool) % 1.11/1.38 (declare-const tptp.upairset2IR Bool) % 1.11/1.38 (declare-const tptp.dsetconstrI Bool) % 1.11/1.38 (declare-const tptp.setminusSubset1 Bool) % 1.11/1.38 (declare-const tptp.emptyinPowerset Bool) % 1.11/1.38 (declare-const tptp.prop2setI Bool) % 1.11/1.38 (declare-const tptp.dsetconstrEL Bool) % 1.11/1.38 (declare-const tptp.prop2set2propI Bool) % 1.11/1.38 (declare-const tptp.binunionLsub Bool) % 1.11/1.38 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.11/1.38 (declare-const tptp.exuI2 Bool) % 1.11/1.38 (declare-const tptp.prop2setE Bool) % 1.11/1.38 (declare-const tptp.exuEu Bool) % 1.11/1.38 (declare-const tptp.setadjoinIL Bool) % 1.11/1.38 (declare-const tptp.omega__Cong Bool) % 1.11/1.38 (declare-const tptp.cartprodsndin Bool) % 1.11/1.38 (declare-const tptp.emptysetE Bool) % 1.11/1.38 (declare-const tptp.symdiffIneg1 Bool) % 1.11/1.38 (declare-const tptp.notequalI1 Bool) % 1.11/1.38 (declare-const tptp.noeltsimpempty Bool) % 1.11/1.38 (declare-const tptp.quantDeMorgan2 Bool) % 1.11/1.38 (declare-const tptp.subsetI1 Bool) % 1.11/1.38 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.11/1.38 (declare-const tptp.subsetE Bool) % 1.11/1.38 (declare-const tptp.exuI3 Bool) % 1.11/1.38 (declare-const tptp.subsetE2 Bool) % 1.11/1.38 (declare-const tptp.inCongP Bool) % 1.11/1.38 (declare-const tptp.setunionsingleton1 Bool) % 1.11/1.38 (declare-const tptp.in__Cong Bool) % 1.11/1.38 (declare-const tptp.cartprodmempaircEq Bool) % 1.11/1.38 (declare-const tptp.exu__Cong Bool) % 1.11/1.38 (declare-const tptp.setunionsingleton2 Bool) % 1.11/1.38 (declare-const tptp.exuE3e Bool) % 1.11/1.38 (declare-const tptp.binintersectSubset3 Bool) % 1.11/1.38 (declare-const tptp.setadjoin__Cong Bool) % 1.11/1.38 (declare-const tptp.lamp Bool) % 1.11/1.38 (declare-const tptp.emptyset__Cong Bool) % 1.11/1.38 (declare-const tptp.binintersectRsub Bool) % 1.11/1.38 (declare-const tptp.nonemptyE1 Bool) % 1.11/1.38 (declare-const tptp.setextAx Bool) % 1.11/1.38 (declare-const tptp.powerset__Cong Bool) % 1.11/1.38 (declare-const tptp.bs114d Bool) % 1.11/1.38 (declare-const tptp.setminusLsub Bool) % 1.11/1.38 (declare-const tptp.eqimpsubset2 Bool) % 1.11/1.38 (declare-const tptp.symdiffE Bool) % 1.11/1.38 (declare-const tptp.omega0Ax Bool) % 1.11/1.38 (declare-const tptp.subsetI2 Bool) % 1.11/1.38 (declare-const tptp.emptysetsubset Bool) % 1.11/1.38 (declare-const tptp.notsubsetI Bool) % 1.11/1.38 (declare-const tptp.ex1I2 Bool) % 1.11/1.38 (declare-const tptp.notequalI2 Bool) % 1.11/1.38 (declare-const tptp.setadjoinSub Bool) % 1.11/1.38 (declare-const tptp.kpairiskpair Bool) % 1.11/1.38 (declare-const tptp.setadjoinSub2 Bool) % 1.11/1.38 (declare-const tptp.disjointsetsI1 Bool) % 1.11/1.38 (declare-const tptp.theprop Bool) % 1.11/1.38 (declare-const tptp.singletonsubset Bool) % 1.11/1.38 (declare-const tptp.setextsub Bool) % 1.11/1.38 (declare-const tptp.setbeta Bool) % 1.11/1.38 (declare-const tptp.binintersectSubset4 Bool) % 1.11/1.38 (declare-const tptp.powersetsubset Bool) % 1.11/1.38 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (declare-const tptp.binunionIL Bool) % 1.11/1.38 (declare-const tptp.apProp Bool) % 1.11/1.38 (declare-const tptp.binunionIR Bool) % 1.11/1.38 (declare-const tptp.setukpairinjR1 Bool) % 1.11/1.38 (declare-const tptp.descrp Bool) % 1.11/1.38 (declare-const tptp.quantDeMorgan3 Bool) % 1.11/1.38 (declare-const tptp.binunionEcases Bool) % 1.11/1.38 (declare-const tptp.exuI1 Bool) % 1.11/1.38 (declare-const tptp.binintersectI Bool) % 1.11/1.38 (declare-const tptp.lamProp Bool) % 1.11/1.38 (declare-const tptp.binintersectEL Bool) % 1.11/1.38 (declare-const tptp.binintersectSubset2 Bool) % 1.11/1.38 (declare-const tptp.setext Bool) % 1.11/1.38 (declare-const tptp.binintersectER Bool) % 1.11/1.38 (declare-const tptp.binintersectSubset1 Bool) % 1.11/1.38 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.38 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.11/1.38 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.11/1.38 (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)))))))) % 1.11/1.38 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 1.11/1.38 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 1.11/1.38 (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" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 1.11/1.38 (define tptp.ap () (let ((_let_1 (@var "Xf" $$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)))))))))) % 1.11/1.38 (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)))))))))) % 1.11/1.38 (define @t1 () (@var "B" $$unsorted)) % 1.11/1.38 (define @t2 () (@var "A" $$unsorted)) % 1.11/1.38 (define @t3 () (= @t2 @t1)) % 1.11/1.38 (define @t4 () (@var "Xx" $$unsorted)) % 1.11/1.38 (define @t5 () (_ tptp.in @t4)) % 1.11/1.38 (define @t6 () (_ @t5 @t1)) % 1.11/1.38 (define @t7 () (_ @t5 @t2)) % 1.11/1.38 (define @t8 () (= @t7 @t6)) % 1.11/1.38 (define @t9 () (@list @t4)) % 1.11/1.38 (define @t10 () (forall @t9 @t8)) % 1.11/1.38 (define @t11 () (=> @t10 @t3)) % 1.11/1.38 (define @t12 () (@list @t2 @t1)) % 1.11/1.38 (define @t13 () (forall @t12 @t11)) % 1.11/1.38 (define @t14 () (= tptp.setextAx @t13)) % 1.11/1.38 (define @t15 () (_ @t5 tptp.emptyset)) % 1.11/1.38 (define @t16 () (not @t15)) % 1.11/1.38 (define @t17 () (forall @t9 @t16)) % 1.11/1.38 (define @t18 () (= tptp.emptysetAx @t17)) % 1.11/1.38 (define @t19 () (@var "Xy" $$unsorted)) % 1.11/1.38 (define @t20 () (_ tptp.in @t19)) % 1.11/1.38 (define @t21 () (_ @t20 @t2)) % 1.11/1.38 (define @t22 () (= @t19 @t4)) % 1.11/1.38 (define @t23 () (or @t22 @t21)) % 1.11/1.38 (define @t24 () (_ tptp.setadjoin @t4)) % 1.11/1.38 (define @t25 () (_ @t24 @t2)) % 1.11/1.38 (define @t26 () (_ @t20 @t25)) % 1.11/1.38 (define @t27 () (= @t26 @t23)) % 1.11/1.38 (define @t28 () (@list @t4 @t2 @t19)) % 1.11/1.38 (define @t29 () (forall @t28 @t27)) % 1.11/1.38 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.11/1.38 (define @t31 () (=> @t6 @t7)) % 1.11/1.38 (define @t32 () (forall @t9 @t31)) % 1.11/1.38 (define @t33 () (_ tptp.powerset @t2)) % 1.11/1.38 (define @t34 () (_ tptp.in @t1)) % 1.11/1.38 (define @t35 () (_ @t34 @t33)) % 1.11/1.38 (define @t36 () (= @t35 @t32)) % 1.11/1.38 (define @t37 () (forall @t12 @t36)) % 1.11/1.38 (define @t38 () (= tptp.powersetAx @t37)) % 1.11/1.38 (define @t39 () (_ @t34 @t2)) % 1.11/1.38 (define @t40 () (and @t6 @t39)) % 1.11/1.38 (define @t41 () (@list @t1)) % 1.11/1.38 (define @t42 () (exists @t41 @t40)) % 1.11/1.38 (define @t43 () (_ tptp.setunion @t2)) % 1.11/1.38 (define @t44 () (_ @t5 @t43)) % 1.11/1.38 (define @t45 () (= @t44 @t42)) % 1.11/1.38 (define @t46 () (@list @t2 @t4)) % 1.11/1.38 (define @t47 () (forall @t46 @t45)) % 1.11/1.38 (define @t48 () (= tptp.setunionAx @t47)) % 1.11/1.38 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.11/1.38 (define @t50 () (_ @t49 tptp.omega)) % 1.11/1.38 (define @t51 () (_ @t24 @t4)) % 1.11/1.38 (define @t52 () (_ tptp.in @t51)) % 1.11/1.38 (define @t53 () (_ @t52 tptp.omega)) % 1.11/1.38 (define @t54 () (_ @t5 tptp.omega)) % 1.11/1.38 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.11/1.38 (define @t56 () (= tptp.omegaSAx @t55)) % 1.11/1.38 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.11/1.38 (define @t58 () (_ @t52 @t2)) % 1.11/1.38 (define @t59 () (and @t54 @t7)) % 1.11/1.38 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.11/1.38 (define @t61 () (_ @t49 @t2)) % 1.11/1.38 (define @t62 () (and @t61 @t60)) % 1.11/1.38 (define @t63 () (=> @t62 @t57)) % 1.11/1.38 (define @t64 () (@list @t2)) % 1.11/1.38 (define @t65 () (forall @t64 @t63)) % 1.11/1.38 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.11/1.38 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.11/1.38 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.11/1.38 (define @t69 () (and @t21 @t68)) % 1.11/1.38 (define @t70 () (@list @t19)) % 1.11/1.38 (define @t71 () (exists @t70 @t69)) % 1.11/1.38 (define @t72 () (= @t6 @t71)) % 1.11/1.38 (define @t73 () (forall @t9 @t72)) % 1.11/1.38 (define @t74 () (exists @t41 @t73)) % 1.11/1.38 (define @t75 () (_ @t67 @t4)) % 1.11/1.38 (define @t76 () (_ @t75 @t19)) % 1.11/1.38 (define @t77 () (lambda @t70 @t76)) % 1.11/1.38 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.11/1.38 (define @t79 () (forall @t9 @t78)) % 1.11/1.38 (define @t80 () (=> @t79 @t74)) % 1.11/1.38 (define @t81 () (@list @t67 @t2)) % 1.11/1.38 (define @t82 () (forall @t81 @t80)) % 1.11/1.38 (define @t83 () (= tptp.replAx @t82)) % 1.11/1.38 (define @t84 () (and @t6 @t7)) % 1.11/1.38 (define @t85 () (exists @t9 @t84)) % 1.11/1.38 (define @t86 () (not @t85)) % 1.11/1.38 (define @t87 () (and @t39 @t86)) % 1.11/1.38 (define @t88 () (exists @t41 @t87)) % 1.11/1.38 (define @t89 () (exists @t9 @t7)) % 1.11/1.38 (define @t90 () (=> @t89 @t88)) % 1.11/1.38 (define @t91 () (forall @t64 @t90)) % 1.11/1.38 (define @t92 () (= tptp.foundationAx @t91)) % 1.11/1.38 (define @t93 () (@var "E" $$unsorted)) % 1.11/1.38 (define @t94 () (_ @t5 @t93)) % 1.11/1.38 (define @t95 () (@var "D" $$unsorted)) % 1.11/1.38 (define @t96 () (_ @t20 @t95)) % 1.11/1.38 (define @t97 () (_ @t20 @t93)) % 1.11/1.38 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.11/1.38 (define @t99 () (or @t98 @t94)) % 1.11/1.38 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.11/1.38 (define @t101 () (=> @t100 @t99)) % 1.11/1.38 (define @t102 () (@list @t93)) % 1.11/1.38 (define @t103 () (forall @t102 @t101)) % 1.11/1.38 (define @t104 () (@var "C" $$unsorted)) % 1.11/1.38 (define @t105 () (_ @t20 @t104)) % 1.11/1.38 (define @t106 () (and @t96 @t105)) % 1.11/1.38 (define @t107 () (exists @t70 @t106)) % 1.11/1.38 (define @t108 () (not @t107)) % 1.11/1.38 (define @t109 () (_ @t5 @t104)) % 1.11/1.38 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.11/1.38 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.11/1.38 (define @t112 () (@list @t95 @t4)) % 1.11/1.38 (define @t113 () (exists @t112 @t111)) % 1.11/1.38 (define @t114 () (exists @t9 @t109)) % 1.11/1.38 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.11/1.38 (define @t116 () (and @t115 @t114)) % 1.11/1.38 (define @t117 () (=> @t116 @t113)) % 1.11/1.38 (define @t118 () (@list @t104)) % 1.11/1.38 (define @t119 () (forall @t118 @t117)) % 1.11/1.38 (define @t120 () (_ @t5 @t95)) % 1.11/1.38 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.11/1.38 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.11/1.38 (define @t123 () (or @t122 @t121)) % 1.11/1.38 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.11/1.38 (define @t125 () (and @t124 @t110)) % 1.11/1.38 (define @t126 () (=> @t125 @t123)) % 1.11/1.38 (define @t127 () (@list @t104 @t95)) % 1.11/1.38 (define @t128 () (forall @t127 @t126)) % 1.11/1.38 (define @t129 () (= @t4 @t19)) % 1.11/1.38 (define @t130 () (= @t109 @t105)) % 1.11/1.38 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.11/1.38 (define @t132 () (=> @t131 @t129)) % 1.11/1.38 (define @t133 () (and @t7 @t21)) % 1.11/1.38 (define @t134 () (=> @t133 @t132)) % 1.11/1.38 (define @t135 () (@list @t4 @t19)) % 1.11/1.38 (define @t136 () (forall @t135 @t134)) % 1.11/1.38 (define @t137 () (=> @t124 @t115)) % 1.11/1.38 (define @t138 () (forall @t118 @t137)) % 1.11/1.38 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.11/1.38 (define @t140 () (exists @t41 @t139)) % 1.11/1.38 (define @t141 () (forall @t64 @t140)) % 1.11/1.38 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.11/1.38 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.11/1.38 (define @t144 () (_ @t143 @t4)) % 1.11/1.38 (define @t145 () (lambda @t9 @t144)) % 1.11/1.38 (define @t146 () (_ tptp.descr @t145)) % 1.11/1.38 (define @t147 () (_ @t143 @t146)) % 1.11/1.38 (define @t148 () (_ tptp.exu @t145)) % 1.11/1.38 (define @t149 () (=> @t148 @t147)) % 1.11/1.38 (define @t150 () (@list @t143)) % 1.11/1.38 (define @t151 () (forall @t150 @t149)) % 1.11/1.38 (define @t152 () (= tptp.descrp @t151)) % 1.11/1.38 (define @t153 () (_ @t143 @t19)) % 1.11/1.38 (define @t154 () (lambda @t70 @t153)) % 1.11/1.38 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.11/1.38 (define @t156 () (_ @t155 @t154)) % 1.11/1.38 (define @t157 () (_ @t5 @t156)) % 1.11/1.38 (define @t158 () (=> @t144 @t157)) % 1.11/1.38 (define @t159 () (@list @t2 @t143 @t4)) % 1.11/1.38 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.11/1.38 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.11/1.38 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.11/1.38 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.11/1.38 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.11/1.38 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.11/1.38 (define @t166 () (=> @t153 @t129)) % 1.11/1.38 (define @t167 () (forall @t70 @t166)) % 1.11/1.38 (define @t168 () (and @t144 @t167)) % 1.11/1.38 (define @t169 () (exists @t9 @t168)) % 1.11/1.38 (define @t170 () (=> @t148 @t169)) % 1.11/1.38 (define @t171 () (forall @t150 @t170)) % 1.11/1.38 (define @t172 () (= tptp.exuE1 @t171)) % 1.11/1.38 (define @t173 () (@var "Xphi" Bool)) % 1.11/1.38 (define @t174 () (_ tptp.prop2set @t173)) % 1.11/1.38 (define @t175 () (_ @t5 @t174)) % 1.11/1.38 (define @t176 () (@list @t173 @t4)) % 1.11/1.38 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.11/1.38 (define @t178 () (= tptp.prop2setE @t177)) % 1.11/1.38 (define @t179 () (@list @t173)) % 1.11/1.38 (define @t180 () (forall @t179 @t173)) % 1.11/1.38 (define @t181 () (=> @t15 @t180)) % 1.11/1.38 (define @t182 () (forall @t9 @t181)) % 1.11/1.38 (define @t183 () (= tptp.emptysetE @t182)) % 1.11/1.38 (define @t184 () (forall @t9 (=> @t15 false))) % 1.11/1.38 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.11/1.38 (define @t186 () (exists @t9 @t144)) % 1.11/1.38 (define @t187 () (=> @t148 @t186)) % 1.11/1.38 (define @t188 () (forall @t150 @t187)) % 1.11/1.38 (define @t189 () (= tptp.exuE3e @t188)) % 1.11/1.38 (define @t190 () (=> @t32 @t3)) % 1.11/1.38 (define @t191 () (=> @t7 @t6)) % 1.11/1.38 (define @t192 () (forall @t9 @t191)) % 1.11/1.38 (define @t193 () (=> @t192 @t190)) % 1.11/1.38 (define @t194 () (forall @t12 @t193)) % 1.11/1.38 (define @t195 () (= tptp.setext @t194)) % 1.11/1.38 (define @t196 () (= @t2 tptp.emptyset)) % 1.11/1.38 (define @t197 () (not @t7)) % 1.11/1.38 (define @t198 () (forall @t9 @t197)) % 1.11/1.38 (define @t199 () (=> @t198 @t196)) % 1.11/1.38 (define @t200 () (forall @t64 @t199)) % 1.11/1.38 (define @t201 () (= tptp.emptyI @t200)) % 1.11/1.38 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.11/1.38 (define @t203 () (forall @t159 @t202)) % 1.11/1.38 (define @t204 () (= tptp.setbeta @t203)) % 1.11/1.38 (define @t205 () (_ tptp.nonempty @t2)) % 1.11/1.38 (define @t206 () (=> @t205 @t89)) % 1.11/1.38 (define @t207 () (forall @t64 @t206)) % 1.11/1.38 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.11/1.38 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.11/1.38 (define @t210 () (=> @t7 @t209)) % 1.11/1.38 (define @t211 () (forall @t159 @t210)) % 1.11/1.38 (define @t212 () (= tptp.nonemptyI @t211)) % 1.11/1.38 (define @t213 () (=> @t89 @t205)) % 1.11/1.38 (define @t214 () (forall @t64 @t213)) % 1.11/1.38 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.11/1.38 (define @t216 () (_ @t24 @t19)) % 1.11/1.38 (define @t217 () (_ @t5 @t216)) % 1.11/1.38 (define @t218 () (forall @t135 @t217)) % 1.11/1.38 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.11/1.38 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.11/1.38 (define @t221 () (_ @t49 @t220)) % 1.11/1.38 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.11/1.38 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.11/1.38 (define @t224 () (=> @t21 @t173)) % 1.11/1.38 (define @t225 () (=> @t224 @t173)) % 1.11/1.38 (define @t226 () (=> @t22 @t173)) % 1.11/1.38 (define @t227 () (=> @t226 @t225)) % 1.11/1.38 (define @t228 () (forall @t179 @t227)) % 1.11/1.38 (define @t229 () (=> @t26 @t228)) % 1.11/1.38 (define @t230 () (forall @t28 @t229)) % 1.11/1.38 (define @t231 () (= tptp.setadjoinE @t230)) % 1.11/1.38 (define @t232 () (=> @t26 @t23)) % 1.11/1.38 (define @t233 () (forall @t28 @t232)) % 1.11/1.38 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.11/1.38 (define @t235 () (lambda @t9 true)) % 1.11/1.38 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.11/1.38 (define @t237 () (forall @t64 @t236)) % 1.11/1.38 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.11/1.38 (define @t239 () (=> @t32 @t35)) % 1.11/1.38 (define @t240 () (forall @t12 @t239)) % 1.11/1.38 (define @t241 () (= tptp.powersetI @t240)) % 1.11/1.38 (define @t242 () (_ @t49 @t33)) % 1.11/1.38 (define @t243 () (forall @t64 @t242)) % 1.11/1.38 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.11/1.38 (define @t245 () (@list @t2 @t1 @t4)) % 1.11/1.38 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.11/1.38 (define @t247 () (= tptp.powersetE @t246)) % 1.11/1.38 (define @t248 () (=> @t39 @t44)) % 1.11/1.38 (define @t249 () (@list @t2 @t4 @t1)) % 1.11/1.38 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.11/1.38 (define @t251 () (= tptp.setunionI @t250)) % 1.11/1.38 (define @t252 () (=> @t39 @t173)) % 1.11/1.38 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.11/1.38 (define @t254 () (=> @t253 @t173)) % 1.11/1.38 (define @t255 () (forall @t179 @t254)) % 1.11/1.38 (define @t256 () (=> @t44 @t255)) % 1.11/1.38 (define @t257 () (forall @t46 @t256)) % 1.11/1.38 (define @t258 () (= tptp.setunionE @t257)) % 1.11/1.38 (define @t259 () (_ tptp.powerset @t43)) % 1.11/1.38 (define @t260 () (_ @t5 @t259)) % 1.11/1.38 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.11/1.38 (define @t262 () (= tptp.subPowSU @t261)) % 1.11/1.38 (define @t263 () (= @t153 @t22)) % 1.11/1.38 (define @t264 () (forall @t70 @t263)) % 1.11/1.38 (define @t265 () (exists @t9 @t264)) % 1.11/1.38 (define @t266 () (=> @t148 @t265)) % 1.11/1.38 (define @t267 () (forall @t150 @t266)) % 1.11/1.38 (define @t268 () (= tptp.exuE2 @t267)) % 1.11/1.38 (define @t269 () (and @t7 true)) % 1.11/1.38 (define @t270 () (exists @t9 @t269)) % 1.11/1.38 (define @t271 () (=> @t205 @t270)) % 1.11/1.38 (define @t272 () (forall @t64 @t271)) % 1.11/1.38 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.11/1.38 (define @t274 () (_ tptp.setadjoin @t19)) % 1.11/1.38 (define @t275 () (_ @t274 tptp.emptyset)) % 1.11/1.38 (define @t276 () (_ @t5 @t275)) % 1.11/1.38 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.11/1.38 (define @t278 () (= tptp.uniqinunit @t277)) % 1.11/1.38 (define @t279 () (_ @t24 tptp.emptyset)) % 1.11/1.38 (define @t280 () (_ @t20 @t279)) % 1.11/1.38 (define @t281 () (not @t280)) % 1.11/1.38 (define @t282 () (not @t129)) % 1.11/1.38 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.11/1.38 (define @t284 () (= tptp.notinsingleton @t283)) % 1.11/1.38 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.11/1.38 (define @t286 () (= tptp.eqinunit @t285)) % 1.11/1.38 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.11/1.38 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.11/1.38 (define @t289 () (@var "Xz" $$unsorted)) % 1.11/1.38 (define @t290 () (or (= @t289 @t4) (= @t289 @t19))) % 1.11/1.38 (define @t291 () (_ @t24 @t275)) % 1.11/1.38 (define @t292 () (_ tptp.in @t289)) % 1.11/1.38 (define @t293 () (_ @t292 @t291)) % 1.11/1.38 (define @t294 () (=> @t293 @t290)) % 1.11/1.38 (define @t295 () (@list @t4 @t19 @t289)) % 1.11/1.38 (define @t296 () (forall @t295 @t294)) % 1.11/1.38 (define @t297 () (= tptp.upairsetE @t296)) % 1.11/1.38 (define @t298 () (_ @t5 @t291)) % 1.11/1.38 (define @t299 () (forall @t135 @t298)) % 1.11/1.38 (define @t300 () (= tptp.upairsetIL @t299)) % 1.11/1.38 (define @t301 () (_ @t20 @t291)) % 1.11/1.38 (define @t302 () (forall @t135 @t301)) % 1.11/1.38 (define @t303 () (= tptp.upairsetIR @t302)) % 1.11/1.38 (define @t304 () (_ @t155 @t145)) % 1.11/1.38 (define @t305 () (= @t304 tptp.emptyset)) % 1.11/1.38 (define @t306 () (and @t7 @t144)) % 1.11/1.38 (define @t307 () (exists @t9 @t306)) % 1.11/1.38 (define @t308 () (=> @t307 (=> @t305 false))) % 1.11/1.38 (define @t309 () (@list @t2 @t143)) % 1.11/1.38 (define @t310 () (forall @t309 @t308)) % 1.11/1.38 (define @t311 () (= tptp.emptyE1 @t310)) % 1.11/1.38 (define @t312 () (@list @t143 @t4)) % 1.11/1.38 (define @t313 () (forall @t312 (=> @t15 @t144))) % 1.11/1.38 (define @t314 () (= tptp.vacuousDall @t313)) % 1.11/1.38 (define @t315 () (not @t144)) % 1.11/1.38 (define @t316 () (and @t7 @t315)) % 1.11/1.38 (define @t317 () (exists @t9 @t316)) % 1.11/1.38 (define @t318 () (forall @t9 (=> @t7 @t144))) % 1.11/1.38 (define @t319 () (not @t318)) % 1.11/1.38 (define @t320 () (=> @t319 @t317)) % 1.11/1.38 (define @t321 () (forall @t309 @t320)) % 1.11/1.38 (define @t322 () (= tptp.quantDeMorgan1 @t321)) % 1.11/1.38 (define @t323 () (not @t307)) % 1.11/1.38 (define @t324 () (forall @t9 (=> @t7 @t315))) % 1.11/1.38 (define @t325 () (=> @t324 @t323)) % 1.11/1.38 (define @t326 () (forall @t309 @t325)) % 1.11/1.38 (define @t327 () (= tptp.quantDeMorgan2 @t326)) % 1.11/1.38 (define @t328 () (=> @t323 @t324)) % 1.11/1.38 (define @t329 () (forall @t309 @t328)) % 1.11/1.38 (define @t330 () (= tptp.quantDeMorgan3 @t329)) % 1.11/1.38 (define @t331 () (=> @t317 @t319)) % 1.11/1.38 (define @t332 () (forall @t309 @t331)) % 1.11/1.38 (define @t333 () (= tptp.quantDeMorgan4 @t332)) % 1.11/1.38 (define @t334 () (_ @t49 @t174)) % 1.11/1.38 (define @t335 () (forall @t179 (=> @t173 @t334))) % 1.11/1.38 (define @t336 () (= tptp.prop2setI @t335)) % 1.11/1.38 (define @t337 () (_ tptp.set2prop @t174)) % 1.11/1.38 (define @t338 () (forall @t179 (=> @t173 @t337))) % 1.11/1.38 (define @t339 () (= tptp.prop2set2propI @t338)) % 1.11/1.38 (define @t340 () (=> @t169 @t148)) % 1.11/1.38 (define @t341 () (forall @t150 @t340)) % 1.11/1.38 (define @t342 () (= tptp.exuI1 @t341)) % 1.11/1.38 (define @t343 () (=> @t144 @t166)) % 1.11/1.38 (define @t344 () (forall @t135 @t343)) % 1.11/1.38 (define @t345 () (=> @t344 @t148)) % 1.11/1.38 (define @t346 () (=> @t186 @t345)) % 1.11/1.38 (define @t347 () (forall @t150 @t346)) % 1.11/1.38 (define @t348 () (= tptp.exuI3 @t347)) % 1.11/1.38 (define @t349 () (=> @t265 @t148)) % 1.11/1.38 (define @t350 () (forall @t150 @t349)) % 1.11/1.38 (define @t351 () (= tptp.exuI2 @t350)) % 1.11/1.38 (define @t352 () (_ @t20 @t1)) % 1.11/1.38 (define @t353 () (=> @t7 @t352)) % 1.11/1.38 (define @t354 () (forall @t135 (=> @t129 @t353))) % 1.11/1.38 (define @t355 () (=> @t3 @t354)) % 1.11/1.38 (define @t356 () (forall @t12 @t355)) % 1.11/1.38 (define @t357 () (= tptp.inCongP @t356)) % 1.11/1.38 (define @t358 () (= @t7 @t352)) % 1.11/1.38 (define @t359 () (forall @t135 (=> @t129 @t358))) % 1.11/1.38 (define @t360 () (=> @t3 @t359)) % 1.11/1.38 (define @t361 () (forall @t12 @t360)) % 1.11/1.38 (define @t362 () (= tptp.in__Cong @t361)) % 1.11/1.38 (define @t363 () (=> @t148 @t344)) % 1.11/1.38 (define @t364 () (forall @t150 @t363)) % 1.11/1.38 (define @t365 () (= tptp.exuE3u @t364)) % 1.11/1.38 (define @t366 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.11/1.38 (define @t367 () (_ @t366 @t4)) % 1.11/1.38 (define @t368 () (lambda @t9 @t367)) % 1.11/1.38 (define @t369 () (_ tptp.exu @t368)) % 1.11/1.38 (define @t370 () (= @t148 @t369)) % 1.11/1.38 (define @t371 () (_ @t366 @t19)) % 1.11/1.38 (define @t372 () (= @t144 @t371)) % 1.11/1.38 (define @t373 () (=> @t129 @t372)) % 1.11/1.38 (define @t374 () (forall @t135 @t373)) % 1.11/1.38 (define @t375 () (=> @t374 @t370)) % 1.11/1.38 (define @t376 () (@list @t143 @t366)) % 1.11/1.38 (define @t377 () (forall @t376 @t375)) % 1.11/1.38 (define @t378 () (= tptp.exu__Cong @t377)) % 1.11/1.38 (define @t379 () (= tptp.emptyset tptp.emptyset)) % 1.11/1.38 (define @t380 () (= tptp.emptyset__Cong @t379)) % 1.11/1.38 (define @t381 () (@var "Xu" $$unsorted)) % 1.11/1.38 (define @t382 () (_ @t274 @t381)) % 1.11/1.38 (define @t383 () (_ @t24 @t289)) % 1.11/1.38 (define @t384 () (= @t383 @t382)) % 1.11/1.38 (define @t385 () (= @t289 @t381)) % 1.11/1.38 (define @t386 () (@list @t289 @t381)) % 1.11/1.38 (define @t387 () (forall @t386 (=> @t385 @t384))) % 1.11/1.38 (define @t388 () (=> @t129 @t387)) % 1.11/1.38 (define @t389 () (forall @t135 @t388)) % 1.11/1.38 (define @t390 () (= tptp.setadjoin__Cong @t389)) % 1.11/1.38 (define @t391 () (_ tptp.powerset @t1)) % 1.11/1.38 (define @t392 () (= @t33 @t391)) % 1.11/1.38 (define @t393 () (forall @t12 (=> @t3 @t392))) % 1.11/1.38 (define @t394 () (= tptp.powerset__Cong @t393)) % 1.11/1.38 (define @t395 () (_ tptp.setunion @t1)) % 1.11/1.38 (define @t396 () (= @t43 @t395)) % 1.11/1.38 (define @t397 () (forall @t12 (=> @t3 @t396))) % 1.11/1.38 (define @t398 () (= tptp.setunion__Cong @t397)) % 1.11/1.38 (define @t399 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.11/1.38 (define @t400 () (= tptp.exuEu @t364)) % 1.11/1.38 (define @t401 () (_ tptp.descr @t368)) % 1.11/1.38 (define @t402 () (= @t146 @t401)) % 1.11/1.38 (define @t403 () (=> @t369 @t402)) % 1.11/1.38 (define @t404 () (=> @t148 @t403)) % 1.11/1.38 (define @t405 () (=> @t374 @t404)) % 1.11/1.38 (define @t406 () (forall @t376 @t405)) % 1.11/1.38 (define @t407 () (= tptp.descr__Cong @t406)) % 1.11/1.38 (define @t408 () (_ tptp.dsetconstr @t1)) % 1.11/1.38 (define @t409 () (_ @t408 @t368)) % 1.11/1.38 (define @t410 () (= @t304 @t409)) % 1.11/1.38 (define @t411 () (forall @t70 (=> @t352 @t373))) % 1.11/1.38 (define @t412 () (=> @t7 @t411)) % 1.11/1.38 (define @t413 () (forall @t9 @t412)) % 1.11/1.38 (define @t414 () (=> @t413 @t410)) % 1.11/1.38 (define @t415 () (forall @t376 @t414)) % 1.11/1.38 (define @t416 () (=> @t3 @t415)) % 1.11/1.38 (define @t417 () (forall @t12 @t416)) % 1.11/1.38 (define @t418 () (= tptp.dsetconstr__Cong @t417)) % 1.11/1.38 (define @t419 () (_ tptp.subset @t2)) % 1.11/1.38 (define @t420 () (_ @t419 @t1)) % 1.11/1.38 (define @t421 () (=> @t192 @t420)) % 1.11/1.38 (define @t422 () (forall @t12 @t421)) % 1.11/1.38 (define @t423 () (= tptp.subsetI1 @t422)) % 1.11/1.38 (define @t424 () (_ tptp.subset @t1)) % 1.11/1.38 (define @t425 () (_ @t424 @t2)) % 1.11/1.38 (define @t426 () (forall @t12 (=> @t3 @t425))) % 1.11/1.38 (define @t427 () (= tptp.eqimpsubset2 @t426)) % 1.11/1.38 (define @t428 () (forall @t12 (=> @t3 @t420))) % 1.11/1.38 (define @t429 () (= tptp.eqimpsubset1 @t428)) % 1.11/1.38 (define @t430 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.11/1.38 (define @t431 () (forall @t64 @t430)) % 1.11/1.38 (define @t432 () (= tptp.emptysetsubset @t431)) % 1.11/1.38 (define @t433 () (forall @t245 (=> @t420 @t191))) % 1.11/1.38 (define @t434 () (= tptp.subsetE @t433)) % 1.11/1.38 (define @t435 () (not @t6)) % 1.11/1.38 (define @t436 () (=> @t435 @t197)) % 1.11/1.38 (define @t437 () (forall @t245 (=> @t420 @t436))) % 1.11/1.38 (define @t438 () (= tptp.subsetE2 @t437)) % 1.11/1.38 (define @t439 () (not @t420)) % 1.11/1.38 (define @t440 () (=> @t435 @t439)) % 1.11/1.38 (define @t441 () (forall @t245 (=> @t7 @t440))) % 1.11/1.38 (define @t442 () (= tptp.notsubsetI @t441)) % 1.11/1.38 (define @t443 () (not @t3)) % 1.11/1.38 (define @t444 () (forall @t12 (=> @t439 @t443))) % 1.11/1.38 (define @t445 () (= tptp.notequalI1 @t444)) % 1.11/1.38 (define @t446 () (=> @t435 @t443)) % 1.11/1.38 (define @t447 () (forall @t245 (=> @t7 @t446))) % 1.11/1.38 (define @t448 () (= tptp.notequalI2 @t447)) % 1.11/1.38 (define @t449 () (_ @t419 @t2)) % 1.11/1.38 (define @t450 () (forall @t64 @t449)) % 1.11/1.38 (define @t451 () (= tptp.subsetRefl @t450)) % 1.11/1.38 (define @t452 () (_ @t419 @t104)) % 1.11/1.38 (define @t453 () (_ @t424 @t104)) % 1.11/1.38 (define @t454 () (=> @t453 @t452)) % 1.11/1.38 (define @t455 () (@list @t2 @t1 @t104)) % 1.11/1.38 (define @t456 () (forall @t455 (=> @t420 @t454))) % 1.11/1.38 (define @t457 () (= tptp.subsetTrans @t456)) % 1.11/1.38 (define @t458 () (_ @t419 @t25)) % 1.11/1.38 (define @t459 () (@list @t4 @t2)) % 1.11/1.38 (define @t460 () (forall @t459 @t458)) % 1.11/1.38 (define @t461 () (= tptp.setadjoinSub @t460)) % 1.11/1.38 (define @t462 () (_ @t24 @t1)) % 1.11/1.38 (define @t463 () (_ @t419 @t462)) % 1.11/1.38 (define @t464 () (forall @t249 (=> @t420 @t463))) % 1.11/1.38 (define @t465 () (= tptp.setadjoinSub2 @t464)) % 1.11/1.38 (define @t466 () (_ tptp.in @t2)) % 1.11/1.38 (define @t467 () (_ @t466 @t391)) % 1.11/1.38 (define @t468 () (forall @t12 (=> @t420 @t467))) % 1.11/1.38 (define @t469 () (= tptp.subset2powerset @t468)) % 1.11/1.38 (define @t470 () (=> @t425 @t3)) % 1.11/1.38 (define @t471 () (forall @t12 (=> @t420 @t470))) % 1.11/1.38 (define @t472 () (= tptp.setextsub @t471)) % 1.11/1.38 (define @t473 () (_ @t419 tptp.emptyset)) % 1.11/1.38 (define @t474 () (forall @t64 (=> @t473 @t196))) % 1.11/1.38 (define @t475 () (= tptp.subsetemptysetimpeq @t474)) % 1.11/1.38 (define @t476 () (forall @t12 (=> @t425 @t35))) % 1.11/1.38 (define @t477 () (= tptp.powersetI1 @t476)) % 1.11/1.38 (define @t478 () (forall @t12 (=> @t35 @t425))) % 1.11/1.38 (define @t479 () (= tptp.powersetE1 @t478)) % 1.11/1.38 (define @t480 () (_ @t466 @t33)) % 1.11/1.38 (define @t481 () (forall @t64 @t480)) % 1.11/1.38 (define @t482 () (= tptp.inPowerset @t481)) % 1.11/1.38 (define @t483 () (_ (_ tptp.subset @t33) @t391)) % 1.11/1.38 (define @t484 () (forall @t12 (=> @t420 @t483))) % 1.11/1.38 (define @t485 () (= tptp.powersetsubset @t484)) % 1.11/1.38 (define @t486 () (_ (_ tptp.in @t304) @t33)) % 1.11/1.38 (define @t487 () (forall @t309 @t486)) % 1.11/1.38 (define @t488 () (= tptp.sepInPowerset @t487)) % 1.11/1.38 (define @t489 () (_ (_ tptp.subset @t304) @t2)) % 1.11/1.38 (define @t490 () (forall @t309 @t489)) % 1.11/1.38 (define @t491 () (= tptp.sepSubset @t490)) % 1.11/1.38 (define @t492 () (_ (_ tptp.binunion @t2) @t1)) % 1.11/1.38 (define @t493 () (_ @t5 @t492)) % 1.11/1.38 (define @t494 () (forall @t245 (=> @t7 @t493))) % 1.11/1.38 (define @t495 () (= tptp.binunionIL @t494)) % 1.11/1.38 (define @t496 () (forall @t245 (=> @t6 @t493))) % 1.11/1.38 (define @t497 () (= tptp.binunionIR @t496)) % 1.11/1.38 (define @t498 () (=> @t6 @t173)) % 1.11/1.38 (define @t499 () (=> @t498 @t173)) % 1.11/1.38 (define @t500 () (=> @t7 @t173)) % 1.11/1.38 (define @t501 () (=> @t500 @t499)) % 1.11/1.38 (define @t502 () (@list @t2 @t1 @t4 @t173)) % 1.11/1.38 (define @t503 () (forall @t502 (=> @t493 @t501))) % 1.11/1.38 (define @t504 () (= tptp.binunionEcases @t503)) % 1.11/1.38 (define @t505 () (or @t7 @t6)) % 1.11/1.38 (define @t506 () (forall @t245 (=> @t493 @t505))) % 1.11/1.38 (define @t507 () (= tptp.binunionE @t506)) % 1.11/1.38 (define @t508 () (_ @t419 @t492)) % 1.11/1.38 (define @t509 () (forall @t12 @t508)) % 1.11/1.38 (define @t510 () (= tptp.binunionLsub @t509)) % 1.11/1.38 (define @t511 () (_ @t424 @t492)) % 1.11/1.38 (define @t512 () (forall @t12 @t511)) % 1.11/1.38 (define @t513 () (= tptp.binunionRsub @t512)) % 1.11/1.38 (define @t514 () (_ tptp.binintersect @t2)) % 1.11/1.38 (define @t515 () (_ @t514 @t1)) % 1.11/1.38 (define @t516 () (_ @t5 @t515)) % 1.11/1.38 (define @t517 () (=> @t6 @t516)) % 1.11/1.38 (define @t518 () (forall @t245 (=> @t7 @t517))) % 1.11/1.38 (define @t519 () (= tptp.binintersectI @t518)) % 1.11/1.38 (define @t520 () (_ tptp.subset @t104)) % 1.11/1.38 (define @t521 () (_ @t520 @t515)) % 1.11/1.38 (define @t522 () (_ @t520 @t1)) % 1.11/1.38 (define @t523 () (=> @t522 @t521)) % 1.11/1.38 (define @t524 () (_ @t520 @t2)) % 1.11/1.38 (define @t525 () (forall @t455 (=> @t524 @t523))) % 1.11/1.38 (define @t526 () (= tptp.binintersectSubset5 @t525)) % 1.11/1.38 (define @t527 () (forall @t245 (=> @t516 @t7))) % 1.11/1.38 (define @t528 () (= tptp.binintersectEL @t527)) % 1.11/1.38 (define @t529 () (_ tptp.subset @t515)) % 1.11/1.38 (define @t530 () (_ @t529 @t2)) % 1.11/1.38 (define @t531 () (forall @t12 @t530)) % 1.11/1.38 (define @t532 () (= tptp.binintersectLsub @t531)) % 1.11/1.38 (define @t533 () (= @t515 @t2)) % 1.11/1.38 (define @t534 () (=> @t420 @t533)) % 1.11/1.38 (define @t535 () (forall @t12 @t534)) % 1.11/1.38 (define @t536 () (= tptp.binintersectSubset2 @t535)) % 1.11/1.38 (define @t537 () (= @t515 @t1)) % 1.11/1.38 (define @t538 () (=> @t537 @t425)) % 1.11/1.38 (define @t539 () (forall @t12 @t538)) % 1.11/1.38 (define @t540 () (= tptp.binintersectSubset3 @t539)) % 1.11/1.38 (define @t541 () (forall @t245 (=> @t516 @t6))) % 1.11/1.38 (define @t542 () (= tptp.binintersectER @t541)) % 1.11/1.38 (define @t543 () (and @t7 @t6)) % 1.11/1.38 (define @t544 () (exists @t9 @t543)) % 1.11/1.38 (define @t545 () (not @t544)) % 1.11/1.38 (define @t546 () (=> @t545 (= @t515 tptp.emptyset))) % 1.11/1.38 (define @t547 () (forall @t12 @t546)) % 1.11/1.38 (define @t548 () (= tptp.disjointsetsI1 @t547)) % 1.11/1.38 (define @t549 () (_ @t529 @t1)) % 1.11/1.38 (define @t550 () (forall @t12 @t549)) % 1.11/1.38 (define @t551 () (= tptp.binintersectRsub @t550)) % 1.11/1.38 (define @t552 () (=> @t425 @t537)) % 1.11/1.38 (define @t553 () (forall @t12 @t552)) % 1.11/1.38 (define @t554 () (= tptp.binintersectSubset4 @t553)) % 1.11/1.38 (define @t555 () (=> @t533 @t420)) % 1.11/1.38 (define @t556 () (forall @t12 @t555)) % 1.11/1.38 (define @t557 () (= tptp.binintersectSubset1 @t556)) % 1.11/1.38 (define @t558 () (_ @t514 @t104)) % 1.11/1.38 (define @t559 () (_ (_ tptp.binunion @t515) @t558)) % 1.11/1.38 (define @t560 () (_ (_ tptp.binunion @t1) @t104)) % 1.11/1.38 (define @t561 () (_ @t514 @t560)) % 1.11/1.38 (define @t562 () (= @t561 @t559)) % 1.11/1.38 (define @t563 () (forall @t455 @t562)) % 1.11/1.38 (define @t564 () (= tptp.bs114d @t563)) % 1.11/1.38 (define @t565 () (_ (_ tptp.setminus @t2) @t1)) % 1.11/1.38 (define @t566 () (_ @t5 @t565)) % 1.11/1.38 (define @t567 () (=> @t435 @t566)) % 1.11/1.38 (define @t568 () (forall @t245 (=> @t7 @t567))) % 1.11/1.38 (define @t569 () (= tptp.setminusI @t568)) % 1.11/1.38 (define @t570 () (forall @t245 (=> @t566 @t7))) % 1.11/1.38 (define @t571 () (= tptp.setminusEL @t570)) % 1.11/1.38 (define @t572 () (forall @t245 (=> @t566 @t435))) % 1.11/1.38 (define @t573 () (= tptp.setminusER @t572)) % 1.11/1.38 (define @t574 () (= @t565 tptp.emptyset)) % 1.11/1.38 (define @t575 () (=> @t420 @t574)) % 1.11/1.38 (define @t576 () (forall @t12 @t575)) % 1.11/1.38 (define @t577 () (= tptp.setminusSubset2 @t576)) % 1.11/1.38 (define @t578 () (not @t566)) % 1.11/1.38 (define @t579 () (forall @t245 (=> @t578 @t191))) % 1.11/1.38 (define @t580 () (= tptp.setminusERneg @t579)) % 1.11/1.38 (define @t581 () (forall @t245 (=> @t578 @t436))) % 1.11/1.38 (define @t582 () (= tptp.setminusELneg @t581)) % 1.11/1.38 (define @t583 () (forall @t245 (=> @t197 @t578))) % 1.11/1.38 (define @t584 () (= tptp.setminusILneg @t583)) % 1.11/1.38 (define @t585 () (forall @t245 (=> @t6 @t578))) % 1.11/1.38 (define @t586 () (= tptp.setminusIRneg @t585)) % 1.11/1.38 (define @t587 () (_ (_ tptp.subset @t565) @t2)) % 1.11/1.38 (define @t588 () (forall @t12 @t587)) % 1.11/1.38 (define @t589 () (= tptp.setminusLsub @t588)) % 1.11/1.38 (define @t590 () (=> @t574 @t420)) % 1.11/1.38 (define @t591 () (forall @t12 @t590)) % 1.11/1.38 (define @t592 () (= tptp.setminusSubset1 @t591)) % 1.11/1.38 (define @t593 () (=> @t197 @t498)) % 1.11/1.38 (define @t594 () (=> @t593 @t173)) % 1.11/1.38 (define @t595 () (=> @t435 @t173)) % 1.11/1.38 (define @t596 () (=> @t7 @t595)) % 1.11/1.38 (define @t597 () (forall @t179 (=> @t596 @t594))) % 1.11/1.38 (define @t598 () (_ (_ tptp.symdiff @t2) @t1)) % 1.11/1.38 (define @t599 () (_ @t5 @t598)) % 1.11/1.38 (define @t600 () (=> @t599 @t597)) % 1.11/1.38 (define @t601 () (forall @t245 @t600)) % 1.11/1.38 (define @t602 () (= tptp.symdiffE @t601)) % 1.11/1.38 (define @t603 () (=> @t435 @t599)) % 1.11/1.38 (define @t604 () (forall @t245 (=> @t7 @t603))) % 1.11/1.38 (define @t605 () (= tptp.symdiffI1 @t604)) % 1.11/1.38 (define @t606 () (=> @t6 @t599)) % 1.11/1.38 (define @t607 () (forall @t245 (=> @t197 @t606))) % 1.11/1.38 (define @t608 () (= tptp.symdiffI2 @t607)) % 1.11/1.38 (define @t609 () (not @t599)) % 1.11/1.38 (define @t610 () (=> @t6 @t609)) % 1.11/1.38 (define @t611 () (forall @t245 (=> @t7 @t610))) % 1.11/1.38 (define @t612 () (= tptp.symdiffIneg1 @t611)) % 1.11/1.38 (define @t613 () (=> @t435 @t609)) % 1.11/1.38 (define @t614 () (forall @t245 (=> @t197 @t613))) % 1.11/1.38 (define @t615 () (= tptp.symdiffIneg2 @t614)) % 1.11/1.38 (define @t616 () (_ (_ tptp.setadjoin @t291) tptp.emptyset)) % 1.11/1.38 (define @t617 () (_ tptp.setadjoin @t279)) % 1.11/1.38 (define @t618 () (_ @t617 @t616)) % 1.11/1.38 (define @t619 () (_ tptp.setunion @t618)) % 1.11/1.38 (define @t620 () (_ @t5 @t619)) % 1.11/1.38 (define @t621 () (forall @t135 @t620)) % 1.11/1.38 (define @t622 () (= tptp.setukpairIL @t621)) % 1.11/1.38 (define @t623 () (_ @t20 @t619)) % 1.11/1.38 (define @t624 () (forall @t135 @t623)) % 1.11/1.38 (define @t625 () (= tptp.setukpairIR @t624)) % 1.11/1.38 (define @t626 () (_ tptp.iskpair @t618)) % 1.11/1.38 (define @t627 () (forall @t135 @t626)) % 1.11/1.38 (define @t628 () (= tptp.kpairiskpair @t627)) % 1.11/1.38 (define @t629 () (_ tptp.kpair @t4)) % 1.11/1.38 (define @t630 () (_ @t629 @t19)) % 1.11/1.38 (define @t631 () (_ tptp.iskpair @t630)) % 1.11/1.38 (define @t632 () (forall @t135 @t631)) % 1.11/1.38 (define @t633 () (= tptp.kpairp @t632)) % 1.11/1.38 (define @t634 () (_ (_ tptp.subset @t279) @t2)) % 1.11/1.38 (define @t635 () (forall @t46 (=> @t7 @t634))) % 1.11/1.38 (define @t636 () (= tptp.singletonsubset @t635)) % 1.11/1.38 (define @t637 () (_ tptp.in @t279)) % 1.11/1.38 (define @t638 () (_ @t637 @t33)) % 1.11/1.38 (define @t639 () (forall @t46 (=> @t7 @t638))) % 1.11/1.38 (define @t640 () (= tptp.singletoninpowerset @t639)) % 1.11/1.38 (define @t641 () (_ tptp.powerset @t492)) % 1.11/1.38 (define @t642 () (_ @t637 @t641)) % 1.11/1.38 (define @t643 () (forall @t245 (=> @t7 @t642))) % 1.11/1.38 (define @t644 () (= tptp.singletoninpowunion @t643)) % 1.11/1.38 (define @t645 () (_ (_ tptp.subset @t291) @t492)) % 1.11/1.38 (define @t646 () (forall @t70 (=> @t352 @t645))) % 1.11/1.38 (define @t647 () (=> @t7 @t646)) % 1.11/1.38 (define @t648 () (forall @t245 @t647)) % 1.11/1.38 (define @t649 () (= tptp.upairsubunion @t648)) % 1.11/1.38 (define @t650 () (_ (_ tptp.in @t291) @t641)) % 1.11/1.38 (define @t651 () (forall @t70 (=> @t352 @t650))) % 1.11/1.38 (define @t652 () (=> @t7 @t651)) % 1.11/1.38 (define @t653 () (forall @t245 @t652)) % 1.11/1.38 (define @t654 () (= tptp.upairinpowunion @t653)) % 1.11/1.38 (define @t655 () (_ (_ tptp.subset @t618) @t641)) % 1.11/1.38 (define @t656 () (forall @t70 (=> @t352 @t655))) % 1.11/1.38 (define @t657 () (=> @t7 @t656)) % 1.11/1.38 (define @t658 () (forall @t245 @t657)) % 1.11/1.38 (define @t659 () (= tptp.ubforcartprodlem1 @t658)) % 1.11/1.38 (define @t660 () (_ tptp.powerset @t641)) % 1.11/1.38 (define @t661 () (_ (_ tptp.in @t618) @t660)) % 1.11/1.38 (define @t662 () (forall @t70 (=> @t352 @t661))) % 1.11/1.38 (define @t663 () (=> @t7 @t662)) % 1.11/1.38 (define @t664 () (forall @t245 @t663)) % 1.11/1.38 (define @t665 () (= tptp.ubforcartprodlem2 @t664)) % 1.11/1.38 (define @t666 () (_ tptp.in @t630)) % 1.11/1.38 (define @t667 () (_ @t666 @t660)) % 1.11/1.38 (define @t668 () (forall @t70 (=> @t352 @t667))) % 1.11/1.38 (define @t669 () (=> @t7 @t668)) % 1.11/1.38 (define @t670 () (forall @t245 @t669)) % 1.11/1.38 (define @t671 () (= tptp.ubforcartprodlem3 @t670)) % 1.11/1.38 (define @t672 () (_ (_ tptp.cartprod @t2) @t1)) % 1.11/1.38 (define @t673 () (_ @t666 @t672)) % 1.11/1.38 (define @t674 () (forall @t70 (=> @t352 @t673))) % 1.11/1.38 (define @t675 () (=> @t7 @t674)) % 1.11/1.38 (define @t676 () (forall @t245 @t675)) % 1.11/1.38 (define @t677 () (= tptp.cartprodpairin @t676)) % 1.11/1.38 (define @t678 () (= @t381 @t630)) % 1.11/1.38 (define @t679 () (and @t352 @t678)) % 1.11/1.38 (define @t680 () (exists @t70 @t679)) % 1.11/1.38 (define @t681 () (and @t7 @t680)) % 1.11/1.38 (define @t682 () (exists @t9 @t681)) % 1.11/1.38 (define @t683 () (_ tptp.in @t381)) % 1.11/1.38 (define @t684 () (_ @t683 @t672)) % 1.11/1.38 (define @t685 () (=> @t684 @t682)) % 1.11/1.38 (define @t686 () (@list @t2 @t1 @t381)) % 1.11/1.38 (define @t687 () (forall @t686 @t685)) % 1.11/1.38 (define @t688 () (= tptp.cartprodmempair1 @t687)) % 1.11/1.38 (define @t689 () (_ tptp.iskpair @t381)) % 1.11/1.38 (define @t690 () (forall @t686 (=> @t684 @t689))) % 1.11/1.38 (define @t691 () (= tptp.cartprodmempair @t690)) % 1.11/1.38 (define @t692 () (@var "X" $$unsorted)) % 1.11/1.38 (define @t693 () (_ @t5 @t692)) % 1.11/1.38 (define @t694 () (_ (_ tptp.in @t692) @t2)) % 1.11/1.38 (define @t695 () (and @t694 @t693)) % 1.11/1.38 (define @t696 () (@list @t692)) % 1.11/1.38 (define @t697 () (exists @t696 @t695)) % 1.11/1.38 (define @t698 () (=> @t44 @t697)) % 1.11/1.38 (define @t699 () (forall @t46 @t698)) % 1.11/1.38 (define @t700 () (= tptp.setunionE2 @t699)) % 1.11/1.38 (define @t701 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.11/1.38 (define @t702 () (_ tptp.setunion @t701)) % 1.11/1.38 (define @t703 () (_ (_ tptp.subset @t702) @t2)) % 1.11/1.38 (define @t704 () (forall @t64 @t703)) % 1.11/1.38 (define @t705 () (= tptp.setunionsingleton1 @t704)) % 1.11/1.38 (define @t706 () (_ @t419 @t702)) % 1.11/1.38 (define @t707 () (forall @t64 @t706)) % 1.11/1.38 (define @t708 () (= tptp.setunionsingleton2 @t707)) % 1.11/1.38 (define @t709 () (_ tptp.setunion @t279)) % 1.11/1.38 (define @t710 () (forall @t9 (= @t709 @t4))) % 1.11/1.38 (define @t711 () (= tptp.setunionsingleton @t710)) % 1.11/1.38 (define @t712 () (_ tptp.singleton @t304)) % 1.11/1.38 (define @t713 () (=> @t307 @t712)) % 1.11/1.38 (define @t714 () (forall @t70 (=> @t21 @t343))) % 1.11/1.38 (define @t715 () (=> @t7 @t714)) % 1.11/1.38 (define @t716 () (forall @t9 @t715)) % 1.11/1.38 (define @t717 () (=> @t716 @t713)) % 1.11/1.38 (define @t718 () (forall @t309 @t717)) % 1.11/1.38 (define @t719 () (= tptp.singletonprop @t718)) % 1.11/1.38 (define @t720 () (_ tptp.ex1 @t2)) % 1.11/1.38 (define @t721 () (_ @t720 @t145)) % 1.11/1.38 (define @t722 () (=> @t721 @t307)) % 1.11/1.38 (define @t723 () (forall @t309 @t722)) % 1.11/1.38 (define @t724 () (= tptp.ex1E1 @t723)) % 1.11/1.38 (define @t725 () (=> @t153 @t22)) % 1.11/1.38 (define @t726 () (=> @t21 @t725)) % 1.11/1.38 (define @t727 () (forall @t70 @t726)) % 1.11/1.38 (define @t728 () (=> @t727 (_ @t720 @t154))) % 1.11/1.38 (define @t729 () (=> @t144 @t728)) % 1.11/1.38 (define @t730 () (=> @t7 @t729)) % 1.11/1.38 (define @t731 () (forall @t159 @t730)) % 1.11/1.38 (define @t732 () (= tptp.ex1I @t731)) % 1.11/1.38 (define @t733 () (=> @t307 @t721)) % 1.11/1.38 (define @t734 () (=> @t716 @t733)) % 1.11/1.38 (define @t735 () (forall @t309 @t734)) % 1.11/1.38 (define @t736 () (= tptp.ex1I2 @t735)) % 1.11/1.38 (define @t737 () (=> (= @t279 @t275) @t129)) % 1.11/1.38 (define @t738 () (forall @t135 @t737)) % 1.11/1.38 (define @t739 () (= tptp.singletonsuniq @t738)) % 1.11/1.38 (define @t740 () (= @t4 @t289)) % 1.11/1.38 (define @t741 () (_ tptp.setadjoin @t289)) % 1.11/1.38 (define @t742 () (_ @t741 tptp.emptyset)) % 1.11/1.38 (define @t743 () (_ (_ tptp.in @t742) @t618)) % 1.11/1.38 (define @t744 () (forall @t295 (=> @t743 @t740))) % 1.11/1.38 (define @t745 () (= tptp.setukpairinjL1 @t744)) % 1.11/1.38 (define @t746 () (lambda @t9 (_ @t637 @t381))) % 1.11/1.38 (define @t747 () (_ tptp.setunion @t381)) % 1.11/1.38 (define @t748 () (_ tptp.dsetconstr @t747)) % 1.11/1.38 (define @t749 () (_ @t748 @t746)) % 1.11/1.38 (define @t750 () (=> @t689 (_ tptp.singleton @t749))) % 1.11/1.38 (define @t751 () (@list @t381)) % 1.11/1.38 (define @t752 () (forall @t751 @t750)) % 1.11/1.38 (define @t753 () (= tptp.kfstsingleton @t752)) % 1.11/1.38 (define @t754 () (_ tptp.setunion @t692)) % 1.11/1.38 (define @t755 () (_ (_ tptp.in @t754) @t692)) % 1.11/1.38 (define @t756 () (=> (_ tptp.singleton @t692) @t755)) % 1.11/1.38 (define @t757 () (forall @t696 @t756)) % 1.11/1.38 (define @t758 () (= tptp.theprop @t757)) % 1.11/1.38 (define @t759 () (_ tptp.kfst @t630)) % 1.11/1.38 (define @t760 () (= @t759 @t4)) % 1.11/1.38 (define @t761 () (forall @t135 @t760)) % 1.11/1.38 (define @t762 () (= tptp.kfstpairEq @t761)) % 1.11/1.38 (define @t763 () (_ tptp.kfst @t381)) % 1.11/1.38 (define @t764 () (_ (_ tptp.in @t763) @t2)) % 1.11/1.38 (define @t765 () (forall @t686 (=> @t684 @t764))) % 1.11/1.38 (define @t766 () (= tptp.cartprodfstin @t765)) % 1.11/1.38 (define @t767 () (_ (_ tptp.setadjoin @t381) tptp.emptyset)) % 1.11/1.38 (define @t768 () (_ @t741 @t767)) % 1.11/1.38 (define @t769 () (_ (_ tptp.setadjoin @t768) tptp.emptyset)) % 1.11/1.38 (define @t770 () (_ (_ tptp.setadjoin @t742) @t769)) % 1.11/1.38 (define @t771 () (= @t618 @t770)) % 1.11/1.38 (define @t772 () (@list @t4 @t19 @t289 @t381)) % 1.11/1.38 (define @t773 () (forall @t772 (=> @t771 @t740))) % 1.11/1.38 (define @t774 () (= tptp.setukpairinjL2 @t773)) % 1.11/1.38 (define @t775 () (_ (_ tptp.kpair @t289) @t381)) % 1.11/1.38 (define @t776 () (= @t630 @t775)) % 1.11/1.38 (define @t777 () (forall @t772 (=> @t776 @t740))) % 1.11/1.38 (define @t778 () (= tptp.setukpairinjL @t777)) % 1.11/1.38 (define @t779 () (=> @t129 (= @t291 @t279))) % 1.11/1.38 (define @t780 () (forall @t135 @t779)) % 1.11/1.38 (define @t781 () (= tptp.setukpairinjR11 @t780)) % 1.11/1.38 (define @t782 () (_ @t617 tptp.emptyset)) % 1.11/1.38 (define @t783 () (= @t618 @t782)) % 1.11/1.38 (define @t784 () (forall @t135 (=> @t129 @t783))) % 1.11/1.38 (define @t785 () (= tptp.setukpairinjR12 @t784)) % 1.11/1.38 (define @t786 () (= @t19 @t381)) % 1.11/1.38 (define @t787 () (=> @t385 @t786)) % 1.11/1.38 (define @t788 () (forall @t772 (=> @t771 @t787))) % 1.11/1.38 (define @t789 () (= tptp.setukpairinjR1 @t788)) % 1.11/1.38 (define @t790 () (= @t291 @t742)) % 1.11/1.38 (define @t791 () (forall @t295 (=> @t790 @t129))) % 1.11/1.38 (define @t792 () (= tptp.upairequniteq @t791)) % 1.11/1.38 (define @t793 () (forall @t772 (=> @t771 @t786))) % 1.11/1.38 (define @t794 () (= tptp.setukpairinjR2 @t793)) % 1.11/1.38 (define @t795 () (forall @t772 (=> @t776 @t786))) % 1.11/1.38 (define @t796 () (= tptp.setukpairinjR @t795)) % 1.11/1.38 (define @t797 () (_ tptp.kpair @t763)) % 1.11/1.38 (define @t798 () (lambda @t9 (= @t381 (_ @t797 @t4)))) % 1.11/1.38 (define @t799 () (_ @t748 @t798)) % 1.11/1.38 (define @t800 () (=> @t689 (_ tptp.singleton @t799))) % 1.11/1.38 (define @t801 () (forall @t751 @t800)) % 1.11/1.38 (define @t802 () (= tptp.ksndsingleton @t801)) % 1.11/1.38 (define @t803 () (_ tptp.ksnd @t630)) % 1.11/1.38 (define @t804 () (= @t803 @t19)) % 1.11/1.38 (define @t805 () (forall @t135 @t804)) % 1.11/1.38 (define @t806 () (= tptp.ksndpairEq @t805)) % 1.11/1.38 (define @t807 () (_ tptp.ksnd @t381)) % 1.11/1.38 (define @t808 () (_ @t797 @t807)) % 1.11/1.38 (define @t809 () (= @t808 @t381)) % 1.11/1.38 (define @t810 () (=> @t689 @t809)) % 1.11/1.38 (define @t811 () (forall @t751 @t810)) % 1.11/1.38 (define @t812 () (= tptp.kpairsurjEq @t811)) % 1.11/1.38 (define @t813 () (_ (_ tptp.in @t807) @t1)) % 1.11/1.38 (define @t814 () (forall @t686 (=> @t684 @t813))) % 1.11/1.38 (define @t815 () (= tptp.cartprodsndin @t814)) % 1.11/1.38 (define @t816 () (@list @t2 @t1 @t4 @t19)) % 1.11/1.38 (define @t817 () (forall @t816 (=> @t673 @t7))) % 1.11/1.38 (define @t818 () (= tptp.cartprodpairmemEL @t817)) % 1.11/1.38 (define @t819 () (forall @t816 (=> @t673 @t352))) % 1.11/1.38 (define @t820 () (= tptp.cartprodpairmemER @t819)) % 1.11/1.38 (define @t821 () (=> @t352 (= @t630 @t630))) % 1.11/1.38 (define @t822 () (forall @t70 @t821)) % 1.11/1.38 (define @t823 () (=> @t7 @t822)) % 1.11/1.38 (define @t824 () (forall @t245 @t823)) % 1.11/1.38 (define @t825 () (= tptp.cartprodmempaircEq @t824)) % 1.11/1.38 (define @t826 () (=> @t352 @t760)) % 1.11/1.38 (define @t827 () (forall @t70 @t826)) % 1.11/1.38 (define @t828 () (=> @t7 @t827)) % 1.11/1.38 (define @t829 () (forall @t245 @t828)) % 1.11/1.38 (define @t830 () (= tptp.cartprodfstpairEq @t829)) % 1.11/1.38 (define @t831 () (=> @t352 @t804)) % 1.11/1.38 (define @t832 () (forall @t70 @t831)) % 1.11/1.38 (define @t833 () (=> @t7 @t832)) % 1.11/1.38 (define @t834 () (forall @t245 @t833)) % 1.11/1.38 (define @t835 () (= tptp.cartprodsndpairEq @t834)) % 1.11/1.38 (define @t836 () (=> @t684 @t809)) % 1.11/1.38 (define @t837 () (forall @t686 @t836)) % 1.11/1.38 (define @t838 () (= tptp.cartprodpairsurjEq @t837)) % 1.11/1.38 (define @t839 () (_ (_ @t67 @t289) @t381)) % 1.11/1.38 (define @t840 () (lambda @t386 @t839)) % 1.11/1.38 (define @t841 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 1.11/1.38 (define @t842 () (_ @t841 @t840)) % 1.11/1.38 (define @t843 () (_ @t666 @t842)) % 1.11/1.38 (define @t844 () (=> @t76 @t843)) % 1.11/1.38 (define @t845 () (forall @t70 (=> @t352 @t844))) % 1.11/1.38 (define @t846 () (=> @t7 @t845)) % 1.11/1.38 (define @t847 () (@list @t2 @t1 @t67 @t4)) % 1.11/1.38 (define @t848 () (forall @t847 @t846)) % 1.11/1.38 (define @t849 () (= tptp.dpsetconstrI @t848)) % 1.11/1.38 (define @t850 () (lambda @t135 @t76)) % 1.11/1.38 (define @t851 () (_ @t841 @t850)) % 1.11/1.38 (define @t852 () (_ (_ tptp.subset @t851) @t672)) % 1.11/1.38 (define @t853 () (@list @t2 @t1 @t67)) % 1.11/1.38 (define @t854 () (forall @t853 @t852)) % 1.11/1.38 (define @t855 () (= tptp.dpsetconstrSub @t854)) % 1.11/1.38 (define @t856 () (_ (_ tptp.breln @t2) @t1)) % 1.11/1.38 (define @t857 () (forall @t853 (_ @t856 @t851))) % 1.11/1.38 (define @t858 () (= tptp.setOfPairsIsBReln @t857)) % 1.11/1.38 (define @t859 () (=> @t843 @t76)) % 1.11/1.38 (define @t860 () (forall @t70 (=> @t352 @t859))) % 1.11/1.38 (define @t861 () (=> @t7 @t860)) % 1.11/1.38 (define @t862 () (forall @t847 @t861)) % 1.11/1.38 (define @t863 () (= tptp.dpsetconstrERa @t862)) % 1.11/1.38 (define @t864 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.11/1.38 (define @t865 () (forall @t864 (=> @t843 @t7))) % 1.11/1.38 (define @t866 () (= tptp.dpsetconstrEL1 @t865)) % 1.11/1.38 (define @t867 () (forall @t864 (=> @t843 @t352))) % 1.11/1.38 (define @t868 () (= tptp.dpsetconstrEL2 @t867)) % 1.11/1.38 (define @t869 () (forall @t864 @t859)) % 1.11/1.38 (define @t870 () (= tptp.dpsetconstrER @t869)) % 1.11/1.38 (define @t871 () (@var "Xf" $$unsorted)) % 1.11/1.38 (define @t872 () (_ @t666 @t871)) % 1.11/1.38 (define @t873 () (lambda @t70 @t872)) % 1.11/1.38 (define @t874 () (_ @t408 @t873)) % 1.11/1.38 (define @t875 () (=> @t7 (_ tptp.singleton @t874))) % 1.11/1.38 (define @t876 () (forall @t9 @t875)) % 1.11/1.38 (define @t877 () (_ (_ tptp.func @t2) @t1)) % 1.11/1.38 (define @t878 () (_ @t877 @t871)) % 1.11/1.38 (define @t879 () (=> @t878 @t876)) % 1.11/1.38 (define @t880 () (@list @t2 @t1 @t871)) % 1.11/1.38 (define @t881 () (forall @t880 @t879)) % 1.11/1.38 (define @t882 () (= tptp.funcImageSingleton @t881)) % 1.11/1.38 (define @t883 () (_ tptp.setunion @t874)) % 1.11/1.38 (define @t884 () (_ (_ tptp.in @t883) @t1)) % 1.11/1.38 (define @t885 () (forall @t9 (=> @t7 @t884))) % 1.11/1.38 (define @t886 () (=> @t878 @t885)) % 1.11/1.38 (define @t887 () (forall @t880 @t886)) % 1.11/1.38 (define @t888 () (= tptp.apProp @t887)) % 1.11/1.38 (define @t889 () (_ (_ (_ (_ tptp.ap @t2) @t1) @t871) @t4)) % 1.11/1.38 (define @t890 () (=> @t7 (_ (_ tptp.in @t889) @t1))) % 1.11/1.38 (define @t891 () (forall @t9 @t890)) % 1.11/1.38 (define @t892 () (=> @t878 @t891)) % 1.11/1.38 (define @t893 () (forall @t880 @t892)) % 1.11/1.38 (define @t894 () (= tptp.app @t893)) % 1.11/1.38 (define @t895 () (_ (_ tptp.funcSet @t2) @t1)) % 1.11/1.38 (define @t896 () (_ tptp.in @t871)) % 1.11/1.38 (define @t897 () (_ @t896 @t895)) % 1.11/1.38 (define @t898 () (=> @t897 @t878)) % 1.11/1.38 (define @t899 () (forall @t880 @t898)) % 1.11/1.38 (define @t900 () (= tptp.infuncsetfunc @t899)) % 1.11/1.38 (define @t901 () (=> @t897 @t891)) % 1.11/1.38 (define @t902 () (forall @t880 @t901)) % 1.11/1.38 (define @t903 () (= tptp.ap2p @t902)) % 1.11/1.38 (define @t904 () (=> @t878 @t897)) % 1.11/1.38 (define @t905 () (forall @t880 @t904)) % 1.11/1.38 (define @t906 () (= tptp.funcinfuncset @t905)) % 1.11/1.38 (define @t907 () (@var "Xf" (-> $$unsorted $$unsorted))) % 1.11/1.38 (define @t908 () (_ @t907 @t4)) % 1.11/1.38 (define @t909 () (lambda @t135 (= @t908 @t19))) % 1.11/1.38 (define @t910 () (_ @t841 @t909)) % 1.11/1.38 (define @t911 () (_ (_ tptp.in @t908) @t1)) % 1.11/1.38 (define @t912 () (forall @t9 (=> @t7 @t911))) % 1.11/1.38 (define @t913 () (=> @t912 (_ @t877 @t910))) % 1.11/1.38 (define @t914 () (@list @t2 @t1 @t907)) % 1.11/1.38 (define @t915 () (forall @t914 @t913)) % 1.11/1.38 (define @t916 () (= tptp.lamProp @t915)) % 1.11/1.38 (define @t917 () (lambda @t9 @t908)) % 1.11/1.38 (define @t918 () (_ (_ (_ tptp.lam @t2) @t1) @t917)) % 1.11/1.38 (define @t919 () (=> @t912 (_ @t877 @t918))) % 1.11/1.38 (define @t920 () (forall @t914 @t919)) % 1.11/1.38 (define @t921 () (= tptp.lamp @t920)) % 1.11/1.38 (define @t922 () (=> @t912 (_ (_ tptp.in @t918) @t895))) % 1.11/1.38 (define @t923 () (forall @t914 @t922)) % 1.11/1.38 (define @t924 () (= tptp.lam2p @t923)) % 1.11/1.38 (define @t925 () (@var "R" $$unsorted)) % 1.11/1.38 (define @t926 () (_ @t5 @t925)) % 1.11/1.38 (define @t927 () (forall @t9 (=> @t926 @t144))) % 1.11/1.38 (define @t928 () (_ @t143 @t630)) % 1.11/1.38 (define @t929 () (_ @t666 @t925)) % 1.11/1.38 (define @t930 () (=> @t929 @t928)) % 1.11/1.38 (define @t931 () (forall @t70 (=> @t352 @t930))) % 1.11/1.38 (define @t932 () (=> @t7 @t931)) % 1.11/1.38 (define @t933 () (forall @t9 @t932)) % 1.11/1.38 (define @t934 () (=> @t933 @t927)) % 1.11/1.38 (define @t935 () (forall @t150 @t934)) % 1.11/1.38 (define @t936 () (_ @t856 @t925)) % 1.11/1.38 (define @t937 () (=> @t936 @t935)) % 1.11/1.38 (define @t938 () (@list @t2 @t1 @t925)) % 1.11/1.38 (define @t939 () (forall @t938 @t937)) % 1.11/1.38 (define @t940 () (= tptp.brelnall1 @t939)) % 1.11/1.38 (define @t941 () (= tptp.brelnall2 @t939)) % 1.11/1.38 (define @t942 () (=> @t721 @t716)) % 1.11/1.38 (define @t943 () (forall @t309 @t942)) % 1.11/1.38 (define @t944 () (= tptp.ex1E2 @t943)) % 1.11/1.38 (define @t945 () (=> @t7 (_ (_ tptp.in (_ @t629 @t889)) @t871))) % 1.11/1.38 (define @t946 () (forall @t9 @t945)) % 1.11/1.38 (define @t947 () (=> @t878 @t946)) % 1.11/1.38 (define @t948 () (forall @t880 @t947)) % 1.11/1.38 (define @t949 () (=> tptp.ex1E2 @t948)) % 1.11/1.38 (define @t950 () (=> tptp.brelnall2 @t949)) % 1.11/1.38 (define @t951 () (=> tptp.brelnall1 @t950)) % 1.11/1.38 (define @t952 () (=> tptp.lam2p @t951)) % 1.11/1.38 (define @t953 () (=> tptp.lamp @t952)) % 1.11/1.38 (define @t954 () (=> tptp.lamProp @t953)) % 1.11/1.38 (define @t955 () (=> tptp.funcinfuncset @t954)) % 1.11/1.38 (define @t956 () (=> tptp.ap2p @t955)) % 1.11/1.38 (define @t957 () (=> tptp.infuncsetfunc @t956)) % 1.11/1.38 (define @t958 () (=> tptp.app @t957)) % 1.11/1.38 (define @t959 () (=> tptp.apProp @t958)) % 1.11/1.38 (define @t960 () (=> tptp.funcImageSingleton @t959)) % 1.11/1.38 (define @t961 () (=> tptp.dpsetconstrER @t960)) % 1.11/1.38 (define @t962 () (=> tptp.dpsetconstrEL2 @t961)) % 1.11/1.38 (define @t963 () (=> tptp.dpsetconstrEL1 @t962)) % 1.11/1.38 (define @t964 () (=> tptp.dpsetconstrERa @t963)) % 1.11/1.38 (define @t965 () (=> tptp.setOfPairsIsBReln @t964)) % 1.11/1.38 (define @t966 () (=> tptp.dpsetconstrSub @t965)) % 1.11/1.38 (define @t967 () (=> tptp.dpsetconstrI @t966)) % 1.11/1.38 (define @t968 () (=> tptp.cartprodpairsurjEq @t967)) % 1.11/1.38 (define @t969 () (=> tptp.cartprodsndpairEq @t968)) % 1.11/1.38 (define @t970 () (=> tptp.cartprodfstpairEq @t969)) % 1.11/1.38 (define @t971 () (=> tptp.cartprodmempaircEq @t970)) % 1.11/1.38 (define @t972 () (=> tptp.cartprodpairmemER @t971)) % 1.11/1.38 (define @t973 () (=> tptp.cartprodpairmemEL @t972)) % 1.11/1.38 (define @t974 () (=> tptp.cartprodsndin @t973)) % 1.11/1.38 (define @t975 () (=> tptp.kpairsurjEq @t974)) % 1.11/1.38 (define @t976 () (=> tptp.ksndpairEq @t975)) % 1.11/1.38 (define @t977 () (=> tptp.ksndsingleton @t976)) % 1.11/1.38 (define @t978 () (=> tptp.setukpairinjR @t977)) % 1.11/1.38 (define @t979 () (=> tptp.setukpairinjR2 @t978)) % 1.11/1.38 (define @t980 () (=> tptp.upairequniteq @t979)) % 1.11/1.38 (define @t981 () (=> tptp.setukpairinjR1 @t980)) % 1.11/1.38 (define @t982 () (=> tptp.setukpairinjR12 @t981)) % 1.11/1.38 (define @t983 () (=> tptp.setukpairinjR11 @t982)) % 1.11/1.38 (define @t984 () (=> tptp.setukpairinjL @t983)) % 1.11/1.38 (define @t985 () (=> tptp.setukpairinjL2 @t984)) % 1.11/1.38 (define @t986 () (=> tptp.cartprodfstin @t985)) % 1.11/1.38 (define @t987 () (=> tptp.kfstpairEq @t986)) % 1.11/1.38 (define @t988 () (=> tptp.theprop @t987)) % 1.11/1.38 (define @t989 () (=> tptp.kfstsingleton @t988)) % 1.11/1.38 (define @t990 () (=> tptp.setukpairinjL1 @t989)) % 1.11/1.38 (define @t991 () (=> tptp.singletonsuniq @t990)) % 1.11/1.38 (define @t992 () (=> tptp.ex1I2 @t991)) % 1.11/1.38 (define @t993 () (=> tptp.ex1I @t992)) % 1.11/1.38 (define @t994 () (=> tptp.ex1E1 @t993)) % 1.11/1.38 (define @t995 () (=> tptp.singletonprop @t994)) % 1.11/1.38 (define @t996 () (=> tptp.setunionsingleton @t995)) % 1.11/1.38 (define @t997 () (=> tptp.setunionsingleton2 @t996)) % 1.11/1.38 (define @t998 () (=> tptp.setunionsingleton1 @t997)) % 1.11/1.38 (define @t999 () (=> tptp.setunionE2 @t998)) % 1.11/1.38 (define @t1000 () (=> tptp.cartprodmempair @t999)) % 1.11/1.38 (define @t1001 () (=> tptp.cartprodmempair1 @t1000)) % 1.11/1.38 (define @t1002 () (=> tptp.cartprodpairin @t1001)) % 1.11/1.38 (define @t1003 () (=> tptp.ubforcartprodlem3 @t1002)) % 1.11/1.38 (define @t1004 () (=> tptp.ubforcartprodlem2 @t1003)) % 1.11/1.38 (define @t1005 () (=> tptp.ubforcartprodlem1 @t1004)) % 1.11/1.38 (define @t1006 () (=> tptp.upairinpowunion @t1005)) % 1.11/1.38 (define @t1007 () (=> tptp.upairsubunion @t1006)) % 1.11/1.38 (define @t1008 () (=> tptp.upairset2E @t1007)) % 1.11/1.38 (define @t1009 () (=> tptp.singletoninpowunion @t1008)) % 1.11/1.38 (define @t1010 () (=> tptp.singletoninpowerset @t1009)) % 1.11/1.38 (define @t1011 () (=> tptp.singletonsubset @t1010)) % 1.11/1.38 (define @t1012 () (=> tptp.kpairp @t1011)) % 1.11/1.38 (define @t1013 () (=> tptp.kpairiskpair @t1012)) % 1.11/1.38 (define @t1014 () (=> tptp.setukpairIR @t1013)) % 1.11/1.38 (define @t1015 () (=> tptp.setukpairIL @t1014)) % 1.11/1.38 (define @t1016 () (=> tptp.secondinupair @t1015)) % 1.11/1.38 (define @t1017 () (=> tptp.symdiffIneg2 @t1016)) % 1.11/1.38 (define @t1018 () (=> tptp.symdiffIneg1 @t1017)) % 1.11/1.38 (define @t1019 () (=> tptp.symdiffI2 @t1018)) % 1.11/1.38 (define @t1020 () (=> tptp.symdiffI1 @t1019)) % 1.11/1.38 (define @t1021 () (=> tptp.symdiffE @t1020)) % 1.11/1.38 (define @t1022 () (=> tptp.setminusSubset1 @t1021)) % 1.11/1.38 (define @t1023 () (=> tptp.setminusLsub @t1022)) % 1.11/1.38 (define @t1024 () (=> tptp.setminusIRneg @t1023)) % 1.11/1.38 (define @t1025 () (=> tptp.setminusILneg @t1024)) % 1.11/1.38 (define @t1026 () (=> tptp.setminusELneg @t1025)) % 1.11/1.38 (define @t1027 () (=> tptp.setminusERneg @t1026)) % 1.11/1.38 (define @t1028 () (=> tptp.setminusSubset2 @t1027)) % 1.11/1.38 (define @t1029 () (=> tptp.setminusER @t1028)) % 1.11/1.38 (define @t1030 () (=> tptp.setminusEL @t1029)) % 1.11/1.38 (define @t1031 () (=> tptp.setminusI @t1030)) % 1.11/1.38 (define @t1032 () (=> tptp.bs114d @t1031)) % 1.11/1.38 (define @t1033 () (=> tptp.binintersectSubset1 @t1032)) % 1.11/1.38 (define @t1034 () (=> tptp.binintersectSubset4 @t1033)) % 1.11/1.38 (define @t1035 () (=> tptp.binintersectRsub @t1034)) % 1.11/1.38 (define @t1036 () (=> tptp.disjointsetsI1 @t1035)) % 1.11/1.38 (define @t1037 () (=> tptp.binintersectER @t1036)) % 1.11/1.38 (define @t1038 () (=> tptp.binintersectSubset3 @t1037)) % 1.11/1.38 (define @t1039 () (=> tptp.binintersectSubset2 @t1038)) % 1.11/1.38 (define @t1040 () (=> tptp.binintersectLsub @t1039)) % 1.11/1.38 (define @t1041 () (=> tptp.binintersectEL @t1040)) % 1.11/1.38 (define @t1042 () (=> tptp.binintersectSubset5 @t1041)) % 1.11/1.38 (define @t1043 () (=> tptp.binintersectI @t1042)) % 1.11/1.38 (define @t1044 () (=> tptp.binunionRsub @t1043)) % 1.11/1.38 (define @t1045 () (=> tptp.binunionLsub @t1044)) % 1.11/1.38 (define @t1046 () (=> tptp.binunionE @t1045)) % 1.11/1.38 (define @t1047 () (=> tptp.binunionEcases @t1046)) % 1.11/1.38 (define @t1048 () (=> tptp.binunionIR @t1047)) % 1.11/1.38 (define @t1049 () (=> tptp.upairset2IR @t1048)) % 1.11/1.38 (define @t1050 () (=> tptp.binunionIL @t1049)) % 1.11/1.38 (define @t1051 () (=> tptp.sepSubset @t1050)) % 1.11/1.38 (define @t1052 () (=> tptp.sepInPowerset @t1051)) % 1.11/1.38 (define @t1053 () (=> tptp.powersetsubset @t1052)) % 1.11/1.38 (define @t1054 () (=> tptp.inPowerset @t1053)) % 1.11/1.38 (define @t1055 () (=> tptp.powersetE1 @t1054)) % 1.11/1.38 (define @t1056 () (=> tptp.powersetI1 @t1055)) % 1.11/1.38 (define @t1057 () (=> tptp.subsetemptysetimpeq @t1056)) % 1.11/1.38 (define @t1058 () (=> tptp.setextsub @t1057)) % 1.11/1.38 (define @t1059 () (=> tptp.subset2powerset @t1058)) % 1.11/1.38 (define @t1060 () (=> tptp.setadjoinSub2 @t1059)) % 1.11/1.38 (define @t1061 () (=> tptp.setadjoinSub @t1060)) % 1.11/1.38 (define @t1062 () (=> tptp.subsetTrans @t1061)) % 1.11/1.38 (define @t1063 () (=> tptp.subsetRefl @t1062)) % 1.11/1.38 (define @t1064 () (=> tptp.notequalI2 @t1063)) % 1.11/1.38 (define @t1065 () (=> tptp.notequalI1 @t1064)) % 1.11/1.38 (define @t1066 () (=> tptp.notsubsetI @t1065)) % 1.11/1.38 (define @t1067 () (=> tptp.subsetE2 @t1066)) % 1.11/1.38 (define @t1068 () (=> tptp.subsetE @t1067)) % 1.11/1.38 (define @t1069 () (=> tptp.emptysetsubset @t1068)) % 1.11/1.38 (define @t1070 () (=> tptp.subsetI2 @t1069)) % 1.11/1.38 (define @t1071 () (=> tptp.eqimpsubset1 @t1070)) % 1.11/1.38 (define @t1072 () (=> tptp.eqimpsubset2 @t1071)) % 1.11/1.38 (define @t1073 () (=> tptp.subsetI1 @t1072)) % 1.11/1.38 (define @t1074 () (=> tptp.dsetconstr__Cong @t1073)) % 1.11/1.38 (define @t1075 () (=> tptp.descr__Cong @t1074)) % 1.11/1.38 (define @t1076 () (=> tptp.exuEu @t1075)) % 1.11/1.38 (define @t1077 () (=> tptp.omega__Cong @t1076)) % 1.11/1.38 (define @t1078 () (=> tptp.setunion__Cong @t1077)) % 1.11/1.38 (define @t1079 () (=> tptp.powerset__Cong @t1078)) % 1.11/1.38 (define @t1080 () (=> tptp.setadjoin__Cong @t1079)) % 1.11/1.38 (define @t1081 () (=> tptp.emptyset__Cong @t1080)) % 1.11/1.38 (define @t1082 () (=> tptp.exu__Cong @t1081)) % 1.11/1.38 (define @t1083 () (=> tptp.exuE3u @t1082)) % 1.11/1.38 (define @t1084 () (=> tptp.in__Cong @t1083)) % 1.11/1.38 (define @t1085 () (=> tptp.inCongP @t1084)) % 1.11/1.38 (define @t1086 () (=> tptp.exuI2 @t1085)) % 1.11/1.38 (define @t1087 () (=> tptp.exuI3 @t1086)) % 1.11/1.38 (define @t1088 () (=> tptp.exuI1 @t1087)) % 1.11/1.38 (define @t1089 () (=> tptp.notdallE @t1088)) % 1.11/1.38 (define @t1090 () (=> tptp.notdexE @t1089)) % 1.11/1.38 (define @t1091 () (=> tptp.prop2set2propI @t1090)) % 1.11/1.38 (define @t1092 () (=> tptp.prop2setI @t1091)) % 1.11/1.38 (define @t1093 () (=> tptp.quantDeMorgan4 @t1092)) % 1.11/1.38 (define @t1094 () (=> tptp.quantDeMorgan3 @t1093)) % 1.11/1.38 (define @t1095 () (=> tptp.quantDeMorgan2 @t1094)) % 1.11/1.38 (define @t1096 () (=> tptp.quantDeMorgan1 @t1095)) % 1.11/1.38 (define @t1097 () (=> tptp.vacuousDall @t1096)) % 1.11/1.38 (define @t1098 () (=> tptp.emptyE1 @t1097)) % 1.11/1.38 (define @t1099 () (=> tptp.upairsetIR @t1098)) % 1.11/1.38 (define @t1100 () (=> tptp.upairsetIL @t1099)) % 1.11/1.38 (define @t1101 () (=> tptp.upairsetE @t1100)) % 1.11/1.38 (define @t1102 () (=> tptp.singletonsswitch @t1101)) % 1.11/1.38 (define @t1103 () (=> tptp.eqinunit @t1102)) % 1.11/1.38 (define @t1104 () (=> tptp.notinsingleton @t1103)) % 1.11/1.38 (define @t1105 () (=> tptp.uniqinunit @t1104)) % 1.11/1.38 (define @t1106 () (=> tptp.nonemptyImpWitness @t1105)) % 1.11/1.38 (define @t1107 () (=> tptp.exuE2 @t1106)) % 1.11/1.38 (define @t1108 () (=> tptp.subPowSU @t1107)) % 1.11/1.38 (define @t1109 () (=> tptp.setunionE @t1108)) % 1.11/1.38 (define @t1110 () (=> tptp.setunionI @t1109)) % 1.11/1.38 (define @t1111 () (=> tptp.powersetE @t1110)) % 1.11/1.38 (define @t1112 () (=> tptp.emptyInPowerset @t1111)) % 1.11/1.38 (define @t1113 () (=> tptp.emptyinPowerset @t1112)) % 1.11/1.38 (define @t1114 () (=> tptp.powersetI @t1113)) % 1.11/1.38 (define @t1115 () (=> tptp.setoftrueEq @t1114)) % 1.11/1.38 (define @t1116 () (=> tptp.setadjoinOr @t1115)) % 1.11/1.38 (define @t1117 () (=> tptp.setadjoinE @t1116)) % 1.11/1.38 (define @t1118 () (=> tptp.setadjoinIR @t1117)) % 1.11/1.38 (define @t1119 () (=> tptp.emptyinunitempty @t1118)) % 1.11/1.38 (define @t1120 () (=> tptp.setadjoinIL @t1119)) % 1.11/1.38 (define @t1121 () (=> tptp.nonemptyI1 @t1120)) % 1.11/1.38 (define @t1122 () (=> tptp.nonemptyI @t1121)) % 1.11/1.38 (define @t1123 () (=> tptp.nonemptyE1 @t1122)) % 1.11/1.38 (define @t1124 () (=> tptp.setbeta @t1123)) % 1.11/1.38 (define @t1125 () (=> tptp.noeltsimpempty @t1124)) % 1.11/1.38 (define @t1126 () (=> tptp.emptyI @t1125)) % 1.11/1.38 (define @t1127 () (=> tptp.setext @t1126)) % 1.11/1.38 (define @t1128 () (=> tptp.exuE3e @t1127)) % 1.11/1.38 (define @t1129 () (=> tptp.notinemptyset @t1128)) % 1.11/1.38 (define @t1130 () (=> tptp.emptysetimpfalse @t1129)) % 1.11/1.38 (define @t1131 () (=> tptp.emptysetE @t1130)) % 1.11/1.38 (define @t1132 () (=> tptp.prop2setE @t1131)) % 1.11/1.38 (define @t1133 () (=> tptp.exuE1 @t1132)) % 1.11/1.38 (define @t1134 () (=> tptp.dsetconstrER @t1133)) % 1.11/1.38 (define @t1135 () (=> tptp.dsetconstrEL @t1134)) % 1.11/1.38 (define @t1136 () (=> tptp.dsetconstrI @t1135)) % 1.11/1.38 (define @t1137 () (=> tptp.descrp @t1136)) % 1.11/1.38 (define @t1138 () (=> tptp.wellorderingAx @t1137)) % 1.11/1.38 (define @t1139 () (=> tptp.foundationAx @t1138)) % 1.11/1.38 (define @t1140 () (=> tptp.replAx @t1139)) % 1.11/1.38 (define @t1141 () (=> tptp.omegaIndAx @t1140)) % 1.11/1.38 (define @t1142 () (=> tptp.omegaSAx @t1141)) % 1.11/1.38 (define @t1143 () (=> tptp.omega0Ax @t1142)) % 1.11/1.38 (define @t1144 () (=> tptp.setunionAx @t1143)) % 1.11/1.38 (define @t1145 () (=> tptp.powersetAx @t1144)) % 1.11/1.38 (define @t1146 () (=> tptp.setadjoinAx @t1145)) % 1.11/1.38 (define @t1147 () (=> tptp.emptysetAx @t1146)) % 1.11/1.38 (define @t1148 () (=> tptp.setextAx @t1147)) % 1.11/1.38 (define @t1149 () (not @t1148)) % 1.11/1.38 (define @t1150 () (lambda @t150 @t169)) % 1.11/1.38 (define @t1151 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.11/1.38 (define @t1152 () (= @t2 @t279)) % 1.11/1.38 (define @t1153 () (and @t7 @t1152)) % 1.11/1.38 (define @t1154 () (exists @t9 @t1153)) % 1.11/1.38 (define @t1155 () (lambda @t64 @t1154)) % 1.11/1.38 (define @t1156 () (lambda @t309 @t712)) % 1.11/1.38 (define @t1157 () (_ @t520 @t672)) % 1.11/1.38 (define @t1158 () (lambda @t455 @t1157)) % 1.11/1.38 (define @t1159 () (lambda @t70 @t929)) % 1.11/1.38 (define @t1160 () (=> @t7 (_ (_ tptp.ex1 @t1) @t1159))) % 1.11/1.38 (define @t1161 () (forall @t9 @t1160)) % 1.11/1.38 (define @t1162 () (and @t936 @t1161)) % 1.11/1.38 (define @t1163 () (lambda @t938 @t1162)) % 1.11/1.38 (define @t1164 () (lambda (@list @t2 @t1 @t871 @t4) @t883)) % 1.11/1.38 (define @t1165 () (lambda @t914 @t910)) % 1.11/1.38 (define @t1166 () (@var "BOUND_VARIABLE_12924" $$unsorted)) % 1.11/1.38 (define @t1167 () (tptp.in (tptp.kpair @t1166 (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1166 @t19) @t871))))) @t871)) % 1.11/1.38 (define @t1168 () (not (tptp.in @t1166 @t2))) % 1.11/1.38 (define @t1169 () (tptp.kpair @t4 @t19)) % 1.11/1.38 (define @t1170 () (tptp.in @t1169 @t871)) % 1.11/1.38 (define @t1171 () (lambda @t70 @t1170)) % 1.11/1.38 (define @t1172 () (tptp.dsetconstr @t1 @t1171)) % 1.11/1.38 (define @t1173 () (@var "BOUND_VARIABLE_8830" $$unsorted)) % 1.11/1.38 (define @t1174 () (tptp.setadjoin @t1173 tptp.emptyset)) % 1.11/1.38 (define @t1175 () (@list @t1173)) % 1.11/1.38 (define @t1176 () (tptp.in @t4 @t2)) % 1.11/1.38 (define @t1177 () (not @t1176)) % 1.11/1.38 (define @t1178 () (forall @t9 (or @t1177 (not (forall @t1175 (or (not (tptp.in @t1173 @t1172)) (not (= @t1174 @t1172)))))))) % 1.11/1.38 (define @t1179 () (not @t1178)) % 1.11/1.38 (define @t1180 () (tptp.cartprod @t2 @t1)) % 1.11/1.38 (define @t1181 () (tptp.subset @t871 @t1180)) % 1.11/1.38 (define @t1182 () (not @t1181)) % 1.11/1.38 (define @t1183 () (or @t1182 @t1179 @t1168 @t1167)) % 1.11/1.38 (define @t1184 () (@list @t2 @t1 @t871 @t1166)) % 1.11/1.38 (define @t1185 () (forall @t1184 @t1183)) % 1.11/1.38 (define @t1186 () (@var "BOUND_VARIABLE_12674" $$unsorted)) % 1.11/1.38 (define @t1187 () (@var "BOUND_VARIABLE_12672" $$unsorted)) % 1.11/1.38 (define @t1188 () (= @t1187 @t1186)) % 1.11/1.38 (define @t1189 () (not (_ @t143 @t1186))) % 1.11/1.38 (define @t1190 () (not (tptp.in @t1186 @t2))) % 1.11/1.38 (define @t1191 () (not (_ @t143 @t1187))) % 1.11/1.38 (define @t1192 () (not (tptp.in @t1187 @t2))) % 1.11/1.38 (define @t1193 () (@var "BOUND_VARIABLE_12664" $$unsorted)) % 1.11/1.38 (define @t1194 () (tptp.setadjoin @t1193 tptp.emptyset)) % 1.11/1.38 (define @t1195 () (tptp.dsetconstr @t2 @t143)) % 1.11/1.38 (define @t1196 () (not (tptp.in @t1193 @t1195))) % 1.11/1.38 (define @t1197 () (@list @t2 @t143 @t1193 @t1187 @t1186)) % 1.11/1.38 (define @t1198 () (@var "BOUND_VARIABLE_12637" $$unsorted)) % 1.11/1.38 (define @t1199 () (@var "BOUND_VARIABLE_12635" (-> $$unsorted Bool))) % 1.11/1.38 (define @t1200 () (_ @t1199 @t1198)) % 1.11/1.38 (define @t1201 () (not (tptp.in @t1198 @t925))) % 1.11/1.38 (define @t1202 () (@var "BOUND_VARIABLE_12588" $$unsorted)) % 1.11/1.38 (define @t1203 () (tptp.kpair @t4 @t1202)) % 1.11/1.38 (define @t1204 () (not (tptp.in @t1203 @t925))) % 1.11/1.38 (define @t1205 () (not (tptp.in @t1202 @t1))) % 1.11/1.38 (define @t1206 () (@list @t4 @t1202)) % 1.11/1.38 (define @t1207 () (not (forall @t1206 (or @t1177 @t1205 @t1204 (_ @t1199 @t1203))))) % 1.11/1.38 (define @t1208 () (tptp.subset @t925 @t1180)) % 1.11/1.38 (define @t1209 () (not @t1208)) % 1.11/1.38 (define @t1210 () (or @t1209 @t1207 @t1201 @t1200)) % 1.11/1.38 (define @t1211 () (@list @t2 @t1 @t925 @t1199 @t1198)) % 1.11/1.38 (define @t1212 () (forall @t1211 @t1210)) % 1.11/1.38 (define @t1213 () (tptp.funcSet @t2 @t1)) % 1.11/1.38 (define @t1214 () (_ @t907 @t4)) % 1.11/1.38 (define @t1215 () (= @t19 @t1214)) % 1.11/1.38 (define @t1216 () (lambda @t135 @t1215)) % 1.11/1.38 (define @t1217 () (tptp.dpsetconstr @t2 @t1 @t1216)) % 1.11/1.38 (define @t1218 () (tptp.in @t1217 @t1213)) % 1.11/1.38 (define @t1219 () (tptp.in @t1214 @t1)) % 1.11/1.38 (define @t1220 () (forall @t9 (or @t1177 @t1219))) % 1.11/1.38 (define @t1221 () (not @t1220)) % 1.11/1.38 (define @t1222 () (@var "BOUND_VARIABLE_12457" $$unsorted)) % 1.11/1.38 (define @t1223 () (_ @t907 @t1222)) % 1.11/1.38 (define @t1224 () (@var "BOUND_VARIABLE_12418" $$unsorted)) % 1.11/1.38 (define @t1225 () (@list @t1222 @t1224)) % 1.11/1.38 (define @t1226 () (tptp.dpsetconstr @t2 @t1 (lambda @t1225 (= @t1224 @t1223)))) % 1.11/1.38 (define @t1227 () (@var "BOUND_VARIABLE_12509" $$unsorted)) % 1.11/1.38 (define @t1228 () (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1227 @t19) @t1226)))) % 1.11/1.38 (define @t1229 () (or (not (tptp.in @t1227 @t2)) (not (forall @t1175 (or (not (tptp.in @t1173 @t1228)) (not (= @t1174 @t1228))))))) % 1.11/1.38 (define @t1230 () (tptp.subset @t1217 @t1180)) % 1.11/1.38 (define @t1231 () (and @t1230 @t1229)) % 1.11/1.38 (define @t1232 () (or @t1221 @t1231)) % 1.11/1.38 (define @t1233 () (forall (@list @t2 @t1 @t907 @t1227) @t1232)) % 1.11/1.38 (define @t1234 () (tptp.in @t871 @t1213)) % 1.11/1.38 (define @t1235 () (@var "BOUND_VARIABLE_12361" $$unsorted)) % 1.11/1.38 (define @t1236 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1235 @t19) @t871)))) @t1)) % 1.11/1.38 (define @t1237 () (not (tptp.in @t1235 @t2))) % 1.11/1.38 (define @t1238 () (not @t1234)) % 1.11/1.38 (define @t1239 () (or @t1238 @t1237 @t1236)) % 1.11/1.38 (define @t1240 () (@list @t2 @t1 @t871 @t1235)) % 1.11/1.38 (define @t1241 () (@var "BOUND_VARIABLE_12330" $$unsorted)) % 1.11/1.38 (define @t1242 () (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1241 @t19) @t871)))) % 1.11/1.38 (define @t1243 () (or (not (tptp.in @t1241 @t2)) (not (forall @t1175 (or (not (tptp.in @t1173 @t1242)) (not (= @t1174 @t1242))))))) % 1.11/1.38 (define @t1244 () (and @t1181 @t1243)) % 1.11/1.38 (define @t1245 () (or @t1238 @t1244)) % 1.11/1.38 (define @t1246 () (forall (@list @t2 @t1 @t871 @t1241) @t1245)) % 1.11/1.38 (define @t1247 () (@var "BOUND_VARIABLE_12274" $$unsorted)) % 1.11/1.38 (define @t1248 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1247 @t19) @t871)))) @t1)) % 1.11/1.38 (define @t1249 () (not (tptp.in @t1247 @t2))) % 1.11/1.38 (define @t1250 () (or @t1182 @t1179 @t1249 @t1248)) % 1.11/1.38 (define @t1251 () (@list @t2 @t1 @t871 @t1247)) % 1.11/1.38 (define @t1252 () (forall @t1251 @t1250)) % 1.11/1.38 (define @t1253 () (@var "BOUND_VARIABLE_12227" $$unsorted)) % 1.11/1.38 (define @t1254 () (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1253 @t19) @t871)))) % 1.11/1.38 (define @t1255 () (@var "BOUND_VARIABLE_12179" $$unsorted)) % 1.11/1.38 (define @t1256 () (tptp.setadjoin @t1255 tptp.emptyset)) % 1.11/1.38 (define @t1257 () (not (tptp.in @t1255 @t1254))) % 1.11/1.38 (define @t1258 () (@list @t1255)) % 1.11/1.38 (define @t1259 () (not (tptp.in @t1253 @t2))) % 1.11/1.38 (define @t1260 () (@list @t2 @t1 @t871 @t1253)) % 1.11/1.38 (define @t1261 () (_ @t67 @t4 @t19)) % 1.11/1.38 (define @t1262 () (tptp.dpsetconstr @t2 @t1 @t67)) % 1.11/1.38 (define @t1263 () (tptp.in @t1169 @t1262)) % 1.11/1.38 (define @t1264 () (not @t1263)) % 1.11/1.38 (define @t1265 () (tptp.in @t19 @t1)) % 1.11/1.38 (define @t1266 () (@var "BOUND_VARIABLE_12106" $$unsorted)) % 1.11/1.38 (define @t1267 () (_ @t67 @t4 @t1266)) % 1.11/1.38 (define @t1268 () (not (tptp.in (tptp.kpair @t4 @t1266) @t1262))) % 1.11/1.38 (define @t1269 () (not (tptp.in @t1266 @t1))) % 1.11/1.38 (define @t1270 () (or @t1177 @t1269 @t1268 @t1267)) % 1.11/1.38 (define @t1271 () (@list @t2 @t1 @t67 @t4 @t1266)) % 1.11/1.38 (define @t1272 () (forall @t853 (tptp.subset @t1262 @t1180))) % 1.11/1.38 (define @t1273 () (@var "BOUND_VARIABLE_12056" $$unsorted)) % 1.11/1.38 (define @t1274 () (tptp.in (tptp.kpair @t4 @t1273) @t1262)) % 1.11/1.38 (define @t1275 () (not (_ @t67 @t4 @t1273))) % 1.11/1.38 (define @t1276 () (not (tptp.in @t1273 @t1))) % 1.11/1.38 (define @t1277 () (or @t1177 @t1276 @t1275 @t1274)) % 1.11/1.38 (define @t1278 () (@list @t2 @t1 @t67 @t4 @t1273)) % 1.11/1.38 (define @t1279 () (tptp.ksnd @t381)) % 1.11/1.38 (define @t1280 () (tptp.kfst @t381)) % 1.11/1.38 (define @t1281 () (tptp.kpair @t1280 @t1279)) % 1.11/1.38 (define @t1282 () (= @t381 @t1281)) % 1.11/1.38 (define @t1283 () (tptp.in @t381 @t1180)) % 1.11/1.38 (define @t1284 () (not @t1283)) % 1.11/1.38 (define @t1285 () (@var "BOUND_VARIABLE_12008" $$unsorted)) % 1.11/1.38 (define @t1286 () (= @t1285 (tptp.ksnd (tptp.kpair @t4 @t1285)))) % 1.11/1.38 (define @t1287 () (not (tptp.in @t1285 @t1))) % 1.11/1.38 (define @t1288 () (or @t1177 @t1287 @t1286)) % 1.11/1.38 (define @t1289 () (@list @t2 @t1 @t4 @t1285)) % 1.11/1.38 (define @t1290 () (@var "BOUND_VARIABLE_11981" $$unsorted)) % 1.11/1.38 (define @t1291 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t1290)))) % 1.11/1.38 (define @t1292 () (not (tptp.in @t1290 @t1))) % 1.11/1.38 (define @t1293 () (or @t1177 @t1292 @t1291)) % 1.11/1.38 (define @t1294 () (@list @t2 @t1 @t4 @t1290)) % 1.11/1.38 (define @t1295 () (=> (forall @t1294 @t1293) (=> (forall @t1289 @t1288) (=> (forall @t686 (or @t1284 @t1282)) (=> (forall @t1278 @t1277) (=> @t1272 (=> @t1272 (=> (forall @t1271 @t1270) (=> (forall @t864 (or @t1264 @t1176)) (=> (forall @t864 (or @t1264 @t1265)) (=> (forall @t864 (or @t1264 @t1261)) (=> (forall @t1260 (or @t1182 @t1179 @t1259 (not (forall @t1258 (or @t1257 (not (= @t1256 @t1254))))))) (=> @t1252 (=> @t1252 (=> @t1246 (=> (forall @t1240 @t1239) (=> (forall @t880 (or @t1182 @t1179 @t1234)) (=> @t1233 (=> @t1233 (=> (forall @t914 (or @t1221 @t1218)) (=> @t1212 (=> @t1212 (=> (forall @t1197 (or @t1196 (not (= @t1195 @t1194)) @t1192 @t1191 @t1190 @t1189 @t1188)) @t1185))))))))))))))))))))))) % 1.11/1.38 (define @t1296 () (tptp.in @t1169 @t1180)) % 1.11/1.38 (define @t1297 () (not @t1296)) % 1.11/1.38 (define @t1298 () (forall @t816 (or @t1297 @t1265))) % 1.11/1.38 (define @t1299 () (forall @t816 (or @t1297 @t1176))) % 1.11/1.38 (define @t1300 () (tptp.in @t1279 @t1)) % 1.11/1.38 (define @t1301 () (forall @t686 (or @t1284 @t1300))) % 1.11/1.38 (define @t1302 () (tptp.iskpair @t381)) % 1.11/1.38 (define @t1303 () (not @t1302)) % 1.11/1.38 (define @t1304 () (forall @t751 (or @t1303 @t1282))) % 1.11/1.38 (define @t1305 () (tptp.ksnd @t1169)) % 1.11/1.38 (define @t1306 () (= @t19 @t1305)) % 1.11/1.38 (define @t1307 () (forall @t135 @t1306)) % 1.11/1.38 (define @t1308 () (@var "BOUND_VARIABLE_11884" $$unsorted)) % 1.11/1.38 (define @t1309 () (tptp.kpair @t1280 @t1308)) % 1.11/1.38 (define @t1310 () (= @t381 @t1309)) % 1.11/1.38 (define @t1311 () (@list @t1308)) % 1.11/1.38 (define @t1312 () (lambda @t1311 @t1310)) % 1.11/1.38 (define @t1313 () (tptp.setunion @t381)) % 1.11/1.38 (define @t1314 () (tptp.dsetconstr @t1313 @t1312)) % 1.11/1.38 (define @t1315 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.11/1.38 (define @t1316 () (not (forall @t9 (or (not (tptp.in @t4 @t1314)) (not (= @t1315 @t1314)))))) % 1.11/1.38 (define @t1317 () (forall @t751 (or @t1303 @t1316))) % 1.11/1.38 (define @t1318 () (tptp.kpair @t289 @t381)) % 1.11/1.38 (define @t1319 () (not (= @t1169 @t1318))) % 1.11/1.38 (define @t1320 () (forall @t772 (or @t1319 @t786))) % 1.11/1.38 (define @t1321 () (tptp.setadjoin @t381 tptp.emptyset)) % 1.11/1.38 (define @t1322 () (tptp.setadjoin @t289 @t1321)) % 1.11/1.38 (define @t1323 () (tptp.setadjoin @t1322 tptp.emptyset)) % 1.11/1.38 (define @t1324 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.11/1.38 (define @t1325 () (tptp.setadjoin @t1324 @t1323)) % 1.11/1.38 (define @t1326 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.11/1.38 (define @t1327 () (tptp.setadjoin @t4 @t1326)) % 1.11/1.38 (define @t1328 () (tptp.setadjoin @t1327 tptp.emptyset)) % 1.11/1.38 (define @t1329 () (tptp.setadjoin @t1315 @t1328)) % 1.11/1.38 (define @t1330 () (not (= @t1329 @t1325))) % 1.11/1.38 (define @t1331 () (forall @t772 (or @t1330 @t786))) % 1.11/1.38 (define @t1332 () (forall @t295 (or (not (= @t1327 @t1324)) @t129))) % 1.11/1.38 (define @t1333 () (not (= @t1329 (tptp.setadjoin @t1321 (tptp.setadjoin (tptp.setadjoin @t381 @t1321) tptp.emptyset))))) % 1.11/1.38 (define @t1334 () (or @t1333 @t786)) % 1.11/1.38 (define @t1335 () (@list @t4 @t19 @t381)) % 1.11/1.38 (define @t1336 () (forall @t1335 @t1334)) % 1.11/1.38 (define @t1337 () (tptp.setadjoin @t19 @t1326)) % 1.11/1.38 (define @t1338 () (= (tptp.setadjoin @t1326 (tptp.setadjoin @t1337 tptp.emptyset)) (tptp.setadjoin @t1326 tptp.emptyset))) % 1.11/1.38 (define @t1339 () (forall @t70 @t1338)) % 1.11/1.38 (define @t1340 () (= @t1326 @t1337)) % 1.11/1.38 (define @t1341 () (forall @t70 @t1340)) % 1.11/1.38 (define @t1342 () (forall @t772 (or @t1319 @t740))) % 1.11/1.38 (define @t1343 () (forall @t772 (or @t1330 @t740))) % 1.11/1.38 (define @t1344 () (tptp.in @t1280 @t2)) % 1.11/1.38 (define @t1345 () (forall @t686 (or @t1284 @t1344))) % 1.11/1.38 (define @t1346 () (tptp.kfst @t1169)) % 1.11/1.38 (define @t1347 () (= @t4 @t1346)) % 1.11/1.38 (define @t1348 () (forall @t135 @t1347)) % 1.11/1.38 (define @t1349 () (@var "BOUND_VARIABLE_11724" $$unsorted)) % 1.11/1.38 (define @t1350 () (tptp.setadjoin @t1349 tptp.emptyset)) % 1.11/1.38 (define @t1351 () (not (tptp.in @t1349 @t1350))) % 1.11/1.38 (define @t1352 () (tptp.in (tptp.setunion @t1350) @t1350)) % 1.11/1.38 (define @t1353 () (or @t1352 @t1351)) % 1.11/1.38 (define @t1354 () (@list @t1349)) % 1.11/1.38 (define @t1355 () (forall @t1354 @t1353)) % 1.11/1.38 (define @t1356 () (@var "BOUND_VARIABLE_11664" $$unsorted)) % 1.11/1.38 (define @t1357 () (tptp.setadjoin @t1356 tptp.emptyset)) % 1.11/1.38 (define @t1358 () (tptp.in @t1357 @t381)) % 1.11/1.38 (define @t1359 () (@list @t1356)) % 1.11/1.38 (define @t1360 () (lambda @t1359 @t1358)) % 1.11/1.38 (define @t1361 () (tptp.dsetconstr @t1313 @t1360)) % 1.11/1.38 (define @t1362 () (not (forall @t9 (or (not (tptp.in @t4 @t1361)) (not (= @t1315 @t1361)))))) % 1.11/1.38 (define @t1363 () (forall @t751 (or @t1303 @t1362))) % 1.11/1.38 (define @t1364 () (tptp.in @t1324 @t1329)) % 1.11/1.38 (define @t1365 () (forall @t295 (or (not @t1364) @t740))) % 1.11/1.38 (define @t1366 () (forall @t135 (or (not (= @t1315 @t1326)) @t129))) % 1.11/1.38 (define @t1367 () (@var "BOUND_VARIABLE_11482" $$unsorted)) % 1.11/1.38 (define @t1368 () (not (_ @t143 @t1367))) % 1.11/1.38 (define @t1369 () (not (tptp.in @t1367 @t2))) % 1.11/1.38 (define @t1370 () (tptp.in @t4 @t1195)) % 1.11/1.38 (define @t1371 () (not @t1370)) % 1.11/1.38 (define @t1372 () (forall @t9 (or @t1371 (not (= @t1315 @t1195))))) % 1.11/1.38 (define @t1373 () (not @t1372)) % 1.11/1.38 (define @t1374 () (@var "BOUND_VARIABLE_11462" $$unsorted)) % 1.11/1.38 (define @t1375 () (= @t4 @t1374)) % 1.11/1.38 (define @t1376 () (not (_ @t143 @t1374))) % 1.11/1.38 (define @t1377 () (not (tptp.in @t1374 @t2))) % 1.11/1.38 (define @t1378 () (_ @t143 @t4)) % 1.11/1.38 (define @t1379 () (not @t1378)) % 1.11/1.38 (define @t1380 () (or @t1177 @t1379 @t1377 @t1376 @t1375)) % 1.11/1.38 (define @t1381 () (@list @t4 @t1374)) % 1.11/1.38 (define @t1382 () (forall @t1381 @t1380)) % 1.11/1.38 (define @t1383 () (not @t1382)) % 1.11/1.38 (define @t1384 () (or @t1383 @t1373 @t1369 @t1368)) % 1.11/1.38 (define @t1385 () (@list @t2 @t143 @t1367)) % 1.11/1.38 (define @t1386 () (forall @t1385 @t1384)) % 1.11/1.38 (define @t1387 () (@var "BOUND_VARIABLE_11582" $$unsorted)) % 1.11/1.38 (define @t1388 () (tptp.setadjoin @t1387 tptp.emptyset)) % 1.11/1.38 (define @t1389 () (not (tptp.in @t1387 @t1195))) % 1.11/1.38 (define @t1390 () (@list @t1387)) % 1.11/1.38 (define @t1391 () (not (forall @t1390 (or @t1389 (not (= @t1195 @t1388)))))) % 1.11/1.38 (define @t1392 () (_ @t143 @t19)) % 1.11/1.38 (define @t1393 () (not @t1392)) % 1.11/1.38 (define @t1394 () (tptp.in @t19 @t2)) % 1.11/1.38 (define @t1395 () (not @t1394)) % 1.11/1.38 (define @t1396 () (forall @t70 (or @t1395 @t1393 @t129))) % 1.11/1.38 (define @t1397 () (not @t1396)) % 1.11/1.38 (define @t1398 () (forall @t159 (or @t1177 @t1379 @t1397 @t1391))) % 1.11/1.38 (define @t1399 () (@var "BOUND_VARIABLE_11539" $$unsorted)) % 1.11/1.38 (define @t1400 () (tptp.setadjoin @t1399 tptp.emptyset)) % 1.11/1.38 (define @t1401 () (not (tptp.in @t1399 @t1195))) % 1.11/1.38 (define @t1402 () (forall @t9 (or @t1177 @t1379))) % 1.11/1.38 (define @t1403 () (not @t1402)) % 1.11/1.38 (define @t1404 () (@list @t2 @t143 @t1399)) % 1.11/1.38 (define @t1405 () (forall @t1404 (or @t1403 @t1401 (not (= @t1195 @t1400))))) % 1.11/1.38 (define @t1406 () (tptp.setunion @t1315)) % 1.11/1.38 (define @t1407 () (forall @t9 (= @t4 @t1406))) % 1.11/1.38 (define @t1408 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.11/1.38 (define @t1409 () (tptp.setunion @t1408)) % 1.11/1.38 (define @t1410 () (tptp.subset @t2 @t1409)) % 1.11/1.38 (define @t1411 () (forall @t64 @t1410)) % 1.11/1.38 (define @t1412 () (tptp.subset @t1409 @t2)) % 1.11/1.38 (define @t1413 () (forall @t64 @t1412)) % 1.11/1.38 (define @t1414 () (tptp.in @t4 @t692)) % 1.11/1.38 (define @t1415 () (not @t1414)) % 1.11/1.38 (define @t1416 () (tptp.in @t692 @t2)) % 1.11/1.38 (define @t1417 () (not (forall @t696 (or (not @t1416) @t1415)))) % 1.11/1.38 (define @t1418 () (tptp.setunion @t2)) % 1.11/1.38 (define @t1419 () (tptp.in @t4 @t1418)) % 1.11/1.38 (define @t1420 () (not @t1419)) % 1.11/1.38 (define @t1421 () (forall @t46 (or @t1420 @t1417))) % 1.11/1.38 (define @t1422 () (forall @t686 (or @t1284 @t1302))) % 1.11/1.38 (define @t1423 () (@var "BOUND_VARIABLE_11365" $$unsorted)) % 1.11/1.38 (define @t1424 () (not (= @t381 (tptp.kpair @t4 @t1423)))) % 1.11/1.38 (define @t1425 () (not (tptp.in @t1423 @t1))) % 1.11/1.38 (define @t1426 () (or @t1177 @t1425 @t1424)) % 1.11/1.38 (define @t1427 () (@list @t4 @t1423)) % 1.11/1.38 (define @t1428 () (not (forall @t1427 @t1426))) % 1.11/1.38 (define @t1429 () (forall @t686 (or @t1284 @t1428))) % 1.11/1.38 (define @t1430 () (@var "BOUND_VARIABLE_11331" $$unsorted)) % 1.11/1.38 (define @t1431 () (tptp.in (tptp.kpair @t4 @t1430) @t1180)) % 1.11/1.38 (define @t1432 () (not (tptp.in @t1430 @t1))) % 1.11/1.38 (define @t1433 () (or @t1177 @t1432 @t1431)) % 1.11/1.38 (define @t1434 () (@list @t2 @t1 @t4 @t1430)) % 1.11/1.38 (define @t1435 () (forall @t1434 @t1433)) % 1.11/1.38 (define @t1436 () (tptp.binunion @t2 @t1)) % 1.11/1.38 (define @t1437 () (tptp.powerset @t1436)) % 1.11/1.38 (define @t1438 () (tptp.powerset @t1437)) % 1.11/1.38 (define @t1439 () (@var "BOUND_VARIABLE_11304" $$unsorted)) % 1.11/1.38 (define @t1440 () (tptp.in (tptp.kpair @t4 @t1439) @t1438)) % 1.11/1.38 (define @t1441 () (not (tptp.in @t1439 @t1))) % 1.11/1.38 (define @t1442 () (or @t1177 @t1441 @t1440)) % 1.11/1.38 (define @t1443 () (@list @t2 @t1 @t4 @t1439)) % 1.11/1.38 (define @t1444 () (forall @t1443 @t1442)) % 1.11/1.38 (define @t1445 () (@var "BOUND_VARIABLE_11275" $$unsorted)) % 1.11/1.38 (define @t1446 () (tptp.in (tptp.setadjoin @t1315 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1445 tptp.emptyset)) tptp.emptyset)) @t1438)) % 1.11/1.38 (define @t1447 () (not (tptp.in @t1445 @t1))) % 1.11/1.38 (define @t1448 () (or @t1177 @t1447 @t1446)) % 1.11/1.38 (define @t1449 () (@list @t2 @t1 @t4 @t1445)) % 1.11/1.38 (define @t1450 () (forall @t1449 @t1448)) % 1.11/1.38 (define @t1451 () (@var "BOUND_VARIABLE_11243" $$unsorted)) % 1.11/1.38 (define @t1452 () (tptp.subset (tptp.setadjoin @t1315 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1451 tptp.emptyset)) tptp.emptyset)) @t1437)) % 1.11/1.38 (define @t1453 () (not (tptp.in @t1451 @t1))) % 1.11/1.38 (define @t1454 () (or @t1177 @t1453 @t1452)) % 1.11/1.38 (define @t1455 () (@list @t2 @t1 @t4 @t1451)) % 1.11/1.38 (define @t1456 () (forall @t1455 @t1454)) % 1.11/1.38 (define @t1457 () (@var "BOUND_VARIABLE_11215" $$unsorted)) % 1.11/1.38 (define @t1458 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t1457 tptp.emptyset)) @t1437)) % 1.11/1.38 (define @t1459 () (not (tptp.in @t1457 @t1))) % 1.11/1.38 (define @t1460 () (or @t1177 @t1459 @t1458)) % 1.11/1.38 (define @t1461 () (@list @t2 @t1 @t4 @t1457)) % 1.11/1.38 (define @t1462 () (forall @t1461 @t1460)) % 1.11/1.38 (define @t1463 () (@var "BOUND_VARIABLE_11187" $$unsorted)) % 1.11/1.38 (define @t1464 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t1463 tptp.emptyset)) @t1436)) % 1.11/1.38 (define @t1465 () (not (tptp.in @t1463 @t1))) % 1.11/1.38 (define @t1466 () (or @t1177 @t1465 @t1464)) % 1.11/1.38 (define @t1467 () (@list @t2 @t1 @t4 @t1463)) % 1.11/1.38 (define @t1468 () (forall @t1467 @t1466)) % 1.11/1.38 (define @t1469 () (= @t19 @t289)) % 1.11/1.38 (define @t1470 () (tptp.in @t289 @t1327)) % 1.11/1.38 (define @t1471 () (forall @t295 (or (not @t1470) @t740 @t1469))) % 1.11/1.38 (define @t1472 () (tptp.in @t1315 @t1437)) % 1.11/1.38 (define @t1473 () (forall @t245 (or @t1177 @t1472))) % 1.11/1.38 (define @t1474 () (tptp.powerset @t2)) % 1.11/1.38 (define @t1475 () (tptp.in @t1315 @t1474)) % 1.11/1.38 (define @t1476 () (forall @t46 (or @t1177 @t1475))) % 1.11/1.38 (define @t1477 () (tptp.subset @t1315 @t2)) % 1.11/1.38 (define @t1478 () (forall @t46 (or @t1177 @t1477))) % 1.11/1.38 (define @t1479 () (tptp.iskpair @t1169)) % 1.11/1.38 (define @t1480 () (forall @t135 @t1479)) % 1.11/1.38 (define @t1481 () (tptp.iskpair @t1329)) % 1.11/1.38 (define @t1482 () (forall @t135 @t1481)) % 1.11/1.38 (define @t1483 () (tptp.setunion @t1329)) % 1.11/1.38 (define @t1484 () (tptp.in @t19 @t1483)) % 1.11/1.38 (define @t1485 () (forall @t135 @t1484)) % 1.11/1.38 (define @t1486 () (tptp.in @t4 @t1483)) % 1.11/1.38 (define @t1487 () (forall @t135 @t1486)) % 1.11/1.38 (define @t1488 () (tptp.in @t19 @t1327)) % 1.11/1.38 (define @t1489 () (forall @t135 @t1488)) % 1.11/1.38 (define @t1490 () (tptp.symdiff @t2 @t1)) % 1.11/1.38 (define @t1491 () (tptp.in @t4 @t1490)) % 1.11/1.38 (define @t1492 () (not @t1491)) % 1.11/1.38 (define @t1493 () (tptp.in @t4 @t1)) % 1.11/1.38 (define @t1494 () (forall @t245 (or @t1176 @t1493 @t1492))) % 1.11/1.38 (define @t1495 () (not @t1493)) % 1.11/1.38 (define @t1496 () (forall @t245 (or @t1177 @t1495 @t1492))) % 1.11/1.38 (define @t1497 () (forall @t245 (or @t1176 @t1495 @t1491))) % 1.11/1.38 (define @t1498 () (forall @t245 (or @t1177 @t1493 @t1491))) % 1.11/1.38 (define @t1499 () (and @t1177 @t1493)) % 1.11/1.38 (define @t1500 () (and @t1176 @t1495)) % 1.11/1.38 (define @t1501 () (forall @t245 (or @t1492 @t1500 @t1499))) % 1.11/1.38 (define @t1502 () (tptp.subset @t2 @t1)) % 1.11/1.38 (define @t1503 () (tptp.setminus @t2 @t1)) % 1.11/1.38 (define @t1504 () (= tptp.emptyset @t1503)) % 1.11/1.38 (define @t1505 () (forall @t12 (or (not @t1504) @t1502))) % 1.11/1.38 (define @t1506 () (tptp.subset @t1503 @t2)) % 1.11/1.38 (define @t1507 () (forall @t12 @t1506)) % 1.11/1.38 (define @t1508 () (tptp.in @t4 @t1503)) % 1.11/1.38 (define @t1509 () (not @t1508)) % 1.11/1.38 (define @t1510 () (forall @t245 (or @t1495 @t1509))) % 1.11/1.38 (define @t1511 () (forall @t245 (or @t1176 @t1509))) % 1.11/1.38 (define @t1512 () (forall @t245 (or @t1508 @t1493 @t1177))) % 1.11/1.38 (define @t1513 () (forall @t245 (or @t1508 @t1177 @t1493))) % 1.11/1.38 (define @t1514 () (not @t1502)) % 1.11/1.38 (define @t1515 () (forall @t12 (or @t1514 @t1504))) % 1.11/1.38 (define @t1516 () (forall @t245 (or @t1509 @t1495))) % 1.11/1.38 (define @t1517 () (forall @t245 (or @t1509 @t1176))) % 1.11/1.38 (define @t1518 () (forall @t245 (or @t1177 @t1493 @t1508))) % 1.11/1.38 (define @t1519 () (tptp.binintersect @t2 @t104)) % 1.11/1.38 (define @t1520 () (tptp.binintersect @t2 @t1)) % 1.11/1.38 (define @t1521 () (tptp.binunion @t1520 @t1519)) % 1.11/1.38 (define @t1522 () (tptp.binunion @t1 @t104)) % 1.11/1.38 (define @t1523 () (tptp.binintersect @t2 @t1522)) % 1.11/1.38 (define @t1524 () (forall @t455 (= @t1523 @t1521))) % 1.11/1.38 (define @t1525 () (= @t2 @t1520)) % 1.11/1.38 (define @t1526 () (forall @t12 (or (not @t1525) @t1502))) % 1.11/1.38 (define @t1527 () (= @t1 @t1520)) % 1.11/1.38 (define @t1528 () (tptp.subset @t1 @t2)) % 1.11/1.38 (define @t1529 () (not @t1528)) % 1.11/1.38 (define @t1530 () (forall @t12 (or @t1529 @t1527))) % 1.11/1.38 (define @t1531 () (tptp.subset @t1520 @t1)) % 1.11/1.38 (define @t1532 () (forall @t12 @t1531)) % 1.11/1.38 (define @t1533 () (forall @t9 (or @t1177 @t1495))) % 1.11/1.38 (define @t1534 () (not @t1533)) % 1.11/1.38 (define @t1535 () (forall @t12 (or @t1534 (= tptp.emptyset @t1520)))) % 1.11/1.38 (define @t1536 () (tptp.in @t4 @t1520)) % 1.11/1.38 (define @t1537 () (not @t1536)) % 1.11/1.38 (define @t1538 () (forall @t245 (or @t1537 @t1493))) % 1.11/1.38 (define @t1539 () (forall @t12 (or (not @t1527) @t1528))) % 1.11/1.38 (define @t1540 () (forall @t12 (or @t1514 @t1525))) % 1.11/1.38 (define @t1541 () (tptp.subset @t1520 @t2)) % 1.11/1.38 (define @t1542 () (forall @t12 @t1541)) % 1.11/1.38 (define @t1543 () (forall @t245 (or @t1537 @t1176))) % 1.11/1.38 (define @t1544 () (tptp.subset @t104 @t1520)) % 1.11/1.38 (define @t1545 () (tptp.subset @t104 @t1)) % 1.11/1.38 (define @t1546 () (tptp.subset @t104 @t2)) % 1.11/1.38 (define @t1547 () (forall @t455 (or (not @t1546) (not @t1545) @t1544))) % 1.11/1.38 (define @t1548 () (forall @t245 (or @t1177 @t1495 @t1536))) % 1.11/1.38 (define @t1549 () (tptp.subset @t1 @t1436)) % 1.11/1.38 (define @t1550 () (forall @t12 @t1549)) % 1.11/1.38 (define @t1551 () (tptp.subset @t2 @t1436)) % 1.11/1.38 (define @t1552 () (forall @t12 @t1551)) % 1.11/1.38 (define @t1553 () (tptp.in @t4 @t1436)) % 1.11/1.38 (define @t1554 () (not @t1553)) % 1.11/1.38 (define @t1555 () (forall @t245 (or @t1554 @t1176 @t1493))) % 1.11/1.38 (define @t1556 () (forall @t245 (or @t1495 @t1553))) % 1.11/1.38 (define @t1557 () (forall @t245 (or @t1177 @t1553))) % 1.11/1.38 (define @t1558 () (forall @t309 (tptp.subset @t1195 @t2))) % 1.11/1.38 (define @t1559 () (forall @t309 (tptp.in @t1195 @t1474))) % 1.11/1.38 (define @t1560 () (tptp.powerset @t1)) % 1.11/1.38 (define @t1561 () (tptp.subset @t1474 @t1560)) % 1.11/1.38 (define @t1562 () (forall @t12 (or @t1514 @t1561))) % 1.11/1.38 (define @t1563 () (tptp.in @t2 @t1474)) % 1.11/1.38 (define @t1564 () (forall @t64 @t1563)) % 1.11/1.38 (define @t1565 () (tptp.in @t1 @t1474)) % 1.11/1.38 (define @t1566 () (not @t1565)) % 1.11/1.38 (define @t1567 () (forall @t12 (or @t1566 @t1528))) % 1.11/1.38 (define @t1568 () (forall @t12 (or @t1529 @t1565))) % 1.11/1.38 (define @t1569 () (tptp.subset @t2 tptp.emptyset)) % 1.11/1.38 (define @t1570 () (forall @t64 (or (not @t1569) @t196))) % 1.11/1.38 (define @t1571 () (forall @t12 (or @t1514 @t1529 @t3))) % 1.11/1.38 (define @t1572 () (tptp.in @t2 @t1560)) % 1.11/1.38 (define @t1573 () (forall @t12 (or @t1514 @t1572))) % 1.11/1.38 (define @t1574 () (tptp.setadjoin @t4 @t1)) % 1.11/1.38 (define @t1575 () (tptp.subset @t2 @t1574)) % 1.11/1.38 (define @t1576 () (forall @t249 (or @t1514 @t1575))) % 1.11/1.38 (define @t1577 () (tptp.setadjoin @t4 @t2)) % 1.11/1.38 (define @t1578 () (tptp.subset @t2 @t1577)) % 1.11/1.38 (define @t1579 () (forall @t459 @t1578)) % 1.11/1.38 (define @t1580 () (tptp.subset @t2 @t104)) % 1.11/1.38 (define @t1581 () (tptp.subset @t1 @t104)) % 1.11/1.38 (define @t1582 () (forall @t455 (or @t1514 (not @t1581) @t1580))) % 1.11/1.38 (define @t1583 () (tptp.subset @t2 @t2)) % 1.11/1.38 (define @t1584 () (forall @t64 @t1583)) % 1.11/1.38 (define @t1585 () (tptp.subset @t1 @t1)) % 1.11/1.38 (define @t1586 () (forall @t41 @t1585)) % 1.11/1.38 (define @t1587 () (forall @t245 (or @t1177 @t1493 @t1514))) % 1.11/1.38 (define @t1588 () (forall @t245 (or @t1514 @t1493 @t1177))) % 1.11/1.38 (define @t1589 () (forall @t245 (or @t1514 @t1177 @t1493))) % 1.11/1.38 (define @t1590 () (tptp.subset tptp.emptyset @t2)) % 1.11/1.38 (define @t1591 () (forall @t64 @t1590)) % 1.11/1.38 (define @t1592 () (forall @t9 (or @t1177 @t1493))) % 1.11/1.38 (define @t1593 () (not @t1592)) % 1.11/1.38 (define @t1594 () (forall @t12 (or @t1593 @t1502))) % 1.11/1.38 (define @t1595 () (@var "BOUND_VARIABLE_10585" (-> $$unsorted Bool))) % 1.11/1.38 (define @t1596 () (tptp.dsetconstr @t1 @t1595)) % 1.11/1.38 (define @t1597 () (@var "BOUND_VARIABLE_10587" (-> $$unsorted Bool))) % 1.11/1.38 (define @t1598 () (tptp.dsetconstr @t1 @t1597)) % 1.11/1.38 (define @t1599 () (= @t1598 @t1596)) % 1.11/1.38 (define @t1600 () (= (_ @t1595 @t4) (_ @t1597 @t4))) % 1.11/1.38 (define @t1601 () (or @t1495 @t1600)) % 1.11/1.38 (define @t1602 () (not (forall @t9 @t1601))) % 1.11/1.38 (define @t1603 () (or @t1602 @t1599)) % 1.11/1.38 (define @t1604 () (@list @t1 @t1595 @t1597)) % 1.11/1.38 (define @t1605 () (forall @t1604 @t1603)) % 1.11/1.38 (define @t1606 () (@var "BOUND_VARIABLE_10524" $$unsorted)) % 1.11/1.38 (define @t1607 () (_ @t366 @t19)) % 1.11/1.38 (define @t1608 () (not @t1607)) % 1.11/1.38 (define @t1609 () (not (_ @t366 @t1606))) % 1.11/1.38 (define @t1610 () (@var "BOUND_VARIABLE_10515" $$unsorted)) % 1.11/1.38 (define @t1611 () (not (_ @t143 @t1610))) % 1.11/1.38 (define @t1612 () (tptp.descr @t143)) % 1.11/1.38 (define @t1613 () (= @t1612 (tptp.descr @t366))) % 1.11/1.38 (define @t1614 () (= @t1392 @t1607)) % 1.11/1.38 (define @t1615 () (forall @t70 @t1614)) % 1.11/1.38 (define @t1616 () (not @t1615)) % 1.11/1.38 (define @t1617 () (@list @t143 @t366 @t1610 @t1606)) % 1.11/1.38 (define @t1618 () (forall @t1617 (or @t1616 @t1613 @t1611 (not (forall @t70 (or @t1393 (= @t19 @t1610)))) @t1609 (not (forall @t70 (or @t1608 (= @t19 @t1606))))))) % 1.11/1.38 (define @t1619 () (@var "BOUND_VARIABLE_10357" $$unsorted)) % 1.11/1.38 (define @t1620 () (@var "BOUND_VARIABLE_10355" $$unsorted)) % 1.11/1.38 (define @t1621 () (= @t1620 @t1619)) % 1.11/1.38 (define @t1622 () (not (_ @t143 @t1619))) % 1.11/1.38 (define @t1623 () (not (_ @t143 @t1620))) % 1.11/1.38 (define @t1624 () (@var "BOUND_VARIABLE_10346" $$unsorted)) % 1.11/1.38 (define @t1625 () (not (_ @t143 @t1624))) % 1.11/1.38 (define @t1626 () (@list @t143 @t1624 @t1620 @t1619)) % 1.11/1.38 (define @t1627 () (forall @t1626 (or @t1625 (not (forall @t70 (or @t1393 (= @t19 @t1624)))) @t1623 @t1622 @t1621))) % 1.11/1.38 (define @t1628 () (not (forall @t70 (or @t1608 @t129)))) % 1.11/1.38 (define @t1629 () (_ @t366 @t4)) % 1.11/1.38 (define @t1630 () (forall @t9 (or (not @t1629) @t1628))) % 1.11/1.38 (define @t1631 () (not @t1630)) % 1.11/1.38 (define @t1632 () (forall @t70 (or @t1393 @t129))) % 1.11/1.38 (define @t1633 () (not @t1632)) % 1.11/1.38 (define @t1634 () (forall @t9 (or @t1379 @t1633))) % 1.11/1.38 (define @t1635 () (not @t1634)) % 1.11/1.38 (define @t1636 () (= @t1635 @t1631)) % 1.11/1.38 (define @t1637 () (forall @t376 (or @t1616 @t1636))) % 1.11/1.38 (define @t1638 () (@var "BOUND_VARIABLE_10253" $$unsorted)) % 1.11/1.38 (define @t1639 () (@list @t143 @t1638)) % 1.11/1.38 (define @t1640 () (forall @t1639 (or (not (forall @t70 (= @t1392 (= @t19 @t1638)))) @t1635))) % 1.11/1.38 (define @t1641 () (forall @t135 (or @t1379 @t1393 @t129))) % 1.11/1.38 (define @t1642 () (not @t1641)) % 1.11/1.38 (define @t1643 () (@var "BOUND_VARIABLE_10237" $$unsorted)) % 1.11/1.38 (define @t1644 () (not (_ @t143 @t1643))) % 1.11/1.38 (define @t1645 () (or @t1644 @t1642 @t1635)) % 1.11/1.38 (define @t1646 () (forall (@list @t143 @t1643) @t1645)) % 1.11/1.38 (define @t1647 () (=> @t1646 (=> @t1640 (=> @t1627 (=> @t1637 (=> @t1627 (=> @t1618 (=> @t1605 (=> @t1594 (=> @t1586 (=> @t1586 (=> @t1594 (=> @t1591 (=> @t1589 (=> @t1588 (=> @t1587 (=> @t1586 (=> @t1584 (=> @t1582 (=> @t1579 (=> @t1576 (=> @t1573 (=> @t1571 (=> @t1570 (=> @t1568 (=> @t1567 (=> @t1564 (=> @t1562 (=> @t1559 (=> @t1558 (=> @t1557 (=> @t1489 (=> @t1556 (=> @t1555 (=> @t1555 (=> @t1552 (=> @t1550 (=> @t1548 (=> @t1547 (=> @t1543 (=> @t1542 (=> @t1540 (=> @t1539 (=> @t1538 (=> @t1535 (=> @t1532 (=> @t1530 (=> @t1526 (=> @t1524 (=> @t1518 (=> @t1517 (=> @t1516 (=> @t1515 (=> @t1513 (=> @t1512 (=> @t1511 (=> @t1510 (=> @t1507 (=> @t1505 (=> @t1501 (=> @t1498 (=> @t1497 (=> @t1496 (=> @t1494 (=> @t1489 (=> @t1487 (=> @t1485 (=> @t1482 (=> @t1480 (=> @t1478 (=> @t1476 (=> @t1473 (=> @t1471 (=> @t1468 (=> @t1462 (=> @t1456 (=> @t1450 (=> @t1444 (=> @t1435 (=> @t1429 (=> @t1422 (=> @t1421 (=> @t1413 (=> @t1411 (=> @t1407 (=> @t1386 (=> @t1405 (=> @t1398 (=> @t1386 (=> @t1366 (=> @t1365 (=> @t1363 (=> @t1355 (=> @t1348 (=> @t1345 (=> @t1343 (=> @t1342 (=> @t1341 (=> @t1339 (=> @t1336 (=> @t1332 (=> @t1331 (=> @t1320 (=> @t1317 (=> @t1307 (=> @t1304 (=> @t1301 (=> @t1299 (=> @t1298 @t1295))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.11/1.38 (define @t1648 () (tptp.prop2set true)) % 1.11/1.38 (define @t1649 () (tptp.set2prop @t1648)) % 1.11/1.38 (define @t1650 () (=> @t1649 @t1647)) % 1.11/1.38 (define @t1651 () (tptp.in tptp.emptyset @t1648)) % 1.11/1.38 (define @t1652 () (=> @t1651 @t1650)) % 1.11/1.38 (define @t1653 () (tptp.in @t4 tptp.emptyset)) % 1.11/1.38 (define @t1654 () (not @t1653)) % 1.11/1.38 (define @t1655 () (forall @t312 (or @t1654 @t1378))) % 1.11/1.38 (define @t1656 () (=> @t1655 @t1652)) % 1.11/1.38 (define @t1657 () (@var "BOUND_VARIABLE_10146" $$unsorted)) % 1.11/1.38 (define @t1658 () (not (_ @t143 @t1657))) % 1.11/1.38 (define @t1659 () (not (tptp.in @t1657 @t2))) % 1.11/1.38 (define @t1660 () (not (= tptp.emptyset @t1195))) % 1.11/1.38 (define @t1661 () (or @t1660 @t1659 @t1658)) % 1.11/1.38 (define @t1662 () (@list @t2 @t143 @t1657)) % 1.11/1.38 (define @t1663 () (forall @t1662 @t1661)) % 1.11/1.38 (define @t1664 () (=> @t1663 @t1656)) % 1.11/1.38 (define @t1665 () (=> @t1489 @t1664)) % 1.11/1.38 (define @t1666 () (tptp.in @t4 @t1327)) % 1.11/1.38 (define @t1667 () (forall @t135 @t1666)) % 1.11/1.38 (define @t1668 () (=> @t1667 @t1665)) % 1.11/1.38 (define @t1669 () (=> @t1471 @t1668)) % 1.11/1.38 (define @t1670 () (tptp.in @t19 @t1315)) % 1.11/1.38 (define @t1671 () (tptp.in @t4 @t1326)) % 1.11/1.38 (define @t1672 () (not @t1671)) % 1.11/1.38 (define @t1673 () (forall @t135 (or @t1672 @t1670))) % 1.11/1.38 (define @t1674 () (=> @t1673 @t1669)) % 1.11/1.38 (define @t1675 () (tptp.in @t19 @t1326)) % 1.11/1.38 (define @t1676 () (forall @t70 @t1675)) % 1.11/1.38 (define @t1677 () (=> @t1676 @t1674)) % 1.11/1.38 (define @t1678 () (forall @t135 (or @t129 (not @t1670)))) % 1.11/1.38 (define @t1679 () (=> @t1678 @t1677)) % 1.11/1.38 (define @t1680 () (forall @t135 (or @t1672 @t129))) % 1.11/1.38 (define @t1681 () (=> @t1680 @t1679)) % 1.11/1.38 (define @t1682 () (forall @t9 @t1177)) % 1.11/1.38 (define @t1683 () (not @t1682)) % 1.11/1.38 (define @t1684 () (forall @t64 (or @t196 @t1683))) % 1.11/1.38 (define @t1685 () (=> @t1684 @t1681)) % 1.11/1.38 (define @t1686 () (@var "BOUND_VARIABLE_10032" $$unsorted)) % 1.11/1.38 (define @t1687 () (not (_ @t143 @t1686))) % 1.11/1.38 (define @t1688 () (forall @t70 (= @t129 @t1392))) % 1.11/1.38 (define @t1689 () (forall @t9 (not @t1688))) % 1.11/1.38 (define @t1690 () (not @t1689)) % 1.11/1.38 (define @t1691 () (@list @t143 @t1686)) % 1.11/1.38 (define @t1692 () (forall @t1691 (or @t1690 @t1687 (not (forall @t70 (or @t1393 (= @t19 @t1686))))))) % 1.11/1.38 (define @t1693 () (=> @t1692 @t1685)) % 1.11/1.38 (define @t1694 () (tptp.powerset @t1418)) % 1.11/1.38 (define @t1695 () (tptp.in @t4 @t1694)) % 1.11/1.38 (define @t1696 () (forall @t46 (or @t1177 @t1695))) % 1.11/1.38 (define @t1697 () (=> @t1696 @t1693)) % 1.11/1.38 (define @t1698 () (tptp.in @t1 @t2)) % 1.11/1.38 (define @t1699 () (not @t1698)) % 1.11/1.38 (define @t1700 () (forall @t41 (or @t1495 @t1699))) % 1.11/1.38 (define @t1701 () (not @t1700)) % 1.11/1.38 (define @t1702 () (forall @t46 (or @t1420 @t1701))) % 1.11/1.38 (define @t1703 () (=> @t1702 @t1697)) % 1.11/1.38 (define @t1704 () (forall @t249 (or @t1495 @t1699 @t1419))) % 1.11/1.38 (define @t1705 () (=> @t1704 @t1703)) % 1.11/1.38 (define @t1706 () (forall @t245 (or @t1566 @t1495 @t1176))) % 1.11/1.38 (define @t1707 () (=> @t1706 @t1705)) % 1.11/1.38 (define @t1708 () (tptp.in tptp.emptyset @t1474)) % 1.11/1.38 (define @t1709 () (forall @t64 @t1708)) % 1.11/1.38 (define @t1710 () (=> @t1709 @t1707)) % 1.11/1.38 (define @t1711 () (=> @t1709 @t1710)) % 1.11/1.38 (define @t1712 () (forall @t9 (or @t1495 @t1176))) % 1.11/1.38 (define @t1713 () (not @t1712)) % 1.11/1.38 (define @t1714 () (forall @t12 (or @t1713 @t1565))) % 1.11/1.38 (define @t1715 () (=> @t1714 @t1711)) % 1.11/1.38 (define @t1716 () (@var "BOUND_VARIABLE_56477" $$unsorted)) % 1.11/1.38 (define @t1717 () (lambda (@list @t1716) true)) % 1.11/1.38 (define @t1718 () (tptp.dsetconstr @t2 @t1717)) % 1.11/1.38 (define @t1719 () (forall @t64 (= @t2 @t1718))) % 1.11/1.38 (define @t1720 () (=> @t1719 @t1715)) % 1.11/1.38 (define @t1721 () (tptp.in @t19 @t1577)) % 1.11/1.38 (define @t1722 () (forall @t28 (or (not @t1721) @t129 @t1394))) % 1.11/1.38 (define @t1723 () (=> @t1722 @t1720)) % 1.11/1.38 (define @t1724 () (=> @t1722 @t1723)) % 1.11/1.38 (define @t1725 () (forall @t28 (or @t1395 @t1721))) % 1.11/1.38 (define @t1726 () (=> @t1725 @t1724)) % 1.11/1.38 (define @t1727 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.11/1.38 (define @t1728 () (tptp.in tptp.emptyset @t1727)) % 1.11/1.38 (define @t1729 () (=> @t221 @t1726)) % 1.11/1.38 (define @t1730 () (tptp.setadjoin @t4 @t19)) % 1.11/1.38 (define @t1731 () (tptp.in @t4 @t1730)) % 1.11/1.38 (define @t1732 () (forall @t135 @t1731)) % 1.11/1.38 (define @t1733 () (=> @t1732 @t1729)) % 1.11/1.38 (define @t1734 () (@var "BOUND_VARIABLE_9873" $$unsorted)) % 1.11/1.38 (define @t1735 () (not (tptp.in @t1734 tptp.emptyset))) % 1.11/1.38 (define @t1736 () (@list @t1734)) % 1.11/1.38 (define @t1737 () (forall @t1736 @t1735)) % 1.11/1.38 (define @t1738 () (=> @t1737 @t1733)) % 1.11/1.38 (define @t1739 () (forall @t159 (or @t1177 @t1379 @t1660))) % 1.11/1.38 (define @t1740 () (=> @t1739 @t1738)) % 1.11/1.38 (define @t1741 () (=> @t1684 @t1740)) % 1.11/1.38 (define @t1742 () (forall @t159 (or @t1177 (= @t1378 @t1370)))) % 1.11/1.38 (define @t1743 () (=> @t1742 @t1741)) % 1.11/1.38 (define @t1744 () (forall @t64 (or @t1683 @t196))) % 1.11/1.38 (define @t1745 () (=> @t1744 @t1743)) % 1.11/1.38 (define @t1746 () (=> @t1744 @t1745)) % 1.11/1.38 (define @t1747 () (or @t1593 @t1713 @t3)) % 1.11/1.38 (define @t1748 () (forall @t12 @t1747)) % 1.11/1.38 (define @t1749 () (=> @t1748 @t1746)) % 1.11/1.38 (define @t1750 () (@var "BOUND_VARIABLE_9770" $$unsorted)) % 1.11/1.38 (define @t1751 () (not (_ @t143 @t1750))) % 1.11/1.38 (define @t1752 () (forall @t9 @t1379)) % 1.11/1.38 (define @t1753 () (not @t1752)) % 1.11/1.38 (define @t1754 () (@list @t143 @t1750)) % 1.11/1.38 (define @t1755 () (forall @t1754 (or @t1753 @t1751 (not (forall @t70 (or @t1393 (= @t19 @t1750))))))) % 1.11/1.38 (define @t1756 () (=> @t1755 @t1749)) % 1.11/1.38 (define @t1757 () (forall @t9 @t1654)) % 1.11/1.38 (define @t1758 () (=> @t1757 @t1756)) % 1.11/1.38 (define @t1759 () (=> @t1757 @t1758)) % 1.11/1.38 (define @t1760 () (=> @t1757 @t1759)) % 1.11/1.38 (define @t1761 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.11/1.38 (define @t1762 () (forall @t9 @t1761)) % 1.11/1.38 (define @t1763 () (=> @t1762 @t1760)) % 1.11/1.38 (define @t1764 () (forall @t159 (or @t1371 @t1378))) % 1.11/1.38 (define @t1765 () (=> @t1764 @t1763)) % 1.11/1.38 (define @t1766 () (forall @t159 (or @t1371 @t1176))) % 1.11/1.38 (define @t1767 () (=> @t1766 @t1765)) % 1.11/1.38 (define @t1768 () (forall @t159 (or @t1177 @t1379 @t1370))) % 1.11/1.38 (define @t1769 () (=> @t1768 @t1767)) % 1.11/1.38 (define @t1770 () (@var "BOUND_VARIABLE_9672" $$unsorted)) % 1.11/1.38 (define @t1771 () (not (_ @t143 @t1770))) % 1.11/1.38 (define @t1772 () (_ @t143 @t1612)) % 1.11/1.38 (define @t1773 () (@list @t143 @t1770)) % 1.11/1.38 (define @t1774 () (forall @t1773 (or @t1772 @t1771 (not (forall @t70 (or @t1393 (= @t19 @t1770))))))) % 1.11/1.38 (define @t1775 () (=> @t1774 @t1769)) % 1.11/1.38 (define @t1776 () (@var "BOUND_VARIABLE_9592" $$unsorted)) % 1.11/1.38 (define @t1777 () (tptp.in @t1776 @t95)) % 1.11/1.38 (define @t1778 () (not (tptp.in @t1776 @t93))) % 1.11/1.38 (define @t1779 () (tptp.in @t4 @t93)) % 1.11/1.38 (define @t1780 () (tptp.in @t93 @t1)) % 1.11/1.38 (define @t1781 () (not @t1780)) % 1.11/1.38 (define @t1782 () (or @t1781 @t1779 @t1778 @t1777)) % 1.11/1.38 (define @t1783 () (@list @t93 @t1776)) % 1.11/1.38 (define @t1784 () (forall @t1783 @t1782)) % 1.11/1.38 (define @t1785 () (not @t1784)) % 1.11/1.38 (define @t1786 () (tptp.in @t19 @t104)) % 1.11/1.38 (define @t1787 () (tptp.in @t19 @t95)) % 1.11/1.38 (define @t1788 () (forall @t70 (or (not @t1787) (not @t1786)))) % 1.11/1.38 (define @t1789 () (not @t1788)) % 1.11/1.38 (define @t1790 () (tptp.in @t4 @t104)) % 1.11/1.38 (define @t1791 () (not @t1790)) % 1.11/1.38 (define @t1792 () (tptp.in @t95 @t1)) % 1.11/1.38 (define @t1793 () (not @t1792)) % 1.11/1.38 (define @t1794 () (not (forall @t112 (or @t1793 @t1791 @t1789 @t1785)))) % 1.11/1.38 (define @t1795 () (@var "BOUND_VARIABLE_9621" $$unsorted)) % 1.11/1.38 (define @t1796 () (not (tptp.in @t1795 @t104))) % 1.11/1.38 (define @t1797 () (forall @t9 (or @t1791 @t1176))) % 1.11/1.38 (define @t1798 () (not @t1797)) % 1.11/1.38 (define @t1799 () (or @t1798 @t1796 @t1794)) % 1.11/1.38 (define @t1800 () (forall (@list @t104 @t1795) @t1799)) % 1.11/1.38 (define @t1801 () (not @t1800)) % 1.11/1.38 (define @t1802 () (@var "BOUND_VARIABLE_9544" $$unsorted)) % 1.11/1.38 (define @t1803 () (tptp.in @t1802 @t104)) % 1.11/1.38 (define @t1804 () (not (tptp.in @t1802 @t95))) % 1.11/1.38 (define @t1805 () (@var "BOUND_VARIABLE_9538" $$unsorted)) % 1.11/1.38 (define @t1806 () (tptp.in @t1805 @t95)) % 1.11/1.38 (define @t1807 () (not (tptp.in @t1805 @t104))) % 1.11/1.38 (define @t1808 () (tptp.in @t104 @t1)) % 1.11/1.38 (define @t1809 () (not @t1808)) % 1.11/1.38 (define @t1810 () (or @t1809 @t1793 @t1807 @t1806 @t1804 @t1803)) % 1.11/1.38 (define @t1811 () (@list @t104 @t95 @t1805 @t1802)) % 1.11/1.38 (define @t1812 () (forall @t1811 @t1810)) % 1.11/1.38 (define @t1813 () (not @t1812)) % 1.11/1.38 (define @t1814 () (forall @t118 (or @t1809 (= @t1790 @t1786)))) % 1.11/1.38 (define @t1815 () (not @t1814)) % 1.11/1.38 (define @t1816 () (forall @t135 (or @t1177 @t1395 @t1815 @t129))) % 1.11/1.38 (define @t1817 () (not @t1816)) % 1.11/1.38 (define @t1818 () (@var "BOUND_VARIABLE_9487" $$unsorted)) % 1.11/1.38 (define @t1819 () (tptp.in @t1818 @t2)) % 1.11/1.38 (define @t1820 () (not (tptp.in @t1818 @t104))) % 1.11/1.38 (define @t1821 () (or @t1809 @t1820 @t1819)) % 1.11/1.38 (define @t1822 () (@list @t104 @t1818)) % 1.11/1.38 (define @t1823 () (forall @t1822 @t1821)) % 1.11/1.38 (define @t1824 () (not @t1823)) % 1.11/1.38 (define @t1825 () (or @t1824 @t1817 @t1813 @t1801)) % 1.11/1.38 (define @t1826 () (forall @t64 (not (forall @t41 @t1825)))) % 1.11/1.38 (define @t1827 () (=> @t1826 @t1775)) % 1.11/1.38 (define @t1828 () (forall @t9 (or @t1495 @t1177))) % 1.11/1.38 (define @t1829 () (not @t1828)) % 1.11/1.38 (define @t1830 () (not (forall @t41 (or @t1699 @t1829)))) % 1.11/1.38 (define @t1831 () (@var "BOUND_VARIABLE_9462" $$unsorted)) % 1.11/1.38 (define @t1832 () (not (tptp.in @t1831 @t2))) % 1.11/1.38 (define @t1833 () (or @t1832 @t1830)) % 1.11/1.38 (define @t1834 () (forall (@list @t2 @t1831) @t1833)) % 1.11/1.38 (define @t1835 () (=> @t1834 @t1827)) % 1.11/1.38 (define @t1836 () (_ @t67 @t19 @t4)) % 1.11/1.38 (define @t1837 () (not (forall @t70 (or @t1395 (not @t1836))))) % 1.11/1.38 (define @t1838 () (forall @t9 (= @t1493 @t1837))) % 1.11/1.38 (define @t1839 () (not (forall @t41 (not @t1838)))) % 1.11/1.38 (define @t1840 () (@var "BOUND_VARIABLE_9352" $$unsorted)) % 1.11/1.38 (define @t1841 () (= @t19 @t1840)) % 1.11/1.38 (define @t1842 () (not @t1261)) % 1.11/1.38 (define @t1843 () (not (forall @t70 (or @t1842 @t1841)))) % 1.11/1.38 (define @t1844 () (_ @t67 @t4 @t1840)) % 1.11/1.38 (define @t1845 () (@list @t1840)) % 1.11/1.38 (define @t1846 () (not (forall @t1845 (or (not @t1844) @t1843)))) % 1.11/1.38 (define @t1847 () (forall @t9 (or @t1177 @t1846))) % 1.11/1.38 (define @t1848 () (forall @t81 (or (not @t1847) @t1839))) % 1.11/1.38 (define @t1849 () (=> @t1848 @t1835)) % 1.11/1.38 (define @t1850 () (@var "BOUND_VARIABLE_9333" $$unsorted)) % 1.11/1.38 (define @t1851 () (tptp.in @t1850 @t2)) % 1.11/1.38 (define @t1852 () (not (tptp.in @t1850 tptp.omega))) % 1.11/1.38 (define @t1853 () (tptp.setadjoin @t4 @t4)) % 1.11/1.38 (define @t1854 () (tptp.in @t1853 @t2)) % 1.11/1.38 (define @t1855 () (tptp.in @t4 tptp.omega)) % 1.11/1.38 (define @t1856 () (not @t1855)) % 1.11/1.38 (define @t1857 () (forall @t9 (or @t1856 @t1177 @t1854))) % 1.11/1.38 (define @t1858 () (not @t1857)) % 1.11/1.38 (define @t1859 () (tptp.in tptp.emptyset @t2)) % 1.11/1.38 (define @t1860 () (not @t1859)) % 1.11/1.38 (define @t1861 () (or @t1860 @t1858 @t1852 @t1851)) % 1.11/1.38 (define @t1862 () (@list @t2 @t1850)) % 1.11/1.38 (define @t1863 () (forall @t1862 @t1861)) % 1.11/1.38 (define @t1864 () (=> @t1863 @t1849)) % 1.11/1.38 (define @t1865 () (tptp.in @t1853 tptp.omega)) % 1.11/1.38 (define @t1866 () (forall @t9 (or @t1856 @t1865))) % 1.11/1.38 (define @t1867 () (=> @t1866 @t1864)) % 1.11/1.38 (define @t1868 () (tptp.in tptp.emptyset tptp.omega)) % 1.11/1.38 (define @t1869 () (=> @t50 @t1867)) % 1.11/1.38 (define @t1870 () (forall @t46 (= @t1701 @t1419))) % 1.11/1.38 (define @t1871 () (=> @t1870 @t1869)) % 1.11/1.38 (define @t1872 () (forall @t12 (= @t1712 @t1565))) % 1.11/1.38 (define @t1873 () (=> @t1872 @t1871)) % 1.11/1.38 (define @t1874 () (or @t129 @t1394)) % 1.11/1.38 (define @t1875 () (forall @t28 (= @t1721 @t1874))) % 1.11/1.38 (define @t1876 () (=> @t1875 @t1873)) % 1.11/1.38 (define @t1877 () (=> @t1757 @t1876)) % 1.11/1.38 (define @t1878 () (forall @t9 (= @t1176 @t1493))) % 1.11/1.38 (define @t1879 () (forall @t12 (or (not @t1878) @t3))) % 1.11/1.38 (define @t1880 () (=> @t1879 @t1877)) % 1.11/1.38 (define @t1881 () (=> @t1298 (=> true @t1295))) % 1.11/1.38 (define @t1882 () (=> @t1299 @t1881)) % 1.11/1.38 (define @t1883 () (=> @t1301 @t1882)) % 1.11/1.38 (define @t1884 () (=> @t1304 @t1883)) % 1.11/1.38 (define @t1885 () (=> @t1307 @t1884)) % 1.11/1.38 (define @t1886 () (=> @t1317 @t1885)) % 1.11/1.38 (define @t1887 () (=> @t1320 @t1886)) % 1.11/1.38 (define @t1888 () (=> @t1331 @t1887)) % 1.11/1.38 (define @t1889 () (=> @t1332 @t1888)) % 1.11/1.38 (define @t1890 () (=> @t1336 @t1889)) % 1.11/1.38 (define @t1891 () (=> @t1339 @t1890)) % 1.11/1.38 (define @t1892 () (=> @t1341 @t1891)) % 1.11/1.38 (define @t1893 () (=> @t1342 @t1892)) % 1.11/1.38 (define @t1894 () (=> @t1343 @t1893)) % 1.11/1.38 (define @t1895 () (=> @t1345 @t1894)) % 1.11/1.38 (define @t1896 () (=> @t1348 @t1895)) % 1.11/1.38 (define @t1897 () (=> @t1355 @t1896)) % 1.11/1.38 (define @t1898 () (=> @t1363 @t1897)) % 1.11/1.38 (define @t1899 () (=> @t1365 @t1898)) % 1.11/1.38 (define @t1900 () (=> @t1366 @t1899)) % 1.11/1.38 (define @t1901 () (=> @t1386 @t1900)) % 1.11/1.38 (define @t1902 () (=> @t1398 @t1901)) % 1.11/1.38 (define @t1903 () (=> @t1405 @t1902)) % 1.11/1.38 (define @t1904 () (=> @t1386 @t1903)) % 1.11/1.38 (define @t1905 () (=> @t1407 @t1904)) % 1.11/1.38 (define @t1906 () (=> @t1411 @t1905)) % 1.11/1.38 (define @t1907 () (=> @t1413 @t1906)) % 1.11/1.38 (define @t1908 () (=> @t1421 @t1907)) % 1.11/1.38 (define @t1909 () (=> @t1422 @t1908)) % 1.11/1.38 (define @t1910 () (=> @t1429 @t1909)) % 1.11/1.38 (define @t1911 () (=> @t1435 @t1910)) % 1.11/1.38 (define @t1912 () (=> @t1444 @t1911)) % 1.11/1.38 (define @t1913 () (=> @t1450 @t1912)) % 1.11/1.38 (define @t1914 () (=> @t1456 @t1913)) % 1.11/1.38 (define @t1915 () (=> @t1462 @t1914)) % 1.11/1.38 (define @t1916 () (=> @t1468 @t1915)) % 1.11/1.38 (define @t1917 () (=> @t1471 @t1916)) % 1.11/1.38 (define @t1918 () (=> @t1473 @t1917)) % 1.11/1.38 (define @t1919 () (=> @t1476 @t1918)) % 1.11/1.38 (define @t1920 () (=> @t1478 @t1919)) % 1.11/1.38 (define @t1921 () (=> @t1480 @t1920)) % 1.11/1.38 (define @t1922 () (=> @t1482 @t1921)) % 1.11/1.38 (define @t1923 () (=> @t1485 @t1922)) % 1.11/1.38 (define @t1924 () (=> @t1487 @t1923)) % 1.11/1.38 (define @t1925 () (=> @t1489 @t1924)) % 1.11/1.38 (define @t1926 () (=> @t1494 @t1925)) % 1.11/1.38 (define @t1927 () (=> @t1496 @t1926)) % 1.11/1.38 (define @t1928 () (=> @t1497 @t1927)) % 1.11/1.38 (define @t1929 () (=> @t1498 @t1928)) % 1.11/1.38 (define @t1930 () (=> @t1501 @t1929)) % 1.11/1.38 (define @t1931 () (=> @t1505 @t1930)) % 1.11/1.38 (define @t1932 () (=> @t1507 @t1931)) % 1.11/1.38 (define @t1933 () (=> @t1510 @t1932)) % 1.11/1.38 (define @t1934 () (=> @t1511 @t1933)) % 1.11/1.38 (define @t1935 () (=> @t1512 @t1934)) % 1.11/1.38 (define @t1936 () (=> @t1513 @t1935)) % 1.11/1.38 (define @t1937 () (=> @t1515 @t1936)) % 1.11/1.38 (define @t1938 () (=> @t1516 @t1937)) % 1.11/1.38 (define @t1939 () (=> @t1517 @t1938)) % 1.11/1.38 (define @t1940 () (=> @t1518 @t1939)) % 1.11/1.38 (define @t1941 () (=> @t1524 @t1940)) % 1.11/1.38 (define @t1942 () (=> @t1526 @t1941)) % 1.11/1.38 (define @t1943 () (=> @t1530 @t1942)) % 1.11/1.38 (define @t1944 () (=> @t1532 @t1943)) % 1.11/1.38 (define @t1945 () (=> @t1535 @t1944)) % 1.11/1.38 (define @t1946 () (=> @t1538 @t1945)) % 1.11/1.38 (define @t1947 () (=> @t1539 @t1946)) % 1.11/1.38 (define @t1948 () (=> @t1540 @t1947)) % 1.11/1.38 (define @t1949 () (=> @t1542 @t1948)) % 1.11/1.38 (define @t1950 () (=> @t1543 @t1949)) % 1.11/1.38 (define @t1951 () (=> @t1547 @t1950)) % 1.11/1.38 (define @t1952 () (=> @t1548 @t1951)) % 1.11/1.38 (define @t1953 () (=> @t1550 @t1952)) % 1.11/1.38 (define @t1954 () (=> @t1552 @t1953)) % 1.11/1.38 (define @t1955 () (=> @t1555 @t1954)) % 1.11/1.38 (define @t1956 () (=> @t1555 @t1955)) % 1.11/1.38 (define @t1957 () (=> @t1556 @t1956)) % 1.11/1.38 (define @t1958 () (=> @t1489 @t1957)) % 1.11/1.38 (define @t1959 () (=> @t1557 @t1958)) % 1.11/1.38 (define @t1960 () (=> @t1558 @t1959)) % 1.11/1.38 (define @t1961 () (=> @t1559 @t1960)) % 1.11/1.38 (define @t1962 () (=> @t1562 @t1961)) % 1.11/1.38 (define @t1963 () (=> @t1564 @t1962)) % 1.11/1.38 (define @t1964 () (=> @t1567 @t1963)) % 1.11/1.38 (define @t1965 () (=> @t1568 @t1964)) % 1.11/1.38 (define @t1966 () (=> @t1570 @t1965)) % 1.11/1.38 (define @t1967 () (=> @t1571 @t1966)) % 1.11/1.38 (define @t1968 () (=> @t1573 @t1967)) % 1.11/1.38 (define @t1969 () (=> @t1576 @t1968)) % 1.11/1.38 (define @t1970 () (=> @t1579 @t1969)) % 1.11/1.38 (define @t1971 () (=> @t1582 @t1970)) % 1.11/1.38 (define @t1972 () (=> @t1584 @t1971)) % 1.11/1.38 (define @t1973 () (=> @t1586 (=> true @t1972))) % 1.11/1.38 (define @t1974 () (=> @t1587 @t1973)) % 1.11/1.38 (define @t1975 () (=> @t1588 @t1974)) % 1.11/1.38 (define @t1976 () (=> @t1589 @t1975)) % 1.11/1.38 (define @t1977 () (=> @t1591 @t1976)) % 1.11/1.38 (define @t1978 () (=> @t1594 @t1977)) % 1.11/1.38 (define @t1979 () (=> @t1586 @t1978)) % 1.11/1.38 (define @t1980 () (=> @t1586 @t1979)) % 1.11/1.38 (define @t1981 () (=> @t1594 @t1980)) % 1.11/1.38 (define @t1982 () (=> @t1605 @t1981)) % 1.11/1.38 (define @t1983 () (=> @t1618 @t1982)) % 1.11/1.38 (define @t1984 () (=> @t1627 @t1983)) % 1.11/1.38 (define @t1985 () (=> true (=> true @t1984))) % 1.11/1.38 (define @t1986 () (=> true @t1985)) % 1.11/1.38 (define @t1987 () (=> true @t1986)) % 1.11/1.38 (define @t1988 () (=> true @t1987)) % 1.11/1.38 (define @t1989 () (=> @t1637 @t1988)) % 1.11/1.38 (define @t1990 () (=> @t1627 @t1989)) % 1.11/1.38 (define @t1991 () (=> true (=> true @t1990))) % 1.11/1.38 (define @t1992 () (=> @t1640 @t1991)) % 1.11/1.38 (define @t1993 () (=> @t1646 @t1992)) % 1.11/1.38 (define @t1994 () (=> true (=> true @t1993))) % 1.11/1.38 (define @t1995 () (=> true @t1994)) % 1.11/1.38 (define @t1996 () (=> @t1649 @t1995)) % 1.11/1.38 (define @t1997 () (=> @t1651 @t1996)) % 1.11/1.38 (define @t1998 () (=> true (=> true @t1997))) % 1.11/1.38 (define @t1999 () (=> true @t1998)) % 1.11/1.38 (define @t2000 () (=> true @t1999)) % 1.11/1.38 (define @t2001 () (=> @t1655 @t2000)) % 1.11/1.38 (define @t2002 () (=> @t1663 @t2001)) % 1.11/1.38 (define @t2003 () (=> @t1489 @t2002)) % 1.11/1.38 (define @t2004 () (=> @t1667 @t2003)) % 1.11/1.38 (define @t2005 () (=> @t1471 @t2004)) % 1.11/1.38 (define @t2006 () (=> @t1673 @t2005)) % 1.11/1.38 (define @t2007 () (=> @t1676 @t2006)) % 1.11/1.38 (define @t2008 () (=> @t1678 @t2007)) % 1.11/1.38 (define @t2009 () (=> @t1680 @t2008)) % 1.11/1.38 (define @t2010 () (=> @t1684 @t2009)) % 1.11/1.38 (define @t2011 () (=> @t1692 @t2010)) % 1.11/1.38 (define @t2012 () (=> @t1696 @t2011)) % 1.11/1.38 (define @t2013 () (=> @t1702 @t2012)) % 1.11/1.38 (define @t2014 () (=> @t1704 @t2013)) % 1.11/1.38 (define @t2015 () (=> @t1706 @t2014)) % 1.11/1.38 (define @t2016 () (=> @t1709 @t2015)) % 1.11/1.38 (define @t2017 () (=> @t1709 @t2016)) % 1.11/1.38 (define @t2018 () (=> @t1714 @t2017)) % 1.11/1.38 (define @t2019 () (=> @t1719 @t2018)) % 1.11/1.38 (define @t2020 () (=> @t1722 @t2019)) % 1.11/1.38 (define @t2021 () (=> @t1722 @t2020)) % 1.11/1.38 (define @t2022 () (=> @t1725 @t2021)) % 1.11/1.38 (define @t2023 () (=> @t221 @t2022)) % 1.11/1.38 (define @t2024 () (=> @t1732 @t2023)) % 1.11/1.38 (define @t2025 () (=> @t1737 @t2024)) % 1.11/1.38 (define @t2026 () (=> @t1739 @t2025)) % 1.11/1.38 (define @t2027 () (=> @t1684 @t2026)) % 1.11/1.38 (define @t2028 () (=> @t1742 @t2027)) % 1.11/1.38 (define @t2029 () (=> @t1744 @t2028)) % 1.11/1.38 (define @t2030 () (=> @t1744 @t2029)) % 1.11/1.38 (define @t2031 () (=> @t1748 @t2030)) % 1.11/1.38 (define @t2032 () (=> @t1755 @t2031)) % 1.11/1.38 (define @t2033 () (=> @t1757 @t2032)) % 1.11/1.38 (define @t2034 () (=> @t1757 @t2033)) % 1.11/1.38 (define @t2035 () (=> @t1757 @t2034)) % 1.11/1.38 (define @t2036 () (=> @t1762 @t2035)) % 1.11/1.38 (define @t2037 () (=> @t1764 (=> true @t2036))) % 1.11/1.38 (define @t2038 () (=> @t1766 @t2037)) % 1.11/1.38 (define @t2039 () (=> @t1768 @t2038)) % 1.11/1.38 (define @t2040 () (=> @t1774 @t2039)) % 1.11/1.38 (define @t2041 () (=> @t1826 @t2040)) % 1.11/1.38 (define @t2042 () (=> @t1834 @t2041)) % 1.11/1.38 (define @t2043 () (=> @t1848 @t2042)) % 1.11/1.38 (define @t2044 () (=> @t1863 @t2043)) % 1.11/1.38 (define @t2045 () (=> @t1866 @t2044)) % 1.11/1.38 (define @t2046 () (=> @t50 @t2045)) % 1.11/1.38 (define @t2047 () (=> @t1870 @t2046)) % 1.11/1.38 (define @t2048 () (=> @t1872 @t2047)) % 1.11/1.38 (define @t2049 () (=> @t1875 @t2048)) % 1.11/1.38 (define @t2050 () (=> @t1757 @t2049)) % 1.11/1.38 (define @t2051 () (=> @t1879 @t2050)) % 1.11/1.38 (define @t2052 () (not (= @t1194 @t1195))) % 1.11/1.38 (define @t2053 () (or @t1196 @t2052 @t1192 @t1191 @t1190 @t1189 @t1188)) % 1.11/1.38 (define @t2054 () (or @t1192 @t1191 @t1190 @t1189 @t1188)) % 1.11/1.38 (define @t2055 () (or @t1196 @t2052)) % 1.11/1.38 (define @t2056 () (or @t2055 @t2054)) % 1.11/1.38 (define @t2057 () (forall @t1197 @t2056)) % 1.11/1.38 (define @t2058 () (forall (@list @t1193 @t1187 @t1186) @t2056)) % 1.11/1.38 (define @t2059 () (forall (@list @t1187 @t1186) @t2054)) % 1.11/1.38 (define @t2060 () (forall (@list @t1193) @t2055)) % 1.11/1.38 (define @t2061 () (@list @t4)) % 1.11/1.38 (define @t2062 () (or @t2060 @t2059)) % 1.11/1.38 (define @t2063 () (not @t1373)) % 1.11/1.38 (define @t2064 () (or @t1377 @t1376 @t1375)) % 1.11/1.38 (define @t2065 () (or @t1177 @t1379 @t2064)) % 1.11/1.38 (define @t2066 () (forall @t1381 @t2065)) % 1.11/1.38 (define @t2067 () (@list @t1374)) % 1.11/1.38 (define @t2068 () (forall @t2067 @t2065)) % 1.11/1.38 (define @t2069 () (forall @t2067 @t2064)) % 1.11/1.38 (define @t2070 () (@list @t19)) % 1.11/1.38 (define @t2071 () (or @t1177 @t1379 @t2069)) % 1.11/1.38 (define @t2072 () (or @t197 @t315 @t1396)) % 1.11/1.38 (define @t2073 () (or @t315 @t1396)) % 1.11/1.38 (define @t2074 () (not @t153)) % 1.11/1.38 (define @t2075 () (not @t21)) % 1.11/1.38 (define @t2076 () (or @t2075 @t2074 @t129)) % 1.11/1.38 (define @t2077 () (forall @t70 @t2076)) % 1.11/1.38 (define @t2078 () (or @t315 @t2077)) % 1.11/1.38 (define @t2079 () (or @t315 @t2076)) % 1.11/1.38 (define @t2080 () (or @t2075 @t315 @t2074 @t129)) % 1.11/1.38 (define @t2081 () (or @t315 @t2074 @t129)) % 1.11/1.38 (define @t2082 () (or @t2074 @t129)) % 1.11/1.38 (define @t2083 () (@var "BOUND_VARIABLE_11514" $$unsorted)) % 1.11/1.38 (define @t2084 () (_ @t143 @t2083)) % 1.11/1.38 (define @t2085 () (@list @t2083)) % 1.11/1.38 (define @t2086 () (lambda @t2085 @t2084)) % 1.11/1.38 (define @t2087 () (tptp.dsetconstr @t2 @t2086)) % 1.11/1.38 (define @t2088 () (= @t1315 @t2087)) % 1.11/1.38 (define @t2089 () (not @t2088)) % 1.11/1.38 (define @t2090 () (tptp.in @t4 @t2087)) % 1.11/1.38 (define @t2091 () (not @t2090)) % 1.11/1.38 (define @t2092 () (or @t2091 @t2089)) % 1.11/1.38 (define @t2093 () (_ @t143 @t2083)) % 1.11/1.38 (define @t2094 () (lambda @t2085 @t2093)) % 1.11/1.38 (define @t2095 () (tptp.dsetconstr @t2 @t2094)) % 1.11/1.38 (define @t2096 () (= @t1315 @t2095)) % 1.11/1.38 (define @t2097 () (not @t2096)) % 1.11/1.38 (define @t2098 () (tptp.in @t4 @t2095)) % 1.11/1.38 (define @t2099 () (not @t2098)) % 1.11/1.38 (define @t2100 () (or @t2099 @t2097)) % 1.11/1.38 (define @t2101 () (tptp.dsetconstr @t2 @t145)) % 1.11/1.38 (define @t2102 () (= @t1315 @t2101)) % 1.11/1.38 (define @t2103 () (not @t2102)) % 1.11/1.38 (define @t2104 () (tptp.in @t4 @t2101)) % 1.11/1.38 (define @t2105 () (not @t2104)) % 1.11/1.38 (define @t2106 () (or @t2105 @t2103)) % 1.11/1.38 (define @t2107 () (forall @t9 @t2106)) % 1.11/1.38 (define @t2108 () (not @t2107)) % 1.11/1.38 (define @t2109 () (lambda @t150 @t1373)) % 1.11/1.38 (define @t2110 () (lambda @t309 @t1373)) % 1.11/1.38 (define @t2111 () (_ @t2110 @t2)) % 1.11/1.38 (define @t2112 () (_ @t2111 @t145)) % 1.11/1.38 (define @t2113 () (=> @t2112 @t716)) % 1.11/1.38 (define @t2114 () (forall @t309 @t2113)) % 1.11/1.38 (define @t2115 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 1.11/1.38 (define @t2116 () (_ @t143 @t2115)) % 1.11/1.38 (define @t2117 () (@list @t2115)) % 1.11/1.38 (define @t2118 () (lambda @t2117 @t2116)) % 1.11/1.38 (define @t2119 () (tptp.dsetconstr @t2 @t2118)) % 1.11/1.38 (define @t2120 () (= @t1315 @t2119)) % 1.11/1.38 (define @t2121 () (not @t2120)) % 1.11/1.38 (define @t2122 () (tptp.in @t4 @t2119)) % 1.11/1.38 (define @t2123 () (not @t2122)) % 1.11/1.38 (define @t2124 () (or @t2123 @t2121)) % 1.11/1.38 (define @t2125 () (_ @t143 @t2115)) % 1.11/1.38 (define @t2126 () (lambda @t2117 @t2125)) % 1.11/1.38 (define @t2127 () (_ @t155 @t2126)) % 1.11/1.38 (define @t2128 () (= @t1315 @t2127)) % 1.11/1.38 (define @t2129 () (not @t2128)) % 1.11/1.38 (define @t2130 () (tptp.in @t4 @t2127)) % 1.11/1.38 (define @t2131 () (not @t2130)) % 1.11/1.38 (define @t2132 () (or @t2131 @t2129)) % 1.11/1.38 (define @t2133 () (not (= @t2127 @t1315))) % 1.11/1.38 (define @t2134 () (or @t2131 @t2133)) % 1.11/1.38 (define @t2135 () (= @t304 @t1315)) % 1.11/1.38 (define @t2136 () (not @t2135)) % 1.11/1.38 (define @t2137 () (tptp.in @t4 @t304)) % 1.11/1.38 (define @t2138 () (not @t2137)) % 1.11/1.38 (define @t2139 () (or @t2138 @t2136)) % 1.11/1.38 (define @t2140 () (forall @t9 @t2139)) % 1.11/1.38 (define @t2141 () (not @t2140)) % 1.11/1.38 (define @t2142 () (forall @t9 (or @t1177 (not (= @t2 @t1315))))) % 1.11/1.38 (define @t2143 () (not @t2142)) % 1.11/1.38 (define @t2144 () (lambda @t64 @t2143)) % 1.11/1.38 (define @t2145 () (_ @t2144 @t304)) % 1.11/1.38 (define @t2146 () (not @t1152)) % 1.11/1.38 (define @t2147 () (or @t197 @t2146)) % 1.11/1.38 (define @t2148 () (forall @t9 (not @t1153))) % 1.11/1.38 (define @t2149 () (not @t2148)) % 1.11/1.38 (define @t2150 () (=> tptp.ex1E2 @t1185)) % 1.11/1.38 (define @t2151 () (or @t1207 @t1201 @t1200)) % 1.11/1.38 (define @t2152 () (or @t1209 @t2151)) % 1.11/1.38 (define @t2153 () (forall @t1211 @t2152)) % 1.11/1.38 (define @t2154 () (@list @t1199 @t1198)) % 1.11/1.38 (define @t2155 () (forall @t2154 @t2152)) % 1.11/1.38 (define @t2156 () (forall @t2154 @t2151)) % 1.11/1.38 (define @t2157 () (@var "BOUND_VARIABLE_12614" $$unsorted)) % 1.11/1.38 (define @t2158 () (or @t1209 @t2156)) % 1.11/1.38 (define @t2159 () (_ @t143 @t2157)) % 1.11/1.38 (define @t2160 () (not (tptp.in @t2157 @t925))) % 1.11/1.38 (define @t2161 () (_ @t143 @t1203)) % 1.11/1.38 (define @t2162 () (or @t1177 @t1205 @t1204 @t2161)) % 1.11/1.38 (define @t2163 () (forall @t1206 @t2162)) % 1.11/1.38 (define @t2164 () (not @t2163)) % 1.11/1.38 (define @t2165 () (or @t2164 @t2160 @t2159)) % 1.11/1.38 (define @t2166 () (@list @t143 @t2157)) % 1.11/1.38 (define @t2167 () (forall @t2166 @t2165)) % 1.11/1.38 (define @t2168 () (_ tptp.subset @t925)) % 1.11/1.38 (define @t2169 () (_ @t2168 @t672)) % 1.11/1.38 (define @t2170 () (not @t2169)) % 1.11/1.38 (define @t2171 () (or @t2170 @t2167)) % 1.11/1.38 (define @t2172 () (or @t2160 @t2159)) % 1.11/1.38 (define @t2173 () (or @t2164 @t2172)) % 1.11/1.38 (define @t2174 () (forall @t2166 @t2173)) % 1.11/1.38 (define @t2175 () (@list @t2157)) % 1.11/1.38 (define @t2176 () (forall @t2175 @t2173)) % 1.11/1.38 (define @t2177 () (forall @t2175 @t2172)) % 1.11/1.38 (define @t2178 () (or @t2164 @t2177)) % 1.11/1.38 (define @t2179 () (tptp.in @t4 @t925)) % 1.11/1.38 (define @t2180 () (forall @t9 (or (not @t2179) @t1378))) % 1.11/1.38 (define @t2181 () (not @t926)) % 1.11/1.38 (define @t2182 () (or @t2181 @t144)) % 1.11/1.38 (define @t2183 () (or @t1205 @t1204 @t2161)) % 1.11/1.38 (define @t2184 () (or @t1177 @t2183)) % 1.11/1.38 (define @t2185 () (forall @t1206 @t2184)) % 1.11/1.38 (define @t2186 () (@list @t1202)) % 1.11/1.38 (define @t2187 () (forall @t2186 @t2184)) % 1.11/1.38 (define @t2188 () (forall @t2186 @t2183)) % 1.11/1.38 (define @t2189 () (or @t1177 @t2188)) % 1.11/1.38 (define @t2190 () (_ @t143 @t1169)) % 1.11/1.38 (define @t2191 () (tptp.in @t1169 @t925)) % 1.11/1.38 (define @t2192 () (not @t1265)) % 1.11/1.38 (define @t2193 () (forall @t70 (or @t2192 (not @t2191) @t2190))) % 1.11/1.38 (define @t2194 () (or @t197 @t2193)) % 1.11/1.38 (define @t2195 () (_ tptp.in @t1169)) % 1.11/1.38 (define @t2196 () (not @t929)) % 1.11/1.38 (define @t2197 () (not @t352)) % 1.11/1.38 (define @t2198 () (or @t2197 @t2196 @t928)) % 1.11/1.38 (define @t2199 () (lambda @t118 @t1157)) % 1.11/1.38 (define @t2200 () (lambda (@list @t1 @t104) @t1157)) % 1.11/1.38 (define @t2201 () (_ @t1158 @t2)) % 1.11/1.38 (define @t2202 () (_ @t2201 @t1)) % 1.11/1.38 (define @t2203 () (_ @t2202 @t925)) % 1.11/1.38 (define @t2204 () (=> @t2203 @t935)) % 1.11/1.38 (define @t2205 () (forall @t938 @t2204)) % 1.11/1.38 (define @t2206 () (=> tptp.brelnall2 @t2150)) % 1.11/1.38 (define @t2207 () (=> tptp.brelnall1 @t2206)) % 1.11/1.38 (define @t2208 () (= @t19 @t908)) % 1.11/1.38 (define @t2209 () (lambda @t135 @t2208)) % 1.11/1.38 (define @t2210 () (_ @t841 @t2209)) % 1.11/1.38 (define @t2211 () (_ (_ tptp.in @t2210) @t895)) % 1.11/1.38 (define @t2212 () (or @t1221 @t2211)) % 1.11/1.38 (define @t2213 () (_ @t917 @t4)) % 1.11/1.38 (define @t2214 () (= @t19 @t2213)) % 1.11/1.38 (define @t2215 () (lambda @t135 @t2214)) % 1.11/1.38 (define @t2216 () (lambda (@list @t907) @t2210)) % 1.11/1.38 (define @t2217 () (lambda (@list @t1 @t907) @t2210)) % 1.11/1.38 (define @t2218 () (_ (lambda @t914 @t2210) @t2)) % 1.11/1.38 (define @t2219 () (or @t197 @t911)) % 1.11/1.38 (define @t2220 () (_ (_ @t2218 @t1) @t917)) % 1.11/1.38 (define @t2221 () (=> @t912 (_ (_ tptp.in @t2220) @t895))) % 1.11/1.38 (define @t2222 () (forall @t914 @t2221)) % 1.11/1.38 (define @t2223 () (=> tptp.lam2p @t2207)) % 1.11/1.38 (define @t2224 () (@list @t1227)) % 1.11/1.38 (define @t2225 () (forall @t2224 @t1232)) % 1.11/1.38 (define @t2226 () (forall @t2224 @t1229)) % 1.11/1.38 (define @t2227 () (forall @t2224 @t1230)) % 1.11/1.38 (define @t2228 () (and @t2227 @t2226)) % 1.11/1.38 (define @t2229 () (forall @t2224 @t1231)) % 1.11/1.38 (define @t2230 () (or @t1221 @t2229)) % 1.11/1.38 (define @t2231 () (tptp.dsetconstr @t1 (lambda @t70 (tptp.in @t1169 @t1226)))) % 1.11/1.38 (define @t2232 () (forall @t9 (or @t1177 (not (forall @t1175 (or (not (tptp.in @t1173 @t2231)) (not (= @t1174 @t2231)))))))) % 1.11/1.38 (define @t2233 () (_ (_ tptp.subset @t2210) @t672)) % 1.11/1.38 (define @t2234 () (and @t2233 @t2232)) % 1.11/1.38 (define @t2235 () (or @t1221 @t2234)) % 1.11/1.38 (define @t2236 () (lambda @t1225 (= @t1223 @t1224))) % 1.11/1.38 (define @t2237 () (tptp.dpsetconstr @t2 @t1 @t2236)) % 1.11/1.38 (define @t2238 () (tptp.in @t1169 @t2237)) % 1.11/1.38 (define @t2239 () (lambda @t70 @t2238)) % 1.11/1.38 (define @t2240 () (tptp.dsetconstr @t1 @t2239)) % 1.11/1.38 (define @t2241 () (= @t1174 @t2240)) % 1.11/1.38 (define @t2242 () (not @t2241)) % 1.11/1.38 (define @t2243 () (tptp.in @t1173 @t2240)) % 1.11/1.38 (define @t2244 () (not @t2243)) % 1.11/1.38 (define @t2245 () (or @t2244 @t2242)) % 1.11/1.38 (define @t2246 () (forall @t1175 @t2245)) % 1.11/1.38 (define @t2247 () (not @t2246)) % 1.11/1.38 (define @t2248 () (or @t1177 @t2247)) % 1.11/1.38 (define @t2249 () (= @t1214 @t1224)) % 1.11/1.38 (define @t2250 () (@list @t4 @t1224)) % 1.11/1.38 (define @t2251 () (lambda @t2250 @t2249)) % 1.11/1.38 (define @t2252 () (tptp.dpsetconstr @t2 @t1 @t2251)) % 1.11/1.38 (define @t2253 () (tptp.in @t1169 @t2252)) % 1.11/1.38 (define @t2254 () (lambda @t70 @t2253)) % 1.11/1.38 (define @t2255 () (tptp.dsetconstr @t1 @t2254)) % 1.11/1.38 (define @t2256 () (= @t1174 @t2255)) % 1.11/1.38 (define @t2257 () (not @t2256)) % 1.11/1.38 (define @t2258 () (tptp.in @t1173 @t2255)) % 1.11/1.38 (define @t2259 () (not @t2258)) % 1.11/1.38 (define @t2260 () (or @t2259 @t2257)) % 1.11/1.38 (define @t2261 () (forall @t1175 @t2260)) % 1.11/1.38 (define @t2262 () (not @t2261)) % 1.11/1.38 (define @t2263 () (or @t1177 @t2262)) % 1.11/1.38 (define @t2264 () (= @t908 @t1224)) % 1.11/1.38 (define @t2265 () (lambda @t2250 @t2264)) % 1.11/1.38 (define @t2266 () (_ @t841 @t2265)) % 1.11/1.38 (define @t2267 () (tptp.in @t1169 @t2266)) % 1.11/1.38 (define @t2268 () (lambda @t70 @t2267)) % 1.11/1.38 (define @t2269 () (tptp.dsetconstr @t1 @t2268)) % 1.11/1.38 (define @t2270 () (= @t1174 @t2269)) % 1.11/1.38 (define @t2271 () (not @t2270)) % 1.11/1.38 (define @t2272 () (tptp.in @t1173 @t2269)) % 1.11/1.38 (define @t2273 () (not @t2272)) % 1.11/1.38 (define @t2274 () (or @t2273 @t2271)) % 1.11/1.38 (define @t2275 () (lambda @t2250 (= @t1224 @t908))) % 1.11/1.38 (define @t2276 () (tptp.in @t1169 (_ @t841 @t2275))) % 1.11/1.38 (define @t2277 () (lambda @t70 @t2276)) % 1.11/1.38 (define @t2278 () (lambda @t70 (tptp.in @t1169 @t2210))) % 1.11/1.38 (define @t2279 () (tptp.dsetconstr @t1 @t2278)) % 1.11/1.38 (define @t2280 () (= @t1174 @t2279)) % 1.11/1.38 (define @t2281 () (not @t2280)) % 1.11/1.38 (define @t2282 () (tptp.in @t1173 @t2279)) % 1.11/1.38 (define @t2283 () (not @t2282)) % 1.11/1.38 (define @t2284 () (or @t2283 @t2281)) % 1.11/1.38 (define @t2285 () (forall @t1175 @t2284)) % 1.11/1.38 (define @t2286 () (not @t2285)) % 1.11/1.38 (define @t2287 () (or @t1177 @t2286)) % 1.11/1.38 (define @t2288 () (forall @t9 @t2287)) % 1.11/1.38 (define @t2289 () (and @t2233 @t2288)) % 1.11/1.38 (define @t2290 () (tptp.dsetconstr @t1 (lambda @t70 @t2191))) % 1.11/1.38 (define @t2291 () (not (forall @t1175 (or (not (tptp.in @t1173 @t2290)) (not (= @t1174 @t2290)))))) % 1.11/1.38 (define @t2292 () (and @t2169 (forall @t9 (or @t1177 @t2291)))) % 1.11/1.38 (define @t2293 () (lambda (@list @t925) @t2292)) % 1.11/1.38 (define @t2294 () (lambda (@list @t1 @t925) @t2292)) % 1.11/1.38 (define @t2295 () (_ (lambda @t938 @t2292) @t2)) % 1.11/1.38 (define @t2296 () (_ @t2295 @t1)) % 1.11/1.38 (define @t2297 () (=> @t912 (_ @t2296 @t2220))) % 1.11/1.38 (define @t2298 () (forall @t914 @t2297)) % 1.11/1.38 (define @t2299 () (or @t197 @t2291)) % 1.11/1.38 (define @t2300 () (tptp.dsetconstr @t1 @t1159)) % 1.11/1.38 (define @t2301 () (= @t1174 @t2300)) % 1.11/1.38 (define @t2302 () (not @t2301)) % 1.11/1.38 (define @t2303 () (tptp.in @t1173 @t2300)) % 1.11/1.38 (define @t2304 () (not @t2303)) % 1.11/1.38 (define @t2305 () (or @t2304 @t2302)) % 1.11/1.38 (define @t2306 () (not (= @t2300 @t1174))) % 1.11/1.38 (define @t2307 () (or @t2304 @t2306)) % 1.11/1.38 (define @t2308 () (forall @t1175 @t2307)) % 1.11/1.38 (define @t2309 () (not @t2308)) % 1.11/1.38 (define @t2310 () (tptp.dsetconstr @t1 @t143)) % 1.11/1.38 (define @t2311 () (not (tptp.in @t1173 @t2310))) % 1.11/1.38 (define @t2312 () (not (= @t1174 @t2310))) % 1.11/1.38 (define @t2313 () (or @t2311 @t2312)) % 1.11/1.38 (define @t2314 () (forall @t1175 @t2313)) % 1.11/1.38 (define @t2315 () (not @t2314)) % 1.11/1.38 (define @t2316 () (forall @t9 (or (not (tptp.in @t4 @t2310)) (not (= @t1315 @t2310))))) % 1.11/1.38 (define @t2317 () (not @t2316)) % 1.11/1.38 (define @t2318 () (lambda @t150 @t2317)) % 1.11/1.38 (define @t2319 () (_ @t2110 @t1)) % 1.11/1.38 (define @t2320 () (=> @t7 (_ @t2319 @t1159))) % 1.11/1.38 (define @t2321 () (forall @t9 @t2320)) % 1.11/1.38 (define @t2322 () (=> tptp.lamp @t2223)) % 1.11/1.38 (define @t2323 () (=> @t912 (_ @t2296 @t910))) % 1.11/1.38 (define @t2324 () (forall @t914 @t2323)) % 1.11/1.38 (define @t2325 () (=> tptp.lamProp @t2322)) % 1.11/1.38 (define @t2326 () (_ tptp.subset @t871)) % 1.11/1.38 (define @t2327 () (_ @t2326 @t672)) % 1.11/1.38 (define @t2328 () (not @t2327)) % 1.11/1.38 (define @t2329 () (or @t2328 @t1179 @t897)) % 1.11/1.38 (define @t2330 () (or @t2328 @t1179)) % 1.11/1.38 (define @t2331 () (and @t2327 @t1178)) % 1.11/1.38 (define @t2332 () (not @t2331)) % 1.11/1.38 (define @t2333 () (_ @t2296 @t871)) % 1.11/1.38 (define @t2334 () (=> @t2333 @t897)) % 1.11/1.38 (define @t2335 () (forall @t880 @t2334)) % 1.11/1.38 (define @t2336 () (=> tptp.funcinfuncset @t2325)) % 1.11/1.38 (define @t2337 () (or @t1237 @t1236)) % 1.11/1.38 (define @t2338 () (or @t1238 @t2337)) % 1.11/1.38 (define @t2339 () (forall @t1240 @t2338)) % 1.11/1.38 (define @t2340 () (@list @t1235)) % 1.11/1.38 (define @t2341 () (forall @t2340 @t2338)) % 1.11/1.38 (define @t2342 () (forall @t2340 @t2337)) % 1.11/1.38 (define @t2343 () (or @t1238 @t2342)) % 1.11/1.38 (define @t2344 () (tptp.setunion @t1172)) % 1.11/1.38 (define @t2345 () (tptp.in @t2344 @t1)) % 1.11/1.38 (define @t2346 () (forall @t9 (or @t1177 @t2345))) % 1.11/1.38 (define @t2347 () (not @t897)) % 1.11/1.38 (define @t2348 () (or @t2347 @t2346)) % 1.11/1.38 (define @t2349 () (or @t197 @t884)) % 1.11/1.38 (define @t2350 () (lambda @t9 @t883)) % 1.11/1.38 (define @t2351 () (lambda (@list @t871 @t4) @t883)) % 1.11/1.38 (define @t2352 () (lambda (@list @t1 @t871 @t4) @t883)) % 1.11/1.38 (define @t2353 () (_ @t1164 @t2)) % 1.11/1.38 (define @t2354 () (_ (_ (_ @t2353 @t1) @t871) @t4)) % 1.11/1.38 (define @t2355 () (=> @t7 (_ (_ tptp.in @t2354) @t1))) % 1.11/1.38 (define @t2356 () (forall @t9 @t2355)) % 1.11/1.38 (define @t2357 () (=> @t897 @t2356)) % 1.11/1.38 (define @t2358 () (forall @t880 @t2357)) % 1.11/1.38 (define @t2359 () (=> tptp.ap2p @t2336)) % 1.11/1.38 (define @t2360 () (@list @t1241)) % 1.11/1.38 (define @t2361 () (forall @t2360 @t1245)) % 1.11/1.38 (define @t2362 () (forall @t2360 @t1243)) % 1.11/1.38 (define @t2363 () (forall @t2360 @t1181)) % 1.11/1.38 (define @t2364 () (and @t2363 @t2362)) % 1.11/1.38 (define @t2365 () (forall @t2360 @t1244)) % 1.11/1.38 (define @t2366 () (or @t1238 @t2365)) % 1.11/1.38 (define @t2367 () (or @t2347 @t2331)) % 1.11/1.38 (define @t2368 () (=> @t897 @t2333)) % 1.11/1.38 (define @t2369 () (forall @t880 @t2368)) % 1.11/1.38 (define @t2370 () (=> tptp.infuncsetfunc @t2359)) % 1.11/1.38 (define @t2371 () (or @t1249 @t1248)) % 1.11/1.38 (define @t2372 () (or @t1182 @t1179 @t2371)) % 1.11/1.38 (define @t2373 () (forall @t1251 @t2372)) % 1.11/1.38 (define @t2374 () (@list @t1247)) % 1.11/1.38 (define @t2375 () (forall @t2374 @t2372)) % 1.11/1.38 (define @t2376 () (forall @t2374 @t2371)) % 1.11/1.38 (define @t2377 () (or @t1182 @t1179 @t2376)) % 1.11/1.38 (define @t2378 () (or @t2328 @t1179 @t2346)) % 1.11/1.38 (define @t2379 () (=> @t2333 @t2356)) % 1.11/1.38 (define @t2380 () (forall @t880 @t2379)) % 1.11/1.38 (define @t2381 () (=> tptp.app @t2370)) % 1.11/1.38 (define @t2382 () (=> @t2333 @t885)) % 1.11/1.38 (define @t2383 () (forall @t880 @t2382)) % 1.11/1.38 (define @t2384 () (=> tptp.apProp @t2381)) % 1.11/1.38 (define @t2385 () (not (= @t1254 @t1256))) % 1.11/1.38 (define @t2386 () (or @t1257 @t2385)) % 1.11/1.38 (define @t2387 () (forall @t1258 @t2386)) % 1.11/1.38 (define @t2388 () (not @t2387)) % 1.11/1.38 (define @t2389 () (or @t1182 @t1179 @t1259 @t2388)) % 1.11/1.38 (define @t2390 () (or @t1259 @t2388)) % 1.11/1.38 (define @t2391 () (or @t1182 @t1179 @t2390)) % 1.11/1.38 (define @t2392 () (forall @t1260 @t2391)) % 1.11/1.38 (define @t2393 () (@list @t1253)) % 1.11/1.38 (define @t2394 () (forall @t2393 @t2391)) % 1.11/1.38 (define @t2395 () (forall @t2393 @t2390)) % 1.11/1.38 (define @t2396 () (or @t1182 @t1179 @t2395)) % 1.11/1.38 (define @t2397 () (not (forall @t1258 (or (not (tptp.in @t1255 @t1172)) (not (= @t1172 @t1256)))))) % 1.11/1.38 (define @t2398 () (forall @t9 (or @t1177 @t2397))) % 1.11/1.38 (define @t2399 () (or @t2328 @t1179 @t2398)) % 1.11/1.38 (define @t2400 () (or @t197 @t2397)) % 1.11/1.38 (define @t2401 () (= @t874 @t1256)) % 1.11/1.38 (define @t2402 () (not @t2401)) % 1.11/1.38 (define @t2403 () (tptp.in @t1255 @t874)) % 1.11/1.38 (define @t2404 () (not @t2403)) % 1.11/1.38 (define @t2405 () (or @t2404 @t2402)) % 1.11/1.38 (define @t2406 () (forall @t1258 @t2405)) % 1.11/1.38 (define @t2407 () (not @t2406)) % 1.11/1.38 (define @t2408 () (=> @t7 (_ @t2144 @t874))) % 1.11/1.38 (define @t2409 () (forall @t9 @t2408)) % 1.11/1.38 (define @t2410 () (=> @t2333 @t2409)) % 1.11/1.38 (define @t2411 () (forall @t880 @t2410)) % 1.11/1.38 (define @t2412 () (=> tptp.funcImageSingleton @t2384)) % 1.11/1.38 (define @t2413 () (_ @t67 @t289 @t381)) % 1.11/1.38 (define @t2414 () (lambda @t386 @t2413)) % 1.11/1.38 (define @t2415 () (tptp.dpsetconstr @t2 @t1 @t2414)) % 1.11/1.38 (define @t2416 () (tptp.in @t1169 @t2415)) % 1.11/1.38 (define @t2417 () (not @t2416)) % 1.11/1.38 (define @t2418 () (or @t2417 @t1261)) % 1.11/1.38 (define @t2419 () (not @t843)) % 1.11/1.38 (define @t2420 () (or @t2419 @t76)) % 1.11/1.38 (define @t2421 () (=> tptp.dpsetconstrER @t2412)) % 1.11/1.38 (define @t2422 () (or @t2417 @t1265)) % 1.11/1.38 (define @t2423 () (or @t2419 @t352)) % 1.11/1.38 (define @t2424 () (=> tptp.dpsetconstrEL2 @t2421)) % 1.11/1.38 (define @t2425 () (or @t2417 @t1176)) % 1.11/1.38 (define @t2426 () (or @t2419 @t7)) % 1.11/1.38 (define @t2427 () (=> tptp.dpsetconstrEL1 @t2424)) % 1.11/1.38 (define @t2428 () (or @t1269 @t1268 @t1267)) % 1.11/1.38 (define @t2429 () (or @t1177 @t2428)) % 1.11/1.38 (define @t2430 () (forall @t1271 @t2429)) % 1.11/1.38 (define @t2431 () (@list @t1266)) % 1.11/1.38 (define @t2432 () (forall @t2431 @t2429)) % 1.11/1.38 (define @t2433 () (forall @t2431 @t2428)) % 1.11/1.38 (define @t2434 () (or @t1177 @t2433)) % 1.11/1.38 (define @t2435 () (forall @t70 (or @t2192 @t1264 @t1261))) % 1.11/1.38 (define @t2436 () (or @t197 @t2435)) % 1.11/1.38 (define @t2437 () (or @t2192 @t2417 @t1261)) % 1.11/1.38 (define @t2438 () (or @t2197 @t2419 @t76)) % 1.11/1.38 (define @t2439 () (=> tptp.dpsetconstrERa @t2427)) % 1.11/1.38 (define @t2440 () (lambda @t135 @t1261)) % 1.11/1.38 (define @t2441 () (tptp.dpsetconstr @t2 @t1 @t2440)) % 1.11/1.38 (define @t2442 () (tptp.subset @t2441 @t1180)) % 1.11/1.38 (define @t2443 () (forall @t853 (_ @t2202 @t851))) % 1.11/1.38 (define @t2444 () (=> tptp.setOfPairsIsBReln @t2439)) % 1.11/1.38 (define @t2445 () (=> tptp.dpsetconstrSub @t2444)) % 1.11/1.38 (define @t2446 () (or @t1276 @t1275 @t1274)) % 1.11/1.38 (define @t2447 () (or @t1177 @t2446)) % 1.11/1.38 (define @t2448 () (forall @t1278 @t2447)) % 1.11/1.38 (define @t2449 () (@list @t1273)) % 1.11/1.38 (define @t2450 () (forall @t2449 @t2447)) % 1.11/1.38 (define @t2451 () (forall @t2449 @t2446)) % 1.11/1.38 (define @t2452 () (or @t1177 @t2451)) % 1.11/1.38 (define @t2453 () (forall @t70 (or @t2192 @t1842 @t1263))) % 1.11/1.38 (define @t2454 () (or @t197 @t2453)) % 1.11/1.38 (define @t2455 () (or @t2192 @t1842 @t2416)) % 1.11/1.38 (define @t2456 () (not @t76)) % 1.11/1.38 (define @t2457 () (or @t2197 @t2456 @t843)) % 1.11/1.38 (define @t2458 () (=> tptp.dpsetconstrI @t2445)) % 1.11/1.38 (define @t2459 () (_ tptp.kpair @t1280)) % 1.11/1.38 (define @t2460 () (= @t381 @t808)) % 1.11/1.38 (define @t2461 () (not @t684)) % 1.11/1.38 (define @t2462 () (or @t2461 @t2460)) % 1.11/1.38 (define @t2463 () (=> tptp.cartprodpairsurjEq @t2458)) % 1.11/1.38 (define @t2464 () (or @t1287 @t1286)) % 1.11/1.38 (define @t2465 () (or @t1177 @t2464)) % 1.11/1.38 (define @t2466 () (forall @t1289 @t2465)) % 1.11/1.38 (define @t2467 () (@list @t1285)) % 1.11/1.38 (define @t2468 () (forall @t2467 @t2465)) % 1.11/1.38 (define @t2469 () (forall @t2467 @t2464)) % 1.11/1.38 (define @t2470 () (or @t1177 @t2469)) % 1.11/1.38 (define @t2471 () (forall @t70 (or @t2192 @t1306))) % 1.11/1.38 (define @t2472 () (or @t197 @t2471)) % 1.11/1.38 (define @t2473 () (= @t19 @t803)) % 1.11/1.38 (define @t2474 () (or @t2197 @t2473)) % 1.11/1.38 (define @t2475 () (=> tptp.cartprodsndpairEq @t2463)) % 1.11/1.38 (define @t2476 () (or @t1292 @t1291)) % 1.11/1.38 (define @t2477 () (or @t1177 @t2476)) % 1.11/1.38 (define @t2478 () (forall @t1294 @t2477)) % 1.11/1.38 (define @t2479 () (@list @t1290)) % 1.11/1.38 (define @t2480 () (forall @t2479 @t2477)) % 1.11/1.38 (define @t2481 () (forall @t2479 @t2476)) % 1.11/1.38 (define @t2482 () (or @t1177 @t2481)) % 1.11/1.38 (define @t2483 () (forall @t70 (or @t2192 @t1347))) % 1.11/1.38 (define @t2484 () (or @t197 @t2483)) % 1.11/1.38 (define @t2485 () (= @t4 @t759)) % 1.11/1.38 (define @t2486 () (or @t2197 @t2485)) % 1.11/1.38 (define @t2487 () (=> tptp.cartprodfstpairEq @t2475)) % 1.11/1.38 (define @t2488 () (=> tptp.cartprodmempaircEq @t2487)) % 1.11/1.38 (define @t2489 () (not @t673)) % 1.11/1.38 (define @t2490 () (or @t2489 @t352)) % 1.11/1.38 (define @t2491 () (=> tptp.cartprodpairmemER @t2488)) % 1.11/1.38 (define @t2492 () (or @t2489 @t7)) % 1.11/1.38 (define @t2493 () (=> tptp.cartprodpairmemEL @t2491)) % 1.11/1.38 (define @t2494 () (or @t2461 @t813)) % 1.11/1.38 (define @t2495 () (=> tptp.cartprodsndin @t2493)) % 1.11/1.38 (define @t2496 () (not @t689)) % 1.11/1.38 (define @t2497 () (or @t2496 @t2460)) % 1.11/1.38 (define @t2498 () (=> tptp.kpairsurjEq @t2495)) % 1.11/1.38 (define @t2499 () (=> tptp.ksndpairEq @t2498)) % 1.11/1.38 (define @t2500 () (or @t2496 @t1316)) % 1.11/1.38 (define @t2501 () (_ @t797 @t1308)) % 1.11/1.38 (define @t2502 () (= @t381 @t2501)) % 1.11/1.38 (define @t2503 () (lambda @t1311 @t2502)) % 1.11/1.38 (define @t2504 () (_ tptp.dsetconstr @t1313)) % 1.11/1.38 (define @t2505 () (_ @t748 @t2503)) % 1.11/1.38 (define @t2506 () (= @t1315 @t2505)) % 1.11/1.38 (define @t2507 () (not @t2506)) % 1.11/1.38 (define @t2508 () (tptp.in @t4 @t2505)) % 1.11/1.38 (define @t2509 () (not @t2508)) % 1.11/1.38 (define @t2510 () (or @t2509 @t2507)) % 1.11/1.38 (define @t2511 () (= @t1315 @t799)) % 1.11/1.38 (define @t2512 () (not @t2511)) % 1.11/1.38 (define @t2513 () (tptp.in @t4 @t799)) % 1.11/1.38 (define @t2514 () (not @t2513)) % 1.11/1.38 (define @t2515 () (or @t2514 @t2512)) % 1.11/1.38 (define @t2516 () (not (= @t799 @t1315))) % 1.11/1.38 (define @t2517 () (or @t2514 @t2516)) % 1.11/1.38 (define @t2518 () (forall @t9 @t2517)) % 1.11/1.38 (define @t2519 () (not @t2518)) % 1.11/1.38 (define @t2520 () (_ @t2144 @t799)) % 1.11/1.38 (define @t2521 () (=> @t689 @t2520)) % 1.11/1.38 (define @t2522 () (forall @t751 @t2521)) % 1.11/1.38 (define @t2523 () (=> tptp.ksndsingleton @t2499)) % 1.11/1.38 (define @t2524 () (not @t776)) % 1.11/1.38 (define @t2525 () (or @t2524 @t786)) % 1.11/1.38 (define @t2526 () (=> tptp.setukpairinjR @t2523)) % 1.11/1.38 (define @t2527 () (_ tptp.setadjoin @t1315)) % 1.11/1.38 (define @t2528 () (not @t771)) % 1.11/1.38 (define @t2529 () (or @t2528 @t786)) % 1.11/1.38 (define @t2530 () (=> tptp.setukpairinjR2 @t2526)) % 1.11/1.38 (define @t2531 () (not @t790)) % 1.11/1.38 (define @t2532 () (or @t2531 @t129)) % 1.11/1.38 (define @t2533 () (=> tptp.upairequniteq @t2530)) % 1.11/1.38 (define @t2534 () (not true)) % 1.11/1.38 (define @t2535 () (not (= @t381 @t381))) % 1.11/1.38 (define @t2536 () (or @t1333 @t2535 @t786)) % 1.11/1.38 (define @t2537 () (not @t385)) % 1.11/1.38 (define @t2538 () (or @t2537 @t1330 @t2537 @t786)) % 1.11/1.38 (define @t2539 () (@list @t289)) % 1.11/1.38 (define @t2540 () (or @t1330 @t2537 @t786)) % 1.11/1.38 (define @t2541 () (forall @t2539 @t2540)) % 1.11/1.38 (define @t2542 () (forall @t1335 @t2541)) % 1.11/1.38 (define @t2543 () (forall (@list @t4 @t19 @t381 @t289) @t2540)) % 1.11/1.38 (define @t2544 () (or @t2528 @t2537 @t786)) % 1.11/1.38 (define @t2545 () (=> tptp.setukpairinjR1 @t2533)) % 1.11/1.38 (define @t2546 () (not (= @t19 @t19))) % 1.11/1.38 (define @t2547 () (or @t2546 @t1338)) % 1.11/1.38 (define @t2548 () (tptp.setadjoin @t1315 tptp.emptyset)) % 1.11/1.38 (define @t2549 () (= @t1329 @t2548)) % 1.11/1.38 (define @t2550 () (or @t282 @t282 @t2549)) % 1.11/1.38 (define @t2551 () (or @t282 @t2549)) % 1.11/1.38 (define @t2552 () (forall @t9 @t2551)) % 1.11/1.38 (define @t2553 () (forall @t70 @t2552)) % 1.11/1.38 (define @t2554 () (@list @t19 @t4)) % 1.11/1.38 (define @t2555 () (forall @t2554 @t2551)) % 1.11/1.38 (define @t2556 () (or @t282 @t783)) % 1.11/1.38 (define @t2557 () (=> tptp.setukpairinjR12 @t2545)) % 1.11/1.38 (define @t2558 () (or @t2546 @t1340)) % 1.11/1.38 (define @t2559 () (= @t1315 @t1327)) % 1.11/1.38 (define @t2560 () (or @t282 @t282 @t2559)) % 1.11/1.38 (define @t2561 () (or @t282 @t2559)) % 1.11/1.38 (define @t2562 () (forall @t9 @t2561)) % 1.11/1.38 (define @t2563 () (forall @t70 @t2562)) % 1.11/1.38 (define @t2564 () (forall @t2554 @t2561)) % 1.11/1.38 (define @t2565 () (= @t279 @t291)) % 1.11/1.38 (define @t2566 () (or @t282 @t2565)) % 1.11/1.38 (define @t2567 () (=> tptp.setukpairinjR11 @t2557)) % 1.11/1.38 (define @t2568 () (or @t2524 @t740)) % 1.11/1.38 (define @t2569 () (=> tptp.setukpairinjL @t2567)) % 1.11/1.38 (define @t2570 () (or @t2528 @t740)) % 1.11/1.38 (define @t2571 () (=> tptp.setukpairinjL2 @t2569)) % 1.11/1.38 (define @t2572 () (or @t2461 @t764)) % 1.11/1.38 (define @t2573 () (=> tptp.cartprodfstin @t2571)) % 1.11/1.38 (define @t2574 () (=> tptp.kfstpairEq @t2573)) % 1.11/1.38 (define @t2575 () (not (= @t1350 @t1350))) % 1.11/1.38 (define @t2576 () (or @t1352 @t1351 @t2575)) % 1.11/1.38 (define @t2577 () (not (= @t692 @t1350))) % 1.11/1.38 (define @t2578 () (not (tptp.in @t1349 @t692))) % 1.11/1.38 (define @t2579 () (tptp.setunion @t692)) % 1.11/1.38 (define @t2580 () (tptp.in @t2579 @t692)) % 1.11/1.38 (define @t2581 () (or @t2577 @t2580 @t2578 @t2577)) % 1.11/1.38 (define @t2582 () (or @t2580 @t2578 @t2577)) % 1.11/1.38 (define @t2583 () (forall @t696 @t2582)) % 1.11/1.38 (define @t2584 () (forall @t1354 @t2583)) % 1.11/1.38 (define @t2585 () (forall (@list @t1349 @t692) @t2582)) % 1.11/1.38 (define @t2586 () (@list @t692 @t1349)) % 1.11/1.38 (define @t2587 () (or @t2578 @t2577)) % 1.11/1.38 (define @t2588 () (or @t2587 @t2580)) % 1.11/1.38 (define @t2589 () (forall @t2586 @t2588)) % 1.11/1.38 (define @t2590 () (forall @t1354 @t2588)) % 1.11/1.38 (define @t2591 () (forall @t1354 @t2587)) % 1.11/1.38 (define @t2592 () (or @t2591 @t2580)) % 1.11/1.38 (define @t2593 () (forall @t9 (or @t1415 (not (= @t692 @t1315))))) % 1.11/1.38 (define @t2594 () (or @t2593 @t755)) % 1.11/1.38 (define @t2595 () (not @t2593)) % 1.11/1.38 (define @t2596 () (_ @t2144 @t692)) % 1.11/1.38 (define @t2597 () (=> @t2596 @t755)) % 1.11/1.38 (define @t2598 () (forall @t696 @t2597)) % 1.11/1.38 (define @t2599 () (=> tptp.theprop @t2574)) % 1.11/1.38 (define @t2600 () (or @t2496 @t1362)) % 1.11/1.38 (define @t2601 () (_ (_ tptp.setadjoin @t1356) tptp.emptyset)) % 1.11/1.38 (define @t2602 () (_ (_ tptp.in @t2601) @t381)) % 1.11/1.38 (define @t2603 () (lambda @t1359 @t2602)) % 1.11/1.38 (define @t2604 () (_ @t748 @t2603)) % 1.11/1.38 (define @t2605 () (= @t1315 @t2604)) % 1.11/1.38 (define @t2606 () (not @t2605)) % 1.11/1.38 (define @t2607 () (tptp.in @t4 @t2604)) % 1.11/1.38 (define @t2608 () (not @t2607)) % 1.11/1.38 (define @t2609 () (or @t2608 @t2606)) % 1.11/1.38 (define @t2610 () (= @t1315 @t749)) % 1.11/1.38 (define @t2611 () (not @t2610)) % 1.11/1.38 (define @t2612 () (tptp.in @t4 @t749)) % 1.11/1.38 (define @t2613 () (not @t2612)) % 1.11/1.38 (define @t2614 () (or @t2613 @t2611)) % 1.11/1.38 (define @t2615 () (not (= @t749 @t1315))) % 1.11/1.38 (define @t2616 () (or @t2613 @t2615)) % 1.11/1.38 (define @t2617 () (forall @t9 @t2616)) % 1.11/1.38 (define @t2618 () (not @t2617)) % 1.11/1.38 (define @t2619 () (_ @t2144 @t749)) % 1.11/1.38 (define @t2620 () (=> @t689 @t2619)) % 1.11/1.38 (define @t2621 () (forall @t751 @t2620)) % 1.11/1.38 (define @t2622 () (=> tptp.kfstsingleton @t2599)) % 1.11/1.38 (define @t2623 () (not @t743)) % 1.11/1.38 (define @t2624 () (or @t2623 @t740)) % 1.11/1.38 (define @t2625 () (=> tptp.setukpairinjL1 @t2622)) % 1.11/1.38 (define @t2626 () (not (= @t1326 @t1315))) % 1.11/1.38 (define @t2627 () (or @t2626 @t129)) % 1.11/1.38 (define @t2628 () (= @t275 @t279)) % 1.11/1.38 (define @t2629 () (not @t2628)) % 1.11/1.38 (define @t2630 () (or @t2629 @t129)) % 1.11/1.38 (define @t2631 () (=> tptp.singletonsuniq @t2625)) % 1.11/1.38 (define @t2632 () (or @t1369 @t1368)) % 1.11/1.38 (define @t2633 () (or @t1383 @t2632 @t1373)) % 1.11/1.38 (define @t2634 () (forall @t1385 @t2633)) % 1.11/1.38 (define @t2635 () (@list @t1367)) % 1.11/1.38 (define @t2636 () (forall @t2635 @t2633)) % 1.11/1.38 (define @t2637 () (forall @t2635 @t2632)) % 1.11/1.38 (define @t2638 () (or @t1383 @t2637 @t1373)) % 1.11/1.38 (define @t2639 () (or @t1383 @t1402 @t1373)) % 1.11/1.38 (define @t2640 () (not @t1403)) % 1.11/1.38 (define @t2641 () (=> @t1403 @t1373)) % 1.11/1.38 (define @t2642 () (or @t197 @t315)) % 1.11/1.38 (define @t2643 () (forall @t9 (not @t306))) % 1.11/1.38 (define @t2644 () (not @t2643)) % 1.11/1.38 (define @t2645 () (=> @t307 @t2112)) % 1.11/1.38 (define @t2646 () (=> @t716 @t2645)) % 1.11/1.38 (define @t2647 () (forall @t309 @t2646)) % 1.11/1.38 (define @t2648 () (=> tptp.ex1I2 @t2631)) % 1.11/1.38 (define @t2649 () (or @t197 @t315 @t1397 @t1391)) % 1.11/1.38 (define @t2650 () (or @t315 @t1397 @t1391)) % 1.11/1.38 (define @t2651 () (=> @t1396 @t1391)) % 1.11/1.38 (define @t2652 () (=> @t144 @t2651)) % 1.11/1.38 (define @t2653 () (not (= @t1388 @t1195))) % 1.11/1.38 (define @t2654 () (or @t1389 @t2653)) % 1.11/1.38 (define @t2655 () (forall @t1390 @t2654)) % 1.11/1.38 (define @t2656 () (not @t2655)) % 1.11/1.38 (define @t2657 () (=> @t1396 @t2656)) % 1.11/1.38 (define @t2658 () (=> @t144 @t2657)) % 1.11/1.38 (define @t2659 () (=> @t7 @t2658)) % 1.11/1.38 (define @t2660 () (=> @t1396 @t1373)) % 1.11/1.38 (define @t2661 () (=> @t144 @t2660)) % 1.11/1.38 (define @t2662 () (=> @t7 @t2661)) % 1.11/1.38 (define @t2663 () (lambda @t70 @t1392)) % 1.11/1.38 (define @t2664 () (tptp.dsetconstr @t2 @t2663)) % 1.11/1.38 (define @t2665 () (= @t1315 @t2664)) % 1.11/1.38 (define @t2666 () (not @t2665)) % 1.11/1.38 (define @t2667 () (tptp.in @t4 @t2664)) % 1.11/1.38 (define @t2668 () (not @t2667)) % 1.11/1.38 (define @t2669 () (or @t2668 @t2666)) % 1.11/1.38 (define @t2670 () (tptp.dsetconstr @t2 @t154)) % 1.11/1.38 (define @t2671 () (= @t1315 @t2670)) % 1.11/1.38 (define @t2672 () (not @t2671)) % 1.11/1.38 (define @t2673 () (tptp.in @t4 @t2670)) % 1.11/1.38 (define @t2674 () (not @t2673)) % 1.11/1.38 (define @t2675 () (or @t2674 @t2672)) % 1.11/1.38 (define @t2676 () (forall @t9 @t2675)) % 1.11/1.38 (define @t2677 () (not @t2676)) % 1.11/1.38 (define @t2678 () (=> @t727 (_ @t2111 @t154))) % 1.11/1.38 (define @t2679 () (=> @t144 @t2678)) % 1.11/1.38 (define @t2680 () (=> @t7 @t2679)) % 1.11/1.38 (define @t2681 () (forall @t159 @t2680)) % 1.11/1.38 (define @t2682 () (=> tptp.ex1I @t2648)) % 1.11/1.38 (define @t2683 () (not (= @t1400 @t1195))) % 1.11/1.38 (define @t2684 () (or @t1403 @t1401 @t2683)) % 1.11/1.38 (define @t2685 () (or @t1401 @t2683)) % 1.11/1.38 (define @t2686 () (or @t2685 @t1403)) % 1.11/1.38 (define @t2687 () (forall @t1404 @t2686)) % 1.11/1.38 (define @t2688 () (@list @t1399)) % 1.11/1.38 (define @t2689 () (forall @t2688 @t2686)) % 1.11/1.38 (define @t2690 () (forall @t2688 @t2685)) % 1.11/1.38 (define @t2691 () (or @t2690 @t1403)) % 1.11/1.38 (define @t2692 () (=> @t2112 @t307)) % 1.11/1.38 (define @t2693 () (forall @t309 @t2692)) % 1.11/1.38 (define @t2694 () (=> tptp.ex1E1 @t2682)) % 1.11/1.38 (define @t2695 () (=> @t307 @t2145)) % 1.11/1.38 (define @t2696 () (=> @t716 @t2695)) % 1.11/1.38 (define @t2697 () (forall @t309 @t2696)) % 1.11/1.38 (define @t2698 () (=> tptp.singletonprop @t2694)) % 1.11/1.38 (define @t2699 () (= @t4 @t709)) % 1.11/1.38 (define @t2700 () (=> tptp.setunionsingleton @t2698)) % 1.11/1.38 (define @t2701 () (=> tptp.setunionsingleton2 @t2700)) % 1.11/1.38 (define @t2702 () (=> tptp.setunionsingleton1 @t2701)) % 1.11/1.38 (define @t2703 () (not @t44)) % 1.11/1.38 (define @t2704 () (or @t2703 @t1417)) % 1.11/1.38 (define @t2705 () (not @t693)) % 1.11/1.38 (define @t2706 () (not @t694)) % 1.11/1.38 (define @t2707 () (or @t2706 @t2705)) % 1.11/1.38 (define @t2708 () (forall @t696 (not @t695))) % 1.11/1.38 (define @t2709 () (not @t2708)) % 1.11/1.38 (define @t2710 () (=> tptp.setunionE2 @t2702)) % 1.11/1.38 (define @t2711 () (or @t2461 @t689)) % 1.11/1.38 (define @t2712 () (=> tptp.cartprodmempair @t2710)) % 1.11/1.38 (define @t2713 () (or @t2461 @t1428)) % 1.11/1.38 (define @t2714 () (or @t1425 @t1424)) % 1.11/1.38 (define @t2715 () (or @t1177 @t2714)) % 1.11/1.38 (define @t2716 () (forall @t1427 @t2715)) % 1.11/1.38 (define @t2717 () (@list @t1423)) % 1.11/1.38 (define @t2718 () (forall @t2717 @t2715)) % 1.11/1.38 (define @t2719 () (forall @t2717 @t2714)) % 1.11/1.38 (define @t2720 () (or @t1177 @t2719)) % 1.11/1.38 (define @t2721 () (forall @t70 (or @t2192 (not (= @t381 @t1169))))) % 1.11/1.38 (define @t2722 () (or @t197 @t2721)) % 1.11/1.38 (define @t2723 () (not @t2721)) % 1.11/1.38 (define @t2724 () (and @t7 @t2723)) % 1.11/1.38 (define @t2725 () (forall @t9 (not @t2724))) % 1.11/1.38 (define @t2726 () (not @t2725)) % 1.11/1.38 (define @t2727 () (not @t678)) % 1.11/1.38 (define @t2728 () (or @t2197 @t2727)) % 1.11/1.38 (define @t2729 () (forall @t70 (not @t679))) % 1.11/1.38 (define @t2730 () (not @t2729)) % 1.11/1.38 (define @t2731 () (=> tptp.cartprodmempair1 @t2712)) % 1.11/1.38 (define @t2732 () (or @t1432 @t1431)) % 1.11/1.38 (define @t2733 () (or @t1177 @t2732)) % 1.11/1.38 (define @t2734 () (forall @t1434 @t2733)) % 1.11/1.38 (define @t2735 () (@list @t1430)) % 1.11/1.38 (define @t2736 () (forall @t2735 @t2733)) % 1.11/1.38 (define @t2737 () (forall @t2735 @t2732)) % 1.11/1.38 (define @t2738 () (or @t1177 @t2737)) % 1.11/1.38 (define @t2739 () (forall @t70 (or @t2192 @t1296))) % 1.11/1.38 (define @t2740 () (or @t197 @t2739)) % 1.11/1.38 (define @t2741 () (or @t2197 @t673)) % 1.11/1.38 (define @t2742 () (=> tptp.cartprodpairin @t2731)) % 1.11/1.38 (define @t2743 () (or @t1441 @t1440)) % 1.11/1.38 (define @t2744 () (or @t1177 @t2743)) % 1.11/1.38 (define @t2745 () (forall @t1443 @t2744)) % 1.11/1.38 (define @t2746 () (@list @t1439)) % 1.11/1.38 (define @t2747 () (forall @t2746 @t2744)) % 1.11/1.38 (define @t2748 () (forall @t2746 @t2743)) % 1.11/1.38 (define @t2749 () (or @t1177 @t2748)) % 1.11/1.38 (define @t2750 () (tptp.in @t1169 @t1438)) % 1.11/1.38 (define @t2751 () (forall @t70 (or @t2192 @t2750))) % 1.11/1.38 (define @t2752 () (or @t197 @t2751)) % 1.11/1.38 (define @t2753 () (or @t2197 @t667)) % 1.11/1.38 (define @t2754 () (=> tptp.ubforcartprodlem3 @t2742)) % 1.11/1.38 (define @t2755 () (or @t1447 @t1446)) % 1.11/1.38 (define @t2756 () (or @t1177 @t2755)) % 1.11/1.38 (define @t2757 () (forall @t1449 @t2756)) % 1.11/1.38 (define @t2758 () (@list @t1445)) % 1.11/1.38 (define @t2759 () (forall @t2758 @t2756)) % 1.11/1.38 (define @t2760 () (forall @t2758 @t2755)) % 1.11/1.38 (define @t2761 () (or @t1177 @t2760)) % 1.11/1.38 (define @t2762 () (tptp.in @t1329 @t1438)) % 1.11/1.38 (define @t2763 () (forall @t70 (or @t2192 @t2762))) % 1.11/1.38 (define @t2764 () (or @t197 @t2763)) % 1.11/1.38 (define @t2765 () (or @t2197 @t661)) % 1.11/1.38 (define @t2766 () (=> tptp.ubforcartprodlem2 @t2754)) % 1.11/1.38 (define @t2767 () (or @t1453 @t1452)) % 1.11/1.38 (define @t2768 () (or @t1177 @t2767)) % 1.11/1.38 (define @t2769 () (forall @t1455 @t2768)) % 1.11/1.38 (define @t2770 () (@list @t1451)) % 1.11/1.38 (define @t2771 () (forall @t2770 @t2768)) % 1.11/1.38 (define @t2772 () (forall @t2770 @t2767)) % 1.11/1.38 (define @t2773 () (or @t1177 @t2772)) % 1.11/1.38 (define @t2774 () (tptp.subset @t1329 @t1437)) % 1.11/1.38 (define @t2775 () (forall @t70 (or @t2192 @t2774))) % 1.11/1.38 (define @t2776 () (or @t197 @t2775)) % 1.11/1.38 (define @t2777 () (or @t2197 @t655)) % 1.11/1.38 (define @t2778 () (=> tptp.ubforcartprodlem1 @t2766)) % 1.11/1.38 (define @t2779 () (or @t1459 @t1458)) % 1.11/1.38 (define @t2780 () (or @t1177 @t2779)) % 1.11/1.38 (define @t2781 () (forall @t1461 @t2780)) % 1.11/1.38 (define @t2782 () (@list @t1457)) % 1.11/1.38 (define @t2783 () (forall @t2782 @t2780)) % 1.11/1.38 (define @t2784 () (forall @t2782 @t2779)) % 1.11/1.38 (define @t2785 () (or @t1177 @t2784)) % 1.11/1.38 (define @t2786 () (tptp.in @t1327 @t1437)) % 1.11/1.38 (define @t2787 () (forall @t70 (or @t2192 @t2786))) % 1.11/1.38 (define @t2788 () (or @t197 @t2787)) % 1.11/1.38 (define @t2789 () (or @t2197 @t650)) % 1.11/1.38 (define @t2790 () (=> tptp.upairinpowunion @t2778)) % 1.11/1.38 (define @t2791 () (or @t1465 @t1464)) % 1.11/1.38 (define @t2792 () (or @t1177 @t2791)) % 1.11/1.38 (define @t2793 () (forall @t1467 @t2792)) % 1.11/1.38 (define @t2794 () (@list @t1463)) % 1.11/1.38 (define @t2795 () (forall @t2794 @t2792)) % 1.11/1.38 (define @t2796 () (forall @t2794 @t2791)) % 1.11/1.38 (define @t2797 () (or @t1177 @t2796)) % 1.11/1.38 (define @t2798 () (tptp.subset @t1327 @t1436)) % 1.11/1.38 (define @t2799 () (forall @t70 (or @t2192 @t2798))) % 1.11/1.38 (define @t2800 () (or @t197 @t2799)) % 1.11/1.38 (define @t2801 () (or @t2197 @t645)) % 1.11/1.38 (define @t2802 () (=> tptp.upairsubunion @t2790)) % 1.11/1.38 (define @t2803 () (not @t293)) % 1.11/1.38 (define @t2804 () (or @t2803 @t740 @t1469)) % 1.11/1.38 (define @t2805 () (or @t740 @t1469)) % 1.11/1.38 (define @t2806 () (=> tptp.upairset2E @t2802)) % 1.11/1.38 (define @t2807 () (_ tptp.in @t1315)) % 1.11/1.38 (define @t2808 () (or @t197 @t642)) % 1.11/1.38 (define @t2809 () (=> tptp.singletoninpowunion @t2806)) % 1.11/1.38 (define @t2810 () (or @t197 @t638)) % 1.11/1.38 (define @t2811 () (=> tptp.singletoninpowerset @t2809)) % 1.11/1.38 (define @t2812 () (or @t197 @t634)) % 1.11/1.38 (define @t2813 () (=> tptp.singletonsubset @t2811)) % 1.11/1.38 (define @t2814 () (=> tptp.kpairp @t2813)) % 1.11/1.38 (define @t2815 () (=> tptp.kpairiskpair @t2814)) % 1.11/1.38 (define @t2816 () (=> tptp.setukpairIR @t2815)) % 1.11/1.38 (define @t2817 () (=> tptp.setukpairIL @t2816)) % 1.11/1.38 (define @t2818 () (=> tptp.secondinupair @t2817)) % 1.11/1.38 (define @t2819 () (or @t7 @t6 @t609)) % 1.11/1.38 (define @t2820 () (not @t435)) % 1.11/1.38 (define @t2821 () (not @t197)) % 1.11/1.38 (define @t2822 () (=> tptp.symdiffIneg2 @t2818)) % 1.11/1.38 (define @t2823 () (or @t197 @t435 @t609)) % 1.11/1.38 (define @t2824 () (=> tptp.symdiffIneg1 @t2822)) % 1.11/1.38 (define @t2825 () (or @t7 @t435 @t599)) % 1.11/1.38 (define @t2826 () (=> tptp.symdiffI2 @t2824)) % 1.11/1.38 (define @t2827 () (or @t197 @t6 @t599)) % 1.11/1.38 (define @t2828 () (=> tptp.symdiffI1 @t2826)) % 1.11/1.38 (define @t2829 () (or @t609 @t1500 @t1499)) % 1.11/1.38 (define @t2830 () (or @t1500 @t1499)) % 1.11/1.38 (define @t2831 () (not false)) % 1.11/1.38 (define @t2832 () (and @t1177 @t1493 @t2831)) % 1.11/1.38 (define @t2833 () (and @t1176 @t1495 @t2831)) % 1.11/1.38 (define @t2834 () (or @t2833 @t2832)) % 1.11/1.38 (define @t2835 () (or @t2833 @t2832 false)) % 1.11/1.38 (define @t2836 () (not @t173)) % 1.11/1.38 (define @t2837 () (and @t1177 @t1493 @t2836)) % 1.11/1.38 (define @t2838 () (and @t1176 @t1495 @t2836)) % 1.11/1.38 (define @t2839 () (not (= @t173 false))) % 1.11/1.38 (define @t2840 () (or @t173 @t2838 @t2837 @t173)) % 1.11/1.38 (define @t2841 () (or @t2838 @t2837 @t173)) % 1.11/1.38 (define @t2842 () (and @t197 @t6 @t2836)) % 1.11/1.38 (define @t2843 () (and @t7 @t435 @t2836)) % 1.11/1.38 (define @t2844 () (or @t2843 @t2842 @t173)) % 1.11/1.38 (define @t2845 () (and @t6 @t2836)) % 1.11/1.38 (define @t2846 () (not @t498)) % 1.11/1.38 (define @t2847 () (=> tptp.symdiffE @t2828)) % 1.11/1.38 (define @t2848 () (= tptp.emptyset @t565)) % 1.11/1.38 (define @t2849 () (not @t2848)) % 1.11/1.38 (define @t2850 () (or @t2849 @t420)) % 1.11/1.38 (define @t2851 () (=> tptp.setminusSubset1 @t2847)) % 1.11/1.38 (define @t2852 () (=> tptp.setminusLsub @t2851)) % 1.11/1.38 (define @t2853 () (or @t435 @t578)) % 1.11/1.38 (define @t2854 () (=> tptp.setminusIRneg @t2852)) % 1.11/1.38 (define @t2855 () (or @t7 @t578)) % 1.11/1.38 (define @t2856 () (=> tptp.setminusILneg @t2854)) % 1.11/1.38 (define @t2857 () (or @t566 @t6 @t197)) % 1.11/1.38 (define @t2858 () (or @t6 @t197)) % 1.11/1.38 (define @t2859 () (not @t578)) % 1.11/1.38 (define @t2860 () (=> tptp.setminusELneg @t2856)) % 1.11/1.38 (define @t2861 () (or @t566 @t197 @t6)) % 1.11/1.38 (define @t2862 () (or @t197 @t6)) % 1.11/1.38 (define @t2863 () (=> tptp.setminusERneg @t2860)) % 1.11/1.38 (define @t2864 () (or @t439 @t2848)) % 1.11/1.38 (define @t2865 () (=> tptp.setminusSubset2 @t2863)) % 1.11/1.38 (define @t2866 () (or @t578 @t435)) % 1.11/1.38 (define @t2867 () (=> tptp.setminusER @t2865)) % 1.11/1.38 (define @t2868 () (or @t578 @t7)) % 1.11/1.38 (define @t2869 () (=> tptp.setminusEL @t2867)) % 1.11/1.38 (define @t2870 () (or @t197 @t6 @t566)) % 1.11/1.38 (define @t2871 () (=> tptp.setminusI @t2869)) % 1.11/1.38 (define @t2872 () (=> tptp.bs114d @t2871)) % 1.11/1.38 (define @t2873 () (= @t2 @t515)) % 1.11/1.38 (define @t2874 () (not @t2873)) % 1.11/1.38 (define @t2875 () (or @t2874 @t420)) % 1.11/1.38 (define @t2876 () (=> tptp.binintersectSubset1 @t2872)) % 1.11/1.38 (define @t2877 () (= @t1 @t515)) % 1.11/1.38 (define @t2878 () (not @t425)) % 1.11/1.38 (define @t2879 () (or @t2878 @t2877)) % 1.11/1.38 (define @t2880 () (=> tptp.binintersectSubset4 @t2876)) % 1.11/1.38 (define @t2881 () (_ tptp.subset @t1520)) % 1.11/1.38 (define @t2882 () (=> tptp.binintersectRsub @t2880)) % 1.11/1.38 (define @t2883 () (= tptp.emptyset @t515)) % 1.11/1.38 (define @t2884 () (or @t1534 @t2883)) % 1.11/1.38 (define @t2885 () (or @t197 @t435)) % 1.11/1.38 (define @t2886 () (forall @t9 (not @t543))) % 1.11/1.38 (define @t2887 () (not @t2886)) % 1.11/1.38 (define @t2888 () (=> tptp.disjointsetsI1 @t2882)) % 1.11/1.38 (define @t2889 () (not @t516)) % 1.11/1.38 (define @t2890 () (or @t2889 @t6)) % 1.11/1.38 (define @t2891 () (=> tptp.binintersectER @t2888)) % 1.11/1.38 (define @t2892 () (not @t2877)) % 1.11/1.38 (define @t2893 () (or @t2892 @t425)) % 1.11/1.38 (define @t2894 () (=> tptp.binintersectSubset3 @t2891)) % 1.11/1.38 (define @t2895 () (or @t439 @t2873)) % 1.11/1.38 (define @t2896 () (=> tptp.binintersectSubset2 @t2894)) % 1.11/1.38 (define @t2897 () (=> tptp.binintersectLsub @t2896)) % 1.11/1.38 (define @t2898 () (or @t2889 @t7)) % 1.11/1.38 (define @t2899 () (=> tptp.binintersectEL @t2897)) % 1.11/1.38 (define @t2900 () (not @t522)) % 1.11/1.38 (define @t2901 () (not @t524)) % 1.11/1.38 (define @t2902 () (or @t2901 @t2900 @t521)) % 1.11/1.38 (define @t2903 () (=> tptp.binintersectSubset5 @t2899)) % 1.11/1.38 (define @t2904 () (or @t197 @t435 @t516)) % 1.11/1.38 (define @t2905 () (=> tptp.binintersectI @t2903)) % 1.11/1.38 (define @t2906 () (=> tptp.binunionRsub @t2905)) % 1.11/1.38 (define @t2907 () (=> tptp.binunionLsub @t2906)) % 1.11/1.38 (define @t2908 () (not @t493)) % 1.11/1.38 (define @t2909 () (or @t2908 @t7 @t6)) % 1.11/1.38 (define @t2910 () (=> tptp.binunionE @t2907)) % 1.11/1.38 (define @t2911 () (and @t1493 @t2831)) % 1.11/1.38 (define @t2912 () (and @t1176 @t2831)) % 1.11/1.38 (define @t2913 () (or @t1554 @t2912 @t2911)) % 1.11/1.38 (define @t2914 () (or @t1554 @t2912 @t2911 false)) % 1.11/1.38 (define @t2915 () (and @t1493 @t2836)) % 1.11/1.38 (define @t2916 () (and @t1176 @t2836)) % 1.11/1.38 (define @t2917 () (or @t173 @t1554 @t2916 @t2915 @t173)) % 1.11/1.38 (define @t2918 () (or @t1554 @t2916 @t2915 @t173)) % 1.11/1.38 (define @t2919 () (forall @t179 @t2918)) % 1.11/1.38 (define @t2920 () (forall @t245 @t2919)) % 1.11/1.38 (define @t2921 () (and @t7 @t2836)) % 1.11/1.38 (define @t2922 () (or @t2908 @t2921 @t2845 @t173)) % 1.11/1.38 (define @t2923 () (or @t2921 @t2845 @t173)) % 1.11/1.38 (define @t2924 () (=> tptp.binunionEcases @t2910)) % 1.11/1.38 (define @t2925 () (or @t435 @t493)) % 1.11/1.38 (define @t2926 () (=> tptp.binunionIR @t2924)) % 1.11/1.38 (define @t2927 () (=> tptp.upairset2IR @t2926)) % 1.11/1.38 (define @t2928 () (or @t197 @t493)) % 1.11/1.38 (define @t2929 () (=> tptp.binunionIL @t2927)) % 1.11/1.38 (define @t2930 () (lambda @t9 @t1378)) % 1.11/1.38 (define @t2931 () (tptp.dsetconstr @t2 @t2930)) % 1.11/1.38 (define @t2932 () (tptp.subset @t2931 @t2)) % 1.11/1.38 (define @t2933 () (=> tptp.sepSubset @t2929)) % 1.11/1.38 (define @t2934 () (tptp.in @t2931 @t1474)) % 1.11/1.38 (define @t2935 () (=> tptp.sepInPowerset @t2933)) % 1.11/1.38 (define @t2936 () (or @t439 @t483)) % 1.11/1.38 (define @t2937 () (=> tptp.powersetsubset @t2935)) % 1.11/1.38 (define @t2938 () (=> tptp.inPowerset @t2937)) % 1.11/1.38 (define @t2939 () (not @t35)) % 1.11/1.38 (define @t2940 () (or @t2939 @t425)) % 1.11/1.38 (define @t2941 () (=> tptp.powersetE1 @t2938)) % 1.11/1.38 (define @t2942 () (or @t2878 @t35)) % 1.11/1.38 (define @t2943 () (=> tptp.powersetI1 @t2941)) % 1.11/1.38 (define @t2944 () (not @t473)) % 1.11/1.38 (define @t2945 () (or @t2944 @t196)) % 1.11/1.38 (define @t2946 () (=> tptp.subsetemptysetimpeq @t2943)) % 1.11/1.38 (define @t2947 () (or @t439 @t2878 @t3)) % 1.11/1.38 (define @t2948 () (=> tptp.setextsub @t2946)) % 1.11/1.38 (define @t2949 () (or @t439 @t467)) % 1.11/1.38 (define @t2950 () (=> tptp.subset2powerset @t2948)) % 1.11/1.38 (define @t2951 () (or @t439 @t463)) % 1.11/1.38 (define @t2952 () (=> tptp.setadjoinSub2 @t2950)) % 1.11/1.38 (define @t2953 () (=> tptp.setadjoinSub @t2952)) % 1.11/1.38 (define @t2954 () (not @t453)) % 1.11/1.38 (define @t2955 () (or @t439 @t2954 @t452)) % 1.11/1.38 (define @t2956 () (=> tptp.subsetTrans @t2953)) % 1.11/1.38 (define @t2957 () (=> tptp.subsetRefl @t2956)) % 1.11/1.38 (define @t2958 () (@list @t1 @t4)) % 1.11/1.38 (define @t2959 () (or @t1495 @t1493)) % 1.11/1.38 (define @t2960 () (not (= @t1 @t1))) % 1.11/1.38 (define @t2961 () (or @t1495 @t1493 @t2960)) % 1.11/1.38 (define @t2962 () (or @t443 @t1177 @t1493 @t443)) % 1.11/1.38 (define @t2963 () (or @t1177 @t1493 @t443)) % 1.11/1.38 (define @t2964 () (forall @t64 @t2963)) % 1.11/1.38 (define @t2965 () (forall @t2958 @t2964)) % 1.11/1.38 (define @t2966 () (forall (@list @t1 @t4 @t2) @t2963)) % 1.11/1.38 (define @t2967 () (or @t197 @t6 @t443)) % 1.11/1.38 (define @t2968 () (=> tptp.notequalI2 @t2957)) % 1.11/1.38 (define @t2969 () (or @t1585 @t2960)) % 1.11/1.38 (define @t2970 () (or @t443 @t1502 @t443)) % 1.11/1.38 (define @t2971 () (or @t1502 @t443)) % 1.11/1.38 (define @t2972 () (forall @t64 @t2971)) % 1.11/1.38 (define @t2973 () (forall @t41 @t2972)) % 1.11/1.38 (define @t2974 () (@list @t1 @t2)) % 1.11/1.38 (define @t2975 () (forall @t2974 @t2971)) % 1.11/1.38 (define @t2976 () (or @t420 @t443)) % 1.11/1.38 (define @t2977 () (=> tptp.notequalI1 @t2968)) % 1.11/1.38 (define @t2978 () (or @t197 @t6 @t439)) % 1.11/1.38 (define @t2979 () (=> tptp.notsubsetI @t2977)) % 1.11/1.38 (define @t2980 () (or @t439 @t6 @t197)) % 1.11/1.38 (define @t2981 () (=> tptp.subsetE2 @t2979)) % 1.11/1.38 (define @t2982 () (or @t439 @t197 @t6)) % 1.11/1.38 (define @t2983 () (=> tptp.subsetE @t2981)) % 1.11/1.38 (define @t2984 () (=> tptp.emptysetsubset @t2983)) % 1.11/1.38 (define @t2985 () (or @t1593 @t420)) % 1.11/1.38 (define @t2986 () (=> tptp.subsetI2 @t2984)) % 1.11/1.38 (define @t2987 () (or @t2960 @t1585)) % 1.11/1.38 (define @t2988 () (or @t443 @t443 @t1502)) % 1.11/1.38 (define @t2989 () (or @t443 @t1502)) % 1.11/1.38 (define @t2990 () (forall @t64 @t2989)) % 1.11/1.38 (define @t2991 () (forall @t41 @t2990)) % 1.11/1.38 (define @t2992 () (forall @t2974 @t2989)) % 1.11/1.38 (define @t2993 () (or @t443 @t420)) % 1.11/1.38 (define @t2994 () (=> tptp.eqimpsubset1 @t2986)) % 1.11/1.38 (define @t2995 () (or @t443 @t443 @t1528)) % 1.11/1.38 (define @t2996 () (or @t443 @t1528)) % 1.11/1.38 (define @t2997 () (forall @t64 @t2996)) % 1.11/1.38 (define @t2998 () (forall @t41 @t2997)) % 1.11/1.38 (define @t2999 () (forall @t2974 @t2996)) % 1.11/1.38 (define @t3000 () (or @t443 @t425)) % 1.11/1.38 (define @t3001 () (=> tptp.eqimpsubset2 @t2994)) % 1.11/1.38 (define @t3002 () (=> tptp.subsetI1 @t3001)) % 1.11/1.38 (define @t3003 () (or @t1495 @t1495 @t1600)) % 1.11/1.38 (define @t3004 () (forall @t9 @t3003)) % 1.11/1.38 (define @t3005 () (not @t3004)) % 1.11/1.38 (define @t3006 () (or @t2960 @t3005 (= @t1596 @t1598))) % 1.11/1.38 (define @t3007 () (= (tptp.dsetconstr @t2 @t1595) @t1598)) % 1.11/1.38 (define @t3008 () (not (forall @t9 (or @t1177 @t1495 @t1600)))) % 1.11/1.38 (define @t3009 () (or @t443 @t443 @t3008 @t3007)) % 1.11/1.38 (define @t3010 () (or @t443 @t3008 @t3007)) % 1.11/1.38 (define @t3011 () (forall @t64 @t3010)) % 1.11/1.38 (define @t3012 () (forall @t1604 @t3011)) % 1.11/1.38 (define @t3013 () (forall (@list @t1 @t1595 @t1597 @t2) @t3010)) % 1.11/1.38 (define @t3014 () (@list @t2 @t1 @t1595 @t1597)) % 1.11/1.38 (define @t3015 () (or @t3008 @t3007)) % 1.11/1.38 (define @t3016 () (or @t443 @t3015)) % 1.11/1.38 (define @t3017 () (forall @t3014 @t3016)) % 1.11/1.38 (define @t3018 () (@list @t1595 @t1597)) % 1.11/1.38 (define @t3019 () (forall @t3018 @t3016)) % 1.11/1.38 (define @t3020 () (forall @t3018 @t3015)) % 1.11/1.38 (define @t3021 () (or @t443 @t3020)) % 1.11/1.38 (define @t3022 () (= @t1378 @t1629)) % 1.11/1.38 (define @t3023 () (forall @t9 (or @t1177 @t1495 @t3022))) % 1.11/1.38 (define @t3024 () (not @t3023)) % 1.11/1.38 (define @t3025 () (forall @t376 (or @t3024 (= @t1195 (tptp.dsetconstr @t1 @t366))))) % 1.11/1.38 (define @t3026 () (lambda @t9 @t1629)) % 1.11/1.38 (define @t3027 () (tptp.dsetconstr @t1 @t3026)) % 1.11/1.38 (define @t3028 () (= @t2931 @t3027)) % 1.11/1.38 (define @t3029 () (or @t3024 @t3028)) % 1.11/1.38 (define @t3030 () (or @t3024 @t410)) % 1.11/1.38 (define @t3031 () (or @t197 @t1495 @t3022)) % 1.11/1.38 (define @t3032 () (or @t1495 @t3022)) % 1.11/1.38 (define @t3033 () (not (= @t4 @t4))) % 1.11/1.38 (define @t3034 () (or @t1495 @t3033 @t3022)) % 1.11/1.38 (define @t3035 () (= @t1378 @t1607)) % 1.11/1.38 (define @t3036 () (or @t282 @t2192 @t282 @t3035)) % 1.11/1.38 (define @t3037 () (or @t2192 @t282 @t3035)) % 1.11/1.38 (define @t3038 () (or @t2197 @t282 @t372)) % 1.11/1.38 (define @t3039 () (or @t282 @t372)) % 1.11/1.38 (define @t3040 () (=> tptp.dsetconstr__Cong @t3002)) % 1.11/1.38 (define @t3041 () (or @t1608 (= @t1606 @t19))) % 1.11/1.38 (define @t3042 () (forall @t70 @t3041)) % 1.11/1.38 (define @t3043 () (not @t3042)) % 1.11/1.38 (define @t3044 () (or @t1393 (= @t1610 @t19))) % 1.11/1.38 (define @t3045 () (forall @t70 @t3044)) % 1.11/1.38 (define @t3046 () (not @t3045)) % 1.11/1.38 (define @t3047 () (or @t1616 @t1613 @t1611 @t3046 @t1609 @t3043)) % 1.11/1.38 (define @t3048 () (or @t1609 @t3043)) % 1.11/1.38 (define @t3049 () (or @t1611 @t3046)) % 1.11/1.38 (define @t3050 () (or @t1616 @t3049 @t3048 @t1613)) % 1.11/1.38 (define @t3051 () (forall @t1617 @t3050)) % 1.11/1.38 (define @t3052 () (forall (@list @t1610 @t1606) @t3050)) % 1.11/1.38 (define @t3053 () (forall (@list @t1606) @t3048)) % 1.11/1.38 (define @t3054 () (forall (@list @t1610) @t3049)) % 1.11/1.38 (define @t3055 () (or @t1616 @t3054 @t3053 @t1613)) % 1.11/1.38 (define @t3056 () (tptp.descr @t3026)) % 1.11/1.38 (define @t3057 () (tptp.descr @t2930)) % 1.11/1.38 (define @t3058 () (= @t3057 @t3056)) % 1.11/1.38 (define @t3059 () (or @t1616 @t1634 @t1630 @t3058)) % 1.11/1.38 (define @t3060 () (or @t1616 @t1634 @t1630 @t402)) % 1.11/1.38 (define @t3061 () (or @t1634 @t1630 @t402)) % 1.11/1.38 (define @t3062 () (=> @t1631 @t402)) % 1.11/1.38 (define @t3063 () (not @t1635)) % 1.11/1.38 (define @t3064 () (=> @t1635 @t3062)) % 1.11/1.38 (define @t3065 () (not @t367)) % 1.11/1.38 (define @t3066 () (or @t3065 @t1628)) % 1.11/1.38 (define @t3067 () (not @t371)) % 1.11/1.38 (define @t3068 () (or @t3067 @t129)) % 1.11/1.38 (define @t3069 () (_ @t368 @t19)) % 1.11/1.38 (define @t3070 () (not @t3069)) % 1.11/1.38 (define @t3071 () (or @t3070 @t129)) % 1.11/1.38 (define @t3072 () (forall @t70 @t3071)) % 1.11/1.38 (define @t3073 () (not @t3072)) % 1.11/1.38 (define @t3074 () (_ @t368 @t4)) % 1.11/1.38 (define @t3075 () (not @t3074)) % 1.11/1.38 (define @t3076 () (or @t3075 @t3073)) % 1.11/1.38 (define @t3077 () (forall @t9 @t3076)) % 1.11/1.38 (define @t3078 () (not @t3077)) % 1.11/1.38 (define @t3079 () (lambda @t150 @t1635)) % 1.11/1.38 (define @t3080 () (_ @t3079 @t368)) % 1.11/1.38 (define @t3081 () (=> @t3080 @t402)) % 1.11/1.38 (define @t3082 () (or @t315 @t1633)) % 1.11/1.38 (define @t3083 () (_ @t145 @t19)) % 1.11/1.38 (define @t3084 () (not @t3083)) % 1.11/1.38 (define @t3085 () (or @t3084 @t129)) % 1.11/1.38 (define @t3086 () (forall @t70 @t3085)) % 1.11/1.38 (define @t3087 () (not @t3086)) % 1.11/1.38 (define @t3088 () (_ @t145 @t4)) % 1.11/1.38 (define @t3089 () (not @t3088)) % 1.11/1.38 (define @t3090 () (or @t3089 @t3087)) % 1.11/1.38 (define @t3091 () (forall @t9 @t3090)) % 1.11/1.38 (define @t3092 () (not @t3091)) % 1.11/1.38 (define @t3093 () (_ @t3079 @t145)) % 1.11/1.38 (define @t3094 () (=> @t3093 @t3081)) % 1.11/1.38 (define @t3095 () (or @t2546 @t1614)) % 1.11/1.38 (define @t3096 () (or @t282 @t282 @t3035)) % 1.11/1.38 (define @t3097 () (or @t282 @t3035)) % 1.11/1.38 (define @t3098 () (forall @t9 @t3097)) % 1.11/1.38 (define @t3099 () (forall @t70 @t3098)) % 1.11/1.38 (define @t3100 () (forall @t2554 @t3097)) % 1.11/1.38 (define @t3101 () (=> @t374 @t3094)) % 1.11/1.38 (define @t3102 () (forall @t376 @t3101)) % 1.11/1.38 (define @t3103 () (and @t144 @t1632)) % 1.11/1.38 (define @t3104 () (forall @t9 (not @t3103))) % 1.11/1.38 (define @t3105 () (not @t3104)) % 1.11/1.38 (define @t3106 () (=> tptp.descr__Cong @t3040)) % 1.11/1.38 (define @t3107 () (or @t1393 (= @t1624 @t19))) % 1.11/1.38 (define @t3108 () (forall @t70 @t3107)) % 1.11/1.38 (define @t3109 () (not @t3108)) % 1.11/1.38 (define @t3110 () (or @t1625 @t3109 @t1623 @t1622 @t1621)) % 1.11/1.38 (define @t3111 () (or @t1623 @t1622 @t1621)) % 1.11/1.38 (define @t3112 () (or @t1625 @t3109)) % 1.11/1.38 (define @t3113 () (or @t3112 @t3111)) % 1.11/1.38 (define @t3114 () (forall @t1626 @t3113)) % 1.11/1.38 (define @t3115 () (forall (@list @t1624 @t1620 @t1619) @t3113)) % 1.11/1.38 (define @t3116 () (forall (@list @t1620 @t1619) @t3111)) % 1.11/1.38 (define @t3117 () (forall (@list @t1624) @t3112)) % 1.11/1.38 (define @t3118 () (or @t3117 @t3116)) % 1.11/1.38 (define @t3119 () (=> @t3093 @t344)) % 1.11/1.38 (define @t3120 () (forall @t150 @t3119)) % 1.11/1.38 (define @t3121 () (=> tptp.exuEu @t3106)) % 1.11/1.38 (define @t3122 () (=> tptp.omega__Cong @t3121)) % 1.11/1.38 (define @t3123 () (tptp.setunion @t1)) % 1.11/1.38 (define @t3124 () (or @t2960 (= @t3123 @t3123))) % 1.11/1.38 (define @t3125 () (= @t1418 @t3123)) % 1.11/1.38 (define @t3126 () (or @t443 @t443 @t3125)) % 1.11/1.38 (define @t3127 () (or @t443 @t3125)) % 1.11/1.38 (define @t3128 () (forall @t64 @t3127)) % 1.11/1.38 (define @t3129 () (forall @t41 @t3128)) % 1.11/1.38 (define @t3130 () (forall @t2974 @t3127)) % 1.11/1.38 (define @t3131 () (or @t443 @t396)) % 1.11/1.38 (define @t3132 () (=> tptp.setunion__Cong @t3122)) % 1.11/1.38 (define @t3133 () (or @t2960 (= @t1560 @t1560))) % 1.11/1.38 (define @t3134 () (= @t1474 @t1560)) % 1.11/1.38 (define @t3135 () (or @t443 @t443 @t3134)) % 1.11/1.38 (define @t3136 () (or @t443 @t3134)) % 1.11/1.38 (define @t3137 () (forall @t64 @t3136)) % 1.11/1.38 (define @t3138 () (forall @t41 @t3137)) % 1.11/1.38 (define @t3139 () (forall @t2974 @t3136)) % 1.11/1.38 (define @t3140 () (or @t443 @t392)) % 1.11/1.38 (define @t3141 () (=> tptp.powerset__Cong @t3132)) % 1.11/1.38 (define @t3142 () (@var "BOUND_VARIABLE_10449" $$unsorted)) % 1.11/1.38 (define @t3143 () (@list @t19 @t3142)) % 1.11/1.38 (define @t3144 () (tptp.setadjoin @t19 @t3142)) % 1.11/1.38 (define @t3145 () (or @t2546 (= @t3144 @t3144))) % 1.11/1.38 (define @t3146 () (= @t3144 (tptp.setadjoin @t4 @t3142))) % 1.11/1.38 (define @t3147 () (or @t282 @t282 @t3146)) % 1.11/1.38 (define @t3148 () (or @t282 @t3146)) % 1.11/1.38 (define @t3149 () (forall @t9 @t3148)) % 1.11/1.38 (define @t3150 () (forall @t3143 @t3149)) % 1.11/1.38 (define @t3151 () (forall (@list @t19 @t3142 @t4) @t3148)) % 1.11/1.38 (define @t3152 () (forall (@list @t4 @t19 @t3142) @t3148)) % 1.11/1.38 (define @t3153 () (@list @t3142)) % 1.11/1.38 (define @t3154 () (forall @t3153 @t3148)) % 1.11/1.38 (define @t3155 () (forall @t3153 @t3146)) % 1.11/1.38 (define @t3156 () (or @t282 @t3155)) % 1.11/1.38 (define @t3157 () (tptp.setadjoin @t4 @t381)) % 1.11/1.38 (define @t3158 () (tptp.setadjoin @t19 @t381)) % 1.11/1.38 (define @t3159 () (= @t3158 @t3157)) % 1.11/1.38 (define @t3160 () (forall @t751 @t3159)) % 1.11/1.38 (define @t3161 () (or @t2535 (= @t3157 @t3158))) % 1.11/1.38 (define @t3162 () (tptp.setadjoin @t4 @t289)) % 1.11/1.38 (define @t3163 () (= @t3162 @t3158)) % 1.11/1.38 (define @t3164 () (or @t2537 @t2537 @t3163)) % 1.11/1.38 (define @t3165 () (or @t2537 @t3163)) % 1.11/1.38 (define @t3166 () (forall @t2539 @t3165)) % 1.11/1.38 (define @t3167 () (forall @t751 @t3166)) % 1.11/1.38 (define @t3168 () (forall (@list @t381 @t289) @t3165)) % 1.11/1.38 (define @t3169 () (or @t2537 @t384)) % 1.11/1.38 (define @t3170 () (=> tptp.setadjoin__Cong @t3141)) % 1.11/1.38 (define @t3171 () (=> tptp.emptyset__Cong @t3170)) % 1.11/1.38 (define @t3172 () (= @t3093 @t3080)) % 1.11/1.38 (define @t3173 () (=> @t374 @t3172)) % 1.11/1.38 (define @t3174 () (forall @t376 @t3173)) % 1.11/1.38 (define @t3175 () (=> tptp.exu__Cong @t3171)) % 1.11/1.38 (define @t3176 () (=> tptp.exuE3u @t3175)) % 1.11/1.38 (define @t3177 () (@var "BOUND_VARIABLE_10323" $$unsorted)) % 1.11/1.38 (define @t3178 () (@list @t1 @t3177)) % 1.11/1.38 (define @t3179 () (tptp.in @t3177 @t1)) % 1.11/1.38 (define @t3180 () (or @t2960 (= @t3179 @t3179))) % 1.11/1.38 (define @t3181 () (= (tptp.in @t3177 @t2) @t3179)) % 1.11/1.38 (define @t3182 () (or @t443 @t443 @t3181)) % 1.11/1.38 (define @t3183 () (or @t443 @t3181)) % 1.11/1.38 (define @t3184 () (forall @t64 @t3183)) % 1.11/1.38 (define @t3185 () (forall @t3178 @t3184)) % 1.11/1.38 (define @t3186 () (forall (@list @t1 @t3177 @t2) @t3183)) % 1.11/1.38 (define @t3187 () (forall (@list @t2 @t1 @t3177) @t3183)) % 1.11/1.38 (define @t3188 () (@list @t3177)) % 1.11/1.38 (define @t3189 () (forall @t3188 @t3183)) % 1.11/1.38 (define @t3190 () (forall @t3188 @t3181)) % 1.11/1.38 (define @t3191 () (or @t443 @t3190)) % 1.11/1.38 (define @t3192 () (= @t1394 @t1265)) % 1.11/1.38 (define @t3193 () (forall @t70 @t3192)) % 1.11/1.38 (define @t3194 () (or @t2546 @t3192)) % 1.11/1.38 (define @t3195 () (= @t1176 @t1265)) % 1.11/1.38 (define @t3196 () (or @t282 @t282 @t3195)) % 1.11/1.38 (define @t3197 () (or @t282 @t3195)) % 1.11/1.38 (define @t3198 () (forall @t9 @t3197)) % 1.11/1.38 (define @t3199 () (forall @t70 @t3198)) % 1.11/1.38 (define @t3200 () (forall @t2554 @t3197)) % 1.11/1.38 (define @t3201 () (or @t282 @t358)) % 1.11/1.38 (define @t3202 () (=> tptp.in__Cong @t3176)) % 1.11/1.38 (define @t3203 () (@var "BOUND_VARIABLE_10286" $$unsorted)) % 1.11/1.38 (define @t3204 () (@list @t1 @t3203)) % 1.11/1.38 (define @t3205 () (tptp.in @t3203 @t1)) % 1.11/1.38 (define @t3206 () (not @t3205)) % 1.11/1.38 (define @t3207 () (or @t3206 @t3205)) % 1.11/1.38 (define @t3208 () (or @t2960 @t3206 @t3205)) % 1.11/1.38 (define @t3209 () (not (tptp.in @t3203 @t2))) % 1.11/1.38 (define @t3210 () (or @t443 @t443 @t3209 @t3205)) % 1.11/1.38 (define @t3211 () (or @t443 @t3209 @t3205)) % 1.11/1.38 (define @t3212 () (forall @t64 @t3211)) % 1.11/1.38 (define @t3213 () (forall @t3204 @t3212)) % 1.11/1.38 (define @t3214 () (forall (@list @t1 @t3203 @t2) @t3211)) % 1.11/1.38 (define @t3215 () (@list @t2 @t1 @t3203)) % 1.11/1.38 (define @t3216 () (or @t3209 @t3205)) % 1.11/1.38 (define @t3217 () (or @t443 @t3216)) % 1.11/1.38 (define @t3218 () (forall @t3215 @t3217)) % 1.11/1.38 (define @t3219 () (@list @t3203)) % 1.11/1.38 (define @t3220 () (forall @t3219 @t3217)) % 1.11/1.38 (define @t3221 () (forall @t3219 @t3216)) % 1.11/1.38 (define @t3222 () (or @t443 @t3221)) % 1.11/1.38 (define @t3223 () (or @t1395 @t1265)) % 1.11/1.38 (define @t3224 () (forall @t70 @t3223)) % 1.11/1.38 (define @t3225 () (or @t2546 @t1395 @t1265)) % 1.11/1.38 (define @t3226 () (or @t282 @t282 @t1177 @t1265)) % 1.11/1.38 (define @t3227 () (or @t282 @t1177 @t1265)) % 1.11/1.38 (define @t3228 () (forall @t9 @t3227)) % 1.11/1.38 (define @t3229 () (forall @t70 @t3228)) % 1.11/1.38 (define @t3230 () (forall @t2554 @t3227)) % 1.11/1.38 (define @t3231 () (or @t282 @t197 @t352)) % 1.11/1.38 (define @t3232 () (=> tptp.inCongP @t3202)) % 1.11/1.38 (define @t3233 () (= @t1638 @t19)) % 1.11/1.38 (define @t3234 () (forall @t70 (= @t3233 @t1392))) % 1.11/1.38 (define @t3235 () (not @t3234)) % 1.11/1.38 (define @t3236 () (or @t3235 @t1635)) % 1.11/1.38 (define @t3237 () (forall @t1639 @t3236)) % 1.11/1.38 (define @t3238 () (@list @t1638)) % 1.11/1.38 (define @t3239 () (forall @t3238 @t3236)) % 1.11/1.38 (define @t3240 () (forall @t3238 @t3235)) % 1.11/1.38 (define @t3241 () (or @t3240 @t1635)) % 1.11/1.38 (define @t3242 () (= @t153 @t129)) % 1.11/1.38 (define @t3243 () (=> @t265 @t3093)) % 1.11/1.38 (define @t3244 () (forall @t150 @t3243)) % 1.11/1.38 (define @t3245 () (=> tptp.exuI2 @t3232)) % 1.11/1.38 (define @t3246 () (@list @t1643)) % 1.11/1.38 (define @t3247 () (forall @t3246 @t1645)) % 1.11/1.38 (define @t3248 () (forall @t3246 @t1644)) % 1.11/1.38 (define @t3249 () (or @t3248 @t1642 @t1635)) % 1.11/1.38 (define @t3250 () (or @t1752 @t1642 @t1635)) % 1.11/1.38 (define @t3251 () (=> @t1641 @t1635)) % 1.11/1.38 (define @t3252 () (=> @t344 @t3093)) % 1.11/1.38 (define @t3253 () (forall @t9 @t315)) % 1.11/1.38 (define @t3254 () (not @t3253)) % 1.11/1.38 (define @t3255 () (=> @t186 @t3252)) % 1.11/1.38 (define @t3256 () (forall @t150 @t3255)) % 1.11/1.38 (define @t3257 () (=> tptp.exuI3 @t3245)) % 1.11/1.38 (define @t3258 () (=> @t169 @t3093)) % 1.11/1.38 (define @t3259 () (forall @t150 @t3258)) % 1.11/1.38 (define @t3260 () (=> tptp.exuI1 @t3257)) % 1.11/1.38 (define @t3261 () (forall @t9 (or @t1177 @t1378))) % 1.11/1.38 (define @t3262 () (not @t3261)) % 1.11/1.38 (define @t3263 () (or @t197 @t144)) % 1.11/1.38 (define @t3264 () (forall @t9 (not @t316))) % 1.11/1.38 (define @t3265 () (not @t3264)) % 1.11/1.38 (define @t3266 () (=> tptp.notdallE @t3260)) % 1.11/1.38 (define @t3267 () (=> tptp.notdexE @t3266)) % 1.11/1.38 (define @t3268 () (or @t2534 @t1649)) % 1.11/1.38 (define @t3269 () (tptp.prop2set @t173)) % 1.11/1.38 (define @t3270 () (tptp.set2prop @t3269)) % 1.11/1.38 (define @t3271 () (not (= @t173 true))) % 1.11/1.38 (define @t3272 () (or @t2836 @t2836 @t3270)) % 1.11/1.38 (define @t3273 () (or @t2836 @t3270)) % 1.11/1.38 (define @t3274 () (or @t2836 @t337)) % 1.11/1.38 (define @t3275 () (=> tptp.prop2set2propI @t3267)) % 1.11/1.38 (define @t3276 () (or @t2534 @t1651)) % 1.11/1.38 (define @t3277 () (tptp.in tptp.emptyset @t3269)) % 1.11/1.38 (define @t3278 () (or @t2836 @t2836 @t3277)) % 1.11/1.38 (define @t3279 () (or @t2836 @t3277)) % 1.11/1.38 (define @t3280 () (or @t2836 @t334)) % 1.11/1.38 (define @t3281 () (=> tptp.prop2setI @t3275)) % 1.11/1.38 (define @t3282 () (=> tptp.quantDeMorgan4 @t3281)) % 1.11/1.38 (define @t3283 () (=> tptp.quantDeMorgan3 @t3282)) % 1.11/1.38 (define @t3284 () (=> tptp.quantDeMorgan2 @t3283)) % 1.11/1.38 (define @t3285 () (=> tptp.quantDeMorgan1 @t3284)) % 1.11/1.38 (define @t3286 () (or @t16 @t144)) % 1.11/1.38 (define @t3287 () (=> tptp.vacuousDall @t3285)) % 1.11/1.38 (define @t3288 () (or @t1659 @t1658)) % 1.11/1.38 (define @t3289 () (or @t3288 @t1660)) % 1.11/1.38 (define @t3290 () (forall @t1662 @t3289)) % 1.11/1.38 (define @t3291 () (@list @t1657)) % 1.11/1.38 (define @t3292 () (forall @t3291 @t3289)) % 1.11/1.38 (define @t3293 () (forall @t3291 @t3288)) % 1.11/1.38 (define @t3294 () (or @t3293 @t1660)) % 1.11/1.38 (define @t3295 () (= tptp.emptyset @t2931)) % 1.11/1.38 (define @t3296 () (not @t3295)) % 1.11/1.38 (define @t3297 () (or @t1402 @t3296)) % 1.11/1.38 (define @t3298 () (= tptp.emptyset @t304)) % 1.11/1.38 (define @t3299 () (not @t3298)) % 1.11/1.38 (define @t3300 () (or @t1402 @t3299)) % 1.11/1.38 (define @t3301 () (=> tptp.emptyE1 @t3287)) % 1.11/1.38 (define @t3302 () (=> tptp.upairsetIR @t3301)) % 1.11/1.38 (define @t3303 () (=> tptp.upairsetIL @t3302)) % 1.11/1.38 (define @t3304 () (=> tptp.upairsetE @t3303)) % 1.11/1.38 (define @t3305 () (not @t276)) % 1.11/1.38 (define @t3306 () (or @t3305 @t280)) % 1.11/1.38 (define @t3307 () (=> tptp.singletonsswitch @t3304)) % 1.11/1.38 (define @t3308 () (or @t2546 @t1675)) % 1.11/1.38 (define @t3309 () (or @t282 @t282 @t1671)) % 1.11/1.38 (define @t3310 () (or @t282 @t1671)) % 1.11/1.38 (define @t3311 () (forall @t9 @t3310)) % 1.11/1.38 (define @t3312 () (forall @t70 @t3311)) % 1.11/1.38 (define @t3313 () (forall @t2554 @t3310)) % 1.11/1.38 (define @t3314 () (or @t282 @t276)) % 1.11/1.38 (define @t3315 () (=> tptp.eqinunit @t3307)) % 1.11/1.38 (define @t3316 () (or @t129 @t281)) % 1.11/1.38 (define @t3317 () (=> tptp.notinsingleton @t3315)) % 1.11/1.38 (define @t3318 () (or @t3305 @t129)) % 1.11/1.38 (define @t3319 () (=> tptp.uniqinunit @t3317)) % 1.11/1.38 (define @t3320 () (not @t196)) % 1.11/1.38 (define @t3321 () (not @t198)) % 1.11/1.38 (define @t3322 () (_ @t1151 @t2)) % 1.11/1.38 (define @t3323 () (=> @t3322 @t270)) % 1.11/1.38 (define @t3324 () (forall @t64 @t3323)) % 1.11/1.38 (define @t3325 () (=> tptp.nonemptyImpWitness @t3319)) % 1.11/1.38 (define @t3326 () (or @t1393 (= @t1686 @t19))) % 1.11/1.38 (define @t3327 () (forall @t70 @t3326)) % 1.11/1.38 (define @t3328 () (not @t3327)) % 1.11/1.38 (define @t3329 () (or @t1690 @t1687 @t3328)) % 1.11/1.38 (define @t3330 () (or @t1687 @t3328)) % 1.11/1.38 (define @t3331 () (or @t3330 @t1690)) % 1.11/1.38 (define @t3332 () (forall @t1691 @t3331)) % 1.11/1.38 (define @t3333 () (@list @t1686)) % 1.11/1.38 (define @t3334 () (forall @t3333 @t3331)) % 1.11/1.38 (define @t3335 () (forall @t3333 @t3330)) % 1.11/1.38 (define @t3336 () (or @t3335 @t1690)) % 1.11/1.38 (define @t3337 () (=> @t3093 @t265)) % 1.11/1.38 (define @t3338 () (forall @t150 @t3337)) % 1.11/1.38 (define @t3339 () (=> tptp.exuE2 @t3325)) % 1.11/1.38 (define @t3340 () (or @t197 @t260)) % 1.11/1.38 (define @t3341 () (=> tptp.subPowSU @t3339)) % 1.11/1.38 (define @t3342 () (or @t2703 @t1701)) % 1.11/1.38 (define @t3343 () (and @t2831 @t1701)) % 1.11/1.38 (define @t3344 () (or @t3343 false)) % 1.11/1.38 (define @t3345 () (and @t2836 @t1701)) % 1.11/1.38 (define @t3346 () (or @t173 @t3345 @t173)) % 1.11/1.38 (define @t3347 () (or @t3345 @t173)) % 1.11/1.38 (define @t3348 () (or @t173 @t1700)) % 1.11/1.38 (define @t3349 () (not @t39)) % 1.11/1.38 (define @t3350 () (or @t435 @t3349)) % 1.11/1.38 (define @t3351 () (forall @t41 @t3350)) % 1.11/1.38 (define @t3352 () (or @t173 @t3351)) % 1.11/1.38 (define @t3353 () (or @t173 @t3350)) % 1.11/1.38 (define @t3354 () (or @t435 @t3349 @t173)) % 1.11/1.38 (define @t3355 () (=> tptp.setunionE @t3341)) % 1.11/1.38 (define @t3356 () (or @t435 @t3349 @t44)) % 1.11/1.38 (define @t3357 () (=> tptp.setunionI @t3355)) % 1.11/1.38 (define @t3358 () (or @t2939 @t435 @t7)) % 1.11/1.38 (define @t3359 () (or @t435 @t7)) % 1.11/1.38 (define @t3360 () (=> tptp.powersetE @t3357)) % 1.11/1.38 (define @t3361 () (=> tptp.emptyInPowerset @t3360)) % 1.11/1.38 (define @t3362 () (=> tptp.emptyinPowerset @t3361)) % 1.11/1.38 (define @t3363 () (or @t1713 @t35)) % 1.11/1.38 (define @t3364 () (=> tptp.powersetI @t3362)) % 1.11/1.38 (define @t3365 () (_ @t155 @t1717)) % 1.11/1.38 (define @t3366 () (= @t2 @t3365)) % 1.11/1.38 (define @t3367 () (=> tptp.setoftrueEq @t3364)) % 1.11/1.38 (define @t3368 () (not @t26)) % 1.11/1.38 (define @t3369 () (or @t3368 @t129 @t21)) % 1.11/1.38 (define @t3370 () (or @t129 @t21)) % 1.11/1.38 (define @t3371 () (=> tptp.setadjoinOr @t3367)) % 1.11/1.38 (define @t3372 () (or @t3368 @t129 @t1394)) % 1.11/1.38 (define @t3373 () (and @t1394 @t2831)) % 1.11/1.38 (define @t3374 () (and @t129 @t2831)) % 1.11/1.38 (define @t3375 () (or @t3374 @t3373)) % 1.11/1.38 (define @t3376 () (or @t3374 @t3373 false)) % 1.11/1.38 (define @t3377 () (and @t1394 @t2836)) % 1.11/1.38 (define @t3378 () (and @t129 @t2836)) % 1.11/1.38 (define @t3379 () (or @t173 @t3378 @t3377 @t173)) % 1.11/1.38 (define @t3380 () (or @t3378 @t3377 @t173)) % 1.11/1.38 (define @t3381 () (and @t21 @t2836)) % 1.11/1.38 (define @t3382 () (or @t3378 @t3381 @t173)) % 1.11/1.38 (define @t3383 () (=> @t129 @t173)) % 1.11/1.38 (define @t3384 () (=> tptp.setadjoinE @t3371)) % 1.11/1.38 (define @t3385 () (or @t2075 @t26)) % 1.11/1.38 (define @t3386 () (=> tptp.setadjoinIR @t3384)) % 1.11/1.38 (define @t3387 () (=> tptp.emptyinunitempty @t3386)) % 1.11/1.38 (define @t3388 () (=> tptp.setadjoinIL @t3387)) % 1.11/1.38 (define @t3389 () (not @t379)) % 1.11/1.38 (define @t3390 () (or @t1735 @t3389)) % 1.11/1.38 (define @t3391 () (not (tptp.in @t1734 @t2))) % 1.11/1.38 (define @t3392 () (or @t3320 @t3391 @t3320)) % 1.11/1.38 (define @t3393 () (or @t3391 @t3320)) % 1.11/1.38 (define @t3394 () (forall @t64 @t3393)) % 1.11/1.38 (define @t3395 () (forall @t1736 @t3394)) % 1.11/1.38 (define @t3396 () (forall (@list @t1734 @t2) @t3393)) % 1.11/1.38 (define @t3397 () (forall (@list @t2 @t1734) @t3393)) % 1.11/1.38 (define @t3398 () (forall @t1736 @t3393)) % 1.11/1.38 (define @t3399 () (forall @t1736 @t3391)) % 1.11/1.38 (define @t3400 () (or @t3399 @t3320)) % 1.11/1.38 (define @t3401 () (not @t1683)) % 1.11/1.38 (define @t3402 () (=> @t89 @t3322)) % 1.11/1.38 (define @t3403 () (forall @t64 @t3402)) % 1.11/1.38 (define @t3404 () (=> tptp.nonemptyI1 @t3388)) % 1.11/1.38 (define @t3405 () (= tptp.emptyset @t2664)) % 1.11/1.38 (define @t3406 () (not @t3405)) % 1.11/1.38 (define @t3407 () (or @t1177 @t1379 @t3406)) % 1.11/1.38 (define @t3408 () (= tptp.emptyset @t156)) % 1.11/1.38 (define @t3409 () (not @t3408)) % 1.11/1.38 (define @t3410 () (or @t197 @t315 @t3409)) % 1.11/1.38 (define @t3411 () (=> @t144 @t3409)) % 1.11/1.38 (define @t3412 () (not (= @t156 tptp.emptyset))) % 1.11/1.38 (define @t3413 () (_ @t1151 @t156)) % 1.11/1.38 (define @t3414 () (=> @t144 @t3413)) % 1.11/1.38 (define @t3415 () (=> @t7 @t3414)) % 1.11/1.38 (define @t3416 () (forall @t159 @t3415)) % 1.11/1.38 (define @t3417 () (=> tptp.nonemptyI @t3404)) % 1.11/1.38 (define @t3418 () (=> @t3322 @t89)) % 1.11/1.38 (define @t3419 () (forall @t64 @t3418)) % 1.11/1.38 (define @t3420 () (=> tptp.nonemptyE1 @t3417)) % 1.11/1.38 (define @t3421 () (= @t1378 @t2667)) % 1.11/1.38 (define @t3422 () (or @t1177 @t3421)) % 1.11/1.38 (define @t3423 () (= @t144 @t157)) % 1.11/1.38 (define @t3424 () (or @t197 @t3423)) % 1.11/1.38 (define @t3425 () (=> tptp.setbeta @t3420)) % 1.11/1.38 (define @t3426 () (=> tptp.noeltsimpempty @t3425)) % 1.11/1.38 (define @t3427 () (=> tptp.emptyI @t3426)) % 1.11/1.38 (define @t3428 () (=> @t1712 @t3)) % 1.11/1.38 (define @t3429 () (=> tptp.setext @t3427)) % 1.11/1.38 (define @t3430 () (or @t1393 (= @t1750 @t19))) % 1.11/1.38 (define @t3431 () (forall @t70 @t3430)) % 1.11/1.38 (define @t3432 () (not @t3431)) % 1.11/1.38 (define @t3433 () (or @t1753 @t1751 @t3432)) % 1.11/1.38 (define @t3434 () (or @t1751 @t3432)) % 1.11/1.38 (define @t3435 () (or @t3434 @t1753)) % 1.11/1.38 (define @t3436 () (forall @t1754 @t3435)) % 1.11/1.38 (define @t3437 () (@list @t1750)) % 1.11/1.38 (define @t3438 () (forall @t3437 @t3435)) % 1.11/1.38 (define @t3439 () (forall @t3437 @t3434)) % 1.11/1.38 (define @t3440 () (or @t3439 @t1753)) % 1.11/1.38 (define @t3441 () (=> @t3093 @t186)) % 1.11/1.38 (define @t3442 () (forall @t150 @t3441)) % 1.11/1.38 (define @t3443 () (=> tptp.exuE3e @t3429)) % 1.11/1.38 (define @t3444 () (=> tptp.notinemptyset @t3443)) % 1.11/1.38 (define @t3445 () (=> tptp.emptysetimpfalse @t3444)) % 1.11/1.38 (define @t3446 () (or @t173 @t173)) % 1.11/1.38 (define @t3447 () (=> tptp.emptysetE @t3445)) % 1.11/1.38 (define @t3448 () (or @t1761 false)) % 1.11/1.38 (define @t3449 () (tptp.in @t4 @t3269)) % 1.11/1.38 (define @t3450 () (not @t3449)) % 1.11/1.38 (define @t3451 () (or @t173 @t3450 @t173)) % 1.11/1.38 (define @t3452 () (or @t3450 @t173)) % 1.11/1.38 (define @t3453 () (forall @t179 @t3452)) % 1.11/1.38 (define @t3454 () (forall @t9 @t3453)) % 1.11/1.38 (define @t3455 () (forall (@list @t4 @t173) @t3452)) % 1.11/1.38 (define @t3456 () (not @t175)) % 1.11/1.38 (define @t3457 () (or @t3456 @t173)) % 1.11/1.38 (define @t3458 () (=> tptp.prop2setE @t3447)) % 1.11/1.38 (define @t3459 () (=> @t3093 @t169)) % 1.11/1.38 (define @t3460 () (forall @t150 @t3459)) % 1.11/1.38 (define @t3461 () (=> tptp.exuE1 @t3458)) % 1.11/1.38 (define @t3462 () (or @t2668 @t1378)) % 1.11/1.38 (define @t3463 () (not @t157)) % 1.11/1.38 (define @t3464 () (or @t3463 @t144)) % 1.11/1.38 (define @t3465 () (=> tptp.dsetconstrER @t3461)) % 1.11/1.38 (define @t3466 () (or @t2668 @t1176)) % 1.11/1.38 (define @t3467 () (or @t3463 @t7)) % 1.11/1.38 (define @t3468 () (=> tptp.dsetconstrEL @t3465)) % 1.11/1.38 (define @t3469 () (or @t1177 @t1379 @t2667)) % 1.11/1.38 (define @t3470 () (or @t197 @t315 @t157)) % 1.11/1.38 (define @t3471 () (=> tptp.dsetconstrI @t3468)) % 1.11/1.38 (define @t3472 () (or @t1393 (= @t1770 @t19))) % 1.11/1.38 (define @t3473 () (forall @t70 @t3472)) % 1.11/1.38 (define @t3474 () (not @t3473)) % 1.11/1.38 (define @t3475 () (or @t1772 @t1771 @t3474)) % 1.11/1.38 (define @t3476 () (or @t1771 @t3474)) % 1.11/1.38 (define @t3477 () (or @t3476 @t1772)) % 1.11/1.38 (define @t3478 () (forall @t1773 @t3477)) % 1.11/1.38 (define @t3479 () (@list @t1770)) % 1.11/1.38 (define @t3480 () (forall @t3479 @t3477)) % 1.11/1.38 (define @t3481 () (forall @t3479 @t3476)) % 1.11/1.38 (define @t3482 () (or @t3481 @t1772)) % 1.11/1.38 (define @t3483 () (_ @t143 @t3057)) % 1.11/1.38 (define @t3484 () (or @t1634 @t3483)) % 1.11/1.38 (define @t3485 () (or @t1634 @t147)) % 1.11/1.38 (define @t3486 () (=> @t3093 @t147)) % 1.11/1.38 (define @t3487 () (forall @t150 @t3486)) % 1.11/1.38 (define @t3488 () (=> tptp.descrp @t3471)) % 1.11/1.38 (define @t3489 () (and @t1823 @t1816 @t1812 @t1800)) % 1.11/1.38 (define @t3490 () (forall @t41 (not @t3489))) % 1.11/1.38 (define @t3491 () (not @t3490)) % 1.11/1.38 (define @t3492 () (@list @t1795)) % 1.11/1.38 (define @t3493 () (forall @t3492 @t1799)) % 1.11/1.38 (define @t3494 () (forall @t3492 @t1796)) % 1.11/1.38 (define @t3495 () (or @t1798 @t3494 @t1794)) % 1.11/1.38 (define @t3496 () (forall @t9 @t1791)) % 1.11/1.38 (define @t3497 () (or @t1798 @t3496 @t1794)) % 1.11/1.38 (define @t3498 () (not @t3496)) % 1.11/1.38 (define @t3499 () (and @t1797 @t3498)) % 1.11/1.38 (define @t3500 () (not @t109)) % 1.11/1.38 (define @t3501 () (not @t110)) % 1.11/1.38 (define @t3502 () (or @t3501 @t3500 @t1789 @t1785)) % 1.11/1.38 (define @t3503 () (and @t110 @t109 @t1788 @t1784)) % 1.11/1.38 (define @t3504 () (forall @t112 (not @t3503))) % 1.11/1.38 (define @t3505 () (not @t3504)) % 1.11/1.38 (define @t3506 () (or @t1778 @t1777)) % 1.11/1.38 (define @t3507 () (or @t1781 @t3506 @t1779)) % 1.11/1.38 (define @t3508 () (forall @t1783 @t3507)) % 1.11/1.38 (define @t3509 () (@list @t1776)) % 1.11/1.38 (define @t3510 () (forall @t3509 @t3507)) % 1.11/1.38 (define @t3511 () (forall @t3509 @t3506)) % 1.11/1.38 (define @t3512 () (or @t1781 @t3511 @t1779)) % 1.11/1.38 (define @t3513 () (tptp.in @t19 @t93)) % 1.11/1.38 (define @t3514 () (forall @t70 (or (not @t3513) @t1787))) % 1.11/1.38 (define @t3515 () (not @t100)) % 1.11/1.38 (define @t3516 () (or @t3515 @t3514 @t94)) % 1.11/1.38 (define @t3517 () (or @t3514 @t94)) % 1.11/1.38 (define @t3518 () (not @t97)) % 1.11/1.38 (define @t3519 () (or @t3518 @t96)) % 1.11/1.38 (define @t3520 () (not @t105)) % 1.11/1.38 (define @t3521 () (not @t96)) % 1.11/1.38 (define @t3522 () (or @t3521 @t3520)) % 1.11/1.38 (define @t3523 () (forall @t70 (not @t106))) % 1.11/1.38 (define @t3524 () (not @t3523)) % 1.11/1.38 (define @t3525 () (forall @t9 @t3500)) % 1.11/1.38 (define @t3526 () (not @t3525)) % 1.11/1.38 (define @t3527 () (or @t3500 @t7)) % 1.11/1.38 (define @t3528 () (or @t1804 @t1803)) % 1.11/1.38 (define @t3529 () (or @t1807 @t1806)) % 1.11/1.38 (define @t3530 () (or @t1809 @t1793 @t3529 @t3528)) % 1.11/1.38 (define @t3531 () (forall @t1811 @t3530)) % 1.11/1.38 (define @t3532 () (forall (@list @t1805 @t1802) @t3530)) % 1.11/1.38 (define @t3533 () (forall (@list @t1802) @t3528)) % 1.11/1.38 (define @t3534 () (forall (@list @t1805) @t3529)) % 1.11/1.38 (define @t3535 () (or @t1809 @t1793 @t3534 @t3533)) % 1.11/1.38 (define @t3536 () (tptp.in @t4 @t95)) % 1.11/1.38 (define @t3537 () (forall @t9 (or (not @t3536) @t1790))) % 1.11/1.38 (define @t3538 () (forall @t9 (or @t1791 @t3536))) % 1.11/1.38 (define @t3539 () (not @t124)) % 1.11/1.38 (define @t3540 () (or @t3539 @t3501 @t3538 @t3537)) % 1.11/1.38 (define @t3541 () (or @t3538 @t3537)) % 1.11/1.38 (define @t3542 () (not @t120)) % 1.11/1.38 (define @t3543 () (or @t3542 @t109)) % 1.11/1.38 (define @t3544 () (or @t3500 @t120)) % 1.11/1.38 (define @t3545 () (or @t197 @t2075 @t1815 @t129)) % 1.11/1.38 (define @t3546 () (=> @t1814 @t129)) % 1.11/1.38 (define @t3547 () (or @t3539 @t130)) % 1.11/1.38 (define @t3548 () (or @t1820 @t1819)) % 1.11/1.38 (define @t3549 () (or @t1809 @t3548)) % 1.11/1.38 (define @t3550 () (forall @t1822 @t3549)) % 1.11/1.38 (define @t3551 () (@list @t1818)) % 1.11/1.38 (define @t3552 () (forall @t3551 @t3549)) % 1.11/1.38 (define @t3553 () (forall @t3551 @t3548)) % 1.11/1.38 (define @t3554 () (or @t1809 @t3553)) % 1.11/1.38 (define @t3555 () (or @t3539 @t1797)) % 1.11/1.38 (define @t3556 () (=> tptp.wellorderingAx @t3488)) % 1.11/1.38 (define @t3557 () (@list @t1831)) % 1.11/1.38 (define @t3558 () (forall @t3557 @t1833)) % 1.11/1.38 (define @t3559 () (forall @t3557 @t1832)) % 1.11/1.38 (define @t3560 () (or @t3559 @t1830)) % 1.11/1.38 (define @t3561 () (or @t3349 @t1829)) % 1.11/1.38 (define @t3562 () (and @t39 @t1828)) % 1.11/1.38 (define @t3563 () (forall @t41 (not @t3562))) % 1.11/1.38 (define @t3564 () (not @t3563)) % 1.11/1.38 (define @t3565 () (or @t435 @t197)) % 1.11/1.38 (define @t3566 () (forall @t9 (not @t84))) % 1.11/1.38 (define @t3567 () (not @t3566)) % 1.11/1.38 (define @t3568 () (=> tptp.foundationAx @t3556)) % 1.11/1.38 (define @t3569 () (= @t6 @t1837)) % 1.11/1.38 (define @t3570 () (not @t68)) % 1.11/1.38 (define @t3571 () (or @t2075 @t3570)) % 1.11/1.38 (define @t3572 () (forall @t70 (not @t69))) % 1.11/1.38 (define @t3573 () (not @t3572)) % 1.11/1.38 (define @t3574 () (or @t197 @t1846)) % 1.11/1.38 (define @t3575 () (_ @t75 @t1840)) % 1.11/1.38 (define @t3576 () (not @t3575)) % 1.11/1.38 (define @t3577 () (or @t3576 @t1843)) % 1.11/1.38 (define @t3578 () (or @t2456 @t1841)) % 1.11/1.38 (define @t3579 () (_ @t77 @t19)) % 1.11/1.38 (define @t3580 () (not @t3579)) % 1.11/1.38 (define @t3581 () (or @t3580 @t1841)) % 1.11/1.38 (define @t3582 () (forall @t70 @t3581)) % 1.11/1.38 (define @t3583 () (not @t3582)) % 1.11/1.38 (define @t3584 () (_ @t77 @t1840)) % 1.11/1.38 (define @t3585 () (not @t3584)) % 1.11/1.38 (define @t3586 () (or @t3585 @t3583)) % 1.11/1.38 (define @t3587 () (forall @t1845 @t3586)) % 1.11/1.38 (define @t3588 () (not @t3587)) % 1.11/1.38 (define @t3589 () (not (_ @t143 @t1840))) % 1.11/1.38 (define @t3590 () (or @t1393 (= @t1840 @t19))) % 1.11/1.38 (define @t3591 () (forall @t70 @t3590)) % 1.11/1.38 (define @t3592 () (not @t3591)) % 1.11/1.38 (define @t3593 () (or @t3589 @t3592)) % 1.11/1.38 (define @t3594 () (forall @t1845 @t3593)) % 1.11/1.38 (define @t3595 () (not @t3594)) % 1.11/1.38 (define @t3596 () (=> @t7 (_ @t3079 @t77))) % 1.11/1.38 (define @t3597 () (forall @t9 @t3596)) % 1.11/1.38 (define @t3598 () (=> @t3597 @t74)) % 1.11/1.38 (define @t3599 () (forall @t81 @t3598)) % 1.11/1.38 (define @t3600 () (=> tptp.replAx @t3568)) % 1.11/1.38 (define @t3601 () (or @t1852 @t1851)) % 1.11/1.38 (define @t3602 () (or @t1860 @t1858 @t3601)) % 1.11/1.38 (define @t3603 () (forall @t1862 @t3602)) % 1.11/1.38 (define @t3604 () (@list @t1850)) % 1.11/1.38 (define @t3605 () (forall @t3604 @t3602)) % 1.11/1.38 (define @t3606 () (forall @t3604 @t3601)) % 1.11/1.38 (define @t3607 () (or @t1860 @t1858 @t3606)) % 1.11/1.38 (define @t3608 () (forall @t9 (or @t1856 @t1176))) % 1.11/1.38 (define @t3609 () (not @t61)) % 1.11/1.38 (define @t3610 () (or @t3609 @t1858 @t3608)) % 1.11/1.38 (define @t3611 () (and @t61 @t1857)) % 1.11/1.38 (define @t3612 () (not @t54)) % 1.11/1.38 (define @t3613 () (or @t3612 @t7)) % 1.11/1.38 (define @t3614 () (_ tptp.in @t1853)) % 1.11/1.38 (define @t3615 () (or @t3612 @t197 @t58)) % 1.11/1.38 (define @t3616 () (=> tptp.omegaIndAx @t3600)) % 1.11/1.38 (define @t3617 () (or @t3612 @t53)) % 1.11/1.38 (define @t3618 () (=> tptp.omegaSAx @t3616)) % 1.11/1.38 (define @t3619 () (=> tptp.omega0Ax @t3618)) % 1.11/1.38 (define @t3620 () (= @t44 @t1701)) % 1.11/1.38 (define @t3621 () (forall @t41 (not @t40))) % 1.11/1.39 (define @t3622 () (not @t3621)) % 1.11/1.39 (define @t3623 () (=> tptp.setunionAx @t3619)) % 1.11/1.39 (define @t3624 () (= @t35 @t1712)) % 1.11/1.39 (define @t3625 () (=> tptp.powersetAx @t3623)) % 1.11/1.39 (define @t3626 () (= @t26 @t3370)) % 1.11/1.39 (define @t3627 () (=> tptp.setadjoinAx @t3625)) % 1.11/1.39 (define @t3628 () (=> tptp.emptysetAx @t3627)) % 1.11/1.39 (define @t3629 () (=> tptp.setextAx @t3628)) % 1.11/1.39 (define @t3630 () (or @t1168 @t1167)) % 1.11/1.39 (define @t3631 () (or @t1182 @t1179 @t3630)) % 1.11/1.39 (define @t3632 () (forall @t1184 @t3631)) % 1.11/1.39 (define @t3633 () (@list @t1166)) % 1.11/1.39 (define @t3634 () (forall @t3633 @t3631)) % 1.11/1.39 (define @t3635 () (forall @t3633 @t3630)) % 1.11/1.39 (define @t3636 () (or @t1182 @t1179 @t3635)) % 1.11/1.39 (define @t3637 () (tptp.kpair @t4 @t2344)) % 1.11/1.39 (define @t3638 () (tptp.in @t3637 @t871)) % 1.11/1.39 (define @t3639 () (forall @t9 (or @t1177 @t3638))) % 1.11/1.39 (define @t3640 () (or @t2328 @t1179 @t3639)) % 1.11/1.39 (define @t3641 () (_ @t629 @t883)) % 1.11/1.39 (define @t3642 () (_ (_ tptp.in @t3641) @t871)) % 1.11/1.39 (define @t3643 () (or @t197 @t3642)) % 1.11/1.39 (define @t3644 () (=> @t7 (_ (_ tptp.in (_ @t629 @t2354)) @t871))) % 1.11/1.39 (define @t3645 () (forall @t9 @t3644)) % 1.11/1.39 (define @t3646 () (=> @t2333 @t3645)) % 1.11/1.39 (define @t3647 () (forall @t880 @t3646)) % 1.11/1.39 (define @t3648 () (=> tptp.ex1E2 @t3647)) % 1.11/1.39 (define @t3649 () (=> tptp.brelnall2 @t3648)) % 1.11/1.39 (define @t3650 () (=> tptp.brelnall1 @t3649)) % 1.11/1.39 (define @t3651 () (=> tptp.lam2p @t3650)) % 1.11/1.39 (define @t3652 () (=> tptp.lamp @t3651)) % 1.11/1.39 (define @t3653 () (=> tptp.lamProp @t3652)) % 1.11/1.39 (define @t3654 () (=> tptp.funcinfuncset @t3653)) % 1.11/1.39 (define @t3655 () (=> tptp.ap2p @t3654)) % 1.11/1.39 (define @t3656 () (=> tptp.infuncsetfunc @t3655)) % 1.11/1.39 (define @t3657 () (=> tptp.app @t3656)) % 1.11/1.39 (define @t3658 () (=> tptp.apProp @t3657)) % 1.11/1.39 (define @t3659 () (=> tptp.funcImageSingleton @t3658)) % 1.11/1.39 (define @t3660 () (=> tptp.dpsetconstrER @t3659)) % 1.11/1.39 (define @t3661 () (=> tptp.dpsetconstrEL2 @t3660)) % 1.11/1.39 (define @t3662 () (=> tptp.dpsetconstrEL1 @t3661)) % 1.11/1.39 (define @t3663 () (=> tptp.dpsetconstrERa @t3662)) % 1.11/1.39 (define @t3664 () (=> tptp.setOfPairsIsBReln @t3663)) % 1.11/1.39 (define @t3665 () (=> tptp.dpsetconstrSub @t3664)) % 1.11/1.39 (define @t3666 () (=> tptp.dpsetconstrI @t3665)) % 1.11/1.39 (define @t3667 () (=> tptp.cartprodpairsurjEq @t3666)) % 1.11/1.39 (define @t3668 () (=> tptp.cartprodsndpairEq @t3667)) % 1.11/1.39 (define @t3669 () (=> tptp.cartprodfstpairEq @t3668)) % 1.11/1.39 (define @t3670 () (=> tptp.cartprodmempaircEq @t3669)) % 1.11/1.39 (define @t3671 () (=> tptp.cartprodpairmemER @t3670)) % 1.11/1.39 (define @t3672 () (=> tptp.cartprodpairmemEL @t3671)) % 1.11/1.39 (define @t3673 () (=> tptp.cartprodsndin @t3672)) % 1.11/1.39 (define @t3674 () (=> tptp.kpairsurjEq @t3673)) % 1.11/1.39 (define @t3675 () (=> tptp.ksndpairEq @t3674)) % 1.11/1.39 (define @t3676 () (=> tptp.ksndsingleton @t3675)) % 1.11/1.39 (define @t3677 () (=> tptp.setukpairinjR @t3676)) % 1.11/1.39 (define @t3678 () (=> tptp.setukpairinjR2 @t3677)) % 1.11/1.39 (define @t3679 () (=> tptp.upairequniteq @t3678)) % 1.11/1.39 (define @t3680 () (=> tptp.setukpairinjR1 @t3679)) % 1.11/1.39 (define @t3681 () (=> tptp.setukpairinjR12 @t3680)) % 1.11/1.39 (define @t3682 () (=> tptp.setukpairinjR11 @t3681)) % 1.11/1.39 (define @t3683 () (=> tptp.setukpairinjL @t3682)) % 1.11/1.39 (define @t3684 () (=> tptp.setukpairinjL2 @t3683)) % 1.11/1.39 (define @t3685 () (=> tptp.cartprodfstin @t3684)) % 1.11/1.39 (define @t3686 () (=> tptp.kfstpairEq @t3685)) % 1.11/1.39 (define @t3687 () (=> tptp.theprop @t3686)) % 1.11/1.39 (define @t3688 () (=> tptp.kfstsingleton @t3687)) % 1.11/1.39 (define @t3689 () (=> tptp.setukpairinjL1 @t3688)) % 1.11/1.39 (define @t3690 () (=> tptp.singletonsuniq @t3689)) % 1.11/1.39 (define @t3691 () (=> tptp.ex1I2 @t3690)) % 1.11/1.39 (define @t3692 () (=> tptp.ex1I @t3691)) % 1.11/1.39 (define @t3693 () (=> tptp.ex1E1 @t3692)) % 1.11/1.39 (define @t3694 () (=> tptp.singletonprop @t3693)) % 1.11/1.39 (define @t3695 () (=> tptp.setunionsingleton @t3694)) % 1.11/1.39 (define @t3696 () (=> tptp.setunionsingleton2 @t3695)) % 1.11/1.39 (define @t3697 () (=> tptp.setunionsingleton1 @t3696)) % 1.11/1.39 (define @t3698 () (=> tptp.setunionE2 @t3697)) % 1.11/1.39 (define @t3699 () (=> tptp.cartprodmempair @t3698)) % 1.11/1.39 (define @t3700 () (=> tptp.cartprodmempair1 @t3699)) % 1.11/1.39 (define @t3701 () (=> tptp.cartprodpairin @t3700)) % 1.11/1.39 (define @t3702 () (=> tptp.ubforcartprodlem3 @t3701)) % 1.11/1.39 (define @t3703 () (=> tptp.ubforcartprodlem2 @t3702)) % 1.11/1.39 (define @t3704 () (=> tptp.ubforcartprodlem1 @t3703)) % 1.11/1.39 (define @t3705 () (=> tptp.upairinpowunion @t3704)) % 1.11/1.39 (define @t3706 () (=> tptp.upairsubunion @t3705)) % 1.11/1.39 (define @t3707 () (=> tptp.upairset2E @t3706)) % 1.11/1.39 (define @t3708 () (=> tptp.singletoninpowunion @t3707)) % 1.11/1.39 (define @t3709 () (=> tptp.singletoninpowerset @t3708)) % 1.11/1.39 (define @t3710 () (=> tptp.singletonsubset @t3709)) % 1.11/1.39 (define @t3711 () (=> tptp.kpairp @t3710)) % 1.11/1.39 (define @t3712 () (=> tptp.kpairiskpair @t3711)) % 1.11/1.39 (define @t3713 () (=> tptp.setukpairIR @t3712)) % 1.11/1.39 (define @t3714 () (=> tptp.setukpairIL @t3713)) % 1.11/1.39 (define @t3715 () (=> tptp.secondinupair @t3714)) % 1.11/1.39 (define @t3716 () (=> tptp.symdiffIneg2 @t3715)) % 1.11/1.39 (define @t3717 () (=> tptp.symdiffIneg1 @t3716)) % 1.11/1.39 (define @t3718 () (=> tptp.symdiffI2 @t3717)) % 1.11/1.39 (define @t3719 () (=> tptp.symdiffI1 @t3718)) % 1.11/1.39 (define @t3720 () (=> tptp.symdiffE @t3719)) % 1.11/1.39 (define @t3721 () (=> tptp.setminusSubset1 @t3720)) % 1.11/1.39 (define @t3722 () (=> tptp.setminusLsub @t3721)) % 1.11/1.39 (define @t3723 () (=> tptp.setminusIRneg @t3722)) % 1.11/1.39 (define @t3724 () (=> tptp.setminusILneg @t3723)) % 1.11/1.39 (define @t3725 () (=> tptp.setminusELneg @t3724)) % 1.11/1.39 (define @t3726 () (=> tptp.setminusERneg @t3725)) % 1.11/1.39 (define @t3727 () (=> tptp.setminusSubset2 @t3726)) % 1.11/1.39 (define @t3728 () (=> tptp.setminusER @t3727)) % 1.11/1.39 (define @t3729 () (=> tptp.setminusEL @t3728)) % 1.11/1.39 (define @t3730 () (=> tptp.setminusI @t3729)) % 1.11/1.39 (define @t3731 () (=> tptp.bs114d @t3730)) % 1.11/1.39 (define @t3732 () (=> tptp.binintersectSubset1 @t3731)) % 1.11/1.39 (define @t3733 () (=> tptp.binintersectSubset4 @t3732)) % 1.11/1.39 (define @t3734 () (=> tptp.binintersectRsub @t3733)) % 1.11/1.39 (define @t3735 () (=> tptp.disjointsetsI1 @t3734)) % 1.11/1.39 (define @t3736 () (=> tptp.binintersectER @t3735)) % 1.11/1.39 (define @t3737 () (=> tptp.binintersectSubset3 @t3736)) % 1.11/1.39 (define @t3738 () (=> tptp.binintersectSubset2 @t3737)) % 1.11/1.39 (define @t3739 () (=> tptp.binintersectLsub @t3738)) % 1.11/1.39 (define @t3740 () (=> tptp.binintersectEL @t3739)) % 1.11/1.39 (define @t3741 () (=> tptp.binintersectSubset5 @t3740)) % 1.11/1.39 (define @t3742 () (=> tptp.binintersectI @t3741)) % 1.11/1.39 (define @t3743 () (=> tptp.binunionRsub @t3742)) % 1.11/1.39 (define @t3744 () (=> tptp.binunionLsub @t3743)) % 1.11/1.39 (define @t3745 () (=> tptp.binunionE @t3744)) % 1.11/1.39 (define @t3746 () (=> tptp.binunionEcases @t3745)) % 1.11/1.39 (define @t3747 () (=> tptp.binunionIR @t3746)) % 1.11/1.39 (define @t3748 () (=> tptp.upairset2IR @t3747)) % 1.11/1.39 (define @t3749 () (=> tptp.binunionIL @t3748)) % 1.11/1.39 (define @t3750 () (=> tptp.sepSubset @t3749)) % 1.11/1.39 (define @t3751 () (=> tptp.sepInPowerset @t3750)) % 1.11/1.39 (define @t3752 () (=> tptp.powersetsubset @t3751)) % 1.11/1.39 (define @t3753 () (=> tptp.inPowerset @t3752)) % 1.11/1.39 (define @t3754 () (=> tptp.powersetE1 @t3753)) % 1.11/1.39 (define @t3755 () (=> tptp.powersetI1 @t3754)) % 1.11/1.39 (define @t3756 () (=> tptp.subsetemptysetimpeq @t3755)) % 1.11/1.39 (define @t3757 () (=> tptp.setextsub @t3756)) % 1.11/1.39 (define @t3758 () (=> tptp.subset2powerset @t3757)) % 1.11/1.39 (define @t3759 () (=> tptp.setadjoinSub2 @t3758)) % 1.11/1.39 (define @t3760 () (=> tptp.setadjoinSub @t3759)) % 1.11/1.39 (define @t3761 () (=> tptp.subsetTrans @t3760)) % 1.11/1.39 (define @t3762 () (=> tptp.subsetRefl @t3761)) % 1.11/1.39 (define @t3763 () (=> tptp.notequalI2 @t3762)) % 1.11/1.39 (define @t3764 () (=> tptp.notequalI1 @t3763)) % 1.11/1.39 (define @t3765 () (=> tptp.notsubsetI @t3764)) % 1.11/1.39 (define @t3766 () (=> tptp.subsetE2 @t3765)) % 1.11/1.39 (define @t3767 () (=> tptp.subsetE @t3766)) % 1.11/1.39 (define @t3768 () (=> tptp.emptysetsubset @t3767)) % 1.11/1.39 (define @t3769 () (=> tptp.subsetI2 @t3768)) % 1.11/1.39 (define @t3770 () (=> tptp.eqimpsubset1 @t3769)) % 1.11/1.39 (define @t3771 () (=> tptp.eqimpsubset2 @t3770)) % 1.11/1.39 (define @t3772 () (=> tptp.subsetI1 @t3771)) % 1.11/1.39 (define @t3773 () (=> tptp.dsetconstr__Cong @t3772)) % 1.11/1.39 (define @t3774 () (=> tptp.descr__Cong @t3773)) % 1.11/1.39 (define @t3775 () (=> tptp.exuEu @t3774)) % 1.11/1.39 (define @t3776 () (=> tptp.omega__Cong @t3775)) % 1.11/1.39 (define @t3777 () (=> tptp.setunion__Cong @t3776)) % 1.11/1.39 (define @t3778 () (=> tptp.powerset__Cong @t3777)) % 1.11/1.39 (define @t3779 () (=> tptp.setadjoin__Cong @t3778)) % 1.11/1.39 (define @t3780 () (=> tptp.emptyset__Cong @t3779)) % 1.11/1.39 (define @t3781 () (=> tptp.exu__Cong @t3780)) % 1.11/1.39 (define @t3782 () (=> tptp.exuE3u @t3781)) % 1.11/1.39 (define @t3783 () (=> tptp.in__Cong @t3782)) % 1.11/1.39 (define @t3784 () (=> tptp.inCongP @t3783)) % 1.11/1.39 (define @t3785 () (=> tptp.exuI2 @t3784)) % 1.11/1.39 (define @t3786 () (=> tptp.exuI3 @t3785)) % 1.11/1.39 (define @t3787 () (=> tptp.exuI1 @t3786)) % 1.11/1.39 (define @t3788 () (=> tptp.notdallE @t3787)) % 1.11/1.39 (define @t3789 () (=> tptp.notdexE @t3788)) % 1.11/1.39 (define @t3790 () (=> tptp.prop2set2propI @t3789)) % 1.11/1.39 (define @t3791 () (=> tptp.prop2setI @t3790)) % 1.11/1.39 (define @t3792 () (=> tptp.quantDeMorgan4 @t3791)) % 1.11/1.39 (define @t3793 () (=> tptp.quantDeMorgan3 @t3792)) % 1.11/1.39 (define @t3794 () (=> tptp.quantDeMorgan2 @t3793)) % 1.11/1.39 (define @t3795 () (=> tptp.quantDeMorgan1 @t3794)) % 1.11/1.39 (define @t3796 () (=> tptp.vacuousDall @t3795)) % 1.11/1.39 (define @t3797 () (=> tptp.emptyE1 @t3796)) % 1.11/1.39 (define @t3798 () (=> tptp.upairsetIR @t3797)) % 1.11/1.39 (define @t3799 () (=> tptp.upairsetIL @t3798)) % 1.11/1.39 (define @t3800 () (=> tptp.upairsetE @t3799)) % 1.11/1.39 (define @t3801 () (=> tptp.singletonsswitch @t3800)) % 1.11/1.39 (define @t3802 () (=> tptp.eqinunit @t3801)) % 1.11/1.39 (define @t3803 () (=> tptp.notinsingleton @t3802)) % 1.11/1.39 (define @t3804 () (=> tptp.uniqinunit @t3803)) % 1.11/1.39 (define @t3805 () (=> tptp.nonemptyImpWitness @t3804)) % 1.11/1.39 (define @t3806 () (=> tptp.exuE2 @t3805)) % 1.11/1.39 (define @t3807 () (=> tptp.subPowSU @t3806)) % 1.11/1.39 (define @t3808 () (=> tptp.setunionE @t3807)) % 1.11/1.39 (define @t3809 () (=> tptp.setunionI @t3808)) % 1.11/1.39 (define @t3810 () (=> tptp.powersetE @t3809)) % 1.11/1.39 (define @t3811 () (=> tptp.emptyInPowerset @t3810)) % 1.11/1.39 (define @t3812 () (=> tptp.emptyinPowerset @t3811)) % 1.11/1.39 (define @t3813 () (=> tptp.powersetI @t3812)) % 1.11/1.39 (define @t3814 () (=> tptp.setoftrueEq @t3813)) % 1.11/1.39 (define @t3815 () (=> tptp.setadjoinOr @t3814)) % 1.11/1.39 (define @t3816 () (=> tptp.setadjoinE @t3815)) % 1.11/1.39 (define @t3817 () (=> tptp.setadjoinIR @t3816)) % 1.11/1.39 (define @t3818 () (=> tptp.emptyinunitempty @t3817)) % 1.11/1.39 (define @t3819 () (=> tptp.setadjoinIL @t3818)) % 1.11/1.39 (define @t3820 () (=> tptp.nonemptyI1 @t3819)) % 1.11/1.39 (define @t3821 () (=> tptp.nonemptyI @t3820)) % 1.11/1.39 (define @t3822 () (=> tptp.nonemptyE1 @t3821)) % 1.11/1.39 (define @t3823 () (=> tptp.setbeta @t3822)) % 1.11/1.39 (define @t3824 () (=> tptp.noeltsimpempty @t3823)) % 1.11/1.39 (define @t3825 () (=> tptp.emptyI @t3824)) % 1.11/1.39 (define @t3826 () (=> tptp.setext @t3825)) % 1.11/1.39 (define @t3827 () (=> tptp.exuE3e @t3826)) % 1.11/1.39 (define @t3828 () (=> tptp.notinemptyset @t3827)) % 1.11/1.39 (define @t3829 () (=> tptp.emptysetimpfalse @t3828)) % 1.11/1.39 (define @t3830 () (=> tptp.emptysetE @t3829)) % 1.11/1.39 (define @t3831 () (=> tptp.prop2setE @t3830)) % 1.11/1.39 (define @t3832 () (=> tptp.exuE1 @t3831)) % 1.11/1.39 (define @t3833 () (=> tptp.dsetconstrER @t3832)) % 1.11/1.39 (define @t3834 () (=> tptp.dsetconstrEL @t3833)) % 1.11/1.39 (define @t3835 () (=> tptp.dsetconstrI @t3834)) % 1.11/1.39 (define @t3836 () (=> tptp.descrp @t3835)) % 1.11/1.39 (define @t3837 () (=> tptp.wellorderingAx @t3836)) % 1.11/1.39 (define @t3838 () (=> tptp.foundationAx @t3837)) % 1.11/1.39 (define @t3839 () (=> tptp.replAx @t3838)) % 1.11/1.39 (define @t3840 () (=> tptp.omegaIndAx @t3839)) % 1.11/1.39 (define @t3841 () (=> tptp.omegaSAx @t3840)) % 1.11/1.39 (define @t3842 () (=> tptp.omega0Ax @t3841)) % 1.11/1.39 (define @t3843 () (=> tptp.setunionAx @t3842)) % 1.11/1.39 (define @t3844 () (=> tptp.powersetAx @t3843)) % 1.11/1.39 (define @t3845 () (=> tptp.setadjoinAx @t3844)) % 1.11/1.39 (define @t3846 () (=> tptp.emptysetAx @t3845)) % 1.11/1.39 (define @t3847 () (=> tptp.setextAx @t3846)) % 1.11/1.39 (define @t3848 () (@quantifiers_skolemize @t1185 2)) % 1.11/1.39 (define @t3849 () (@quantifiers_skolemize @t1185 3)) % 1.11/1.39 (define @t3850 () (tptp.in (tptp.kpair @t3849 @t19) @t3848)) % 1.11/1.39 (define @t3851 () (lambda @t70 @t3850)) % 1.11/1.39 (define @t3852 () (@quantifiers_skolemize @t1185 1)) % 1.11/1.39 (define @t3853 () (tptp.dsetconstr @t3852 @t3851)) % 1.11/1.39 (define @t3854 () (forall @t1258 (or (not (tptp.in @t1255 @t3853)) (not (= @t1256 @t3853))))) % 1.11/1.39 (define @t3855 () (@quantifiers_skolemize @t3854 0)) % 1.11/1.39 (define @t3856 () (@purify @t3851)) % 1.11/1.39 (define @t3857 () (@quantifiers_skolemize @t1185 0)) % 1.11/1.39 (define @t3858 () (tptp.dsetconstr @t3852 @t3856)) % 1.11/1.39 (define @t3859 () (tptp.setunion @t3858)) % 1.11/1.39 (define @t3860 () (tptp.in (tptp.kpair @t3849 @t3859) @t3848)) % 1.11/1.39 (define @t3861 () (tptp.in @t3849 @t3857)) % 1.11/1.39 (define @t3862 () (not @t3861)) % 1.11/1.39 (define @t3863 () (tptp.dsetconstr @t3852 (lambda @t70 (tptp.in @t1169 @t3848)))) % 1.11/1.39 (define @t3864 () (forall @t9 (or (not (tptp.in @t4 @t3857)) (not (forall @t1175 (or (not (tptp.in @t1173 @t3863)) (not (= @t1174 @t3863)))))))) % 1.11/1.39 (define @t3865 () (not @t3864)) % 1.11/1.39 (define @t3866 () (tptp.subset @t3848 (tptp.cartprod @t3857 @t3852))) % 1.11/1.39 (define @t3867 () (not @t3866)) % 1.11/1.39 (define @t3868 () (or @t3867 @t3865 @t3862 @t3860)) % 1.11/1.39 (define @t3869 () (not @t3868)) % 1.11/1.39 (define @t3870 () (not @t1185)) % 1.11/1.39 (define @t3871 () (tptp.setunion @t3853)) % 1.11/1.39 (define @t3872 () (tptp.kpair @t3849 @t3871)) % 1.11/1.39 (define @t3873 () (tptp.in @t3872 @t3848)) % 1.11/1.39 (define @t3874 () (or @t3867 @t3865 @t3862 @t3873)) % 1.11/1.39 (define @t3875 () (not @t3874)) % 1.11/1.39 (define @t3876 () (@list true)) % 1.11/1.39 (define @t3877 () (@list @t3868)) % 1.11/1.39 (define @t3878 () (not @t3854)) % 1.11/1.39 (define @t3879 () (or @t3867 @t3865 @t3862 @t3878)) % 1.11/1.39 (define @t3880 () (tptp.setadjoin @t3855 tptp.emptyset)) % 1.11/1.39 (define @t3881 () (= @t3858 @t3880)) % 1.11/1.39 (define @t3882 () (not @t3881)) % 1.11/1.39 (define @t3883 () (tptp.in @t3855 @t3858)) % 1.11/1.39 (define @t3884 () (not @t3883)) % 1.11/1.39 (define @t3885 () (or @t3884 @t3882)) % 1.11/1.39 (define @t3886 () (not @t3885)) % 1.11/1.39 (define @t3887 () (= @t3853 @t3880)) % 1.11/1.39 (define @t3888 () (not @t3887)) % 1.11/1.39 (define @t3889 () (tptp.in @t3855 @t3853)) % 1.11/1.39 (define @t3890 () (not @t3889)) % 1.11/1.39 (define @t3891 () (or @t3890 @t3888)) % 1.11/1.39 (define @t3892 () (not @t3891)) % 1.11/1.39 (define @t3893 () (not (= @t3880 @t3853))) % 1.11/1.39 (define @t3894 () (or @t3890 @t3893)) % 1.11/1.39 (define @t3895 () (not @t3894)) % 1.11/1.39 (define @t3896 () (@list @t3885)) % 1.11/1.39 (define @t3897 () (_ @t3856 @t3855)) % 1.11/1.39 (define @t3898 () (or @t3884 @t3897)) % 1.11/1.39 (define @t3899 () (_ @t3856 @t3859)) % 1.11/1.39 (define @t3900 () (_ @t3856 @t19)) % 1.11/1.39 (define @t3901 () (_ @t3851 @t19)) % 1.11/1.39 (define @t3902 () (= @t3900 @t3901)) % 1.11/1.39 (define @t3903 () (forall @t70 @t3902)) % 1.11/1.39 (define @t3904 () (= @t3860 @t3899)) % 1.11/1.39 (define @t3905 () (not @t3899)) % 1.11/1.39 (assume @p1 @t14) % 1.11/1.39 (assume @p2 @t18) % 1.11/1.39 (assume @p3 @t30) % 1.11/1.39 (assume @p4 @t38) % 1.11/1.39 (assume @p5 @t48) % 1.11/1.39 (assume @p6 (= tptp.omega0Ax @t50)) % 1.11/1.39 (assume @p7 @t56) % 1.11/1.39 (assume @p8 @t66) % 1.11/1.39 (assume @p9 @t83) % 1.11/1.39 (assume @p10 @t92) % 1.11/1.39 (assume @p11 @t142) % 1.11/1.39 (assume @p12 @t152) % 1.11/1.39 (assume @p13 @t161) % 1.11/1.39 (assume @p14 @t163) % 1.11/1.39 (assume @p15 @t165) % 1.11/1.39 (assume @p16 @t172) % 1.11/1.39 (assume @p17 @t178) % 1.11/1.39 (assume @p18 @t183) % 1.11/1.39 (assume @p19 @t185) % 1.11/1.39 (assume @p20 (= tptp.notinemptyset @t17)) % 1.11/1.39 (assume @p21 @t189) % 1.11/1.39 (assume @p22 @t195) % 1.11/1.39 (assume @p23 @t201) % 1.11/1.39 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.11/1.39 (assume @p25 @t204) % 1.11/1.39 (assume @p26 @t208) % 1.11/1.39 (assume @p27 @t212) % 1.11/1.39 (assume @p28 @t215) % 1.11/1.39 (assume @p29 @t219) % 1.11/1.39 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.11/1.39 (assume @p31 @t223) % 1.11/1.39 (assume @p32 @t231) % 1.11/1.39 (assume @p33 @t234) % 1.11/1.39 (assume @p34 @t238) % 1.11/1.39 (assume @p35 @t241) % 1.11/1.39 (assume @p36 @t244) % 1.11/1.39 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.11/1.39 (assume @p38 @t247) % 1.11/1.39 (assume @p39 @t251) % 1.11/1.39 (assume @p40 @t258) % 1.11/1.39 (assume @p41 @t262) % 1.11/1.39 (assume @p42 @t268) % 1.11/1.39 (assume @p43 @t273) % 1.11/1.39 (assume @p44 @t278) % 1.11/1.39 (assume @p45 @t284) % 1.11/1.39 (assume @p46 @t286) % 1.11/1.39 (assume @p47 @t288) % 1.11/1.39 (assume @p48 @t297) % 1.11/1.39 (assume @p49 @t300) % 1.11/1.39 (assume @p50 @t303) % 1.11/1.39 (assume @p51 @t311) % 1.11/1.39 (assume @p52 @t314) % 1.11/1.39 (assume @p53 @t322) % 1.11/1.39 (assume @p54 @t327) % 1.11/1.39 (assume @p55 @t330) % 1.11/1.39 (assume @p56 @t333) % 1.11/1.39 (assume @p57 @t336) % 1.11/1.39 (assume @p58 @t339) % 1.11/1.39 (assume @p59 (= tptp.notdexE @t329)) % 1.11/1.39 (assume @p60 (= tptp.notdallE @t321)) % 1.11/1.39 (assume @p61 @t342) % 1.11/1.39 (assume @p62 @t348) % 1.11/1.39 (assume @p63 @t351) % 1.11/1.39 (assume @p64 @t357) % 1.11/1.39 (assume @p65 @t362) % 1.11/1.39 (assume @p66 @t365) % 1.11/1.39 (assume @p67 @t378) % 1.11/1.39 (assume @p68 @t380) % 1.11/1.39 (assume @p69 @t390) % 1.11/1.39 (assume @p70 @t394) % 1.11/1.39 (assume @p71 @t398) % 1.11/1.39 (assume @p72 @t399) % 1.11/1.39 (assume @p73 @t400) % 1.11/1.39 (assume @p74 @t407) % 1.11/1.39 (assume @p75 @t418) % 1.11/1.39 (assume @p76 @t423) % 1.11/1.39 (assume @p77 @t427) % 1.11/1.39 (assume @p78 @t429) % 1.11/1.39 (assume @p79 (= tptp.subsetI2 @t422)) % 1.11/1.39 (assume @p80 @t432) % 1.11/1.39 (assume @p81 @t434) % 1.11/1.39 (assume @p82 @t438) % 1.11/1.39 (assume @p83 @t442) % 1.11/1.39 (assume @p84 @t445) % 1.11/1.39 (assume @p85 @t448) % 1.11/1.39 (assume @p86 @t451) % 1.11/1.39 (assume @p87 @t457) % 1.11/1.39 (assume @p88 @t461) % 1.11/1.39 (assume @p89 @t465) % 1.11/1.39 (assume @p90 @t469) % 1.11/1.39 (assume @p91 @t472) % 1.11/1.39 (assume @p92 @t475) % 1.11/1.39 (assume @p93 @t477) % 1.11/1.39 (assume @p94 @t479) % 1.11/1.39 (assume @p95 @t482) % 1.11/1.39 (assume @p96 @t485) % 1.11/1.39 (assume @p97 @t488) % 1.11/1.39 (assume @p98 @t491) % 1.11/1.39 (assume @p99 @t495) % 1.11/1.39 (assume @p100 (= tptp.upairset2IR @t302)) % 1.11/1.39 (assume @p101 @t497) % 1.11/1.39 (assume @p102 @t504) % 1.11/1.39 (assume @p103 @t507) % 1.11/1.39 (assume @p104 @t510) % 1.11/1.39 (assume @p105 @t513) % 1.11/1.39 (assume @p106 @t519) % 1.11/1.39 (assume @p107 @t526) % 1.11/1.39 (assume @p108 @t528) % 1.11/1.39 (assume @p109 @t532) % 1.11/1.39 (assume @p110 @t536) % 1.11/1.39 (assume @p111 @t540) % 1.11/1.39 (assume @p112 @t542) % 1.11/1.39 (assume @p113 @t548) % 1.11/1.39 (assume @p114 @t551) % 1.11/1.39 (assume @p115 @t554) % 1.11/1.39 (assume @p116 @t557) % 1.11/1.39 (assume @p117 @t564) % 1.11/1.39 (assume @p118 @t569) % 1.11/1.39 (assume @p119 @t571) % 1.11/1.39 (assume @p120 @t573) % 1.11/1.39 (assume @p121 @t577) % 1.11/1.39 (assume @p122 @t580) % 1.11/1.39 (assume @p123 @t582) % 1.11/1.39 (assume @p124 @t584) % 1.11/1.39 (assume @p125 @t586) % 1.11/1.39 (assume @p126 @t589) % 1.11/1.39 (assume @p127 @t592) % 1.11/1.39 (assume @p128 @t602) % 1.11/1.39 (assume @p129 @t605) % 1.11/1.39 (assume @p130 @t608) % 1.11/1.39 (assume @p131 @t612) % 1.11/1.39 (assume @p132 @t615) % 1.11/1.39 (assume @p133 (= tptp.secondinupair @t302)) % 1.11/1.39 (assume @p134 @t622) % 1.11/1.39 (assume @p135 @t625) % 1.11/1.39 (assume @p136 @t628) % 1.11/1.39 (assume @p137 @t633) % 1.11/1.39 (assume @p138 @t636) % 1.11/1.39 (assume @p139 @t640) % 1.11/1.39 (assume @p140 @t644) % 1.11/1.39 (assume @p141 (= tptp.upairset2E @t296)) % 1.11/1.39 (assume @p142 @t649) % 1.11/1.39 (assume @p143 @t654) % 1.11/1.39 (assume @p144 @t659) % 1.11/1.39 (assume @p145 @t665) % 1.11/1.39 (assume @p146 @t671) % 1.11/1.39 (assume @p147 @t677) % 1.11/1.39 (assume @p148 @t688) % 1.11/1.39 (assume @p149 @t691) % 1.11/1.39 (assume @p150 @t700) % 1.11/1.39 (assume @p151 @t705) % 1.11/1.39 (assume @p152 @t708) % 1.11/1.39 (assume @p153 @t711) % 1.11/1.39 (assume @p154 @t719) % 1.11/1.39 (assume @p155 @t724) % 1.11/1.39 (assume @p156 @t732) % 1.11/1.39 (assume @p157 @t736) % 1.11/1.39 (assume @p158 @t739) % 1.11/1.39 (assume @p159 @t745) % 1.11/1.39 (assume @p160 @t753) % 1.11/1.39 (assume @p161 @t758) % 1.11/1.39 (assume @p162 @t762) % 1.11/1.39 (assume @p163 @t766) % 1.11/1.39 (assume @p164 @t774) % 1.11/1.39 (assume @p165 @t778) % 1.11/1.39 (assume @p166 @t781) % 1.11/1.39 (assume @p167 @t785) % 1.11/1.39 (assume @p168 @t789) % 1.11/1.39 (assume @p169 @t792) % 1.11/1.39 (assume @p170 @t794) % 1.11/1.39 (assume @p171 @t796) % 1.11/1.39 (assume @p172 @t802) % 1.11/1.39 (assume @p173 @t806) % 1.11/1.39 (assume @p174 @t812) % 1.11/1.39 (assume @p175 @t815) % 1.11/1.39 (assume @p176 @t818) % 1.11/1.39 (assume @p177 @t820) % 1.11/1.39 (assume @p178 @t825) % 1.11/1.39 (assume @p179 @t830) % 1.11/1.39 (assume @p180 @t835) % 1.11/1.39 (assume @p181 @t838) % 1.11/1.39 (assume @p182 @t849) % 1.11/1.39 (assume @p183 @t855) % 1.11/1.39 (assume @p184 @t858) % 1.11/1.39 (assume @p185 @t863) % 1.11/1.39 (assume @p186 @t866) % 1.11/1.39 (assume @p187 @t868) % 1.11/1.39 (assume @p188 @t870) % 1.11/1.39 (assume @p189 @t882) % 1.11/1.39 (assume @p190 @t888) % 1.11/1.39 (assume @p191 @t894) % 1.11/1.39 (assume @p192 @t900) % 1.11/1.39 (assume @p193 @t903) % 1.11/1.39 (assume @p194 @t906) % 1.11/1.39 (assume @p195 @t916) % 1.11/1.39 (assume @p196 @t921) % 1.11/1.39 (assume @p197 @t924) % 1.11/1.39 (assume @p198 @t940) % 1.11/1.39 (assume @p199 @t941) % 1.11/1.39 (assume @p200 @t944) % 1.11/1.39 (assume @p201 @t1149) % 1.11/1.39 (assume @p202 true) % 1.11/1.39 (step @p203 (= tptp.exu @t1150) :rule refl :args (@t1150)) % 1.11/1.39 (step @p204 (= tptp.nonempty @t1151) :rule refl :args (@t1151)) % 1.11/1.39 (step @p205 (= tptp.singleton @t1155) :rule refl :args (@t1155)) % 1.11/1.39 (step @p206 (= tptp.ex1 @t1156) :rule refl :args (@t1156)) % 1.11/1.39 (step @p207 (= tptp.breln @t1158) :rule refl :args (@t1158)) % 1.11/1.39 (step @p208 (= tptp.func @t1163) :rule refl :args (@t1163)) % 1.11/1.39 (step @p209 (= tptp.ap @t1164) :rule refl :args (@t1164)) % 1.11/1.39 (step @p210 (= tptp.lam @t1165) :rule refl :args (@t1165)) % 1.11/1.39 (step @p211 :rule evaluate :args ((= false true))) % 1.11/1.39 (step @p212 :rule refl :args (@t1647)) % 1.11/1.39 (step @p213 :rule skolem_intro :args ((@purify true))) % 1.11/1.39 (step @p214 :rule symm :premises (@p213)) % 1.11/1.39 (step @p215 :rule cong :premises (@p214) :args (@t1648)) % 1.11/1.39 (step @p216 :rule cong :premises (@p215) :args (@t1649)) % 1.11/1.39 (step @p217 :rule cong :premises (@p216 @p212) :args (@t1650)) % 1.11/1.39 (step @p218 :rule refl :args (tptp.emptyset)) % 1.11/1.39 (step @p219 :rule cong :premises (@p218 @p215) :args (@t1651)) % 1.11/1.39 (step @p220 :rule cong :premises (@p219 @p217) :args (@t1652)) % 1.11/1.39 (step @p221 :rule refl :args (@t1655)) % 1.11/1.39 (step @p222 :rule cong :premises (@p221 @p220) :args (@t1656)) % 1.11/1.39 (step @p223 :rule refl :args (@t1663)) % 1.11/1.39 (step @p224 :rule cong :premises (@p223 @p222) :args (@t1664)) % 1.11/1.39 (step @p225 :rule refl :args (@t1489)) % 1.11/1.39 (step @p226 :rule cong :premises (@p225 @p224) :args (@t1665)) % 1.11/1.39 (step @p227 :rule refl :args (@t1667)) % 1.11/1.39 (step @p228 :rule cong :premises (@p227 @p226) :args (@t1668)) % 1.11/1.39 (step @p229 :rule refl :args (@t1471)) % 1.11/1.39 (step @p230 :rule cong :premises (@p229 @p228) :args (@t1669)) % 1.11/1.39 (step @p231 :rule refl :args (@t1673)) % 1.11/1.39 (step @p232 :rule cong :premises (@p231 @p230) :args (@t1674)) % 1.11/1.39 (step @p233 :rule refl :args (@t1676)) % 1.11/1.39 (step @p234 :rule cong :premises (@p233 @p232) :args (@t1677)) % 1.11/1.39 (step @p235 :rule refl :args (@t1678)) % 1.11/1.39 (step @p236 :rule cong :premises (@p235 @p234) :args (@t1679)) % 1.11/1.39 (step @p237 :rule refl :args (@t1680)) % 1.11/1.39 (step @p238 :rule cong :premises (@p237 @p236) :args (@t1681)) % 1.11/1.39 (step @p239 :rule refl :args (@t1684)) % 1.11/1.39 (step @p240 :rule cong :premises (@p239 @p238) :args (@t1685)) % 1.11/1.39 (step @p241 :rule refl :args (@t1692)) % 1.11/1.39 (step @p242 :rule cong :premises (@p241 @p240) :args (@t1693)) % 1.11/1.39 (step @p243 :rule refl :args (@t1696)) % 1.11/1.39 (step @p244 :rule cong :premises (@p243 @p242) :args (@t1697)) % 1.11/1.39 (step @p245 :rule refl :args (@t1702)) % 1.11/1.39 (step @p246 :rule cong :premises (@p245 @p244) :args (@t1703)) % 1.11/1.39 (step @p247 :rule refl :args (@t1704)) % 1.11/1.39 (step @p248 :rule cong :premises (@p247 @p246) :args (@t1705)) % 1.11/1.39 (step @p249 :rule refl :args (@t1706)) % 1.11/1.39 (step @p250 :rule cong :premises (@p249 @p248) :args (@t1707)) % 1.11/1.39 (step @p251 :rule refl :args (@t1709)) % 1.11/1.39 (step @p252 :rule cong :premises (@p251 @p250) :args (@t1710)) % 1.11/1.39 (step @p253 :rule cong :premises (@p251 @p252) :args (@t1711)) % 1.11/1.39 (step @p254 :rule refl :args (@t1714)) % 1.11/1.39 (step @p255 :rule cong :premises (@p254 @p253) :args (@t1715)) % 1.11/1.39 (step @p256 :rule refl :args (@t1719)) % 1.11/1.39 (step @p257 :rule cong :premises (@p256 @p255) :args (@t1720)) % 1.11/1.39 (step @p258 :rule refl :args (@t1722)) % 1.11/1.39 (step @p259 :rule cong :premises (@p258 @p257) :args (@t1723)) % 1.11/1.39 (step @p260 :rule cong :premises (@p258 @p259) :args (@t1724)) % 1.11/1.39 (step @p261 :rule refl :args (@t1725)) % 1.11/1.39 (step @p262 :rule cong :premises (@p261 @p260) :args (@t1726)) % 1.11/1.39 (step @p263 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.11/1.39 (step @p264 :rule refl :args (@t1727)) % 1.11/1.39 (step @p265 :rule refl :args (tptp.emptyset)) % 1.11/1.39 (step @p266 :rule cong :premises (@p265 @p264) :args (@t1728)) % 1.11/1.39 (step @p267 :rule trans :premises (@p266 @p263)) % 1.11/1.39 (step @p268 :rule refl :args (@t49)) % 1.11/1.39 (step @p269 :rule ho_cong :premises (@p268 @p264)) % 1.11/1.39 (step @p270 :rule cong :premises (@p269 @p267) :args ((= (_ @t49 @t1727) @t1728))) % 1.11/1.39 (step @p271 :rule symm :premises (@p270)) % 1.11/1.39 (step @p272 :rule refl :args (@t221)) % 1.11/1.39 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 1.11/1.39 (step @p274 :rule refl :args (@t220)) % 1.11/1.39 (step @p275 :rule cong :premises (@p274 @p264) :args ((= @t220 @t1727))) % 1.11/1.39 (step @p276 :rule symm :premises (@p275)) % 1.11/1.39 (step @p277 :rule eq_resolve :premises (@p274 @p276)) % 1.11/1.39 (step @p278 :rule refl :args (@t49)) % 1.11/1.39 (step @p279 :rule ho_cong :premises (@p278 @p277)) % 1.11/1.39 (step @p280 :rule trans :premises (@p279 @p273)) % 1.11/1.39 (step @p281 :rule cong :premises (@p280 @p262) :args (@t1729)) % 1.11/1.39 (step @p282 :rule refl :args (@t1732)) % 1.11/1.39 (step @p283 :rule cong :premises (@p282 @p281) :args (@t1733)) % 1.11/1.39 (step @p284 :rule refl :args (@t1737)) % 1.11/1.39 (step @p285 :rule cong :premises (@p284 @p283) :args (@t1738)) % 1.11/1.39 (step @p286 :rule refl :args (@t1739)) % 1.11/1.39 (step @p287 :rule cong :premises (@p286 @p285) :args (@t1740)) % 1.11/1.39 (step @p288 :rule cong :premises (@p239 @p287) :args (@t1741)) % 1.11/1.39 (step @p289 :rule refl :args (@t1742)) % 1.11/1.39 (step @p290 :rule cong :premises (@p289 @p288) :args (@t1743)) % 1.11/1.39 (step @p291 :rule refl :args (@t1744)) % 1.11/1.39 (step @p292 :rule cong :premises (@p291 @p290) :args (@t1745)) % 1.11/1.39 (step @p293 :rule cong :premises (@p291 @p292) :args (@t1746)) % 1.11/1.39 (step @p294 :rule refl :args (@t1748)) % 1.11/1.39 (step @p295 :rule cong :premises (@p294 @p293) :args (@t1749)) % 1.11/1.39 (step @p296 :rule refl :args (@t1755)) % 1.11/1.39 (step @p297 :rule cong :premises (@p296 @p295) :args (@t1756)) % 1.11/1.39 (step @p298 :rule refl :args (@t1757)) % 1.11/1.39 (step @p299 :rule cong :premises (@p298 @p297) :args (@t1758)) % 1.11/1.39 (step @p300 :rule cong :premises (@p298 @p299) :args (@t1759)) % 1.11/1.39 (step @p301 :rule cong :premises (@p298 @p300) :args (@t1760)) % 1.11/1.39 (step @p302 :rule refl :args (@t1762)) % 1.11/1.39 (step @p303 :rule cong :premises (@p302 @p301) :args (@t1763)) % 1.11/1.39 (step @p304 :rule refl :args (@t1764)) % 1.11/1.39 (step @p305 :rule cong :premises (@p304 @p303) :args (@t1765)) % 1.11/1.39 (step @p306 :rule refl :args (@t1766)) % 1.11/1.39 (step @p307 :rule cong :premises (@p306 @p305) :args (@t1767)) % 1.11/1.39 (step @p308 :rule refl :args (@t1768)) % 1.11/1.39 (step @p309 :rule cong :premises (@p308 @p307) :args (@t1769)) % 1.11/1.39 (step @p310 :rule refl :args (@t1774)) % 1.11/1.39 (step @p311 :rule cong :premises (@p310 @p309) :args (@t1775)) % 1.11/1.39 (step @p312 :rule refl :args (@t1826)) % 1.11/1.39 (step @p313 :rule cong :premises (@p312 @p311) :args (@t1827)) % 1.11/1.39 (step @p314 :rule refl :args (@t1834)) % 1.11/1.39 (step @p315 :rule cong :premises (@p314 @p313) :args (@t1835)) % 1.11/1.39 (step @p316 :rule refl :args (@t1848)) % 1.11/1.39 (step @p317 :rule cong :premises (@p316 @p315) :args (@t1849)) % 1.11/1.39 (step @p318 :rule refl :args (@t1863)) % 1.11/1.39 (step @p319 :rule cong :premises (@p318 @p317) :args (@t1864)) % 1.11/1.39 (step @p320 :rule refl :args (@t1866)) % 1.11/1.39 (step @p321 :rule cong :premises (@p320 @p319) :args (@t1867)) % 1.11/1.39 (step @p322 :rule refl :args (@t1868)) % 1.11/1.39 (step @p323 :rule refl :args (@t50)) % 1.11/1.39 (step @p324 :rule cong :premises (@p323 @p322) :args ((= @t50 @t1868))) % 1.11/1.39 (step @p325 :rule symm :premises (@p324)) % 1.11/1.39 (step @p326 :rule eq_resolve :premises (@p323 @p325)) % 1.11/1.39 (step @p327 :rule cong :premises (@p326 @p321) :args (@t1869)) % 1.11/1.39 (step @p328 :rule refl :args (@t1870)) % 1.11/1.39 (step @p329 :rule cong :premises (@p328 @p327) :args (@t1871)) % 1.11/1.39 (step @p330 :rule refl :args (@t1872)) % 1.11/1.39 (step @p331 :rule cong :premises (@p330 @p329) :args (@t1873)) % 1.11/1.39 (step @p332 :rule refl :args (@t1875)) % 1.11/1.39 (step @p333 :rule cong :premises (@p332 @p331) :args (@t1876)) % 1.11/1.39 (step @p334 :rule cong :premises (@p298 @p333) :args (@t1877)) % 1.11/1.39 (step @p335 :rule refl :args (@t1879)) % 1.11/1.39 (step @p336 :rule cong :premises (@p335 @p334) :args (@t1880)) % 1.11/1.39 (step @p337 :rule cong :premises (@p336) :args ((not @t1880))) % 1.11/1.39 (step @p338 :rule bool-impl-true2 :args (@t1295)) % 1.11/1.39 (step @p339 :rule refl :args (@t1298)) % 1.11/1.39 (step @p340 :rule cong :premises (@p339 @p338) :args (@t1881)) % 1.11/1.39 (step @p341 :rule refl :args (@t1299)) % 1.11/1.39 (step @p342 :rule cong :premises (@p341 @p340) :args (@t1882)) % 1.11/1.39 (step @p343 :rule refl :args (@t1301)) % 1.11/1.39 (step @p344 :rule cong :premises (@p343 @p342) :args (@t1883)) % 1.11/1.39 (step @p345 :rule refl :args (@t1304)) % 1.11/1.39 (step @p346 :rule cong :premises (@p345 @p344) :args (@t1884)) % 1.11/1.39 (step @p347 :rule refl :args (@t1307)) % 1.11/1.39 (step @p348 :rule cong :premises (@p347 @p346) :args (@t1885)) % 1.11/1.39 (step @p349 :rule refl :args (@t1317)) % 1.11/1.39 (step @p350 :rule cong :premises (@p349 @p348) :args (@t1886)) % 1.11/1.39 (step @p351 :rule refl :args (@t1320)) % 1.11/1.39 (step @p352 :rule cong :premises (@p351 @p350) :args (@t1887)) % 1.11/1.39 (step @p353 :rule refl :args (@t1331)) % 1.11/1.39 (step @p354 :rule cong :premises (@p353 @p352) :args (@t1888)) % 1.11/1.39 (step @p355 :rule refl :args (@t1332)) % 1.11/1.39 (step @p356 :rule cong :premises (@p355 @p354) :args (@t1889)) % 1.11/1.39 (step @p357 :rule refl :args (@t1336)) % 1.11/1.39 (step @p358 :rule cong :premises (@p357 @p356) :args (@t1890)) % 1.11/1.39 (step @p359 :rule refl :args (@t1339)) % 1.11/1.39 (step @p360 :rule cong :premises (@p359 @p358) :args (@t1891)) % 1.11/1.39 (step @p361 :rule refl :args (@t1341)) % 1.11/1.39 (step @p362 :rule cong :premises (@p361 @p360) :args (@t1892)) % 1.11/1.39 (step @p363 :rule refl :args (@t1342)) % 1.11/1.39 (step @p364 :rule cong :premises (@p363 @p362) :args (@t1893)) % 1.11/1.39 (step @p365 :rule refl :args (@t1343)) % 1.11/1.39 (step @p366 :rule cong :premises (@p365 @p364) :args (@t1894)) % 1.11/1.39 (step @p367 :rule refl :args (@t1345)) % 1.11/1.39 (step @p368 :rule cong :premises (@p367 @p366) :args (@t1895)) % 1.11/1.39 (step @p369 :rule refl :args (@t1348)) % 1.11/1.39 (step @p370 :rule cong :premises (@p369 @p368) :args (@t1896)) % 1.11/1.39 (step @p371 :rule refl :args (@t1355)) % 1.11/1.39 (step @p372 :rule cong :premises (@p371 @p370) :args (@t1897)) % 1.11/1.39 (step @p373 :rule refl :args (@t1363)) % 1.11/1.39 (step @p374 :rule cong :premises (@p373 @p372) :args (@t1898)) % 1.11/1.39 (step @p375 :rule refl :args (@t1365)) % 1.11/1.39 (step @p376 :rule cong :premises (@p375 @p374) :args (@t1899)) % 1.11/1.39 (step @p377 :rule refl :args (@t1366)) % 1.11/1.39 (step @p378 :rule cong :premises (@p377 @p376) :args (@t1900)) % 1.11/1.39 (step @p379 :rule refl :args (@t1386)) % 1.11/1.39 (step @p380 :rule cong :premises (@p379 @p378) :args (@t1901)) % 1.11/1.39 (step @p381 :rule refl :args (@t1398)) % 1.11/1.39 (step @p382 :rule cong :premises (@p381 @p380) :args (@t1902)) % 1.11/1.39 (step @p383 :rule refl :args (@t1405)) % 1.11/1.39 (step @p384 :rule cong :premises (@p383 @p382) :args (@t1903)) % 1.11/1.39 (step @p385 :rule cong :premises (@p379 @p384) :args (@t1904)) % 1.11/1.39 (step @p386 :rule refl :args (@t1407)) % 1.11/1.39 (step @p387 :rule cong :premises (@p386 @p385) :args (@t1905)) % 1.11/1.39 (step @p388 :rule refl :args (@t1411)) % 1.11/1.39 (step @p389 :rule cong :premises (@p388 @p387) :args (@t1906)) % 1.11/1.39 (step @p390 :rule refl :args (@t1413)) % 1.11/1.39 (step @p391 :rule cong :premises (@p390 @p389) :args (@t1907)) % 1.11/1.39 (step @p392 :rule refl :args (@t1421)) % 1.11/1.39 (step @p393 :rule cong :premises (@p392 @p391) :args (@t1908)) % 1.11/1.39 (step @p394 :rule refl :args (@t1422)) % 1.11/1.39 (step @p395 :rule cong :premises (@p394 @p393) :args (@t1909)) % 1.11/1.39 (step @p396 :rule refl :args (@t1429)) % 1.11/1.39 (step @p397 :rule cong :premises (@p396 @p395) :args (@t1910)) % 1.11/1.39 (step @p398 :rule refl :args (@t1435)) % 1.11/1.39 (step @p399 :rule cong :premises (@p398 @p397) :args (@t1911)) % 1.11/1.39 (step @p400 :rule refl :args (@t1444)) % 1.11/1.39 (step @p401 :rule cong :premises (@p400 @p399) :args (@t1912)) % 1.11/1.39 (step @p402 :rule refl :args (@t1450)) % 1.11/1.39 (step @p403 :rule cong :premises (@p402 @p401) :args (@t1913)) % 1.11/1.39 (step @p404 :rule refl :args (@t1456)) % 1.11/1.39 (step @p405 :rule cong :premises (@p404 @p403) :args (@t1914)) % 1.11/1.39 (step @p406 :rule refl :args (@t1462)) % 1.11/1.39 (step @p407 :rule cong :premises (@p406 @p405) :args (@t1915)) % 1.11/1.39 (step @p408 :rule refl :args (@t1468)) % 1.11/1.39 (step @p409 :rule cong :premises (@p408 @p407) :args (@t1916)) % 1.11/1.39 (step @p410 :rule cong :premises (@p229 @p409) :args (@t1917)) % 1.11/1.39 (step @p411 :rule refl :args (@t1473)) % 1.11/1.39 (step @p412 :rule cong :premises (@p411 @p410) :args (@t1918)) % 1.11/1.39 (step @p413 :rule refl :args (@t1476)) % 1.11/1.39 (step @p414 :rule cong :premises (@p413 @p412) :args (@t1919)) % 1.11/1.39 (step @p415 :rule refl :args (@t1478)) % 1.11/1.39 (step @p416 :rule cong :premises (@p415 @p414) :args (@t1920)) % 1.11/1.39 (step @p417 :rule refl :args (@t1480)) % 1.11/1.39 (step @p418 :rule cong :premises (@p417 @p416) :args (@t1921)) % 1.11/1.39 (step @p419 :rule refl :args (@t1482)) % 1.11/1.39 (step @p420 :rule cong :premises (@p419 @p418) :args (@t1922)) % 1.11/1.39 (step @p421 :rule refl :args (@t1485)) % 1.11/1.39 (step @p422 :rule cong :premises (@p421 @p420) :args (@t1923)) % 1.11/1.39 (step @p423 :rule refl :args (@t1487)) % 1.11/1.39 (step @p424 :rule cong :premises (@p423 @p422) :args (@t1924)) % 1.11/1.39 (step @p425 :rule cong :premises (@p225 @p424) :args (@t1925)) % 1.11/1.39 (step @p426 :rule refl :args (@t1494)) % 1.11/1.39 (step @p427 :rule cong :premises (@p426 @p425) :args (@t1926)) % 1.11/1.39 (step @p428 :rule refl :args (@t1496)) % 1.11/1.39 (step @p429 :rule cong :premises (@p428 @p427) :args (@t1927)) % 1.11/1.39 (step @p430 :rule refl :args (@t1497)) % 1.11/1.39 (step @p431 :rule cong :premises (@p430 @p429) :args (@t1928)) % 1.11/1.39 (step @p432 :rule refl :args (@t1498)) % 1.11/1.39 (step @p433 :rule cong :premises (@p432 @p431) :args (@t1929)) % 1.11/1.39 (step @p434 :rule refl :args (@t1501)) % 1.11/1.39 (step @p435 :rule cong :premises (@p434 @p433) :args (@t1930)) % 1.11/1.39 (step @p436 :rule refl :args (@t1505)) % 1.11/1.39 (step @p437 :rule cong :premises (@p436 @p435) :args (@t1931)) % 1.11/1.39 (step @p438 :rule refl :args (@t1507)) % 1.11/1.39 (step @p439 :rule cong :premises (@p438 @p437) :args (@t1932)) % 1.11/1.39 (step @p440 :rule refl :args (@t1510)) % 1.11/1.39 (step @p441 :rule cong :premises (@p440 @p439) :args (@t1933)) % 1.11/1.39 (step @p442 :rule refl :args (@t1511)) % 1.11/1.39 (step @p443 :rule cong :premises (@p442 @p441) :args (@t1934)) % 1.11/1.39 (step @p444 :rule refl :args (@t1512)) % 1.11/1.39 (step @p445 :rule cong :premises (@p444 @p443) :args (@t1935)) % 1.11/1.39 (step @p446 :rule refl :args (@t1513)) % 1.11/1.39 (step @p447 :rule cong :premises (@p446 @p445) :args (@t1936)) % 1.11/1.39 (step @p448 :rule refl :args (@t1515)) % 1.11/1.39 (step @p449 :rule cong :premises (@p448 @p447) :args (@t1937)) % 1.11/1.39 (step @p450 :rule refl :args (@t1516)) % 1.11/1.39 (step @p451 :rule cong :premises (@p450 @p449) :args (@t1938)) % 1.11/1.39 (step @p452 :rule refl :args (@t1517)) % 1.11/1.39 (step @p453 :rule cong :premises (@p452 @p451) :args (@t1939)) % 1.11/1.39 (step @p454 :rule refl :args (@t1518)) % 1.11/1.39 (step @p455 :rule cong :premises (@p454 @p453) :args (@t1940)) % 1.11/1.39 (step @p456 :rule refl :args (@t1524)) % 1.11/1.39 (step @p457 :rule cong :premises (@p456 @p455) :args (@t1941)) % 1.11/1.39 (step @p458 :rule refl :args (@t1526)) % 1.11/1.39 (step @p459 :rule cong :premises (@p458 @p457) :args (@t1942)) % 1.11/1.39 (step @p460 :rule refl :args (@t1530)) % 1.11/1.39 (step @p461 :rule cong :premises (@p460 @p459) :args (@t1943)) % 1.11/1.39 (step @p462 :rule refl :args (@t1532)) % 1.11/1.39 (step @p463 :rule cong :premises (@p462 @p461) :args (@t1944)) % 1.11/1.39 (step @p464 :rule refl :args (@t1535)) % 1.11/1.39 (step @p465 :rule cong :premises (@p464 @p463) :args (@t1945)) % 1.11/1.39 (step @p466 :rule refl :args (@t1538)) % 1.11/1.39 (step @p467 :rule cong :premises (@p466 @p465) :args (@t1946)) % 1.11/1.39 (step @p468 :rule refl :args (@t1539)) % 1.11/1.39 (step @p469 :rule cong :premises (@p468 @p467) :args (@t1947)) % 1.11/1.39 (step @p470 :rule refl :args (@t1540)) % 1.11/1.39 (step @p471 :rule cong :premises (@p470 @p469) :args (@t1948)) % 1.11/1.39 (step @p472 :rule refl :args (@t1542)) % 1.11/1.39 (step @p473 :rule cong :premises (@p472 @p471) :args (@t1949)) % 1.11/1.39 (step @p474 :rule refl :args (@t1543)) % 1.11/1.39 (step @p475 :rule cong :premises (@p474 @p473) :args (@t1950)) % 1.11/1.39 (step @p476 :rule refl :args (@t1547)) % 1.11/1.39 (step @p477 :rule cong :premises (@p476 @p475) :args (@t1951)) % 1.11/1.39 (step @p478 :rule refl :args (@t1548)) % 1.11/1.39 (step @p479 :rule cong :premises (@p478 @p477) :args (@t1952)) % 1.11/1.39 (step @p480 :rule refl :args (@t1550)) % 1.11/1.39 (step @p481 :rule cong :premises (@p480 @p479) :args (@t1953)) % 1.11/1.39 (step @p482 :rule refl :args (@t1552)) % 1.11/1.39 (step @p483 :rule cong :premises (@p482 @p481) :args (@t1954)) % 1.11/1.39 (step @p484 :rule refl :args (@t1555)) % 1.11/1.39 (step @p485 :rule cong :premises (@p484 @p483) :args (@t1955)) % 1.11/1.39 (step @p486 :rule cong :premises (@p484 @p485) :args (@t1956)) % 1.11/1.39 (step @p487 :rule refl :args (@t1556)) % 1.11/1.39 (step @p488 :rule cong :premises (@p487 @p486) :args (@t1957)) % 1.11/1.39 (step @p489 :rule cong :premises (@p225 @p488) :args (@t1958)) % 1.11/1.39 (step @p490 :rule refl :args (@t1557)) % 1.11/1.39 (step @p491 :rule cong :premises (@p490 @p489) :args (@t1959)) % 1.11/1.39 (step @p492 :rule refl :args (@t1558)) % 1.11/1.39 (step @p493 :rule cong :premises (@p492 @p491) :args (@t1960)) % 1.11/1.39 (step @p494 :rule refl :args (@t1559)) % 1.11/1.39 (step @p495 :rule cong :premises (@p494 @p493) :args (@t1961)) % 1.11/1.39 (step @p496 :rule refl :args (@t1562)) % 1.11/1.39 (step @p497 :rule cong :premises (@p496 @p495) :args (@t1962)) % 1.11/1.39 (step @p498 :rule refl :args (@t1564)) % 1.11/1.39 (step @p499 :rule cong :premises (@p498 @p497) :args (@t1963)) % 1.11/1.39 (step @p500 :rule refl :args (@t1567)) % 1.11/1.39 (step @p501 :rule cong :premises (@p500 @p499) :args (@t1964)) % 1.11/1.39 (step @p502 :rule refl :args (@t1568)) % 1.11/1.39 (step @p503 :rule cong :premises (@p502 @p501) :args (@t1965)) % 1.11/1.39 (step @p504 :rule refl :args (@t1570)) % 1.11/1.39 (step @p505 :rule cong :premises (@p504 @p503) :args (@t1966)) % 1.11/1.39 (step @p506 :rule refl :args (@t1571)) % 1.11/1.39 (step @p507 :rule cong :premises (@p506 @p505) :args (@t1967)) % 1.11/1.39 (step @p508 :rule refl :args (@t1573)) % 1.11/1.39 (step @p509 :rule cong :premises (@p508 @p507) :args (@t1968)) % 1.11/1.39 (step @p510 :rule refl :args (@t1576)) % 1.11/1.39 (step @p511 :rule cong :premises (@p510 @p509) :args (@t1969)) % 1.11/1.39 (step @p512 :rule refl :args (@t1579)) % 1.11/1.39 (step @p513 :rule cong :premises (@p512 @p511) :args (@t1970)) % 1.11/1.39 (step @p514 :rule refl :args (@t1582)) % 1.11/1.39 (step @p515 :rule cong :premises (@p514 @p513) :args (@t1971)) % 1.11/1.39 (step @p516 :rule refl :args (@t1584)) % 1.11/1.39 (step @p517 :rule cong :premises (@p516 @p515) :args (@t1972)) % 1.11/1.39 (step @p518 :rule bool-impl-true2 :args (@t1972)) % 1.11/1.39 (step @p519 :rule trans :premises (@p518 @p517)) % 1.11/1.39 (step @p520 :rule refl :args (@t1586)) % 1.11/1.39 (step @p521 :rule cong :premises (@p520 @p519) :args (@t1973)) % 1.11/1.39 (step @p522 :rule refl :args (@t1587)) % 1.11/1.39 (step @p523 :rule cong :premises (@p522 @p521) :args (@t1974)) % 1.11/1.39 (step @p524 :rule refl :args (@t1588)) % 1.11/1.39 (step @p525 :rule cong :premises (@p524 @p523) :args (@t1975)) % 1.11/1.39 (step @p526 :rule refl :args (@t1589)) % 1.11/1.39 (step @p527 :rule cong :premises (@p526 @p525) :args (@t1976)) % 1.11/1.39 (step @p528 :rule refl :args (@t1591)) % 1.11/1.39 (step @p529 :rule cong :premises (@p528 @p527) :args (@t1977)) % 1.11/1.39 (step @p530 :rule refl :args (@t1594)) % 1.11/1.39 (step @p531 :rule cong :premises (@p530 @p529) :args (@t1978)) % 1.11/1.39 (step @p532 :rule cong :premises (@p520 @p531) :args (@t1979)) % 1.11/1.39 (step @p533 :rule cong :premises (@p520 @p532) :args (@t1980)) % 1.11/1.39 (step @p534 :rule cong :premises (@p530 @p533) :args (@t1981)) % 1.11/1.39 (step @p535 :rule refl :args (@t1605)) % 1.11/1.39 (step @p536 :rule cong :premises (@p535 @p534) :args (@t1982)) % 1.11/1.39 (step @p537 :rule refl :args (@t1618)) % 1.11/1.39 (step @p538 :rule cong :premises (@p537 @p536) :args (@t1983)) % 1.11/1.39 (step @p539 :rule refl :args (@t1627)) % 1.11/1.39 (step @p540 :rule cong :premises (@p539 @p538) :args (@t1984)) % 1.11/1.39 (step @p541 :rule bool-impl-true2 :args (@t1984)) % 1.11/1.39 (step @p542 :rule trans :premises (@p541 @p540)) % 1.11/1.39 (step @p543 :rule bool-impl-true2 :args (@t1984)) % 1.11/1.39 (step @p544 :rule refl :args (true)) % 1.11/1.39 (step @p545 :rule cong :premises (@p544 @p543) :args (@t1985)) % 1.11/1.39 (step @p546 :rule trans :premises (@p545 @p542)) % 1.11/1.39 (step @p547 :rule cong :premises (@p544 @p543) :args (@t1985)) % 1.11/1.39 (step @p548 :rule cong :premises (@p544 @p547) :args (@t1986)) % 1.11/1.39 (step @p549 :rule trans :premises (@p548 @p546)) % 1.11/1.39 (step @p550 :rule cong :premises (@p544 @p547) :args (@t1986)) % 1.11/1.39 (step @p551 :rule cong :premises (@p544 @p550) :args (@t1987)) % 1.11/1.39 (step @p552 :rule trans :premises (@p551 @p549)) % 1.11/1.39 (step @p553 :rule cong :premises (@p544 @p550) :args (@t1987)) % 1.11/1.39 (step @p554 :rule cong :premises (@p544 @p553) :args (@t1988)) % 1.11/1.39 (step @p555 :rule trans :premises (@p554 @p552)) % 1.11/1.39 (step @p556 :rule refl :args (@t1637)) % 1.11/1.39 (step @p557 :rule cong :premises (@p556 @p555) :args (@t1989)) % 1.11/1.39 (step @p558 :rule cong :premises (@p539 @p557) :args (@t1990)) % 1.11/1.39 (step @p559 :rule bool-impl-true2 :args (@t1990)) % 1.11/1.39 (step @p560 :rule trans :premises (@p559 @p558)) % 1.11/1.39 (step @p561 :rule bool-impl-true2 :args (@t1990)) % 1.11/1.39 (step @p562 :rule cong :premises (@p544 @p561) :args (@t1991)) % 1.11/1.39 (step @p563 :rule trans :premises (@p562 @p560)) % 1.11/1.39 (step @p564 :rule refl :args (@t1640)) % 1.11/1.39 (step @p565 :rule cong :premises (@p564 @p563) :args (@t1992)) % 1.11/1.39 (step @p566 :rule refl :args (@t1646)) % 1.11/1.39 (step @p567 :rule cong :premises (@p566 @p565) :args (@t1993)) % 1.11/1.39 (step @p568 :rule bool-impl-true2 :args (@t1993)) % 1.11/1.39 (step @p569 :rule trans :premises (@p568 @p567)) % 1.11/1.39 (step @p570 :rule bool-impl-true2 :args (@t1993)) % 1.11/1.39 (step @p571 :rule cong :premises (@p544 @p570) :args (@t1994)) % 1.11/1.39 (step @p572 :rule trans :premises (@p571 @p569)) % 1.11/1.39 (step @p573 :rule cong :premises (@p544 @p570) :args (@t1994)) % 1.11/1.39 (step @p574 :rule cong :premises (@p544 @p573) :args (@t1995)) % 1.11/1.39 (step @p575 :rule trans :premises (@p574 @p572)) % 1.11/1.39 (step @p576 :rule refl :args (@t1649)) % 1.11/1.39 (step @p577 :rule cong :premises (@p576 @p575) :args (@t1996)) % 1.11/1.39 (step @p578 :rule refl :args (@t1651)) % 1.11/1.39 (step @p579 :rule cong :premises (@p578 @p577) :args (@t1997)) % 1.11/1.39 (step @p580 :rule bool-impl-true2 :args (@t1997)) % 1.11/1.39 (step @p581 :rule trans :premises (@p580 @p579)) % 1.11/1.39 (step @p582 :rule bool-impl-true2 :args (@t1997)) % 1.11/1.39 (step @p583 :rule cong :premises (@p544 @p582) :args (@t1998)) % 1.11/1.39 (step @p584 :rule trans :premises (@p583 @p581)) % 1.11/1.39 (step @p585 :rule cong :premises (@p544 @p582) :args (@t1998)) % 1.11/1.39 (step @p586 :rule cong :premises (@p544 @p585) :args (@t1999)) % 1.11/1.39 (step @p587 :rule trans :premises (@p586 @p584)) % 1.11/1.39 (step @p588 :rule cong :premises (@p544 @p585) :args (@t1999)) % 1.11/1.39 (step @p589 :rule cong :premises (@p544 @p588) :args (@t2000)) % 1.11/1.39 (step @p590 :rule trans :premises (@p589 @p587)) % 1.11/1.39 (step @p591 :rule cong :premises (@p221 @p590) :args (@t2001)) % 1.11/1.39 (step @p592 :rule cong :premises (@p223 @p591) :args (@t2002)) % 1.11/1.39 (step @p593 :rule cong :premises (@p225 @p592) :args (@t2003)) % 1.11/1.39 (step @p594 :rule cong :premises (@p227 @p593) :args (@t2004)) % 1.11/1.39 (step @p595 :rule cong :premises (@p229 @p594) :args (@t2005)) % 1.11/1.39 (step @p596 :rule cong :premises (@p231 @p595) :args (@t2006)) % 1.11/1.39 (step @p597 :rule cong :premises (@p233 @p596) :args (@t2007)) % 1.11/1.39 (step @p598 :rule cong :premises (@p235 @p597) :args (@t2008)) % 1.11/1.39 (step @p599 :rule cong :premises (@p237 @p598) :args (@t2009)) % 1.11/1.39 (step @p600 :rule cong :premises (@p239 @p599) :args (@t2010)) % 1.11/1.39 (step @p601 :rule cong :premises (@p241 @p600) :args (@t2011)) % 1.11/1.39 (step @p602 :rule cong :premises (@p243 @p601) :args (@t2012)) % 1.11/1.39 (step @p603 :rule cong :premises (@p245 @p602) :args (@t2013)) % 1.11/1.39 (step @p604 :rule cong :premises (@p247 @p603) :args (@t2014)) % 1.11/1.39 (step @p605 :rule cong :premises (@p249 @p604) :args (@t2015)) % 1.11/1.39 (step @p606 :rule cong :premises (@p251 @p605) :args (@t2016)) % 1.11/1.39 (step @p607 :rule cong :premises (@p251 @p606) :args (@t2017)) % 1.11/1.39 (step @p608 :rule cong :premises (@p254 @p607) :args (@t2018)) % 1.11/1.39 (step @p609 :rule cong :premises (@p256 @p608) :args (@t2019)) % 1.11/1.39 (step @p610 :rule cong :premises (@p258 @p609) :args (@t2020)) % 1.11/1.39 (step @p611 :rule cong :premises (@p258 @p610) :args (@t2021)) % 1.11/1.39 (step @p612 :rule cong :premises (@p261 @p611) :args (@t2022)) % 1.11/1.39 (step @p613 :rule refl :args (@t221)) % 1.11/1.39 (step @p614 :rule cong :premises (@p613 @p612) :args (@t2023)) % 1.11/1.39 (step @p615 :rule cong :premises (@p282 @p614) :args (@t2024)) % 1.11/1.39 (step @p616 :rule cong :premises (@p284 @p615) :args (@t2025)) % 1.11/1.39 (step @p617 :rule cong :premises (@p286 @p616) :args (@t2026)) % 1.11/1.39 (step @p618 :rule cong :premises (@p239 @p617) :args (@t2027)) % 1.11/1.39 (step @p619 :rule cong :premises (@p289 @p618) :args (@t2028)) % 1.11/1.39 (step @p620 :rule cong :premises (@p291 @p619) :args (@t2029)) % 1.11/1.39 (step @p621 :rule cong :premises (@p291 @p620) :args (@t2030)) % 1.11/1.39 (step @p622 :rule cong :premises (@p294 @p621) :args (@t2031)) % 1.11/1.39 (step @p623 :rule cong :premises (@p296 @p622) :args (@t2032)) % 1.11/1.39 (step @p624 :rule cong :premises (@p298 @p623) :args (@t2033)) % 1.11/1.39 (step @p625 :rule cong :premises (@p298 @p624) :args (@t2034)) % 1.11/1.39 (step @p626 :rule cong :premises (@p298 @p625) :args (@t2035)) % 1.11/1.39 (step @p627 :rule cong :premises (@p302 @p626) :args (@t2036)) % 1.11/1.39 (step @p628 :rule bool-impl-true2 :args (@t2036)) % 1.11/1.39 (step @p629 :rule trans :premises (@p628 @p627)) % 1.11/1.39 (step @p630 :rule cong :premises (@p304 @p629) :args (@t2037)) % 1.11/1.39 (step @p631 :rule cong :premises (@p306 @p630) :args (@t2038)) % 1.11/1.39 (step @p632 :rule cong :premises (@p308 @p631) :args (@t2039)) % 1.11/1.39 (step @p633 :rule cong :premises (@p310 @p632) :args (@t2040)) % 1.11/1.39 (step @p634 :rule cong :premises (@p312 @p633) :args (@t2041)) % 1.11/1.39 (step @p635 :rule cong :premises (@p314 @p634) :args (@t2042)) % 1.11/1.39 (step @p636 :rule cong :premises (@p316 @p635) :args (@t2043)) % 1.11/1.39 (step @p637 :rule cong :premises (@p318 @p636) :args (@t2044)) % 1.11/1.39 (step @p638 :rule cong :premises (@p320 @p637) :args (@t2045)) % 1.11/1.39 (step @p639 :rule refl :args (@t50)) % 1.11/1.39 (step @p640 :rule cong :premises (@p639 @p638) :args (@t2046)) % 1.11/1.39 (step @p641 :rule cong :premises (@p328 @p640) :args (@t2047)) % 1.11/1.39 (step @p642 :rule cong :premises (@p330 @p641) :args (@t2048)) % 1.11/1.39 (step @p643 :rule cong :premises (@p332 @p642) :args (@t2049)) % 1.11/1.39 (step @p644 :rule cong :premises (@p298 @p643) :args (@t2050)) % 1.11/1.39 (step @p645 :rule cong :premises (@p335 @p644) :args (@t2051)) % 1.11/1.39 (step @p646 :rule cong :premises (@p645) :args ((not @t2051))) % 1.11/1.39 (step @p647 :rule refl :args (@t1185)) % 1.11/1.39 (step @p648 :rule refl :args (@t1188)) % 1.11/1.39 (step @p649 :rule refl :args (@t1189)) % 1.11/1.39 (step @p650 :rule refl :args (@t1190)) % 1.11/1.39 (step @p651 :rule refl :args (@t1191)) % 1.11/1.39 (step @p652 :rule refl :args (@t1192)) % 1.11/1.39 (step @p653 :rule eq-symm :args (@t1194 @t1195)) % 1.11/1.39 (step @p654 :rule cong :premises (@p653) :args (@t2052)) % 1.11/1.39 (step @p655 :rule refl :args (@t1196)) % 1.11/1.39 (step @p656 :rule nary_cong :premises (@p655 @p654 @p652 @p651 @p650 @p649 @p648) :args (@t2053)) % 1.11/1.39 (step @p657 :rule aci_norm :args ((= @t2056 @t2053))) % 1.11/1.39 (step @p658 :rule trans :premises (@p657 @p656)) % 1.11/1.39 (step @p659 :rule cong :premises (@p658) :args (@t2057)) % 1.11/1.39 (step @p660 :rule quant-merge-prenex :args ((= (forall @t309 @t2058) @t2057))) % 1.11/1.39 (step @p661 :rule alpha_equiv :args (@t2059 (@list @t1187 @t1186) (@list @t4 @t1374))) % 1.11/1.39 (step @p662 :rule alpha_equiv :args (@t2060 (@list @t1193) @t2061)) % 1.11/1.39 (step @p663 :rule nary_cong :premises (@p662 @p661) :args (@t2062)) % 1.11/1.39 (step @p664 :rule quant-miniscope-or :args ((= @t2058 @t2062))) % 1.11/1.39 (step @p665 :rule trans :premises (@p664 @p663)) % 1.11/1.39 (step @p666 :rule symm :premises (@p665)) % 1.11/1.39 (step @p667 :rule cong :premises (@p666) :args ((forall @t309 (or @t1372 @t1382)))) % 1.11/1.39 (step @p668 :rule trans :premises (@p667 @p660)) % 1.11/1.39 (step @p669 :rule trans :premises (@p668 @p659)) % 1.11/1.39 (step @p670 :rule refl :args (@t1382)) % 1.11/1.39 (step @p671 :rule bool-double-not-elim :args (@t1372)) % 1.11/1.39 (step @p672 :rule nary_cong :premises (@p671 @p670) :args ((or @t2063 @t1382))) % 1.11/1.39 (step @p673 :rule bool-impl-elim :args (@t1373 @t1382)) % 1.11/1.39 (step @p674 :rule trans :premises (@p673 @p672)) % 1.11/1.39 (step @p675 :rule cong :premises (@p674) :args ((forall @t309 (=> @t1373 @t1382)))) % 1.11/1.39 (step @p676 :rule trans :premises (@p675 @p669)) % 1.11/1.39 (step @p677 :rule aci_norm :args ((= @t2065 @t1380))) % 1.11/1.39 (step @p678 :rule cong :premises (@p677) :args (@t2066)) % 1.11/1.39 (step @p679 :rule quant-merge-prenex :args ((= (forall @t9 @t2068) @t2066))) % 1.11/1.39 (step @p680 :rule alpha_equiv :args (@t2069 (@list @t1374) @t2070)) % 1.11/1.39 (step @p681 :rule refl :args (@t1379)) % 1.11/1.39 (step @p682 :rule refl :args (@t1177)) % 1.11/1.39 (step @p683 :rule nary_cong :premises (@p682 @p681 @p680) :args (@t2071)) % 1.11/1.39 (step @p684 :rule quant-miniscope-or :args ((= @t2068 @t2071))) % 1.11/1.39 (step @p685 :rule trans :premises (@p684 @p683)) % 1.11/1.39 (step @p686 :rule symm :premises (@p685)) % 1.11/1.39 (step @p687 :rule cong :premises (@p686) :args ((forall @t9 (or @t1177 @t1379 @t1396)))) % 1.11/1.39 (step @p688 :rule trans :premises (@p687 @p679)) % 1.11/1.39 (step @p689 :rule trans :premises (@p688 @p678)) % 1.11/1.39 (step @p690 :rule refl :args (@t1396)) % 1.11/1.39 (step @p691 :rule refl :args (@t1378)) % 1.11/1.39 (step @p692 :rule refl :args (@t144)) % 1.11/1.39 (step @p693 :rule cong :premises (@p692 @p691) :args ((= @t144 @t1378))) % 1.11/1.39 (step @p694 :rule symm :premises (@p693)) % 1.11/1.39 (step @p695 :rule eq_resolve :premises (@p692 @p694)) % 1.11/1.39 (step @p696 :rule cong :premises (@p695) :args (@t315)) % 1.11/1.39 (step @p697 :rule refl :args (@t1176)) % 1.11/1.39 (step @p698 :rule refl :args (@t7)) % 1.11/1.39 (step @p699 :rule cong :premises (@p698 @p697) :args ((= @t7 @t1176))) % 1.11/1.39 (step @p700 :rule symm :premises (@p699)) % 1.11/1.39 (step @p701 :rule eq_resolve :premises (@p698 @p700)) % 1.11/1.39 (step @p702 :rule cong :premises (@p701) :args (@t197)) % 1.11/1.39 (step @p703 :rule nary_cong :premises (@p702 @p696 @p690) :args (@t2072)) % 1.11/1.39 (step @p704 :rule cong :premises (@p703) :args ((forall @t9 @t2072))) % 1.11/1.39 (step @p705 :rule trans :premises (@p704 @p689)) % 1.11/1.39 (step @p706 :rule aci_norm :args ((= (or @t197 @t2073) @t2072))) % 1.11/1.39 (step @p707 :rule bool-impl-elim :args (@t7 @t2073)) % 1.11/1.39 (step @p708 :rule trans :premises (@p707 @p706)) % 1.11/1.39 (step @p709 :rule cong :premises (@p708) :args ((forall @t9 (=> @t7 @t2073)))) % 1.11/1.39 (step @p710 :rule trans :premises (@p709 @p705)) % 1.11/1.39 (step @p711 :rule refl :args (@t129)) % 1.11/1.39 (step @p712 :rule refl :args (@t1392)) % 1.11/1.39 (step @p713 :rule refl :args (@t153)) % 1.11/1.39 (step @p714 :rule cong :premises (@p713 @p712) :args ((= @t153 @t1392))) % 1.11/1.39 (step @p715 :rule symm :premises (@p714)) % 1.11/1.39 (step @p716 :rule eq_resolve :premises (@p713 @p715)) % 1.11/1.39 (step @p717 :rule cong :premises (@p716) :args (@t2074)) % 1.11/1.39 (step @p718 :rule refl :args (@t1394)) % 1.11/1.39 (step @p719 :rule refl :args (@t21)) % 1.11/1.39 (step @p720 :rule cong :premises (@p719 @p718) :args ((= @t21 @t1394))) % 1.11/1.39 (step @p721 :rule symm :premises (@p720)) % 1.11/1.39 (step @p722 :rule eq_resolve :premises (@p719 @p721)) % 1.11/1.39 (step @p723 :rule cong :premises (@p722) :args (@t2075)) % 1.11/1.39 (step @p724 :rule nary_cong :premises (@p723 @p717 @p711) :args (@t2076)) % 1.11/1.39 (step @p725 :rule cong :premises (@p724) :args (@t2077)) % 1.11/1.39 (step @p726 :rule refl :args (@t315)) % 1.11/1.39 (step @p727 :rule nary_cong :premises (@p726 @p725) :args (@t2078)) % 1.11/1.39 (step @p728 :rule quant-miniscope-or :args ((= (forall @t70 @t2079) @t2078))) % 1.11/1.39 (step @p729 :rule aci_norm :args ((= @t2080 @t2079))) % 1.11/1.39 (step @p730 :rule cong :premises (@p729) :args ((forall @t70 @t2080))) % 1.11/1.39 (step @p731 :rule trans :premises (@p730 @p728)) % 1.11/1.39 (step @p732 :rule trans :premises (@p731 @p727)) % 1.11/1.39 (step @p733 :rule aci_norm :args ((= (or @t2075 @t2081) @t2080))) % 1.11/1.39 (step @p734 :rule aci_norm :args ((= (or @t315 @t2082) @t2081))) % 1.11/1.39 (step @p735 :rule bool-impl-elim :args (@t153 @t129)) % 1.11/1.39 (step @p736 :rule refl :args (@t315)) % 1.11/1.39 (step @p737 :rule nary_cong :premises (@p736 @p735) :args ((or @t315 @t166))) % 1.11/1.39 (step @p738 :rule trans :premises (@p737 @p734)) % 1.11/1.39 (step @p739 :rule bool-impl-elim :args (@t144 @t166)) % 1.11/1.39 (step @p740 :rule trans :premises (@p739 @p738)) % 1.11/1.39 (step @p741 :rule refl :args (@t2075)) % 1.11/1.39 (step @p742 :rule nary_cong :premises (@p741 @p740) :args ((or @t2075 @t343))) % 1.11/1.39 (step @p743 :rule trans :premises (@p742 @p733)) % 1.11/1.39 (step @p744 :rule bool-impl-elim :args (@t21 @t343)) % 1.11/1.39 (step @p745 :rule trans :premises (@p744 @p743)) % 1.11/1.39 (step @p746 :rule cong :premises (@p745) :args (@t714)) % 1.11/1.39 (step @p747 :rule trans :premises (@p746 @p732)) % 1.11/1.39 (step @p748 :rule refl :args (@t7)) % 1.11/1.39 (step @p749 :rule cong :premises (@p748 @p747) :args (@t715)) % 1.11/1.39 (step @p750 :rule cong :premises (@p749) :args (@t716)) % 1.11/1.39 (step @p751 :rule trans :premises (@p750 @p710)) % 1.11/1.39 (step @p752 :rule lambda-elim :args ((= @t2086 @t143))) % 1.11/1.39 (step @p753 :rule refl :args (@t2)) % 1.11/1.39 (step @p754 :rule cong :premises (@p753 @p752) :args (@t2087)) % 1.11/1.39 (step @p755 :rule refl :args (@t1315)) % 1.11/1.39 (step @p756 :rule cong :premises (@p755 @p754) :args (@t2088)) % 1.11/1.39 (step @p757 :rule cong :premises (@p756) :args (@t2089)) % 1.11/1.39 (step @p758 :rule refl :args (@t4)) % 1.11/1.39 (step @p759 :rule cong :premises (@p758 @p754) :args (@t2090)) % 1.11/1.39 (step @p760 :rule cong :premises (@p759) :args (@t2091)) % 1.11/1.39 (step @p761 :rule nary_cong :premises (@p760 @p757) :args (@t2092)) % 1.11/1.39 (step @p762 :rule cong :premises (@p761) :args ((forall @t9 @t2092))) % 1.11/1.39 (step @p763 :rule refl :args (@t2084)) % 1.11/1.39 (step @p764 :rule refl :args (@t2093)) % 1.11/1.39 (step @p765 :rule cong :premises (@p764 @p763) :args ((= @t2093 @t2084))) % 1.11/1.39 (step @p766 :rule symm :premises (@p765)) % 1.11/1.39 (step @p767 :rule eq_resolve :premises (@p764 @p766)) % 1.11/1.39 (step @p768 :rule cong :premises (@p767) :args (@t2094)) % 1.11/1.39 (step @p769 :rule refl :args (@t2)) % 1.11/1.39 (step @p770 :rule cong :premises (@p769 @p768) :args (@t2095)) % 1.11/1.39 (step @p771 :rule refl :args (@t1315)) % 1.11/1.39 (step @p772 :rule cong :premises (@p771 @p770) :args (@t2096)) % 1.11/1.39 (step @p773 :rule cong :premises (@p772) :args (@t2097)) % 1.11/1.39 (step @p774 :rule refl :args (@t4)) % 1.11/1.39 (step @p775 :rule cong :premises (@p774 @p770) :args (@t2098)) % 1.11/1.39 (step @p776 :rule cong :premises (@p775) :args (@t2099)) % 1.11/1.39 (step @p777 :rule nary_cong :premises (@p776 @p773) :args (@t2100)) % 1.11/1.39 (step @p778 :rule cong :premises (@p777) :args ((forall @t9 @t2100))) % 1.11/1.39 (step @p779 :rule trans :premises (@p778 @p762)) % 1.11/1.39 (step @p780 :rule alpha_equiv :args (@t145 @t2061 (@list @t2083))) % 1.11/1.39 (step @p781 :rule cong :premises (@p769 @p780) :args (@t2101)) % 1.11/1.39 (step @p782 :rule cong :premises (@p771 @p781) :args (@t2102)) % 1.11/1.39 (step @p783 :rule cong :premises (@p782) :args (@t2103)) % 1.11/1.39 (step @p784 :rule cong :premises (@p774 @p781) :args (@t2104)) % 1.11/1.39 (step @p785 :rule cong :premises (@p784) :args (@t2105)) % 1.11/1.39 (step @p786 :rule nary_cong :premises (@p785 @p783) :args (@t2106)) % 1.11/1.39 (step @p787 :rule cong :premises (@p786) :args (@t2107)) % 1.11/1.39 (step @p788 :rule trans :premises (@p787 @p779)) % 1.11/1.39 (step @p789 :rule cong :premises (@p788) :args (@t2108)) % 1.11/1.39 (step @p790 :rule beta-reduce :args ((= (_ @t2109 @t145) @t2108))) % 1.11/1.39 (step @p791 :rule trans :premises (@p790 @p789)) % 1.11/1.39 (step @p792 :rule refl :args (@t145)) % 1.11/1.39 (step @p793 :rule beta-reduce :args ((= @t2111 @t2109))) % 1.11/1.39 (step @p794 :rule ho_cong :premises (@p793 @p792)) % 1.11/1.39 (step @p795 :rule trans :premises (@p794 @p791)) % 1.11/1.39 (step @p796 :rule cong :premises (@p795 @p751) :args (@t2113)) % 1.11/1.39 (step @p797 :rule cong :premises (@p796) :args (@t2114)) % 1.11/1.39 (step @p798 :rule trans :premises (@p797 @p676)) % 1.11/1.39 (step @p799 :rule refl :args (tptp.ex1E2)) % 1.11/1.39 (step @p800 :rule cong :premises (@p799 @p798) :args ((= tptp.ex1E2 @t2114))) % 1.11/1.39 (step @p801 :rule refl :args (@t716)) % 1.11/1.39 (step @p802 :rule lambda-elim :args ((= @t2118 @t143))) % 1.11/1.39 (step @p803 :rule cong :premises (@p753 @p802) :args (@t2119)) % 1.11/1.39 (step @p804 :rule cong :premises (@p755 @p803) :args (@t2120)) % 1.11/1.39 (step @p805 :rule cong :premises (@p804) :args (@t2121)) % 1.11/1.39 (step @p806 :rule cong :premises (@p758 @p803) :args (@t2122)) % 1.11/1.39 (step @p807 :rule cong :premises (@p806) :args (@t2123)) % 1.11/1.39 (step @p808 :rule nary_cong :premises (@p807 @p805) :args (@t2124)) % 1.11/1.39 (step @p809 :rule cong :premises (@p808) :args ((forall @t9 @t2124))) % 1.11/1.39 (step @p810 :rule refl :args ((tptp.dsetconstr @t2 @t2126))) % 1.11/1.39 (step @p811 :rule refl :args (@t2116)) % 1.11/1.39 (step @p812 :rule cong :premises (@p811) :args (@t2118)) % 1.11/1.39 (step @p813 :rule cong :premises (@p769 @p812) :args (@t2119)) % 1.11/1.39 (step @p814 :rule trans :premises (@p813 @p810)) % 1.11/1.39 (step @p815 :rule refl :args (@t155)) % 1.11/1.39 (step @p816 :rule ho_cong :premises (@p815 @p812)) % 1.11/1.39 (step @p817 :rule cong :premises (@p816 @p814) :args ((= (_ @t155 @t2118) @t2119))) % 1.11/1.39 (step @p818 :rule symm :premises (@p817)) % 1.11/1.39 (step @p819 :rule refl :args (@t2127)) % 1.11/1.39 (step @p820 :rule eq_resolve :premises (@p819 @p818)) % 1.11/1.39 (step @p821 :rule refl :args (@t2125)) % 1.11/1.39 (step @p822 :rule cong :premises (@p821 @p811) :args ((= @t2125 @t2116))) % 1.11/1.39 (step @p823 :rule symm :premises (@p822)) % 1.11/1.39 (step @p824 :rule eq_resolve :premises (@p821 @p823)) % 1.11/1.39 (step @p825 :rule cong :premises (@p824) :args (@t2126)) % 1.11/1.39 (step @p826 :rule ho_cong :premises (@p815 @p825)) % 1.11/1.39 (step @p827 :rule trans :premises (@p826 @p820)) % 1.11/1.39 (step @p828 :rule cong :premises (@p771 @p827) :args (@t2128)) % 1.11/1.39 (step @p829 :rule cong :premises (@p828) :args (@t2129)) % 1.11/1.39 (step @p830 :rule cong :premises (@p774 @p827) :args (@t2130)) % 1.11/1.39 (step @p831 :rule cong :premises (@p830) :args (@t2131)) % 1.11/1.39 (step @p832 :rule nary_cong :premises (@p831 @p829) :args (@t2132)) % 1.11/1.39 (step @p833 :rule cong :premises (@p832) :args ((forall @t9 @t2132))) % 1.11/1.39 (step @p834 :rule trans :premises (@p833 @p809)) % 1.11/1.39 (step @p835 :rule eq-symm :args (@t2127 @t1315)) % 1.11/1.39 (step @p836 :rule cong :premises (@p835) :args (@t2133)) % 1.11/1.39 (step @p837 :rule refl :args (@t2131)) % 1.11/1.39 (step @p838 :rule nary_cong :premises (@p837 @p836) :args (@t2134)) % 1.11/1.39 (step @p839 :rule cong :premises (@p838) :args ((forall @t9 @t2134))) % 1.11/1.39 (step @p840 :rule trans :premises (@p839 @p834)) % 1.11/1.39 (step @p841 :rule alpha_equiv :args (@t145 @t2061 (@list @t2115))) % 1.11/1.39 (step @p842 :rule ho_cong :premises (@p815 @p841)) % 1.11/1.39 (step @p843 :rule cong :premises (@p842 @p771) :args (@t2135)) % 1.11/1.39 (step @p844 :rule cong :premises (@p843) :args (@t2136)) % 1.11/1.39 (step @p845 :rule cong :premises (@p774 @p842) :args (@t2137)) % 1.11/1.39 (step @p846 :rule cong :premises (@p845) :args (@t2138)) % 1.11/1.39 (step @p847 :rule nary_cong :premises (@p846 @p844) :args (@t2139)) % 1.11/1.39 (step @p848 :rule cong :premises (@p847) :args (@t2140)) % 1.11/1.39 (step @p849 :rule trans :premises (@p848 @p840)) % 1.11/1.39 (step @p850 :rule cong :premises (@p849) :args (@t2141)) % 1.11/1.39 (step @p851 :rule beta-reduce :args ((= @t2145 @t2141))) % 1.11/1.39 (step @p852 :rule trans :premises (@p851 @p850)) % 1.11/1.39 (step @p853 :rule refl :args (@t304)) % 1.11/1.39 (step @p854 :rule refl :args (@t1315)) % 1.11/1.39 (step @p855 :rule refl :args (@t279)) % 1.11/1.39 (step @p856 :rule cong :premises (@p855 @p854) :args ((= @t279 @t1315))) % 1.11/1.39 (step @p857 :rule symm :premises (@p856)) % 1.11/1.39 (step @p858 :rule eq_resolve :premises (@p855 @p857)) % 1.11/1.39 (step @p859 :rule cong :premises (@p769 @p858) :args (@t1152)) % 1.11/1.39 (step @p860 :rule cong :premises (@p859) :args (@t2146)) % 1.11/1.39 (step @p861 :rule nary_cong :premises (@p702 @p860) :args (@t2147)) % 1.11/1.39 (step @p862 :rule cong :premises (@p861) :args ((forall @t9 @t2147))) % 1.11/1.39 (step @p863 :rule bool-and-de-morgan :args (@t7 @t1152 true)) % 1.11/1.39 (step @p864 :rule cong :premises (@p863) :args (@t2148)) % 1.11/1.39 (step @p865 :rule trans :premises (@p864 @p862)) % 1.11/1.39 (step @p866 :rule cong :premises (@p865) :args (@t2149)) % 1.11/1.39 (step @p867 :rule exists-elim :args ((= @t1154 @t2149))) % 1.11/1.39 (step @p868 :rule trans :premises (@p867 @p866)) % 1.11/1.39 (step @p869 :rule cong :premises (@p868) :args (@t1155)) % 1.11/1.39 (step @p870 :rule trans :premises (@p205 @p869)) % 1.11/1.39 (step @p871 :rule ho_cong :premises (@p870 @p853)) % 1.11/1.39 (step @p872 :rule trans :premises (@p871 @p852)) % 1.11/1.39 (step @p873 :rule cong :premises (@p872) :args (@t1156)) % 1.11/1.39 (step @p874 :rule trans :premises (@p206 @p873)) % 1.11/1.39 (step @p875 :rule ho_cong :premises (@p874 @p753)) % 1.11/1.39 (step @p876 :rule ho_cong :premises (@p875 @p792)) % 1.11/1.39 (step @p877 :rule cong :premises (@p876 @p801) :args (@t942)) % 1.11/1.39 (step @p878 :rule cong :premises (@p877) :args (@t943)) % 1.11/1.39 (step @p879 :rule cong :premises (@p799 @p878) :args (@t944)) % 1.11/1.39 (step @p880 :rule trans :premises (@p879 @p800)) % 1.11/1.39 (step @p881 :rule eq_resolve :premises (@p200 @p880)) % 1.11/1.39 (step @p882 :rule cong :premises (@p881 @p647) :args (@t2150)) % 1.11/1.39 (step @p883 :rule aci_norm :args ((= @t2152 @t1210))) % 1.11/1.39 (step @p884 :rule cong :premises (@p883) :args (@t2153)) % 1.11/1.39 (step @p885 :rule quant-merge-prenex :args ((= (forall @t938 @t2155) @t2153))) % 1.11/1.39 (step @p886 :rule alpha_equiv :args (@t2156 (@list @t1199 @t1198) (@list @t143 @t2157))) % 1.11/1.39 (step @p887 :rule refl :args (@t1209)) % 1.11/1.39 (step @p888 :rule nary_cong :premises (@p887 @p886) :args (@t2158)) % 1.11/1.39 (step @p889 :rule quant-miniscope-or :args ((= @t2155 @t2158))) % 1.11/1.39 (step @p890 :rule trans :premises (@p889 @p888)) % 1.11/1.39 (step @p891 :rule symm :premises (@p890)) % 1.11/1.39 (step @p892 :rule cong :premises (@p891) :args ((forall @t938 (or @t1209 @t2167)))) % 1.11/1.39 (step @p893 :rule trans :premises (@p892 @p885)) % 1.11/1.39 (step @p894 :rule trans :premises (@p893 @p884)) % 1.11/1.39 (step @p895 :rule refl :args (@t2167)) % 1.11/1.39 (step @p896 :rule refl :args ((tptp.subset @t925 @t672))) % 1.11/1.39 (step @p897 :rule refl :args (@t1180)) % 1.11/1.39 (step @p898 :rule refl :args (@t925)) % 1.11/1.39 (step @p899 :rule cong :premises (@p898 @p897) :args (@t1208)) % 1.11/1.39 (step @p900 :rule trans :premises (@p899 @p896)) % 1.11/1.39 (step @p901 :rule refl :args (@t2168)) % 1.11/1.39 (step @p902 :rule ho_cong :premises (@p901 @p897)) % 1.11/1.39 (step @p903 :rule cong :premises (@p902 @p900) :args ((= (_ @t2168 @t1180) @t1208))) % 1.11/1.39 (step @p904 :rule symm :premises (@p903)) % 1.11/1.39 (step @p905 :rule refl :args (@t2169)) % 1.11/1.39 (step @p906 :rule eq_resolve :premises (@p905 @p904)) % 1.11/1.39 (step @p907 :rule refl :args (@t672)) % 1.11/1.39 (step @p908 :rule cong :premises (@p907 @p897) :args ((= @t672 @t1180))) % 1.11/1.39 (step @p909 :rule symm :premises (@p908)) % 1.11/1.39 (step @p910 :rule eq_resolve :premises (@p907 @p909)) % 1.11/1.39 (step @p911 :rule ho_cong :premises (@p901 @p910)) % 1.11/1.39 (step @p912 :rule trans :premises (@p911 @p906)) % 1.11/1.39 (step @p913 :rule cong :premises (@p912) :args (@t2170)) % 1.11/1.39 (step @p914 :rule nary_cong :premises (@p913 @p895) :args (@t2171)) % 1.11/1.39 (step @p915 :rule cong :premises (@p914) :args ((forall @t938 @t2171))) % 1.11/1.39 (step @p916 :rule trans :premises (@p915 @p894)) % 1.11/1.39 (step @p917 :rule bool-impl-elim :args (@t2169 @t2167)) % 1.11/1.39 (step @p918 :rule cong :premises (@p917) :args ((forall @t938 (=> @t2169 @t2167)))) % 1.11/1.39 (step @p919 :rule trans :premises (@p918 @p916)) % 1.11/1.39 (step @p920 :rule aci_norm :args ((= @t2173 @t2165))) % 1.11/1.39 (step @p921 :rule cong :premises (@p920) :args (@t2174)) % 1.11/1.39 (step @p922 :rule quant-merge-prenex :args ((= (forall @t150 @t2176) @t2174))) % 1.11/1.39 (step @p923 :rule alpha_equiv :args (@t2177 (@list @t2157) @t2061)) % 1.11/1.39 (step @p924 :rule refl :args (@t2164)) % 1.11/1.39 (step @p925 :rule nary_cong :premises (@p924 @p923) :args (@t2178)) % 1.11/1.39 (step @p926 :rule quant-miniscope-or :args ((= @t2176 @t2178))) % 1.11/1.39 (step @p927 :rule trans :premises (@p926 @p925)) % 1.11/1.39 (step @p928 :rule symm :premises (@p927)) % 1.11/1.39 (step @p929 :rule cong :premises (@p928) :args ((forall @t150 (or @t2164 @t2180)))) % 1.11/1.39 (step @p930 :rule trans :premises (@p929 @p922)) % 1.11/1.39 (step @p931 :rule trans :premises (@p930 @p921)) % 1.11/1.39 (step @p932 :rule bool-impl-elim :args (@t2163 @t2180)) % 1.11/1.39 (step @p933 :rule cong :premises (@p932) :args ((forall @t150 (=> @t2163 @t2180)))) % 1.11/1.39 (step @p934 :rule trans :premises (@p933 @p931)) % 1.11/1.39 (step @p935 :rule refl :args (@t2179)) % 1.11/1.39 (step @p936 :rule refl :args (@t926)) % 1.11/1.39 (step @p937 :rule cong :premises (@p936 @p935) :args ((= @t926 @t2179))) % 1.11/1.39 (step @p938 :rule symm :premises (@p937)) % 1.11/1.39 (step @p939 :rule eq_resolve :premises (@p936 @p938)) % 1.11/1.39 (step @p940 :rule cong :premises (@p939) :args (@t2181)) % 1.11/1.39 (step @p941 :rule nary_cong :premises (@p940 @p695) :args (@t2182)) % 1.11/1.39 (step @p942 :rule cong :premises (@p941) :args ((forall @t9 @t2182))) % 1.11/1.39 (step @p943 :rule bool-impl-elim :args (@t926 @t144)) % 1.11/1.39 (step @p944 :rule cong :premises (@p943) :args (@t927)) % 1.11/1.39 (step @p945 :rule trans :premises (@p944 @p942)) % 1.11/1.39 (step @p946 :rule aci_norm :args ((= @t2184 @t2162))) % 1.11/1.39 (step @p947 :rule cong :premises (@p946) :args (@t2185)) % 1.11/1.39 (step @p948 :rule quant-merge-prenex :args ((= (forall @t9 @t2187) @t2185))) % 1.11/1.39 (step @p949 :rule alpha_equiv :args (@t2188 (@list @t1202) @t2070)) % 1.11/1.39 (step @p950 :rule nary_cong :premises (@p682 @p949) :args (@t2189)) % 1.11/1.39 (step @p951 :rule quant-miniscope-or :args ((= @t2187 @t2189))) % 1.11/1.39 (step @p952 :rule trans :premises (@p951 @p950)) % 1.11/1.39 (step @p953 :rule symm :premises (@p952)) % 1.11/1.39 (step @p954 :rule cong :premises (@p953) :args ((forall @t9 (or @t1177 @t2193)))) % 1.11/1.39 (step @p955 :rule trans :premises (@p954 @p948)) % 1.11/1.39 (step @p956 :rule trans :premises (@p955 @p947)) % 1.11/1.39 (step @p957 :rule refl :args (@t2193)) % 1.11/1.39 (step @p958 :rule nary_cong :premises (@p702 @p957) :args (@t2194)) % 1.11/1.39 (step @p959 :rule cong :premises (@p958) :args ((forall @t9 @t2194))) % 1.11/1.39 (step @p960 :rule trans :premises (@p959 @p956)) % 1.11/1.39 (step @p961 :rule bool-impl-elim :args (@t7 @t2193)) % 1.11/1.39 (step @p962 :rule cong :premises (@p961) :args ((forall @t9 (=> @t7 @t2193)))) % 1.11/1.39 (step @p963 :rule trans :premises (@p962 @p960)) % 1.11/1.39 (step @p964 :rule refl :args ((_ @t143 @t630))) % 1.11/1.39 (step @p965 :rule refl :args (@t1169)) % 1.11/1.39 (step @p966 :rule cong :premises (@p965) :args (@t2190)) % 1.11/1.39 (step @p967 :rule trans :premises (@p966 @p964)) % 1.11/1.39 (step @p968 :rule refl :args (@t143)) % 1.11/1.39 (step @p969 :rule ho_cong :premises (@p968 @p965)) % 1.11/1.39 (step @p970 :rule cong :premises (@p969 @p967) :args ((= (_ @t143 @t1169) @t2190))) % 1.11/1.39 (step @p971 :rule symm :premises (@p970)) % 1.11/1.39 (step @p972 :rule refl :args (@t928)) % 1.11/1.39 (step @p973 :rule eq_resolve :premises (@p972 @p971)) % 1.11/1.39 (step @p974 :rule refl :args (@t630)) % 1.11/1.39 (step @p975 :rule cong :premises (@p974 @p965) :args ((= @t630 @t1169))) % 1.11/1.39 (step @p976 :rule symm :premises (@p975)) % 1.11/1.39 (step @p977 :rule eq_resolve :premises (@p974 @p976)) % 1.11/1.39 (step @p978 :rule ho_cong :premises (@p968 @p977)) % 1.11/1.39 (step @p979 :rule trans :premises (@p978 @p973)) % 1.11/1.39 (step @p980 :rule refl :args ((tptp.in @t630 @t925))) % 1.11/1.39 (step @p981 :rule cong :premises (@p965 @p898) :args (@t2191)) % 1.11/1.39 (step @p982 :rule trans :premises (@p981 @p980)) % 1.11/1.39 (step @p983 :rule refl :args (tptp.in)) % 1.11/1.39 (step @p984 :rule ho_cong :premises (@p983 @p965)) % 1.11/1.39 (step @p985 :rule ho_cong :premises (@p984 @p898)) % 1.11/1.39 (step @p986 :rule cong :premises (@p985 @p982) :args ((= (_ @t2195 @t925) @t2191))) % 1.11/1.39 (step @p987 :rule symm :premises (@p986)) % 1.11/1.39 (step @p988 :rule refl :args (@t929)) % 1.11/1.39 (step @p989 :rule eq_resolve :premises (@p988 @p987)) % 1.11/1.39 (step @p990 :rule ho_cong :premises (@p983 @p977)) % 1.11/1.39 (step @p991 :rule ho_cong :premises (@p990 @p898)) % 1.11/1.39 (step @p992 :rule trans :premises (@p991 @p989)) % 1.11/1.39 (step @p993 :rule cong :premises (@p992) :args (@t2196)) % 1.11/1.39 (step @p994 :rule refl :args (@t1265)) % 1.11/1.39 (step @p995 :rule refl :args (@t352)) % 1.11/1.39 (step @p996 :rule cong :premises (@p995 @p994) :args ((= @t352 @t1265))) % 1.11/1.39 (step @p997 :rule symm :premises (@p996)) % 1.11/1.39 (step @p998 :rule eq_resolve :premises (@p995 @p997)) % 1.11/1.39 (step @p999 :rule cong :premises (@p998) :args (@t2197)) % 1.11/1.39 (step @p1000 :rule nary_cong :premises (@p999 @p993 @p979) :args (@t2198)) % 1.11/1.39 (step @p1001 :rule cong :premises (@p1000) :args ((forall @t70 @t2198))) % 1.11/1.39 (step @p1002 :rule aci_norm :args ((= (or @t2197 (or @t2196 @t928)) @t2198))) % 1.11/1.39 (step @p1003 :rule bool-impl-elim :args (@t929 @t928)) % 1.11/1.39 (step @p1004 :rule refl :args (@t2197)) % 1.11/1.39 (step @p1005 :rule nary_cong :premises (@p1004 @p1003) :args ((or @t2197 @t930))) % 1.11/1.39 (step @p1006 :rule trans :premises (@p1005 @p1002)) % 1.11/1.39 (step @p1007 :rule bool-impl-elim :args (@t352 @t930)) % 1.11/1.39 (step @p1008 :rule trans :premises (@p1007 @p1006)) % 1.11/1.39 (step @p1009 :rule cong :premises (@p1008) :args (@t931)) % 1.11/1.39 (step @p1010 :rule trans :premises (@p1009 @p1001)) % 1.11/1.39 (step @p1011 :rule cong :premises (@p748 @p1010) :args (@t932)) % 1.11/1.39 (step @p1012 :rule cong :premises (@p1011) :args (@t933)) % 1.11/1.39 (step @p1013 :rule trans :premises (@p1012 @p963)) % 1.11/1.39 (step @p1014 :rule cong :premises (@p1013 @p945) :args (@t934)) % 1.11/1.39 (step @p1015 :rule cong :premises (@p1014) :args (@t935)) % 1.11/1.39 (step @p1016 :rule trans :premises (@p1015 @p934)) % 1.11/1.39 (step @p1017 :rule beta-reduce :args ((= (_ @t2199 @t925) @t2169))) % 1.11/1.39 (step @p1018 :rule refl :args (@t925)) % 1.11/1.39 (step @p1019 :rule beta-reduce :args ((= (_ @t2200 @t1) @t2199))) % 1.11/1.39 (step @p1020 :rule refl :args (@t1)) % 1.11/1.39 (step @p1021 :rule beta-reduce :args ((= @t2201 @t2200))) % 1.11/1.39 (step @p1022 :rule ho_cong :premises (@p1021 @p1020)) % 1.11/1.39 (step @p1023 :rule trans :premises (@p1022 @p1019)) % 1.11/1.39 (step @p1024 :rule ho_cong :premises (@p1023 @p1018)) % 1.11/1.39 (step @p1025 :rule trans :premises (@p1024 @p1017)) % 1.11/1.39 (step @p1026 :rule cong :premises (@p1025 @p1016) :args (@t2204)) % 1.11/1.39 (step @p1027 :rule cong :premises (@p1026) :args (@t2205)) % 1.11/1.39 (step @p1028 :rule trans :premises (@p1027 @p919)) % 1.11/1.39 (step @p1029 :rule refl :args (tptp.brelnall2)) % 1.11/1.39 (step @p1030 :rule cong :premises (@p1029 @p1028) :args ((= tptp.brelnall2 @t2205))) % 1.11/1.39 (step @p1031 :rule refl :args (@t935)) % 1.11/1.39 (step @p1032 :rule ho_cong :premises (@p207 @p753)) % 1.11/1.39 (step @p1033 :rule ho_cong :premises (@p1032 @p1020)) % 1.11/1.39 (step @p1034 :rule ho_cong :premises (@p1033 @p1018)) % 1.11/1.39 (step @p1035 :rule cong :premises (@p1034 @p1031) :args (@t937)) % 1.11/1.39 (step @p1036 :rule cong :premises (@p1035) :args (@t939)) % 1.11/1.39 (step @p1037 :rule cong :premises (@p1029 @p1036) :args (@t941)) % 1.11/1.39 (step @p1038 :rule trans :premises (@p1037 @p1030)) % 1.11/1.39 (step @p1039 :rule eq_resolve :premises (@p199 @p1038)) % 1.11/1.39 (step @p1040 :rule cong :premises (@p1039 @p882) :args (@t2206)) % 1.11/1.39 (step @p1041 :rule refl :args (tptp.brelnall1)) % 1.11/1.39 (step @p1042 :rule cong :premises (@p1041 @p1028) :args ((= tptp.brelnall1 @t2205))) % 1.11/1.39 (step @p1043 :rule cong :premises (@p1041 @p1036) :args (@t940)) % 1.11/1.39 (step @p1044 :rule trans :premises (@p1043 @p1042)) % 1.11/1.39 (step @p1045 :rule eq_resolve :premises (@p198 @p1044)) % 1.11/1.39 (step @p1046 :rule cong :premises (@p1045 @p1040) :args (@t2207)) % 1.11/1.39 (step @p1047 :rule refl :args ((tptp.in @t2210 @t895))) % 1.11/1.39 (step @p1048 :rule refl :args (@t1213)) % 1.11/1.39 (step @p1049 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t2209))) % 1.11/1.39 (step @p1050 :rule refl :args (@t1214)) % 1.11/1.39 (step @p1051 :rule refl :args (@t19)) % 1.11/1.39 (step @p1052 :rule cong :premises (@p1051 @p1050) :args (@t1215)) % 1.11/1.39 (step @p1053 :rule cong :premises (@p1052) :args (@t1216)) % 1.11/1.39 (step @p1054 :rule refl :args (@t1)) % 1.11/1.39 (step @p1055 :rule cong :premises (@p769 @p1054 @p1053) :args (@t1217)) % 1.11/1.39 (step @p1056 :rule trans :premises (@p1055 @p1049)) % 1.11/1.39 (step @p1057 :rule cong :premises (@p1056 @p1048) :args (@t1218)) % 1.11/1.39 (step @p1058 :rule trans :premises (@p1057 @p1047)) % 1.11/1.39 (step @p1059 :rule ho_cong :premises (@p983 @p1056)) % 1.11/1.39 (step @p1060 :rule ho_cong :premises (@p1059 @p1048)) % 1.11/1.39 (step @p1061 :rule cong :premises (@p1060 @p1058) :args ((= (_ (_ tptp.in @t1217) @t1213) @t1218))) % 1.11/1.39 (step @p1062 :rule symm :premises (@p1061)) % 1.11/1.39 (step @p1063 :rule refl :args (@t2211)) % 1.11/1.39 (step @p1064 :rule eq_resolve :premises (@p1063 @p1062)) % 1.11/1.39 (step @p1065 :rule refl :args (@t895)) % 1.11/1.39 (step @p1066 :rule cong :premises (@p1065 @p1048) :args ((= @t895 @t1213))) % 1.11/1.39 (step @p1067 :rule symm :premises (@p1066)) % 1.11/1.39 (step @p1068 :rule eq_resolve :premises (@p1065 @p1067)) % 1.11/1.39 (step @p1069 :rule refl :args (@t841)) % 1.11/1.39 (step @p1070 :rule ho_cong :premises (@p1069 @p1053)) % 1.11/1.39 (step @p1071 :rule cong :premises (@p1070 @p1056) :args ((= (_ @t841 @t1216) @t1217))) % 1.11/1.39 (step @p1072 :rule symm :premises (@p1071)) % 1.11/1.39 (step @p1073 :rule refl :args (@t2210)) % 1.11/1.39 (step @p1074 :rule eq_resolve :premises (@p1073 @p1072)) % 1.11/1.39 (step @p1075 :rule refl :args (@t908)) % 1.11/1.39 (step @p1076 :rule cong :premises (@p1075 @p1050) :args ((= @t908 @t1214))) % 1.11/1.39 (step @p1077 :rule symm :premises (@p1076)) % 1.11/1.39 (step @p1078 :rule eq_resolve :premises (@p1075 @p1077)) % 1.11/1.39 (step @p1079 :rule cong :premises (@p1051 @p1078) :args (@t2208)) % 1.11/1.39 (step @p1080 :rule cong :premises (@p1079) :args (@t2209)) % 1.11/1.39 (step @p1081 :rule ho_cong :premises (@p1069 @p1080)) % 1.11/1.39 (step @p1082 :rule trans :premises (@p1081 @p1074)) % 1.11/1.39 (step @p1083 :rule ho_cong :premises (@p983 @p1082)) % 1.11/1.39 (step @p1084 :rule ho_cong :premises (@p1083 @p1068)) % 1.11/1.39 (step @p1085 :rule trans :premises (@p1084 @p1064)) % 1.11/1.39 (step @p1086 :rule refl :args (@t1221)) % 1.11/1.39 (step @p1087 :rule nary_cong :premises (@p1086 @p1085) :args (@t2212)) % 1.11/1.39 (step @p1088 :rule cong :premises (@p1087) :args ((forall @t914 @t2212))) % 1.11/1.39 (step @p1089 :rule bool-impl-elim :args (@t1220 @t2211)) % 1.11/1.39 (step @p1090 :rule cong :premises (@p1089) :args ((forall @t914 (=> @t1220 @t2211)))) % 1.11/1.39 (step @p1091 :rule trans :premises (@p1090 @p1088)) % 1.11/1.39 (step @p1092 :rule refl :args (@t895)) % 1.11/1.39 (step @p1093 :rule beta-reduce :args ((= @t2213 @t908))) % 1.11/1.39 (step @p1094 :rule refl :args (@t19)) % 1.11/1.39 (step @p1095 :rule cong :premises (@p1094 @p1093) :args (@t2214)) % 1.11/1.39 (step @p1096 :rule cong :premises (@p1095) :args (@t2215)) % 1.11/1.39 (step @p1097 :rule refl :args (@t841)) % 1.11/1.39 (step @p1098 :rule ho_cong :premises (@p1097 @p1096)) % 1.11/1.39 (step @p1099 :rule beta-reduce :args ((= (_ @t2216 @t917) (_ @t841 @t2215)))) % 1.11/1.39 (step @p1100 :rule trans :premises (@p1099 @p1098)) % 1.11/1.39 (step @p1101 :rule refl :args (@t917)) % 1.11/1.39 (step @p1102 :rule beta-reduce :args ((= (_ @t2217 @t1) @t2216))) % 1.11/1.39 (step @p1103 :rule beta-reduce :args ((= @t2218 @t2217))) % 1.11/1.39 (step @p1104 :rule ho_cong :premises (@p1103 @p1020)) % 1.11/1.39 (step @p1105 :rule trans :premises (@p1104 @p1102)) % 1.11/1.39 (step @p1106 :rule ho_cong :premises (@p1105 @p1101)) % 1.11/1.39 (step @p1107 :rule trans :premises (@p1106 @p1100)) % 1.11/1.39 (step @p1108 :rule refl :args (tptp.in)) % 1.11/1.39 (step @p1109 :rule ho_cong :premises (@p1108 @p1107)) % 1.11/1.39 (step @p1110 :rule ho_cong :premises (@p1109 @p1092)) % 1.11/1.39 (step @p1111 :rule refl :args ((tptp.in @t908 @t1))) % 1.11/1.39 (step @p1112 :rule cong :premises (@p1050 @p1054) :args (@t1219)) % 1.11/1.39 (step @p1113 :rule trans :premises (@p1112 @p1111)) % 1.11/1.39 (step @p1114 :rule ho_cong :premises (@p983 @p1050)) % 1.11/1.39 (step @p1115 :rule ho_cong :premises (@p1114 @p1054)) % 1.11/1.39 (step @p1116 :rule cong :premises (@p1115 @p1113) :args ((= (_ (_ tptp.in @t1214) @t1) @t1219))) % 1.11/1.39 (step @p1117 :rule symm :premises (@p1116)) % 1.11/1.39 (step @p1118 :rule refl :args (@t911)) % 1.11/1.39 (step @p1119 :rule eq_resolve :premises (@p1118 @p1117)) % 1.11/1.39 (step @p1120 :rule ho_cong :premises (@p983 @p1078)) % 1.11/1.39 (step @p1121 :rule ho_cong :premises (@p1120 @p1054)) % 1.11/1.39 (step @p1122 :rule trans :premises (@p1121 @p1119)) % 1.11/1.39 (step @p1123 :rule nary_cong :premises (@p702 @p1122) :args (@t2219)) % 1.11/1.39 (step @p1124 :rule cong :premises (@p1123) :args ((forall @t9 @t2219))) % 1.11/1.39 (step @p1125 :rule bool-impl-elim :args (@t7 @t911)) % 1.11/1.39 (step @p1126 :rule cong :premises (@p1125) :args (@t912)) % 1.11/1.39 (step @p1127 :rule trans :premises (@p1126 @p1124)) % 1.11/1.39 (step @p1128 :rule cong :premises (@p1127 @p1110) :args (@t2221)) % 1.11/1.39 (step @p1129 :rule cong :premises (@p1128) :args (@t2222)) % 1.11/1.39 (step @p1130 :rule trans :premises (@p1129 @p1091)) % 1.11/1.39 (step @p1131 :rule refl :args (tptp.lam2p)) % 1.11/1.39 (step @p1132 :rule cong :premises (@p1131 @p1130) :args ((= tptp.lam2p @t2222))) % 1.11/1.39 (step @p1133 :rule eq-symm :args (@t908 @t19)) % 1.11/1.39 (step @p1134 :rule cong :premises (@p1133) :args (@t909)) % 1.11/1.39 (step @p1135 :rule ho_cong :premises (@p1097 @p1134)) % 1.11/1.39 (step @p1136 :rule cong :premises (@p1135) :args (@t1165)) % 1.11/1.39 (step @p1137 :rule trans :premises (@p210 @p1136)) % 1.11/1.39 (step @p1138 :rule ho_cong :premises (@p1137 @p753)) % 1.11/1.39 (step @p1139 :rule ho_cong :premises (@p1138 @p1020)) % 1.11/1.39 (step @p1140 :rule ho_cong :premises (@p1139 @p1101)) % 1.11/1.39 (step @p1141 :rule ho_cong :premises (@p1108 @p1140)) % 1.11/1.39 (step @p1142 :rule ho_cong :premises (@p1141 @p1092)) % 1.11/1.39 (step @p1143 :rule refl :args (@t912)) % 1.11/1.39 (step @p1144 :rule cong :premises (@p1143 @p1142) :args (@t922)) % 1.11/1.39 (step @p1145 :rule cong :premises (@p1144) :args (@t923)) % 1.11/1.39 (step @p1146 :rule cong :premises (@p1131 @p1145) :args (@t924)) % 1.11/1.39 (step @p1147 :rule trans :premises (@p1146 @p1132)) % 1.11/1.39 (step @p1148 :rule eq_resolve :premises (@p197 @p1147)) % 1.11/1.39 (step @p1149 :rule cong :premises (@p1148 @p1046) :args (@t2223)) % 1.11/1.39 (step @p1150 :rule quant-merge-prenex :args ((= (forall @t914 @t2225) @t1233))) % 1.11/1.39 (step @p1151 :rule alpha_equiv :args (@t2226 (@list @t1227) @t2061)) % 1.11/1.39 (step @p1152 :rule quant-unused-vars :args ((= @t2227 @t1230))) % 1.11/1.39 (step @p1153 :rule nary_cong :premises (@p1152 @p1151) :args (@t2228)) % 1.11/1.39 (step @p1154 :rule quant-miniscope-and :args ((= @t2229 @t2228))) % 1.11/1.39 (step @p1155 :rule trans :premises (@p1154 @p1153)) % 1.11/1.39 (step @p1156 :rule nary_cong :premises (@p1086 @p1155) :args (@t2230)) % 1.11/1.39 (step @p1157 :rule quant-miniscope-or :args ((= @t2225 @t2230))) % 1.11/1.39 (step @p1158 :rule trans :premises (@p1157 @p1156)) % 1.11/1.39 (step @p1159 :rule symm :premises (@p1158)) % 1.11/1.39 (step @p1160 :rule cong :premises (@p1159) :args ((forall @t914 (or @t1221 (and @t1230 @t2232))))) % 1.11/1.39 (step @p1161 :rule trans :premises (@p1160 @p1150)) % 1.11/1.39 (step @p1162 :rule refl :args (@t2232)) % 1.11/1.39 (step @p1163 :rule refl :args ((tptp.subset @t2210 @t672))) % 1.11/1.39 (step @p1164 :rule cong :premises (@p1056 @p897) :args (@t1230)) % 1.11/1.39 (step @p1165 :rule trans :premises (@p1164 @p1163)) % 1.11/1.39 (step @p1166 :rule refl :args (tptp.subset)) % 1.11/1.39 (step @p1167 :rule ho_cong :premises (@p1166 @p1056)) % 1.11/1.39 (step @p1168 :rule ho_cong :premises (@p1167 @p897)) % 1.11/1.39 (step @p1169 :rule cong :premises (@p1168 @p1165) :args ((= (_ (_ tptp.subset @t1217) @t1180) @t1230))) % 1.11/1.39 (step @p1170 :rule symm :premises (@p1169)) % 1.11/1.39 (step @p1171 :rule refl :args (@t2233)) % 1.11/1.39 (step @p1172 :rule eq_resolve :premises (@p1171 @p1170)) % 1.11/1.39 (step @p1173 :rule ho_cong :premises (@p1166 @p1082)) % 1.11/1.39 (step @p1174 :rule ho_cong :premises (@p1173 @p910)) % 1.11/1.39 (step @p1175 :rule trans :premises (@p1174 @p1172)) % 1.11/1.39 (step @p1176 :rule nary_cong :premises (@p1175 @p1162) :args (@t2234)) % 1.11/1.39 (step @p1177 :rule nary_cong :premises (@p1086 @p1176) :args (@t2235)) % 1.11/1.39 (step @p1178 :rule cong :premises (@p1177) :args ((forall @t914 @t2235))) % 1.11/1.39 (step @p1179 :rule trans :premises (@p1178 @p1161)) % 1.11/1.39 (step @p1180 :rule bool-impl-elim :args (@t1220 @t2234)) % 1.11/1.39 (step @p1181 :rule cong :premises (@p1180) :args ((forall @t914 (=> @t1220 @t2234)))) % 1.11/1.39 (step @p1182 :rule trans :premises (@p1181 @p1179)) % 1.11/1.39 (step @p1183 :rule eq-symm :args (@t1223 @t1224)) % 1.11/1.39 (step @p1184 :rule cong :premises (@p1183) :args (@t2236)) % 1.11/1.39 (step @p1185 :rule cong :premises (@p753 @p1020 @p1184) :args (@t2237)) % 1.11/1.39 (step @p1186 :rule refl :args (@t1169)) % 1.11/1.39 (step @p1187 :rule cong :premises (@p1186 @p1185) :args (@t2238)) % 1.11/1.39 (step @p1188 :rule cong :premises (@p1187) :args (@t2239)) % 1.11/1.39 (step @p1189 :rule cong :premises (@p1020 @p1188) :args (@t2240)) % 1.11/1.39 (step @p1190 :rule refl :args (@t1174)) % 1.11/1.39 (step @p1191 :rule cong :premises (@p1190 @p1189) :args (@t2241)) % 1.11/1.39 (step @p1192 :rule cong :premises (@p1191) :args (@t2242)) % 1.11/1.39 (step @p1193 :rule refl :args (@t1173)) % 1.11/1.39 (step @p1194 :rule cong :premises (@p1193 @p1189) :args (@t2243)) % 1.11/1.39 (step @p1195 :rule cong :premises (@p1194) :args (@t2244)) % 1.11/1.39 (step @p1196 :rule nary_cong :premises (@p1195 @p1192) :args (@t2245)) % 1.11/1.39 (step @p1197 :rule cong :premises (@p1196) :args (@t2246)) % 1.11/1.39 (step @p1198 :rule cong :premises (@p1197) :args (@t2247)) % 1.11/1.39 (step @p1199 :rule refl :args (@t1177)) % 1.11/1.39 (step @p1200 :rule nary_cong :premises (@p1199 @p1198) :args (@t2248)) % 1.11/1.39 (step @p1201 :rule cong :premises (@p1200) :args ((forall @t9 @t2248))) % 1.11/1.39 (step @p1202 :rule alpha_equiv :args (@t2251 @t2061 (@list @t1222))) % 1.11/1.39 (step @p1203 :rule cong :premises (@p769 @p1054 @p1202) :args (@t2252)) % 1.11/1.39 (step @p1204 :rule refl :args (@t1169)) % 1.11/1.39 (step @p1205 :rule cong :premises (@p1204 @p1203) :args (@t2253)) % 1.11/1.39 (step @p1206 :rule cong :premises (@p1205) :args (@t2254)) % 1.11/1.39 (step @p1207 :rule cong :premises (@p1054 @p1206) :args (@t2255)) % 1.11/1.39 (step @p1208 :rule refl :args (@t1174)) % 1.11/1.39 (step @p1209 :rule cong :premises (@p1208 @p1207) :args (@t2256)) % 1.11/1.39 (step @p1210 :rule cong :premises (@p1209) :args (@t2257)) % 1.11/1.39 (step @p1211 :rule refl :args (@t1173)) % 1.11/1.39 (step @p1212 :rule cong :premises (@p1211 @p1207) :args (@t2258)) % 1.11/1.39 (step @p1213 :rule cong :premises (@p1212) :args (@t2259)) % 1.11/1.39 (step @p1214 :rule nary_cong :premises (@p1213 @p1210) :args (@t2260)) % 1.11/1.39 (step @p1215 :rule cong :premises (@p1214) :args (@t2261)) % 1.11/1.39 (step @p1216 :rule cong :premises (@p1215) :args (@t2262)) % 1.11/1.39 (step @p1217 :rule nary_cong :premises (@p682 @p1216) :args (@t2263)) % 1.11/1.39 (step @p1218 :rule cong :premises (@p1217) :args ((forall @t9 @t2263))) % 1.11/1.39 (step @p1219 :rule trans :premises (@p1218 @p1201)) % 1.11/1.39 (step @p1220 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t2265))) % 1.11/1.39 (step @p1221 :rule refl :args (@t1224)) % 1.11/1.39 (step @p1222 :rule cong :premises (@p1050 @p1221) :args (@t2249)) % 1.11/1.39 (step @p1223 :rule cong :premises (@p1222) :args (@t2251)) % 1.11/1.39 (step @p1224 :rule cong :premises (@p769 @p1054 @p1223) :args (@t2252)) % 1.11/1.39 (step @p1225 :rule trans :premises (@p1224 @p1220)) % 1.11/1.39 (step @p1226 :rule ho_cong :premises (@p1069 @p1223)) % 1.11/1.39 (step @p1227 :rule cong :premises (@p1226 @p1225) :args ((= (_ @t841 @t2251) @t2252))) % 1.11/1.39 (step @p1228 :rule symm :premises (@p1227)) % 1.11/1.39 (step @p1229 :rule refl :args (@t2266)) % 1.11/1.39 (step @p1230 :rule eq_resolve :premises (@p1229 @p1228)) % 1.11/1.39 (step @p1231 :rule cong :premises (@p1078 @p1221) :args (@t2264)) % 1.11/1.39 (step @p1232 :rule cong :premises (@p1231) :args (@t2265)) % 1.11/1.39 (step @p1233 :rule ho_cong :premises (@p1069 @p1232)) % 1.11/1.39 (step @p1234 :rule trans :premises (@p1233 @p1230)) % 1.11/1.39 (step @p1235 :rule cong :premises (@p1204 @p1234) :args (@t2267)) % 1.11/1.39 (step @p1236 :rule cong :premises (@p1235) :args (@t2268)) % 1.11/1.39 (step @p1237 :rule cong :premises (@p1054 @p1236) :args (@t2269)) % 1.11/1.39 (step @p1238 :rule cong :premises (@p1208 @p1237) :args (@t2270)) % 1.11/1.39 (step @p1239 :rule cong :premises (@p1238) :args (@t2271)) % 1.11/1.39 (step @p1240 :rule cong :premises (@p1211 @p1237) :args (@t2272)) % 1.11/1.39 (step @p1241 :rule cong :premises (@p1240) :args (@t2273)) % 1.11/1.39 (step @p1242 :rule nary_cong :premises (@p1241 @p1239) :args (@t2274)) % 1.11/1.39 (step @p1243 :rule cong :premises (@p1242) :args ((forall @t1175 @t2274))) % 1.11/1.39 (step @p1244 :rule eq-symm :args (@t1224 @t908)) % 1.11/1.39 (step @p1245 :rule cong :premises (@p1244) :args (@t2275)) % 1.11/1.39 (step @p1246 :rule ho_cong :premises (@p1097 @p1245)) % 1.11/1.39 (step @p1247 :rule cong :premises (@p1186 @p1246) :args (@t2276)) % 1.11/1.39 (step @p1248 :rule cong :premises (@p1247) :args (@t2277)) % 1.11/1.39 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 1.11/1.39 ; trust TRUST_THEORY_REWRITE % 1.11/1.39 (step @p1249 :rule trust :premises () :args ((= @t2278 @t2277))) % 1.11/1.39 (step @p1250 :rule trans :premises (@p1249 @p1248)) % 1.11/1.39 (step @p1251 :rule cong :premises (@p1020 @p1250) :args (@t2279)) % 1.11/1.39 (step @p1252 :rule cong :premises (@p1190 @p1251) :args (@t2280)) % 1.11/1.39 (step @p1253 :rule cong :premises (@p1252) :args (@t2281)) % 1.11/1.39 (step @p1254 :rule cong :premises (@p1193 @p1251) :args (@t2282)) % 1.11/1.39 (step @p1255 :rule cong :premises (@p1254) :args (@t2283)) % 1.11/1.39 (step @p1256 :rule nary_cong :premises (@p1255 @p1253) :args (@t2284)) % 1.11/1.39 (step @p1257 :rule cong :premises (@p1256) :args (@t2285)) % 1.11/1.39 (step @p1258 :rule trans :premises (@p1257 @p1243)) % 1.11/1.39 (step @p1259 :rule cong :premises (@p1258) :args (@t2286)) % 1.11/1.39 (step @p1260 :rule nary_cong :premises (@p1199 @p1259) :args (@t2287)) % 1.11/1.39 (step @p1261 :rule cong :premises (@p1260) :args (@t2288)) % 1.11/1.39 (step @p1262 :rule trans :premises (@p1261 @p1219)) % 1.11/1.39 (step @p1263 :rule refl :args (@t2233)) % 1.11/1.39 (step @p1264 :rule nary_cong :premises (@p1263 @p1262) :args (@t2289)) % 1.11/1.39 (step @p1265 :rule beta-reduce :args ((= (_ @t2293 @t2210) @t2289))) % 1.11/1.39 (step @p1266 :rule trans :premises (@p1265 @p1264)) % 1.11/1.39 (step @p1267 :rule beta-reduce :args ((= (_ @t2294 @t1) @t2293))) % 1.11/1.39 (step @p1268 :rule beta-reduce :args ((= @t2295 @t2294))) % 1.11/1.39 (step @p1269 :rule ho_cong :premises (@p1268 @p1020)) % 1.11/1.39 (step @p1270 :rule trans :premises (@p1269 @p1267)) % 1.11/1.39 (step @p1271 :rule ho_cong :premises (@p1270 @p1107)) % 1.11/1.39 (step @p1272 :rule trans :premises (@p1271 @p1266)) % 1.11/1.39 (step @p1273 :rule cong :premises (@p1127 @p1272) :args (@t2297)) % 1.11/1.39 (step @p1274 :rule cong :premises (@p1273) :args (@t2298)) % 1.11/1.39 (step @p1275 :rule trans :premises (@p1274 @p1182)) % 1.11/1.39 (step @p1276 :rule refl :args (tptp.lamp)) % 1.11/1.39 (step @p1277 :rule cong :premises (@p1276 @p1275) :args ((= tptp.lamp @t2298))) % 1.11/1.39 (step @p1278 :rule refl :args (@t2291)) % 1.11/1.39 (step @p1279 :rule nary_cong :premises (@p702 @p1278) :args (@t2299)) % 1.11/1.39 (step @p1280 :rule cong :premises (@p1279) :args ((forall @t9 @t2299))) % 1.11/1.39 (step @p1281 :rule bool-impl-elim :args (@t7 @t2291)) % 1.11/1.39 (step @p1282 :rule cong :premises (@p1281) :args ((forall @t9 (=> @t7 @t2291)))) % 1.11/1.39 (step @p1283 :rule trans :premises (@p1282 @p1280)) % 1.11/1.39 (step @p1284 :rule cong :premises (@p992) :args (@t1159)) % 1.11/1.39 (step @p1285 :rule cong :premises (@p1054 @p1284) :args (@t2300)) % 1.11/1.39 (step @p1286 :rule cong :premises (@p1208 @p1285) :args (@t2301)) % 1.11/1.39 (step @p1287 :rule cong :premises (@p1286) :args (@t2302)) % 1.11/1.39 (step @p1288 :rule cong :premises (@p1211 @p1285) :args (@t2303)) % 1.11/1.39 (step @p1289 :rule cong :premises (@p1288) :args (@t2304)) % 1.11/1.39 (step @p1290 :rule nary_cong :premises (@p1289 @p1287) :args (@t2305)) % 1.11/1.39 (step @p1291 :rule cong :premises (@p1290) :args ((forall @t1175 @t2305))) % 1.11/1.39 (step @p1292 :rule eq-symm :args (@t2300 @t1174)) % 1.11/1.39 (step @p1293 :rule cong :premises (@p1292) :args (@t2306)) % 1.11/1.39 (step @p1294 :rule refl :args (@t2304)) % 1.11/1.39 (step @p1295 :rule nary_cong :premises (@p1294 @p1293) :args (@t2307)) % 1.11/1.39 (step @p1296 :rule cong :premises (@p1295) :args (@t2308)) % 1.11/1.39 (step @p1297 :rule trans :premises (@p1296 @p1291)) % 1.11/1.39 (step @p1298 :rule cong :premises (@p1297) :args (@t2309)) % 1.11/1.39 (step @p1299 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t1175 (or @t2311 (not (= @t2310 @t1174)))))) @t1159) @t2309))) % 1.11/1.39 (step @p1300 :rule trans :premises (@p1299 @p1298)) % 1.11/1.39 (step @p1301 :rule refl :args (@t1159)) % 1.11/1.39 (step @p1302 :rule eq-symm :args (@t1174 @t2310)) % 1.11/1.39 (step @p1303 :rule cong :premises (@p1302) :args (@t2312)) % 1.11/1.39 (step @p1304 :rule refl :args (@t2311)) % 1.11/1.39 (step @p1305 :rule nary_cong :premises (@p1304 @p1303) :args (@t2313)) % 1.11/1.39 (step @p1306 :rule cong :premises (@p1305) :args (@t2314)) % 1.11/1.39 (step @p1307 :rule cong :premises (@p1306) :args (@t2315)) % 1.11/1.39 (step @p1308 :rule cong :premises (@p1307) :args ((lambda @t150 @t2315))) % 1.11/1.39 (step @p1309 :rule ho_cong :premises (@p1308 @p1301)) % 1.11/1.39 (step @p1310 :rule trans :premises (@p1309 @p1300)) % 1.11/1.39 (step @p1311 :rule refl :args (@t1159)) % 1.11/1.39 (step @p1312 :rule alpha_equiv :args (@t2316 @t2061 (@list @t1173))) % 1.11/1.39 (step @p1313 :rule cong :premises (@p1312) :args (@t2317)) % 1.11/1.39 (step @p1314 :rule cong :premises (@p1313) :args (@t2318)) % 1.11/1.39 (step @p1315 :rule ho_cong :premises (@p1314 @p1311)) % 1.11/1.39 (step @p1316 :rule trans :premises (@p1315 @p1310)) % 1.11/1.39 (step @p1317 :rule beta-reduce :args ((= @t2319 @t2318))) % 1.11/1.39 (step @p1318 :rule ho_cong :premises (@p1317 @p1301)) % 1.11/1.39 (step @p1319 :rule trans :premises (@p1318 @p1316)) % 1.11/1.39 (step @p1320 :rule cong :premises (@p748 @p1319) :args (@t2320)) % 1.11/1.39 (step @p1321 :rule cong :premises (@p1320) :args (@t2321)) % 1.11/1.39 (step @p1322 :rule trans :premises (@p1321 @p1283)) % 1.11/1.39 (step @p1323 :rule nary_cong :premises (@p1025 @p1322) :args ((and @t2203 @t2321))) % 1.11/1.39 (step @p1324 :rule ho_cong :premises (@p874 @p1020)) % 1.11/1.39 (step @p1325 :rule ho_cong :premises (@p1324 @p1301)) % 1.11/1.39 (step @p1326 :rule cong :premises (@p748 @p1325) :args (@t1160)) % 1.11/1.39 (step @p1327 :rule cong :premises (@p1326) :args (@t1161)) % 1.11/1.39 (step @p1328 :rule nary_cong :premises (@p1034 @p1327) :args (@t1162)) % 1.11/1.39 (step @p1329 :rule trans :premises (@p1328 @p1323)) % 1.11/1.39 (step @p1330 :rule cong :premises (@p1329) :args (@t1163)) % 1.11/1.39 (step @p1331 :rule trans :premises (@p208 @p1330)) % 1.11/1.39 (step @p1332 :rule ho_cong :premises (@p1331 @p753)) % 1.11/1.39 (step @p1333 :rule ho_cong :premises (@p1332 @p1020)) % 1.11/1.39 (step @p1334 :rule ho_cong :premises (@p1333 @p1140)) % 1.11/1.39 (step @p1335 :rule cong :premises (@p1143 @p1334) :args (@t919)) % 1.11/1.39 (step @p1336 :rule cong :premises (@p1335) :args (@t920)) % 1.11/1.39 (step @p1337 :rule cong :premises (@p1276 @p1336) :args (@t921)) % 1.11/1.39 (step @p1338 :rule trans :premises (@p1337 @p1277)) % 1.11/1.39 (step @p1339 :rule eq_resolve :premises (@p196 @p1338)) % 1.11/1.39 (step @p1340 :rule cong :premises (@p1339 @p1149) :args (@t2322)) % 1.11/1.39 (step @p1341 :rule ho_cong :premises (@p1270 @p1135)) % 1.11/1.39 (step @p1342 :rule trans :premises (@p1341 @p1266)) % 1.11/1.39 (step @p1343 :rule cong :premises (@p1127 @p1342) :args (@t2323)) % 1.11/1.39 (step @p1344 :rule cong :premises (@p1343) :args (@t2324)) % 1.11/1.39 (step @p1345 :rule trans :premises (@p1344 @p1182)) % 1.11/1.39 (step @p1346 :rule refl :args (tptp.lamProp)) % 1.11/1.39 (step @p1347 :rule cong :premises (@p1346 @p1345) :args ((= tptp.lamProp @t2324))) % 1.11/1.39 (step @p1348 :rule refl :args (@t910)) % 1.11/1.39 (step @p1349 :rule ho_cong :premises (@p1333 @p1348)) % 1.11/1.39 (step @p1350 :rule cong :premises (@p1143 @p1349) :args (@t913)) % 1.11/1.39 (step @p1351 :rule cong :premises (@p1350) :args (@t915)) % 1.11/1.39 (step @p1352 :rule cong :premises (@p1346 @p1351) :args (@t916)) % 1.11/1.39 (step @p1353 :rule trans :premises (@p1352 @p1347)) % 1.11/1.39 (step @p1354 :rule eq_resolve :premises (@p195 @p1353)) % 1.11/1.39 (step @p1355 :rule cong :premises (@p1354 @p1340) :args (@t2325)) % 1.11/1.39 (step @p1356 :rule refl :args ((tptp.in @t871 @t895))) % 1.11/1.39 (step @p1357 :rule refl :args (@t871)) % 1.11/1.39 (step @p1358 :rule cong :premises (@p1357 @p1048) :args (@t1234)) % 1.11/1.39 (step @p1359 :rule trans :premises (@p1358 @p1356)) % 1.11/1.39 (step @p1360 :rule refl :args (@t896)) % 1.11/1.39 (step @p1361 :rule ho_cong :premises (@p1360 @p1048)) % 1.11/1.39 (step @p1362 :rule cong :premises (@p1361 @p1359) :args ((= (_ @t896 @t1213) @t1234))) % 1.11/1.39 (step @p1363 :rule symm :premises (@p1362)) % 1.11/1.39 (step @p1364 :rule refl :args (@t897)) % 1.11/1.39 (step @p1365 :rule eq_resolve :premises (@p1364 @p1363)) % 1.11/1.39 (step @p1366 :rule ho_cong :premises (@p1360 @p1068)) % 1.11/1.39 (step @p1367 :rule trans :premises (@p1366 @p1365)) % 1.11/1.39 (step @p1368 :rule refl :args (@t1179)) % 1.11/1.39 (step @p1369 :rule refl :args ((tptp.subset @t871 @t672))) % 1.11/1.39 (step @p1370 :rule cong :premises (@p1357 @p897) :args (@t1181)) % 1.11/1.39 (step @p1371 :rule trans :premises (@p1370 @p1369)) % 1.11/1.39 (step @p1372 :rule refl :args (@t2326)) % 1.11/1.39 (step @p1373 :rule ho_cong :premises (@p1372 @p897)) % 1.11/1.39 (step @p1374 :rule cong :premises (@p1373 @p1371) :args ((= (_ @t2326 @t1180) @t1181))) % 1.11/1.39 (step @p1375 :rule symm :premises (@p1374)) % 1.11/1.39 (step @p1376 :rule refl :args (@t2327)) % 1.11/1.39 (step @p1377 :rule eq_resolve :premises (@p1376 @p1375)) % 1.11/1.39 (step @p1378 :rule ho_cong :premises (@p1372 @p910)) % 1.11/1.39 (step @p1379 :rule trans :premises (@p1378 @p1377)) % 1.11/1.39 (step @p1380 :rule cong :premises (@p1379) :args (@t2328)) % 1.11/1.39 (step @p1381 :rule nary_cong :premises (@p1380 @p1368 @p1367) :args (@t2329)) % 1.11/1.39 (step @p1382 :rule cong :premises (@p1381) :args ((forall @t880 @t2329))) % 1.11/1.39 (step @p1383 :rule aci_norm :args ((= (or @t2330 @t897) @t2329))) % 1.11/1.39 (step @p1384 :rule bool-and-de-morgan :args (@t2327 @t1178 true)) % 1.11/1.39 (step @p1385 :rule nary_cong :premises (@p1384 @p1364) :args ((or @t2332 @t897))) % 1.11/1.39 (step @p1386 :rule trans :premises (@p1385 @p1383)) % 1.11/1.39 (step @p1387 :rule bool-impl-elim :args (@t2331 @t897)) % 1.11/1.39 (step @p1388 :rule trans :premises (@p1387 @p1386)) % 1.11/1.39 (step @p1389 :rule cong :premises (@p1388) :args ((forall @t880 (=> @t2331 @t897)))) % 1.11/1.39 (step @p1390 :rule trans :premises (@p1389 @p1382)) % 1.11/1.39 (step @p1391 :rule refl :args (@t897)) % 1.11/1.39 (step @p1392 :rule beta-reduce :args ((= (_ @t2293 @t871) @t2331))) % 1.11/1.39 (step @p1393 :rule refl :args (@t871)) % 1.11/1.39 (step @p1394 :rule ho_cong :premises (@p1270 @p1393)) % 1.11/1.39 (step @p1395 :rule trans :premises (@p1394 @p1392)) % 1.11/1.39 (step @p1396 :rule cong :premises (@p1395 @p1391) :args (@t2334)) % 1.11/1.39 (step @p1397 :rule cong :premises (@p1396) :args (@t2335)) % 1.11/1.39 (step @p1398 :rule trans :premises (@p1397 @p1390)) % 1.11/1.39 (step @p1399 :rule refl :args (tptp.funcinfuncset)) % 1.11/1.39 (step @p1400 :rule cong :premises (@p1399 @p1398) :args ((= tptp.funcinfuncset @t2335))) % 1.11/1.39 (step @p1401 :rule ho_cong :premises (@p1333 @p1393)) % 1.11/1.39 (step @p1402 :rule cong :premises (@p1401 @p1391) :args (@t904)) % 1.11/1.39 (step @p1403 :rule cong :premises (@p1402) :args (@t905)) % 1.11/1.39 (step @p1404 :rule cong :premises (@p1399 @p1403) :args (@t906)) % 1.11/1.39 (step @p1405 :rule trans :premises (@p1404 @p1400)) % 1.11/1.39 (step @p1406 :rule eq_resolve :premises (@p194 @p1405)) % 1.11/1.39 (step @p1407 :rule cong :premises (@p1406 @p1355) :args (@t2336)) % 1.11/1.39 (step @p1408 :rule aci_norm :args ((= @t2338 @t1239))) % 1.11/1.39 (step @p1409 :rule cong :premises (@p1408) :args (@t2339)) % 1.11/1.39 (step @p1410 :rule quant-merge-prenex :args ((= (forall @t880 @t2341) @t2339))) % 1.11/1.39 (step @p1411 :rule alpha_equiv :args (@t2342 (@list @t1235) @t2061)) % 1.11/1.39 (step @p1412 :rule refl :args (@t1238)) % 1.11/1.39 (step @p1413 :rule nary_cong :premises (@p1412 @p1411) :args (@t2343)) % 1.11/1.39 (step @p1414 :rule quant-miniscope-or :args ((= @t2341 @t2343))) % 1.11/1.39 (step @p1415 :rule trans :premises (@p1414 @p1413)) % 1.11/1.39 (step @p1416 :rule symm :premises (@p1415)) % 1.11/1.39 (step @p1417 :rule cong :premises (@p1416) :args ((forall @t880 (or @t1238 @t2346)))) % 1.11/1.39 (step @p1418 :rule trans :premises (@p1417 @p1410)) % 1.11/1.39 (step @p1419 :rule trans :premises (@p1418 @p1409)) % 1.11/1.39 (step @p1420 :rule refl :args (@t2346)) % 1.11/1.39 (step @p1421 :rule cong :premises (@p1367) :args (@t2347)) % 1.11/1.39 (step @p1422 :rule nary_cong :premises (@p1421 @p1420) :args (@t2348)) % 1.11/1.39 (step @p1423 :rule cong :premises (@p1422) :args ((forall @t880 @t2348))) % 1.11/1.39 (step @p1424 :rule trans :premises (@p1423 @p1419)) % 1.11/1.39 (step @p1425 :rule bool-impl-elim :args (@t897 @t2346)) % 1.11/1.39 (step @p1426 :rule cong :premises (@p1425) :args ((forall @t880 (=> @t897 @t2346)))) % 1.11/1.39 (step @p1427 :rule trans :premises (@p1426 @p1424)) % 1.11/1.39 (step @p1428 :rule refl :args ((tptp.in @t883 @t1))) % 1.11/1.39 (step @p1429 :rule refl :args ((tptp.setunion @t874))) % 1.11/1.39 (step @p1430 :rule refl :args ((tptp.dsetconstr @t1 @t873))) % 1.11/1.39 (step @p1431 :rule refl :args ((tptp.in @t630 @t871))) % 1.11/1.39 (step @p1432 :rule cong :premises (@p965 @p1357) :args (@t1170)) % 1.11/1.39 (step @p1433 :rule trans :premises (@p1432 @p1431)) % 1.11/1.39 (step @p1434 :rule cong :premises (@p1433) :args (@t1171)) % 1.11/1.39 (step @p1435 :rule cong :premises (@p1054 @p1434) :args (@t1172)) % 1.11/1.39 (step @p1436 :rule trans :premises (@p1435 @p1430)) % 1.11/1.39 (step @p1437 :rule cong :premises (@p1436) :args (@t2344)) % 1.11/1.39 (step @p1438 :rule trans :premises (@p1437 @p1429)) % 1.11/1.39 (step @p1439 :rule cong :premises (@p1438 @p1054) :args (@t2345)) % 1.11/1.39 (step @p1440 :rule trans :premises (@p1439 @p1428)) % 1.11/1.39 (step @p1441 :rule ho_cong :premises (@p983 @p1438)) % 1.11/1.39 (step @p1442 :rule ho_cong :premises (@p1441 @p1054)) % 1.11/1.39 (step @p1443 :rule cong :premises (@p1442 @p1440) :args ((= (_ (_ tptp.in @t2344) @t1) @t2345))) % 1.11/1.39 (step @p1444 :rule symm :premises (@p1443)) % 1.11/1.39 (step @p1445 :rule refl :args (@t884)) % 1.11/1.39 (step @p1446 :rule eq_resolve :premises (@p1445 @p1444)) % 1.11/1.39 (step @p1447 :rule refl :args (tptp.setunion)) % 1.11/1.39 (step @p1448 :rule ho_cong :premises (@p1447 @p1436)) % 1.11/1.39 (step @p1449 :rule cong :premises (@p1448 @p1438) :args ((= (_ tptp.setunion @t1172) @t2344))) % 1.11/1.39 (step @p1450 :rule symm :premises (@p1449)) % 1.11/1.39 (step @p1451 :rule refl :args (@t883)) % 1.11/1.39 (step @p1452 :rule eq_resolve :premises (@p1451 @p1450)) % 1.11/1.39 (step @p1453 :rule refl :args (@t408)) % 1.11/1.39 (step @p1454 :rule ho_cong :premises (@p1453 @p1434)) % 1.11/1.39 (step @p1455 :rule cong :premises (@p1454 @p1436) :args ((= (_ @t408 @t1171) @t1172))) % 1.11/1.39 (step @p1456 :rule symm :premises (@p1455)) % 1.11/1.39 (step @p1457 :rule refl :args (@t874)) % 1.11/1.39 (step @p1458 :rule eq_resolve :premises (@p1457 @p1456)) % 1.11/1.39 (step @p1459 :rule ho_cong :premises (@p984 @p1357)) % 1.11/1.39 (step @p1460 :rule cong :premises (@p1459 @p1433) :args ((= (_ @t2195 @t871) @t1170))) % 1.11/1.39 (step @p1461 :rule symm :premises (@p1460)) % 1.11/1.39 (step @p1462 :rule refl :args (@t872)) % 1.11/1.39 (step @p1463 :rule eq_resolve :premises (@p1462 @p1461)) % 1.11/1.39 (step @p1464 :rule ho_cong :premises (@p990 @p1357)) % 1.11/1.39 (step @p1465 :rule trans :premises (@p1464 @p1463)) % 1.11/1.39 (step @p1466 :rule cong :premises (@p1465) :args (@t873)) % 1.11/1.39 (step @p1467 :rule ho_cong :premises (@p1453 @p1466)) % 1.11/1.39 (step @p1468 :rule trans :premises (@p1467 @p1458)) % 1.11/1.39 (step @p1469 :rule ho_cong :premises (@p1447 @p1468)) % 1.11/1.39 (step @p1470 :rule trans :premises (@p1469 @p1452)) % 1.11/1.39 (step @p1471 :rule ho_cong :premises (@p983 @p1470)) % 1.11/1.39 (step @p1472 :rule ho_cong :premises (@p1471 @p1054)) % 1.11/1.39 (step @p1473 :rule trans :premises (@p1472 @p1446)) % 1.11/1.39 (step @p1474 :rule nary_cong :premises (@p702 @p1473) :args (@t2349)) % 1.11/1.39 (step @p1475 :rule cong :premises (@p1474) :args ((forall @t9 @t2349))) % 1.11/1.39 (step @p1476 :rule bool-impl-elim :args (@t7 @t884)) % 1.11/1.39 (step @p1477 :rule cong :premises (@p1476) :args (@t885)) % 1.11/1.39 (step @p1478 :rule trans :premises (@p1477 @p1475)) % 1.11/1.39 (step @p1479 :rule beta-reduce :args ((= (_ @t2350 @t4) @t883))) % 1.11/1.39 (step @p1480 :rule beta-reduce :args ((= (_ @t2351 @t871) @t2350))) % 1.11/1.39 (step @p1481 :rule beta-reduce :args ((= (_ @t2352 @t1) @t2351))) % 1.11/1.39 (step @p1482 :rule beta-reduce :args ((= @t2353 @t2352))) % 1.11/1.39 (step @p1483 :rule ho_cong :premises (@p1482 @p1020)) % 1.11/1.39 (step @p1484 :rule trans :premises (@p1483 @p1481)) % 1.11/1.39 (step @p1485 :rule ho_cong :premises (@p1484 @p1393)) % 1.11/1.39 (step @p1486 :rule trans :premises (@p1485 @p1480)) % 1.11/1.39 (step @p1487 :rule ho_cong :premises (@p1486 @p758)) % 1.11/1.39 (step @p1488 :rule trans :premises (@p1487 @p1479)) % 1.11/1.39 (step @p1489 :rule ho_cong :premises (@p1108 @p1488)) % 1.11/1.39 (step @p1490 :rule ho_cong :premises (@p1489 @p1020)) % 1.11/1.39 (step @p1491 :rule cong :premises (@p748 @p1490) :args (@t2355)) % 1.11/1.39 (step @p1492 :rule cong :premises (@p1491) :args (@t2356)) % 1.11/1.39 (step @p1493 :rule trans :premises (@p1492 @p1478)) % 1.11/1.39 (step @p1494 :rule cong :premises (@p1391 @p1493) :args (@t2357)) % 1.11/1.39 (step @p1495 :rule cong :premises (@p1494) :args (@t2358)) % 1.11/1.39 (step @p1496 :rule trans :premises (@p1495 @p1427)) % 1.11/1.39 (step @p1497 :rule refl :args (tptp.ap2p)) % 1.11/1.39 (step @p1498 :rule cong :premises (@p1497 @p1496) :args ((= tptp.ap2p @t2358))) % 1.11/1.39 (step @p1499 :rule ho_cong :premises (@p209 @p753)) % 1.11/1.39 (step @p1500 :rule ho_cong :premises (@p1499 @p1020)) % 1.11/1.39 (step @p1501 :rule ho_cong :premises (@p1500 @p1393)) % 1.11/1.39 (step @p1502 :rule ho_cong :premises (@p1501 @p758)) % 1.11/1.39 (step @p1503 :rule ho_cong :premises (@p1108 @p1502)) % 1.11/1.39 (step @p1504 :rule ho_cong :premises (@p1503 @p1020)) % 1.11/1.39 (step @p1505 :rule cong :premises (@p748 @p1504) :args (@t890)) % 1.11/1.39 (step @p1506 :rule cong :premises (@p1505) :args (@t891)) % 1.11/1.39 (step @p1507 :rule cong :premises (@p1391 @p1506) :args (@t901)) % 1.11/1.39 (step @p1508 :rule cong :premises (@p1507) :args (@t902)) % 1.11/1.39 (step @p1509 :rule cong :premises (@p1497 @p1508) :args (@t903)) % 1.11/1.39 (step @p1510 :rule trans :premises (@p1509 @p1498)) % 1.11/1.39 (step @p1511 :rule eq_resolve :premises (@p193 @p1510)) % 1.11/1.39 (step @p1512 :rule cong :premises (@p1511 @p1407) :args (@t2359)) % 1.11/1.39 (step @p1513 :rule quant-merge-prenex :args ((= (forall @t880 @t2361) @t1246))) % 1.11/1.39 (step @p1514 :rule alpha_equiv :args (@t2362 (@list @t1241) @t2061)) % 1.11/1.39 (step @p1515 :rule quant-unused-vars :args ((= @t2363 @t1181))) % 1.11/1.39 (step @p1516 :rule nary_cong :premises (@p1515 @p1514) :args (@t2364)) % 1.11/1.39 (step @p1517 :rule quant-miniscope-and :args ((= @t2365 @t2364))) % 1.11/1.39 (step @p1518 :rule trans :premises (@p1517 @p1516)) % 1.11/1.39 (step @p1519 :rule nary_cong :premises (@p1412 @p1518) :args (@t2366)) % 1.11/1.39 (step @p1520 :rule quant-miniscope-or :args ((= @t2361 @t2366))) % 1.11/1.39 (step @p1521 :rule trans :premises (@p1520 @p1519)) % 1.11/1.39 (step @p1522 :rule symm :premises (@p1521)) % 1.11/1.39 (step @p1523 :rule cong :premises (@p1522) :args ((forall @t880 (or @t1238 (and @t1181 @t1178))))) % 1.11/1.39 (step @p1524 :rule trans :premises (@p1523 @p1513)) % 1.11/1.39 (step @p1525 :rule refl :args (@t1178)) % 1.11/1.39 (step @p1526 :rule nary_cong :premises (@p1379 @p1525) :args (@t2331)) % 1.11/1.39 (step @p1527 :rule nary_cong :premises (@p1421 @p1526) :args (@t2367)) % 1.11/1.39 (step @p1528 :rule cong :premises (@p1527) :args ((forall @t880 @t2367))) % 1.11/1.39 (step @p1529 :rule trans :premises (@p1528 @p1524)) % 1.11/1.39 (step @p1530 :rule bool-impl-elim :args (@t897 @t2331)) % 1.11/1.39 (step @p1531 :rule cong :premises (@p1530) :args ((forall @t880 (=> @t897 @t2331)))) % 1.11/1.39 (step @p1532 :rule trans :premises (@p1531 @p1529)) % 1.11/1.39 (step @p1533 :rule cong :premises (@p1391 @p1395) :args (@t2368)) % 1.11/1.39 (step @p1534 :rule cong :premises (@p1533) :args (@t2369)) % 1.11/1.39 (step @p1535 :rule trans :premises (@p1534 @p1532)) % 1.11/1.39 (step @p1536 :rule refl :args (tptp.infuncsetfunc)) % 1.11/1.39 (step @p1537 :rule cong :premises (@p1536 @p1535) :args ((= tptp.infuncsetfunc @t2369))) % 1.11/1.39 (step @p1538 :rule cong :premises (@p1391 @p1401) :args (@t898)) % 1.11/1.39 (step @p1539 :rule cong :premises (@p1538) :args (@t899)) % 1.11/1.39 (step @p1540 :rule cong :premises (@p1536 @p1539) :args (@t900)) % 1.11/1.39 (step @p1541 :rule trans :premises (@p1540 @p1537)) % 1.11/1.39 (step @p1542 :rule eq_resolve :premises (@p192 @p1541)) % 1.11/1.39 (step @p1543 :rule cong :premises (@p1542 @p1512) :args (@t2370)) % 1.11/1.39 (step @p1544 :rule aci_norm :args ((= @t2372 @t1250))) % 1.11/1.39 (step @p1545 :rule cong :premises (@p1544) :args (@t2373)) % 1.11/1.39 (step @p1546 :rule quant-merge-prenex :args ((= (forall @t880 @t2375) @t2373))) % 1.11/1.39 (step @p1547 :rule alpha_equiv :args (@t2376 (@list @t1247) @t2061)) % 1.11/1.39 (step @p1548 :rule refl :args (@t1182)) % 1.11/1.39 (step @p1549 :rule nary_cong :premises (@p1548 @p1368 @p1547) :args (@t2377)) % 1.11/1.39 (step @p1550 :rule quant-miniscope-or :args ((= @t2375 @t2377))) % 1.11/1.39 (step @p1551 :rule trans :premises (@p1550 @p1549)) % 1.11/1.39 (step @p1552 :rule symm :premises (@p1551)) % 1.11/1.39 (step @p1553 :rule cong :premises (@p1552) :args ((forall @t880 (or @t1182 @t1179 @t2346)))) % 1.11/1.39 (step @p1554 :rule trans :premises (@p1553 @p1546)) % 1.11/1.39 (step @p1555 :rule trans :premises (@p1554 @p1545)) % 1.11/1.39 (step @p1556 :rule nary_cong :premises (@p1380 @p1368 @p1420) :args (@t2378)) % 1.11/1.39 (step @p1557 :rule cong :premises (@p1556) :args ((forall @t880 @t2378))) % 1.11/1.39 (step @p1558 :rule trans :premises (@p1557 @p1555)) % 1.11/1.39 (step @p1559 :rule aci_norm :args ((= (or @t2330 @t2346) @t2378))) % 1.11/1.39 (step @p1560 :rule nary_cong :premises (@p1384 @p1420) :args ((or @t2332 @t2346))) % 1.11/1.39 (step @p1561 :rule trans :premises (@p1560 @p1559)) % 1.11/1.39 (step @p1562 :rule bool-impl-elim :args (@t2331 @t2346)) % 1.11/1.39 (step @p1563 :rule trans :premises (@p1562 @p1561)) % 1.11/1.39 (step @p1564 :rule cong :premises (@p1563) :args ((forall @t880 (=> @t2331 @t2346)))) % 1.11/1.39 (step @p1565 :rule trans :premises (@p1564 @p1558)) % 1.11/1.39 (step @p1566 :rule cong :premises (@p1395 @p1493) :args (@t2379)) % 1.11/1.39 (step @p1567 :rule cong :premises (@p1566) :args (@t2380)) % 1.11/1.39 (step @p1568 :rule trans :premises (@p1567 @p1565)) % 1.11/1.39 (step @p1569 :rule refl :args (tptp.app)) % 1.11/1.39 (step @p1570 :rule cong :premises (@p1569 @p1568) :args ((= tptp.app @t2380))) % 1.11/1.39 (step @p1571 :rule cong :premises (@p1401 @p1506) :args (@t892)) % 1.11/1.39 (step @p1572 :rule cong :premises (@p1571) :args (@t893)) % 1.11/1.39 (step @p1573 :rule cong :premises (@p1569 @p1572) :args (@t894)) % 1.11/1.39 (step @p1574 :rule trans :premises (@p1573 @p1570)) % 1.11/1.39 (step @p1575 :rule eq_resolve :premises (@p191 @p1574)) % 1.11/1.39 (step @p1576 :rule cong :premises (@p1575 @p1543) :args (@t2381)) % 1.11/1.39 (step @p1577 :rule cong :premises (@p1395 @p1478) :args (@t2382)) % 1.11/1.39 (step @p1578 :rule cong :premises (@p1577) :args (@t2383)) % 1.11/1.39 (step @p1579 :rule trans :premises (@p1578 @p1565)) % 1.11/1.39 (step @p1580 :rule refl :args (tptp.apProp)) % 1.11/1.39 (step @p1581 :rule cong :premises (@p1580 @p1579) :args ((= tptp.apProp @t2383))) % 1.11/1.39 (step @p1582 :rule refl :args (@t885)) % 1.11/1.39 (step @p1583 :rule cong :premises (@p1401 @p1582) :args (@t886)) % 1.11/1.39 (step @p1584 :rule cong :premises (@p1583) :args (@t887)) % 1.11/1.39 (step @p1585 :rule cong :premises (@p1580 @p1584) :args (@t888)) % 1.11/1.39 (step @p1586 :rule trans :premises (@p1585 @p1581)) % 1.11/1.39 (step @p1587 :rule eq_resolve :premises (@p190 @p1586)) % 1.11/1.39 (step @p1588 :rule cong :premises (@p1587 @p1576) :args (@t2384)) % 1.11/1.39 (step @p1589 :rule eq-symm :args (@t1254 @t1256)) % 1.11/1.39 (step @p1590 :rule cong :premises (@p1589) :args (@t2385)) % 1.11/1.39 (step @p1591 :rule refl :args (@t1257)) % 1.11/1.39 (step @p1592 :rule nary_cong :premises (@p1591 @p1590) :args (@t2386)) % 1.11/1.39 (step @p1593 :rule cong :premises (@p1592) :args (@t2387)) % 1.11/1.39 (step @p1594 :rule cong :premises (@p1593) :args (@t2388)) % 1.11/1.39 (step @p1595 :rule refl :args (@t1259)) % 1.11/1.39 (step @p1596 :rule refl :args (@t1179)) % 1.11/1.39 (step @p1597 :rule refl :args (@t1182)) % 1.11/1.39 (step @p1598 :rule nary_cong :premises (@p1597 @p1596 @p1595 @p1594) :args (@t2389)) % 1.11/1.39 (step @p1599 :rule aci_norm :args ((= @t2391 @t2389))) % 1.11/1.39 (step @p1600 :rule trans :premises (@p1599 @p1598)) % 1.11/1.39 (step @p1601 :rule cong :premises (@p1600) :args (@t2392)) % 1.11/1.39 (step @p1602 :rule quant-merge-prenex :args ((= (forall @t880 @t2394) @t2392))) % 1.11/1.39 (step @p1603 :rule alpha_equiv :args (@t2395 (@list @t1253) @t2061)) % 1.11/1.39 (step @p1604 :rule nary_cong :premises (@p1548 @p1368 @p1603) :args (@t2396)) % 1.11/1.39 (step @p1605 :rule quant-miniscope-or :args ((= @t2394 @t2396))) % 1.11/1.39 (step @p1606 :rule trans :premises (@p1605 @p1604)) % 1.11/1.39 (step @p1607 :rule symm :premises (@p1606)) % 1.11/1.39 (step @p1608 :rule cong :premises (@p1607) :args ((forall @t880 (or @t1182 @t1179 @t2398)))) % 1.11/1.39 (step @p1609 :rule trans :premises (@p1608 @p1602)) % 1.11/1.39 (step @p1610 :rule trans :premises (@p1609 @p1601)) % 1.11/1.39 (step @p1611 :rule refl :args (@t2398)) % 1.11/1.39 (step @p1612 :rule nary_cong :premises (@p1380 @p1368 @p1611) :args (@t2399)) % 1.11/1.39 (step @p1613 :rule cong :premises (@p1612) :args ((forall @t880 @t2399))) % 1.11/1.39 (step @p1614 :rule trans :premises (@p1613 @p1610)) % 1.11/1.39 (step @p1615 :rule aci_norm :args ((= (or @t2330 @t2398) @t2399))) % 1.11/1.39 (step @p1616 :rule nary_cong :premises (@p1384 @p1611) :args ((or @t2332 @t2398))) % 1.11/1.39 (step @p1617 :rule trans :premises (@p1616 @p1615)) % 1.11/1.39 (step @p1618 :rule bool-impl-elim :args (@t2331 @t2398)) % 1.11/1.39 (step @p1619 :rule trans :premises (@p1618 @p1617)) % 1.11/1.39 (step @p1620 :rule cong :premises (@p1619) :args ((forall @t880 (=> @t2331 @t2398)))) % 1.11/1.39 (step @p1621 :rule trans :premises (@p1620 @p1614)) % 1.11/1.39 (step @p1622 :rule refl :args (@t2397)) % 1.11/1.39 (step @p1623 :rule nary_cong :premises (@p702 @p1622) :args (@t2400)) % 1.11/1.39 (step @p1624 :rule cong :premises (@p1623) :args ((forall @t9 @t2400))) % 1.11/1.39 (step @p1625 :rule bool-impl-elim :args (@t7 @t2397)) % 1.11/1.39 (step @p1626 :rule cong :premises (@p1625) :args ((forall @t9 (=> @t7 @t2397)))) % 1.11/1.39 (step @p1627 :rule trans :premises (@p1626 @p1624)) % 1.11/1.39 (step @p1628 :rule refl :args (@t1256)) % 1.11/1.39 (step @p1629 :rule cong :premises (@p1468 @p1628) :args (@t2401)) % 1.11/1.39 (step @p1630 :rule cong :premises (@p1629) :args (@t2402)) % 1.11/1.39 (step @p1631 :rule refl :args (@t1255)) % 1.11/1.39 (step @p1632 :rule cong :premises (@p1631 @p1468) :args (@t2403)) % 1.11/1.39 (step @p1633 :rule cong :premises (@p1632) :args (@t2404)) % 1.11/1.39 (step @p1634 :rule nary_cong :premises (@p1633 @p1630) :args (@t2405)) % 1.11/1.39 (step @p1635 :rule cong :premises (@p1634) :args (@t2406)) % 1.11/1.39 (step @p1636 :rule cong :premises (@p1635) :args (@t2407)) % 1.11/1.39 (step @p1637 :rule beta-reduce :args ((= (_ (lambda @t64 (not (forall @t1258 (or (not (tptp.in @t1255 @t2)) (not (= @t2 @t1256)))))) @t874) @t2407))) % 1.11/1.39 (step @p1638 :rule trans :premises (@p1637 @p1636)) % 1.11/1.39 (step @p1639 :rule alpha_equiv :args (@t2142 @t2061 (@list @t1255))) % 1.11/1.39 (step @p1640 :rule cong :premises (@p1639) :args (@t2143)) % 1.11/1.39 (step @p1641 :rule cong :premises (@p1640) :args (@t2144)) % 1.11/1.39 (step @p1642 :rule ho_cong :premises (@p1641 @p1457)) % 1.11/1.39 (step @p1643 :rule trans :premises (@p1642 @p1638)) % 1.11/1.39 (step @p1644 :rule cong :premises (@p748 @p1643) :args (@t2408)) % 1.11/1.39 (step @p1645 :rule cong :premises (@p1644) :args (@t2409)) % 1.11/1.39 (step @p1646 :rule trans :premises (@p1645 @p1627)) % 1.11/1.39 (step @p1647 :rule cong :premises (@p1395 @p1646) :args (@t2410)) % 1.11/1.39 (step @p1648 :rule cong :premises (@p1647) :args (@t2411)) % 1.11/1.39 (step @p1649 :rule trans :premises (@p1648 @p1621)) % 1.11/1.39 (step @p1650 :rule refl :args (tptp.funcImageSingleton)) % 1.11/1.39 (step @p1651 :rule cong :premises (@p1650 @p1649) :args ((= tptp.funcImageSingleton @t2411))) % 1.11/1.39 (step @p1652 :rule refl :args (@t874)) % 1.11/1.39 (step @p1653 :rule ho_cong :premises (@p870 @p1652)) % 1.11/1.39 (step @p1654 :rule cong :premises (@p748 @p1653) :args (@t875)) % 1.11/1.39 (step @p1655 :rule cong :premises (@p1654) :args (@t876)) % 1.11/1.39 (step @p1656 :rule cong :premises (@p1401 @p1655) :args (@t879)) % 1.11/1.39 (step @p1657 :rule cong :premises (@p1656) :args (@t881)) % 1.11/1.39 (step @p1658 :rule cong :premises (@p1650 @p1657) :args (@t882)) % 1.11/1.39 (step @p1659 :rule trans :premises (@p1658 @p1651)) % 1.11/1.39 (step @p1660 :rule eq_resolve :premises (@p189 @p1659)) % 1.11/1.39 (step @p1661 :rule cong :premises (@p1660 @p1588) :args (@t2412)) % 1.11/1.39 (step @p1662 :rule refl :args (@t1261)) % 1.11/1.39 (step @p1663 :rule lambda-elim :args ((= @t2414 @t67))) % 1.11/1.39 (step @p1664 :rule cong :premises (@p753 @p1020 @p1663) :args (@t2415)) % 1.11/1.39 (step @p1665 :rule cong :premises (@p1186 @p1664) :args (@t2416)) % 1.11/1.39 (step @p1666 :rule cong :premises (@p1665) :args (@t2417)) % 1.11/1.39 (step @p1667 :rule nary_cong :premises (@p1666 @p1662) :args (@t2418)) % 1.11/1.39 (step @p1668 :rule cong :premises (@p1667) :args ((forall @t864 @t2418))) % 1.11/1.39 (step @p1669 :rule refl :args (@t1261)) % 1.11/1.39 (step @p1670 :rule refl :args (@t76)) % 1.11/1.39 (step @p1671 :rule cong :premises (@p1670 @p1669) :args ((= @t76 @t1261))) % 1.11/1.39 (step @p1672 :rule symm :premises (@p1671)) % 1.11/1.39 (step @p1673 :rule eq_resolve :premises (@p1670 @p1672)) % 1.11/1.39 (step @p1674 :rule refl :args ((tptp.in @t630 @t842))) % 1.11/1.39 (step @p1675 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t840))) % 1.11/1.39 (step @p1676 :rule refl :args (@t2413)) % 1.11/1.39 (step @p1677 :rule cong :premises (@p1676) :args (@t2414)) % 1.11/1.39 (step @p1678 :rule cong :premises (@p769 @p1054 @p1677) :args (@t2415)) % 1.11/1.39 (step @p1679 :rule trans :premises (@p1678 @p1675)) % 1.11/1.39 (step @p1680 :rule cong :premises (@p965 @p1679) :args (@t2416)) % 1.11/1.39 (step @p1681 :rule trans :premises (@p1680 @p1674)) % 1.11/1.39 (step @p1682 :rule ho_cong :premises (@p984 @p1679)) % 1.11/1.39 (step @p1683 :rule cong :premises (@p1682 @p1681) :args ((= (_ @t2195 @t2415) @t2416))) % 1.11/1.39 (step @p1684 :rule symm :premises (@p1683)) % 1.11/1.39 (step @p1685 :rule refl :args (@t843)) % 1.11/1.39 (step @p1686 :rule eq_resolve :premises (@p1685 @p1684)) % 1.11/1.39 (step @p1687 :rule ho_cong :premises (@p1069 @p1677)) % 1.11/1.39 (step @p1688 :rule cong :premises (@p1687 @p1679) :args ((= (_ @t841 @t2414) @t2415))) % 1.11/1.39 (step @p1689 :rule symm :premises (@p1688)) % 1.11/1.39 (step @p1690 :rule refl :args (@t842)) % 1.11/1.39 (step @p1691 :rule eq_resolve :premises (@p1690 @p1689)) % 1.11/1.39 (step @p1692 :rule refl :args (@t839)) % 1.11/1.39 (step @p1693 :rule cong :premises (@p1692 @p1676) :args ((= @t839 @t2413))) % 1.11/1.39 (step @p1694 :rule symm :premises (@p1693)) % 1.11/1.39 (step @p1695 :rule eq_resolve :premises (@p1692 @p1694)) % 1.11/1.39 (step @p1696 :rule cong :premises (@p1695) :args (@t840)) % 1.11/1.39 (step @p1697 :rule ho_cong :premises (@p1069 @p1696)) % 1.11/1.39 (step @p1698 :rule trans :premises (@p1697 @p1691)) % 1.11/1.39 (step @p1699 :rule ho_cong :premises (@p990 @p1698)) % 1.11/1.39 (step @p1700 :rule trans :premises (@p1699 @p1686)) % 1.11/1.39 (step @p1701 :rule cong :premises (@p1700) :args (@t2419)) % 1.11/1.39 (step @p1702 :rule nary_cong :premises (@p1701 @p1673) :args (@t2420)) % 1.11/1.39 (step @p1703 :rule cong :premises (@p1702) :args ((forall @t864 @t2420))) % 1.11/1.39 (step @p1704 :rule trans :premises (@p1703 @p1668)) % 1.11/1.39 (step @p1705 :rule bool-impl-elim :args (@t843 @t76)) % 1.11/1.39 (step @p1706 :rule cong :premises (@p1705) :args (@t869)) % 1.11/1.39 (step @p1707 :rule trans :premises (@p1706 @p1704)) % 1.11/1.39 (step @p1708 :rule refl :args (tptp.dpsetconstrER)) % 1.11/1.39 (step @p1709 :rule cong :premises (@p1708 @p1707) :args (@t870)) % 1.11/1.39 (step @p1710 :rule eq_resolve :premises (@p188 @p1709)) % 1.11/1.39 (step @p1711 :rule cong :premises (@p1710 @p1661) :args (@t2421)) % 1.11/1.39 (step @p1712 :rule refl :args (@t1265)) % 1.11/1.39 (step @p1713 :rule nary_cong :premises (@p1666 @p1712) :args (@t2422)) % 1.11/1.39 (step @p1714 :rule cong :premises (@p1713) :args ((forall @t864 @t2422))) % 1.11/1.39 (step @p1715 :rule nary_cong :premises (@p1701 @p998) :args (@t2423)) % 1.11/1.39 (step @p1716 :rule cong :premises (@p1715) :args ((forall @t864 @t2423))) % 1.11/1.39 (step @p1717 :rule trans :premises (@p1716 @p1714)) % 1.11/1.39 (step @p1718 :rule bool-impl-elim :args (@t843 @t352)) % 1.11/1.39 (step @p1719 :rule cong :premises (@p1718) :args (@t867)) % 1.11/1.39 (step @p1720 :rule trans :premises (@p1719 @p1717)) % 1.11/1.39 (step @p1721 :rule refl :args (tptp.dpsetconstrEL2)) % 1.11/1.39 (step @p1722 :rule cong :premises (@p1721 @p1720) :args (@t868)) % 1.11/1.39 (step @p1723 :rule eq_resolve :premises (@p187 @p1722)) % 1.11/1.39 (step @p1724 :rule cong :premises (@p1723 @p1711) :args (@t2424)) % 1.11/1.39 (step @p1725 :rule refl :args (@t1176)) % 1.11/1.39 (step @p1726 :rule nary_cong :premises (@p1666 @p1725) :args (@t2425)) % 1.11/1.39 (step @p1727 :rule cong :premises (@p1726) :args ((forall @t864 @t2425))) % 1.11/1.39 (step @p1728 :rule nary_cong :premises (@p1701 @p701) :args (@t2426)) % 1.11/1.39 (step @p1729 :rule cong :premises (@p1728) :args ((forall @t864 @t2426))) % 1.11/1.39 (step @p1730 :rule trans :premises (@p1729 @p1727)) % 1.11/1.39 (step @p1731 :rule bool-impl-elim :args (@t843 @t7)) % 1.11/1.39 (step @p1732 :rule cong :premises (@p1731) :args (@t865)) % 1.11/1.39 (step @p1733 :rule trans :premises (@p1732 @p1730)) % 1.11/1.39 (step @p1734 :rule refl :args (tptp.dpsetconstrEL1)) % 1.11/1.39 (step @p1735 :rule cong :premises (@p1734 @p1733) :args (@t866)) % 1.11/1.39 (step @p1736 :rule eq_resolve :premises (@p186 @p1735)) % 1.11/1.39 (step @p1737 :rule cong :premises (@p1736 @p1724) :args (@t2427)) % 1.11/1.39 (step @p1738 :rule aci_norm :args ((= @t2429 @t1270))) % 1.11/1.39 (step @p1739 :rule cong :premises (@p1738) :args (@t2430)) % 1.11/1.39 (step @p1740 :rule quant-merge-prenex :args ((= (forall @t847 @t2432) @t2430))) % 1.11/1.39 (step @p1741 :rule alpha_equiv :args (@t2433 (@list @t1266) @t2070)) % 1.11/1.39 (step @p1742 :rule nary_cong :premises (@p682 @p1741) :args (@t2434)) % 1.11/1.39 (step @p1743 :rule quant-miniscope-or :args ((= @t2432 @t2434))) % 1.11/1.39 (step @p1744 :rule trans :premises (@p1743 @p1742)) % 1.11/1.39 (step @p1745 :rule symm :premises (@p1744)) % 1.11/1.39 (step @p1746 :rule cong :premises (@p1745) :args ((forall @t847 (or @t1177 @t2435)))) % 1.11/1.39 (step @p1747 :rule trans :premises (@p1746 @p1740)) % 1.11/1.39 (step @p1748 :rule trans :premises (@p1747 @p1739)) % 1.11/1.39 (step @p1749 :rule refl :args (@t2435)) % 1.11/1.39 (step @p1750 :rule nary_cong :premises (@p702 @p1749) :args (@t2436)) % 1.11/1.39 (step @p1751 :rule cong :premises (@p1750) :args ((forall @t847 @t2436))) % 1.11/1.39 (step @p1752 :rule trans :premises (@p1751 @p1748)) % 1.11/1.39 (step @p1753 :rule bool-impl-elim :args (@t7 @t2435)) % 1.11/1.39 (step @p1754 :rule cong :premises (@p1753) :args ((forall @t847 (=> @t7 @t2435)))) % 1.11/1.39 (step @p1755 :rule trans :premises (@p1754 @p1752)) % 1.11/1.39 (step @p1756 :rule refl :args (@t2192)) % 1.11/1.39 (step @p1757 :rule nary_cong :premises (@p1756 @p1666 @p1662) :args (@t2437)) % 1.11/1.39 (step @p1758 :rule cong :premises (@p1757) :args ((forall @t70 @t2437))) % 1.11/1.39 (step @p1759 :rule nary_cong :premises (@p999 @p1701 @p1673) :args (@t2438)) % 1.11/1.39 (step @p1760 :rule cong :premises (@p1759) :args ((forall @t70 @t2438))) % 1.11/1.39 (step @p1761 :rule trans :premises (@p1760 @p1758)) % 1.11/1.39 (step @p1762 :rule aci_norm :args ((= (or @t2197 @t2420) @t2438))) % 1.11/1.39 (step @p1763 :rule nary_cong :premises (@p1004 @p1705) :args ((or @t2197 @t859))) % 1.11/1.39 (step @p1764 :rule trans :premises (@p1763 @p1762)) % 1.11/1.39 (step @p1765 :rule bool-impl-elim :args (@t352 @t859)) % 1.11/1.39 (step @p1766 :rule trans :premises (@p1765 @p1764)) % 1.11/1.39 (step @p1767 :rule cong :premises (@p1766) :args (@t860)) % 1.11/1.39 (step @p1768 :rule trans :premises (@p1767 @p1761)) % 1.11/1.39 (step @p1769 :rule cong :premises (@p748 @p1768) :args (@t861)) % 1.11/1.39 (step @p1770 :rule cong :premises (@p1769) :args (@t862)) % 1.11/1.39 (step @p1771 :rule trans :premises (@p1770 @p1755)) % 1.11/1.39 (step @p1772 :rule refl :args (tptp.dpsetconstrERa)) % 1.11/1.39 (step @p1773 :rule cong :premises (@p1772 @p1771) :args (@t863)) % 1.11/1.39 (step @p1774 :rule eq_resolve :premises (@p185 @p1773)) % 1.11/1.39 (step @p1775 :rule cong :premises (@p1774 @p1737) :args (@t2439)) % 1.11/1.39 (step @p1776 :rule refl :args (@t1180)) % 1.11/1.39 (step @p1777 :rule lambda-elim :args ((= @t2440 @t67))) % 1.11/1.39 (step @p1778 :rule cong :premises (@p753 @p1020 @p1777) :args (@t2441)) % 1.11/1.39 (step @p1779 :rule cong :premises (@p1778 @p1776) :args (@t2442)) % 1.11/1.39 (step @p1780 :rule cong :premises (@p1779) :args ((forall @t853 @t2442))) % 1.11/1.39 (step @p1781 :rule refl :args ((tptp.subset @t851 @t672))) % 1.11/1.39 (step @p1782 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t850))) % 1.11/1.39 (step @p1783 :rule cong :premises (@p1669) :args (@t2440)) % 1.11/1.39 (step @p1784 :rule cong :premises (@p769 @p1054 @p1783) :args (@t2441)) % 1.11/1.39 (step @p1785 :rule trans :premises (@p1784 @p1782)) % 1.11/1.39 (step @p1786 :rule cong :premises (@p1785 @p897) :args (@t2442)) % 1.11/1.39 (step @p1787 :rule trans :premises (@p1786 @p1781)) % 1.11/1.39 (step @p1788 :rule ho_cong :premises (@p1166 @p1785)) % 1.11/1.39 (step @p1789 :rule ho_cong :premises (@p1788 @p897)) % 1.11/1.39 (step @p1790 :rule cong :premises (@p1789 @p1787) :args ((= (_ (_ tptp.subset @t2441) @t1180) @t2442))) % 1.11/1.39 (step @p1791 :rule symm :premises (@p1790)) % 1.11/1.39 (step @p1792 :rule refl :args (@t852)) % 1.11/1.39 (step @p1793 :rule eq_resolve :premises (@p1792 @p1791)) % 1.11/1.39 (step @p1794 :rule ho_cong :premises (@p1069 @p1783)) % 1.11/1.39 (step @p1795 :rule cong :premises (@p1794 @p1785) :args ((= (_ @t841 @t2440) @t2441))) % 1.11/1.39 (step @p1796 :rule symm :premises (@p1795)) % 1.11/1.39 (step @p1797 :rule refl :args (@t851)) % 1.11/1.39 (step @p1798 :rule eq_resolve :premises (@p1797 @p1796)) % 1.11/1.39 (step @p1799 :rule cong :premises (@p1673) :args (@t850)) % 1.11/1.39 (step @p1800 :rule ho_cong :premises (@p1069 @p1799)) % 1.11/1.39 (step @p1801 :rule trans :premises (@p1800 @p1798)) % 1.11/1.39 (step @p1802 :rule ho_cong :premises (@p1166 @p1801)) % 1.11/1.39 (step @p1803 :rule ho_cong :premises (@p1802 @p910)) % 1.11/1.39 (step @p1804 :rule trans :premises (@p1803 @p1793)) % 1.11/1.39 (step @p1805 :rule cong :premises (@p1804) :args (@t854)) % 1.11/1.39 (step @p1806 :rule trans :premises (@p1805 @p1780)) % 1.11/1.39 (step @p1807 :rule beta-reduce :args ((= (_ @t2199 @t851) @t852))) % 1.11/1.39 (step @p1808 :rule refl :args (@t851)) % 1.11/1.39 (step @p1809 :rule ho_cong :premises (@p1023 @p1808)) % 1.11/1.39 (step @p1810 :rule trans :premises (@p1809 @p1807)) % 1.11/1.39 (step @p1811 :rule cong :premises (@p1810) :args (@t2443)) % 1.11/1.39 (step @p1812 :rule trans :premises (@p1811 @p1806)) % 1.11/1.39 (step @p1813 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.11/1.39 (step @p1814 :rule cong :premises (@p1813 @p1812) :args ((= tptp.setOfPairsIsBReln @t2443))) % 1.11/1.39 (step @p1815 :rule ho_cong :premises (@p1033 @p1808)) % 1.11/1.39 (step @p1816 :rule cong :premises (@p1815) :args (@t857)) % 1.11/1.39 (step @p1817 :rule cong :premises (@p1813 @p1816) :args (@t858)) % 1.11/1.39 (step @p1818 :rule trans :premises (@p1817 @p1814)) % 1.11/1.39 (step @p1819 :rule eq_resolve :premises (@p184 @p1818)) % 1.11/1.39 (step @p1820 :rule cong :premises (@p1819 @p1775) :args (@t2444)) % 1.11/1.39 (step @p1821 :rule refl :args (tptp.dpsetconstrSub)) % 1.11/1.39 (step @p1822 :rule cong :premises (@p1821 @p1806) :args (@t855)) % 1.11/1.39 (step @p1823 :rule eq_resolve :premises (@p183 @p1822)) % 1.11/1.39 (step @p1824 :rule cong :premises (@p1823 @p1820) :args (@t2445)) % 1.11/1.39 (step @p1825 :rule aci_norm :args ((= @t2447 @t1277))) % 1.11/1.39 (step @p1826 :rule cong :premises (@p1825) :args (@t2448)) % 1.11/1.39 (step @p1827 :rule quant-merge-prenex :args ((= (forall @t847 @t2450) @t2448))) % 1.11/1.39 (step @p1828 :rule alpha_equiv :args (@t2451 (@list @t1273) @t2070)) % 1.11/1.39 (step @p1829 :rule nary_cong :premises (@p682 @p1828) :args (@t2452)) % 1.11/1.39 (step @p1830 :rule quant-miniscope-or :args ((= @t2450 @t2452))) % 1.11/1.39 (step @p1831 :rule trans :premises (@p1830 @p1829)) % 1.11/1.39 (step @p1832 :rule symm :premises (@p1831)) % 1.11/1.39 (step @p1833 :rule cong :premises (@p1832) :args ((forall @t847 (or @t1177 @t2453)))) % 1.11/1.39 (step @p1834 :rule trans :premises (@p1833 @p1827)) % 1.11/1.39 (step @p1835 :rule trans :premises (@p1834 @p1826)) % 1.11/1.39 (step @p1836 :rule refl :args (@t2453)) % 1.11/1.39 (step @p1837 :rule nary_cong :premises (@p702 @p1836) :args (@t2454)) % 1.11/1.39 (step @p1838 :rule cong :premises (@p1837) :args ((forall @t847 @t2454))) % 1.11/1.39 (step @p1839 :rule trans :premises (@p1838 @p1835)) % 1.11/1.39 (step @p1840 :rule bool-impl-elim :args (@t7 @t2453)) % 1.11/1.39 (step @p1841 :rule cong :premises (@p1840) :args ((forall @t847 (=> @t7 @t2453)))) % 1.11/1.39 (step @p1842 :rule trans :premises (@p1841 @p1839)) % 1.11/1.39 (step @p1843 :rule refl :args (@t1842)) % 1.11/1.39 (step @p1844 :rule nary_cong :premises (@p1756 @p1843 @p1665) :args (@t2455)) % 1.11/1.39 (step @p1845 :rule cong :premises (@p1844) :args ((forall @t70 @t2455))) % 1.11/1.39 (step @p1846 :rule cong :premises (@p1673) :args (@t2456)) % 1.11/1.39 (step @p1847 :rule nary_cong :premises (@p999 @p1846 @p1700) :args (@t2457)) % 1.11/1.39 (step @p1848 :rule cong :premises (@p1847) :args ((forall @t70 @t2457))) % 1.11/1.39 (step @p1849 :rule trans :premises (@p1848 @p1845)) % 1.11/1.39 (step @p1850 :rule aci_norm :args ((= (or @t2197 (or @t2456 @t843)) @t2457))) % 1.11/1.39 (step @p1851 :rule bool-impl-elim :args (@t76 @t843)) % 1.11/1.39 (step @p1852 :rule nary_cong :premises (@p1004 @p1851) :args ((or @t2197 @t844))) % 1.11/1.39 (step @p1853 :rule trans :premises (@p1852 @p1850)) % 1.11/1.39 (step @p1854 :rule bool-impl-elim :args (@t352 @t844)) % 1.11/1.39 (step @p1855 :rule trans :premises (@p1854 @p1853)) % 1.11/1.39 (step @p1856 :rule cong :premises (@p1855) :args (@t845)) % 1.11/1.39 (step @p1857 :rule trans :premises (@p1856 @p1849)) % 1.11/1.39 (step @p1858 :rule cong :premises (@p748 @p1857) :args (@t846)) % 1.11/1.39 (step @p1859 :rule cong :premises (@p1858) :args (@t848)) % 1.11/1.39 (step @p1860 :rule trans :premises (@p1859 @p1842)) % 1.11/1.39 (step @p1861 :rule refl :args (tptp.dpsetconstrI)) % 1.11/1.39 (step @p1862 :rule cong :premises (@p1861 @p1860) :args (@t849)) % 1.11/1.39 (step @p1863 :rule eq_resolve :premises (@p182 @p1862)) % 1.11/1.39 (step @p1864 :rule cong :premises (@p1863 @p1824) :args (@t2458)) % 1.11/1.39 (step @p1865 :rule refl :args ((tptp.kpair @t763 @t807))) % 1.11/1.39 (step @p1866 :rule refl :args (@t1279)) % 1.11/1.39 (step @p1867 :rule refl :args (@t1280)) % 1.11/1.39 (step @p1868 :rule cong :premises (@p1867 @p1866) :args (@t1281)) % 1.11/1.39 (step @p1869 :rule trans :premises (@p1868 @p1865)) % 1.11/1.39 (step @p1870 :rule refl :args (tptp.kpair)) % 1.11/1.39 (step @p1871 :rule ho_cong :premises (@p1870 @p1867)) % 1.11/1.39 (step @p1872 :rule ho_cong :premises (@p1871 @p1866)) % 1.11/1.39 (step @p1873 :rule cong :premises (@p1872 @p1869) :args ((= (_ @t2459 @t1279) @t1281))) % 1.11/1.39 (step @p1874 :rule symm :premises (@p1873)) % 1.11/1.39 (step @p1875 :rule refl :args (@t808)) % 1.11/1.39 (step @p1876 :rule eq_resolve :premises (@p1875 @p1874)) % 1.11/1.39 (step @p1877 :rule refl :args (@t807)) % 1.11/1.39 (step @p1878 :rule cong :premises (@p1877 @p1866) :args ((= @t807 @t1279))) % 1.11/1.39 (step @p1879 :rule symm :premises (@p1878)) % 1.11/1.39 (step @p1880 :rule eq_resolve :premises (@p1877 @p1879)) % 1.11/1.39 (step @p1881 :rule refl :args (@t763)) % 1.11/1.39 (step @p1882 :rule cong :premises (@p1881 @p1867) :args ((= @t763 @t1280))) % 1.11/1.39 (step @p1883 :rule symm :premises (@p1882)) % 1.11/1.39 (step @p1884 :rule eq_resolve :premises (@p1881 @p1883)) % 1.11/1.39 (step @p1885 :rule ho_cong :premises (@p1870 @p1884)) % 1.11/1.39 (step @p1886 :rule ho_cong :premises (@p1885 @p1880)) % 1.11/1.39 (step @p1887 :rule trans :premises (@p1886 @p1876)) % 1.11/1.39 (step @p1888 :rule refl :args (@t381)) % 1.11/1.39 (step @p1889 :rule cong :premises (@p1888 @p1887) :args (@t2460)) % 1.11/1.39 (step @p1890 :rule refl :args ((tptp.in @t381 @t672))) % 1.11/1.39 (step @p1891 :rule cong :premises (@p1888 @p897) :args (@t1283)) % 1.11/1.39 (step @p1892 :rule trans :premises (@p1891 @p1890)) % 1.11/1.39 (step @p1893 :rule refl :args (@t683)) % 1.11/1.39 (step @p1894 :rule ho_cong :premises (@p1893 @p897)) % 1.11/1.39 (step @p1895 :rule cong :premises (@p1894 @p1892) :args ((= (_ @t683 @t1180) @t1283))) % 1.11/1.39 (step @p1896 :rule symm :premises (@p1895)) % 1.11/1.39 (step @p1897 :rule refl :args (@t684)) % 1.11/1.39 (step @p1898 :rule eq_resolve :premises (@p1897 @p1896)) % 1.11/1.39 (step @p1899 :rule ho_cong :premises (@p1893 @p910)) % 1.11/1.39 (step @p1900 :rule trans :premises (@p1899 @p1898)) % 1.11/1.39 (step @p1901 :rule cong :premises (@p1900) :args (@t2461)) % 1.11/1.39 (step @p1902 :rule nary_cong :premises (@p1901 @p1889) :args (@t2462)) % 1.11/1.39 (step @p1903 :rule cong :premises (@p1902) :args ((forall @t686 @t2462))) % 1.11/1.39 (step @p1904 :rule bool-impl-elim :args (@t684 @t2460)) % 1.11/1.39 (step @p1905 :rule cong :premises (@p1904) :args ((forall @t686 (=> @t684 @t2460)))) % 1.11/1.39 (step @p1906 :rule trans :premises (@p1905 @p1903)) % 1.11/1.39 (step @p1907 :rule eq-symm :args (@t808 @t381)) % 1.11/1.39 (step @p1908 :rule refl :args (@t684)) % 1.11/1.39 (step @p1909 :rule cong :premises (@p1908 @p1907) :args (@t836)) % 1.11/1.39 (step @p1910 :rule cong :premises (@p1909) :args (@t837)) % 1.11/1.39 (step @p1911 :rule trans :premises (@p1910 @p1906)) % 1.11/1.39 (step @p1912 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.11/1.39 (step @p1913 :rule cong :premises (@p1912 @p1911) :args (@t838)) % 1.11/1.39 (step @p1914 :rule eq_resolve :premises (@p181 @p1913)) % 1.11/1.39 (step @p1915 :rule cong :premises (@p1914 @p1864) :args (@t2463)) % 1.11/1.39 (step @p1916 :rule aci_norm :args ((= @t2465 @t1288))) % 1.11/1.39 (step @p1917 :rule cong :premises (@p1916) :args (@t2466)) % 1.11/1.39 (step @p1918 :rule quant-merge-prenex :args ((= (forall @t245 @t2468) @t2466))) % 1.11/1.39 (step @p1919 :rule alpha_equiv :args (@t2469 (@list @t1285) @t2070)) % 1.11/1.39 (step @p1920 :rule nary_cong :premises (@p682 @p1919) :args (@t2470)) % 1.11/1.39 (step @p1921 :rule quant-miniscope-or :args ((= @t2468 @t2470))) % 1.11/1.39 (step @p1922 :rule trans :premises (@p1921 @p1920)) % 1.11/1.39 (step @p1923 :rule symm :premises (@p1922)) % 1.11/1.39 (step @p1924 :rule cong :premises (@p1923) :args ((forall @t245 (or @t1177 @t2471)))) % 1.11/1.39 (step @p1925 :rule trans :premises (@p1924 @p1918)) % 1.11/1.39 (step @p1926 :rule trans :premises (@p1925 @p1917)) % 1.11/1.39 (step @p1927 :rule refl :args (@t2471)) % 1.11/1.39 (step @p1928 :rule nary_cong :premises (@p702 @p1927) :args (@t2472)) % 1.11/1.39 (step @p1929 :rule cong :premises (@p1928) :args ((forall @t245 @t2472))) % 1.11/1.39 (step @p1930 :rule trans :premises (@p1929 @p1926)) % 1.11/1.39 (step @p1931 :rule bool-impl-elim :args (@t7 @t2471)) % 1.11/1.39 (step @p1932 :rule cong :premises (@p1931) :args ((forall @t245 (=> @t7 @t2471)))) % 1.11/1.39 (step @p1933 :rule trans :premises (@p1932 @p1930)) % 1.11/1.39 (step @p1934 :rule refl :args ((tptp.ksnd @t630))) % 1.11/1.39 (step @p1935 :rule cong :premises (@p965) :args (@t1305)) % 1.11/1.39 (step @p1936 :rule trans :premises (@p1935 @p1934)) % 1.11/1.39 (step @p1937 :rule refl :args (tptp.ksnd)) % 1.11/1.39 (step @p1938 :rule ho_cong :premises (@p1937 @p965)) % 1.11/1.39 (step @p1939 :rule cong :premises (@p1938 @p1936) :args ((= (_ tptp.ksnd @t1169) @t1305))) % 1.11/1.39 (step @p1940 :rule symm :premises (@p1939)) % 1.11/1.39 (step @p1941 :rule refl :args (@t803)) % 1.11/1.39 (step @p1942 :rule eq_resolve :premises (@p1941 @p1940)) % 1.11/1.39 (step @p1943 :rule ho_cong :premises (@p1937 @p977)) % 1.11/1.39 (step @p1944 :rule trans :premises (@p1943 @p1942)) % 1.11/1.39 (step @p1945 :rule cong :premises (@p1051 @p1944) :args (@t2473)) % 1.11/1.39 (step @p1946 :rule nary_cong :premises (@p999 @p1945) :args (@t2474)) % 1.11/1.39 (step @p1947 :rule cong :premises (@p1946) :args ((forall @t70 @t2474))) % 1.11/1.39 (step @p1948 :rule bool-impl-elim :args (@t352 @t2473)) % 1.11/1.39 (step @p1949 :rule cong :premises (@p1948) :args ((forall @t70 (=> @t352 @t2473)))) % 1.11/1.39 (step @p1950 :rule trans :premises (@p1949 @p1947)) % 1.11/1.39 (step @p1951 :rule eq-symm :args (@t803 @t19)) % 1.11/1.39 (step @p1952 :rule refl :args (@t352)) % 1.11/1.39 (step @p1953 :rule cong :premises (@p1952 @p1951) :args (@t831)) % 1.11/1.39 (step @p1954 :rule cong :premises (@p1953) :args (@t832)) % 1.11/1.39 (step @p1955 :rule trans :premises (@p1954 @p1950)) % 1.11/1.39 (step @p1956 :rule cong :premises (@p748 @p1955) :args (@t833)) % 1.11/1.39 (step @p1957 :rule cong :premises (@p1956) :args (@t834)) % 1.11/1.39 (step @p1958 :rule trans :premises (@p1957 @p1933)) % 1.11/1.39 (step @p1959 :rule refl :args (tptp.cartprodsndpairEq)) % 1.11/1.39 (step @p1960 :rule cong :premises (@p1959 @p1958) :args (@t835)) % 1.11/1.39 (step @p1961 :rule eq_resolve :premises (@p180 @p1960)) % 1.11/1.39 (step @p1962 :rule cong :premises (@p1961 @p1915) :args (@t2475)) % 1.11/1.39 (step @p1963 :rule aci_norm :args ((= @t2477 @t1293))) % 1.11/1.39 (step @p1964 :rule cong :premises (@p1963) :args (@t2478)) % 1.11/1.39 (step @p1965 :rule quant-merge-prenex :args ((= (forall @t245 @t2480) @t2478))) % 1.11/1.39 (step @p1966 :rule alpha_equiv :args (@t2481 (@list @t1290) @t2070)) % 1.11/1.39 (step @p1967 :rule nary_cong :premises (@p682 @p1966) :args (@t2482)) % 1.11/1.39 (step @p1968 :rule quant-miniscope-or :args ((= @t2480 @t2482))) % 1.11/1.39 (step @p1969 :rule trans :premises (@p1968 @p1967)) % 1.11/1.39 (step @p1970 :rule symm :premises (@p1969)) % 1.11/1.39 (step @p1971 :rule cong :premises (@p1970) :args ((forall @t245 (or @t1177 @t2483)))) % 1.11/1.39 (step @p1972 :rule trans :premises (@p1971 @p1965)) % 1.11/1.39 (step @p1973 :rule trans :premises (@p1972 @p1964)) % 1.11/1.39 (step @p1974 :rule refl :args (@t2483)) % 1.11/1.39 (step @p1975 :rule nary_cong :premises (@p702 @p1974) :args (@t2484)) % 1.11/1.39 (step @p1976 :rule cong :premises (@p1975) :args ((forall @t245 @t2484))) % 1.11/1.39 (step @p1977 :rule trans :premises (@p1976 @p1973)) % 1.11/1.39 (step @p1978 :rule bool-impl-elim :args (@t7 @t2483)) % 1.11/1.39 (step @p1979 :rule cong :premises (@p1978) :args ((forall @t245 (=> @t7 @t2483)))) % 1.11/1.39 (step @p1980 :rule trans :premises (@p1979 @p1977)) % 1.11/1.39 (step @p1981 :rule refl :args ((tptp.kfst @t630))) % 1.11/1.39 (step @p1982 :rule cong :premises (@p965) :args (@t1346)) % 1.11/1.39 (step @p1983 :rule trans :premises (@p1982 @p1981)) % 1.11/1.39 (step @p1984 :rule refl :args (tptp.kfst)) % 1.11/1.39 (step @p1985 :rule ho_cong :premises (@p1984 @p965)) % 1.11/1.39 (step @p1986 :rule cong :premises (@p1985 @p1983) :args ((= (_ tptp.kfst @t1169) @t1346))) % 1.11/1.39 (step @p1987 :rule symm :premises (@p1986)) % 1.11/1.39 (step @p1988 :rule refl :args (@t759)) % 1.11/1.39 (step @p1989 :rule eq_resolve :premises (@p1988 @p1987)) % 1.11/1.39 (step @p1990 :rule ho_cong :premises (@p1984 @p977)) % 1.11/1.39 (step @p1991 :rule trans :premises (@p1990 @p1989)) % 1.11/1.39 (step @p1992 :rule cong :premises (@p774 @p1991) :args (@t2485)) % 1.11/1.39 (step @p1993 :rule nary_cong :premises (@p999 @p1992) :args (@t2486)) % 1.11/1.39 (step @p1994 :rule cong :premises (@p1993) :args ((forall @t70 @t2486))) % 1.11/1.39 (step @p1995 :rule bool-impl-elim :args (@t352 @t2485)) % 1.11/1.39 (step @p1996 :rule cong :premises (@p1995) :args ((forall @t70 (=> @t352 @t2485)))) % 1.11/1.39 (step @p1997 :rule trans :premises (@p1996 @p1994)) % 1.11/1.39 (step @p1998 :rule eq-symm :args (@t759 @t4)) % 1.11/1.39 (step @p1999 :rule cong :premises (@p1952 @p1998) :args (@t826)) % 1.11/1.39 (step @p2000 :rule cong :premises (@p1999) :args (@t827)) % 1.11/1.39 (step @p2001 :rule trans :premises (@p2000 @p1997)) % 1.11/1.39 (step @p2002 :rule cong :premises (@p748 @p2001) :args (@t828)) % 1.11/1.39 (step @p2003 :rule cong :premises (@p2002) :args (@t829)) % 1.11/1.39 (step @p2004 :rule trans :premises (@p2003 @p1980)) % 1.11/1.39 (step @p2005 :rule refl :args (tptp.cartprodfstpairEq)) % 1.11/1.39 (step @p2006 :rule cong :premises (@p2005 @p2004) :args (@t830)) % 1.11/1.39 (step @p2007 :rule eq_resolve :premises (@p179 @p2006)) % 1.11/1.39 (step @p2008 :rule cong :premises (@p2007 @p1962) :args (@t2487)) % 1.11/1.39 (step @p2009 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.11/1.39 (step @p2010 :rule symm :premises (@p2009)) % 1.11/1.39 (step @p2011 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.11/1.39 (step @p2012 :rule bool-impl-true1 :args (@t7)) % 1.11/1.39 (step @p2013 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.11/1.39 (step @p2014 :rule bool-impl-true1 :args (@t352)) % 1.11/1.39 (step @p2015 :rule eq-refl :args (@t630)) % 1.11/1.39 (step @p2016 :rule cong :premises (@p1952 @p2015) :args (@t821)) % 1.11/1.39 (step @p2017 :rule trans :premises (@p2016 @p2014)) % 1.11/1.39 (step @p2018 :rule cong :premises (@p2017) :args (@t822)) % 1.11/1.39 (step @p2019 :rule trans :premises (@p2018 @p2013)) % 1.11/1.39 (step @p2020 :rule cong :premises (@p748 @p2019) :args (@t823)) % 1.11/1.39 (step @p2021 :rule trans :premises (@p2020 @p2012)) % 1.11/1.39 (step @p2022 :rule cong :premises (@p2021) :args (@t824)) % 1.11/1.39 (step @p2023 :rule trans :premises (@p2022 @p2011)) % 1.11/1.39 (step @p2024 :rule refl :args (tptp.cartprodmempaircEq)) % 1.11/1.39 (step @p2025 :rule cong :premises (@p2024 @p2023) :args (@t825)) % 1.11/1.39 (step @p2026 :rule trans :premises (@p2025 @p2009)) % 1.11/1.39 (step @p2027 :rule eq_resolve :premises (@p178 @p2026)) % 1.11/1.39 (step @p2028 :rule eq_resolve :premises (@p2027 @p2010)) % 1.11/1.39 (step @p2029 :rule cong :premises (@p2028 @p2008) :args (@t2488)) % 1.11/1.39 (step @p2030 :rule refl :args ((tptp.in @t630 @t672))) % 1.11/1.39 (step @p2031 :rule cong :premises (@p965 @p897) :args (@t1296)) % 1.11/1.39 (step @p2032 :rule trans :premises (@p2031 @p2030)) % 1.11/1.39 (step @p2033 :rule ho_cong :premises (@p984 @p897)) % 1.11/1.39 (step @p2034 :rule cong :premises (@p2033 @p2032) :args ((= (_ @t2195 @t1180) @t1296))) % 1.11/1.39 (step @p2035 :rule symm :premises (@p2034)) % 1.11/1.39 (step @p2036 :rule refl :args (@t673)) % 1.11/1.39 (step @p2037 :rule eq_resolve :premises (@p2036 @p2035)) % 1.11/1.39 (step @p2038 :rule ho_cong :premises (@p990 @p910)) % 1.11/1.39 (step @p2039 :rule trans :premises (@p2038 @p2037)) % 1.11/1.39 (step @p2040 :rule cong :premises (@p2039) :args (@t2489)) % 1.11/1.39 (step @p2041 :rule nary_cong :premises (@p2040 @p998) :args (@t2490)) % 1.11/1.39 (step @p2042 :rule cong :premises (@p2041) :args ((forall @t816 @t2490))) % 1.11/1.39 (step @p2043 :rule bool-impl-elim :args (@t673 @t352)) % 1.11/1.39 (step @p2044 :rule cong :premises (@p2043) :args (@t819)) % 1.11/1.39 (step @p2045 :rule trans :premises (@p2044 @p2042)) % 1.11/1.39 (step @p2046 :rule refl :args (tptp.cartprodpairmemER)) % 1.11/1.39 (step @p2047 :rule cong :premises (@p2046 @p2045) :args (@t820)) % 1.11/1.39 (step @p2048 :rule eq_resolve :premises (@p177 @p2047)) % 1.11/1.39 (step @p2049 :rule cong :premises (@p2048 @p2029) :args (@t2491)) % 1.11/1.39 (step @p2050 :rule nary_cong :premises (@p2040 @p701) :args (@t2492)) % 1.11/1.39 (step @p2051 :rule cong :premises (@p2050) :args ((forall @t816 @t2492))) % 1.11/1.39 (step @p2052 :rule bool-impl-elim :args (@t673 @t7)) % 1.11/1.39 (step @p2053 :rule cong :premises (@p2052) :args (@t817)) % 1.11/1.39 (step @p2054 :rule trans :premises (@p2053 @p2051)) % 1.11/1.39 (step @p2055 :rule refl :args (tptp.cartprodpairmemEL)) % 1.11/1.39 (step @p2056 :rule cong :premises (@p2055 @p2054) :args (@t818)) % 1.11/1.39 (step @p2057 :rule eq_resolve :premises (@p176 @p2056)) % 1.11/1.39 (step @p2058 :rule cong :premises (@p2057 @p2049) :args (@t2493)) % 1.11/1.39 (step @p2059 :rule refl :args ((tptp.in @t807 @t1))) % 1.11/1.39 (step @p2060 :rule cong :premises (@p1866 @p1054) :args (@t1300)) % 1.11/1.39 (step @p2061 :rule trans :premises (@p2060 @p2059)) % 1.11/1.39 (step @p2062 :rule ho_cong :premises (@p983 @p1866)) % 1.11/1.39 (step @p2063 :rule ho_cong :premises (@p2062 @p1054)) % 1.11/1.39 (step @p2064 :rule cong :premises (@p2063 @p2061) :args ((= (_ (_ tptp.in @t1279) @t1) @t1300))) % 1.11/1.39 (step @p2065 :rule symm :premises (@p2064)) % 1.11/1.39 (step @p2066 :rule refl :args (@t813)) % 1.11/1.39 (step @p2067 :rule eq_resolve :premises (@p2066 @p2065)) % 1.11/1.39 (step @p2068 :rule ho_cong :premises (@p983 @p1880)) % 1.11/1.39 (step @p2069 :rule ho_cong :premises (@p2068 @p1054)) % 1.11/1.39 (step @p2070 :rule trans :premises (@p2069 @p2067)) % 1.11/1.39 (step @p2071 :rule nary_cong :premises (@p1901 @p2070) :args (@t2494)) % 1.11/1.39 (step @p2072 :rule cong :premises (@p2071) :args ((forall @t686 @t2494))) % 1.11/1.39 (step @p2073 :rule bool-impl-elim :args (@t684 @t813)) % 1.11/1.39 (step @p2074 :rule cong :premises (@p2073) :args (@t814)) % 1.11/1.39 (step @p2075 :rule trans :premises (@p2074 @p2072)) % 1.11/1.39 (step @p2076 :rule refl :args (tptp.cartprodsndin)) % 1.11/1.39 (step @p2077 :rule cong :premises (@p2076 @p2075) :args (@t815)) % 1.11/1.39 (step @p2078 :rule eq_resolve :premises (@p175 @p2077)) % 1.11/1.39 (step @p2079 :rule cong :premises (@p2078 @p2058) :args (@t2495)) % 1.11/1.39 (step @p2080 :rule refl :args (@t1302)) % 1.11/1.39 (step @p2081 :rule refl :args (@t689)) % 1.11/1.39 (step @p2082 :rule cong :premises (@p2081 @p2080) :args ((= @t689 @t1302))) % 1.11/1.39 (step @p2083 :rule symm :premises (@p2082)) % 1.11/1.39 (step @p2084 :rule eq_resolve :premises (@p2081 @p2083)) % 1.11/1.39 (step @p2085 :rule cong :premises (@p2084) :args (@t2496)) % 1.11/1.39 (step @p2086 :rule nary_cong :premises (@p2085 @p1889) :args (@t2497)) % 1.11/1.39 (step @p2087 :rule cong :premises (@p2086) :args ((forall @t751 @t2497))) % 1.11/1.39 (step @p2088 :rule bool-impl-elim :args (@t689 @t2460)) % 1.11/1.39 (step @p2089 :rule cong :premises (@p2088) :args ((forall @t751 (=> @t689 @t2460)))) % 1.11/1.39 (step @p2090 :rule trans :premises (@p2089 @p2087)) % 1.11/1.39 (step @p2091 :rule refl :args (@t689)) % 1.11/1.39 (step @p2092 :rule cong :premises (@p2091 @p1907) :args (@t810)) % 1.11/1.39 (step @p2093 :rule cong :premises (@p2092) :args (@t811)) % 1.11/1.39 (step @p2094 :rule trans :premises (@p2093 @p2090)) % 1.11/1.39 (step @p2095 :rule refl :args (tptp.kpairsurjEq)) % 1.11/1.39 (step @p2096 :rule cong :premises (@p2095 @p2094) :args (@t812)) % 1.11/1.39 (step @p2097 :rule eq_resolve :premises (@p174 @p2096)) % 1.11/1.39 (step @p2098 :rule cong :premises (@p2097 @p2079) :args (@t2498)) % 1.11/1.39 (step @p2099 :rule cong :premises (@p1945) :args ((forall @t135 @t2473))) % 1.11/1.39 (step @p2100 :rule cong :premises (@p1951) :args (@t805)) % 1.11/1.39 (step @p2101 :rule trans :premises (@p2100 @p2099)) % 1.11/1.39 (step @p2102 :rule refl :args (tptp.ksndpairEq)) % 1.11/1.39 (step @p2103 :rule cong :premises (@p2102 @p2101) :args (@t806)) % 1.11/1.39 (step @p2104 :rule eq_resolve :premises (@p173 @p2103)) % 1.11/1.39 (step @p2105 :rule cong :premises (@p2104 @p2098) :args (@t2499)) % 1.11/1.39 (step @p2106 :rule refl :args (@t1316)) % 1.11/1.39 (step @p2107 :rule nary_cong :premises (@p2085 @p2106) :args (@t2500)) % 1.11/1.39 (step @p2108 :rule cong :premises (@p2107) :args ((forall @t751 @t2500))) % 1.11/1.39 (step @p2109 :rule bool-impl-elim :args (@t689 @t1316)) % 1.11/1.39 (step @p2110 :rule cong :premises (@p2109) :args ((forall @t751 (=> @t689 @t1316)))) % 1.11/1.39 (step @p2111 :rule trans :premises (@p2110 @p2108)) % 1.11/1.39 (step @p2112 :rule refl :args ((tptp.dsetconstr @t747 @t2503))) % 1.11/1.39 (step @p2113 :rule refl :args ((tptp.kpair @t763 @t1308))) % 1.11/1.39 (step @p2114 :rule refl :args (@t1308)) % 1.11/1.39 (step @p2115 :rule cong :premises (@p1867 @p2114) :args (@t1309)) % 1.11/1.39 (step @p2116 :rule trans :premises (@p2115 @p2113)) % 1.11/1.39 (step @p2117 :rule cong :premises (@p1888 @p2116) :args (@t1310)) % 1.11/1.39 (step @p2118 :rule cong :premises (@p2117) :args (@t1312)) % 1.11/1.39 (step @p2119 :rule refl :args (@t1313)) % 1.11/1.39 (step @p2120 :rule cong :premises (@p2119 @p2118) :args (@t1314)) % 1.11/1.39 (step @p2121 :rule trans :premises (@p2120 @p2112)) % 1.11/1.39 (step @p2122 :rule refl :args (tptp.dsetconstr)) % 1.11/1.39 (step @p2123 :rule ho_cong :premises (@p2122 @p2119)) % 1.11/1.39 (step @p2124 :rule ho_cong :premises (@p2123 @p2118)) % 1.11/1.39 (step @p2125 :rule cong :premises (@p2124 @p2121) :args ((= (_ @t2504 @t1312) @t1314))) % 1.11/1.39 (step @p2126 :rule symm :premises (@p2125)) % 1.11/1.39 (step @p2127 :rule refl :args (@t2505)) % 1.11/1.39 (step @p2128 :rule eq_resolve :premises (@p2127 @p2126)) % 1.11/1.39 (step @p2129 :rule ho_cong :premises (@p1871 @p2114)) % 1.11/1.39 (step @p2130 :rule cong :premises (@p2129 @p2116) :args ((= (_ @t2459 @t1308) @t1309))) % 1.11/1.39 (step @p2131 :rule symm :premises (@p2130)) % 1.11/1.39 (step @p2132 :rule refl :args (@t2501)) % 1.11/1.39 (step @p2133 :rule eq_resolve :premises (@p2132 @p2131)) % 1.11/1.39 (step @p2134 :rule ho_cong :premises (@p1885 @p2114)) % 1.11/1.39 (step @p2135 :rule trans :premises (@p2134 @p2133)) % 1.11/1.39 (step @p2136 :rule cong :premises (@p1888 @p2135) :args (@t2502)) % 1.11/1.39 (step @p2137 :rule cong :premises (@p2136) :args (@t2503)) % 1.11/1.39 (step @p2138 :rule refl :args (@t747)) % 1.11/1.39 (step @p2139 :rule cong :premises (@p2138 @p2119) :args ((= @t747 @t1313))) % 1.11/1.39 (step @p2140 :rule symm :premises (@p2139)) % 1.11/1.39 (step @p2141 :rule eq_resolve :premises (@p2138 @p2140)) % 1.11/1.39 (step @p2142 :rule ho_cong :premises (@p2122 @p2141)) % 1.11/1.39 (step @p2143 :rule ho_cong :premises (@p2142 @p2137)) % 1.11/1.39 (step @p2144 :rule trans :premises (@p2143 @p2128)) % 1.11/1.39 (step @p2145 :rule cong :premises (@p771 @p2144) :args (@t2506)) % 1.11/1.39 (step @p2146 :rule cong :premises (@p2145) :args (@t2507)) % 1.11/1.39 (step @p2147 :rule cong :premises (@p774 @p2144) :args (@t2508)) % 1.11/1.39 (step @p2148 :rule cong :premises (@p2147) :args (@t2509)) % 1.11/1.39 (step @p2149 :rule nary_cong :premises (@p2148 @p2146) :args (@t2510)) % 1.11/1.39 (step @p2150 :rule cong :premises (@p2149) :args ((forall @t9 @t2510))) % 1.11/1.39 (step @p2151 :rule alpha_equiv :args (@t798 @t2061 (@list @t1308))) % 1.11/1.39 (step @p2152 :rule refl :args (@t748)) % 1.11/1.39 (step @p2153 :rule ho_cong :premises (@p2152 @p2151)) % 1.11/1.39 (step @p2154 :rule cong :premises (@p771 @p2153) :args (@t2511)) % 1.11/1.39 (step @p2155 :rule cong :premises (@p2154) :args (@t2512)) % 1.11/1.39 (step @p2156 :rule cong :premises (@p774 @p2153) :args (@t2513)) % 1.11/1.39 (step @p2157 :rule cong :premises (@p2156) :args (@t2514)) % 1.11/1.39 (step @p2158 :rule nary_cong :premises (@p2157 @p2155) :args (@t2515)) % 1.11/1.39 (step @p2159 :rule cong :premises (@p2158) :args ((forall @t9 @t2515))) % 1.11/1.39 (step @p2160 :rule trans :premises (@p2159 @p2150)) % 1.11/1.39 (step @p2161 :rule eq-symm :args (@t799 @t1315)) % 1.11/1.39 (step @p2162 :rule cong :premises (@p2161) :args (@t2516)) % 1.11/1.39 (step @p2163 :rule refl :args (@t2514)) % 1.11/1.39 (step @p2164 :rule nary_cong :premises (@p2163 @p2162) :args (@t2517)) % 1.11/1.39 (step @p2165 :rule cong :premises (@p2164) :args (@t2518)) % 1.11/1.39 (step @p2166 :rule trans :premises (@p2165 @p2160)) % 1.11/1.39 (step @p2167 :rule cong :premises (@p2166) :args (@t2519)) % 1.11/1.39 (step @p2168 :rule beta-reduce :args ((= @t2520 @t2519))) % 1.11/1.39 (step @p2169 :rule trans :premises (@p2168 @p2167)) % 1.11/1.39 (step @p2170 :rule cong :premises (@p2091 @p2169) :args (@t2521)) % 1.11/1.39 (step @p2171 :rule cong :premises (@p2170) :args (@t2522)) % 1.11/1.39 (step @p2172 :rule trans :premises (@p2171 @p2111)) % 1.11/1.39 (step @p2173 :rule refl :args (tptp.ksndsingleton)) % 1.11/1.39 (step @p2174 :rule cong :premises (@p2173 @p2172) :args ((= tptp.ksndsingleton @t2522))) % 1.11/1.39 (step @p2175 :rule refl :args (@t799)) % 1.11/1.39 (step @p2176 :rule ho_cong :premises (@p870 @p2175)) % 1.11/1.39 (step @p2177 :rule cong :premises (@p2091 @p2176) :args (@t800)) % 1.11/1.39 (step @p2178 :rule cong :premises (@p2177) :args (@t801)) % 1.11/1.39 (step @p2179 :rule cong :premises (@p2173 @p2178) :args (@t802)) % 1.11/1.39 (step @p2180 :rule trans :premises (@p2179 @p2174)) % 1.11/1.39 (step @p2181 :rule eq_resolve :premises (@p172 @p2180)) % 1.11/1.39 (step @p2182 :rule cong :premises (@p2181 @p2105) :args (@t2523)) % 1.11/1.39 (step @p2183 :rule refl :args (@t786)) % 1.11/1.39 (step @p2184 :rule refl :args (@t1318)) % 1.11/1.39 (step @p2185 :rule refl :args (@t775)) % 1.11/1.39 (step @p2186 :rule cong :premises (@p2185 @p2184) :args ((= @t775 @t1318))) % 1.11/1.39 (step @p2187 :rule symm :premises (@p2186)) % 1.11/1.39 (step @p2188 :rule eq_resolve :premises (@p2185 @p2187)) % 1.11/1.39 (step @p2189 :rule cong :premises (@p977 @p2188) :args (@t776)) % 1.11/1.39 (step @p2190 :rule cong :premises (@p2189) :args (@t2524)) % 1.11/1.39 (step @p2191 :rule nary_cong :premises (@p2190 @p2183) :args (@t2525)) % 1.11/1.39 (step @p2192 :rule cong :premises (@p2191) :args ((forall @t772 @t2525))) % 1.11/1.39 (step @p2193 :rule bool-impl-elim :args (@t776 @t786)) % 1.11/1.39 (step @p2194 :rule cong :premises (@p2193) :args (@t795)) % 1.11/1.39 (step @p2195 :rule trans :premises (@p2194 @p2192)) % 1.11/1.39 (step @p2196 :rule refl :args (tptp.setukpairinjR)) % 1.11/1.39 (step @p2197 :rule cong :premises (@p2196 @p2195) :args (@t796)) % 1.11/1.39 (step @p2198 :rule eq_resolve :premises (@p171 @p2197)) % 1.11/1.39 (step @p2199 :rule cong :premises (@p2198 @p2182) :args (@t2526)) % 1.11/1.39 (step @p2200 :rule refl :args ((tptp.setadjoin @t742 @t769))) % 1.11/1.39 (step @p2201 :rule refl :args ((tptp.setadjoin @t768 tptp.emptyset))) % 1.11/1.39 (step @p2202 :rule refl :args ((tptp.setadjoin @t289 @t767))) % 1.11/1.39 (step @p2203 :rule refl :args (@t1321)) % 1.11/1.39 (step @p2204 :rule refl :args (@t289)) % 1.11/1.39 (step @p2205 :rule cong :premises (@p2204 @p2203) :args (@t1322)) % 1.11/1.39 (step @p2206 :rule trans :premises (@p2205 @p2202)) % 1.11/1.39 (step @p2207 :rule cong :premises (@p2206 @p265) :args (@t1323)) % 1.11/1.39 (step @p2208 :rule trans :premises (@p2207 @p2201)) % 1.11/1.39 (step @p2209 :rule refl :args (@t1324)) % 1.11/1.39 (step @p2210 :rule cong :premises (@p2209 @p2208) :args (@t1325)) % 1.11/1.39 (step @p2211 :rule trans :premises (@p2210 @p2200)) % 1.11/1.39 (step @p2212 :rule refl :args (tptp.setadjoin)) % 1.11/1.39 (step @p2213 :rule ho_cong :premises (@p2212 @p2209)) % 1.11/1.39 (step @p2214 :rule ho_cong :premises (@p2213 @p2208)) % 1.11/1.39 (step @p2215 :rule cong :premises (@p2214 @p2211) :args ((= (_ (_ tptp.setadjoin @t1324) @t1323) @t1325))) % 1.11/1.39 (step @p2216 :rule symm :premises (@p2215)) % 1.11/1.39 (step @p2217 :rule refl :args (@t770)) % 1.11/1.39 (step @p2218 :rule eq_resolve :premises (@p2217 @p2216)) % 1.11/1.39 (step @p2219 :rule ho_cong :premises (@p2212 @p2206)) % 1.11/1.39 (step @p2220 :rule ho_cong :premises (@p2219 @p265)) % 1.11/1.39 (step @p2221 :rule cong :premises (@p2220 @p2208) :args ((= (_ (_ tptp.setadjoin @t1322) tptp.emptyset) @t1323))) % 1.11/1.39 (step @p2222 :rule symm :premises (@p2221)) % 1.11/1.39 (step @p2223 :rule refl :args (@t769)) % 1.11/1.39 (step @p2224 :rule eq_resolve :premises (@p2223 @p2222)) % 1.11/1.39 (step @p2225 :rule refl :args (@t741)) % 1.11/1.39 (step @p2226 :rule ho_cong :premises (@p2225 @p2203)) % 1.11/1.39 (step @p2227 :rule cong :premises (@p2226 @p2206) :args ((= (_ @t741 @t1321) @t1322))) % 1.11/1.39 (step @p2228 :rule symm :premises (@p2227)) % 1.11/1.39 (step @p2229 :rule refl :args (@t768)) % 1.11/1.39 (step @p2230 :rule eq_resolve :premises (@p2229 @p2228)) % 1.11/1.39 (step @p2231 :rule refl :args (@t767)) % 1.11/1.39 (step @p2232 :rule cong :premises (@p2231 @p2203) :args ((= @t767 @t1321))) % 1.11/1.39 (step @p2233 :rule symm :premises (@p2232)) % 1.11/1.39 (step @p2234 :rule eq_resolve :premises (@p2231 @p2233)) % 1.11/1.39 (step @p2235 :rule ho_cong :premises (@p2225 @p2234)) % 1.11/1.39 (step @p2236 :rule trans :premises (@p2235 @p2230)) % 1.11/1.39 (step @p2237 :rule ho_cong :premises (@p2212 @p2236)) % 1.11/1.39 (step @p2238 :rule ho_cong :premises (@p2237 @p265)) % 1.11/1.39 (step @p2239 :rule trans :premises (@p2238 @p2224)) % 1.11/1.39 (step @p2240 :rule refl :args (@t742)) % 1.11/1.39 (step @p2241 :rule cong :premises (@p2240 @p2209) :args ((= @t742 @t1324))) % 1.11/1.39 (step @p2242 :rule symm :premises (@p2241)) % 1.11/1.39 (step @p2243 :rule eq_resolve :premises (@p2240 @p2242)) % 1.11/1.39 (step @p2244 :rule ho_cong :premises (@p2212 @p2243)) % 1.11/1.39 (step @p2245 :rule ho_cong :premises (@p2244 @p2239)) % 1.11/1.39 (step @p2246 :rule trans :premises (@p2245 @p2218)) % 1.11/1.39 (step @p2247 :rule refl :args ((tptp.setadjoin @t279 @t616))) % 1.11/1.39 (step @p2248 :rule refl :args ((tptp.setadjoin @t291 tptp.emptyset))) % 1.11/1.39 (step @p2249 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.11/1.39 (step @p2250 :rule refl :args (@t1326)) % 1.11/1.39 (step @p2251 :rule cong :premises (@p774 @p2250) :args (@t1327)) % 1.11/1.39 (step @p2252 :rule trans :premises (@p2251 @p2249)) % 1.11/1.39 (step @p2253 :rule cong :premises (@p2252 @p265) :args (@t1328)) % 1.11/1.39 (step @p2254 :rule trans :premises (@p2253 @p2248)) % 1.11/1.39 (step @p2255 :rule cong :premises (@p854 @p2254) :args (@t1329)) % 1.11/1.39 (step @p2256 :rule trans :premises (@p2255 @p2247)) % 1.11/1.39 (step @p2257 :rule ho_cong :premises (@p2212 @p854)) % 1.11/1.39 (step @p2258 :rule ho_cong :premises (@p2257 @p2254)) % 1.11/1.39 (step @p2259 :rule cong :premises (@p2258 @p2256) :args ((= (_ @t2527 @t1328) @t1329))) % 1.11/1.39 (step @p2260 :rule symm :premises (@p2259)) % 1.11/1.39 (step @p2261 :rule refl :args (@t618)) % 1.11/1.39 (step @p2262 :rule eq_resolve :premises (@p2261 @p2260)) % 1.11/1.39 (step @p2263 :rule ho_cong :premises (@p2212 @p2252)) % 1.11/1.39 (step @p2264 :rule ho_cong :premises (@p2263 @p265)) % 1.11/1.39 (step @p2265 :rule cong :premises (@p2264 @p2254) :args ((= (_ (_ tptp.setadjoin @t1327) tptp.emptyset) @t1328))) % 1.11/1.39 (step @p2266 :rule symm :premises (@p2265)) % 1.11/1.39 (step @p2267 :rule refl :args (@t616)) % 1.11/1.39 (step @p2268 :rule eq_resolve :premises (@p2267 @p2266)) % 1.11/1.39 (step @p2269 :rule refl :args (@t24)) % 1.11/1.39 (step @p2270 :rule ho_cong :premises (@p2269 @p2250)) % 1.11/1.39 (step @p2271 :rule cong :premises (@p2270 @p2252) :args ((= (_ @t24 @t1326) @t1327))) % 1.11/1.39 (step @p2272 :rule symm :premises (@p2271)) % 1.11/1.39 (step @p2273 :rule refl :args (@t291)) % 1.11/1.39 (step @p2274 :rule eq_resolve :premises (@p2273 @p2272)) % 1.11/1.39 (step @p2275 :rule refl :args (@t275)) % 1.11/1.39 (step @p2276 :rule cong :premises (@p2275 @p2250) :args ((= @t275 @t1326))) % 1.11/1.39 (step @p2277 :rule symm :premises (@p2276)) % 1.11/1.39 (step @p2278 :rule eq_resolve :premises (@p2275 @p2277)) % 1.11/1.39 (step @p2279 :rule ho_cong :premises (@p2269 @p2278)) % 1.11/1.39 (step @p2280 :rule trans :premises (@p2279 @p2274)) % 1.11/1.39 (step @p2281 :rule ho_cong :premises (@p2212 @p2280)) % 1.11/1.39 (step @p2282 :rule ho_cong :premises (@p2281 @p265)) % 1.11/1.39 (step @p2283 :rule trans :premises (@p2282 @p2268)) % 1.11/1.39 (step @p2284 :rule ho_cong :premises (@p2212 @p858)) % 1.11/1.39 (step @p2285 :rule ho_cong :premises (@p2284 @p2283)) % 1.11/1.39 (step @p2286 :rule trans :premises (@p2285 @p2262)) % 1.11/1.39 (step @p2287 :rule cong :premises (@p2286 @p2246) :args (@t771)) % 1.11/1.39 (step @p2288 :rule cong :premises (@p2287) :args (@t2528)) % 1.11/1.39 (step @p2289 :rule nary_cong :premises (@p2288 @p2183) :args (@t2529)) % 1.11/1.39 (step @p2290 :rule cong :premises (@p2289) :args ((forall @t772 @t2529))) % 1.11/1.39 (step @p2291 :rule bool-impl-elim :args (@t771 @t786)) % 1.11/1.39 (step @p2292 :rule cong :premises (@p2291) :args (@t793)) % 1.11/1.39 (step @p2293 :rule trans :premises (@p2292 @p2290)) % 1.11/1.39 (step @p2294 :rule refl :args (tptp.setukpairinjR2)) % 1.11/1.39 (step @p2295 :rule cong :premises (@p2294 @p2293) :args (@t794)) % 1.11/1.39 (step @p2296 :rule eq_resolve :premises (@p170 @p2295)) % 1.11/1.39 (step @p2297 :rule cong :premises (@p2296 @p2199) :args (@t2530)) % 1.11/1.39 (step @p2298 :rule cong :premises (@p2280 @p2243) :args (@t790)) % 1.11/1.39 (step @p2299 :rule cong :premises (@p2298) :args (@t2531)) % 1.11/1.39 (step @p2300 :rule nary_cong :premises (@p2299 @p711) :args (@t2532)) % 1.11/1.39 (step @p2301 :rule cong :premises (@p2300) :args ((forall @t295 @t2532))) % 1.11/1.39 (step @p2302 :rule bool-impl-elim :args (@t790 @t129)) % 1.11/1.39 (step @p2303 :rule cong :premises (@p2302) :args (@t791)) % 1.11/1.39 (step @p2304 :rule trans :premises (@p2303 @p2301)) % 1.11/1.39 (step @p2305 :rule refl :args (tptp.upairequniteq)) % 1.11/1.39 (step @p2306 :rule cong :premises (@p2305 @p2304) :args (@t792)) % 1.11/1.39 (step @p2307 :rule eq_resolve :premises (@p169 @p2306)) % 1.11/1.39 (step @p2308 :rule cong :premises (@p2307 @p2297) :args (@t2533)) % 1.11/1.39 (step @p2309 :rule aci_norm :args ((= (or @t1333 false @t786) @t1334))) % 1.11/1.39 (step @p2310 :rule refl :args (@t786)) % 1.11/1.39 (step @p2311 :rule evaluate :args (@t2534)) % 1.11/1.39 (step @p2312 :rule eq-refl :args (@t381)) % 1.11/1.39 (step @p2313 :rule cong :premises (@p2312) :args (@t2535)) % 1.11/1.39 (step @p2314 :rule trans :premises (@p2313 @p2311)) % 1.11/1.39 (step @p2315 :rule refl :args (@t1333)) % 1.11/1.39 (step @p2316 :rule nary_cong :premises (@p2315 @p2314 @p2310) :args (@t2536)) % 1.11/1.39 (step @p2317 :rule trans :premises (@p2316 @p2309)) % 1.11/1.39 (step @p2318 :rule cong :premises (@p2317) :args ((forall @t1335 @t2536))) % 1.11/1.39 (step @p2319 :rule quant-var-elim-eq :args ((= (forall @t2539 @t2538) @t2536))) % 1.11/1.39 (step @p2320 :rule aci_norm :args ((= @t2540 @t2538))) % 1.11/1.39 (step @p2321 :rule cong :premises (@p2320) :args (@t2541)) % 1.11/1.39 (step @p2322 :rule trans :premises (@p2321 @p2319)) % 1.11/1.39 (step @p2323 :rule cong :premises (@p2322) :args (@t2542)) % 1.11/1.39 (step @p2324 :rule quant-merge-prenex :args ((= @t2542 @t2543))) % 1.11/1.39 (step @p2325 :rule symm :premises (@p2324)) % 1.11/1.39 (step @p2326 :rule quant_var_reordering :args ((= (forall @t772 @t2540) @t2543))) % 1.11/1.39 (step @p2327 :rule trans :premises (@p2326 @p2325 @p2323)) % 1.11/1.39 (step @p2328 :rule trans :premises (@p2327 @p2318)) % 1.11/1.39 (step @p2329 :rule refl :args (@t2537)) % 1.11/1.39 (step @p2330 :rule nary_cong :premises (@p2288 @p2329 @p2183) :args (@t2544)) % 1.11/1.39 (step @p2331 :rule cong :premises (@p2330) :args ((forall @t772 @t2544))) % 1.11/1.39 (step @p2332 :rule trans :premises (@p2331 @p2328)) % 1.11/1.39 (step @p2333 :rule aci_norm :args ((= (or @t2528 (or @t2537 @t786)) @t2544))) % 1.11/1.39 (step @p2334 :rule bool-impl-elim :args (@t385 @t786)) % 1.11/1.39 (step @p2335 :rule refl :args (@t2528)) % 1.11/1.39 (step @p2336 :rule nary_cong :premises (@p2335 @p2334) :args ((or @t2528 @t787))) % 1.11/1.39 (step @p2337 :rule trans :premises (@p2336 @p2333)) % 1.11/1.39 (step @p2338 :rule bool-impl-elim :args (@t771 @t787)) % 1.11/1.39 (step @p2339 :rule trans :premises (@p2338 @p2337)) % 1.11/1.39 (step @p2340 :rule cong :premises (@p2339) :args (@t788)) % 1.11/1.39 (step @p2341 :rule trans :premises (@p2340 @p2332)) % 1.11/1.39 (step @p2342 :rule refl :args (tptp.setukpairinjR1)) % 1.11/1.39 (step @p2343 :rule cong :premises (@p2342 @p2341) :args (@t789)) % 1.11/1.39 (step @p2344 :rule eq_resolve :premises (@p168 @p2343)) % 1.11/1.39 (step @p2345 :rule cong :premises (@p2344 @p2308) :args (@t2545)) % 1.11/1.39 (step @p2346 :rule aci_norm :args ((= (or false @t1338) @t1338))) % 1.11/1.39 (step @p2347 :rule refl :args (@t1338)) % 1.11/1.39 (step @p2348 :rule eq-refl :args (@t19)) % 1.11/1.39 (step @p2349 :rule cong :premises (@p2348) :args (@t2546)) % 1.11/1.39 (step @p2350 :rule trans :premises (@p2349 @p2311)) % 1.11/1.39 (step @p2351 :rule nary_cong :premises (@p2350 @p2347) :args (@t2547)) % 1.11/1.39 (step @p2352 :rule trans :premises (@p2351 @p2346)) % 1.11/1.39 (step @p2353 :rule cong :premises (@p2352) :args ((forall @t70 @t2547))) % 1.11/1.39 (step @p2354 :rule quant-var-elim-eq :args ((= (forall @t9 @t2550) @t2547))) % 1.11/1.39 (step @p2355 :rule aci_norm :args ((= @t2551 @t2550))) % 1.11/1.39 (step @p2356 :rule cong :premises (@p2355) :args (@t2552)) % 1.11/1.39 (step @p2357 :rule trans :premises (@p2356 @p2354)) % 1.11/1.39 (step @p2358 :rule cong :premises (@p2357) :args (@t2553)) % 1.11/1.39 (step @p2359 :rule quant-merge-prenex :args ((= @t2553 @t2555))) % 1.11/1.39 (step @p2360 :rule symm :premises (@p2359)) % 1.11/1.39 (step @p2361 :rule quant_var_reordering :args ((= (forall @t135 @t2551) @t2555))) % 1.11/1.39 (step @p2362 :rule trans :premises (@p2361 @p2360 @p2358)) % 1.11/1.39 (step @p2363 :rule trans :premises (@p2362 @p2353)) % 1.11/1.39 (step @p2364 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.11/1.39 (step @p2365 :rule cong :premises (@p854 @p265) :args (@t2548)) % 1.11/1.39 (step @p2366 :rule trans :premises (@p2365 @p2364)) % 1.11/1.39 (step @p2367 :rule ho_cong :premises (@p2257 @p265)) % 1.11/1.39 (step @p2368 :rule cong :premises (@p2367 @p2366) :args ((= (_ @t2527 tptp.emptyset) @t2548))) % 1.11/1.39 (step @p2369 :rule symm :premises (@p2368)) % 1.11/1.39 (step @p2370 :rule refl :args (@t782)) % 1.11/1.39 (step @p2371 :rule eq_resolve :premises (@p2370 @p2369)) % 1.11/1.39 (step @p2372 :rule ho_cong :premises (@p2284 @p265)) % 1.11/1.39 (step @p2373 :rule trans :premises (@p2372 @p2371)) % 1.11/1.39 (step @p2374 :rule cong :premises (@p2286 @p2373) :args (@t783)) % 1.11/1.39 (step @p2375 :rule refl :args (@t282)) % 1.11/1.39 (step @p2376 :rule nary_cong :premises (@p2375 @p2374) :args (@t2556)) % 1.11/1.39 (step @p2377 :rule cong :premises (@p2376) :args ((forall @t135 @t2556))) % 1.11/1.39 (step @p2378 :rule trans :premises (@p2377 @p2363)) % 1.11/1.39 (step @p2379 :rule bool-impl-elim :args (@t129 @t783)) % 1.11/1.39 (step @p2380 :rule cong :premises (@p2379) :args (@t784)) % 1.11/1.39 (step @p2381 :rule trans :premises (@p2380 @p2378)) % 1.11/1.39 (step @p2382 :rule refl :args (tptp.setukpairinjR12)) % 1.11/1.39 (step @p2383 :rule cong :premises (@p2382 @p2381) :args (@t785)) % 1.11/1.39 (step @p2384 :rule eq_resolve :premises (@p167 @p2383)) % 1.11/1.39 (step @p2385 :rule cong :premises (@p2384 @p2345) :args (@t2557)) % 1.11/1.39 (step @p2386 :rule aci_norm :args ((= (or false @t1340) @t1340))) % 1.11/1.39 (step @p2387 :rule refl :args (@t1340)) % 1.11/1.39 (step @p2388 :rule nary_cong :premises (@p2350 @p2387) :args (@t2558)) % 1.11/1.39 (step @p2389 :rule trans :premises (@p2388 @p2386)) % 1.11/1.39 (step @p2390 :rule cong :premises (@p2389) :args ((forall @t70 @t2558))) % 1.11/1.39 (step @p2391 :rule quant-var-elim-eq :args ((= (forall @t9 @t2560) @t2558))) % 1.11/1.39 (step @p2392 :rule aci_norm :args ((= @t2561 @t2560))) % 1.11/1.39 (step @p2393 :rule cong :premises (@p2392) :args (@t2562)) % 1.11/1.39 (step @p2394 :rule trans :premises (@p2393 @p2391)) % 1.11/1.39 (step @p2395 :rule cong :premises (@p2394) :args (@t2563)) % 1.11/1.39 (step @p2396 :rule quant-merge-prenex :args ((= @t2563 @t2564))) % 1.11/1.39 (step @p2397 :rule symm :premises (@p2396)) % 1.11/1.39 (step @p2398 :rule quant_var_reordering :args ((= (forall @t135 @t2561) @t2564))) % 1.11/1.39 (step @p2399 :rule trans :premises (@p2398 @p2397 @p2395)) % 1.11/1.39 (step @p2400 :rule trans :premises (@p2399 @p2390)) % 1.11/1.39 (step @p2401 :rule cong :premises (@p858 @p2280) :args (@t2565)) % 1.11/1.39 (step @p2402 :rule nary_cong :premises (@p2375 @p2401) :args (@t2566)) % 1.11/1.39 (step @p2403 :rule cong :premises (@p2402) :args ((forall @t135 @t2566))) % 1.11/1.39 (step @p2404 :rule trans :premises (@p2403 @p2400)) % 1.11/1.39 (step @p2405 :rule bool-impl-elim :args (@t129 @t2565)) % 1.11/1.39 (step @p2406 :rule cong :premises (@p2405) :args ((forall @t135 (=> @t129 @t2565)))) % 1.11/1.39 (step @p2407 :rule trans :premises (@p2406 @p2404)) % 1.11/1.39 (step @p2408 :rule eq-symm :args (@t291 @t279)) % 1.11/1.39 (step @p2409 :rule refl :args (@t129)) % 1.11/1.39 (step @p2410 :rule cong :premises (@p2409 @p2408) :args (@t779)) % 1.11/1.39 (step @p2411 :rule cong :premises (@p2410) :args (@t780)) % 1.11/1.39 (step @p2412 :rule trans :premises (@p2411 @p2407)) % 1.11/1.39 (step @p2413 :rule refl :args (tptp.setukpairinjR11)) % 1.11/1.39 (step @p2414 :rule cong :premises (@p2413 @p2412) :args (@t781)) % 1.11/1.39 (step @p2415 :rule eq_resolve :premises (@p166 @p2414)) % 1.11/1.39 (step @p2416 :rule cong :premises (@p2415 @p2385) :args (@t2567)) % 1.11/1.39 (step @p2417 :rule refl :args (@t740)) % 1.11/1.39 (step @p2418 :rule nary_cong :premises (@p2190 @p2417) :args (@t2568)) % 1.11/1.39 (step @p2419 :rule cong :premises (@p2418) :args ((forall @t772 @t2568))) % 1.11/1.39 (step @p2420 :rule bool-impl-elim :args (@t776 @t740)) % 1.11/1.39 (step @p2421 :rule cong :premises (@p2420) :args (@t777)) % 1.11/1.39 (step @p2422 :rule trans :premises (@p2421 @p2419)) % 1.11/1.39 (step @p2423 :rule refl :args (tptp.setukpairinjL)) % 1.11/1.39 (step @p2424 :rule cong :premises (@p2423 @p2422) :args (@t778)) % 1.11/1.39 (step @p2425 :rule eq_resolve :premises (@p165 @p2424)) % 1.11/1.39 (step @p2426 :rule cong :premises (@p2425 @p2416) :args (@t2569)) % 1.11/1.39 (step @p2427 :rule nary_cong :premises (@p2288 @p2417) :args (@t2570)) % 1.11/1.39 (step @p2428 :rule cong :premises (@p2427) :args ((forall @t772 @t2570))) % 1.11/1.39 (step @p2429 :rule bool-impl-elim :args (@t771 @t740)) % 1.11/1.39 (step @p2430 :rule cong :premises (@p2429) :args (@t773)) % 1.11/1.39 (step @p2431 :rule trans :premises (@p2430 @p2428)) % 1.11/1.39 (step @p2432 :rule refl :args (tptp.setukpairinjL2)) % 1.11/1.39 (step @p2433 :rule cong :premises (@p2432 @p2431) :args (@t774)) % 1.11/1.39 (step @p2434 :rule eq_resolve :premises (@p164 @p2433)) % 1.11/1.39 (step @p2435 :rule cong :premises (@p2434 @p2426) :args (@t2571)) % 1.11/1.39 (step @p2436 :rule refl :args ((tptp.in @t763 @t2))) % 1.11/1.39 (step @p2437 :rule cong :premises (@p1867 @p769) :args (@t1344)) % 1.11/1.39 (step @p2438 :rule trans :premises (@p2437 @p2436)) % 1.11/1.39 (step @p2439 :rule ho_cong :premises (@p983 @p1867)) % 1.11/1.39 (step @p2440 :rule ho_cong :premises (@p2439 @p769)) % 1.11/1.39 (step @p2441 :rule cong :premises (@p2440 @p2438) :args ((= (_ (_ tptp.in @t1280) @t2) @t1344))) % 1.11/1.39 (step @p2442 :rule symm :premises (@p2441)) % 1.11/1.39 (step @p2443 :rule refl :args (@t764)) % 1.11/1.39 (step @p2444 :rule eq_resolve :premises (@p2443 @p2442)) % 1.11/1.39 (step @p2445 :rule ho_cong :premises (@p983 @p1884)) % 1.11/1.39 (step @p2446 :rule ho_cong :premises (@p2445 @p769)) % 1.11/1.39 (step @p2447 :rule trans :premises (@p2446 @p2444)) % 1.11/1.39 (step @p2448 :rule nary_cong :premises (@p1901 @p2447) :args (@t2572)) % 1.11/1.39 (step @p2449 :rule cong :premises (@p2448) :args ((forall @t686 @t2572))) % 1.11/1.39 (step @p2450 :rule bool-impl-elim :args (@t684 @t764)) % 1.11/1.39 (step @p2451 :rule cong :premises (@p2450) :args (@t765)) % 1.11/1.39 (step @p2452 :rule trans :premises (@p2451 @p2449)) % 1.11/1.39 (step @p2453 :rule refl :args (tptp.cartprodfstin)) % 1.11/1.39 (step @p2454 :rule cong :premises (@p2453 @p2452) :args (@t766)) % 1.11/1.39 (step @p2455 :rule eq_resolve :premises (@p163 @p2454)) % 1.11/1.39 (step @p2456 :rule cong :premises (@p2455 @p2435) :args (@t2573)) % 1.11/1.39 (step @p2457 :rule cong :premises (@p1992) :args ((forall @t135 @t2485))) % 1.11/1.39 (step @p2458 :rule cong :premises (@p1998) :args (@t761)) % 1.11/1.39 (step @p2459 :rule trans :premises (@p2458 @p2457)) % 1.11/1.39 (step @p2460 :rule refl :args (tptp.kfstpairEq)) % 1.11/1.39 (step @p2461 :rule cong :premises (@p2460 @p2459) :args (@t762)) % 1.11/1.39 (step @p2462 :rule eq_resolve :premises (@p162 @p2461)) % 1.11/1.39 (step @p2463 :rule cong :premises (@p2462 @p2456) :args (@t2574)) % 1.11/1.39 (step @p2464 :rule aci_norm :args ((= (or @t1352 @t1351 false) @t1353))) % 1.11/1.39 (step @p2465 :rule eq-refl :args (@t1350)) % 1.11/1.39 (step @p2466 :rule cong :premises (@p2465) :args (@t2575)) % 1.11/1.39 (step @p2467 :rule trans :premises (@p2466 @p2311)) % 1.11/1.39 (step @p2468 :rule refl :args (@t1351)) % 1.11/1.39 (step @p2469 :rule refl :args (@t1352)) % 1.11/1.39 (step @p2470 :rule nary_cong :premises (@p2469 @p2468 @p2467) :args (@t2576)) % 1.11/1.39 (step @p2471 :rule trans :premises (@p2470 @p2464)) % 1.11/1.39 (step @p2472 :rule cong :premises (@p2471) :args ((forall @t1354 @t2576))) % 1.11/1.39 (step @p2473 :rule quant-var-elim-eq :args ((= (forall @t696 @t2581) @t2576))) % 1.11/1.39 (step @p2474 :rule aci_norm :args ((= @t2582 @t2581))) % 1.11/1.39 (step @p2475 :rule cong :premises (@p2474) :args (@t2583)) % 1.11/1.39 (step @p2476 :rule trans :premises (@p2475 @p2473)) % 1.11/1.39 (step @p2477 :rule cong :premises (@p2476) :args (@t2584)) % 1.11/1.39 (step @p2478 :rule quant-merge-prenex :args ((= @t2584 @t2585))) % 1.11/1.39 (step @p2479 :rule symm :premises (@p2478)) % 1.11/1.39 (step @p2480 :rule quant_var_reordering :args ((= (forall @t2586 @t2582) @t2585))) % 1.11/1.39 (step @p2481 :rule trans :premises (@p2480 @p2479 @p2477)) % 1.11/1.39 (step @p2482 :rule trans :premises (@p2481 @p2472)) % 1.11/1.39 (step @p2483 :rule aci_norm :args ((= @t2588 @t2582))) % 1.11/1.39 (step @p2484 :rule cong :premises (@p2483) :args (@t2589)) % 1.11/1.39 (step @p2485 :rule trans :premises (@p2484 @p2482)) % 1.11/1.39 (step @p2486 :rule quant-merge-prenex :args ((= (forall @t696 @t2590) @t2589))) % 1.11/1.39 (step @p2487 :rule refl :args (@t2580)) % 1.11/1.39 (step @p2488 :rule alpha_equiv :args (@t2591 (@list @t1349) @t2061)) % 1.11/1.39 (step @p2489 :rule nary_cong :premises (@p2488 @p2487) :args (@t2592)) % 1.11/1.39 (step @p2490 :rule quant-miniscope-or :args ((= @t2590 @t2592))) % 1.11/1.39 (step @p2491 :rule trans :premises (@p2490 @p2489)) % 1.11/1.39 (step @p2492 :rule symm :premises (@p2491)) % 1.11/1.39 (step @p2493 :rule cong :premises (@p2492) :args ((forall @t696 (or @t2593 @t2580)))) % 1.11/1.39 (step @p2494 :rule trans :premises (@p2493 @p2486)) % 1.11/1.39 (step @p2495 :rule trans :premises (@p2494 @p2485)) % 1.11/1.39 (step @p2496 :rule refl :args ((tptp.in @t754 @t692))) % 1.11/1.39 (step @p2497 :rule refl :args (@t692)) % 1.11/1.39 (step @p2498 :rule refl :args (@t2579)) % 1.11/1.39 (step @p2499 :rule cong :premises (@p2498 @p2497) :args (@t2580)) % 1.11/1.39 (step @p2500 :rule trans :premises (@p2499 @p2496)) % 1.11/1.39 (step @p2501 :rule ho_cong :premises (@p983 @p2498)) % 1.11/1.39 (step @p2502 :rule ho_cong :premises (@p2501 @p2497)) % 1.11/1.39 (step @p2503 :rule cong :premises (@p2502 @p2500) :args ((= (_ (_ tptp.in @t2579) @t692) @t2580))) % 1.11/1.39 (step @p2504 :rule symm :premises (@p2503)) % 1.11/1.39 (step @p2505 :rule refl :args (@t755)) % 1.11/1.39 (step @p2506 :rule eq_resolve :premises (@p2505 @p2504)) % 1.11/1.39 (step @p2507 :rule refl :args (@t754)) % 1.11/1.39 (step @p2508 :rule cong :premises (@p2507 @p2498) :args ((= @t754 @t2579))) % 1.11/1.39 (step @p2509 :rule symm :premises (@p2508)) % 1.11/1.39 (step @p2510 :rule eq_resolve :premises (@p2507 @p2509)) % 1.11/1.39 (step @p2511 :rule ho_cong :premises (@p983 @p2510)) % 1.11/1.39 (step @p2512 :rule ho_cong :premises (@p2511 @p2497)) % 1.11/1.39 (step @p2513 :rule trans :premises (@p2512 @p2506)) % 1.11/1.39 (step @p2514 :rule refl :args (@t2593)) % 1.11/1.39 (step @p2515 :rule nary_cong :premises (@p2514 @p2513) :args (@t2594)) % 1.11/1.39 (step @p2516 :rule cong :premises (@p2515) :args ((forall @t696 @t2594))) % 1.11/1.39 (step @p2517 :rule trans :premises (@p2516 @p2495)) % 1.11/1.39 (step @p2518 :rule bool-double-not-elim :args (@t2593)) % 1.11/1.39 (step @p2519 :rule nary_cong :premises (@p2518 @p2505) :args ((or (not @t2595) @t755))) % 1.11/1.39 (step @p2520 :rule bool-impl-elim :args (@t2595 @t755)) % 1.11/1.39 (step @p2521 :rule trans :premises (@p2520 @p2519)) % 1.11/1.39 (step @p2522 :rule cong :premises (@p2521) :args ((forall @t696 (=> @t2595 @t755)))) % 1.11/1.39 (step @p2523 :rule trans :premises (@p2522 @p2517)) % 1.11/1.39 (step @p2524 :rule refl :args (@t755)) % 1.11/1.39 (step @p2525 :rule beta-reduce :args ((= @t2596 @t2595))) % 1.11/1.39 (step @p2526 :rule cong :premises (@p2525 @p2524) :args (@t2597)) % 1.11/1.39 (step @p2527 :rule cong :premises (@p2526) :args (@t2598)) % 1.11/1.39 (step @p2528 :rule trans :premises (@p2527 @p2523)) % 1.11/1.39 (step @p2529 :rule refl :args (tptp.theprop)) % 1.11/1.39 (step @p2530 :rule cong :premises (@p2529 @p2528) :args ((= tptp.theprop @t2598))) % 1.11/1.39 (step @p2531 :rule refl :args (@t692)) % 1.11/1.39 (step @p2532 :rule ho_cong :premises (@p870 @p2531)) % 1.11/1.39 (step @p2533 :rule cong :premises (@p2532 @p2524) :args (@t756)) % 1.11/1.39 (step @p2534 :rule cong :premises (@p2533) :args (@t757)) % 1.11/1.39 (step @p2535 :rule cong :premises (@p2529 @p2534) :args (@t758)) % 1.11/1.39 (step @p2536 :rule trans :premises (@p2535 @p2530)) % 1.11/1.39 (step @p2537 :rule eq_resolve :premises (@p161 @p2536)) % 1.11/1.39 (step @p2538 :rule cong :premises (@p2537 @p2463) :args (@t2599)) % 1.11/1.39 (step @p2539 :rule refl :args (@t1362)) % 1.11/1.39 (step @p2540 :rule nary_cong :premises (@p2085 @p2539) :args (@t2600)) % 1.11/1.39 (step @p2541 :rule cong :premises (@p2540) :args ((forall @t751 @t2600))) % 1.11/1.39 (step @p2542 :rule bool-impl-elim :args (@t689 @t1362)) % 1.11/1.39 (step @p2543 :rule cong :premises (@p2542) :args ((forall @t751 (=> @t689 @t1362)))) % 1.11/1.39 (step @p2544 :rule trans :premises (@p2543 @p2541)) % 1.11/1.39 (step @p2545 :rule refl :args ((tptp.dsetconstr @t747 @t2603))) % 1.11/1.39 (step @p2546 :rule refl :args ((tptp.in @t2601 @t381))) % 1.11/1.39 (step @p2547 :rule refl :args (@t1357)) % 1.11/1.39 (step @p2548 :rule cong :premises (@p2547 @p1888) :args (@t1358)) % 1.11/1.39 (step @p2549 :rule trans :premises (@p2548 @p2546)) % 1.11/1.39 (step @p2550 :rule cong :premises (@p2549) :args (@t1360)) % 1.11/1.39 (step @p2551 :rule cong :premises (@p2119 @p2550) :args (@t1361)) % 1.11/1.39 (step @p2552 :rule trans :premises (@p2551 @p2545)) % 1.11/1.39 (step @p2553 :rule ho_cong :premises (@p2123 @p2550)) % 1.11/1.39 (step @p2554 :rule cong :premises (@p2553 @p2552) :args ((= (_ @t2504 @t1360) @t1361))) % 1.11/1.39 (step @p2555 :rule symm :premises (@p2554)) % 1.11/1.39 (step @p2556 :rule refl :args (@t2604)) % 1.11/1.39 (step @p2557 :rule eq_resolve :premises (@p2556 @p2555)) % 1.11/1.39 (step @p2558 :rule ho_cong :premises (@p983 @p2547)) % 1.11/1.39 (step @p2559 :rule ho_cong :premises (@p2558 @p1888)) % 1.11/1.39 (step @p2560 :rule cong :premises (@p2559 @p2549) :args ((= (_ (_ tptp.in @t1357) @t381) @t1358))) % 1.11/1.39 (step @p2561 :rule symm :premises (@p2560)) % 1.11/1.39 (step @p2562 :rule refl :args (@t2602)) % 1.11/1.39 (step @p2563 :rule eq_resolve :premises (@p2562 @p2561)) % 1.11/1.39 (step @p2564 :rule refl :args (@t2601)) % 1.11/1.39 (step @p2565 :rule cong :premises (@p2564 @p2547) :args ((= @t2601 @t1357))) % 1.11/1.39 (step @p2566 :rule symm :premises (@p2565)) % 1.11/1.39 (step @p2567 :rule eq_resolve :premises (@p2564 @p2566)) % 1.11/1.39 (step @p2568 :rule ho_cong :premises (@p983 @p2567)) % 1.11/1.39 (step @p2569 :rule ho_cong :premises (@p2568 @p1888)) % 1.11/1.39 (step @p2570 :rule trans :premises (@p2569 @p2563)) % 1.11/1.39 (step @p2571 :rule cong :premises (@p2570) :args (@t2603)) % 1.11/1.39 (step @p2572 :rule ho_cong :premises (@p2142 @p2571)) % 1.11/1.39 (step @p2573 :rule trans :premises (@p2572 @p2557)) % 1.11/1.39 (step @p2574 :rule cong :premises (@p771 @p2573) :args (@t2605)) % 1.11/1.39 (step @p2575 :rule cong :premises (@p2574) :args (@t2606)) % 1.11/1.39 (step @p2576 :rule cong :premises (@p774 @p2573) :args (@t2607)) % 1.11/1.39 (step @p2577 :rule cong :premises (@p2576) :args (@t2608)) % 1.11/1.39 (step @p2578 :rule nary_cong :premises (@p2577 @p2575) :args (@t2609)) % 1.11/1.39 (step @p2579 :rule cong :premises (@p2578) :args ((forall @t9 @t2609))) % 1.11/1.39 (step @p2580 :rule alpha_equiv :args (@t746 @t2061 (@list @t1356))) % 1.11/1.39 (step @p2581 :rule ho_cong :premises (@p2152 @p2580)) % 1.11/1.39 (step @p2582 :rule cong :premises (@p771 @p2581) :args (@t2610)) % 1.11/1.39 (step @p2583 :rule cong :premises (@p2582) :args (@t2611)) % 1.11/1.39 (step @p2584 :rule cong :premises (@p774 @p2581) :args (@t2612)) % 1.11/1.39 (step @p2585 :rule cong :premises (@p2584) :args (@t2613)) % 1.11/1.39 (step @p2586 :rule nary_cong :premises (@p2585 @p2583) :args (@t2614)) % 1.11/1.39 (step @p2587 :rule cong :premises (@p2586) :args ((forall @t9 @t2614))) % 1.11/1.39 (step @p2588 :rule trans :premises (@p2587 @p2579)) % 1.11/1.39 (step @p2589 :rule eq-symm :args (@t749 @t1315)) % 1.11/1.39 (step @p2590 :rule cong :premises (@p2589) :args (@t2615)) % 1.11/1.39 (step @p2591 :rule refl :args (@t2613)) % 1.11/1.39 (step @p2592 :rule nary_cong :premises (@p2591 @p2590) :args (@t2616)) % 1.11/1.39 (step @p2593 :rule cong :premises (@p2592) :args (@t2617)) % 1.11/1.39 (step @p2594 :rule trans :premises (@p2593 @p2588)) % 1.11/1.39 (step @p2595 :rule cong :premises (@p2594) :args (@t2618)) % 1.11/1.39 (step @p2596 :rule beta-reduce :args ((= @t2619 @t2618))) % 1.11/1.39 (step @p2597 :rule trans :premises (@p2596 @p2595)) % 1.11/1.39 (step @p2598 :rule cong :premises (@p2091 @p2597) :args (@t2620)) % 1.11/1.39 (step @p2599 :rule cong :premises (@p2598) :args (@t2621)) % 1.11/1.39 (step @p2600 :rule trans :premises (@p2599 @p2544)) % 1.11/1.39 (step @p2601 :rule refl :args (tptp.kfstsingleton)) % 1.11/1.39 (step @p2602 :rule cong :premises (@p2601 @p2600) :args ((= tptp.kfstsingleton @t2621))) % 1.11/1.39 (step @p2603 :rule refl :args (@t749)) % 1.11/1.39 (step @p2604 :rule ho_cong :premises (@p870 @p2603)) % 1.11/1.39 (step @p2605 :rule cong :premises (@p2091 @p2604) :args (@t750)) % 1.11/1.39 (step @p2606 :rule cong :premises (@p2605) :args (@t752)) % 1.11/1.39 (step @p2607 :rule cong :premises (@p2601 @p2606) :args (@t753)) % 1.11/1.39 (step @p2608 :rule trans :premises (@p2607 @p2602)) % 1.11/1.39 (step @p2609 :rule eq_resolve :premises (@p160 @p2608)) % 1.11/1.39 (step @p2610 :rule cong :premises (@p2609 @p2538) :args (@t2622)) % 1.11/1.39 (step @p2611 :rule refl :args ((tptp.in @t742 @t618))) % 1.11/1.39 (step @p2612 :rule cong :premises (@p2209 @p2256) :args (@t1364)) % 1.11/1.39 (step @p2613 :rule trans :premises (@p2612 @p2611)) % 1.11/1.39 (step @p2614 :rule ho_cong :premises (@p983 @p2209)) % 1.11/1.39 (step @p2615 :rule ho_cong :premises (@p2614 @p2256)) % 1.11/1.39 (step @p2616 :rule cong :premises (@p2615 @p2613) :args ((= (_ (_ tptp.in @t1324) @t1329) @t1364))) % 1.11/1.39 (step @p2617 :rule symm :premises (@p2616)) % 1.11/1.39 (step @p2618 :rule refl :args (@t743)) % 1.11/1.39 (step @p2619 :rule eq_resolve :premises (@p2618 @p2617)) % 1.11/1.39 (step @p2620 :rule ho_cong :premises (@p983 @p2243)) % 1.11/1.39 (step @p2621 :rule ho_cong :premises (@p2620 @p2286)) % 1.11/1.39 (step @p2622 :rule trans :premises (@p2621 @p2619)) % 1.11/1.39 (step @p2623 :rule cong :premises (@p2622) :args (@t2623)) % 1.11/1.39 (step @p2624 :rule nary_cong :premises (@p2623 @p2417) :args (@t2624)) % 1.11/1.39 (step @p2625 :rule cong :premises (@p2624) :args ((forall @t295 @t2624))) % 1.11/1.39 (step @p2626 :rule bool-impl-elim :args (@t743 @t740)) % 1.11/1.39 (step @p2627 :rule cong :premises (@p2626) :args (@t744)) % 1.11/1.39 (step @p2628 :rule trans :premises (@p2627 @p2625)) % 1.11/1.39 (step @p2629 :rule refl :args (tptp.setukpairinjL1)) % 1.11/1.39 (step @p2630 :rule cong :premises (@p2629 @p2628) :args (@t745)) % 1.11/1.39 (step @p2631 :rule eq_resolve :premises (@p159 @p2630)) % 1.11/1.39 (step @p2632 :rule cong :premises (@p2631 @p2610) :args (@t2625)) % 1.11/1.39 (step @p2633 :rule eq-symm :args (@t1326 @t1315)) % 1.11/1.39 (step @p2634 :rule cong :premises (@p2633) :args (@t2626)) % 1.11/1.39 (step @p2635 :rule nary_cong :premises (@p2634 @p2409) :args (@t2627)) % 1.11/1.39 (step @p2636 :rule cong :premises (@p2635) :args ((forall @t135 @t2627))) % 1.11/1.39 (step @p2637 :rule cong :premises (@p2278 @p858) :args (@t2628)) % 1.11/1.39 (step @p2638 :rule cong :premises (@p2637) :args (@t2629)) % 1.11/1.39 (step @p2639 :rule nary_cong :premises (@p2638 @p711) :args (@t2630)) % 1.11/1.39 (step @p2640 :rule cong :premises (@p2639) :args ((forall @t135 @t2630))) % 1.11/1.39 (step @p2641 :rule trans :premises (@p2640 @p2636)) % 1.11/1.39 (step @p2642 :rule bool-impl-elim :args (@t2628 @t129)) % 1.11/1.39 (step @p2643 :rule cong :premises (@p2642) :args ((forall @t135 (=> @t2628 @t129)))) % 1.11/1.39 (step @p2644 :rule trans :premises (@p2643 @p2641)) % 1.11/1.39 (step @p2645 :rule eq-symm :args (@t279 @t275)) % 1.11/1.39 (step @p2646 :rule cong :premises (@p2645 @p2409) :args (@t737)) % 1.11/1.39 (step @p2647 :rule cong :premises (@p2646) :args (@t738)) % 1.11/1.39 (step @p2648 :rule trans :premises (@p2647 @p2644)) % 1.11/1.39 (step @p2649 :rule refl :args (tptp.singletonsuniq)) % 1.11/1.39 (step @p2650 :rule cong :premises (@p2649 @p2648) :args (@t739)) % 1.11/1.39 (step @p2651 :rule eq_resolve :premises (@p158 @p2650)) % 1.11/1.39 (step @p2652 :rule cong :premises (@p2651 @p2632) :args (@t2631)) % 1.11/1.39 (step @p2653 :rule aci_norm :args ((= @t2633 @t1384))) % 1.11/1.39 (step @p2654 :rule cong :premises (@p2653) :args (@t2634)) % 1.11/1.39 (step @p2655 :rule quant-merge-prenex :args ((= (forall @t309 @t2636) @t2634))) % 1.11/1.39 (step @p2656 :rule refl :args (@t1373)) % 1.11/1.39 (step @p2657 :rule alpha_equiv :args (@t2637 (@list @t1367) @t2061)) % 1.11/1.39 (step @p2658 :rule refl :args (@t1383)) % 1.11/1.39 (step @p2659 :rule nary_cong :premises (@p2658 @p2657 @p2656) :args (@t2638)) % 1.11/1.39 (step @p2660 :rule quant-miniscope-or :args ((= @t2636 @t2638))) % 1.11/1.39 (step @p2661 :rule trans :premises (@p2660 @p2659)) % 1.11/1.39 (step @p2662 :rule symm :premises (@p2661)) % 1.11/1.39 (step @p2663 :rule cong :premises (@p2662) :args ((forall @t309 @t2639))) % 1.11/1.39 (step @p2664 :rule trans :premises (@p2663 @p2655)) % 1.11/1.39 (step @p2665 :rule trans :premises (@p2664 @p2654)) % 1.11/1.39 (step @p2666 :rule aci_norm :args ((= (or @t1383 (or @t1402 @t1373)) @t2639))) % 1.11/1.39 (step @p2667 :rule bool-double-not-elim :args (@t1402)) % 1.11/1.39 (step @p2668 :rule nary_cong :premises (@p2667 @p2656) :args ((or @t2640 @t1373))) % 1.11/1.39 (step @p2669 :rule bool-impl-elim :args (@t1403 @t1373)) % 1.11/1.39 (step @p2670 :rule trans :premises (@p2669 @p2668)) % 1.11/1.39 (step @p2671 :rule nary_cong :premises (@p2658 @p2670) :args ((or @t1383 @t2641))) % 1.11/1.39 (step @p2672 :rule trans :premises (@p2671 @p2666)) % 1.11/1.39 (step @p2673 :rule bool-impl-elim :args (@t1382 @t2641)) % 1.11/1.39 (step @p2674 :rule trans :premises (@p2673 @p2672)) % 1.11/1.39 (step @p2675 :rule cong :premises (@p2674) :args ((forall @t309 (=> @t1382 @t2641)))) % 1.11/1.39 (step @p2676 :rule trans :premises (@p2675 @p2665)) % 1.11/1.39 (step @p2677 :rule nary_cong :premises (@p702 @p696) :args (@t2642)) % 1.11/1.39 (step @p2678 :rule cong :premises (@p2677) :args ((forall @t9 @t2642))) % 1.11/1.39 (step @p2679 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.11/1.39 (step @p2680 :rule cong :premises (@p2679) :args (@t2643)) % 1.11/1.39 (step @p2681 :rule trans :premises (@p2680 @p2678)) % 1.11/1.39 (step @p2682 :rule cong :premises (@p2681) :args (@t2644)) % 1.11/1.39 (step @p2683 :rule exists-elim :args ((= @t307 @t2644))) % 1.11/1.39 (step @p2684 :rule trans :premises (@p2683 @p2682)) % 1.11/1.39 (step @p2685 :rule cong :premises (@p2684 @p795) :args (@t2645)) % 1.11/1.39 (step @p2686 :rule cong :premises (@p751 @p2685) :args (@t2646)) % 1.11/1.39 (step @p2687 :rule cong :premises (@p2686) :args (@t2647)) % 1.11/1.39 (step @p2688 :rule trans :premises (@p2687 @p2676)) % 1.11/1.39 (step @p2689 :rule refl :args (tptp.ex1I2)) % 1.11/1.39 (step @p2690 :rule cong :premises (@p2689 @p2688) :args ((= tptp.ex1I2 @t2647))) % 1.11/1.39 (step @p2691 :rule refl :args (@t307)) % 1.11/1.39 (step @p2692 :rule cong :premises (@p2691 @p876) :args (@t733)) % 1.11/1.39 (step @p2693 :rule cong :premises (@p801 @p2692) :args (@t734)) % 1.11/1.39 (step @p2694 :rule cong :premises (@p2693) :args (@t735)) % 1.11/1.39 (step @p2695 :rule cong :premises (@p2689 @p2694) :args (@t736)) % 1.11/1.39 (step @p2696 :rule trans :premises (@p2695 @p2690)) % 1.11/1.39 (step @p2697 :rule eq_resolve :premises (@p157 @p2696)) % 1.11/1.39 (step @p2698 :rule cong :premises (@p2697 @p2652) :args (@t2648)) % 1.11/1.39 (step @p2699 :rule refl :args (@t1391)) % 1.11/1.39 (step @p2700 :rule refl :args (@t1397)) % 1.11/1.39 (step @p2701 :rule nary_cong :premises (@p702 @p696 @p2700 @p2699) :args (@t2649)) % 1.11/1.39 (step @p2702 :rule cong :premises (@p2701) :args ((forall @t159 @t2649))) % 1.11/1.39 (step @p2703 :rule aci_norm :args ((= (or @t197 @t2650) @t2649))) % 1.11/1.39 (step @p2704 :rule aci_norm :args ((= (or @t315 (or @t1397 @t1391)) @t2650))) % 1.11/1.39 (step @p2705 :rule bool-impl-elim :args (@t1396 @t1391)) % 1.11/1.39 (step @p2706 :rule nary_cong :premises (@p736 @p2705) :args ((or @t315 @t2651))) % 1.11/1.39 (step @p2707 :rule trans :premises (@p2706 @p2704)) % 1.11/1.39 (step @p2708 :rule bool-impl-elim :args (@t144 @t2651)) % 1.11/1.39 (step @p2709 :rule trans :premises (@p2708 @p2707)) % 1.11/1.39 (step @p2710 :rule refl :args (@t197)) % 1.11/1.39 (step @p2711 :rule nary_cong :premises (@p2710 @p2709) :args ((or @t197 @t2652))) % 1.11/1.39 (step @p2712 :rule trans :premises (@p2711 @p2703)) % 1.11/1.39 (step @p2713 :rule bool-impl-elim :args (@t7 @t2652)) % 1.11/1.39 (step @p2714 :rule trans :premises (@p2713 @p2712)) % 1.11/1.39 (step @p2715 :rule cong :premises (@p2714) :args ((forall @t159 (=> @t7 @t2652)))) % 1.11/1.39 (step @p2716 :rule trans :premises (@p2715 @p2702)) % 1.11/1.39 (step @p2717 :rule eq-symm :args (@t1388 @t1195)) % 1.11/1.39 (step @p2718 :rule cong :premises (@p2717) :args (@t2653)) % 1.11/1.39 (step @p2719 :rule refl :args (@t1389)) % 1.11/1.39 (step @p2720 :rule nary_cong :premises (@p2719 @p2718) :args (@t2654)) % 1.11/1.39 (step @p2721 :rule cong :premises (@p2720) :args (@t2655)) % 1.11/1.39 (step @p2722 :rule cong :premises (@p2721) :args (@t2656)) % 1.11/1.39 (step @p2723 :rule refl :args (@t1396)) % 1.11/1.39 (step @p2724 :rule cong :premises (@p2723 @p2722) :args (@t2657)) % 1.11/1.39 (step @p2725 :rule refl :args (@t144)) % 1.11/1.39 (step @p2726 :rule cong :premises (@p2725 @p2724) :args (@t2658)) % 1.11/1.39 (step @p2727 :rule cong :premises (@p748 @p2726) :args (@t2659)) % 1.11/1.39 (step @p2728 :rule cong :premises (@p2727) :args ((forall @t159 @t2659))) % 1.11/1.39 (step @p2729 :rule trans :premises (@p2728 @p2716)) % 1.11/1.39 (step @p2730 :rule alpha_equiv :args (@t1372 @t2061 (@list @t1387))) % 1.11/1.39 (step @p2731 :rule cong :premises (@p2730) :args (@t1373)) % 1.11/1.39 (step @p2732 :rule cong :premises (@p690 @p2731) :args (@t2660)) % 1.11/1.39 (step @p2733 :rule cong :premises (@p692 @p2732) :args (@t2661)) % 1.11/1.39 (step @p2734 :rule cong :premises (@p698 @p2733) :args (@t2662)) % 1.11/1.39 (step @p2735 :rule cong :premises (@p2734) :args ((forall @t159 @t2662))) % 1.11/1.39 (step @p2736 :rule trans :premises (@p2735 @p2729)) % 1.11/1.39 (step @p2737 :rule lambda-elim :args ((= @t2663 @t143))) % 1.11/1.39 (step @p2738 :rule cong :premises (@p753 @p2737) :args (@t2664)) % 1.11/1.39 (step @p2739 :rule cong :premises (@p755 @p2738) :args (@t2665)) % 1.11/1.39 (step @p2740 :rule cong :premises (@p2739) :args (@t2666)) % 1.11/1.39 (step @p2741 :rule cong :premises (@p758 @p2738) :args (@t2667)) % 1.11/1.39 (step @p2742 :rule cong :premises (@p2741) :args (@t2668)) % 1.11/1.39 (step @p2743 :rule nary_cong :premises (@p2742 @p2740) :args (@t2669)) % 1.11/1.39 (step @p2744 :rule cong :premises (@p2743) :args ((forall @t9 @t2669))) % 1.11/1.39 (step @p2745 :rule cong :premises (@p716) :args (@t154)) % 1.11/1.39 (step @p2746 :rule cong :premises (@p769 @p2745) :args (@t2670)) % 1.11/1.39 (step @p2747 :rule cong :premises (@p771 @p2746) :args (@t2671)) % 1.11/1.39 (step @p2748 :rule cong :premises (@p2747) :args (@t2672)) % 1.11/1.39 (step @p2749 :rule cong :premises (@p774 @p2746) :args (@t2673)) % 1.11/1.39 (step @p2750 :rule cong :premises (@p2749) :args (@t2674)) % 1.11/1.39 (step @p2751 :rule nary_cong :premises (@p2750 @p2748) :args (@t2675)) % 1.11/1.39 (step @p2752 :rule cong :premises (@p2751) :args (@t2676)) % 1.11/1.39 (step @p2753 :rule trans :premises (@p2752 @p2744)) % 1.11/1.39 (step @p2754 :rule cong :premises (@p2753) :args (@t2677)) % 1.11/1.39 (step @p2755 :rule beta-reduce :args ((= (_ @t2109 @t154) @t2677))) % 1.11/1.39 (step @p2756 :rule trans :premises (@p2755 @p2754)) % 1.11/1.39 (step @p2757 :rule refl :args (@t154)) % 1.11/1.39 (step @p2758 :rule ho_cong :premises (@p793 @p2757)) % 1.11/1.39 (step @p2759 :rule trans :premises (@p2758 @p2756)) % 1.11/1.39 (step @p2760 :rule aci_norm :args ((= (or @t2075 @t2082) @t2076))) % 1.11/1.39 (step @p2761 :rule nary_cong :premises (@p741 @p735) :args ((or @t2075 @t166))) % 1.11/1.39 (step @p2762 :rule trans :premises (@p2761 @p2760)) % 1.11/1.39 (step @p2763 :rule bool-impl-elim :args (@t21 @t166)) % 1.11/1.39 (step @p2764 :rule trans :premises (@p2763 @p2762)) % 1.11/1.39 (step @p2765 :rule cong :premises (@p2764) :args ((forall @t70 (=> @t21 @t166)))) % 1.11/1.39 (step @p2766 :rule trans :premises (@p2765 @p725)) % 1.11/1.39 (step @p2767 :rule eq-symm :args (@t19 @t4)) % 1.11/1.39 (step @p2768 :rule refl :args (@t153)) % 1.11/1.39 (step @p2769 :rule cong :premises (@p2768 @p2767) :args (@t725)) % 1.11/1.39 (step @p2770 :rule refl :args (@t21)) % 1.11/1.39 (step @p2771 :rule cong :premises (@p2770 @p2769) :args (@t726)) % 1.11/1.39 (step @p2772 :rule cong :premises (@p2771) :args (@t727)) % 1.11/1.39 (step @p2773 :rule trans :premises (@p2772 @p2766)) % 1.11/1.39 (step @p2774 :rule cong :premises (@p2773 @p2759) :args (@t2678)) % 1.11/1.39 (step @p2775 :rule cong :premises (@p2725 @p2774) :args (@t2679)) % 1.11/1.39 (step @p2776 :rule cong :premises (@p748 @p2775) :args (@t2680)) % 1.11/1.39 (step @p2777 :rule cong :premises (@p2776) :args (@t2681)) % 1.11/1.39 (step @p2778 :rule trans :premises (@p2777 @p2736)) % 1.11/1.39 (step @p2779 :rule refl :args (tptp.ex1I)) % 1.11/1.39 (step @p2780 :rule cong :premises (@p2779 @p2778) :args ((= tptp.ex1I @t2681))) % 1.11/1.39 (step @p2781 :rule ho_cong :premises (@p875 @p2757)) % 1.11/1.39 (step @p2782 :rule refl :args (@t727)) % 1.11/1.39 (step @p2783 :rule cong :premises (@p2782 @p2781) :args (@t728)) % 1.11/1.39 (step @p2784 :rule cong :premises (@p2725 @p2783) :args (@t729)) % 1.11/1.39 (step @p2785 :rule cong :premises (@p748 @p2784) :args (@t730)) % 1.11/1.39 (step @p2786 :rule cong :premises (@p2785) :args (@t731)) % 1.11/1.39 (step @p2787 :rule cong :premises (@p2779 @p2786) :args (@t732)) % 1.11/1.39 (step @p2788 :rule trans :premises (@p2787 @p2780)) % 1.11/1.39 (step @p2789 :rule eq_resolve :premises (@p156 @p2788)) % 1.11/1.39 (step @p2790 :rule cong :premises (@p2789 @p2698) :args (@t2682)) % 1.11/1.39 (step @p2791 :rule eq-symm :args (@t1400 @t1195)) % 1.11/1.39 (step @p2792 :rule cong :premises (@p2791) :args (@t2683)) % 1.11/1.39 (step @p2793 :rule refl :args (@t1401)) % 1.11/1.39 (step @p2794 :rule refl :args (@t1403)) % 1.11/1.39 (step @p2795 :rule nary_cong :premises (@p2794 @p2793 @p2792) :args (@t2684)) % 1.11/1.39 (step @p2796 :rule aci_norm :args ((= @t2686 @t2684))) % 1.11/1.39 (step @p2797 :rule trans :premises (@p2796 @p2795)) % 1.11/1.39 (step @p2798 :rule cong :premises (@p2797) :args (@t2687)) % 1.11/1.39 (step @p2799 :rule quant-merge-prenex :args ((= (forall @t309 @t2689) @t2687))) % 1.11/1.39 (step @p2800 :rule refl :args (@t1403)) % 1.11/1.39 (step @p2801 :rule alpha_equiv :args (@t2690 (@list @t1399) @t2061)) % 1.11/1.39 (step @p2802 :rule nary_cong :premises (@p2801 @p2800) :args (@t2691)) % 1.11/1.39 (step @p2803 :rule quant-miniscope-or :args ((= @t2689 @t2691))) % 1.11/1.39 (step @p2804 :rule trans :premises (@p2803 @p2802)) % 1.11/1.39 (step @p2805 :rule symm :premises (@p2804)) % 1.11/1.39 (step @p2806 :rule cong :premises (@p2805) :args ((forall @t309 (or @t1372 @t1403)))) % 1.11/1.39 (step @p2807 :rule trans :premises (@p2806 @p2799)) % 1.11/1.39 (step @p2808 :rule trans :premises (@p2807 @p2798)) % 1.11/1.39 (step @p2809 :rule nary_cong :premises (@p671 @p2800) :args ((or @t2063 @t1403))) % 1.11/1.39 (step @p2810 :rule bool-impl-elim :args (@t1373 @t1403)) % 1.11/1.39 (step @p2811 :rule trans :premises (@p2810 @p2809)) % 1.11/1.39 (step @p2812 :rule cong :premises (@p2811) :args ((forall @t309 (=> @t1373 @t1403)))) % 1.11/1.39 (step @p2813 :rule trans :premises (@p2812 @p2808)) % 1.11/1.39 (step @p2814 :rule cong :premises (@p795 @p2684) :args (@t2692)) % 1.11/1.39 (step @p2815 :rule cong :premises (@p2814) :args (@t2693)) % 1.11/1.39 (step @p2816 :rule trans :premises (@p2815 @p2813)) % 1.11/1.39 (step @p2817 :rule refl :args (tptp.ex1E1)) % 1.11/1.39 (step @p2818 :rule cong :premises (@p2817 @p2816) :args ((= tptp.ex1E1 @t2693))) % 1.11/1.39 (step @p2819 :rule cong :premises (@p876 @p2691) :args (@t722)) % 1.11/1.39 (step @p2820 :rule cong :premises (@p2819) :args (@t723)) % 1.11/1.39 (step @p2821 :rule cong :premises (@p2817 @p2820) :args (@t724)) % 1.11/1.39 (step @p2822 :rule trans :premises (@p2821 @p2818)) % 1.11/1.39 (step @p2823 :rule eq_resolve :premises (@p155 @p2822)) % 1.11/1.39 (step @p2824 :rule cong :premises (@p2823 @p2790) :args (@t2694)) % 1.11/1.39 (step @p2825 :rule cong :premises (@p2684 @p852) :args (@t2695)) % 1.11/1.39 (step @p2826 :rule cong :premises (@p751 @p2825) :args (@t2696)) % 1.11/1.39 (step @p2827 :rule cong :premises (@p2826) :args (@t2697)) % 1.11/1.39 (step @p2828 :rule trans :premises (@p2827 @p2676)) % 1.11/1.39 (step @p2829 :rule refl :args (tptp.singletonprop)) % 1.11/1.39 (step @p2830 :rule cong :premises (@p2829 @p2828) :args ((= tptp.singletonprop @t2697))) % 1.11/1.39 (step @p2831 :rule cong :premises (@p2691 @p871) :args (@t713)) % 1.11/1.39 (step @p2832 :rule cong :premises (@p801 @p2831) :args (@t717)) % 1.11/1.39 (step @p2833 :rule cong :premises (@p2832) :args (@t718)) % 1.11/1.39 (step @p2834 :rule cong :premises (@p2829 @p2833) :args (@t719)) % 1.11/1.39 (step @p2835 :rule trans :premises (@p2834 @p2830)) % 1.11/1.39 (step @p2836 :rule eq_resolve :premises (@p154 @p2835)) % 1.11/1.39 (step @p2837 :rule cong :premises (@p2836 @p2824) :args (@t2698)) % 1.11/1.39 (step @p2838 :rule refl :args ((tptp.setunion @t279))) % 1.11/1.39 (step @p2839 :rule cong :premises (@p854) :args (@t1406)) % 1.11/1.39 (step @p2840 :rule trans :premises (@p2839 @p2838)) % 1.11/1.39 (step @p2841 :rule ho_cong :premises (@p1447 @p854)) % 1.11/1.39 (step @p2842 :rule cong :premises (@p2841 @p2840) :args ((= (_ tptp.setunion @t1315) @t1406))) % 1.11/1.39 (step @p2843 :rule symm :premises (@p2842)) % 1.11/1.39 (step @p2844 :rule refl :args (@t709)) % 1.11/1.39 (step @p2845 :rule eq_resolve :premises (@p2844 @p2843)) % 1.11/1.39 (step @p2846 :rule ho_cong :premises (@p1447 @p858)) % 1.11/1.39 (step @p2847 :rule trans :premises (@p2846 @p2845)) % 1.11/1.39 (step @p2848 :rule cong :premises (@p774 @p2847) :args (@t2699)) % 1.11/1.39 (step @p2849 :rule cong :premises (@p2848) :args ((forall @t9 @t2699))) % 1.11/1.39 (step @p2850 :rule eq-symm :args (@t709 @t4)) % 1.11/1.39 (step @p2851 :rule cong :premises (@p2850) :args (@t710)) % 1.11/1.39 (step @p2852 :rule trans :premises (@p2851 @p2849)) % 1.11/1.39 (step @p2853 :rule refl :args (tptp.setunionsingleton)) % 1.11/1.39 (step @p2854 :rule cong :premises (@p2853 @p2852) :args (@t711)) % 1.11/1.39 (step @p2855 :rule eq_resolve :premises (@p153 @p2854)) % 1.11/1.39 (step @p2856 :rule cong :premises (@p2855 @p2837) :args (@t2700)) % 1.11/1.39 (step @p2857 :rule refl :args ((tptp.subset @t2 @t702))) % 1.11/1.39 (step @p2858 :rule refl :args ((tptp.setunion @t701))) % 1.11/1.39 (step @p2859 :rule refl :args (@t1408)) % 1.11/1.39 (step @p2860 :rule cong :premises (@p2859) :args (@t1409)) % 1.11/1.39 (step @p2861 :rule trans :premises (@p2860 @p2858)) % 1.11/1.39 (step @p2862 :rule cong :premises (@p769 @p2861) :args (@t1410)) % 1.11/1.39 (step @p2863 :rule trans :premises (@p2862 @p2857)) % 1.11/1.39 (step @p2864 :rule refl :args (@t419)) % 1.11/1.39 (step @p2865 :rule ho_cong :premises (@p2864 @p2861)) % 1.11/1.39 (step @p2866 :rule cong :premises (@p2865 @p2863) :args ((= (_ @t419 @t1409) @t1410))) % 1.11/1.39 (step @p2867 :rule symm :premises (@p2866)) % 1.11/1.39 (step @p2868 :rule refl :args (@t706)) % 1.11/1.39 (step @p2869 :rule eq_resolve :premises (@p2868 @p2867)) % 1.11/1.39 (step @p2870 :rule ho_cong :premises (@p1447 @p2859)) % 1.11/1.39 (step @p2871 :rule cong :premises (@p2870 @p2861) :args ((= (_ tptp.setunion @t1408) @t1409))) % 1.11/1.39 (step @p2872 :rule symm :premises (@p2871)) % 1.11/1.39 (step @p2873 :rule refl :args (@t702)) % 1.11/1.39 (step @p2874 :rule eq_resolve :premises (@p2873 @p2872)) % 1.11/1.39 (step @p2875 :rule refl :args (@t701)) % 1.11/1.39 (step @p2876 :rule cong :premises (@p2875 @p2859) :args ((= @t701 @t1408))) % 1.11/1.39 (step @p2877 :rule symm :premises (@p2876)) % 1.11/1.39 (step @p2878 :rule eq_resolve :premises (@p2875 @p2877)) % 1.11/1.39 (step @p2879 :rule ho_cong :premises (@p1447 @p2878)) % 1.11/1.39 (step @p2880 :rule trans :premises (@p2879 @p2874)) % 1.11/1.39 (step @p2881 :rule ho_cong :premises (@p2864 @p2880)) % 1.11/1.39 (step @p2882 :rule trans :premises (@p2881 @p2869)) % 1.11/1.39 (step @p2883 :rule cong :premises (@p2882) :args (@t707)) % 1.11/1.39 (step @p2884 :rule refl :args (tptp.setunionsingleton2)) % 1.11/1.39 (step @p2885 :rule cong :premises (@p2884 @p2883) :args (@t708)) % 1.11/1.39 (step @p2886 :rule eq_resolve :premises (@p152 @p2885)) % 1.11/1.39 (step @p2887 :rule cong :premises (@p2886 @p2856) :args (@t2701)) % 1.11/1.39 (step @p2888 :rule refl :args ((tptp.subset @t702 @t2))) % 1.11/1.39 (step @p2889 :rule cong :premises (@p2861 @p769) :args (@t1412)) % 1.11/1.39 (step @p2890 :rule trans :premises (@p2889 @p2888)) % 1.11/1.39 (step @p2891 :rule ho_cong :premises (@p1166 @p2861)) % 1.11/1.39 (step @p2892 :rule ho_cong :premises (@p2891 @p769)) % 1.11/1.39 (step @p2893 :rule cong :premises (@p2892 @p2890) :args ((= (_ (_ tptp.subset @t1409) @t2) @t1412))) % 1.11/1.39 (step @p2894 :rule symm :premises (@p2893)) % 1.11/1.39 (step @p2895 :rule refl :args (@t703)) % 1.11/1.39 (step @p2896 :rule eq_resolve :premises (@p2895 @p2894)) % 1.11/1.39 (step @p2897 :rule ho_cong :premises (@p1166 @p2880)) % 1.11/1.39 (step @p2898 :rule ho_cong :premises (@p2897 @p769)) % 1.11/1.39 (step @p2899 :rule trans :premises (@p2898 @p2896)) % 1.11/1.39 (step @p2900 :rule cong :premises (@p2899) :args (@t704)) % 1.11/1.39 (step @p2901 :rule refl :args (tptp.setunionsingleton1)) % 1.11/1.39 (step @p2902 :rule cong :premises (@p2901 @p2900) :args (@t705)) % 1.11/1.39 (step @p2903 :rule eq_resolve :premises (@p151 @p2902)) % 1.11/1.39 (step @p2904 :rule cong :premises (@p2903 @p2887) :args (@t2702)) % 1.11/1.39 (step @p2905 :rule refl :args (@t1417)) % 1.11/1.39 (step @p2906 :rule refl :args ((tptp.in @t4 @t43))) % 1.11/1.39 (step @p2907 :rule refl :args (@t1418)) % 1.11/1.39 (step @p2908 :rule cong :premises (@p774 @p2907) :args (@t1419)) % 1.11/1.39 (step @p2909 :rule trans :premises (@p2908 @p2906)) % 1.11/1.39 (step @p2910 :rule refl :args (@t5)) % 1.11/1.39 (step @p2911 :rule ho_cong :premises (@p2910 @p2907)) % 1.11/1.39 (step @p2912 :rule cong :premises (@p2911 @p2909) :args ((= (_ @t5 @t1418) @t1419))) % 1.11/1.39 (step @p2913 :rule symm :premises (@p2912)) % 1.11/1.39 (step @p2914 :rule refl :args (@t44)) % 1.11/1.39 (step @p2915 :rule eq_resolve :premises (@p2914 @p2913)) % 1.11/1.39 (step @p2916 :rule refl :args (@t43)) % 1.11/1.39 (step @p2917 :rule cong :premises (@p2916 @p2907) :args ((= @t43 @t1418))) % 1.11/1.39 (step @p2918 :rule symm :premises (@p2917)) % 1.11/1.39 (step @p2919 :rule eq_resolve :premises (@p2916 @p2918)) % 1.11/1.39 (step @p2920 :rule ho_cong :premises (@p2910 @p2919)) % 1.11/1.39 (step @p2921 :rule trans :premises (@p2920 @p2915)) % 1.11/1.39 (step @p2922 :rule cong :premises (@p2921) :args (@t2703)) % 1.11/1.39 (step @p2923 :rule nary_cong :premises (@p2922 @p2905) :args (@t2704)) % 1.11/1.39 (step @p2924 :rule cong :premises (@p2923) :args ((forall @t46 @t2704))) % 1.11/1.39 (step @p2925 :rule bool-impl-elim :args (@t44 @t1417)) % 1.11/1.39 (step @p2926 :rule cong :premises (@p2925) :args ((forall @t46 (=> @t44 @t1417)))) % 1.11/1.39 (step @p2927 :rule trans :premises (@p2926 @p2924)) % 1.11/1.39 (step @p2928 :rule refl :args (@t1414)) % 1.11/1.39 (step @p2929 :rule refl :args (@t693)) % 1.11/1.39 (step @p2930 :rule cong :premises (@p2929 @p2928) :args ((= @t693 @t1414))) % 1.11/1.39 (step @p2931 :rule symm :premises (@p2930)) % 1.11/1.39 (step @p2932 :rule eq_resolve :premises (@p2929 @p2931)) % 1.11/1.39 (step @p2933 :rule cong :premises (@p2932) :args (@t2705)) % 1.11/1.39 (step @p2934 :rule refl :args (@t1416)) % 1.11/1.39 (step @p2935 :rule refl :args (@t694)) % 1.11/1.39 (step @p2936 :rule cong :premises (@p2935 @p2934) :args ((= @t694 @t1416))) % 1.11/1.39 (step @p2937 :rule symm :premises (@p2936)) % 1.11/1.39 (step @p2938 :rule eq_resolve :premises (@p2935 @p2937)) % 1.11/1.39 (step @p2939 :rule cong :premises (@p2938) :args (@t2706)) % 1.11/1.39 (step @p2940 :rule nary_cong :premises (@p2939 @p2933) :args (@t2707)) % 1.11/1.39 (step @p2941 :rule cong :premises (@p2940) :args ((forall @t696 @t2707))) % 1.11/1.39 (step @p2942 :rule bool-and-de-morgan :args (@t694 @t693 true)) % 1.11/1.39 (step @p2943 :rule cong :premises (@p2942) :args (@t2708)) % 1.11/1.39 (step @p2944 :rule trans :premises (@p2943 @p2941)) % 1.11/1.39 (step @p2945 :rule cong :premises (@p2944) :args (@t2709)) % 1.11/1.39 (step @p2946 :rule exists-elim :args ((= @t697 @t2709))) % 1.11/1.39 (step @p2947 :rule trans :premises (@p2946 @p2945)) % 1.11/1.39 (step @p2948 :rule refl :args (@t44)) % 1.11/1.39 (step @p2949 :rule cong :premises (@p2948 @p2947) :args (@t698)) % 1.11/1.39 (step @p2950 :rule cong :premises (@p2949) :args (@t699)) % 1.11/1.39 (step @p2951 :rule trans :premises (@p2950 @p2927)) % 1.11/1.39 (step @p2952 :rule refl :args (tptp.setunionE2)) % 1.11/1.39 (step @p2953 :rule cong :premises (@p2952 @p2951) :args (@t700)) % 1.11/1.39 (step @p2954 :rule eq_resolve :premises (@p150 @p2953)) % 1.11/1.39 (step @p2955 :rule cong :premises (@p2954 @p2904) :args (@t2710)) % 1.11/1.39 (step @p2956 :rule nary_cong :premises (@p1901 @p2084) :args (@t2711)) % 1.11/1.39 (step @p2957 :rule cong :premises (@p2956) :args ((forall @t686 @t2711))) % 1.11/1.39 (step @p2958 :rule bool-impl-elim :args (@t684 @t689)) % 1.11/1.39 (step @p2959 :rule cong :premises (@p2958) :args (@t690)) % 1.11/1.39 (step @p2960 :rule trans :premises (@p2959 @p2957)) % 1.11/1.39 (step @p2961 :rule refl :args (tptp.cartprodmempair)) % 1.11/1.39 (step @p2962 :rule cong :premises (@p2961 @p2960) :args (@t691)) % 1.11/1.39 (step @p2963 :rule eq_resolve :premises (@p149 @p2962)) % 1.11/1.39 (step @p2964 :rule cong :premises (@p2963 @p2955) :args (@t2712)) % 1.11/1.39 (step @p2965 :rule refl :args (@t1428)) % 1.11/1.39 (step @p2966 :rule nary_cong :premises (@p1901 @p2965) :args (@t2713)) % 1.11/1.39 (step @p2967 :rule cong :premises (@p2966) :args ((forall @t686 @t2713))) % 1.11/1.39 (step @p2968 :rule bool-impl-elim :args (@t684 @t1428)) % 1.11/1.39 (step @p2969 :rule cong :premises (@p2968) :args ((forall @t686 (=> @t684 @t1428)))) % 1.11/1.39 (step @p2970 :rule trans :premises (@p2969 @p2967)) % 1.11/1.39 (step @p2971 :rule aci_norm :args ((= @t2715 @t1426))) % 1.11/1.39 (step @p2972 :rule cong :premises (@p2971) :args (@t2716)) % 1.11/1.39 (step @p2973 :rule quant-merge-prenex :args ((= (forall @t9 @t2718) @t2716))) % 1.11/1.39 (step @p2974 :rule alpha_equiv :args (@t2719 (@list @t1423) @t2070)) % 1.11/1.39 (step @p2975 :rule nary_cong :premises (@p682 @p2974) :args (@t2720)) % 1.11/1.39 (step @p2976 :rule quant-miniscope-or :args ((= @t2718 @t2720))) % 1.11/1.39 (step @p2977 :rule trans :premises (@p2976 @p2975)) % 1.11/1.39 (step @p2978 :rule symm :premises (@p2977)) % 1.11/1.39 (step @p2979 :rule cong :premises (@p2978) :args ((forall @t9 (or @t1177 @t2721)))) % 1.11/1.39 (step @p2980 :rule trans :premises (@p2979 @p2973)) % 1.11/1.39 (step @p2981 :rule trans :premises (@p2980 @p2972)) % 1.11/1.39 (step @p2982 :rule refl :args (@t2721)) % 1.11/1.39 (step @p2983 :rule nary_cong :premises (@p702 @p2982) :args (@t2722)) % 1.11/1.39 (step @p2984 :rule cong :premises (@p2983) :args ((forall @t9 @t2722))) % 1.11/1.39 (step @p2985 :rule trans :premises (@p2984 @p2981)) % 1.11/1.39 (step @p2986 :rule bool-double-not-elim :args (@t2721)) % 1.11/1.39 (step @p2987 :rule nary_cong :premises (@p2710 @p2986) :args ((or @t197 (not @t2723)))) % 1.11/1.39 (step @p2988 :rule bool-and-de-morgan :args (@t7 @t2723 true)) % 1.11/1.39 (step @p2989 :rule trans :premises (@p2988 @p2987)) % 1.11/1.39 (step @p2990 :rule cong :premises (@p2989) :args (@t2725)) % 1.11/1.39 (step @p2991 :rule trans :premises (@p2990 @p2985)) % 1.11/1.39 (step @p2992 :rule cong :premises (@p2991) :args (@t2726)) % 1.11/1.39 (step @p2993 :rule exists-elim :args ((= (exists @t9 @t2724) @t2726))) % 1.11/1.39 (step @p2994 :rule trans :premises (@p2993 @p2992)) % 1.11/1.39 (step @p2995 :rule cong :premises (@p1888 @p977) :args (@t678)) % 1.11/1.39 (step @p2996 :rule cong :premises (@p2995) :args (@t2727)) % 1.11/1.39 (step @p2997 :rule nary_cong :premises (@p999 @p2996) :args (@t2728)) % 1.11/1.39 (step @p2998 :rule cong :premises (@p2997) :args ((forall @t70 @t2728))) % 1.11/1.39 (step @p2999 :rule bool-and-de-morgan :args (@t352 @t678 true)) % 1.11/1.39 (step @p3000 :rule cong :premises (@p2999) :args (@t2729)) % 1.11/1.39 (step @p3001 :rule trans :premises (@p3000 @p2998)) % 1.11/1.39 (step @p3002 :rule cong :premises (@p3001) :args (@t2730)) % 1.11/1.39 (step @p3003 :rule exists-elim :args ((= @t680 @t2730))) % 1.11/1.39 (step @p3004 :rule trans :premises (@p3003 @p3002)) % 1.11/1.39 (step @p3005 :rule nary_cong :premises (@p748 @p3004) :args (@t681)) % 1.11/1.39 (step @p3006 :rule cong :premises (@p3005) :args (@t682)) % 1.11/1.39 (step @p3007 :rule trans :premises (@p3006 @p2994)) % 1.11/1.39 (step @p3008 :rule cong :premises (@p1908 @p3007) :args (@t685)) % 1.11/1.39 (step @p3009 :rule cong :premises (@p3008) :args (@t687)) % 1.11/1.39 (step @p3010 :rule trans :premises (@p3009 @p2970)) % 1.11/1.39 (step @p3011 :rule refl :args (tptp.cartprodmempair1)) % 1.11/1.39 (step @p3012 :rule cong :premises (@p3011 @p3010) :args (@t688)) % 1.11/1.39 (step @p3013 :rule eq_resolve :premises (@p148 @p3012)) % 1.11/1.39 (step @p3014 :rule cong :premises (@p3013 @p2964) :args (@t2731)) % 1.11/1.39 (step @p3015 :rule aci_norm :args ((= @t2733 @t1433))) % 1.11/1.39 (step @p3016 :rule cong :premises (@p3015) :args (@t2734)) % 1.11/1.39 (step @p3017 :rule quant-merge-prenex :args ((= (forall @t245 @t2736) @t2734))) % 1.11/1.39 (step @p3018 :rule alpha_equiv :args (@t2737 (@list @t1430) @t2070)) % 1.11/1.39 (step @p3019 :rule nary_cong :premises (@p682 @p3018) :args (@t2738)) % 1.11/1.39 (step @p3020 :rule quant-miniscope-or :args ((= @t2736 @t2738))) % 1.11/1.39 (step @p3021 :rule trans :premises (@p3020 @p3019)) % 1.11/1.39 (step @p3022 :rule symm :premises (@p3021)) % 1.11/1.39 (step @p3023 :rule cong :premises (@p3022) :args ((forall @t245 (or @t1177 @t2739)))) % 1.11/1.39 (step @p3024 :rule trans :premises (@p3023 @p3017)) % 1.11/1.39 (step @p3025 :rule trans :premises (@p3024 @p3016)) % 1.11/1.39 (step @p3026 :rule refl :args (@t2739)) % 1.11/1.39 (step @p3027 :rule nary_cong :premises (@p702 @p3026) :args (@t2740)) % 1.11/1.39 (step @p3028 :rule cong :premises (@p3027) :args ((forall @t245 @t2740))) % 1.11/1.39 (step @p3029 :rule trans :premises (@p3028 @p3025)) % 1.11/1.39 (step @p3030 :rule bool-impl-elim :args (@t7 @t2739)) % 1.11/1.39 (step @p3031 :rule cong :premises (@p3030) :args ((forall @t245 (=> @t7 @t2739)))) % 1.11/1.39 (step @p3032 :rule trans :premises (@p3031 @p3029)) % 1.11/1.39 (step @p3033 :rule nary_cong :premises (@p999 @p2039) :args (@t2741)) % 1.11/1.39 (step @p3034 :rule cong :premises (@p3033) :args ((forall @t70 @t2741))) % 1.11/1.39 (step @p3035 :rule bool-impl-elim :args (@t352 @t673)) % 1.11/1.39 (step @p3036 :rule cong :premises (@p3035) :args (@t674)) % 1.11/1.39 (step @p3037 :rule trans :premises (@p3036 @p3034)) % 1.11/1.39 (step @p3038 :rule cong :premises (@p748 @p3037) :args (@t675)) % 1.11/1.39 (step @p3039 :rule cong :premises (@p3038) :args (@t676)) % 1.11/1.39 (step @p3040 :rule trans :premises (@p3039 @p3032)) % 1.11/1.39 (step @p3041 :rule refl :args (tptp.cartprodpairin)) % 1.11/1.39 (step @p3042 :rule cong :premises (@p3041 @p3040) :args (@t677)) % 1.11/1.39 (step @p3043 :rule eq_resolve :premises (@p147 @p3042)) % 1.11/1.39 (step @p3044 :rule cong :premises (@p3043 @p3014) :args (@t2742)) % 1.11/1.39 (step @p3045 :rule aci_norm :args ((= @t2744 @t1442))) % 1.11/1.39 (step @p3046 :rule cong :premises (@p3045) :args (@t2745)) % 1.11/1.39 (step @p3047 :rule quant-merge-prenex :args ((= (forall @t245 @t2747) @t2745))) % 1.11/1.39 (step @p3048 :rule alpha_equiv :args (@t2748 (@list @t1439) @t2070)) % 1.11/1.39 (step @p3049 :rule nary_cong :premises (@p682 @p3048) :args (@t2749)) % 1.11/1.39 (step @p3050 :rule quant-miniscope-or :args ((= @t2747 @t2749))) % 1.11/1.39 (step @p3051 :rule trans :premises (@p3050 @p3049)) % 1.11/1.39 (step @p3052 :rule symm :premises (@p3051)) % 1.11/1.39 (step @p3053 :rule cong :premises (@p3052) :args ((forall @t245 (or @t1177 @t2751)))) % 1.11/1.39 (step @p3054 :rule trans :premises (@p3053 @p3047)) % 1.11/1.39 (step @p3055 :rule trans :premises (@p3054 @p3046)) % 1.11/1.39 (step @p3056 :rule refl :args (@t2751)) % 1.11/1.39 (step @p3057 :rule nary_cong :premises (@p702 @p3056) :args (@t2752)) % 1.11/1.39 (step @p3058 :rule cong :premises (@p3057) :args ((forall @t245 @t2752))) % 1.11/1.39 (step @p3059 :rule trans :premises (@p3058 @p3055)) % 1.11/1.39 (step @p3060 :rule bool-impl-elim :args (@t7 @t2751)) % 1.11/1.39 (step @p3061 :rule cong :premises (@p3060) :args ((forall @t245 (=> @t7 @t2751)))) % 1.11/1.39 (step @p3062 :rule trans :premises (@p3061 @p3059)) % 1.11/1.39 (step @p3063 :rule refl :args ((tptp.in @t630 @t660))) % 1.11/1.39 (step @p3064 :rule refl :args ((tptp.powerset @t641))) % 1.11/1.39 (step @p3065 :rule refl :args ((tptp.powerset @t492))) % 1.11/1.39 (step @p3066 :rule refl :args (@t1436)) % 1.11/1.39 (step @p3067 :rule cong :premises (@p3066) :args (@t1437)) % 1.11/1.39 (step @p3068 :rule trans :premises (@p3067 @p3065)) % 1.11/1.39 (step @p3069 :rule cong :premises (@p3068) :args (@t1438)) % 1.11/1.39 (step @p3070 :rule trans :premises (@p3069 @p3064)) % 1.11/1.39 (step @p3071 :rule cong :premises (@p965 @p3070) :args (@t2750)) % 1.11/1.39 (step @p3072 :rule trans :premises (@p3071 @p3063)) % 1.11/1.39 (step @p3073 :rule ho_cong :premises (@p984 @p3070)) % 1.11/1.39 (step @p3074 :rule cong :premises (@p3073 @p3072) :args ((= (_ @t2195 @t1438) @t2750))) % 1.11/1.39 (step @p3075 :rule symm :premises (@p3074)) % 1.11/1.39 (step @p3076 :rule refl :args (@t667)) % 1.11/1.39 (step @p3077 :rule eq_resolve :premises (@p3076 @p3075)) % 1.11/1.39 (step @p3078 :rule refl :args (tptp.powerset)) % 1.11/1.39 (step @p3079 :rule ho_cong :premises (@p3078 @p3068)) % 1.11/1.39 (step @p3080 :rule cong :premises (@p3079 @p3070) :args ((= (_ tptp.powerset @t1437) @t1438))) % 1.11/1.39 (step @p3081 :rule symm :premises (@p3080)) % 1.11/1.39 (step @p3082 :rule refl :args (@t660)) % 1.11/1.39 (step @p3083 :rule eq_resolve :premises (@p3082 @p3081)) % 1.11/1.39 (step @p3084 :rule ho_cong :premises (@p3078 @p3066)) % 1.11/1.39 (step @p3085 :rule cong :premises (@p3084 @p3068) :args ((= (_ tptp.powerset @t1436) @t1437))) % 1.11/1.39 (step @p3086 :rule symm :premises (@p3085)) % 1.11/1.39 (step @p3087 :rule refl :args (@t641)) % 1.11/1.39 (step @p3088 :rule eq_resolve :premises (@p3087 @p3086)) % 1.11/1.39 (step @p3089 :rule refl :args (@t492)) % 1.11/1.39 (step @p3090 :rule cong :premises (@p3089 @p3066) :args ((= @t492 @t1436))) % 1.11/1.39 (step @p3091 :rule symm :premises (@p3090)) % 1.11/1.39 (step @p3092 :rule eq_resolve :premises (@p3089 @p3091)) % 1.11/1.39 (step @p3093 :rule ho_cong :premises (@p3078 @p3092)) % 1.11/1.39 (step @p3094 :rule trans :premises (@p3093 @p3088)) % 1.11/1.39 (step @p3095 :rule ho_cong :premises (@p3078 @p3094)) % 1.11/1.39 (step @p3096 :rule trans :premises (@p3095 @p3083)) % 1.11/1.39 (step @p3097 :rule ho_cong :premises (@p990 @p3096)) % 1.11/1.39 (step @p3098 :rule trans :premises (@p3097 @p3077)) % 1.11/1.39 (step @p3099 :rule nary_cong :premises (@p999 @p3098) :args (@t2753)) % 1.11/1.39 (step @p3100 :rule cong :premises (@p3099) :args ((forall @t70 @t2753))) % 1.11/1.39 (step @p3101 :rule bool-impl-elim :args (@t352 @t667)) % 1.11/1.39 (step @p3102 :rule cong :premises (@p3101) :args (@t668)) % 1.11/1.39 (step @p3103 :rule trans :premises (@p3102 @p3100)) % 1.11/1.39 (step @p3104 :rule cong :premises (@p748 @p3103) :args (@t669)) % 1.11/1.39 (step @p3105 :rule cong :premises (@p3104) :args (@t670)) % 1.11/1.39 (step @p3106 :rule trans :premises (@p3105 @p3062)) % 1.11/1.39 (step @p3107 :rule refl :args (tptp.ubforcartprodlem3)) % 1.11/1.39 (step @p3108 :rule cong :premises (@p3107 @p3106) :args (@t671)) % 1.11/1.39 (step @p3109 :rule eq_resolve :premises (@p146 @p3108)) % 1.11/1.39 (step @p3110 :rule cong :premises (@p3109 @p3044) :args (@t2754)) % 1.11/1.39 (step @p3111 :rule aci_norm :args ((= @t2756 @t1448))) % 1.11/1.39 (step @p3112 :rule cong :premises (@p3111) :args (@t2757)) % 1.11/1.39 (step @p3113 :rule quant-merge-prenex :args ((= (forall @t245 @t2759) @t2757))) % 1.11/1.39 (step @p3114 :rule alpha_equiv :args (@t2760 (@list @t1445) @t2070)) % 1.11/1.39 (step @p3115 :rule nary_cong :premises (@p682 @p3114) :args (@t2761)) % 1.11/1.39 (step @p3116 :rule quant-miniscope-or :args ((= @t2759 @t2761))) % 1.11/1.39 (step @p3117 :rule trans :premises (@p3116 @p3115)) % 1.11/1.39 (step @p3118 :rule symm :premises (@p3117)) % 1.11/1.39 (step @p3119 :rule cong :premises (@p3118) :args ((forall @t245 (or @t1177 @t2763)))) % 1.11/1.39 (step @p3120 :rule trans :premises (@p3119 @p3113)) % 1.11/1.39 (step @p3121 :rule trans :premises (@p3120 @p3112)) % 1.11/1.39 (step @p3122 :rule refl :args (@t2763)) % 1.11/1.39 (step @p3123 :rule nary_cong :premises (@p702 @p3122) :args (@t2764)) % 1.11/1.39 (step @p3124 :rule cong :premises (@p3123) :args ((forall @t245 @t2764))) % 1.11/1.39 (step @p3125 :rule trans :premises (@p3124 @p3121)) % 1.11/1.39 (step @p3126 :rule bool-impl-elim :args (@t7 @t2763)) % 1.11/1.39 (step @p3127 :rule cong :premises (@p3126) :args ((forall @t245 (=> @t7 @t2763)))) % 1.11/1.39 (step @p3128 :rule trans :premises (@p3127 @p3125)) % 1.11/1.39 (step @p3129 :rule refl :args ((tptp.in @t618 @t660))) % 1.11/1.39 (step @p3130 :rule cong :premises (@p2256 @p3070) :args (@t2762)) % 1.11/1.39 (step @p3131 :rule trans :premises (@p3130 @p3129)) % 1.11/1.39 (step @p3132 :rule ho_cong :premises (@p983 @p2256)) % 1.11/1.39 (step @p3133 :rule ho_cong :premises (@p3132 @p3070)) % 1.11/1.39 (step @p3134 :rule cong :premises (@p3133 @p3131) :args ((= (_ (_ tptp.in @t1329) @t1438) @t2762))) % 1.11/1.39 (step @p3135 :rule symm :premises (@p3134)) % 1.11/1.39 (step @p3136 :rule refl :args (@t661)) % 1.11/1.39 (step @p3137 :rule eq_resolve :premises (@p3136 @p3135)) % 1.11/1.39 (step @p3138 :rule ho_cong :premises (@p983 @p2286)) % 1.11/1.39 (step @p3139 :rule ho_cong :premises (@p3138 @p3096)) % 1.11/1.39 (step @p3140 :rule trans :premises (@p3139 @p3137)) % 1.11/1.39 (step @p3141 :rule nary_cong :premises (@p999 @p3140) :args (@t2765)) % 1.11/1.39 (step @p3142 :rule cong :premises (@p3141) :args ((forall @t70 @t2765))) % 1.11/1.39 (step @p3143 :rule bool-impl-elim :args (@t352 @t661)) % 1.11/1.39 (step @p3144 :rule cong :premises (@p3143) :args (@t662)) % 1.11/1.39 (step @p3145 :rule trans :premises (@p3144 @p3142)) % 1.11/1.39 (step @p3146 :rule cong :premises (@p748 @p3145) :args (@t663)) % 1.11/1.39 (step @p3147 :rule cong :premises (@p3146) :args (@t664)) % 1.11/1.39 (step @p3148 :rule trans :premises (@p3147 @p3128)) % 1.11/1.39 (step @p3149 :rule refl :args (tptp.ubforcartprodlem2)) % 1.11/1.39 (step @p3150 :rule cong :premises (@p3149 @p3148) :args (@t665)) % 1.11/1.39 (step @p3151 :rule eq_resolve :premises (@p145 @p3150)) % 1.11/1.39 (step @p3152 :rule cong :premises (@p3151 @p3110) :args (@t2766)) % 1.11/1.39 (step @p3153 :rule aci_norm :args ((= @t2768 @t1454))) % 1.11/1.39 (step @p3154 :rule cong :premises (@p3153) :args (@t2769)) % 1.11/1.39 (step @p3155 :rule quant-merge-prenex :args ((= (forall @t245 @t2771) @t2769))) % 1.11/1.39 (step @p3156 :rule alpha_equiv :args (@t2772 (@list @t1451) @t2070)) % 1.11/1.39 (step @p3157 :rule nary_cong :premises (@p682 @p3156) :args (@t2773)) % 1.11/1.39 (step @p3158 :rule quant-miniscope-or :args ((= @t2771 @t2773))) % 1.11/1.39 (step @p3159 :rule trans :premises (@p3158 @p3157)) % 1.11/1.39 (step @p3160 :rule symm :premises (@p3159)) % 1.11/1.39 (step @p3161 :rule cong :premises (@p3160) :args ((forall @t245 (or @t1177 @t2775)))) % 1.11/1.39 (step @p3162 :rule trans :premises (@p3161 @p3155)) % 1.11/1.39 (step @p3163 :rule trans :premises (@p3162 @p3154)) % 1.11/1.39 (step @p3164 :rule refl :args (@t2775)) % 1.11/1.39 (step @p3165 :rule nary_cong :premises (@p702 @p3164) :args (@t2776)) % 1.11/1.39 (step @p3166 :rule cong :premises (@p3165) :args ((forall @t245 @t2776))) % 1.11/1.39 (step @p3167 :rule trans :premises (@p3166 @p3163)) % 1.11/1.39 (step @p3168 :rule bool-impl-elim :args (@t7 @t2775)) % 1.11/1.39 (step @p3169 :rule cong :premises (@p3168) :args ((forall @t245 (=> @t7 @t2775)))) % 1.11/1.39 (step @p3170 :rule trans :premises (@p3169 @p3167)) % 1.11/1.39 (step @p3171 :rule refl :args ((tptp.subset @t618 @t641))) % 1.11/1.39 (step @p3172 :rule cong :premises (@p2256 @p3068) :args (@t2774)) % 1.11/1.39 (step @p3173 :rule trans :premises (@p3172 @p3171)) % 1.11/1.39 (step @p3174 :rule ho_cong :premises (@p1166 @p2256)) % 1.11/1.39 (step @p3175 :rule ho_cong :premises (@p3174 @p3068)) % 1.11/1.39 (step @p3176 :rule cong :premises (@p3175 @p3173) :args ((= (_ (_ tptp.subset @t1329) @t1437) @t2774))) % 1.11/1.39 (step @p3177 :rule symm :premises (@p3176)) % 1.11/1.39 (step @p3178 :rule refl :args (@t655)) % 1.11/1.39 (step @p3179 :rule eq_resolve :premises (@p3178 @p3177)) % 1.11/1.39 (step @p3180 :rule ho_cong :premises (@p1166 @p2286)) % 1.11/1.39 (step @p3181 :rule ho_cong :premises (@p3180 @p3094)) % 1.11/1.39 (step @p3182 :rule trans :premises (@p3181 @p3179)) % 1.11/1.39 (step @p3183 :rule nary_cong :premises (@p999 @p3182) :args (@t2777)) % 1.11/1.39 (step @p3184 :rule cong :premises (@p3183) :args ((forall @t70 @t2777))) % 1.11/1.39 (step @p3185 :rule bool-impl-elim :args (@t352 @t655)) % 1.11/1.39 (step @p3186 :rule cong :premises (@p3185) :args (@t656)) % 1.11/1.39 (step @p3187 :rule trans :premises (@p3186 @p3184)) % 1.11/1.39 (step @p3188 :rule cong :premises (@p748 @p3187) :args (@t657)) % 1.11/1.39 (step @p3189 :rule cong :premises (@p3188) :args (@t658)) % 1.11/1.39 (step @p3190 :rule trans :premises (@p3189 @p3170)) % 1.11/1.39 (step @p3191 :rule refl :args (tptp.ubforcartprodlem1)) % 1.11/1.39 (step @p3192 :rule cong :premises (@p3191 @p3190) :args (@t659)) % 1.11/1.39 (step @p3193 :rule eq_resolve :premises (@p144 @p3192)) % 1.11/1.39 (step @p3194 :rule cong :premises (@p3193 @p3152) :args (@t2778)) % 1.11/1.39 (step @p3195 :rule aci_norm :args ((= @t2780 @t1460))) % 1.11/1.39 (step @p3196 :rule cong :premises (@p3195) :args (@t2781)) % 1.11/1.39 (step @p3197 :rule quant-merge-prenex :args ((= (forall @t245 @t2783) @t2781))) % 1.11/1.39 (step @p3198 :rule alpha_equiv :args (@t2784 (@list @t1457) @t2070)) % 1.11/1.39 (step @p3199 :rule nary_cong :premises (@p682 @p3198) :args (@t2785)) % 1.11/1.39 (step @p3200 :rule quant-miniscope-or :args ((= @t2783 @t2785))) % 1.11/1.39 (step @p3201 :rule trans :premises (@p3200 @p3199)) % 1.11/1.39 (step @p3202 :rule symm :premises (@p3201)) % 1.11/1.39 (step @p3203 :rule cong :premises (@p3202) :args ((forall @t245 (or @t1177 @t2787)))) % 1.11/1.39 (step @p3204 :rule trans :premises (@p3203 @p3197)) % 1.11/1.39 (step @p3205 :rule trans :premises (@p3204 @p3196)) % 1.11/1.39 (step @p3206 :rule refl :args (@t2787)) % 1.11/1.39 (step @p3207 :rule nary_cong :premises (@p702 @p3206) :args (@t2788)) % 1.11/1.39 (step @p3208 :rule cong :premises (@p3207) :args ((forall @t245 @t2788))) % 1.11/1.39 (step @p3209 :rule trans :premises (@p3208 @p3205)) % 1.11/1.39 (step @p3210 :rule bool-impl-elim :args (@t7 @t2787)) % 1.11/1.39 (step @p3211 :rule cong :premises (@p3210) :args ((forall @t245 (=> @t7 @t2787)))) % 1.11/1.39 (step @p3212 :rule trans :premises (@p3211 @p3209)) % 1.11/1.39 (step @p3213 :rule refl :args ((tptp.in @t291 @t641))) % 1.11/1.39 (step @p3214 :rule cong :premises (@p2252 @p3068) :args (@t2786)) % 1.11/1.39 (step @p3215 :rule trans :premises (@p3214 @p3213)) % 1.11/1.39 (step @p3216 :rule ho_cong :premises (@p983 @p2252)) % 1.11/1.39 (step @p3217 :rule ho_cong :premises (@p3216 @p3068)) % 1.11/1.39 (step @p3218 :rule cong :premises (@p3217 @p3215) :args ((= (_ (_ tptp.in @t1327) @t1437) @t2786))) % 1.11/1.39 (step @p3219 :rule symm :premises (@p3218)) % 1.11/1.39 (step @p3220 :rule refl :args (@t650)) % 1.11/1.39 (step @p3221 :rule eq_resolve :premises (@p3220 @p3219)) % 1.11/1.39 (step @p3222 :rule ho_cong :premises (@p983 @p2280)) % 1.11/1.39 (step @p3223 :rule ho_cong :premises (@p3222 @p3094)) % 1.11/1.39 (step @p3224 :rule trans :premises (@p3223 @p3221)) % 1.11/1.39 (step @p3225 :rule nary_cong :premises (@p999 @p3224) :args (@t2789)) % 1.11/1.39 (step @p3226 :rule cong :premises (@p3225) :args ((forall @t70 @t2789))) % 1.11/1.39 (step @p3227 :rule bool-impl-elim :args (@t352 @t650)) % 1.11/1.39 (step @p3228 :rule cong :premises (@p3227) :args (@t651)) % 1.11/1.39 (step @p3229 :rule trans :premises (@p3228 @p3226)) % 1.11/1.39 (step @p3230 :rule cong :premises (@p748 @p3229) :args (@t652)) % 1.11/1.39 (step @p3231 :rule cong :premises (@p3230) :args (@t653)) % 1.11/1.39 (step @p3232 :rule trans :premises (@p3231 @p3212)) % 1.11/1.39 (step @p3233 :rule refl :args (tptp.upairinpowunion)) % 1.11/1.39 (step @p3234 :rule cong :premises (@p3233 @p3232) :args (@t654)) % 1.11/1.39 (step @p3235 :rule eq_resolve :premises (@p143 @p3234)) % 1.11/1.39 (step @p3236 :rule cong :premises (@p3235 @p3194) :args (@t2790)) % 1.11/1.39 (step @p3237 :rule aci_norm :args ((= @t2792 @t1466))) % 1.11/1.39 (step @p3238 :rule cong :premises (@p3237) :args (@t2793)) % 1.11/1.39 (step @p3239 :rule quant-merge-prenex :args ((= (forall @t245 @t2795) @t2793))) % 1.11/1.39 (step @p3240 :rule alpha_equiv :args (@t2796 (@list @t1463) @t2070)) % 1.11/1.39 (step @p3241 :rule nary_cong :premises (@p682 @p3240) :args (@t2797)) % 1.11/1.39 (step @p3242 :rule quant-miniscope-or :args ((= @t2795 @t2797))) % 1.11/1.39 (step @p3243 :rule trans :premises (@p3242 @p3241)) % 1.11/1.39 (step @p3244 :rule symm :premises (@p3243)) % 1.11/1.39 (step @p3245 :rule cong :premises (@p3244) :args ((forall @t245 (or @t1177 @t2799)))) % 1.11/1.39 (step @p3246 :rule trans :premises (@p3245 @p3239)) % 1.11/1.39 (step @p3247 :rule trans :premises (@p3246 @p3238)) % 1.11/1.39 (step @p3248 :rule refl :args (@t2799)) % 1.11/1.39 (step @p3249 :rule nary_cong :premises (@p702 @p3248) :args (@t2800)) % 1.11/1.39 (step @p3250 :rule cong :premises (@p3249) :args ((forall @t245 @t2800))) % 1.11/1.39 (step @p3251 :rule trans :premises (@p3250 @p3247)) % 1.11/1.39 (step @p3252 :rule bool-impl-elim :args (@t7 @t2799)) % 1.11/1.39 (step @p3253 :rule cong :premises (@p3252) :args ((forall @t245 (=> @t7 @t2799)))) % 1.11/1.39 (step @p3254 :rule trans :premises (@p3253 @p3251)) % 1.11/1.39 (step @p3255 :rule refl :args ((tptp.subset @t291 @t492))) % 1.11/1.39 (step @p3256 :rule cong :premises (@p2252 @p3066) :args (@t2798)) % 1.11/1.39 (step @p3257 :rule trans :premises (@p3256 @p3255)) % 1.11/1.39 (step @p3258 :rule ho_cong :premises (@p1166 @p2252)) % 1.11/1.39 (step @p3259 :rule ho_cong :premises (@p3258 @p3066)) % 1.11/1.39 (step @p3260 :rule cong :premises (@p3259 @p3257) :args ((= (_ (_ tptp.subset @t1327) @t1436) @t2798))) % 1.11/1.39 (step @p3261 :rule symm :premises (@p3260)) % 1.11/1.39 (step @p3262 :rule refl :args (@t645)) % 1.11/1.39 (step @p3263 :rule eq_resolve :premises (@p3262 @p3261)) % 1.11/1.39 (step @p3264 :rule ho_cong :premises (@p1166 @p2280)) % 1.11/1.39 (step @p3265 :rule ho_cong :premises (@p3264 @p3092)) % 1.11/1.39 (step @p3266 :rule trans :premises (@p3265 @p3263)) % 1.11/1.39 (step @p3267 :rule nary_cong :premises (@p999 @p3266) :args (@t2801)) % 1.11/1.39 (step @p3268 :rule cong :premises (@p3267) :args ((forall @t70 @t2801))) % 1.11/1.39 (step @p3269 :rule bool-impl-elim :args (@t352 @t645)) % 1.11/1.39 (step @p3270 :rule cong :premises (@p3269) :args (@t646)) % 1.11/1.39 (step @p3271 :rule trans :premises (@p3270 @p3268)) % 1.11/1.39 (step @p3272 :rule cong :premises (@p748 @p3271) :args (@t647)) % 1.11/1.39 (step @p3273 :rule cong :premises (@p3272) :args (@t648)) % 1.11/1.39 (step @p3274 :rule trans :premises (@p3273 @p3254)) % 1.11/1.39 (step @p3275 :rule refl :args (tptp.upairsubunion)) % 1.11/1.39 (step @p3276 :rule cong :premises (@p3275 @p3274) :args (@t649)) % 1.11/1.39 (step @p3277 :rule eq_resolve :premises (@p142 @p3276)) % 1.11/1.39 (step @p3278 :rule cong :premises (@p3277 @p3236) :args (@t2802)) % 1.11/1.39 (step @p3279 :rule eq-symm :args (@t1471 tptp.upairset2E)) % 1.11/1.39 (step @p3280 :rule refl :args (tptp.upairset2E)) % 1.11/1.39 (step @p3281 :rule refl :args (@t1469)) % 1.11/1.39 (step @p3282 :rule refl :args ((tptp.in @t289 @t291))) % 1.11/1.39 (step @p3283 :rule cong :premises (@p2204 @p2252) :args (@t1470)) % 1.11/1.39 (step @p3284 :rule trans :premises (@p3283 @p3282)) % 1.11/1.39 (step @p3285 :rule refl :args (@t292)) % 1.11/1.39 (step @p3286 :rule ho_cong :premises (@p3285 @p2252)) % 1.11/1.39 (step @p3287 :rule cong :premises (@p3286 @p3284) :args ((= (_ @t292 @t1327) @t1470))) % 1.11/1.39 (step @p3288 :rule symm :premises (@p3287)) % 1.11/1.39 (step @p3289 :rule refl :args (@t293)) % 1.11/1.39 (step @p3290 :rule eq_resolve :premises (@p3289 @p3288)) % 1.11/1.39 (step @p3291 :rule ho_cong :premises (@p3285 @p2280)) % 1.11/1.39 (step @p3292 :rule trans :premises (@p3291 @p3290)) % 1.11/1.39 (step @p3293 :rule cong :premises (@p3292) :args (@t2803)) % 1.11/1.39 (step @p3294 :rule nary_cong :premises (@p3293 @p2417 @p3281) :args (@t2804)) % 1.11/1.39 (step @p3295 :rule cong :premises (@p3294) :args ((forall @t295 @t2804))) % 1.11/1.39 (step @p3296 :rule aci_norm :args ((= (or @t2803 @t2805) @t2804))) % 1.11/1.39 (step @p3297 :rule bool-impl-elim :args (@t293 @t2805)) % 1.11/1.39 (step @p3298 :rule trans :premises (@p3297 @p3296)) % 1.11/1.39 (step @p3299 :rule cong :premises (@p3298) :args ((forall @t295 (=> @t293 @t2805)))) % 1.11/1.39 (step @p3300 :rule trans :premises (@p3299 @p3295)) % 1.11/1.39 (step @p3301 :rule eq-symm :args (@t289 @t19)) % 1.11/1.39 (step @p3302 :rule eq-symm :args (@t289 @t4)) % 1.11/1.39 (step @p3303 :rule nary_cong :premises (@p3302 @p3301) :args (@t290)) % 1.11/1.39 (step @p3304 :rule refl :args (@t293)) % 1.11/1.39 (step @p3305 :rule cong :premises (@p3304 @p3303) :args (@t294)) % 1.11/1.39 (step @p3306 :rule cong :premises (@p3305) :args (@t296)) % 1.11/1.39 (step @p3307 :rule trans :premises (@p3306 @p3300)) % 1.11/1.39 (step @p3308 :rule cong :premises (@p3307 @p3280) :args ((= @t296 tptp.upairset2E))) % 1.11/1.39 (step @p3309 :rule trans :premises (@p3308 @p3279)) % 1.11/1.39 (step @p3310 :rule eq-symm :args (tptp.upairset2E @t296)) % 1.11/1.39 (step @p3311 :rule trans :premises (@p3310 @p3309)) % 1.11/1.39 (step @p3312 :rule eq_resolve :premises (@p141 @p3311)) % 1.11/1.39 (step @p3313 :rule cong :premises (@p3312 @p3278) :args (@t2806)) % 1.11/1.39 (step @p3314 :rule refl :args ((tptp.in @t279 @t641))) % 1.11/1.39 (step @p3315 :rule cong :premises (@p854 @p3068) :args (@t1472)) % 1.11/1.39 (step @p3316 :rule trans :premises (@p3315 @p3314)) % 1.11/1.39 (step @p3317 :rule ho_cong :premises (@p983 @p854)) % 1.11/1.39 (step @p3318 :rule ho_cong :premises (@p3317 @p3068)) % 1.11/1.39 (step @p3319 :rule cong :premises (@p3318 @p3316) :args ((= (_ @t2807 @t1437) @t1472))) % 1.11/1.39 (step @p3320 :rule symm :premises (@p3319)) % 1.11/1.39 (step @p3321 :rule refl :args (@t642)) % 1.11/1.39 (step @p3322 :rule eq_resolve :premises (@p3321 @p3320)) % 1.11/1.39 (step @p3323 :rule ho_cong :premises (@p983 @p858)) % 1.11/1.39 (step @p3324 :rule ho_cong :premises (@p3323 @p3094)) % 1.11/1.39 (step @p3325 :rule trans :premises (@p3324 @p3322)) % 1.11/1.39 (step @p3326 :rule nary_cong :premises (@p702 @p3325) :args (@t2808)) % 1.11/1.39 (step @p3327 :rule cong :premises (@p3326) :args ((forall @t245 @t2808))) % 1.11/1.39 (step @p3328 :rule bool-impl-elim :args (@t7 @t642)) % 1.11/1.39 (step @p3329 :rule cong :premises (@p3328) :args (@t643)) % 1.11/1.39 (step @p3330 :rule trans :premises (@p3329 @p3327)) % 1.11/1.39 (step @p3331 :rule refl :args (tptp.singletoninpowunion)) % 1.11/1.39 (step @p3332 :rule cong :premises (@p3331 @p3330) :args (@t644)) % 1.11/1.39 (step @p3333 :rule eq_resolve :premises (@p140 @p3332)) % 1.11/1.39 (step @p3334 :rule cong :premises (@p3333 @p3313) :args (@t2809)) % 1.11/1.39 (step @p3335 :rule refl :args ((tptp.in @t279 @t33))) % 1.11/1.39 (step @p3336 :rule refl :args (@t1474)) % 1.11/1.39 (step @p3337 :rule cong :premises (@p854 @p3336) :args (@t1475)) % 1.11/1.39 (step @p3338 :rule trans :premises (@p3337 @p3335)) % 1.11/1.39 (step @p3339 :rule ho_cong :premises (@p3317 @p3336)) % 1.11/1.39 (step @p3340 :rule cong :premises (@p3339 @p3338) :args ((= (_ @t2807 @t1474) @t1475))) % 1.11/1.39 (step @p3341 :rule symm :premises (@p3340)) % 1.11/1.39 (step @p3342 :rule refl :args (@t638)) % 1.11/1.39 (step @p3343 :rule eq_resolve :premises (@p3342 @p3341)) % 1.11/1.39 (step @p3344 :rule refl :args (@t33)) % 1.11/1.39 (step @p3345 :rule cong :premises (@p3344 @p3336) :args ((= @t33 @t1474))) % 1.11/1.39 (step @p3346 :rule symm :premises (@p3345)) % 1.11/1.39 (step @p3347 :rule eq_resolve :premises (@p3344 @p3346)) % 1.11/1.39 (step @p3348 :rule ho_cong :premises (@p3323 @p3347)) % 1.11/1.39 (step @p3349 :rule trans :premises (@p3348 @p3343)) % 1.11/1.39 (step @p3350 :rule nary_cong :premises (@p702 @p3349) :args (@t2810)) % 1.11/1.39 (step @p3351 :rule cong :premises (@p3350) :args ((forall @t46 @t2810))) % 1.11/1.39 (step @p3352 :rule bool-impl-elim :args (@t7 @t638)) % 1.11/1.39 (step @p3353 :rule cong :premises (@p3352) :args (@t639)) % 1.11/1.39 (step @p3354 :rule trans :premises (@p3353 @p3351)) % 1.11/1.39 (step @p3355 :rule refl :args (tptp.singletoninpowerset)) % 1.11/1.39 (step @p3356 :rule cong :premises (@p3355 @p3354) :args (@t640)) % 1.11/1.39 (step @p3357 :rule eq_resolve :premises (@p139 @p3356)) % 1.11/1.39 (step @p3358 :rule cong :premises (@p3357 @p3334) :args (@t2811)) % 1.11/1.39 (step @p3359 :rule refl :args ((tptp.subset @t279 @t2))) % 1.11/1.39 (step @p3360 :rule cong :premises (@p854 @p769) :args (@t1477)) % 1.11/1.39 (step @p3361 :rule trans :premises (@p3360 @p3359)) % 1.11/1.39 (step @p3362 :rule ho_cong :premises (@p1166 @p854)) % 1.11/1.39 (step @p3363 :rule ho_cong :premises (@p3362 @p769)) % 1.11/1.39 (step @p3364 :rule cong :premises (@p3363 @p3361) :args ((= (_ (_ tptp.subset @t1315) @t2) @t1477))) % 1.11/1.39 (step @p3365 :rule symm :premises (@p3364)) % 1.11/1.39 (step @p3366 :rule refl :args (@t634)) % 1.11/1.39 (step @p3367 :rule eq_resolve :premises (@p3366 @p3365)) % 1.11/1.39 (step @p3368 :rule ho_cong :premises (@p1166 @p858)) % 1.11/1.39 (step @p3369 :rule ho_cong :premises (@p3368 @p769)) % 1.11/1.39 (step @p3370 :rule trans :premises (@p3369 @p3367)) % 1.11/1.39 (step @p3371 :rule nary_cong :premises (@p702 @p3370) :args (@t2812)) % 1.11/1.39 (step @p3372 :rule cong :premises (@p3371) :args ((forall @t46 @t2812))) % 1.11/1.39 (step @p3373 :rule bool-impl-elim :args (@t7 @t634)) % 1.11/1.39 (step @p3374 :rule cong :premises (@p3373) :args (@t635)) % 1.11/1.39 (step @p3375 :rule trans :premises (@p3374 @p3372)) % 1.11/1.39 (step @p3376 :rule refl :args (tptp.singletonsubset)) % 1.11/1.39 (step @p3377 :rule cong :premises (@p3376 @p3375) :args (@t636)) % 1.11/1.39 (step @p3378 :rule eq_resolve :premises (@p138 @p3377)) % 1.11/1.39 (step @p3379 :rule cong :premises (@p3378 @p3358) :args (@t2813)) % 1.11/1.39 (step @p3380 :rule refl :args ((tptp.iskpair @t630))) % 1.11/1.39 (step @p3381 :rule cong :premises (@p965) :args (@t1479)) % 1.11/1.39 (step @p3382 :rule trans :premises (@p3381 @p3380)) % 1.11/1.39 (step @p3383 :rule refl :args (tptp.iskpair)) % 1.11/1.39 (step @p3384 :rule ho_cong :premises (@p3383 @p965)) % 1.11/1.39 (step @p3385 :rule cong :premises (@p3384 @p3382) :args ((= (_ tptp.iskpair @t1169) @t1479))) % 1.11/1.39 (step @p3386 :rule symm :premises (@p3385)) % 1.11/1.39 (step @p3387 :rule refl :args (@t631)) % 1.11/1.39 (step @p3388 :rule eq_resolve :premises (@p3387 @p3386)) % 1.11/1.39 (step @p3389 :rule ho_cong :premises (@p3383 @p977)) % 1.11/1.39 (step @p3390 :rule trans :premises (@p3389 @p3388)) % 1.11/1.39 (step @p3391 :rule cong :premises (@p3390) :args (@t632)) % 1.11/1.39 (step @p3392 :rule refl :args (tptp.kpairp)) % 1.11/1.39 (step @p3393 :rule cong :premises (@p3392 @p3391) :args (@t633)) % 1.11/1.39 (step @p3394 :rule eq_resolve :premises (@p137 @p3393)) % 1.11/1.39 (step @p3395 :rule cong :premises (@p3394 @p3379) :args (@t2814)) % 1.11/1.39 (step @p3396 :rule refl :args ((tptp.iskpair @t618))) % 1.11/1.39 (step @p3397 :rule cong :premises (@p2256) :args (@t1481)) % 1.11/1.39 (step @p3398 :rule trans :premises (@p3397 @p3396)) % 1.11/1.39 (step @p3399 :rule ho_cong :premises (@p3383 @p2256)) % 1.11/1.39 (step @p3400 :rule cong :premises (@p3399 @p3398) :args ((= (_ tptp.iskpair @t1329) @t1481))) % 1.11/1.39 (step @p3401 :rule symm :premises (@p3400)) % 1.11/1.39 (step @p3402 :rule refl :args (@t626)) % 1.11/1.39 (step @p3403 :rule eq_resolve :premises (@p3402 @p3401)) % 1.11/1.39 (step @p3404 :rule ho_cong :premises (@p3383 @p2286)) % 1.11/1.39 (step @p3405 :rule trans :premises (@p3404 @p3403)) % 1.11/1.39 (step @p3406 :rule cong :premises (@p3405) :args (@t627)) % 1.11/1.39 (step @p3407 :rule refl :args (tptp.kpairiskpair)) % 1.11/1.39 (step @p3408 :rule cong :premises (@p3407 @p3406) :args (@t628)) % 1.11/1.39 (step @p3409 :rule eq_resolve :premises (@p136 @p3408)) % 1.11/1.39 (step @p3410 :rule cong :premises (@p3409 @p3395) :args (@t2815)) % 1.11/1.39 (step @p3411 :rule refl :args ((tptp.in @t19 @t619))) % 1.11/1.39 (step @p3412 :rule refl :args ((tptp.setunion @t618))) % 1.11/1.39 (step @p3413 :rule cong :premises (@p2256) :args (@t1483)) % 1.11/1.39 (step @p3414 :rule trans :premises (@p3413 @p3412)) % 1.11/1.39 (step @p3415 :rule cong :premises (@p1051 @p3414) :args (@t1484)) % 1.11/1.39 (step @p3416 :rule trans :premises (@p3415 @p3411)) % 1.11/1.39 (step @p3417 :rule refl :args (@t20)) % 1.11/1.39 (step @p3418 :rule ho_cong :premises (@p3417 @p3414)) % 1.11/1.39 (step @p3419 :rule cong :premises (@p3418 @p3416) :args ((= (_ @t20 @t1483) @t1484))) % 1.11/1.39 (step @p3420 :rule symm :premises (@p3419)) % 1.11/1.39 (step @p3421 :rule refl :args (@t623)) % 1.11/1.39 (step @p3422 :rule eq_resolve :premises (@p3421 @p3420)) % 1.11/1.39 (step @p3423 :rule ho_cong :premises (@p1447 @p2256)) % 1.11/1.39 (step @p3424 :rule cong :premises (@p3423 @p3414) :args ((= (_ tptp.setunion @t1329) @t1483))) % 1.11/1.39 (step @p3425 :rule symm :premises (@p3424)) % 1.11/1.39 (step @p3426 :rule refl :args (@t619)) % 1.11/1.39 (step @p3427 :rule eq_resolve :premises (@p3426 @p3425)) % 1.11/1.39 (step @p3428 :rule ho_cong :premises (@p1447 @p2286)) % 1.11/1.39 (step @p3429 :rule trans :premises (@p3428 @p3427)) % 1.11/1.39 (step @p3430 :rule ho_cong :premises (@p3417 @p3429)) % 1.11/1.39 (step @p3431 :rule trans :premises (@p3430 @p3422)) % 1.11/1.39 (step @p3432 :rule cong :premises (@p3431) :args (@t624)) % 1.11/1.39 (step @p3433 :rule refl :args (tptp.setukpairIR)) % 1.11/1.39 (step @p3434 :rule cong :premises (@p3433 @p3432) :args (@t625)) % 1.11/1.39 (step @p3435 :rule eq_resolve :premises (@p135 @p3434)) % 1.11/1.39 (step @p3436 :rule cong :premises (@p3435 @p3410) :args (@t2816)) % 1.11/1.39 (step @p3437 :rule refl :args ((tptp.in @t4 @t619))) % 1.11/1.39 (step @p3438 :rule cong :premises (@p774 @p3414) :args (@t1486)) % 1.11/1.39 (step @p3439 :rule trans :premises (@p3438 @p3437)) % 1.11/1.39 (step @p3440 :rule ho_cong :premises (@p2910 @p3414)) % 1.11/1.39 (step @p3441 :rule cong :premises (@p3440 @p3439) :args ((= (_ @t5 @t1483) @t1486))) % 1.11/1.39 (step @p3442 :rule symm :premises (@p3441)) % 1.11/1.39 (step @p3443 :rule refl :args (@t620)) % 1.11/1.39 (step @p3444 :rule eq_resolve :premises (@p3443 @p3442)) % 1.11/1.39 (step @p3445 :rule ho_cong :premises (@p2910 @p3429)) % 1.11/1.39 (step @p3446 :rule trans :premises (@p3445 @p3444)) % 1.11/1.39 (step @p3447 :rule cong :premises (@p3446) :args (@t621)) % 1.11/1.39 (step @p3448 :rule refl :args (tptp.setukpairIL)) % 1.11/1.39 (step @p3449 :rule cong :premises (@p3448 @p3447) :args (@t622)) % 1.11/1.39 (step @p3450 :rule eq_resolve :premises (@p134 @p3449)) % 1.11/1.39 (step @p3451 :rule cong :premises (@p3450 @p3436) :args (@t2817)) % 1.11/1.39 (step @p3452 :rule eq-symm :args (@t1489 tptp.secondinupair)) % 1.11/1.39 (step @p3453 :rule refl :args (tptp.secondinupair)) % 1.11/1.39 (step @p3454 :rule refl :args ((tptp.in @t19 @t291))) % 1.11/1.39 (step @p3455 :rule cong :premises (@p1051 @p2252) :args (@t1488)) % 1.11/1.39 (step @p3456 :rule trans :premises (@p3455 @p3454)) % 1.11/1.39 (step @p3457 :rule ho_cong :premises (@p3417 @p2252)) % 1.11/1.39 (step @p3458 :rule cong :premises (@p3457 @p3456) :args ((= (_ @t20 @t1327) @t1488))) % 1.11/1.39 (step @p3459 :rule symm :premises (@p3458)) % 1.11/1.39 (step @p3460 :rule refl :args (@t301)) % 1.11/1.39 (step @p3461 :rule eq_resolve :premises (@p3460 @p3459)) % 1.11/1.39 (step @p3462 :rule ho_cong :premises (@p3417 @p2280)) % 1.11/1.39 (step @p3463 :rule trans :premises (@p3462 @p3461)) % 1.11/1.39 (step @p3464 :rule cong :premises (@p3463) :args (@t302)) % 1.11/1.39 (step @p3465 :rule cong :premises (@p3464 @p3453) :args ((= @t302 tptp.secondinupair))) % 1.11/1.39 (step @p3466 :rule trans :premises (@p3465 @p3452)) % 1.11/1.39 (step @p3467 :rule eq-symm :args (tptp.secondinupair @t302)) % 1.11/1.39 (step @p3468 :rule trans :premises (@p3467 @p3466)) % 1.11/1.39 (step @p3469 :rule eq_resolve :premises (@p133 @p3468)) % 1.11/1.39 (step @p3470 :rule cong :premises (@p3469 @p3451) :args (@t2818)) % 1.11/1.39 (step @p3471 :rule refl :args ((tptp.in @t4 @t598))) % 1.11/1.39 (step @p3472 :rule refl :args (@t1490)) % 1.11/1.39 (step @p3473 :rule cong :premises (@p774 @p3472) :args (@t1491)) % 1.11/1.39 (step @p3474 :rule trans :premises (@p3473 @p3471)) % 1.11/1.39 (step @p3475 :rule ho_cong :premises (@p2910 @p3472)) % 1.11/1.39 (step @p3476 :rule cong :premises (@p3475 @p3474) :args ((= (_ @t5 @t1490) @t1491))) % 1.11/1.39 (step @p3477 :rule symm :premises (@p3476)) % 1.11/1.39 (step @p3478 :rule refl :args (@t599)) % 1.11/1.39 (step @p3479 :rule eq_resolve :premises (@p3478 @p3477)) % 1.11/1.39 (step @p3480 :rule refl :args (@t598)) % 1.11/1.39 (step @p3481 :rule cong :premises (@p3480 @p3472) :args ((= @t598 @t1490))) % 1.11/1.39 (step @p3482 :rule symm :premises (@p3481)) % 1.11/1.39 (step @p3483 :rule eq_resolve :premises (@p3480 @p3482)) % 1.11/1.39 (step @p3484 :rule ho_cong :premises (@p2910 @p3483)) % 1.11/1.39 (step @p3485 :rule trans :premises (@p3484 @p3479)) % 1.11/1.39 (step @p3486 :rule cong :premises (@p3485) :args (@t609)) % 1.11/1.39 (step @p3487 :rule refl :args (@t1493)) % 1.11/1.39 (step @p3488 :rule refl :args (@t6)) % 1.11/1.39 (step @p3489 :rule cong :premises (@p3488 @p3487) :args ((= @t6 @t1493))) % 1.11/1.39 (step @p3490 :rule symm :premises (@p3489)) % 1.11/1.39 (step @p3491 :rule eq_resolve :premises (@p3488 @p3490)) % 1.11/1.39 (step @p3492 :rule nary_cong :premises (@p701 @p3491 @p3486) :args (@t2819)) % 1.11/1.39 (step @p3493 :rule cong :premises (@p3492) :args ((forall @t245 @t2819))) % 1.11/1.39 (step @p3494 :rule aci_norm :args ((= (or @t7 (or @t6 @t609)) @t2819))) % 1.11/1.39 (step @p3495 :rule refl :args (@t609)) % 1.11/1.39 (step @p3496 :rule bool-double-not-elim :args (@t6)) % 1.11/1.39 (step @p3497 :rule nary_cong :premises (@p3496 @p3495) :args ((or @t2820 @t609))) % 1.11/1.39 (step @p3498 :rule bool-impl-elim :args (@t435 @t609)) % 1.11/1.39 (step @p3499 :rule trans :premises (@p3498 @p3497)) % 1.11/1.39 (step @p3500 :rule nary_cong :premises (@p698 @p3499) :args ((or @t7 @t613))) % 1.11/1.39 (step @p3501 :rule trans :premises (@p3500 @p3494)) % 1.11/1.39 (step @p3502 :rule refl :args (@t613)) % 1.11/1.39 (step @p3503 :rule bool-double-not-elim :args (@t7)) % 1.11/1.39 (step @p3504 :rule nary_cong :premises (@p3503 @p3502) :args ((or @t2821 @t613))) % 1.11/1.39 (step @p3505 :rule bool-impl-elim :args (@t197 @t613)) % 1.11/1.39 (step @p3506 :rule trans :premises (@p3505 @p3504)) % 1.11/1.39 (step @p3507 :rule trans :premises (@p3506 @p3501)) % 1.11/1.39 (step @p3508 :rule cong :premises (@p3507) :args (@t614)) % 1.11/1.39 (step @p3509 :rule trans :premises (@p3508 @p3493)) % 1.11/1.39 (step @p3510 :rule refl :args (tptp.symdiffIneg2)) % 1.11/1.39 (step @p3511 :rule cong :premises (@p3510 @p3509) :args (@t615)) % 1.11/1.39 (step @p3512 :rule eq_resolve :premises (@p132 @p3511)) % 1.11/1.39 (step @p3513 :rule cong :premises (@p3512 @p3470) :args (@t2822)) % 1.11/1.39 (step @p3514 :rule cong :premises (@p3491) :args (@t435)) % 1.11/1.39 (step @p3515 :rule nary_cong :premises (@p702 @p3514 @p3486) :args (@t2823)) % 1.11/1.39 (step @p3516 :rule cong :premises (@p3515) :args ((forall @t245 @t2823))) % 1.11/1.39 (step @p3517 :rule aci_norm :args ((= (or @t197 (or @t435 @t609)) @t2823))) % 1.11/1.39 (step @p3518 :rule bool-impl-elim :args (@t6 @t609)) % 1.11/1.39 (step @p3519 :rule nary_cong :premises (@p2710 @p3518) :args ((or @t197 @t610))) % 1.11/1.39 (step @p3520 :rule trans :premises (@p3519 @p3517)) % 1.11/1.39 (step @p3521 :rule bool-impl-elim :args (@t7 @t610)) % 1.11/1.39 (step @p3522 :rule trans :premises (@p3521 @p3520)) % 1.11/1.39 (step @p3523 :rule cong :premises (@p3522) :args (@t611)) % 1.11/1.39 (step @p3524 :rule trans :premises (@p3523 @p3516)) % 1.11/1.39 (step @p3525 :rule refl :args (tptp.symdiffIneg1)) % 1.11/1.39 (step @p3526 :rule cong :premises (@p3525 @p3524) :args (@t612)) % 1.11/1.39 (step @p3527 :rule eq_resolve :premises (@p131 @p3526)) % 1.11/1.39 (step @p3528 :rule cong :premises (@p3527 @p3513) :args (@t2824)) % 1.11/1.39 (step @p3529 :rule nary_cong :premises (@p701 @p3514 @p3485) :args (@t2825)) % 1.11/1.39 (step @p3530 :rule cong :premises (@p3529) :args ((forall @t245 @t2825))) % 1.11/1.39 (step @p3531 :rule aci_norm :args ((= (or @t7 (or @t435 @t599)) @t2825))) % 1.11/1.39 (step @p3532 :rule bool-impl-elim :args (@t6 @t599)) % 1.11/1.39 (step @p3533 :rule nary_cong :premises (@p698 @p3532) :args ((or @t7 @t606))) % 1.11/1.39 (step @p3534 :rule trans :premises (@p3533 @p3531)) % 1.11/1.39 (step @p3535 :rule refl :args (@t606)) % 1.11/1.39 (step @p3536 :rule nary_cong :premises (@p3503 @p3535) :args ((or @t2821 @t606))) % 1.11/1.39 (step @p3537 :rule bool-impl-elim :args (@t197 @t606)) % 1.11/1.39 (step @p3538 :rule trans :premises (@p3537 @p3536)) % 1.11/1.39 (step @p3539 :rule trans :premises (@p3538 @p3534)) % 1.11/1.39 (step @p3540 :rule cong :premises (@p3539) :args (@t607)) % 1.11/1.39 (step @p3541 :rule trans :premises (@p3540 @p3530)) % 1.11/1.39 (step @p3542 :rule refl :args (tptp.symdiffI2)) % 1.11/1.39 (step @p3543 :rule cong :premises (@p3542 @p3541) :args (@t608)) % 1.11/1.39 (step @p3544 :rule eq_resolve :premises (@p130 @p3543)) % 1.11/1.39 (step @p3545 :rule cong :premises (@p3544 @p3528) :args (@t2826)) % 1.11/1.39 (step @p3546 :rule nary_cong :premises (@p702 @p3491 @p3485) :args (@t2827)) % 1.11/1.39 (step @p3547 :rule cong :premises (@p3546) :args ((forall @t245 @t2827))) % 1.11/1.39 (step @p3548 :rule aci_norm :args ((= (or @t197 (or @t6 @t599)) @t2827))) % 1.11/1.39 (step @p3549 :rule nary_cong :premises (@p3496 @p3478) :args ((or @t2820 @t599))) % 1.11/1.39 (step @p3550 :rule bool-impl-elim :args (@t435 @t599)) % 1.11/1.39 (step @p3551 :rule trans :premises (@p3550 @p3549)) % 1.11/1.39 (step @p3552 :rule nary_cong :premises (@p2710 @p3551) :args ((or @t197 @t603))) % 1.11/1.39 (step @p3553 :rule trans :premises (@p3552 @p3548)) % 1.11/1.39 (step @p3554 :rule bool-impl-elim :args (@t7 @t603)) % 1.11/1.39 (step @p3555 :rule trans :premises (@p3554 @p3553)) % 1.11/1.39 (step @p3556 :rule cong :premises (@p3555) :args (@t604)) % 1.11/1.39 (step @p3557 :rule trans :premises (@p3556 @p3547)) % 1.11/1.39 (step @p3558 :rule refl :args (tptp.symdiffI1)) % 1.11/1.39 (step @p3559 :rule cong :premises (@p3558 @p3557) :args (@t605)) % 1.11/1.39 (step @p3560 :rule eq_resolve :premises (@p129 @p3559)) % 1.11/1.39 (step @p3561 :rule cong :premises (@p3560 @p3545) :args (@t2828)) % 1.11/1.39 (step @p3562 :rule refl :args (@t1499)) % 1.11/1.39 (step @p3563 :rule refl :args (@t1500)) % 1.11/1.39 (step @p3564 :rule nary_cong :premises (@p3486 @p3563 @p3562) :args (@t2829)) % 1.11/1.39 (step @p3565 :rule cong :premises (@p3564) :args ((forall @t245 @t2829))) % 1.11/1.39 (step @p3566 :rule aci_norm :args ((= (or @t609 @t2830) @t2829))) % 1.11/1.39 (step @p3567 :rule bool-impl-elim :args (@t599 @t2830)) % 1.11/1.39 (step @p3568 :rule trans :premises (@p3567 @p3566)) % 1.11/1.39 (step @p3569 :rule cong :premises (@p3568) :args ((forall @t245 (=> @t599 @t2830)))) % 1.11/1.39 (step @p3570 :rule trans :premises (@p3569 @p3565)) % 1.11/1.39 (step @p3571 :rule aci_norm :args ((= (and @t1177 @t1493 true) @t1499))) % 1.11/1.39 (step @p3572 :rule evaluate :args (@t2831)) % 1.11/1.39 (step @p3573 :rule refl :args (@t1493)) % 1.11/1.39 (step @p3574 :rule nary_cong :premises (@p1199 @p3573 @p3572) :args (@t2832)) % 1.11/1.39 (step @p3575 :rule trans :premises (@p3574 @p3571)) % 1.11/1.39 (step @p3576 :rule aci_norm :args ((= (and @t1176 @t1495 true) @t1500))) % 1.11/1.39 (step @p3577 :rule refl :args (@t1495)) % 1.11/1.39 (step @p3578 :rule nary_cong :premises (@p1725 @p3577 @p3572) :args (@t2833)) % 1.11/1.39 (step @p3579 :rule trans :premises (@p3578 @p3576)) % 1.11/1.39 (step @p3580 :rule nary_cong :premises (@p3579 @p3575) :args (@t2834)) % 1.11/1.39 (step @p3581 :rule aci_norm :args ((= @t2835 @t2834))) % 1.11/1.39 (step @p3582 :rule trans :premises (@p3581 @p3580)) % 1.11/1.39 (step @p3583 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2839 @t2838 @t2837 @t173)) @t2835))) % 1.11/1.39 (step @p3584 :rule refl :args (@t173)) % 1.11/1.39 (step @p3585 :rule refl :args (@t2837)) % 1.11/1.39 (step @p3586 :rule refl :args (@t2838)) % 1.11/1.39 (step @p3587 :rule bool-eq-false :args (@t173)) % 1.11/1.39 (step @p3588 :rule symm :premises (@p3587)) % 1.11/1.39 (step @p3589 :rule cong :premises (@p3588) :args ((not @t2836))) % 1.11/1.39 (step @p3590 :rule bool-double-not-elim :args (@t173)) % 1.11/1.39 (step @p3591 :rule symm :premises (@p3590)) % 1.11/1.39 (step @p3592 :rule trans :premises (@p3591 @p3589)) % 1.11/1.39 (step @p3593 :rule nary_cong :premises (@p3592 @p3586 @p3585 @p3584) :args (@t2840)) % 1.11/1.39 (step @p3594 :rule aci_norm :args ((= @t2841 @t2840))) % 1.11/1.39 (step @p3595 :rule trans :premises (@p3594 @p3593)) % 1.11/1.39 (step @p3596 :rule cong :premises (@p3595) :args ((forall @t179 @t2841))) % 1.11/1.39 (step @p3597 :rule trans :premises (@p3596 @p3583)) % 1.11/1.39 (step @p3598 :rule trans :premises (@p3597 @p3582)) % 1.11/1.39 (step @p3599 :rule refl :args (@t2836)) % 1.11/1.39 (step @p3600 :rule nary_cong :premises (@p702 @p3491 @p3599) :args (@t2842)) % 1.11/1.39 (step @p3601 :rule nary_cong :premises (@p701 @p3514 @p3599) :args (@t2843)) % 1.11/1.39 (step @p3602 :rule nary_cong :premises (@p3601 @p3600 @p3584) :args (@t2844)) % 1.11/1.39 (step @p3603 :rule cong :premises (@p3602) :args ((forall @t179 @t2844))) % 1.11/1.39 (step @p3604 :rule trans :premises (@p3603 @p3598)) % 1.11/1.39 (step @p3605 :rule aci_norm :args ((= (or @t2843 (or @t2842 @t173)) @t2844))) % 1.11/1.39 (step @p3606 :rule aci_norm :args ((= (and @t197 @t2845) @t2842))) % 1.11/1.39 (step @p3607 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.11/1.39 (step @p3608 :rule nary_cong :premises (@p2710 @p3607) :args ((and @t197 @t2846))) % 1.11/1.39 (step @p3609 :rule trans :premises (@p3608 @p3606)) % 1.11/1.39 (step @p3610 :rule bool-implies-de-morgan :args (@t197 @t498)) % 1.11/1.39 (step @p3611 :rule trans :premises (@p3610 @p3609)) % 1.11/1.39 (step @p3612 :rule nary_cong :premises (@p3611 @p3584) :args ((or (not @t593) @t173))) % 1.11/1.39 (step @p3613 :rule bool-impl-elim :args (@t593 @t173)) % 1.11/1.39 (step @p3614 :rule trans :premises (@p3613 @p3612)) % 1.11/1.39 (step @p3615 :rule aci_norm :args ((= (and @t7 (and @t435 @t2836)) @t2843))) % 1.11/1.39 (step @p3616 :rule bool-implies-de-morgan :args (@t435 @t173)) % 1.11/1.39 (step @p3617 :rule nary_cong :premises (@p698 @p3616) :args ((and @t7 (not @t595)))) % 1.11/1.39 (step @p3618 :rule trans :premises (@p3617 @p3615)) % 1.11/1.39 (step @p3619 :rule bool-implies-de-morgan :args (@t7 @t595)) % 1.11/1.39 (step @p3620 :rule trans :premises (@p3619 @p3618)) % 1.11/1.39 (step @p3621 :rule nary_cong :premises (@p3620 @p3614) :args ((or (not @t596) @t594))) % 1.11/1.39 (step @p3622 :rule trans :premises (@p3621 @p3605)) % 1.11/1.39 (step @p3623 :rule bool-impl-elim :args (@t596 @t594)) % 1.11/1.39 (step @p3624 :rule trans :premises (@p3623 @p3622)) % 1.11/1.39 (step @p3625 :rule cong :premises (@p3624) :args (@t597)) % 1.11/1.39 (step @p3626 :rule trans :premises (@p3625 @p3604)) % 1.11/1.39 (step @p3627 :rule refl :args (@t599)) % 1.11/1.39 (step @p3628 :rule cong :premises (@p3627 @p3626) :args (@t600)) % 1.11/1.39 (step @p3629 :rule cong :premises (@p3628) :args (@t601)) % 1.11/1.39 (step @p3630 :rule trans :premises (@p3629 @p3570)) % 1.11/1.39 (step @p3631 :rule refl :args (tptp.symdiffE)) % 1.11/1.39 (step @p3632 :rule cong :premises (@p3631 @p3630) :args (@t602)) % 1.11/1.39 (step @p3633 :rule eq_resolve :premises (@p128 @p3632)) % 1.11/1.39 (step @p3634 :rule cong :premises (@p3633 @p3561) :args (@t2847)) % 1.11/1.39 (step @p3635 :rule refl :args (@t1502)) % 1.11/1.39 (step @p3636 :rule refl :args (@t420)) % 1.11/1.39 (step @p3637 :rule cong :premises (@p3636 @p3635) :args ((= @t420 @t1502))) % 1.11/1.39 (step @p3638 :rule symm :premises (@p3637)) % 1.11/1.39 (step @p3639 :rule eq_resolve :premises (@p3636 @p3638)) % 1.11/1.39 (step @p3640 :rule refl :args (@t1503)) % 1.11/1.39 (step @p3641 :rule refl :args (@t565)) % 1.11/1.39 (step @p3642 :rule cong :premises (@p3641 @p3640) :args ((= @t565 @t1503))) % 1.11/1.39 (step @p3643 :rule symm :premises (@p3642)) % 1.11/1.39 (step @p3644 :rule eq_resolve :premises (@p3641 @p3643)) % 1.11/1.39 (step @p3645 :rule cong :premises (@p265 @p3644) :args (@t2848)) % 1.11/1.39 (step @p3646 :rule cong :premises (@p3645) :args (@t2849)) % 1.11/1.39 (step @p3647 :rule nary_cong :premises (@p3646 @p3639) :args (@t2850)) % 1.11/1.39 (step @p3648 :rule cong :premises (@p3647) :args ((forall @t12 @t2850))) % 1.11/1.39 (step @p3649 :rule bool-impl-elim :args (@t2848 @t420)) % 1.11/1.39 (step @p3650 :rule cong :premises (@p3649) :args ((forall @t12 (=> @t2848 @t420)))) % 1.11/1.39 (step @p3651 :rule trans :premises (@p3650 @p3648)) % 1.11/1.39 (step @p3652 :rule refl :args (@t420)) % 1.11/1.39 (step @p3653 :rule eq-symm :args (@t565 tptp.emptyset)) % 1.11/1.39 (step @p3654 :rule cong :premises (@p3653 @p3652) :args (@t590)) % 1.11/1.39 (step @p3655 :rule cong :premises (@p3654) :args (@t591)) % 1.11/1.39 (step @p3656 :rule trans :premises (@p3655 @p3651)) % 1.11/1.39 (step @p3657 :rule refl :args (tptp.setminusSubset1)) % 1.11/1.39 (step @p3658 :rule cong :premises (@p3657 @p3656) :args (@t592)) % 1.11/1.39 (step @p3659 :rule eq_resolve :premises (@p127 @p3658)) % 1.11/1.39 (step @p3660 :rule cong :premises (@p3659 @p3634) :args (@t2851)) % 1.11/1.39 (step @p3661 :rule refl :args ((tptp.subset @t565 @t2))) % 1.11/1.39 (step @p3662 :rule cong :premises (@p3640 @p769) :args (@t1506)) % 1.11/1.39 (step @p3663 :rule trans :premises (@p3662 @p3661)) % 1.11/1.39 (step @p3664 :rule ho_cong :premises (@p1166 @p3640)) % 1.11/1.39 (step @p3665 :rule ho_cong :premises (@p3664 @p769)) % 1.11/1.39 (step @p3666 :rule cong :premises (@p3665 @p3663) :args ((= (_ (_ tptp.subset @t1503) @t2) @t1506))) % 1.11/1.39 (step @p3667 :rule symm :premises (@p3666)) % 1.11/1.39 (step @p3668 :rule refl :args (@t587)) % 1.11/1.39 (step @p3669 :rule eq_resolve :premises (@p3668 @p3667)) % 1.11/1.39 (step @p3670 :rule ho_cong :premises (@p1166 @p3644)) % 1.11/1.39 (step @p3671 :rule ho_cong :premises (@p3670 @p769)) % 1.11/1.39 (step @p3672 :rule trans :premises (@p3671 @p3669)) % 1.11/1.39 (step @p3673 :rule cong :premises (@p3672) :args (@t588)) % 1.11/1.39 (step @p3674 :rule refl :args (tptp.setminusLsub)) % 1.11/1.39 (step @p3675 :rule cong :premises (@p3674 @p3673) :args (@t589)) % 1.11/1.39 (step @p3676 :rule eq_resolve :premises (@p126 @p3675)) % 1.11/1.39 (step @p3677 :rule cong :premises (@p3676 @p3660) :args (@t2852)) % 1.11/1.39 (step @p3678 :rule refl :args ((tptp.in @t4 @t565))) % 1.11/1.39 (step @p3679 :rule cong :premises (@p774 @p3640) :args (@t1508)) % 1.11/1.39 (step @p3680 :rule trans :premises (@p3679 @p3678)) % 1.11/1.39 (step @p3681 :rule ho_cong :premises (@p2910 @p3640)) % 1.11/1.39 (step @p3682 :rule cong :premises (@p3681 @p3680) :args ((= (_ @t5 @t1503) @t1508))) % 1.11/1.39 (step @p3683 :rule symm :premises (@p3682)) % 1.11/1.39 (step @p3684 :rule refl :args (@t566)) % 1.11/1.39 (step @p3685 :rule eq_resolve :premises (@p3684 @p3683)) % 1.11/1.39 (step @p3686 :rule ho_cong :premises (@p2910 @p3644)) % 1.11/1.39 (step @p3687 :rule trans :premises (@p3686 @p3685)) % 1.11/1.39 (step @p3688 :rule cong :premises (@p3687) :args (@t578)) % 1.11/1.39 (step @p3689 :rule nary_cong :premises (@p3514 @p3688) :args (@t2853)) % 1.11/1.39 (step @p3690 :rule cong :premises (@p3689) :args ((forall @t245 @t2853))) % 1.11/1.39 (step @p3691 :rule bool-impl-elim :args (@t6 @t578)) % 1.11/1.40 (step @p3692 :rule cong :premises (@p3691) :args (@t585)) % 1.11/1.40 (step @p3693 :rule trans :premises (@p3692 @p3690)) % 1.11/1.40 (step @p3694 :rule refl :args (tptp.setminusIRneg)) % 1.11/1.40 (step @p3695 :rule cong :premises (@p3694 @p3693) :args (@t586)) % 1.11/1.40 (step @p3696 :rule eq_resolve :premises (@p125 @p3695)) % 1.11/1.40 (step @p3697 :rule cong :premises (@p3696 @p3677) :args (@t2854)) % 1.11/1.40 (step @p3698 :rule nary_cong :premises (@p701 @p3688) :args (@t2855)) % 1.11/1.40 (step @p3699 :rule cong :premises (@p3698) :args ((forall @t245 @t2855))) % 1.11/1.40 (step @p3700 :rule refl :args (@t578)) % 1.11/1.40 (step @p3701 :rule nary_cong :premises (@p3503 @p3700) :args ((or @t2821 @t578))) % 1.11/1.40 (step @p3702 :rule bool-impl-elim :args (@t197 @t578)) % 1.11/1.40 (step @p3703 :rule trans :premises (@p3702 @p3701)) % 1.11/1.40 (step @p3704 :rule cong :premises (@p3703) :args (@t583)) % 1.11/1.40 (step @p3705 :rule trans :premises (@p3704 @p3699)) % 1.11/1.40 (step @p3706 :rule refl :args (tptp.setminusILneg)) % 1.11/1.40 (step @p3707 :rule cong :premises (@p3706 @p3705) :args (@t584)) % 1.11/1.40 (step @p3708 :rule eq_resolve :premises (@p124 @p3707)) % 1.11/1.40 (step @p3709 :rule cong :premises (@p3708 @p3697) :args (@t2856)) % 1.11/1.40 (step @p3710 :rule nary_cong :premises (@p3687 @p3491 @p702) :args (@t2857)) % 1.11/1.40 (step @p3711 :rule cong :premises (@p3710) :args ((forall @t245 @t2857))) % 1.11/1.40 (step @p3712 :rule aci_norm :args ((= (or @t566 @t2858) @t2857))) % 1.11/1.40 (step @p3713 :rule nary_cong :premises (@p3496 @p2710) :args ((or @t2820 @t197))) % 1.11/1.40 (step @p3714 :rule bool-impl-elim :args (@t435 @t197)) % 1.11/1.40 (step @p3715 :rule trans :premises (@p3714 @p3713)) % 1.11/1.40 (step @p3716 :rule nary_cong :premises (@p3684 @p3715) :args ((or @t566 @t436))) % 1.11/1.40 (step @p3717 :rule trans :premises (@p3716 @p3712)) % 1.11/1.40 (step @p3718 :rule refl :args (@t436)) % 1.11/1.40 (step @p3719 :rule bool-double-not-elim :args (@t566)) % 1.11/1.40 (step @p3720 :rule nary_cong :premises (@p3719 @p3718) :args ((or @t2859 @t436))) % 1.11/1.40 (step @p3721 :rule bool-impl-elim :args (@t578 @t436)) % 1.11/1.40 (step @p3722 :rule trans :premises (@p3721 @p3720)) % 1.11/1.40 (step @p3723 :rule trans :premises (@p3722 @p3717)) % 1.11/1.40 (step @p3724 :rule cong :premises (@p3723) :args (@t581)) % 1.11/1.40 (step @p3725 :rule trans :premises (@p3724 @p3711)) % 1.11/1.40 (step @p3726 :rule refl :args (tptp.setminusELneg)) % 1.11/1.40 (step @p3727 :rule cong :premises (@p3726 @p3725) :args (@t582)) % 1.11/1.40 (step @p3728 :rule eq_resolve :premises (@p123 @p3727)) % 1.11/1.40 (step @p3729 :rule cong :premises (@p3728 @p3709) :args (@t2860)) % 1.11/1.40 (step @p3730 :rule nary_cong :premises (@p3687 @p702 @p3491) :args (@t2861)) % 1.11/1.40 (step @p3731 :rule cong :premises (@p3730) :args ((forall @t245 @t2861))) % 1.11/1.40 (step @p3732 :rule aci_norm :args ((= (or @t566 @t2862) @t2861))) % 1.11/1.40 (step @p3733 :rule bool-impl-elim :args (@t7 @t6)) % 1.11/1.40 (step @p3734 :rule nary_cong :premises (@p3684 @p3733) :args ((or @t566 @t191))) % 1.11/1.40 (step @p3735 :rule trans :premises (@p3734 @p3732)) % 1.11/1.40 (step @p3736 :rule refl :args (@t191)) % 1.11/1.40 (step @p3737 :rule nary_cong :premises (@p3719 @p3736) :args ((or @t2859 @t191))) % 1.11/1.40 (step @p3738 :rule bool-impl-elim :args (@t578 @t191)) % 1.11/1.40 (step @p3739 :rule trans :premises (@p3738 @p3737)) % 1.11/1.40 (step @p3740 :rule trans :premises (@p3739 @p3735)) % 1.11/1.40 (step @p3741 :rule cong :premises (@p3740) :args (@t579)) % 1.11/1.40 (step @p3742 :rule trans :premises (@p3741 @p3731)) % 1.11/1.40 (step @p3743 :rule refl :args (tptp.setminusERneg)) % 1.11/1.40 (step @p3744 :rule cong :premises (@p3743 @p3742) :args (@t580)) % 1.11/1.40 (step @p3745 :rule eq_resolve :premises (@p122 @p3744)) % 1.11/1.40 (step @p3746 :rule cong :premises (@p3745 @p3729) :args (@t2863)) % 1.11/1.40 (step @p3747 :rule cong :premises (@p3639) :args (@t439)) % 1.11/1.40 (step @p3748 :rule nary_cong :premises (@p3747 @p3645) :args (@t2864)) % 1.11/1.40 (step @p3749 :rule cong :premises (@p3748) :args ((forall @t12 @t2864))) % 1.11/1.40 (step @p3750 :rule bool-impl-elim :args (@t420 @t2848)) % 1.11/1.40 (step @p3751 :rule cong :premises (@p3750) :args ((forall @t12 (=> @t420 @t2848)))) % 1.11/1.40 (step @p3752 :rule trans :premises (@p3751 @p3749)) % 1.11/1.40 (step @p3753 :rule cong :premises (@p3652 @p3653) :args (@t575)) % 1.11/1.40 (step @p3754 :rule cong :premises (@p3753) :args (@t576)) % 1.11/1.40 (step @p3755 :rule trans :premises (@p3754 @p3752)) % 1.11/1.40 (step @p3756 :rule refl :args (tptp.setminusSubset2)) % 1.11/1.40 (step @p3757 :rule cong :premises (@p3756 @p3755) :args (@t577)) % 1.11/1.40 (step @p3758 :rule eq_resolve :premises (@p121 @p3757)) % 1.11/1.40 (step @p3759 :rule cong :premises (@p3758 @p3746) :args (@t2865)) % 1.11/1.40 (step @p3760 :rule nary_cong :premises (@p3688 @p3514) :args (@t2866)) % 1.11/1.40 (step @p3761 :rule cong :premises (@p3760) :args ((forall @t245 @t2866))) % 1.11/1.40 (step @p3762 :rule bool-impl-elim :args (@t566 @t435)) % 1.11/1.40 (step @p3763 :rule cong :premises (@p3762) :args (@t572)) % 1.11/1.40 (step @p3764 :rule trans :premises (@p3763 @p3761)) % 1.11/1.40 (step @p3765 :rule refl :args (tptp.setminusER)) % 1.11/1.40 (step @p3766 :rule cong :premises (@p3765 @p3764) :args (@t573)) % 1.11/1.40 (step @p3767 :rule eq_resolve :premises (@p120 @p3766)) % 1.11/1.40 (step @p3768 :rule cong :premises (@p3767 @p3759) :args (@t2867)) % 1.11/1.40 (step @p3769 :rule nary_cong :premises (@p3688 @p701) :args (@t2868)) % 1.11/1.40 (step @p3770 :rule cong :premises (@p3769) :args ((forall @t245 @t2868))) % 1.11/1.40 (step @p3771 :rule bool-impl-elim :args (@t566 @t7)) % 1.11/1.40 (step @p3772 :rule cong :premises (@p3771) :args (@t570)) % 1.11/1.40 (step @p3773 :rule trans :premises (@p3772 @p3770)) % 1.11/1.40 (step @p3774 :rule refl :args (tptp.setminusEL)) % 1.11/1.40 (step @p3775 :rule cong :premises (@p3774 @p3773) :args (@t571)) % 1.11/1.40 (step @p3776 :rule eq_resolve :premises (@p119 @p3775)) % 1.11/1.40 (step @p3777 :rule cong :premises (@p3776 @p3768) :args (@t2869)) % 1.11/1.40 (step @p3778 :rule nary_cong :premises (@p702 @p3491 @p3687) :args (@t2870)) % 1.11/1.40 (step @p3779 :rule cong :premises (@p3778) :args ((forall @t245 @t2870))) % 1.11/1.40 (step @p3780 :rule aci_norm :args ((= (or @t197 (or @t6 @t566)) @t2870))) % 1.11/1.40 (step @p3781 :rule nary_cong :premises (@p3496 @p3684) :args ((or @t2820 @t566))) % 1.11/1.40 (step @p3782 :rule bool-impl-elim :args (@t435 @t566)) % 1.11/1.40 (step @p3783 :rule trans :premises (@p3782 @p3781)) % 1.11/1.40 (step @p3784 :rule nary_cong :premises (@p2710 @p3783) :args ((or @t197 @t567))) % 1.11/1.40 (step @p3785 :rule trans :premises (@p3784 @p3780)) % 1.11/1.40 (step @p3786 :rule bool-impl-elim :args (@t7 @t567)) % 1.11/1.40 (step @p3787 :rule trans :premises (@p3786 @p3785)) % 1.11/1.40 (step @p3788 :rule cong :premises (@p3787) :args (@t568)) % 1.11/1.40 (step @p3789 :rule trans :premises (@p3788 @p3779)) % 1.11/1.40 (step @p3790 :rule refl :args (tptp.setminusI)) % 1.11/1.40 (step @p3791 :rule cong :premises (@p3790 @p3789) :args (@t569)) % 1.11/1.40 (step @p3792 :rule eq_resolve :premises (@p118 @p3791)) % 1.11/1.40 (step @p3793 :rule cong :premises (@p3792 @p3777) :args (@t2871)) % 1.11/1.40 (step @p3794 :rule refl :args ((tptp.binunion @t515 @t558))) % 1.11/1.40 (step @p3795 :rule refl :args (@t1519)) % 1.11/1.40 (step @p3796 :rule refl :args (@t1520)) % 1.11/1.40 (step @p3797 :rule cong :premises (@p3796 @p3795) :args (@t1521)) % 1.11/1.40 (step @p3798 :rule trans :premises (@p3797 @p3794)) % 1.11/1.40 (step @p3799 :rule refl :args (tptp.binunion)) % 1.11/1.40 (step @p3800 :rule ho_cong :premises (@p3799 @p3796)) % 1.11/1.40 (step @p3801 :rule ho_cong :premises (@p3800 @p3795)) % 1.11/1.40 (step @p3802 :rule cong :premises (@p3801 @p3798) :args ((= (_ (_ tptp.binunion @t1520) @t1519) @t1521))) % 1.11/1.40 (step @p3803 :rule symm :premises (@p3802)) % 1.11/1.40 (step @p3804 :rule refl :args (@t559)) % 1.11/1.40 (step @p3805 :rule eq_resolve :premises (@p3804 @p3803)) % 1.11/1.40 (step @p3806 :rule refl :args (@t558)) % 1.11/1.40 (step @p3807 :rule cong :premises (@p3806 @p3795) :args ((= @t558 @t1519))) % 1.11/1.40 (step @p3808 :rule symm :premises (@p3807)) % 1.11/1.40 (step @p3809 :rule eq_resolve :premises (@p3806 @p3808)) % 1.11/1.40 (step @p3810 :rule refl :args (@t515)) % 1.11/1.40 (step @p3811 :rule cong :premises (@p3810 @p3796) :args ((= @t515 @t1520))) % 1.11/1.40 (step @p3812 :rule symm :premises (@p3811)) % 1.11/1.40 (step @p3813 :rule eq_resolve :premises (@p3810 @p3812)) % 1.11/1.40 (step @p3814 :rule ho_cong :premises (@p3799 @p3813)) % 1.11/1.40 (step @p3815 :rule ho_cong :premises (@p3814 @p3809)) % 1.11/1.40 (step @p3816 :rule trans :premises (@p3815 @p3805)) % 1.11/1.40 (step @p3817 :rule refl :args ((tptp.binintersect @t2 @t560))) % 1.11/1.40 (step @p3818 :rule refl :args (@t1522)) % 1.11/1.40 (step @p3819 :rule cong :premises (@p769 @p3818) :args (@t1523)) % 1.11/1.40 (step @p3820 :rule trans :premises (@p3819 @p3817)) % 1.11/1.40 (step @p3821 :rule refl :args (@t514)) % 1.11/1.40 (step @p3822 :rule ho_cong :premises (@p3821 @p3818)) % 1.11/1.40 (step @p3823 :rule cong :premises (@p3822 @p3820) :args ((= (_ @t514 @t1522) @t1523))) % 1.11/1.40 (step @p3824 :rule symm :premises (@p3823)) % 1.11/1.40 (step @p3825 :rule refl :args (@t561)) % 1.11/1.40 (step @p3826 :rule eq_resolve :premises (@p3825 @p3824)) % 1.11/1.40 (step @p3827 :rule refl :args (@t560)) % 1.11/1.40 (step @p3828 :rule cong :premises (@p3827 @p3818) :args ((= @t560 @t1522))) % 1.11/1.40 (step @p3829 :rule symm :premises (@p3828)) % 1.11/1.40 (step @p3830 :rule eq_resolve :premises (@p3827 @p3829)) % 1.11/1.40 (step @p3831 :rule ho_cong :premises (@p3821 @p3830)) % 1.11/1.40 (step @p3832 :rule trans :premises (@p3831 @p3826)) % 1.11/1.40 (step @p3833 :rule cong :premises (@p3832 @p3816) :args (@t562)) % 1.11/1.40 (step @p3834 :rule cong :premises (@p3833) :args (@t563)) % 1.11/1.40 (step @p3835 :rule refl :args (tptp.bs114d)) % 1.11/1.40 (step @p3836 :rule cong :premises (@p3835 @p3834) :args (@t564)) % 1.11/1.40 (step @p3837 :rule eq_resolve :premises (@p117 @p3836)) % 1.11/1.40 (step @p3838 :rule cong :premises (@p3837 @p3793) :args (@t2872)) % 1.11/1.40 (step @p3839 :rule cong :premises (@p769 @p3813) :args (@t2873)) % 1.11/1.40 (step @p3840 :rule cong :premises (@p3839) :args (@t2874)) % 1.11/1.40 (step @p3841 :rule nary_cong :premises (@p3840 @p3639) :args (@t2875)) % 1.11/1.40 (step @p3842 :rule cong :premises (@p3841) :args ((forall @t12 @t2875))) % 1.11/1.40 (step @p3843 :rule bool-impl-elim :args (@t2873 @t420)) % 1.11/1.40 (step @p3844 :rule cong :premises (@p3843) :args ((forall @t12 (=> @t2873 @t420)))) % 1.11/1.40 (step @p3845 :rule trans :premises (@p3844 @p3842)) % 1.11/1.40 (step @p3846 :rule eq-symm :args (@t515 @t2)) % 1.11/1.40 (step @p3847 :rule cong :premises (@p3846 @p3652) :args (@t555)) % 1.11/1.40 (step @p3848 :rule cong :premises (@p3847) :args (@t556)) % 1.11/1.40 (step @p3849 :rule trans :premises (@p3848 @p3845)) % 1.11/1.40 (step @p3850 :rule refl :args (tptp.binintersectSubset1)) % 1.11/1.40 (step @p3851 :rule cong :premises (@p3850 @p3849) :args (@t557)) % 1.11/1.40 (step @p3852 :rule eq_resolve :premises (@p116 @p3851)) % 1.11/1.40 (step @p3853 :rule cong :premises (@p3852 @p3838) :args (@t2876)) % 1.11/1.40 (step @p3854 :rule cong :premises (@p1054 @p3813) :args (@t2877)) % 1.11/1.40 (step @p3855 :rule refl :args (@t1528)) % 1.11/1.40 (step @p3856 :rule refl :args (@t425)) % 1.11/1.40 (step @p3857 :rule cong :premises (@p3856 @p3855) :args ((= @t425 @t1528))) % 1.11/1.40 (step @p3858 :rule symm :premises (@p3857)) % 1.11/1.40 (step @p3859 :rule eq_resolve :premises (@p3856 @p3858)) % 1.11/1.40 (step @p3860 :rule cong :premises (@p3859) :args (@t2878)) % 1.11/1.40 (step @p3861 :rule nary_cong :premises (@p3860 @p3854) :args (@t2879)) % 1.11/1.40 (step @p3862 :rule cong :premises (@p3861) :args ((forall @t12 @t2879))) % 1.11/1.40 (step @p3863 :rule bool-impl-elim :args (@t425 @t2877)) % 1.11/1.40 (step @p3864 :rule cong :premises (@p3863) :args ((forall @t12 (=> @t425 @t2877)))) % 1.11/1.40 (step @p3865 :rule trans :premises (@p3864 @p3862)) % 1.11/1.40 (step @p3866 :rule eq-symm :args (@t515 @t1)) % 1.11/1.40 (step @p3867 :rule refl :args (@t425)) % 1.11/1.40 (step @p3868 :rule cong :premises (@p3867 @p3866) :args (@t552)) % 1.11/1.40 (step @p3869 :rule cong :premises (@p3868) :args (@t553)) % 1.11/1.40 (step @p3870 :rule trans :premises (@p3869 @p3865)) % 1.11/1.40 (step @p3871 :rule refl :args (tptp.binintersectSubset4)) % 1.11/1.40 (step @p3872 :rule cong :premises (@p3871 @p3870) :args (@t554)) % 1.11/1.40 (step @p3873 :rule eq_resolve :premises (@p115 @p3872)) % 1.11/1.40 (step @p3874 :rule cong :premises (@p3873 @p3853) :args (@t2880)) % 1.11/1.40 (step @p3875 :rule refl :args ((tptp.subset @t515 @t1))) % 1.11/1.40 (step @p3876 :rule cong :premises (@p3796 @p1054) :args (@t1531)) % 1.11/1.40 (step @p3877 :rule trans :premises (@p3876 @p3875)) % 1.11/1.40 (step @p3878 :rule ho_cong :premises (@p1166 @p3796)) % 1.11/1.40 (step @p3879 :rule ho_cong :premises (@p3878 @p1054)) % 1.11/1.40 (step @p3880 :rule cong :premises (@p3879 @p3877) :args ((= (_ @t2881 @t1) @t1531))) % 1.11/1.40 (step @p3881 :rule symm :premises (@p3880)) % 1.11/1.40 (step @p3882 :rule refl :args (@t549)) % 1.11/1.40 (step @p3883 :rule eq_resolve :premises (@p3882 @p3881)) % 1.11/1.40 (step @p3884 :rule ho_cong :premises (@p1166 @p3813)) % 1.11/1.40 (step @p3885 :rule ho_cong :premises (@p3884 @p1054)) % 1.11/1.40 (step @p3886 :rule trans :premises (@p3885 @p3883)) % 1.11/1.40 (step @p3887 :rule cong :premises (@p3886) :args (@t550)) % 1.11/1.40 (step @p3888 :rule refl :args (tptp.binintersectRsub)) % 1.11/1.40 (step @p3889 :rule cong :premises (@p3888 @p3887) :args (@t551)) % 1.11/1.40 (step @p3890 :rule eq_resolve :premises (@p114 @p3889)) % 1.11/1.40 (step @p3891 :rule cong :premises (@p3890 @p3874) :args (@t2882)) % 1.11/1.40 (step @p3892 :rule cong :premises (@p265 @p3813) :args (@t2883)) % 1.11/1.40 (step @p3893 :rule refl :args (@t1534)) % 1.11/1.40 (step @p3894 :rule nary_cong :premises (@p3893 @p3892) :args (@t2884)) % 1.11/1.40 (step @p3895 :rule cong :premises (@p3894) :args ((forall @t12 @t2884))) % 1.11/1.40 (step @p3896 :rule bool-impl-elim :args (@t1533 @t2883)) % 1.11/1.40 (step @p3897 :rule cong :premises (@p3896) :args ((forall @t12 (=> @t1533 @t2883)))) % 1.11/1.40 (step @p3898 :rule trans :premises (@p3897 @p3895)) % 1.11/1.40 (step @p3899 :rule eq-symm :args (@t515 tptp.emptyset)) % 1.11/1.40 (step @p3900 :rule bool-double-not-elim :args (@t1533)) % 1.11/1.40 (step @p3901 :rule nary_cong :premises (@p702 @p3514) :args (@t2885)) % 1.11/1.40 (step @p3902 :rule cong :premises (@p3901) :args ((forall @t9 @t2885))) % 1.11/1.40 (step @p3903 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.11/1.40 (step @p3904 :rule cong :premises (@p3903) :args (@t2886)) % 1.11/1.40 (step @p3905 :rule trans :premises (@p3904 @p3902)) % 1.11/1.40 (step @p3906 :rule cong :premises (@p3905) :args (@t2887)) % 1.11/1.40 (step @p3907 :rule exists-elim :args ((= @t544 @t2887))) % 1.11/1.40 (step @p3908 :rule trans :premises (@p3907 @p3906)) % 1.11/1.40 (step @p3909 :rule cong :premises (@p3908) :args (@t545)) % 1.11/1.40 (step @p3910 :rule trans :premises (@p3909 @p3900)) % 1.11/1.40 (step @p3911 :rule cong :premises (@p3910 @p3899) :args (@t546)) % 1.11/1.40 (step @p3912 :rule cong :premises (@p3911) :args (@t547)) % 1.11/1.40 (step @p3913 :rule trans :premises (@p3912 @p3898)) % 1.11/1.40 (step @p3914 :rule refl :args (tptp.disjointsetsI1)) % 1.11/1.40 (step @p3915 :rule cong :premises (@p3914 @p3913) :args (@t548)) % 1.11/1.40 (step @p3916 :rule eq_resolve :premises (@p113 @p3915)) % 1.11/1.40 (step @p3917 :rule cong :premises (@p3916 @p3891) :args (@t2888)) % 1.11/1.40 (step @p3918 :rule refl :args ((tptp.in @t4 @t515))) % 1.11/1.40 (step @p3919 :rule cong :premises (@p774 @p3796) :args (@t1536)) % 1.11/1.40 (step @p3920 :rule trans :premises (@p3919 @p3918)) % 1.11/1.40 (step @p3921 :rule ho_cong :premises (@p2910 @p3796)) % 1.11/1.40 (step @p3922 :rule cong :premises (@p3921 @p3920) :args ((= (_ @t5 @t1520) @t1536))) % 1.11/1.40 (step @p3923 :rule symm :premises (@p3922)) % 1.11/1.40 (step @p3924 :rule refl :args (@t516)) % 1.11/1.40 (step @p3925 :rule eq_resolve :premises (@p3924 @p3923)) % 1.11/1.40 (step @p3926 :rule ho_cong :premises (@p2910 @p3813)) % 1.11/1.40 (step @p3927 :rule trans :premises (@p3926 @p3925)) % 1.11/1.40 (step @p3928 :rule cong :premises (@p3927) :args (@t2889)) % 1.11/1.40 (step @p3929 :rule nary_cong :premises (@p3928 @p3491) :args (@t2890)) % 1.11/1.40 (step @p3930 :rule cong :premises (@p3929) :args ((forall @t245 @t2890))) % 1.11/1.40 (step @p3931 :rule bool-impl-elim :args (@t516 @t6)) % 1.11/1.40 (step @p3932 :rule cong :premises (@p3931) :args (@t541)) % 1.11/1.40 (step @p3933 :rule trans :premises (@p3932 @p3930)) % 1.11/1.40 (step @p3934 :rule refl :args (tptp.binintersectER)) % 1.11/1.40 (step @p3935 :rule cong :premises (@p3934 @p3933) :args (@t542)) % 1.11/1.40 (step @p3936 :rule eq_resolve :premises (@p112 @p3935)) % 1.11/1.40 (step @p3937 :rule cong :premises (@p3936 @p3917) :args (@t2891)) % 1.11/1.40 (step @p3938 :rule cong :premises (@p3854) :args (@t2892)) % 1.11/1.40 (step @p3939 :rule nary_cong :premises (@p3938 @p3859) :args (@t2893)) % 1.11/1.40 (step @p3940 :rule cong :premises (@p3939) :args ((forall @t12 @t2893))) % 1.11/1.40 (step @p3941 :rule bool-impl-elim :args (@t2877 @t425)) % 1.11/1.40 (step @p3942 :rule cong :premises (@p3941) :args ((forall @t12 (=> @t2877 @t425)))) % 1.11/1.40 (step @p3943 :rule trans :premises (@p3942 @p3940)) % 1.11/1.40 (step @p3944 :rule cong :premises (@p3866 @p3867) :args (@t538)) % 1.11/1.40 (step @p3945 :rule cong :premises (@p3944) :args (@t539)) % 1.11/1.40 (step @p3946 :rule trans :premises (@p3945 @p3943)) % 1.11/1.40 (step @p3947 :rule refl :args (tptp.binintersectSubset3)) % 1.11/1.40 (step @p3948 :rule cong :premises (@p3947 @p3946) :args (@t540)) % 1.11/1.40 (step @p3949 :rule eq_resolve :premises (@p111 @p3948)) % 1.11/1.40 (step @p3950 :rule cong :premises (@p3949 @p3937) :args (@t2894)) % 1.11/1.40 (step @p3951 :rule nary_cong :premises (@p3747 @p3839) :args (@t2895)) % 1.11/1.40 (step @p3952 :rule cong :premises (@p3951) :args ((forall @t12 @t2895))) % 1.11/1.40 (step @p3953 :rule bool-impl-elim :args (@t420 @t2873)) % 1.11/1.40 (step @p3954 :rule cong :premises (@p3953) :args ((forall @t12 (=> @t420 @t2873)))) % 1.11/1.40 (step @p3955 :rule trans :premises (@p3954 @p3952)) % 1.11/1.40 (step @p3956 :rule cong :premises (@p3652 @p3846) :args (@t534)) % 1.11/1.40 (step @p3957 :rule cong :premises (@p3956) :args (@t535)) % 1.11/1.40 (step @p3958 :rule trans :premises (@p3957 @p3955)) % 1.11/1.40 (step @p3959 :rule refl :args (tptp.binintersectSubset2)) % 1.11/1.40 (step @p3960 :rule cong :premises (@p3959 @p3958) :args (@t536)) % 1.11/1.40 (step @p3961 :rule eq_resolve :premises (@p110 @p3960)) % 1.11/1.40 (step @p3962 :rule cong :premises (@p3961 @p3950) :args (@t2896)) % 1.11/1.40 (step @p3963 :rule refl :args ((tptp.subset @t515 @t2))) % 1.11/1.40 (step @p3964 :rule cong :premises (@p3796 @p769) :args (@t1541)) % 1.11/1.40 (step @p3965 :rule trans :premises (@p3964 @p3963)) % 1.11/1.40 (step @p3966 :rule ho_cong :premises (@p3878 @p769)) % 1.11/1.40 (step @p3967 :rule cong :premises (@p3966 @p3965) :args ((= (_ @t2881 @t2) @t1541))) % 1.11/1.40 (step @p3968 :rule symm :premises (@p3967)) % 1.11/1.40 (step @p3969 :rule refl :args (@t530)) % 1.11/1.40 (step @p3970 :rule eq_resolve :premises (@p3969 @p3968)) % 1.11/1.40 (step @p3971 :rule ho_cong :premises (@p3884 @p769)) % 1.11/1.40 (step @p3972 :rule trans :premises (@p3971 @p3970)) % 1.11/1.40 (step @p3973 :rule cong :premises (@p3972) :args (@t531)) % 1.11/1.40 (step @p3974 :rule refl :args (tptp.binintersectLsub)) % 1.11/1.40 (step @p3975 :rule cong :premises (@p3974 @p3973) :args (@t532)) % 1.11/1.40 (step @p3976 :rule eq_resolve :premises (@p109 @p3975)) % 1.11/1.40 (step @p3977 :rule cong :premises (@p3976 @p3962) :args (@t2897)) % 1.11/1.40 (step @p3978 :rule nary_cong :premises (@p3928 @p701) :args (@t2898)) % 1.11/1.40 (step @p3979 :rule cong :premises (@p3978) :args ((forall @t245 @t2898))) % 1.11/1.40 (step @p3980 :rule bool-impl-elim :args (@t516 @t7)) % 1.11/1.40 (step @p3981 :rule cong :premises (@p3980) :args (@t527)) % 1.11/1.40 (step @p3982 :rule trans :premises (@p3981 @p3979)) % 1.11/1.40 (step @p3983 :rule refl :args (tptp.binintersectEL)) % 1.11/1.40 (step @p3984 :rule cong :premises (@p3983 @p3982) :args (@t528)) % 1.11/1.40 (step @p3985 :rule eq_resolve :premises (@p108 @p3984)) % 1.11/1.40 (step @p3986 :rule cong :premises (@p3985 @p3977) :args (@t2899)) % 1.11/1.40 (step @p3987 :rule refl :args ((tptp.subset @t104 @t515))) % 1.11/1.40 (step @p3988 :rule refl :args (@t104)) % 1.11/1.40 (step @p3989 :rule cong :premises (@p3988 @p3796) :args (@t1544)) % 1.11/1.40 (step @p3990 :rule trans :premises (@p3989 @p3987)) % 1.11/1.40 (step @p3991 :rule refl :args (@t520)) % 1.11/1.40 (step @p3992 :rule ho_cong :premises (@p3991 @p3796)) % 1.11/1.40 (step @p3993 :rule cong :premises (@p3992 @p3990) :args ((= (_ @t520 @t1520) @t1544))) % 1.11/1.40 (step @p3994 :rule symm :premises (@p3993)) % 1.11/1.40 (step @p3995 :rule refl :args (@t521)) % 1.11/1.40 (step @p3996 :rule eq_resolve :premises (@p3995 @p3994)) % 1.11/1.40 (step @p3997 :rule ho_cong :premises (@p3991 @p3813)) % 1.11/1.40 (step @p3998 :rule trans :premises (@p3997 @p3996)) % 1.11/1.40 (step @p3999 :rule refl :args (@t1545)) % 1.11/1.40 (step @p4000 :rule refl :args (@t522)) % 1.11/1.40 (step @p4001 :rule cong :premises (@p4000 @p3999) :args ((= @t522 @t1545))) % 1.11/1.40 (step @p4002 :rule symm :premises (@p4001)) % 1.11/1.40 (step @p4003 :rule eq_resolve :premises (@p4000 @p4002)) % 1.11/1.40 (step @p4004 :rule cong :premises (@p4003) :args (@t2900)) % 1.11/1.40 (step @p4005 :rule refl :args (@t1546)) % 1.11/1.40 (step @p4006 :rule refl :args (@t524)) % 1.11/1.40 (step @p4007 :rule cong :premises (@p4006 @p4005) :args ((= @t524 @t1546))) % 1.11/1.40 (step @p4008 :rule symm :premises (@p4007)) % 1.11/1.40 (step @p4009 :rule eq_resolve :premises (@p4006 @p4008)) % 1.11/1.40 (step @p4010 :rule cong :premises (@p4009) :args (@t2901)) % 1.11/1.40 (step @p4011 :rule nary_cong :premises (@p4010 @p4004 @p3998) :args (@t2902)) % 1.11/1.40 (step @p4012 :rule cong :premises (@p4011) :args ((forall @t455 @t2902))) % 1.11/1.40 (step @p4013 :rule aci_norm :args ((= (or @t2901 (or @t2900 @t521)) @t2902))) % 1.11/1.40 (step @p4014 :rule bool-impl-elim :args (@t522 @t521)) % 1.11/1.40 (step @p4015 :rule refl :args (@t2901)) % 1.11/1.40 (step @p4016 :rule nary_cong :premises (@p4015 @p4014) :args ((or @t2901 @t523))) % 1.11/1.40 (step @p4017 :rule trans :premises (@p4016 @p4013)) % 1.11/1.40 (step @p4018 :rule bool-impl-elim :args (@t524 @t523)) % 1.11/1.40 (step @p4019 :rule trans :premises (@p4018 @p4017)) % 1.11/1.40 (step @p4020 :rule cong :premises (@p4019) :args (@t525)) % 1.11/1.40 (step @p4021 :rule trans :premises (@p4020 @p4012)) % 1.11/1.40 (step @p4022 :rule refl :args (tptp.binintersectSubset5)) % 1.11/1.40 (step @p4023 :rule cong :premises (@p4022 @p4021) :args (@t526)) % 1.11/1.40 (step @p4024 :rule eq_resolve :premises (@p107 @p4023)) % 1.11/1.40 (step @p4025 :rule cong :premises (@p4024 @p3986) :args (@t2903)) % 1.11/1.40 (step @p4026 :rule nary_cong :premises (@p702 @p3514 @p3927) :args (@t2904)) % 1.11/1.40 (step @p4027 :rule cong :premises (@p4026) :args ((forall @t245 @t2904))) % 1.11/1.40 (step @p4028 :rule aci_norm :args ((= (or @t197 (or @t435 @t516)) @t2904))) % 1.11/1.40 (step @p4029 :rule bool-impl-elim :args (@t6 @t516)) % 1.11/1.40 (step @p4030 :rule nary_cong :premises (@p2710 @p4029) :args ((or @t197 @t517))) % 1.11/1.40 (step @p4031 :rule trans :premises (@p4030 @p4028)) % 1.11/1.40 (step @p4032 :rule bool-impl-elim :args (@t7 @t517)) % 1.11/1.40 (step @p4033 :rule trans :premises (@p4032 @p4031)) % 1.11/1.40 (step @p4034 :rule cong :premises (@p4033) :args (@t518)) % 1.11/1.40 (step @p4035 :rule trans :premises (@p4034 @p4027)) % 1.11/1.40 (step @p4036 :rule refl :args (tptp.binintersectI)) % 1.11/1.40 (step @p4037 :rule cong :premises (@p4036 @p4035) :args (@t519)) % 1.11/1.40 (step @p4038 :rule eq_resolve :premises (@p106 @p4037)) % 1.11/1.40 (step @p4039 :rule cong :premises (@p4038 @p4025) :args (@t2905)) % 1.11/1.40 (step @p4040 :rule refl :args ((tptp.subset @t1 @t492))) % 1.11/1.40 (step @p4041 :rule cong :premises (@p1054 @p3066) :args (@t1549)) % 1.11/1.40 (step @p4042 :rule trans :premises (@p4041 @p4040)) % 1.11/1.40 (step @p4043 :rule refl :args (@t424)) % 1.11/1.40 (step @p4044 :rule ho_cong :premises (@p4043 @p3066)) % 1.11/1.40 (step @p4045 :rule cong :premises (@p4044 @p4042) :args ((= (_ @t424 @t1436) @t1549))) % 1.11/1.40 (step @p4046 :rule symm :premises (@p4045)) % 1.11/1.40 (step @p4047 :rule refl :args (@t511)) % 1.11/1.40 (step @p4048 :rule eq_resolve :premises (@p4047 @p4046)) % 1.11/1.40 (step @p4049 :rule ho_cong :premises (@p4043 @p3092)) % 1.11/1.40 (step @p4050 :rule trans :premises (@p4049 @p4048)) % 1.11/1.40 (step @p4051 :rule cong :premises (@p4050) :args (@t512)) % 1.11/1.40 (step @p4052 :rule refl :args (tptp.binunionRsub)) % 1.11/1.40 (step @p4053 :rule cong :premises (@p4052 @p4051) :args (@t513)) % 1.11/1.40 (step @p4054 :rule eq_resolve :premises (@p105 @p4053)) % 1.11/1.40 (step @p4055 :rule cong :premises (@p4054 @p4039) :args (@t2906)) % 1.11/1.40 (step @p4056 :rule refl :args ((tptp.subset @t2 @t492))) % 1.11/1.40 (step @p4057 :rule cong :premises (@p769 @p3066) :args (@t1551)) % 1.11/1.40 (step @p4058 :rule trans :premises (@p4057 @p4056)) % 1.11/1.40 (step @p4059 :rule ho_cong :premises (@p2864 @p3066)) % 1.11/1.40 (step @p4060 :rule cong :premises (@p4059 @p4058) :args ((= (_ @t419 @t1436) @t1551))) % 1.11/1.40 (step @p4061 :rule symm :premises (@p4060)) % 1.11/1.40 (step @p4062 :rule refl :args (@t508)) % 1.11/1.40 (step @p4063 :rule eq_resolve :premises (@p4062 @p4061)) % 1.11/1.40 (step @p4064 :rule ho_cong :premises (@p2864 @p3092)) % 1.11/1.40 (step @p4065 :rule trans :premises (@p4064 @p4063)) % 1.11/1.40 (step @p4066 :rule cong :premises (@p4065) :args (@t509)) % 1.11/1.40 (step @p4067 :rule refl :args (tptp.binunionLsub)) % 1.11/1.40 (step @p4068 :rule cong :premises (@p4067 @p4066) :args (@t510)) % 1.11/1.40 (step @p4069 :rule eq_resolve :premises (@p104 @p4068)) % 1.11/1.40 (step @p4070 :rule cong :premises (@p4069 @p4055) :args (@t2907)) % 1.11/1.40 (step @p4071 :rule refl :args ((tptp.in @t4 @t492))) % 1.11/1.40 (step @p4072 :rule cong :premises (@p774 @p3066) :args (@t1553)) % 1.11/1.40 (step @p4073 :rule trans :premises (@p4072 @p4071)) % 1.11/1.40 (step @p4074 :rule ho_cong :premises (@p2910 @p3066)) % 1.11/1.40 (step @p4075 :rule cong :premises (@p4074 @p4073) :args ((= (_ @t5 @t1436) @t1553))) % 1.11/1.40 (step @p4076 :rule symm :premises (@p4075)) % 1.11/1.40 (step @p4077 :rule refl :args (@t493)) % 1.11/1.40 (step @p4078 :rule eq_resolve :premises (@p4077 @p4076)) % 1.11/1.40 (step @p4079 :rule ho_cong :premises (@p2910 @p3092)) % 1.11/1.40 (step @p4080 :rule trans :premises (@p4079 @p4078)) % 1.11/1.40 (step @p4081 :rule cong :premises (@p4080) :args (@t2908)) % 1.11/1.40 (step @p4082 :rule nary_cong :premises (@p4081 @p701 @p3491) :args (@t2909)) % 1.11/1.40 (step @p4083 :rule cong :premises (@p4082) :args ((forall @t245 @t2909))) % 1.11/1.40 (step @p4084 :rule aci_norm :args ((= (or @t2908 @t505) @t2909))) % 1.11/1.40 (step @p4085 :rule bool-impl-elim :args (@t493 @t505)) % 1.11/1.40 (step @p4086 :rule trans :premises (@p4085 @p4084)) % 1.11/1.40 (step @p4087 :rule cong :premises (@p4086) :args (@t506)) % 1.11/1.40 (step @p4088 :rule trans :premises (@p4087 @p4083)) % 1.11/1.40 (step @p4089 :rule refl :args (tptp.binunionE)) % 1.11/1.40 (step @p4090 :rule cong :premises (@p4089 @p4088) :args (@t507)) % 1.11/1.40 (step @p4091 :rule eq_resolve :premises (@p103 @p4090)) % 1.11/1.40 (step @p4092 :rule cong :premises (@p4091 @p4070) :args (@t2910)) % 1.11/1.40 (step @p4093 :rule aci_norm :args ((= (and @t1493 true) @t1493))) % 1.11/1.40 (step @p4094 :rule nary_cong :premises (@p3573 @p3572) :args (@t2911)) % 1.11/1.40 (step @p4095 :rule trans :premises (@p4094 @p4093)) % 1.11/1.40 (step @p4096 :rule aci_norm :args ((= (and @t1176 true) @t1176))) % 1.11/1.40 (step @p4097 :rule nary_cong :premises (@p1725 @p3572) :args (@t2912)) % 1.11/1.40 (step @p4098 :rule trans :premises (@p4097 @p4096)) % 1.11/1.40 (step @p4099 :rule refl :args (@t1554)) % 1.11/1.40 (step @p4100 :rule nary_cong :premises (@p4099 @p4098 @p4095) :args (@t2913)) % 1.11/1.40 (step @p4101 :rule aci_norm :args ((= @t2914 @t2913))) % 1.11/1.40 (step @p4102 :rule trans :premises (@p4101 @p4100)) % 1.11/1.40 (step @p4103 :rule cong :premises (@p4102) :args ((forall @t245 @t2914))) % 1.11/1.40 (step @p4104 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2839 @t1554 @t2916 @t2915 @t173)) @t2914))) % 1.11/1.40 (step @p4105 :rule refl :args (@t2915)) % 1.11/1.40 (step @p4106 :rule refl :args (@t2916)) % 1.11/1.40 (step @p4107 :rule refl :args (@t1554)) % 1.11/1.40 (step @p4108 :rule nary_cong :premises (@p3592 @p4107 @p4106 @p4105 @p3584) :args (@t2917)) % 1.11/1.40 (step @p4109 :rule aci_norm :args ((= @t2918 @t2917))) % 1.11/1.40 (step @p4110 :rule trans :premises (@p4109 @p4108)) % 1.11/1.40 (step @p4111 :rule cong :premises (@p4110) :args (@t2919)) % 1.11/1.40 (step @p4112 :rule trans :premises (@p4111 @p4104)) % 1.11/1.40 (step @p4113 :rule cong :premises (@p4112) :args (@t2920)) % 1.11/1.40 (step @p4114 :rule quant-merge-prenex :args ((= @t2920 (forall @t502 @t2918)))) % 1.11/1.40 (step @p4115 :rule symm :premises (@p4114)) % 1.11/1.40 (step @p4116 :rule trans :premises (@p4115 @p4113)) % 1.11/1.40 (step @p4117 :rule trans :premises (@p4116 @p4103)) % 1.11/1.40 (step @p4118 :rule nary_cong :premises (@p3491 @p3599) :args (@t2845)) % 1.11/1.40 (step @p4119 :rule nary_cong :premises (@p701 @p3599) :args (@t2921)) % 1.11/1.40 (step @p4120 :rule nary_cong :premises (@p4081 @p4119 @p4118 @p3584) :args (@t2922)) % 1.11/1.40 (step @p4121 :rule cong :premises (@p4120) :args ((forall @t502 @t2922))) % 1.11/1.40 (step @p4122 :rule trans :premises (@p4121 @p4117)) % 1.11/1.40 (step @p4123 :rule aci_norm :args ((= (or @t2908 @t2923) @t2922))) % 1.11/1.40 (step @p4124 :rule aci_norm :args ((= (or @t2921 (or @t2845 @t173)) @t2923))) % 1.11/1.40 (step @p4125 :rule nary_cong :premises (@p3607 @p3584) :args ((or @t2846 @t173))) % 1.11/1.40 (step @p4126 :rule bool-impl-elim :args (@t498 @t173)) % 1.11/1.40 (step @p4127 :rule trans :premises (@p4126 @p4125)) % 1.11/1.40 (step @p4128 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.11/1.40 (step @p4129 :rule nary_cong :premises (@p4128 @p4127) :args ((or (not @t500) @t499))) % 1.11/1.40 (step @p4130 :rule trans :premises (@p4129 @p4124)) % 1.11/1.40 (step @p4131 :rule bool-impl-elim :args (@t500 @t499)) % 1.11/1.40 (step @p4132 :rule trans :premises (@p4131 @p4130)) % 1.11/1.40 (step @p4133 :rule refl :args (@t2908)) % 1.11/1.40 (step @p4134 :rule nary_cong :premises (@p4133 @p4132) :args ((or @t2908 @t501))) % 1.11/1.40 (step @p4135 :rule trans :premises (@p4134 @p4123)) % 1.11/1.40 (step @p4136 :rule bool-impl-elim :args (@t493 @t501)) % 1.11/1.40 (step @p4137 :rule trans :premises (@p4136 @p4135)) % 1.11/1.40 (step @p4138 :rule cong :premises (@p4137) :args (@t503)) % 1.11/1.40 (step @p4139 :rule trans :premises (@p4138 @p4122)) % 1.11/1.40 (step @p4140 :rule refl :args (tptp.binunionEcases)) % 1.11/1.40 (step @p4141 :rule cong :premises (@p4140 @p4139) :args (@t504)) % 1.11/1.40 (step @p4142 :rule eq_resolve :premises (@p102 @p4141)) % 1.11/1.40 (step @p4143 :rule cong :premises (@p4142 @p4092) :args (@t2924)) % 1.11/1.40 (step @p4144 :rule nary_cong :premises (@p3514 @p4080) :args (@t2925)) % 1.11/1.40 (step @p4145 :rule cong :premises (@p4144) :args ((forall @t245 @t2925))) % 1.11/1.40 (step @p4146 :rule bool-impl-elim :args (@t6 @t493)) % 1.11/1.40 (step @p4147 :rule cong :premises (@p4146) :args (@t496)) % 1.11/1.40 (step @p4148 :rule trans :premises (@p4147 @p4145)) % 1.11/1.40 (step @p4149 :rule refl :args (tptp.binunionIR)) % 1.11/1.40 (step @p4150 :rule cong :premises (@p4149 @p4148) :args (@t497)) % 1.11/1.40 (step @p4151 :rule eq_resolve :premises (@p101 @p4150)) % 1.11/1.40 (step @p4152 :rule cong :premises (@p4151 @p4143) :args (@t2926)) % 1.11/1.40 (step @p4153 :rule eq-symm :args (@t1489 tptp.upairset2IR)) % 1.11/1.40 (step @p4154 :rule refl :args (tptp.upairset2IR)) % 1.11/1.40 (step @p4155 :rule cong :premises (@p3464 @p4154) :args ((= @t302 tptp.upairset2IR))) % 1.11/1.40 (step @p4156 :rule trans :premises (@p4155 @p4153)) % 1.11/1.40 (step @p4157 :rule eq-symm :args (tptp.upairset2IR @t302)) % 1.11/1.40 (step @p4158 :rule trans :premises (@p4157 @p4156)) % 1.11/1.40 (step @p4159 :rule eq_resolve :premises (@p100 @p4158)) % 1.11/1.40 (step @p4160 :rule cong :premises (@p4159 @p4152) :args (@t2927)) % 1.11/1.40 (step @p4161 :rule nary_cong :premises (@p702 @p4080) :args (@t2928)) % 1.11/1.40 (step @p4162 :rule cong :premises (@p4161) :args ((forall @t245 @t2928))) % 1.11/1.40 (step @p4163 :rule bool-impl-elim :args (@t7 @t493)) % 1.11/1.40 (step @p4164 :rule cong :premises (@p4163) :args (@t494)) % 1.11/1.40 (step @p4165 :rule trans :premises (@p4164 @p4162)) % 1.11/1.40 (step @p4166 :rule refl :args (tptp.binunionIL)) % 1.11/1.40 (step @p4167 :rule cong :premises (@p4166 @p4165) :args (@t495)) % 1.11/1.40 (step @p4168 :rule eq_resolve :premises (@p99 @p4167)) % 1.11/1.40 (step @p4169 :rule cong :premises (@p4168 @p4160) :args (@t2929)) % 1.11/1.40 (step @p4170 :rule lambda-elim :args ((= @t2930 @t143))) % 1.11/1.40 (step @p4171 :rule cong :premises (@p753 @p4170) :args (@t2931)) % 1.11/1.40 (step @p4172 :rule cong :premises (@p4171 @p753) :args (@t2932)) % 1.11/1.40 (step @p4173 :rule cong :premises (@p4172) :args ((forall @t309 @t2932))) % 1.11/1.40 (step @p4174 :rule refl :args ((tptp.subset @t304 @t2))) % 1.11/1.40 (step @p4175 :rule refl :args (@t2101)) % 1.11/1.40 (step @p4176 :rule cong :premises (@p691) :args (@t2930)) % 1.11/1.40 (step @p4177 :rule cong :premises (@p769 @p4176) :args (@t2931)) % 1.11/1.40 (step @p4178 :rule trans :premises (@p4177 @p4175)) % 1.11/1.40 (step @p4179 :rule cong :premises (@p4178 @p769) :args (@t2932)) % 1.11/1.40 (step @p4180 :rule trans :premises (@p4179 @p4174)) % 1.11/1.40 (step @p4181 :rule ho_cong :premises (@p1166 @p4178)) % 1.11/1.40 (step @p4182 :rule ho_cong :premises (@p4181 @p769)) % 1.11/1.40 (step @p4183 :rule cong :premises (@p4182 @p4180) :args ((= (_ (_ tptp.subset @t2931) @t2) @t2932))) % 1.11/1.40 (step @p4184 :rule symm :premises (@p4183)) % 1.11/1.40 (step @p4185 :rule refl :args (@t489)) % 1.11/1.40 (step @p4186 :rule eq_resolve :premises (@p4185 @p4184)) % 1.11/1.40 (step @p4187 :rule ho_cong :premises (@p815 @p4176)) % 1.11/1.40 (step @p4188 :rule cong :premises (@p4187 @p4178) :args ((= (_ @t155 @t2930) @t2931))) % 1.11/1.40 (step @p4189 :rule symm :premises (@p4188)) % 1.11/1.40 (step @p4190 :rule refl :args (@t304)) % 1.11/1.40 (step @p4191 :rule eq_resolve :premises (@p4190 @p4189)) % 1.11/1.40 (step @p4192 :rule cong :premises (@p695) :args (@t145)) % 1.11/1.40 (step @p4193 :rule ho_cong :premises (@p815 @p4192)) % 1.11/1.40 (step @p4194 :rule trans :premises (@p4193 @p4191)) % 1.11/1.40 (step @p4195 :rule ho_cong :premises (@p1166 @p4194)) % 1.11/1.40 (step @p4196 :rule ho_cong :premises (@p4195 @p769)) % 1.11/1.40 (step @p4197 :rule trans :premises (@p4196 @p4186)) % 1.11/1.40 (step @p4198 :rule cong :premises (@p4197) :args (@t490)) % 1.11/1.40 (step @p4199 :rule trans :premises (@p4198 @p4173)) % 1.11/1.40 (step @p4200 :rule refl :args (tptp.sepSubset)) % 1.11/1.40 (step @p4201 :rule cong :premises (@p4200 @p4199) :args (@t491)) % 1.11/1.40 (step @p4202 :rule eq_resolve :premises (@p98 @p4201)) % 1.11/1.40 (step @p4203 :rule cong :premises (@p4202 @p4169) :args (@t2933)) % 1.11/1.40 (step @p4204 :rule refl :args (@t1474)) % 1.11/1.40 (step @p4205 :rule cong :premises (@p4171 @p4204) :args (@t2934)) % 1.11/1.40 (step @p4206 :rule cong :premises (@p4205) :args ((forall @t309 @t2934))) % 1.11/1.40 (step @p4207 :rule refl :args ((tptp.in @t304 @t33))) % 1.11/1.40 (step @p4208 :rule cong :premises (@p4178 @p3336) :args (@t2934)) % 1.11/1.40 (step @p4209 :rule trans :premises (@p4208 @p4207)) % 1.11/1.40 (step @p4210 :rule ho_cong :premises (@p983 @p4178)) % 1.11/1.40 (step @p4211 :rule ho_cong :premises (@p4210 @p3336)) % 1.11/1.40 (step @p4212 :rule cong :premises (@p4211 @p4209) :args ((= (_ (_ tptp.in @t2931) @t1474) @t2934))) % 1.11/1.40 (step @p4213 :rule symm :premises (@p4212)) % 1.11/1.40 (step @p4214 :rule refl :args (@t486)) % 1.11/1.40 (step @p4215 :rule eq_resolve :premises (@p4214 @p4213)) % 1.11/1.40 (step @p4216 :rule ho_cong :premises (@p983 @p4194)) % 1.11/1.40 (step @p4217 :rule ho_cong :premises (@p4216 @p3347)) % 1.11/1.40 (step @p4218 :rule trans :premises (@p4217 @p4215)) % 1.11/1.40 (step @p4219 :rule cong :premises (@p4218) :args (@t487)) % 1.11/1.40 (step @p4220 :rule trans :premises (@p4219 @p4206)) % 1.11/1.40 (step @p4221 :rule refl :args (tptp.sepInPowerset)) % 1.11/1.40 (step @p4222 :rule cong :premises (@p4221 @p4220) :args (@t488)) % 1.11/1.40 (step @p4223 :rule eq_resolve :premises (@p97 @p4222)) % 1.11/1.40 (step @p4224 :rule cong :premises (@p4223 @p4203) :args (@t2935)) % 1.11/1.40 (step @p4225 :rule refl :args ((tptp.subset @t33 @t391))) % 1.11/1.40 (step @p4226 :rule refl :args (@t1560)) % 1.11/1.40 (step @p4227 :rule cong :premises (@p3336 @p4226) :args (@t1561)) % 1.11/1.40 (step @p4228 :rule trans :premises (@p4227 @p4225)) % 1.11/1.40 (step @p4229 :rule ho_cong :premises (@p1166 @p3336)) % 1.11/1.40 (step @p4230 :rule ho_cong :premises (@p4229 @p4226)) % 1.11/1.40 (step @p4231 :rule cong :premises (@p4230 @p4228) :args ((= (_ (_ tptp.subset @t1474) @t1560) @t1561))) % 1.11/1.40 (step @p4232 :rule symm :premises (@p4231)) % 1.11/1.40 (step @p4233 :rule refl :args (@t483)) % 1.11/1.40 (step @p4234 :rule eq_resolve :premises (@p4233 @p4232)) % 1.11/1.40 (step @p4235 :rule refl :args (@t391)) % 1.11/1.40 (step @p4236 :rule cong :premises (@p4235 @p4226) :args ((= @t391 @t1560))) % 1.11/1.40 (step @p4237 :rule symm :premises (@p4236)) % 1.11/1.40 (step @p4238 :rule eq_resolve :premises (@p4235 @p4237)) % 1.11/1.40 (step @p4239 :rule ho_cong :premises (@p1166 @p3347)) % 1.11/1.40 (step @p4240 :rule ho_cong :premises (@p4239 @p4238)) % 1.11/1.40 (step @p4241 :rule trans :premises (@p4240 @p4234)) % 1.11/1.40 (step @p4242 :rule nary_cong :premises (@p3747 @p4241) :args (@t2936)) % 1.11/1.40 (step @p4243 :rule cong :premises (@p4242) :args ((forall @t12 @t2936))) % 1.11/1.40 (step @p4244 :rule bool-impl-elim :args (@t420 @t483)) % 1.11/1.40 (step @p4245 :rule cong :premises (@p4244) :args (@t484)) % 1.11/1.40 (step @p4246 :rule trans :premises (@p4245 @p4243)) % 1.11/1.40 (step @p4247 :rule refl :args (tptp.powersetsubset)) % 1.11/1.40 (step @p4248 :rule cong :premises (@p4247 @p4246) :args (@t485)) % 1.11/1.40 (step @p4249 :rule eq_resolve :premises (@p96 @p4248)) % 1.11/1.40 (step @p4250 :rule cong :premises (@p4249 @p4224) :args (@t2937)) % 1.11/1.40 (step @p4251 :rule refl :args ((tptp.in @t2 @t33))) % 1.11/1.40 (step @p4252 :rule cong :premises (@p769 @p3336) :args (@t1563)) % 1.11/1.40 (step @p4253 :rule trans :premises (@p4252 @p4251)) % 1.11/1.40 (step @p4254 :rule refl :args (@t466)) % 1.11/1.40 (step @p4255 :rule ho_cong :premises (@p4254 @p3336)) % 1.11/1.40 (step @p4256 :rule cong :premises (@p4255 @p4253) :args ((= (_ @t466 @t1474) @t1563))) % 1.11/1.40 (step @p4257 :rule symm :premises (@p4256)) % 1.11/1.40 (step @p4258 :rule refl :args (@t480)) % 1.11/1.40 (step @p4259 :rule eq_resolve :premises (@p4258 @p4257)) % 1.11/1.40 (step @p4260 :rule ho_cong :premises (@p4254 @p3347)) % 1.11/1.40 (step @p4261 :rule trans :premises (@p4260 @p4259)) % 1.11/1.40 (step @p4262 :rule cong :premises (@p4261) :args (@t481)) % 1.11/1.40 (step @p4263 :rule refl :args (tptp.inPowerset)) % 1.11/1.40 (step @p4264 :rule cong :premises (@p4263 @p4262) :args (@t482)) % 1.11/1.40 (step @p4265 :rule eq_resolve :premises (@p95 @p4264)) % 1.11/1.40 (step @p4266 :rule cong :premises (@p4265 @p4250) :args (@t2938)) % 1.11/1.40 (step @p4267 :rule refl :args ((tptp.in @t1 @t33))) % 1.11/1.40 (step @p4268 :rule cong :premises (@p1054 @p3336) :args (@t1565)) % 1.11/1.40 (step @p4269 :rule trans :premises (@p4268 @p4267)) % 1.11/1.40 (step @p4270 :rule refl :args (@t34)) % 1.11/1.40 (step @p4271 :rule ho_cong :premises (@p4270 @p3336)) % 1.11/1.40 (step @p4272 :rule cong :premises (@p4271 @p4269) :args ((= (_ @t34 @t1474) @t1565))) % 1.11/1.40 (step @p4273 :rule symm :premises (@p4272)) % 1.11/1.40 (step @p4274 :rule refl :args (@t35)) % 1.11/1.40 (step @p4275 :rule eq_resolve :premises (@p4274 @p4273)) % 1.11/1.40 (step @p4276 :rule ho_cong :premises (@p4270 @p3347)) % 1.11/1.40 (step @p4277 :rule trans :premises (@p4276 @p4275)) % 1.11/1.40 (step @p4278 :rule cong :premises (@p4277) :args (@t2939)) % 1.11/1.40 (step @p4279 :rule nary_cong :premises (@p4278 @p3859) :args (@t2940)) % 1.11/1.40 (step @p4280 :rule cong :premises (@p4279) :args ((forall @t12 @t2940))) % 1.11/1.40 (step @p4281 :rule bool-impl-elim :args (@t35 @t425)) % 1.11/1.40 (step @p4282 :rule cong :premises (@p4281) :args (@t478)) % 1.11/1.40 (step @p4283 :rule trans :premises (@p4282 @p4280)) % 1.11/1.40 (step @p4284 :rule refl :args (tptp.powersetE1)) % 1.11/1.40 (step @p4285 :rule cong :premises (@p4284 @p4283) :args (@t479)) % 1.11/1.40 (step @p4286 :rule eq_resolve :premises (@p94 @p4285)) % 1.11/1.40 (step @p4287 :rule cong :premises (@p4286 @p4266) :args (@t2941)) % 1.11/1.40 (step @p4288 :rule nary_cong :premises (@p3860 @p4277) :args (@t2942)) % 1.11/1.40 (step @p4289 :rule cong :premises (@p4288) :args ((forall @t12 @t2942))) % 1.11/1.40 (step @p4290 :rule bool-impl-elim :args (@t425 @t35)) % 1.11/1.40 (step @p4291 :rule cong :premises (@p4290) :args (@t476)) % 1.11/1.40 (step @p4292 :rule trans :premises (@p4291 @p4289)) % 1.11/1.40 (step @p4293 :rule refl :args (tptp.powersetI1)) % 1.11/1.40 (step @p4294 :rule cong :premises (@p4293 @p4292) :args (@t477)) % 1.11/1.40 (step @p4295 :rule eq_resolve :premises (@p93 @p4294)) % 1.11/1.40 (step @p4296 :rule cong :premises (@p4295 @p4287) :args (@t2943)) % 1.11/1.40 (step @p4297 :rule refl :args (@t196)) % 1.11/1.40 (step @p4298 :rule refl :args (@t1569)) % 1.11/1.40 (step @p4299 :rule refl :args (@t473)) % 1.11/1.40 (step @p4300 :rule cong :premises (@p4299 @p4298) :args ((= @t473 @t1569))) % 1.11/1.40 (step @p4301 :rule symm :premises (@p4300)) % 1.11/1.40 (step @p4302 :rule eq_resolve :premises (@p4299 @p4301)) % 1.11/1.40 (step @p4303 :rule cong :premises (@p4302) :args (@t2944)) % 1.11/1.40 (step @p4304 :rule nary_cong :premises (@p4303 @p4297) :args (@t2945)) % 1.11/1.40 (step @p4305 :rule cong :premises (@p4304) :args ((forall @t64 @t2945))) % 1.11/1.40 (step @p4306 :rule bool-impl-elim :args (@t473 @t196)) % 1.11/1.40 (step @p4307 :rule cong :premises (@p4306) :args (@t474)) % 1.11/1.40 (step @p4308 :rule trans :premises (@p4307 @p4305)) % 1.11/1.40 (step @p4309 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.11/1.40 (step @p4310 :rule cong :premises (@p4309 @p4308) :args (@t475)) % 1.11/1.40 (step @p4311 :rule eq_resolve :premises (@p92 @p4310)) % 1.11/1.40 (step @p4312 :rule cong :premises (@p4311 @p4296) :args (@t2946)) % 1.11/1.40 (step @p4313 :rule refl :args (@t3)) % 1.11/1.40 (step @p4314 :rule nary_cong :premises (@p3747 @p3860 @p4313) :args (@t2947)) % 1.11/1.40 (step @p4315 :rule cong :premises (@p4314) :args ((forall @t12 @t2947))) % 1.11/1.40 (step @p4316 :rule aci_norm :args ((= (or @t439 (or @t2878 @t3)) @t2947))) % 1.11/1.40 (step @p4317 :rule bool-impl-elim :args (@t425 @t3)) % 1.11/1.40 (step @p4318 :rule refl :args (@t439)) % 1.11/1.40 (step @p4319 :rule nary_cong :premises (@p4318 @p4317) :args ((or @t439 @t470))) % 1.11/1.40 (step @p4320 :rule trans :premises (@p4319 @p4316)) % 1.11/1.40 (step @p4321 :rule bool-impl-elim :args (@t420 @t470)) % 1.11/1.40 (step @p4322 :rule trans :premises (@p4321 @p4320)) % 1.11/1.40 (step @p4323 :rule cong :premises (@p4322) :args (@t471)) % 1.11/1.40 (step @p4324 :rule trans :premises (@p4323 @p4315)) % 1.11/1.40 (step @p4325 :rule refl :args (tptp.setextsub)) % 1.11/1.40 (step @p4326 :rule cong :premises (@p4325 @p4324) :args (@t472)) % 1.11/1.40 (step @p4327 :rule eq_resolve :premises (@p91 @p4326)) % 1.11/1.40 (step @p4328 :rule cong :premises (@p4327 @p4312) :args (@t2948)) % 1.11/1.40 (step @p4329 :rule refl :args ((tptp.in @t2 @t391))) % 1.11/1.40 (step @p4330 :rule cong :premises (@p769 @p4226) :args (@t1572)) % 1.11/1.40 (step @p4331 :rule trans :premises (@p4330 @p4329)) % 1.11/1.40 (step @p4332 :rule ho_cong :premises (@p4254 @p4226)) % 1.11/1.40 (step @p4333 :rule cong :premises (@p4332 @p4331) :args ((= (_ @t466 @t1560) @t1572))) % 1.11/1.40 (step @p4334 :rule symm :premises (@p4333)) % 1.11/1.40 (step @p4335 :rule refl :args (@t467)) % 1.11/1.40 (step @p4336 :rule eq_resolve :premises (@p4335 @p4334)) % 1.11/1.40 (step @p4337 :rule ho_cong :premises (@p4254 @p4238)) % 1.11/1.40 (step @p4338 :rule trans :premises (@p4337 @p4336)) % 1.11/1.40 (step @p4339 :rule nary_cong :premises (@p3747 @p4338) :args (@t2949)) % 1.11/1.40 (step @p4340 :rule cong :premises (@p4339) :args ((forall @t12 @t2949))) % 1.11/1.40 (step @p4341 :rule bool-impl-elim :args (@t420 @t467)) % 1.11/1.40 (step @p4342 :rule cong :premises (@p4341) :args (@t468)) % 1.11/1.40 (step @p4343 :rule trans :premises (@p4342 @p4340)) % 1.11/1.40 (step @p4344 :rule refl :args (tptp.subset2powerset)) % 1.11/1.40 (step @p4345 :rule cong :premises (@p4344 @p4343) :args (@t469)) % 1.11/1.40 (step @p4346 :rule eq_resolve :premises (@p90 @p4345)) % 1.11/1.40 (step @p4347 :rule cong :premises (@p4346 @p4328) :args (@t2950)) % 1.11/1.40 (step @p4348 :rule refl :args ((tptp.subset @t2 @t462))) % 1.11/1.40 (step @p4349 :rule refl :args (@t1574)) % 1.11/1.40 (step @p4350 :rule cong :premises (@p769 @p4349) :args (@t1575)) % 1.11/1.40 (step @p4351 :rule trans :premises (@p4350 @p4348)) % 1.11/1.40 (step @p4352 :rule ho_cong :premises (@p2864 @p4349)) % 1.11/1.40 (step @p4353 :rule cong :premises (@p4352 @p4351) :args ((= (_ @t419 @t1574) @t1575))) % 1.11/1.40 (step @p4354 :rule symm :premises (@p4353)) % 1.11/1.40 (step @p4355 :rule refl :args (@t463)) % 1.11/1.40 (step @p4356 :rule eq_resolve :premises (@p4355 @p4354)) % 1.11/1.40 (step @p4357 :rule refl :args (@t462)) % 1.11/1.40 (step @p4358 :rule cong :premises (@p4357 @p4349) :args ((= @t462 @t1574))) % 1.11/1.40 (step @p4359 :rule symm :premises (@p4358)) % 1.11/1.40 (step @p4360 :rule eq_resolve :premises (@p4357 @p4359)) % 1.11/1.40 (step @p4361 :rule ho_cong :premises (@p2864 @p4360)) % 1.11/1.40 (step @p4362 :rule trans :premises (@p4361 @p4356)) % 1.11/1.40 (step @p4363 :rule nary_cong :premises (@p3747 @p4362) :args (@t2951)) % 1.11/1.40 (step @p4364 :rule cong :premises (@p4363) :args ((forall @t249 @t2951))) % 1.11/1.40 (step @p4365 :rule bool-impl-elim :args (@t420 @t463)) % 1.11/1.40 (step @p4366 :rule cong :premises (@p4365) :args (@t464)) % 1.11/1.40 (step @p4367 :rule trans :premises (@p4366 @p4364)) % 1.11/1.40 (step @p4368 :rule refl :args (tptp.setadjoinSub2)) % 1.11/1.40 (step @p4369 :rule cong :premises (@p4368 @p4367) :args (@t465)) % 1.11/1.40 (step @p4370 :rule eq_resolve :premises (@p89 @p4369)) % 1.11/1.40 (step @p4371 :rule cong :premises (@p4370 @p4347) :args (@t2952)) % 1.11/1.40 (step @p4372 :rule refl :args ((tptp.subset @t2 @t25))) % 1.11/1.40 (step @p4373 :rule refl :args (@t1577)) % 1.11/1.40 (step @p4374 :rule cong :premises (@p769 @p4373) :args (@t1578)) % 1.11/1.40 (step @p4375 :rule trans :premises (@p4374 @p4372)) % 1.11/1.40 (step @p4376 :rule ho_cong :premises (@p2864 @p4373)) % 1.11/1.40 (step @p4377 :rule cong :premises (@p4376 @p4375) :args ((= (_ @t419 @t1577) @t1578))) % 1.11/1.40 (step @p4378 :rule symm :premises (@p4377)) % 1.11/1.40 (step @p4379 :rule refl :args (@t458)) % 1.11/1.40 (step @p4380 :rule eq_resolve :premises (@p4379 @p4378)) % 1.11/1.40 (step @p4381 :rule refl :args (@t25)) % 1.11/1.40 (step @p4382 :rule cong :premises (@p4381 @p4373) :args ((= @t25 @t1577))) % 1.11/1.40 (step @p4383 :rule symm :premises (@p4382)) % 1.11/1.40 (step @p4384 :rule eq_resolve :premises (@p4381 @p4383)) % 1.11/1.40 (step @p4385 :rule ho_cong :premises (@p2864 @p4384)) % 1.11/1.40 (step @p4386 :rule trans :premises (@p4385 @p4380)) % 1.11/1.40 (step @p4387 :rule cong :premises (@p4386) :args (@t460)) % 1.11/1.40 (step @p4388 :rule refl :args (tptp.setadjoinSub)) % 1.11/1.40 (step @p4389 :rule cong :premises (@p4388 @p4387) :args (@t461)) % 1.11/1.40 (step @p4390 :rule eq_resolve :premises (@p88 @p4389)) % 1.11/1.40 (step @p4391 :rule cong :premises (@p4390 @p4371) :args (@t2953)) % 1.11/1.40 (step @p4392 :rule refl :args (@t1580)) % 1.11/1.40 (step @p4393 :rule refl :args (@t452)) % 1.11/1.40 (step @p4394 :rule cong :premises (@p4393 @p4392) :args ((= @t452 @t1580))) % 1.11/1.40 (step @p4395 :rule symm :premises (@p4394)) % 1.11/1.40 (step @p4396 :rule eq_resolve :premises (@p4393 @p4395)) % 1.11/1.40 (step @p4397 :rule refl :args (@t1581)) % 1.11/1.40 (step @p4398 :rule refl :args (@t453)) % 1.11/1.40 (step @p4399 :rule cong :premises (@p4398 @p4397) :args ((= @t453 @t1581))) % 1.11/1.40 (step @p4400 :rule symm :premises (@p4399)) % 1.11/1.40 (step @p4401 :rule eq_resolve :premises (@p4398 @p4400)) % 1.11/1.40 (step @p4402 :rule cong :premises (@p4401) :args (@t2954)) % 1.11/1.40 (step @p4403 :rule nary_cong :premises (@p3747 @p4402 @p4396) :args (@t2955)) % 1.11/1.40 (step @p4404 :rule cong :premises (@p4403) :args ((forall @t455 @t2955))) % 1.11/1.40 (step @p4405 :rule aci_norm :args ((= (or @t439 (or @t2954 @t452)) @t2955))) % 1.11/1.40 (step @p4406 :rule bool-impl-elim :args (@t453 @t452)) % 1.11/1.40 (step @p4407 :rule nary_cong :premises (@p4318 @p4406) :args ((or @t439 @t454))) % 1.11/1.40 (step @p4408 :rule trans :premises (@p4407 @p4405)) % 1.11/1.40 (step @p4409 :rule bool-impl-elim :args (@t420 @t454)) % 1.11/1.40 (step @p4410 :rule trans :premises (@p4409 @p4408)) % 1.11/1.40 (step @p4411 :rule cong :premises (@p4410) :args (@t456)) % 1.11/1.40 (step @p4412 :rule trans :premises (@p4411 @p4404)) % 1.11/1.40 (step @p4413 :rule refl :args (tptp.subsetTrans)) % 1.11/1.40 (step @p4414 :rule cong :premises (@p4413 @p4412) :args (@t457)) % 1.11/1.40 (step @p4415 :rule eq_resolve :premises (@p87 @p4414)) % 1.11/1.40 (step @p4416 :rule cong :premises (@p4415 @p4391) :args (@t2956)) % 1.11/1.40 (step @p4417 :rule refl :args (@t1583)) % 1.11/1.40 (step @p4418 :rule refl :args (@t449)) % 1.11/1.40 (step @p4419 :rule cong :premises (@p4418 @p4417) :args ((= @t449 @t1583))) % 1.11/1.40 (step @p4420 :rule symm :premises (@p4419)) % 1.11/1.40 (step @p4421 :rule eq_resolve :premises (@p4418 @p4420)) % 1.11/1.40 (step @p4422 :rule cong :premises (@p4421) :args (@t450)) % 1.11/1.40 (step @p4423 :rule refl :args (tptp.subsetRefl)) % 1.11/1.40 (step @p4424 :rule cong :premises (@p4423 @p4422) :args (@t451)) % 1.11/1.40 (step @p4425 :rule eq_resolve :premises (@p86 @p4424)) % 1.11/1.40 (step @p4426 :rule cong :premises (@p4425 @p4416) :args (@t2957)) % 1.11/1.40 (step @p4427 :rule bool-eq-true :args (tptp.notequalI2)) % 1.11/1.40 (step @p4428 :rule symm :premises (@p4427)) % 1.11/1.40 (step @p4429 :rule quant-unused-vars :args ((= (forall @t2958 true) true))) % 1.11/1.40 (step @p4430 :rule bool-or-taut2 :args (false @t1493 false false)) % 1.11/1.40 (step @p4431 :rule cong :premises (@p4430) :args ((forall @t2958 @t2959))) % 1.11/1.40 (step @p4432 :rule trans :premises (@p4431 @p4429)) % 1.11/1.40 (step @p4433 :rule aci_norm :args ((= (or @t1495 @t1493 false) @t2959))) % 1.11/1.40 (step @p4434 :rule eq-refl :args (@t1)) % 1.11/1.40 (step @p4435 :rule cong :premises (@p4434) :args (@t2960)) % 1.11/1.40 (step @p4436 :rule trans :premises (@p4435 @p2311)) % 1.11/1.40 (step @p4437 :rule nary_cong :premises (@p3577 @p3573 @p4436) :args (@t2961)) % 1.11/1.40 (step @p4438 :rule trans :premises (@p4437 @p4433)) % 1.11/1.40 (step @p4439 :rule cong :premises (@p4438) :args ((forall @t2958 @t2961))) % 1.11/1.40 (step @p4440 :rule trans :premises (@p4439 @p4432)) % 1.11/1.40 (step @p4441 :rule quant-var-elim-eq :args ((= (forall @t64 @t2962) @t2961))) % 1.11/1.40 (step @p4442 :rule aci_norm :args ((= @t2963 @t2962))) % 1.11/1.40 (step @p4443 :rule cong :premises (@p4442) :args (@t2964)) % 1.11/1.40 (step @p4444 :rule trans :premises (@p4443 @p4441)) % 1.11/1.40 (step @p4445 :rule cong :premises (@p4444) :args (@t2965)) % 1.11/1.40 (step @p4446 :rule quant-merge-prenex :args ((= @t2965 @t2966))) % 1.11/1.40 (step @p4447 :rule symm :premises (@p4446)) % 1.11/1.40 (step @p4448 :rule quant_var_reordering :args ((= (forall @t245 @t2963) @t2966))) % 1.11/1.40 (step @p4449 :rule trans :premises (@p4448 @p4447 @p4445)) % 1.11/1.40 (step @p4450 :rule trans :premises (@p4449 @p4440)) % 1.11/1.40 (step @p4451 :rule refl :args (@t443)) % 1.11/1.40 (step @p4452 :rule nary_cong :premises (@p702 @p3491 @p4451) :args (@t2967)) % 1.11/1.40 (step @p4453 :rule cong :premises (@p4452) :args ((forall @t245 @t2967))) % 1.11/1.40 (step @p4454 :rule trans :premises (@p4453 @p4450)) % 1.11/1.40 (step @p4455 :rule aci_norm :args ((= (or @t197 (or @t6 @t443)) @t2967))) % 1.11/1.40 (step @p4456 :rule nary_cong :premises (@p3496 @p4451) :args ((or @t2820 @t443))) % 1.11/1.40 (step @p4457 :rule bool-impl-elim :args (@t435 @t443)) % 1.11/1.40 (step @p4458 :rule trans :premises (@p4457 @p4456)) % 1.11/1.40 (step @p4459 :rule nary_cong :premises (@p2710 @p4458) :args ((or @t197 @t446))) % 1.11/1.40 (step @p4460 :rule trans :premises (@p4459 @p4455)) % 1.11/1.40 (step @p4461 :rule bool-impl-elim :args (@t7 @t446)) % 1.11/1.40 (step @p4462 :rule trans :premises (@p4461 @p4460)) % 1.11/1.40 (step @p4463 :rule cong :premises (@p4462) :args (@t447)) % 1.11/1.40 (step @p4464 :rule trans :premises (@p4463 @p4454)) % 1.11/1.40 (step @p4465 :rule refl :args (tptp.notequalI2)) % 1.11/1.40 (step @p4466 :rule cong :premises (@p4465 @p4464) :args (@t448)) % 1.11/1.40 (step @p4467 :rule trans :premises (@p4466 @p4427)) % 1.11/1.40 (step @p4468 :rule eq_resolve :premises (@p85 @p4467)) % 1.11/1.40 (step @p4469 :rule eq_resolve :premises (@p4468 @p4428)) % 1.11/1.40 (step @p4470 :rule cong :premises (@p4469 @p4426) :args (@t2968)) % 1.11/1.40 (step @p4471 :rule aci_norm :args ((= (or @t1585 false) @t1585))) % 1.11/1.40 (step @p4472 :rule refl :args (@t1585)) % 1.11/1.40 (step @p4473 :rule nary_cong :premises (@p4472 @p4436) :args (@t2969)) % 1.11/1.40 (step @p4474 :rule trans :premises (@p4473 @p4471)) % 1.11/1.40 (step @p4475 :rule cong :premises (@p4474) :args ((forall @t41 @t2969))) % 1.11/1.40 (step @p4476 :rule quant-var-elim-eq :args ((= (forall @t64 @t2970) @t2969))) % 1.11/1.40 (step @p4477 :rule aci_norm :args ((= @t2971 @t2970))) % 1.11/1.40 (step @p4478 :rule cong :premises (@p4477) :args (@t2972)) % 1.11/1.40 (step @p4479 :rule trans :premises (@p4478 @p4476)) % 1.11/1.40 (step @p4480 :rule cong :premises (@p4479) :args (@t2973)) % 1.11/1.40 (step @p4481 :rule quant-merge-prenex :args ((= @t2973 @t2975))) % 1.11/1.40 (step @p4482 :rule symm :premises (@p4481)) % 1.11/1.40 (step @p4483 :rule quant_var_reordering :args ((= (forall @t12 @t2971) @t2975))) % 1.11/1.40 (step @p4484 :rule trans :premises (@p4483 @p4482 @p4480)) % 1.11/1.40 (step @p4485 :rule trans :premises (@p4484 @p4475)) % 1.11/1.40 (step @p4486 :rule nary_cong :premises (@p3639 @p4451) :args (@t2976)) % 1.11/1.40 (step @p4487 :rule cong :premises (@p4486) :args ((forall @t12 @t2976))) % 1.11/1.40 (step @p4488 :rule trans :premises (@p4487 @p4485)) % 1.11/1.40 (step @p4489 :rule bool-double-not-elim :args (@t420)) % 1.11/1.40 (step @p4490 :rule nary_cong :premises (@p4489 @p4451) :args ((or (not @t439) @t443))) % 1.11/1.40 (step @p4491 :rule bool-impl-elim :args (@t439 @t443)) % 1.11/1.40 (step @p4492 :rule trans :premises (@p4491 @p4490)) % 1.11/1.40 (step @p4493 :rule cong :premises (@p4492) :args (@t444)) % 1.11/1.40 (step @p4494 :rule trans :premises (@p4493 @p4488)) % 1.11/1.40 (step @p4495 :rule refl :args (tptp.notequalI1)) % 1.11/1.40 (step @p4496 :rule cong :premises (@p4495 @p4494) :args (@t445)) % 1.11/1.40 (step @p4497 :rule eq_resolve :premises (@p84 @p4496)) % 1.11/1.40 (step @p4498 :rule cong :premises (@p4497 @p4470) :args (@t2977)) % 1.11/1.40 (step @p4499 :rule nary_cong :premises (@p702 @p3491 @p3747) :args (@t2978)) % 1.11/1.40 (step @p4500 :rule cong :premises (@p4499) :args ((forall @t245 @t2978))) % 1.11/1.40 (step @p4501 :rule aci_norm :args ((= (or @t197 (or @t6 @t439)) @t2978))) % 1.11/1.40 (step @p4502 :rule nary_cong :premises (@p3496 @p4318) :args ((or @t2820 @t439))) % 1.11/1.40 (step @p4503 :rule bool-impl-elim :args (@t435 @t439)) % 1.11/1.40 (step @p4504 :rule trans :premises (@p4503 @p4502)) % 1.11/1.40 (step @p4505 :rule nary_cong :premises (@p2710 @p4504) :args ((or @t197 @t440))) % 1.11/1.40 (step @p4506 :rule trans :premises (@p4505 @p4501)) % 1.11/1.40 (step @p4507 :rule bool-impl-elim :args (@t7 @t440)) % 1.11/1.40 (step @p4508 :rule trans :premises (@p4507 @p4506)) % 1.11/1.40 (step @p4509 :rule cong :premises (@p4508) :args (@t441)) % 1.11/1.40 (step @p4510 :rule trans :premises (@p4509 @p4500)) % 1.11/1.40 (step @p4511 :rule refl :args (tptp.notsubsetI)) % 1.11/1.40 (step @p4512 :rule cong :premises (@p4511 @p4510) :args (@t442)) % 1.11/1.40 (step @p4513 :rule eq_resolve :premises (@p83 @p4512)) % 1.11/1.40 (step @p4514 :rule cong :premises (@p4513 @p4498) :args (@t2979)) % 1.11/1.40 (step @p4515 :rule nary_cong :premises (@p3747 @p3491 @p702) :args (@t2980)) % 1.11/1.40 (step @p4516 :rule cong :premises (@p4515) :args ((forall @t245 @t2980))) % 1.11/1.40 (step @p4517 :rule aci_norm :args ((= (or @t439 @t2858) @t2980))) % 1.11/1.40 (step @p4518 :rule nary_cong :premises (@p4318 @p3715) :args ((or @t439 @t436))) % 1.11/1.40 (step @p4519 :rule trans :premises (@p4518 @p4517)) % 1.11/1.40 (step @p4520 :rule bool-impl-elim :args (@t420 @t436)) % 1.11/1.40 (step @p4521 :rule trans :premises (@p4520 @p4519)) % 1.11/1.40 (step @p4522 :rule cong :premises (@p4521) :args (@t437)) % 1.11/1.40 (step @p4523 :rule trans :premises (@p4522 @p4516)) % 1.11/1.40 (step @p4524 :rule refl :args (tptp.subsetE2)) % 1.11/1.40 (step @p4525 :rule cong :premises (@p4524 @p4523) :args (@t438)) % 1.11/1.40 (step @p4526 :rule eq_resolve :premises (@p82 @p4525)) % 1.11/1.40 (step @p4527 :rule cong :premises (@p4526 @p4514) :args (@t2981)) % 1.11/1.40 (step @p4528 :rule nary_cong :premises (@p3747 @p702 @p3491) :args (@t2982)) % 1.11/1.40 (step @p4529 :rule cong :premises (@p4528) :args ((forall @t245 @t2982))) % 1.11/1.40 (step @p4530 :rule aci_norm :args ((= (or @t439 @t2862) @t2982))) % 1.11/1.40 (step @p4531 :rule nary_cong :premises (@p4318 @p3733) :args ((or @t439 @t191))) % 1.11/1.40 (step @p4532 :rule trans :premises (@p4531 @p4530)) % 1.11/1.40 (step @p4533 :rule bool-impl-elim :args (@t420 @t191)) % 1.11/1.40 (step @p4534 :rule trans :premises (@p4533 @p4532)) % 1.11/1.40 (step @p4535 :rule cong :premises (@p4534) :args (@t433)) % 1.11/1.40 (step @p4536 :rule trans :premises (@p4535 @p4529)) % 1.11/1.40 (step @p4537 :rule refl :args (tptp.subsetE)) % 1.11/1.40 (step @p4538 :rule cong :premises (@p4537 @p4536) :args (@t434)) % 1.11/1.40 (step @p4539 :rule eq_resolve :premises (@p81 @p4538)) % 1.11/1.40 (step @p4540 :rule cong :premises (@p4539 @p4527) :args (@t2983)) % 1.11/1.40 (step @p4541 :rule refl :args (@t1590)) % 1.11/1.40 (step @p4542 :rule refl :args (@t430)) % 1.11/1.40 (step @p4543 :rule cong :premises (@p4542 @p4541) :args ((= @t430 @t1590))) % 1.11/1.40 (step @p4544 :rule symm :premises (@p4543)) % 1.11/1.40 (step @p4545 :rule eq_resolve :premises (@p4542 @p4544)) % 1.11/1.40 (step @p4546 :rule cong :premises (@p4545) :args (@t431)) % 1.11/1.40 (step @p4547 :rule refl :args (tptp.emptysetsubset)) % 1.11/1.40 (step @p4548 :rule cong :premises (@p4547 @p4546) :args (@t432)) % 1.11/1.40 (step @p4549 :rule eq_resolve :premises (@p80 @p4548)) % 1.11/1.40 (step @p4550 :rule cong :premises (@p4549 @p4540) :args (@t2984)) % 1.11/1.40 (step @p4551 :rule eq-symm :args (@t1594 tptp.subsetI2)) % 1.11/1.40 (step @p4552 :rule refl :args (tptp.subsetI2)) % 1.11/1.40 (step @p4553 :rule refl :args (@t1593)) % 1.11/1.40 (step @p4554 :rule nary_cong :premises (@p4553 @p3639) :args (@t2985)) % 1.11/1.40 (step @p4555 :rule cong :premises (@p4554) :args ((forall @t12 @t2985))) % 1.11/1.40 (step @p4556 :rule bool-impl-elim :args (@t1592 @t420)) % 1.11/1.40 (step @p4557 :rule cong :premises (@p4556) :args ((forall @t12 (=> @t1592 @t420)))) % 1.11/1.40 (step @p4558 :rule trans :premises (@p4557 @p4555)) % 1.11/1.40 (step @p4559 :rule nary_cong :premises (@p702 @p3491) :args (@t2862)) % 1.11/1.40 (step @p4560 :rule cong :premises (@p4559) :args ((forall @t9 @t2862))) % 1.11/1.40 (step @p4561 :rule cong :premises (@p3733) :args (@t192)) % 1.11/1.40 (step @p4562 :rule trans :premises (@p4561 @p4560)) % 1.11/1.40 (step @p4563 :rule cong :premises (@p4562 @p3652) :args (@t421)) % 1.11/1.40 (step @p4564 :rule cong :premises (@p4563) :args (@t422)) % 1.11/1.40 (step @p4565 :rule trans :premises (@p4564 @p4558)) % 1.11/1.40 (step @p4566 :rule cong :premises (@p4565 @p4552) :args ((= @t422 tptp.subsetI2))) % 1.11/1.40 (step @p4567 :rule trans :premises (@p4566 @p4551)) % 1.11/1.40 (step @p4568 :rule eq-symm :args (tptp.subsetI2 @t422)) % 1.11/1.40 (step @p4569 :rule trans :premises (@p4568 @p4567)) % 1.11/1.40 (step @p4570 :rule eq_resolve :premises (@p79 @p4569)) % 1.11/1.40 (step @p4571 :rule cong :premises (@p4570 @p4550) :args (@t2986)) % 1.11/1.40 (step @p4572 :rule aci_norm :args ((= (or false @t1585) @t1585))) % 1.11/1.40 (step @p4573 :rule nary_cong :premises (@p4436 @p4472) :args (@t2987)) % 1.11/1.40 (step @p4574 :rule trans :premises (@p4573 @p4572)) % 1.11/1.40 (step @p4575 :rule cong :premises (@p4574) :args ((forall @t41 @t2987))) % 1.11/1.40 (step @p4576 :rule quant-var-elim-eq :args ((= (forall @t64 @t2988) @t2987))) % 1.11/1.40 (step @p4577 :rule aci_norm :args ((= @t2989 @t2988))) % 1.11/1.40 (step @p4578 :rule cong :premises (@p4577) :args (@t2990)) % 1.11/1.40 (step @p4579 :rule trans :premises (@p4578 @p4576)) % 1.11/1.40 (step @p4580 :rule cong :premises (@p4579) :args (@t2991)) % 1.11/1.40 (step @p4581 :rule quant-merge-prenex :args ((= @t2991 @t2992))) % 1.11/1.40 (step @p4582 :rule symm :premises (@p4581)) % 1.11/1.40 (step @p4583 :rule quant_var_reordering :args ((= (forall @t12 @t2989) @t2992))) % 1.11/1.40 (step @p4584 :rule trans :premises (@p4583 @p4582 @p4580)) % 1.11/1.40 (step @p4585 :rule trans :premises (@p4584 @p4575)) % 1.11/1.40 (step @p4586 :rule nary_cong :premises (@p4451 @p3639) :args (@t2993)) % 1.11/1.40 (step @p4587 :rule cong :premises (@p4586) :args ((forall @t12 @t2993))) % 1.11/1.40 (step @p4588 :rule trans :premises (@p4587 @p4585)) % 1.11/1.40 (step @p4589 :rule bool-impl-elim :args (@t3 @t420)) % 1.11/1.40 (step @p4590 :rule cong :premises (@p4589) :args (@t428)) % 1.11/1.40 (step @p4591 :rule trans :premises (@p4590 @p4588)) % 1.11/1.40 (step @p4592 :rule refl :args (tptp.eqimpsubset1)) % 1.11/1.40 (step @p4593 :rule cong :premises (@p4592 @p4591) :args (@t429)) % 1.11/1.40 (step @p4594 :rule eq_resolve :premises (@p78 @p4593)) % 1.11/1.40 (step @p4595 :rule cong :premises (@p4594 @p4571) :args (@t2994)) % 1.11/1.40 (step @p4596 :rule quant-var-elim-eq :args ((= (forall @t64 @t2995) @t2987))) % 1.11/1.40 (step @p4597 :rule aci_norm :args ((= @t2996 @t2995))) % 1.11/1.40 (step @p4598 :rule cong :premises (@p4597) :args (@t2997)) % 1.11/1.40 (step @p4599 :rule trans :premises (@p4598 @p4596)) % 1.11/1.40 (step @p4600 :rule cong :premises (@p4599) :args (@t2998)) % 1.11/1.40 (step @p4601 :rule quant-merge-prenex :args ((= @t2998 @t2999))) % 1.11/1.40 (step @p4602 :rule symm :premises (@p4601)) % 1.11/1.40 (step @p4603 :rule quant_var_reordering :args ((= (forall @t12 @t2996) @t2999))) % 1.11/1.40 (step @p4604 :rule trans :premises (@p4603 @p4602 @p4600)) % 1.11/1.40 (step @p4605 :rule trans :premises (@p4604 @p4575)) % 1.11/1.40 (step @p4606 :rule nary_cong :premises (@p4451 @p3859) :args (@t3000)) % 1.11/1.40 (step @p4607 :rule cong :premises (@p4606) :args ((forall @t12 @t3000))) % 1.11/1.40 (step @p4608 :rule trans :premises (@p4607 @p4605)) % 1.11/1.40 (step @p4609 :rule bool-impl-elim :args (@t3 @t425)) % 1.11/1.40 (step @p4610 :rule cong :premises (@p4609) :args (@t426)) % 1.11/1.40 (step @p4611 :rule trans :premises (@p4610 @p4608)) % 1.11/1.40 (step @p4612 :rule refl :args (tptp.eqimpsubset2)) % 1.11/1.40 (step @p4613 :rule cong :premises (@p4612 @p4611) :args (@t427)) % 1.11/1.40 (step @p4614 :rule eq_resolve :premises (@p77 @p4613)) % 1.11/1.40 (step @p4615 :rule cong :premises (@p4614 @p4595) :args (@t3001)) % 1.11/1.40 (step @p4616 :rule refl :args (tptp.subsetI1)) % 1.11/1.40 (step @p4617 :rule cong :premises (@p4616 @p4565) :args (@t423)) % 1.11/1.40 (step @p4618 :rule eq_resolve :premises (@p76 @p4617)) % 1.11/1.40 (step @p4619 :rule cong :premises (@p4618 @p4615) :args (@t3002)) % 1.11/1.40 (step @p4620 :rule aci_norm :args ((= (or false @t1602 @t1599) @t1603))) % 1.11/1.40 (step @p4621 :rule eq-symm :args (@t1596 @t1598)) % 1.11/1.40 (step @p4622 :rule aci_norm :args ((= @t3003 @t1601))) % 1.11/1.40 (step @p4623 :rule cong :premises (@p4622) :args (@t3004)) % 1.11/1.40 (step @p4624 :rule cong :premises (@p4623) :args (@t3005)) % 1.11/1.40 (step @p4625 :rule nary_cong :premises (@p4436 @p4624 @p4621) :args (@t3006)) % 1.11/1.40 (step @p4626 :rule trans :premises (@p4625 @p4620)) % 1.11/1.40 (step @p4627 :rule cong :premises (@p4626) :args ((forall @t1604 @t3006))) % 1.11/1.40 (step @p4628 :rule quant-var-elim-eq :args ((= (forall @t64 @t3009) @t3006))) % 1.11/1.40 (step @p4629 :rule aci_norm :args ((= @t3010 @t3009))) % 1.11/1.40 (step @p4630 :rule cong :premises (@p4629) :args (@t3011)) % 1.11/1.40 (step @p4631 :rule trans :premises (@p4630 @p4628)) % 1.11/1.40 (step @p4632 :rule cong :premises (@p4631) :args (@t3012)) % 1.11/1.40 (step @p4633 :rule quant-merge-prenex :args ((= @t3012 @t3013))) % 1.11/1.40 (step @p4634 :rule symm :premises (@p4633)) % 1.11/1.40 (step @p4635 :rule quant_var_reordering :args ((= (forall @t3014 @t3010) @t3013))) % 1.11/1.40 (step @p4636 :rule trans :premises (@p4635 @p4634 @p4632)) % 1.11/1.40 (step @p4637 :rule trans :premises (@p4636 @p4627)) % 1.11/1.40 (step @p4638 :rule aci_norm :args ((= @t3016 @t3010))) % 1.11/1.40 (step @p4639 :rule cong :premises (@p4638) :args (@t3017)) % 1.11/1.40 (step @p4640 :rule trans :premises (@p4639 @p4637)) % 1.11/1.40 (step @p4641 :rule quant-merge-prenex :args ((= (forall @t12 @t3019) @t3017))) % 1.11/1.40 (step @p4642 :rule alpha_equiv :args (@t3020 (@list @t1595 @t1597) (@list @t143 @t366))) % 1.11/1.40 (step @p4643 :rule nary_cong :premises (@p4451 @p4642) :args (@t3021)) % 1.11/1.40 (step @p4644 :rule quant-miniscope-or :args ((= @t3019 @t3021))) % 1.11/1.40 (step @p4645 :rule trans :premises (@p4644 @p4643)) % 1.11/1.40 (step @p4646 :rule symm :premises (@p4645)) % 0.42/1.40 (step @p4647 :rule cong :premises (@p4646) :args ((forall @t12 (or @t443 @t3025)))) % 0.42/1.40 (step @p4648 :rule trans :premises (@p4647 @p4641)) % 0.42/1.40 (step @p4649 :rule trans :premises (@p4648 @p4640)) % 0.42/1.40 (step @p4650 :rule bool-impl-elim :args (@t3 @t3025)) % 0.42/1.40 (step @p4651 :rule cong :premises (@p4650) :args ((forall @t12 (=> @t3 @t3025)))) % 0.42/1.40 (step @p4652 :rule trans :premises (@p4651 @p4649)) % 0.42/1.40 (step @p4653 :rule lambda-elim :args ((= @t3026 @t366))) % 0.42/1.40 (step @p4654 :rule cong :premises (@p1020 @p4653) :args (@t3027)) % 0.42/1.40 (step @p4655 :rule cong :premises (@p4171 @p4654) :args (@t3028)) % 0.42/1.40 (step @p4656 :rule refl :args (@t3024)) % 0.42/1.40 (step @p4657 :rule nary_cong :premises (@p4656 @p4655) :args (@t3029)) % 0.42/1.40 (step @p4658 :rule cong :premises (@p4657) :args ((forall @t376 @t3029))) % 0.42/1.40 (step @p4659 :rule refl :args ((tptp.dsetconstr @t1 @t368))) % 0.42/1.40 (step @p4660 :rule refl :args (@t1629)) % 0.42/1.40 (step @p4661 :rule cong :premises (@p4660) :args (@t3026)) % 0.42/1.40 (step @p4662 :rule cong :premises (@p1054 @p4661) :args (@t3027)) % 0.42/1.40 (step @p4663 :rule trans :premises (@p4662 @p4659)) % 0.42/1.40 (step @p4664 :rule ho_cong :premises (@p1453 @p4661)) % 0.42/1.40 (step @p4665 :rule cong :premises (@p4664 @p4663) :args ((= (_ @t408 @t3026) @t3027))) % 0.42/1.40 (step @p4666 :rule symm :premises (@p4665)) % 0.42/1.40 (step @p4667 :rule refl :args (@t409)) % 0.42/1.40 (step @p4668 :rule eq_resolve :premises (@p4667 @p4666)) % 0.42/1.40 (step @p4669 :rule refl :args (@t367)) % 0.42/1.40 (step @p4670 :rule cong :premises (@p4669 @p4660) :args ((= @t367 @t1629))) % 0.42/1.40 (step @p4671 :rule symm :premises (@p4670)) % 0.42/1.40 (step @p4672 :rule eq_resolve :premises (@p4669 @p4671)) % 0.42/1.40 (step @p4673 :rule cong :premises (@p4672) :args (@t368)) % 0.42/1.40 (step @p4674 :rule ho_cong :premises (@p1453 @p4673)) % 0.42/1.40 (step @p4675 :rule trans :premises (@p4674 @p4668)) % 0.42/1.40 (step @p4676 :rule cong :premises (@p4194 @p4675) :args (@t410)) % 0.42/1.40 (step @p4677 :rule refl :args (@t3024)) % 0.42/1.40 (step @p4678 :rule nary_cong :premises (@p4677 @p4676) :args (@t3030)) % 0.42/1.40 (step @p4679 :rule cong :premises (@p4678) :args ((forall @t376 @t3030))) % 0.42/1.40 (step @p4680 :rule trans :premises (@p4679 @p4658)) % 0.42/1.40 (step @p4681 :rule bool-impl-elim :args (@t3023 @t410)) % 0.42/1.40 (step @p4682 :rule cong :premises (@p4681) :args ((forall @t376 (=> @t3023 @t410)))) % 0.42/1.40 (step @p4683 :rule trans :premises (@p4682 @p4680)) % 0.42/1.40 (step @p4684 :rule refl :args (@t410)) % 0.42/1.40 (step @p4685 :rule refl :args (@t3022)) % 0.42/1.40 (step @p4686 :rule refl :args (@t1495)) % 0.42/1.40 (step @p4687 :rule nary_cong :premises (@p702 @p4686 @p4685) :args (@t3031)) % 0.42/1.40 (step @p4688 :rule cong :premises (@p4687) :args ((forall @t9 @t3031))) % 0.42/1.40 (step @p4689 :rule aci_norm :args ((= (or @t197 @t3032) @t3031))) % 0.42/1.40 (step @p4690 :rule bool-impl-elim :args (@t7 @t3032)) % 0.42/1.40 (step @p4691 :rule trans :premises (@p4690 @p4689)) % 0.42/1.40 (step @p4692 :rule cong :premises (@p4691) :args ((forall @t9 (=> @t7 @t3032)))) % 0.42/1.40 (step @p4693 :rule trans :premises (@p4692 @p4688)) % 0.42/1.40 (step @p4694 :rule aci_norm :args ((= (or @t1495 false @t3022) @t3032))) % 0.42/1.40 (step @p4695 :rule refl :args (@t3022)) % 0.42/1.40 (step @p4696 :rule eq-refl :args (@t4)) % 0.42/1.40 (step @p4697 :rule cong :premises (@p4696) :args (@t3033)) % 0.42/1.40 (step @p4698 :rule trans :premises (@p4697 @p2311)) % 0.42/1.40 (step @p4699 :rule nary_cong :premises (@p3577 @p4698 @p4695) :args (@t3034)) % 0.42/1.40 (step @p4700 :rule trans :premises (@p4699 @p4694)) % 0.42/1.40 (step @p4701 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t2192 @t282 @t3035)) @t3034))) % 0.42/1.40 (step @p4702 :rule refl :args (@t3035)) % 0.42/1.40 (step @p4703 :rule refl :args (@t2192)) % 0.42/1.40 (step @p4704 :rule eq-symm :args (@t4 @t19)) % 0.42/1.40 (step @p4705 :rule cong :premises (@p4704) :args (@t282)) % 0.42/1.40 (step @p4706 :rule nary_cong :premises (@p4705 @p4703 @p2375 @p4702) :args (@t3036)) % 0.42/1.40 (step @p4707 :rule aci_norm :args ((= @t3037 @t3036))) % 0.42/1.40 (step @p4708 :rule trans :premises (@p4707 @p4706)) % 0.42/1.40 (step @p4709 :rule cong :premises (@p4708) :args ((forall @t70 @t3037))) % 0.42/1.40 (step @p4710 :rule trans :premises (@p4709 @p4701)) % 0.42/1.40 (step @p4711 :rule trans :premises (@p4710 @p4700)) % 0.42/1.40 (step @p4712 :rule refl :args (@t1607)) % 0.42/1.40 (step @p4713 :rule refl :args (@t371)) % 0.42/1.40 (step @p4714 :rule cong :premises (@p4713 @p4712) :args ((= @t371 @t1607))) % 0.42/1.40 (step @p4715 :rule symm :premises (@p4714)) % 0.42/1.40 (step @p4716 :rule eq_resolve :premises (@p4713 @p4715)) % 0.42/1.40 (step @p4717 :rule cong :premises (@p695 @p4716) :args (@t372)) % 0.42/1.40 (step @p4718 :rule nary_cong :premises (@p999 @p2375 @p4717) :args (@t3038)) % 0.42/1.40 (step @p4719 :rule cong :premises (@p4718) :args ((forall @t70 @t3038))) % 0.42/1.40 (step @p4720 :rule trans :premises (@p4719 @p4711)) % 0.42/1.40 (step @p4721 :rule aci_norm :args ((= (or @t2197 @t3039) @t3038))) % 0.42/1.40 (step @p4722 :rule bool-impl-elim :args (@t129 @t372)) % 0.42/1.40 (step @p4723 :rule nary_cong :premises (@p1004 @p4722) :args ((or @t2197 @t373))) % 0.42/1.40 (step @p4724 :rule trans :premises (@p4723 @p4721)) % 0.42/1.40 (step @p4725 :rule bool-impl-elim :args (@t352 @t373)) % 0.42/1.40 (step @p4726 :rule trans :premises (@p4725 @p4724)) % 0.42/1.40 (step @p4727 :rule cong :premises (@p4726) :args (@t411)) % 0.42/1.40 (step @p4728 :rule trans :premises (@p4727 @p4720)) % 0.42/1.40 (step @p4729 :rule cong :premises (@p748 @p4728) :args (@t412)) % 0.42/1.40 (step @p4730 :rule cong :premises (@p4729) :args (@t413)) % 0.42/1.40 (step @p4731 :rule trans :premises (@p4730 @p4693)) % 0.42/1.40 (step @p4732 :rule cong :premises (@p4731 @p4684) :args (@t414)) % 0.42/1.40 (step @p4733 :rule cong :premises (@p4732) :args (@t415)) % 0.42/1.40 (step @p4734 :rule trans :premises (@p4733 @p4683)) % 0.42/1.40 (step @p4735 :rule refl :args (@t3)) % 0.42/1.40 (step @p4736 :rule cong :premises (@p4735 @p4734) :args (@t416)) % 0.42/1.40 (step @p4737 :rule cong :premises (@p4736) :args (@t417)) % 0.42/1.40 (step @p4738 :rule trans :premises (@p4737 @p4652)) % 0.42/1.40 (step @p4739 :rule refl :args (tptp.dsetconstr__Cong)) % 0.42/1.40 (step @p4740 :rule cong :premises (@p4739 @p4738) :args (@t418)) % 0.42/1.40 (step @p4741 :rule eq_resolve :premises (@p75 @p4740)) % 0.42/1.40 (step @p4742 :rule cong :premises (@p4741 @p4619) :args (@t3040)) % 0.42/1.40 (step @p4743 :rule eq-symm :args (@t1606 @t19)) % 0.42/1.40 (step @p4744 :rule refl :args (@t1608)) % 0.42/1.40 (step @p4745 :rule nary_cong :premises (@p4744 @p4743) :args (@t3041)) % 0.42/1.40 (step @p4746 :rule cong :premises (@p4745) :args (@t3042)) % 0.42/1.40 (step @p4747 :rule cong :premises (@p4746) :args (@t3043)) % 0.42/1.40 (step @p4748 :rule refl :args (@t1609)) % 0.42/1.40 (step @p4749 :rule eq-symm :args (@t1610 @t19)) % 0.42/1.40 (step @p4750 :rule refl :args (@t1393)) % 0.42/1.40 (step @p4751 :rule nary_cong :premises (@p4750 @p4749) :args (@t3044)) % 0.42/1.40 (step @p4752 :rule cong :premises (@p4751) :args (@t3045)) % 0.42/1.40 (step @p4753 :rule cong :premises (@p4752) :args (@t3046)) % 0.42/1.40 (step @p4754 :rule refl :args (@t1611)) % 0.42/1.40 (step @p4755 :rule refl :args (@t1613)) % 0.42/1.40 (step @p4756 :rule refl :args (@t1616)) % 0.42/1.40 (step @p4757 :rule nary_cong :premises (@p4756 @p4755 @p4754 @p4753 @p4748 @p4747) :args (@t3047)) % 0.42/1.40 (step @p4758 :rule aci_norm :args ((= @t3050 @t3047))) % 0.42/1.40 (step @p4759 :rule trans :premises (@p4758 @p4757)) % 0.42/1.40 (step @p4760 :rule cong :premises (@p4759) :args (@t3051)) % 0.42/1.40 (step @p4761 :rule quant-merge-prenex :args ((= (forall @t376 @t3052) @t3051))) % 0.42/1.40 (step @p4762 :rule refl :args (@t1613)) % 0.42/1.40 (step @p4763 :rule alpha_equiv :args (@t3053 (@list @t1606) @t2061)) % 0.42/1.40 (step @p4764 :rule alpha_equiv :args (@t3054 (@list @t1610) @t2061)) % 0.42/1.40 (step @p4765 :rule refl :args (@t1616)) % 0.42/1.40 (step @p4766 :rule nary_cong :premises (@p4765 @p4764 @p4763 @p4762) :args (@t3055)) % 0.42/1.40 (step @p4767 :rule quant-miniscope-or :args ((= @t3052 @t3055))) % 0.42/1.40 (step @p4768 :rule trans :premises (@p4767 @p4766)) % 0.42/1.40 (step @p4769 :rule symm :premises (@p4768)) % 0.42/1.40 (step @p4770 :rule cong :premises (@p4769) :args ((forall @t376 (or @t1616 @t1634 @t1630 @t1613)))) % 0.42/1.40 (step @p4771 :rule trans :premises (@p4770 @p4761)) % 0.42/1.40 (step @p4772 :rule trans :premises (@p4771 @p4760)) % 0.42/1.40 (step @p4773 :rule cong :premises (@p4653) :args (@t3056)) % 0.42/1.40 (step @p4774 :rule cong :premises (@p4170) :args (@t3057)) % 0.42/1.40 (step @p4775 :rule cong :premises (@p4774 @p4773) :args (@t3058)) % 0.42/1.40 (step @p4776 :rule refl :args (@t1630)) % 0.42/1.40 (step @p4777 :rule refl :args (@t1634)) % 0.42/1.40 (step @p4778 :rule nary_cong :premises (@p4756 @p4777 @p4776 @p4775) :args (@t3059)) % 0.42/1.40 (step @p4779 :rule cong :premises (@p4778) :args ((forall @t376 @t3059))) % 0.42/1.40 (step @p4780 :rule trans :premises (@p4779 @p4772)) % 0.42/1.40 (step @p4781 :rule refl :args ((tptp.descr @t368))) % 0.42/1.40 (step @p4782 :rule cong :premises (@p4661) :args (@t3056)) % 0.42/1.40 (step @p4783 :rule trans :premises (@p4782 @p4781)) % 0.42/1.40 (step @p4784 :rule refl :args (tptp.descr)) % 0.42/1.40 (step @p4785 :rule ho_cong :premises (@p4784 @p4661)) % 0.42/1.40 (step @p4786 :rule cong :premises (@p4785 @p4783) :args ((= (_ tptp.descr @t3026) @t3056))) % 0.42/1.40 (step @p4787 :rule symm :premises (@p4786)) % 0.42/1.40 (step @p4788 :rule refl :args (@t401)) % 0.42/1.40 (step @p4789 :rule eq_resolve :premises (@p4788 @p4787)) % 0.42/1.40 (step @p4790 :rule ho_cong :premises (@p4784 @p4673)) % 0.42/1.40 (step @p4791 :rule trans :premises (@p4790 @p4789)) % 0.42/1.40 (step @p4792 :rule refl :args ((tptp.descr @t145))) % 0.42/1.40 (step @p4793 :rule cong :premises (@p4176) :args (@t3057)) % 0.42/1.40 (step @p4794 :rule trans :premises (@p4793 @p4792)) % 0.42/1.40 (step @p4795 :rule ho_cong :premises (@p4784 @p4176)) % 0.42/1.40 (step @p4796 :rule cong :premises (@p4795 @p4794) :args ((= (_ tptp.descr @t2930) @t3057))) % 0.42/1.40 (step @p4797 :rule symm :premises (@p4796)) % 0.42/1.40 (step @p4798 :rule refl :args (@t146)) % 0.42/1.40 (step @p4799 :rule eq_resolve :premises (@p4798 @p4797)) % 0.42/1.40 (step @p4800 :rule ho_cong :premises (@p4784 @p4192)) % 0.42/1.40 (step @p4801 :rule trans :premises (@p4800 @p4799)) % 0.42/1.40 (step @p4802 :rule cong :premises (@p4801 @p4791) :args (@t402)) % 0.42/1.40 (step @p4803 :rule refl :args (@t1630)) % 0.42/1.40 (step @p4804 :rule refl :args (@t1634)) % 0.42/1.40 (step @p4805 :rule nary_cong :premises (@p4765 @p4804 @p4803 @p4802) :args (@t3060)) % 0.42/1.40 (step @p4806 :rule cong :premises (@p4805) :args ((forall @t376 @t3060))) % 0.42/1.40 (step @p4807 :rule trans :premises (@p4806 @p4780)) % 0.42/1.40 (step @p4808 :rule aci_norm :args ((= (or @t1616 @t3061) @t3060))) % 0.42/1.40 (step @p4809 :rule aci_norm :args ((= (or @t1634 (or @t1630 @t402)) @t3061))) % 0.42/1.40 (step @p4810 :rule refl :args (@t402)) % 0.42/1.40 (step @p4811 :rule bool-double-not-elim :args (@t1630)) % 0.42/1.40 (step @p4812 :rule nary_cong :premises (@p4811 @p4810) :args ((or (not @t1631) @t402))) % 0.42/1.40 (step @p4813 :rule bool-impl-elim :args (@t1631 @t402)) % 0.42/1.40 (step @p4814 :rule trans :premises (@p4813 @p4812)) % 0.42/1.40 (step @p4815 :rule nary_cong :premises (@p4804 @p4814) :args ((or @t1634 @t3062))) % 0.42/1.40 (step @p4816 :rule trans :premises (@p4815 @p4809)) % 0.42/1.40 (step @p4817 :rule refl :args (@t3062)) % 0.42/1.40 (step @p4818 :rule bool-double-not-elim :args (@t1634)) % 0.42/1.40 (step @p4819 :rule nary_cong :premises (@p4818 @p4817) :args ((or @t3063 @t3062))) % 0.42/1.40 (step @p4820 :rule bool-impl-elim :args (@t1635 @t3062)) % 0.42/1.40 (step @p4821 :rule trans :premises (@p4820 @p4819)) % 0.42/1.40 (step @p4822 :rule trans :premises (@p4821 @p4816)) % 0.42/1.40 (step @p4823 :rule nary_cong :premises (@p4765 @p4822) :args ((or @t1616 @t3064))) % 0.42/1.40 (step @p4824 :rule trans :premises (@p4823 @p4808)) % 0.42/1.40 (step @p4825 :rule bool-impl-elim :args (@t1615 @t3064)) % 0.42/1.40 (step @p4826 :rule trans :premises (@p4825 @p4824)) % 0.42/1.40 (step @p4827 :rule cong :premises (@p4826) :args ((forall @t376 (=> @t1615 @t3064)))) % 0.42/1.40 (step @p4828 :rule trans :premises (@p4827 @p4807)) % 0.42/1.40 (step @p4829 :rule refl :args (@t402)) % 0.42/1.40 (step @p4830 :rule refl :args (@t1628)) % 0.42/1.40 (step @p4831 :rule cong :premises (@p4672) :args (@t3065)) % 0.42/1.40 (step @p4832 :rule nary_cong :premises (@p4831 @p4830) :args (@t3066)) % 0.42/1.40 (step @p4833 :rule cong :premises (@p4832) :args ((forall @t9 @t3066))) % 0.42/1.40 (step @p4834 :rule cong :premises (@p4716) :args (@t3067)) % 0.42/1.40 (step @p4835 :rule nary_cong :premises (@p4834 @p711) :args (@t3068)) % 0.42/1.40 (step @p4836 :rule cong :premises (@p4835) :args ((forall @t70 @t3068))) % 0.42/1.40 (step @p4837 :rule beta-reduce :args ((= @t3069 @t371))) % 0.42/1.40 (step @p4838 :rule cong :premises (@p4837) :args (@t3070)) % 0.42/1.40 (step @p4839 :rule nary_cong :premises (@p4838 @p2409) :args (@t3071)) % 0.42/1.40 (step @p4840 :rule cong :premises (@p4839) :args (@t3072)) % 0.42/1.40 (step @p4841 :rule trans :premises (@p4840 @p4836)) % 0.42/1.40 (step @p4842 :rule cong :premises (@p4841) :args (@t3073)) % 0.42/1.40 (step @p4843 :rule beta-reduce :args ((= @t3074 @t367))) % 0.42/1.40 (step @p4844 :rule cong :premises (@p4843) :args (@t3075)) % 0.42/1.40 (step @p4845 :rule nary_cong :premises (@p4844 @p4842) :args (@t3076)) % 0.42/1.40 (step @p4846 :rule cong :premises (@p4845) :args (@t3077)) % 0.42/1.40 (step @p4847 :rule trans :premises (@p4846 @p4833)) % 0.42/1.40 (step @p4848 :rule cong :premises (@p4847) :args (@t3078)) % 0.42/1.40 (step @p4849 :rule beta-reduce :args ((= @t3080 @t3078))) % 0.42/1.40 (step @p4850 :rule trans :premises (@p4849 @p4848)) % 0.42/1.40 (step @p4851 :rule cong :premises (@p4850 @p4829) :args (@t3081)) % 0.42/1.40 (step @p4852 :rule refl :args (@t1633)) % 0.42/1.40 (step @p4853 :rule nary_cong :premises (@p696 @p4852) :args (@t3082)) % 0.42/1.40 (step @p4854 :rule cong :premises (@p4853) :args ((forall @t9 @t3082))) % 0.42/1.40 (step @p4855 :rule nary_cong :premises (@p717 @p711) :args (@t2082)) % 0.42/1.40 (step @p4856 :rule cong :premises (@p4855) :args ((forall @t70 @t2082))) % 0.42/1.40 (step @p4857 :rule beta-reduce :args ((= @t3083 @t153))) % 0.42/1.40 (step @p4858 :rule cong :premises (@p4857) :args (@t3084)) % 0.42/1.40 (step @p4859 :rule nary_cong :premises (@p4858 @p2409) :args (@t3085)) % 0.42/1.40 (step @p4860 :rule cong :premises (@p4859) :args (@t3086)) % 0.42/1.40 (step @p4861 :rule trans :premises (@p4860 @p4856)) % 0.42/1.40 (step @p4862 :rule cong :premises (@p4861) :args (@t3087)) % 0.42/1.40 (step @p4863 :rule beta-reduce :args ((= @t3088 @t144))) % 0.42/1.40 (step @p4864 :rule cong :premises (@p4863) :args (@t3089)) % 0.42/1.40 (step @p4865 :rule nary_cong :premises (@p4864 @p4862) :args (@t3090)) % 0.42/1.40 (step @p4866 :rule cong :premises (@p4865) :args (@t3091)) % 0.42/1.40 (step @p4867 :rule trans :premises (@p4866 @p4854)) % 0.42/1.40 (step @p4868 :rule cong :premises (@p4867) :args (@t3092)) % 0.42/1.40 (step @p4869 :rule beta-reduce :args ((= @t3093 @t3092))) % 0.42/1.40 (step @p4870 :rule trans :premises (@p4869 @p4868)) % 0.42/1.40 (step @p4871 :rule cong :premises (@p4870 @p4851) :args (@t3094)) % 0.42/1.40 (step @p4872 :rule aci_norm :args ((= (or false @t1614) @t1614))) % 0.42/1.40 (step @p4873 :rule refl :args (@t1614)) % 0.42/1.40 (step @p4874 :rule nary_cong :premises (@p2350 @p4873) :args (@t3095)) % 0.42/1.40 (step @p4875 :rule trans :premises (@p4874 @p4872)) % 0.42/1.40 (step @p4876 :rule cong :premises (@p4875) :args ((forall @t70 @t3095))) % 0.42/1.40 (step @p4877 :rule quant-var-elim-eq :args ((= (forall @t9 @t3096) @t3095))) % 0.42/1.40 (step @p4878 :rule aci_norm :args ((= @t3097 @t3096))) % 0.42/1.40 (step @p4879 :rule cong :premises (@p4878) :args (@t3098)) % 0.42/1.40 (step @p4880 :rule trans :premises (@p4879 @p4877)) % 0.42/1.40 (step @p4881 :rule cong :premises (@p4880) :args (@t3099)) % 0.42/1.40 (step @p4882 :rule quant-merge-prenex :args ((= @t3099 @t3100))) % 0.42/1.40 (step @p4883 :rule symm :premises (@p4882)) % 0.42/1.40 (step @p4884 :rule quant_var_reordering :args ((= (forall @t135 @t3097) @t3100))) % 0.42/1.40 (step @p4885 :rule trans :premises (@p4884 @p4883 @p4881)) % 0.42/1.40 (step @p4886 :rule trans :premises (@p4885 @p4876)) % 0.42/1.40 (step @p4887 :rule nary_cong :premises (@p2375 @p4717) :args (@t3039)) % 0.42/1.40 (step @p4888 :rule cong :premises (@p4887) :args ((forall @t135 @t3039))) % 0.42/1.40 (step @p4889 :rule trans :premises (@p4888 @p4886)) % 0.42/1.40 (step @p4890 :rule cong :premises (@p4722) :args (@t374)) % 0.42/1.40 (step @p4891 :rule trans :premises (@p4890 @p4889)) % 0.42/1.40 (step @p4892 :rule cong :premises (@p4891 @p4871) :args (@t3101)) % 0.42/1.40 (step @p4893 :rule cong :premises (@p4892) :args (@t3102)) % 0.42/1.40 (step @p4894 :rule trans :premises (@p4893 @p4828)) % 0.42/1.40 (step @p4895 :rule refl :args (tptp.descr__Cong)) % 0.42/1.40 (step @p4896 :rule cong :premises (@p4895 @p4894) :args ((= tptp.descr__Cong @t3102))) % 0.42/1.40 (step @p4897 :rule refl :args (@t368)) % 0.42/1.40 (step @p4898 :rule bool-and-de-morgan :args (@t144 @t1632 true)) % 0.42/1.40 (step @p4899 :rule cong :premises (@p4898) :args (@t3104)) % 0.42/1.40 (step @p4900 :rule trans :premises (@p4899 @p4854)) % 0.42/1.40 (step @p4901 :rule cong :premises (@p4900) :args (@t3105)) % 0.42/1.40 (step @p4902 :rule exists-elim :args ((= (exists @t9 @t3103) @t3105))) % 0.42/1.40 (step @p4903 :rule trans :premises (@p4902 @p4901)) % 0.42/1.40 (step @p4904 :rule cong :premises (@p735) :args (@t167)) % 0.42/1.40 (step @p4905 :rule trans :premises (@p4904 @p4856)) % 0.42/1.40 (step @p4906 :rule nary_cong :premises (@p2725 @p4905) :args (@t168)) % 0.42/1.40 (step @p4907 :rule cong :premises (@p4906) :args (@t169)) % 0.42/1.40 (step @p4908 :rule trans :premises (@p4907 @p4903)) % 0.42/1.40 (step @p4909 :rule cong :premises (@p4908) :args (@t1150)) % 0.42/1.40 (step @p4910 :rule trans :premises (@p203 @p4909)) % 0.42/1.40 (step @p4911 :rule ho_cong :premises (@p4910 @p4897)) % 0.42/1.40 (step @p4912 :rule cong :premises (@p4911 @p4829) :args (@t403)) % 0.42/1.40 (step @p4913 :rule ho_cong :premises (@p4910 @p792)) % 0.42/1.40 (step @p4914 :rule cong :premises (@p4913 @p4912) :args (@t404)) % 0.42/1.40 (step @p4915 :rule refl :args (@t374)) % 0.42/1.40 (step @p4916 :rule cong :premises (@p4915 @p4914) :args (@t405)) % 0.42/1.40 (step @p4917 :rule cong :premises (@p4916) :args (@t406)) % 0.42/1.40 (step @p4918 :rule cong :premises (@p4895 @p4917) :args (@t407)) % 0.42/1.40 (step @p4919 :rule trans :premises (@p4918 @p4896)) % 0.42/1.40 (step @p4920 :rule eq_resolve :premises (@p74 @p4919)) % 0.42/1.40 (step @p4921 :rule cong :premises (@p4920 @p4742) :args (@t3106)) % 0.42/1.40 (step @p4922 :rule refl :args (@t1621)) % 0.42/1.40 (step @p4923 :rule refl :args (@t1622)) % 0.42/1.40 (step @p4924 :rule refl :args (@t1623)) % 0.42/1.40 (step @p4925 :rule eq-symm :args (@t1624 @t19)) % 0.42/1.40 (step @p4926 :rule nary_cong :premises (@p4750 @p4925) :args (@t3107)) % 0.42/1.40 (step @p4927 :rule cong :premises (@p4926) :args (@t3108)) % 0.42/1.40 (step @p4928 :rule cong :premises (@p4927) :args (@t3109)) % 0.42/1.40 (step @p4929 :rule refl :args (@t1625)) % 0.42/1.40 (step @p4930 :rule nary_cong :premises (@p4929 @p4928 @p4924 @p4923 @p4922) :args (@t3110)) % 0.42/1.40 (step @p4931 :rule aci_norm :args ((= @t3113 @t3110))) % 0.42/1.40 (step @p4932 :rule trans :premises (@p4931 @p4930)) % 0.42/1.40 (step @p4933 :rule cong :premises (@p4932) :args (@t3114)) % 0.42/1.40 (step @p4934 :rule quant-merge-prenex :args ((= (forall @t150 @t3115) @t3114))) % 0.42/1.40 (step @p4935 :rule alpha_equiv :args (@t3116 (@list @t1620 @t1619) (@list @t4 @t19))) % 0.42/1.40 (step @p4936 :rule alpha_equiv :args (@t3117 (@list @t1624) @t2061)) % 0.42/1.40 (step @p4937 :rule nary_cong :premises (@p4936 @p4935) :args (@t3118)) % 0.42/1.40 (step @p4938 :rule quant-miniscope-or :args ((= @t3115 @t3118))) % 0.42/1.40 (step @p4939 :rule trans :premises (@p4938 @p4937)) % 0.42/1.40 (step @p4940 :rule symm :premises (@p4939)) % 0.42/1.40 (step @p4941 :rule cong :premises (@p4940) :args ((forall @t150 (or @t1634 @t1641)))) % 0.42/1.40 (step @p4942 :rule trans :premises (@p4941 @p4934)) % 0.42/1.40 (step @p4943 :rule trans :premises (@p4942 @p4933)) % 0.42/1.40 (step @p4944 :rule refl :args (@t1641)) % 0.42/1.40 (step @p4945 :rule nary_cong :premises (@p4818 @p4944) :args ((or @t3063 @t1641))) % 0.42/1.40 (step @p4946 :rule bool-impl-elim :args (@t1635 @t1641)) % 0.42/1.40 (step @p4947 :rule trans :premises (@p4946 @p4945)) % 0.42/1.40 (step @p4948 :rule cong :premises (@p4947) :args ((forall @t150 (=> @t1635 @t1641)))) % 0.42/1.40 (step @p4949 :rule trans :premises (@p4948 @p4943)) % 0.42/1.40 (step @p4950 :rule nary_cong :premises (@p696 @p717 @p711) :args (@t2081)) % 0.42/1.40 (step @p4951 :rule cong :premises (@p4950) :args ((forall @t135 @t2081))) % 0.42/1.40 (step @p4952 :rule cong :premises (@p740) :args (@t344)) % 0.42/1.40 (step @p4953 :rule trans :premises (@p4952 @p4951)) % 0.42/1.40 (step @p4954 :rule cong :premises (@p4870 @p4953) :args (@t3119)) % 0.42/1.40 (step @p4955 :rule cong :premises (@p4954) :args (@t3120)) % 0.42/1.40 (step @p4956 :rule trans :premises (@p4955 @p4949)) % 0.42/1.40 (step @p4957 :rule refl :args (tptp.exuEu)) % 0.42/1.40 (step @p4958 :rule cong :premises (@p4957 @p4956) :args ((= tptp.exuEu @t3120))) % 0.42/1.40 (step @p4959 :rule refl :args (@t344)) % 0.42/1.40 (step @p4960 :rule cong :premises (@p4913 @p4959) :args (@t363)) % 0.42/1.40 (step @p4961 :rule cong :premises (@p4960) :args (@t364)) % 0.42/1.40 (step @p4962 :rule cong :premises (@p4957 @p4961) :args (@t400)) % 0.42/1.40 (step @p4963 :rule trans :premises (@p4962 @p4958)) % 0.42/1.40 (step @p4964 :rule eq_resolve :premises (@p73 @p4963)) % 0.42/1.40 (step @p4965 :rule cong :premises (@p4964 @p4921) :args (@t3121)) % 0.42/1.40 (step @p4966 :rule bool-eq-true :args (tptp.omega__Cong)) % 0.42/1.40 (step @p4967 :rule symm :premises (@p4966)) % 0.42/1.40 (step @p4968 :rule eq-refl :args (tptp.omega)) % 0.42/1.40 (step @p4969 :rule refl :args (tptp.omega__Cong)) % 0.42/1.40 (step @p4970 :rule cong :premises (@p4969 @p4968) :args (@t399)) % 0.42/1.40 (step @p4971 :rule trans :premises (@p4970 @p4966)) % 0.42/1.40 (step @p4972 :rule eq_resolve :premises (@p72 @p4971)) % 0.42/1.40 (step @p4973 :rule eq_resolve :premises (@p4972 @p4967)) % 0.42/1.40 (step @p4974 :rule cong :premises (@p4973 @p4965) :args (@t3122)) % 0.42/1.40 (step @p4975 :rule bool-eq-true :args (tptp.setunion__Cong)) % 0.42/1.40 (step @p4976 :rule symm :premises (@p4975)) % 0.42/1.40 (step @p4977 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 0.42/1.40 (step @p4978 :rule evaluate :args ((or false true))) % 0.42/1.40 (step @p4979 :rule eq-refl :args (@t3123)) % 0.42/1.40 (step @p4980 :rule nary_cong :premises (@p4436 @p4979) :args (@t3124)) % 0.42/1.40 (step @p4981 :rule trans :premises (@p4980 @p4978)) % 0.42/1.40 (step @p4982 :rule cong :premises (@p4981) :args ((forall @t41 @t3124))) % 0.42/1.40 (step @p4983 :rule trans :premises (@p4982 @p4977)) % 0.42/1.40 (step @p4984 :rule quant-var-elim-eq :args ((= (forall @t64 @t3126) @t3124))) % 0.42/1.40 (step @p4985 :rule aci_norm :args ((= @t3127 @t3126))) % 0.42/1.40 (step @p4986 :rule cong :premises (@p4985) :args (@t3128)) % 0.42/1.40 (step @p4987 :rule trans :premises (@p4986 @p4984)) % 0.42/1.40 (step @p4988 :rule cong :premises (@p4987) :args (@t3129)) % 0.42/1.40 (step @p4989 :rule quant-merge-prenex :args ((= @t3129 @t3130))) % 0.42/1.40 (step @p4990 :rule symm :premises (@p4989)) % 0.42/1.40 (step @p4991 :rule quant_var_reordering :args ((= (forall @t12 @t3127) @t3130))) % 0.42/1.40 (step @p4992 :rule trans :premises (@p4991 @p4990 @p4988)) % 0.42/1.40 (step @p4993 :rule trans :premises (@p4992 @p4983)) % 0.42/1.40 (step @p4994 :rule refl :args (@t3123)) % 0.42/1.40 (step @p4995 :rule refl :args (@t395)) % 0.42/1.40 (step @p4996 :rule cong :premises (@p4995 @p4994) :args ((= @t395 @t3123))) % 0.42/1.40 (step @p4997 :rule symm :premises (@p4996)) % 0.42/1.40 (step @p4998 :rule eq_resolve :premises (@p4995 @p4997)) % 0.42/1.40 (step @p4999 :rule cong :premises (@p2919 @p4998) :args (@t396)) % 0.42/1.40 (step @p5000 :rule nary_cong :premises (@p4451 @p4999) :args (@t3131)) % 0.42/1.40 (step @p5001 :rule cong :premises (@p5000) :args ((forall @t12 @t3131))) % 0.42/1.40 (step @p5002 :rule trans :premises (@p5001 @p4993)) % 0.42/1.40 (step @p5003 :rule bool-impl-elim :args (@t3 @t396)) % 0.42/1.40 (step @p5004 :rule cong :premises (@p5003) :args (@t397)) % 0.42/1.40 (step @p5005 :rule trans :premises (@p5004 @p5002)) % 0.42/1.40 (step @p5006 :rule refl :args (tptp.setunion__Cong)) % 0.42/1.40 (step @p5007 :rule cong :premises (@p5006 @p5005) :args (@t398)) % 0.42/1.40 (step @p5008 :rule trans :premises (@p5007 @p4975)) % 0.42/1.40 (step @p5009 :rule eq_resolve :premises (@p71 @p5008)) % 0.42/1.40 (step @p5010 :rule eq_resolve :premises (@p5009 @p4976)) % 0.42/1.40 (step @p5011 :rule cong :premises (@p5010 @p4974) :args (@t3132)) % 0.42/1.40 (step @p5012 :rule bool-eq-true :args (tptp.powerset__Cong)) % 0.42/1.40 (step @p5013 :rule symm :premises (@p5012)) % 0.42/1.40 (step @p5014 :rule eq-refl :args (@t1560)) % 0.42/1.40 (step @p5015 :rule nary_cong :premises (@p4436 @p5014) :args (@t3133)) % 0.42/1.40 (step @p5016 :rule trans :premises (@p5015 @p4978)) % 0.42/1.40 (step @p5017 :rule cong :premises (@p5016) :args ((forall @t41 @t3133))) % 0.42/1.40 (step @p5018 :rule trans :premises (@p5017 @p4977)) % 0.42/1.40 (step @p5019 :rule quant-var-elim-eq :args ((= (forall @t64 @t3135) @t3133))) % 0.42/1.40 (step @p5020 :rule aci_norm :args ((= @t3136 @t3135))) % 0.42/1.40 (step @p5021 :rule cong :premises (@p5020) :args (@t3137)) % 0.42/1.40 (step @p5022 :rule trans :premises (@p5021 @p5019)) % 0.42/1.40 (step @p5023 :rule cong :premises (@p5022) :args (@t3138)) % 0.42/1.40 (step @p5024 :rule quant-merge-prenex :args ((= @t3138 @t3139))) % 0.42/1.40 (step @p5025 :rule symm :premises (@p5024)) % 0.42/1.40 (step @p5026 :rule quant_var_reordering :args ((= (forall @t12 @t3136) @t3139))) % 0.42/1.40 (step @p5027 :rule trans :premises (@p5026 @p5025 @p5023)) % 0.42/1.40 (step @p5028 :rule trans :premises (@p5027 @p5018)) % 0.42/1.40 (step @p5029 :rule cong :premises (@p3347 @p4238) :args (@t392)) % 0.42/1.40 (step @p5030 :rule nary_cong :premises (@p4451 @p5029) :args (@t3140)) % 0.42/1.40 (step @p5031 :rule cong :premises (@p5030) :args ((forall @t12 @t3140))) % 0.42/1.40 (step @p5032 :rule trans :premises (@p5031 @p5028)) % 0.42/1.40 (step @p5033 :rule bool-impl-elim :args (@t3 @t392)) % 0.42/1.40 (step @p5034 :rule cong :premises (@p5033) :args (@t393)) % 0.42/1.40 (step @p5035 :rule trans :premises (@p5034 @p5032)) % 0.42/1.40 (step @p5036 :rule refl :args (tptp.powerset__Cong)) % 0.42/1.40 (step @p5037 :rule cong :premises (@p5036 @p5035) :args (@t394)) % 0.42/1.40 (step @p5038 :rule trans :premises (@p5037 @p5012)) % 0.42/1.40 (step @p5039 :rule eq_resolve :premises (@p70 @p5038)) % 0.42/1.40 (step @p5040 :rule eq_resolve :premises (@p5039 @p5013)) % 0.42/1.40 (step @p5041 :rule cong :premises (@p5040 @p5011) :args (@t3141)) % 0.42/1.40 (step @p5042 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 0.42/1.40 (step @p5043 :rule symm :premises (@p5042)) % 0.42/1.40 (step @p5044 :rule quant-unused-vars :args ((= (forall @t3143 true) true))) % 0.42/1.40 (step @p5045 :rule eq-refl :args (@t3144)) % 0.42/1.40 (step @p5046 :rule nary_cong :premises (@p2350 @p5045) :args (@t3145)) % 0.42/1.40 (step @p5047 :rule trans :premises (@p5046 @p4978)) % 0.42/1.40 (step @p5048 :rule cong :premises (@p5047) :args ((forall @t3143 @t3145))) % 0.42/1.40 (step @p5049 :rule trans :premises (@p5048 @p5044)) % 0.42/1.40 (step @p5050 :rule quant-var-elim-eq :args ((= (forall @t9 @t3147) @t3145))) % 0.42/1.40 (step @p5051 :rule aci_norm :args ((= @t3148 @t3147))) % 0.42/1.40 (step @p5052 :rule cong :premises (@p5051) :args (@t3149)) % 0.42/1.40 (step @p5053 :rule trans :premises (@p5052 @p5050)) % 0.42/1.40 (step @p5054 :rule cong :premises (@p5053) :args (@t3150)) % 0.42/1.40 (step @p5055 :rule quant-merge-prenex :args ((= @t3150 @t3151))) % 0.42/1.40 (step @p5056 :rule symm :premises (@p5055)) % 0.42/1.40 (step @p5057 :rule quant_var_reordering :args ((= @t3152 @t3151))) % 0.42/1.40 (step @p5058 :rule trans :premises (@p5057 @p5056 @p5054)) % 0.42/1.40 (step @p5059 :rule trans :premises (@p5058 @p5049)) % 0.42/1.40 (step @p5060 :rule quant-merge-prenex :args ((= (forall @t135 @t3154) @t3152))) % 0.42/1.40 (step @p5061 :rule alpha_equiv :args (@t3155 (@list @t3142) (@list @t381))) % 0.42/1.40 (step @p5062 :rule nary_cong :premises (@p2375 @p5061) :args (@t3156)) % 0.42/1.40 (step @p5063 :rule quant-miniscope-or :args ((= @t3154 @t3156))) % 0.42/1.40 (step @p5064 :rule trans :premises (@p5063 @p5062)) % 0.42/1.40 (step @p5065 :rule symm :premises (@p5064)) % 0.42/1.40 (step @p5066 :rule cong :premises (@p5065) :args ((forall @t135 (or @t282 @t3160)))) % 0.42/1.40 (step @p5067 :rule trans :premises (@p5066 @p5060)) % 0.42/1.40 (step @p5068 :rule trans :premises (@p5067 @p5059)) % 0.42/1.40 (step @p5069 :rule bool-impl-elim :args (@t129 @t3160)) % 0.42/1.40 (step @p5070 :rule cong :premises (@p5069) :args ((forall @t135 (=> @t129 @t3160)))) % 0.42/1.40 (step @p5071 :rule trans :premises (@p5070 @p5068)) % 0.42/1.40 (step @p5072 :rule aci_norm :args ((= (or false @t3159) @t3159))) % 0.42/1.40 (step @p5073 :rule eq-symm :args (@t3157 @t3158)) % 0.42/1.40 (step @p5074 :rule nary_cong :premises (@p2314 @p5073) :args (@t3161)) % 0.42/1.40 (step @p5075 :rule trans :premises (@p5074 @p5072)) % 0.42/1.40 (step @p5076 :rule cong :premises (@p5075) :args ((forall @t751 @t3161))) % 0.42/1.40 (step @p5077 :rule quant-var-elim-eq :args ((= (forall @t2539 @t3164) @t3161))) % 0.42/1.40 (step @p5078 :rule aci_norm :args ((= @t3165 @t3164))) % 0.42/1.40 (step @p5079 :rule cong :premises (@p5078) :args (@t3166)) % 0.42/1.40 (step @p5080 :rule trans :premises (@p5079 @p5077)) % 0.42/1.40 (step @p5081 :rule cong :premises (@p5080) :args (@t3167)) % 0.42/1.40 (step @p5082 :rule quant-merge-prenex :args ((= @t3167 @t3168))) % 0.42/1.40 (step @p5083 :rule symm :premises (@p5082)) % 0.42/1.40 (step @p5084 :rule quant_var_reordering :args ((= (forall @t386 @t3165) @t3168))) % 0.42/1.40 (step @p5085 :rule trans :premises (@p5084 @p5083 @p5081)) % 0.42/1.40 (step @p5086 :rule trans :premises (@p5085 @p5076)) % 0.42/1.40 (step @p5087 :rule refl :args (@t3158)) % 0.42/1.40 (step @p5088 :rule refl :args (@t382)) % 0.42/1.40 (step @p5089 :rule cong :premises (@p5088 @p5087) :args ((= @t382 @t3158))) % 0.42/1.40 (step @p5090 :rule symm :premises (@p5089)) % 0.42/1.40 (step @p5091 :rule eq_resolve :premises (@p5088 @p5090)) % 0.42/1.40 (step @p5092 :rule refl :args (@t3162)) % 0.42/1.40 (step @p5093 :rule refl :args (@t383)) % 0.42/1.40 (step @p5094 :rule cong :premises (@p5093 @p5092) :args ((= @t383 @t3162))) % 0.42/1.40 (step @p5095 :rule symm :premises (@p5094)) % 0.42/1.40 (step @p5096 :rule eq_resolve :premises (@p5093 @p5095)) % 0.42/1.40 (step @p5097 :rule cong :premises (@p5096 @p5091) :args (@t384)) % 0.42/1.40 (step @p5098 :rule nary_cong :premises (@p2329 @p5097) :args (@t3169)) % 0.42/1.40 (step @p5099 :rule cong :premises (@p5098) :args ((forall @t386 @t3169))) % 0.42/1.40 (step @p5100 :rule trans :premises (@p5099 @p5086)) % 0.42/1.40 (step @p5101 :rule bool-impl-elim :args (@t385 @t384)) % 0.42/1.40 (step @p5102 :rule cong :premises (@p5101) :args (@t387)) % 0.42/1.40 (step @p5103 :rule trans :premises (@p5102 @p5100)) % 0.42/1.40 (step @p5104 :rule cong :premises (@p2409 @p5103) :args (@t388)) % 0.42/1.40 (step @p5105 :rule cong :premises (@p5104) :args (@t389)) % 0.42/1.40 (step @p5106 :rule trans :premises (@p5105 @p5071)) % 0.42/1.40 (step @p5107 :rule refl :args (tptp.setadjoin__Cong)) % 0.42/1.40 (step @p5108 :rule cong :premises (@p5107 @p5106) :args (@t390)) % 0.42/1.40 (step @p5109 :rule trans :premises (@p5108 @p5042)) % 0.42/1.40 (step @p5110 :rule eq_resolve :premises (@p69 @p5109)) % 0.42/1.40 (step @p5111 :rule eq_resolve :premises (@p5110 @p5043)) % 0.42/1.40 (step @p5112 :rule cong :premises (@p5111 @p5041) :args (@t3170)) % 0.42/1.40 (step @p5113 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 0.42/1.40 (step @p5114 :rule symm :premises (@p5113)) % 0.42/1.40 (step @p5115 :rule eq-refl :args (tptp.emptyset)) % 0.42/1.40 (step @p5116 :rule refl :args (tptp.emptyset__Cong)) % 0.42/1.40 (step @p5117 :rule cong :premises (@p5116 @p5115) :args (@t380)) % 0.42/1.40 (step @p5118 :rule trans :premises (@p5117 @p5113)) % 0.42/1.40 (step @p5119 :rule eq_resolve :premises (@p68 @p5118)) % 0.42/1.40 (step @p5120 :rule eq_resolve :premises (@p5119 @p5114)) % 0.42/1.40 (step @p5121 :rule cong :premises (@p5120 @p5112) :args (@t3171)) % 0.42/1.40 (step @p5122 :rule bool-impl-elim :args (@t1615 @t1636)) % 0.42/1.40 (step @p5123 :rule cong :premises (@p5122) :args ((forall @t376 (=> @t1615 @t1636)))) % 0.42/1.40 (step @p5124 :rule cong :premises (@p4870 @p4850) :args (@t3172)) % 0.42/1.40 (step @p5125 :rule cong :premises (@p4891 @p5124) :args (@t3173)) % 0.42/1.40 (step @p5126 :rule cong :premises (@p5125) :args (@t3174)) % 0.42/1.40 (step @p5127 :rule trans :premises (@p5126 @p5123)) % 0.42/1.40 (step @p5128 :rule refl :args (tptp.exu__Cong)) % 0.42/1.40 (step @p5129 :rule cong :premises (@p5128 @p5127) :args ((= tptp.exu__Cong @t3174))) % 0.42/1.40 (step @p5130 :rule cong :premises (@p4913 @p4911) :args (@t370)) % 0.42/1.40 (step @p5131 :rule cong :premises (@p4915 @p5130) :args (@t375)) % 0.42/1.40 (step @p5132 :rule cong :premises (@p5131) :args (@t377)) % 0.42/1.40 (step @p5133 :rule cong :premises (@p5128 @p5132) :args (@t378)) % 0.42/1.40 (step @p5134 :rule trans :premises (@p5133 @p5129)) % 0.42/1.40 (step @p5135 :rule eq_resolve :premises (@p67 @p5134)) % 0.42/1.40 (step @p5136 :rule cong :premises (@p5135 @p5121) :args (@t3175)) % 0.42/1.40 (step @p5137 :rule refl :args (tptp.exuE3u)) % 0.42/1.40 (step @p5138 :rule cong :premises (@p5137 @p4956) :args ((= tptp.exuE3u @t3120))) % 0.42/1.40 (step @p5139 :rule cong :premises (@p5137 @p4961) :args (@t365)) % 0.42/1.40 (step @p5140 :rule trans :premises (@p5139 @p5138)) % 0.42/1.40 (step @p5141 :rule eq_resolve :premises (@p66 @p5140)) % 0.42/1.40 (step @p5142 :rule cong :premises (@p5141 @p5136) :args (@t3176)) % 0.42/1.40 (step @p5143 :rule bool-eq-true :args (tptp.in__Cong)) % 0.42/1.40 (step @p5144 :rule symm :premises (@p5143)) % 0.42/1.40 (step @p5145 :rule quant-unused-vars :args ((= (forall @t3178 true) true))) % 0.42/1.40 (step @p5146 :rule eq-refl :args (@t3179)) % 0.42/1.40 (step @p5147 :rule nary_cong :premises (@p4436 @p5146) :args (@t3180)) % 0.42/1.40 (step @p5148 :rule trans :premises (@p5147 @p4978)) % 0.42/1.40 (step @p5149 :rule cong :premises (@p5148) :args ((forall @t3178 @t3180))) % 0.42/1.40 (step @p5150 :rule trans :premises (@p5149 @p5145)) % 0.42/1.40 (step @p5151 :rule quant-var-elim-eq :args ((= (forall @t64 @t3182) @t3180))) % 0.42/1.40 (step @p5152 :rule aci_norm :args ((= @t3183 @t3182))) % 0.42/1.40 (step @p5153 :rule cong :premises (@p5152) :args (@t3184)) % 0.42/1.40 (step @p5154 :rule trans :premises (@p5153 @p5151)) % 0.42/1.40 (step @p5155 :rule cong :premises (@p5154) :args (@t3185)) % 0.42/1.40 (step @p5156 :rule quant-merge-prenex :args ((= @t3185 @t3186))) % 0.42/1.40 (step @p5157 :rule symm :premises (@p5156)) % 0.42/1.40 (step @p5158 :rule quant_var_reordering :args ((= @t3187 @t3186))) % 0.42/1.40 (step @p5159 :rule trans :premises (@p5158 @p5157 @p5155)) % 0.42/1.40 (step @p5160 :rule trans :premises (@p5159 @p5150)) % 0.42/1.40 (step @p5161 :rule quant-merge-prenex :args ((= (forall @t12 @t3189) @t3187))) % 0.42/1.40 (step @p5162 :rule alpha_equiv :args (@t3190 (@list @t3177) @t2070)) % 0.42/1.40 (step @p5163 :rule nary_cong :premises (@p4451 @p5162) :args (@t3191)) % 0.42/1.40 (step @p5164 :rule quant-miniscope-or :args ((= @t3189 @t3191))) % 0.42/1.40 (step @p5165 :rule trans :premises (@p5164 @p5163)) % 0.42/1.40 (step @p5166 :rule symm :premises (@p5165)) % 0.42/1.40 (step @p5167 :rule cong :premises (@p5166) :args ((forall @t12 (or @t443 @t3193)))) % 0.42/1.40 (step @p5168 :rule trans :premises (@p5167 @p5161)) % 0.42/1.40 (step @p5169 :rule trans :premises (@p5168 @p5160)) % 0.42/1.40 (step @p5170 :rule bool-impl-elim :args (@t3 @t3193)) % 0.42/1.40 (step @p5171 :rule cong :premises (@p5170) :args ((forall @t12 (=> @t3 @t3193)))) % 0.42/1.40 (step @p5172 :rule trans :premises (@p5171 @p5169)) % 0.42/1.40 (step @p5173 :rule aci_norm :args ((= (or false @t3192) @t3192))) % 0.42/1.40 (step @p5174 :rule refl :args (@t3192)) % 0.42/1.40 (step @p5175 :rule nary_cong :premises (@p2350 @p5174) :args (@t3194)) % 0.42/1.40 (step @p5176 :rule trans :premises (@p5175 @p5173)) % 0.42/1.40 (step @p5177 :rule cong :premises (@p5176) :args ((forall @t70 @t3194))) % 0.42/1.40 (step @p5178 :rule quant-var-elim-eq :args ((= (forall @t9 @t3196) @t3194))) % 0.42/1.40 (step @p5179 :rule aci_norm :args ((= @t3197 @t3196))) % 0.42/1.40 (step @p5180 :rule cong :premises (@p5179) :args (@t3198)) % 0.42/1.40 (step @p5181 :rule trans :premises (@p5180 @p5178)) % 0.42/1.40 (step @p5182 :rule cong :premises (@p5181) :args (@t3199)) % 0.42/1.40 (step @p5183 :rule quant-merge-prenex :args ((= @t3199 @t3200))) % 0.42/1.40 (step @p5184 :rule symm :premises (@p5183)) % 0.42/1.40 (step @p5185 :rule quant_var_reordering :args ((= (forall @t135 @t3197) @t3200))) % 0.42/1.40 (step @p5186 :rule trans :premises (@p5185 @p5184 @p5182)) % 0.42/1.40 (step @p5187 :rule trans :premises (@p5186 @p5177)) % 0.42/1.40 (step @p5188 :rule cong :premises (@p701 @p998) :args (@t358)) % 0.42/1.40 (step @p5189 :rule nary_cong :premises (@p2375 @p5188) :args (@t3201)) % 0.42/1.40 (step @p5190 :rule cong :premises (@p5189) :args ((forall @t135 @t3201))) % 0.42/1.40 (step @p5191 :rule trans :premises (@p5190 @p5187)) % 0.42/1.40 (step @p5192 :rule bool-impl-elim :args (@t129 @t358)) % 0.42/1.40 (step @p5193 :rule cong :premises (@p5192) :args (@t359)) % 0.42/1.40 (step @p5194 :rule trans :premises (@p5193 @p5191)) % 0.42/1.40 (step @p5195 :rule cong :premises (@p4735 @p5194) :args (@t360)) % 0.42/1.40 (step @p5196 :rule cong :premises (@p5195) :args (@t361)) % 0.42/1.40 (step @p5197 :rule trans :premises (@p5196 @p5172)) % 0.42/1.40 (step @p5198 :rule refl :args (tptp.in__Cong)) % 0.42/1.40 (step @p5199 :rule cong :premises (@p5198 @p5197) :args (@t362)) % 0.42/1.40 (step @p5200 :rule trans :premises (@p5199 @p5143)) % 0.42/1.40 (step @p5201 :rule eq_resolve :premises (@p65 @p5200)) % 0.42/1.40 (step @p5202 :rule eq_resolve :premises (@p5201 @p5144)) % 0.42/1.40 (step @p5203 :rule cong :premises (@p5202 @p5142) :args (@t3202)) % 0.42/1.40 (step @p5204 :rule bool-eq-true :args (tptp.inCongP)) % 0.42/1.40 (step @p5205 :rule symm :premises (@p5204)) % 0.42/1.40 (step @p5206 :rule quant-unused-vars :args ((= (forall @t3204 true) true))) % 0.42/1.40 (step @p5207 :rule bool-or-taut2 :args (false @t3205 false false)) % 0.42/1.40 (step @p5208 :rule cong :premises (@p5207) :args ((forall @t3204 @t3207))) % 0.42/1.40 (step @p5209 :rule trans :premises (@p5208 @p5206)) % 0.42/1.40 (step @p5210 :rule aci_norm :args ((= (or false @t3206 @t3205) @t3207))) % 0.42/1.40 (step @p5211 :rule refl :args (@t3205)) % 0.42/1.40 (step @p5212 :rule refl :args (@t3206)) % 0.42/1.40 (step @p5213 :rule nary_cong :premises (@p4436 @p5212 @p5211) :args (@t3208)) % 0.42/1.40 (step @p5214 :rule trans :premises (@p5213 @p5210)) % 0.42/1.40 (step @p5215 :rule cong :premises (@p5214) :args ((forall @t3204 @t3208))) % 0.42/1.40 (step @p5216 :rule trans :premises (@p5215 @p5209)) % 0.42/1.40 (step @p5217 :rule quant-var-elim-eq :args ((= (forall @t64 @t3210) @t3208))) % 0.42/1.40 (step @p5218 :rule aci_norm :args ((= @t3211 @t3210))) % 0.42/1.40 (step @p5219 :rule cong :premises (@p5218) :args (@t3212)) % 0.42/1.40 (step @p5220 :rule trans :premises (@p5219 @p5217)) % 0.42/1.40 (step @p5221 :rule cong :premises (@p5220) :args (@t3213)) % 0.42/1.40 (step @p5222 :rule quant-merge-prenex :args ((= @t3213 @t3214))) % 0.42/1.40 (step @p5223 :rule symm :premises (@p5222)) % 0.42/1.40 (step @p5224 :rule quant_var_reordering :args ((= (forall @t3215 @t3211) @t3214))) % 0.42/1.40 (step @p5225 :rule trans :premises (@p5224 @p5223 @p5221)) % 0.42/1.40 (step @p5226 :rule trans :premises (@p5225 @p5216)) % 0.42/1.40 (step @p5227 :rule aci_norm :args ((= @t3217 @t3211))) % 0.42/1.40 (step @p5228 :rule cong :premises (@p5227) :args (@t3218)) % 0.42/1.40 (step @p5229 :rule trans :premises (@p5228 @p5226)) % 0.42/1.40 (step @p5230 :rule quant-merge-prenex :args ((= (forall @t12 @t3220) @t3218))) % 0.42/1.40 (step @p5231 :rule alpha_equiv :args (@t3221 (@list @t3203) @t2070)) % 0.42/1.40 (step @p5232 :rule nary_cong :premises (@p4451 @p5231) :args (@t3222)) % 0.42/1.40 (step @p5233 :rule quant-miniscope-or :args ((= @t3220 @t3222))) % 0.42/1.40 (step @p5234 :rule trans :premises (@p5233 @p5232)) % 0.42/1.40 (step @p5235 :rule symm :premises (@p5234)) % 0.42/1.40 (step @p5236 :rule cong :premises (@p5235) :args ((forall @t12 (or @t443 @t3224)))) % 0.42/1.40 (step @p5237 :rule trans :premises (@p5236 @p5230)) % 0.42/1.40 (step @p5238 :rule trans :premises (@p5237 @p5229)) % 0.42/1.40 (step @p5239 :rule bool-impl-elim :args (@t3 @t3224)) % 0.42/1.40 (step @p5240 :rule cong :premises (@p5239) :args ((forall @t12 (=> @t3 @t3224)))) % 0.42/1.40 (step @p5241 :rule trans :premises (@p5240 @p5238)) % 0.42/1.40 (step @p5242 :rule aci_norm :args ((= (or false @t1395 @t1265) @t3223))) % 0.42/1.40 (step @p5243 :rule refl :args (@t1395)) % 0.42/1.40 (step @p5244 :rule nary_cong :premises (@p2350 @p5243 @p1712) :args (@t3225)) % 0.42/1.40 (step @p5245 :rule trans :premises (@p5244 @p5242)) % 0.42/1.40 (step @p5246 :rule cong :premises (@p5245) :args ((forall @t70 @t3225))) % 0.42/1.40 (step @p5247 :rule quant-var-elim-eq :args ((= (forall @t9 @t3226) @t3225))) % 0.42/1.40 (step @p5248 :rule aci_norm :args ((= @t3227 @t3226))) % 0.42/1.40 (step @p5249 :rule cong :premises (@p5248) :args (@t3228)) % 0.42/1.40 (step @p5250 :rule trans :premises (@p5249 @p5247)) % 0.42/1.40 (step @p5251 :rule cong :premises (@p5250) :args (@t3229)) % 0.42/1.40 (step @p5252 :rule quant-merge-prenex :args ((= @t3229 @t3230))) % 0.42/1.40 (step @p5253 :rule symm :premises (@p5252)) % 0.42/1.40 (step @p5254 :rule quant_var_reordering :args ((= (forall @t135 @t3227) @t3230))) % 0.42/1.40 (step @p5255 :rule trans :premises (@p5254 @p5253 @p5251)) % 0.42/1.40 (step @p5256 :rule trans :premises (@p5255 @p5246)) % 0.42/1.40 (step @p5257 :rule nary_cong :premises (@p2375 @p702 @p998) :args (@t3231)) % 0.42/1.40 (step @p5258 :rule cong :premises (@p5257) :args ((forall @t135 @t3231))) % 0.42/1.40 (step @p5259 :rule trans :premises (@p5258 @p5256)) % 0.42/1.40 (step @p5260 :rule aci_norm :args ((= (or @t282 (or @t197 @t352)) @t3231))) % 0.42/1.40 (step @p5261 :rule bool-impl-elim :args (@t7 @t352)) % 0.42/1.40 (step @p5262 :rule nary_cong :premises (@p2375 @p5261) :args ((or @t282 @t353))) % 0.42/1.40 (step @p5263 :rule trans :premises (@p5262 @p5260)) % 0.42/1.40 (step @p5264 :rule bool-impl-elim :args (@t129 @t353)) % 0.42/1.40 (step @p5265 :rule trans :premises (@p5264 @p5263)) % 0.42/1.40 (step @p5266 :rule cong :premises (@p5265) :args (@t354)) % 0.42/1.40 (step @p5267 :rule trans :premises (@p5266 @p5259)) % 0.42/1.40 (step @p5268 :rule cong :premises (@p4735 @p5267) :args (@t355)) % 0.42/1.40 (step @p5269 :rule cong :premises (@p5268) :args (@t356)) % 0.42/1.40 (step @p5270 :rule trans :premises (@p5269 @p5241)) % 0.42/1.40 (step @p5271 :rule refl :args (tptp.inCongP)) % 0.42/1.40 (step @p5272 :rule cong :premises (@p5271 @p5270) :args (@t357)) % 0.42/1.40 (step @p5273 :rule trans :premises (@p5272 @p5204)) % 0.42/1.40 (step @p5274 :rule eq_resolve :premises (@p64 @p5273)) % 0.42/1.40 (step @p5275 :rule eq_resolve :premises (@p5274 @p5205)) % 0.42/1.40 (step @p5276 :rule cong :premises (@p5275 @p5203) :args (@t3232)) % 0.42/1.40 (step @p5277 :rule refl :args (@t1635)) % 0.42/1.40 (step @p5278 :rule eq-symm :args (@t1638 @t19)) % 0.42/1.40 (step @p5279 :rule refl :args (@t1392)) % 0.42/1.40 (step @p5280 :rule cong :premises (@p5279 @p5278) :args ((= @t1392 @t3233))) % 0.42/1.40 (step @p5281 :rule eq-symm :args (@t3233 @t1392)) % 0.42/1.40 (step @p5282 :rule trans :premises (@p5281 @p5280)) % 0.42/1.40 (step @p5283 :rule cong :premises (@p5282) :args (@t3234)) % 0.42/1.40 (step @p5284 :rule cong :premises (@p5283) :args (@t3235)) % 0.42/1.40 (step @p5285 :rule nary_cong :premises (@p5284 @p5277) :args (@t3236)) % 0.42/1.40 (step @p5286 :rule cong :premises (@p5285) :args (@t3237)) % 0.42/1.40 (step @p5287 :rule quant-merge-prenex :args ((= (forall @t150 @t3239) @t3237))) % 0.42/1.40 (step @p5288 :rule refl :args (@t1635)) % 0.42/1.40 (step @p5289 :rule alpha_equiv :args (@t3240 (@list @t1638) @t2061)) % 0.42/1.40 (step @p5290 :rule nary_cong :premises (@p5289 @p5288) :args (@t3241)) % 0.42/1.40 (step @p5291 :rule quant-miniscope-or :args ((= @t3239 @t3241))) % 0.42/1.40 (step @p5292 :rule trans :premises (@p5291 @p5290)) % 0.42/1.40 (step @p5293 :rule symm :premises (@p5292)) % 0.42/1.40 (step @p5294 :rule cong :premises (@p5293) :args ((forall @t150 (or @t1689 @t1635)))) % 0.42/1.40 (step @p5295 :rule trans :premises (@p5294 @p5287)) % 0.42/1.40 (step @p5296 :rule trans :premises (@p5295 @p5286)) % 0.42/1.40 (step @p5297 :rule bool-double-not-elim :args (@t1689)) % 0.42/1.40 (step @p5298 :rule nary_cong :premises (@p5297 @p5288) :args ((or (not @t1690) @t1635))) % 0.42/1.40 (step @p5299 :rule bool-impl-elim :args (@t1690 @t1635)) % 0.42/1.40 (step @p5300 :rule trans :premises (@p5299 @p5298)) % 0.42/1.40 (step @p5301 :rule cong :premises (@p5300) :args ((forall @t150 (=> @t1690 @t1635)))) % 0.42/1.40 (step @p5302 :rule trans :premises (@p5301 @p5296)) % 0.42/1.40 (step @p5303 :rule exists-elim :args ((= (exists @t9 @t1688) @t1690))) % 0.42/1.40 (step @p5304 :rule eq-symm :args (@t1392 @t129)) % 0.42/1.40 (step @p5305 :rule cong :premises (@p5304) :args ((forall @t70 (= @t1392 @t129)))) % 0.42/1.40 (step @p5306 :rule cong :premises (@p716 @p711) :args (@t3242)) % 0.42/1.40 (step @p5307 :rule cong :premises (@p5306) :args ((forall @t70 @t3242))) % 0.42/1.40 (step @p5308 :rule trans :premises (@p5307 @p5305)) % 0.42/1.40 (step @p5309 :rule cong :premises (@p2768 @p2767) :args (@t263)) % 0.42/1.40 (step @p5310 :rule cong :premises (@p5309) :args (@t264)) % 0.42/1.40 (step @p5311 :rule trans :premises (@p5310 @p5308)) % 0.42/1.40 (step @p5312 :rule cong :premises (@p5311) :args (@t265)) % 0.42/1.40 (step @p5313 :rule trans :premises (@p5312 @p5303)) % 0.42/1.40 (step @p5314 :rule cong :premises (@p5313 @p4870) :args (@t3243)) % 0.42/1.40 (step @p5315 :rule cong :premises (@p5314) :args (@t3244)) % 0.42/1.40 (step @p5316 :rule trans :premises (@p5315 @p5302)) % 0.42/1.40 (step @p5317 :rule refl :args (tptp.exuI2)) % 0.42/1.40 (step @p5318 :rule cong :premises (@p5317 @p5316) :args ((= tptp.exuI2 @t3244))) % 0.42/1.40 (step @p5319 :rule refl :args (@t265)) % 0.42/1.40 (step @p5320 :rule cong :premises (@p5319 @p4913) :args (@t349)) % 0.42/1.40 (step @p5321 :rule cong :premises (@p5320) :args (@t350)) % 0.42/1.40 (step @p5322 :rule cong :premises (@p5317 @p5321) :args (@t351)) % 0.42/1.40 (step @p5323 :rule trans :premises (@p5322 @p5318)) % 0.42/1.40 (step @p5324 :rule eq_resolve :premises (@p63 @p5323)) % 0.42/1.40 (step @p5325 :rule cong :premises (@p5324 @p5276) :args (@t3245)) % 0.42/1.40 (step @p5326 :rule quant-merge-prenex :args ((= (forall @t150 @t3247) @t1646))) % 0.42/1.40 (step @p5327 :rule refl :args (@t1642)) % 0.42/1.40 (step @p5328 :rule alpha_equiv :args (@t3248 (@list @t1643) @t2061)) % 0.42/1.40 (step @p5329 :rule nary_cong :premises (@p5328 @p5327 @p5288) :args (@t3249)) % 0.42/1.40 (step @p5330 :rule quant-miniscope-or :args ((= @t3247 @t3249))) % 0.42/1.40 (step @p5331 :rule trans :premises (@p5330 @p5329)) % 0.42/1.40 (step @p5332 :rule symm :premises (@p5331)) % 0.42/1.40 (step @p5333 :rule cong :premises (@p5332) :args ((forall @t150 @t3250))) % 0.42/1.40 (step @p5334 :rule trans :premises (@p5333 @p5326)) % 0.42/1.40 (step @p5335 :rule aci_norm :args ((= (or @t1752 (or @t1642 @t1635)) @t3250))) % 0.42/1.40 (step @p5336 :rule bool-impl-elim :args (@t1641 @t1635)) % 0.42/1.40 (step @p5337 :rule refl :args (@t1752)) % 0.42/1.40 (step @p5338 :rule nary_cong :premises (@p5337 @p5336) :args ((or @t1752 @t3251))) % 0.42/1.40 (step @p5339 :rule trans :premises (@p5338 @p5335)) % 0.42/1.40 (step @p5340 :rule refl :args (@t3251)) % 0.42/1.40 (step @p5341 :rule bool-double-not-elim :args (@t1752)) % 0.42/1.40 (step @p5342 :rule nary_cong :premises (@p5341 @p5340) :args ((or (not @t1753) @t3251))) % 0.42/1.40 (step @p5343 :rule bool-impl-elim :args (@t1753 @t3251)) % 0.42/1.40 (step @p5344 :rule trans :premises (@p5343 @p5342)) % 0.42/1.40 (step @p5345 :rule trans :premises (@p5344 @p5339)) % 0.42/1.40 (step @p5346 :rule cong :premises (@p5345) :args ((forall @t150 (=> @t1753 @t3251)))) % 0.42/1.40 (step @p5347 :rule trans :premises (@p5346 @p5334)) % 0.42/1.40 (step @p5348 :rule cong :premises (@p4953 @p4870) :args (@t3252)) % 0.42/1.40 (step @p5349 :rule cong :premises (@p696) :args (@t3253)) % 0.42/1.40 (step @p5350 :rule cong :premises (@p5349) :args (@t3254)) % 0.42/1.40 (step @p5351 :rule exists-elim :args ((= @t186 @t3254))) % 0.42/1.40 (step @p5352 :rule trans :premises (@p5351 @p5350)) % 0.42/1.40 (step @p5353 :rule cong :premises (@p5352 @p5348) :args (@t3255)) % 0.42/1.40 (step @p5354 :rule cong :premises (@p5353) :args (@t3256)) % 0.42/1.40 (step @p5355 :rule trans :premises (@p5354 @p5347)) % 0.42/1.40 (step @p5356 :rule refl :args (tptp.exuI3)) % 0.42/1.40 (step @p5357 :rule cong :premises (@p5356 @p5355) :args ((= tptp.exuI3 @t3256))) % 0.42/1.40 (step @p5358 :rule cong :premises (@p4959 @p4913) :args (@t345)) % 0.42/1.40 (step @p5359 :rule refl :args (@t186)) % 0.42/1.40 (step @p5360 :rule cong :premises (@p5359 @p5358) :args (@t346)) % 0.42/1.40 (step @p5361 :rule cong :premises (@p5360) :args (@t347)) % 0.42/1.40 (step @p5362 :rule cong :premises (@p5356 @p5361) :args (@t348)) % 0.42/1.40 (step @p5363 :rule trans :premises (@p5362 @p5357)) % 0.42/1.40 (step @p5364 :rule eq_resolve :premises (@p62 @p5363)) % 0.42/1.40 (step @p5365 :rule cong :premises (@p5364 @p5325) :args (@t3257)) % 0.42/1.40 (step @p5366 :rule bool-eq-true :args (tptp.exuI1)) % 0.42/1.40 (step @p5367 :rule symm :premises (@p5366)) % 0.42/1.40 (step @p5368 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 0.42/1.40 (step @p5369 :rule bool-or-taut :args (false @t1634 false false)) % 0.42/1.40 (step @p5370 :rule nary_cong :premises (@p4818 @p5288) :args ((or @t3063 @t1635))) % 0.42/1.40 (step @p5371 :rule bool-impl-elim :args (@t1635 @t1635)) % 0.42/1.40 (step @p5372 :rule trans :premises (@p5371 @p5370)) % 0.42/1.40 (step @p5373 :rule trans :premises (@p5372 @p5369)) % 0.42/1.40 (step @p5374 :rule cong :premises (@p5373) :args ((forall @t150 (=> @t1635 @t1635)))) % 0.42/1.40 (step @p5375 :rule trans :premises (@p5374 @p5368)) % 0.42/1.40 (step @p5376 :rule cong :premises (@p4908 @p4870) :args (@t3258)) % 0.42/1.40 (step @p5377 :rule cong :premises (@p5376) :args (@t3259)) % 0.42/1.40 (step @p5378 :rule trans :premises (@p5377 @p5375)) % 0.42/1.40 (step @p5379 :rule refl :args (tptp.exuI1)) % 0.42/1.40 (step @p5380 :rule cong :premises (@p5379 @p5378) :args ((= tptp.exuI1 @t3259))) % 0.42/1.40 (step @p5381 :rule trans :premises (@p5380 @p5366)) % 0.42/1.40 (step @p5382 :rule refl :args (@t169)) % 0.42/1.40 (step @p5383 :rule cong :premises (@p5382 @p4913) :args (@t340)) % 0.42/1.40 (step @p5384 :rule cong :premises (@p5383) :args (@t341)) % 0.42/1.40 (step @p5385 :rule cong :premises (@p5379 @p5384) :args (@t342)) % 0.42/1.40 (step @p5386 :rule trans :premises (@p5385 @p5381)) % 0.42/1.40 (step @p5387 :rule eq_resolve :premises (@p61 @p5386)) % 0.42/1.40 (step @p5388 :rule eq_resolve :premises (@p5387 @p5367)) % 0.42/1.40 (step @p5389 :rule cong :premises (@p5388 @p5365) :args (@t3260)) % 0.42/1.40 (step @p5390 :rule bool-eq-true :args (tptp.notdallE)) % 0.42/1.40 (step @p5391 :rule symm :premises (@p5390)) % 0.42/1.40 (step @p5392 :rule bool-eq-true :args (tptp.notdallE)) % 0.42/1.40 (step @p5393 :rule eq-symm :args (true tptp.notdallE)) % 0.42/1.40 (step @p5394 :rule trans :premises (@p5393 @p5392)) % 0.42/1.40 (step @p5395 :rule refl :args (tptp.notdallE)) % 0.42/1.40 (step @p5396 :rule quant-unused-vars :args ((= (forall @t309 true) true))) % 0.42/1.40 (step @p5397 :rule bool-or-taut :args (false @t3261 false false)) % 0.42/1.40 (step @p5398 :rule refl :args (@t3262)) % 0.42/1.40 (step @p5399 :rule bool-double-not-elim :args (@t3261)) % 0.42/1.40 (step @p5400 :rule nary_cong :premises (@p5399 @p5398) :args ((or (not @t3262) @t3262))) % 0.42/1.40 (step @p5401 :rule bool-impl-elim :args (@t3262 @t3262)) % 0.42/1.40 (step @p5402 :rule trans :premises (@p5401 @p5400)) % 0.42/1.40 (step @p5403 :rule trans :premises (@p5402 @p5397)) % 0.42/1.40 (step @p5404 :rule cong :premises (@p5403) :args ((forall @t309 (=> @t3262 @t3262)))) % 0.42/1.40 (step @p5405 :rule trans :premises (@p5404 @p5396)) % 0.42/1.40 (step @p5406 :rule nary_cong :premises (@p702 @p695) :args (@t3263)) % 0.42/1.40 (step @p5407 :rule cong :premises (@p5406) :args ((forall @t9 @t3263))) % 0.42/1.40 (step @p5408 :rule bool-double-not-elim :args (@t144)) % 0.42/1.40 (step @p5409 :rule nary_cong :premises (@p2710 @p5408) :args ((or @t197 (not @t315)))) % 0.42/1.40 (step @p5410 :rule bool-and-de-morgan :args (@t7 @t315 true)) % 0.42/1.40 (step @p5411 :rule trans :premises (@p5410 @p5409)) % 0.42/1.40 (step @p5412 :rule cong :premises (@p5411) :args (@t3264)) % 0.42/1.40 (step @p5413 :rule trans :premises (@p5412 @p5407)) % 0.42/1.40 (step @p5414 :rule cong :premises (@p5413) :args (@t3265)) % 0.42/1.40 (step @p5415 :rule exists-elim :args ((= @t317 @t3265))) % 0.42/1.40 (step @p5416 :rule trans :premises (@p5415 @p5414)) % 0.42/1.40 (step @p5417 :rule bool-impl-elim :args (@t7 @t144)) % 0.42/1.40 (step @p5418 :rule cong :premises (@p5417) :args (@t318)) % 0.42/1.40 (step @p5419 :rule trans :premises (@p5418 @p5407)) % 0.42/1.40 (step @p5420 :rule cong :premises (@p5419) :args (@t319)) % 0.42/1.40 (step @p5421 :rule cong :premises (@p5420 @p5416) :args (@t320)) % 0.42/1.40 (step @p5422 :rule cong :premises (@p5421) :args (@t321)) % 0.42/1.40 (step @p5423 :rule trans :premises (@p5422 @p5405)) % 0.42/1.40 (step @p5424 :rule cong :premises (@p5423 @p5395) :args ((= @t321 tptp.notdallE))) % 0.42/1.40 (step @p5425 :rule trans :premises (@p5424 @p5394)) % 0.42/1.40 (step @p5426 :rule eq-symm :args (tptp.notdallE @t321)) % 0.42/1.40 (step @p5427 :rule trans :premises (@p5426 @p5425)) % 0.42/1.40 (step @p5428 :rule eq_resolve :premises (@p60 @p5427)) % 0.42/1.40 (step @p5429 :rule eq_resolve :premises (@p5428 @p5391)) % 0.42/1.40 (step @p5430 :rule cong :premises (@p5429 @p5389) :args (@t3266)) % 0.42/1.40 (step @p5431 :rule bool-eq-true :args (tptp.notdexE)) % 0.42/1.40 (step @p5432 :rule symm :premises (@p5431)) % 0.42/1.40 (step @p5433 :rule bool-eq-true :args (tptp.notdexE)) % 0.42/1.40 (step @p5434 :rule eq-symm :args (true tptp.notdexE)) % 0.42/1.40 (step @p5435 :rule trans :premises (@p5434 @p5433)) % 0.42/1.40 (step @p5436 :rule refl :args (tptp.notdexE)) % 0.42/1.40 (step @p5437 :rule bool-or-taut2 :args (false @t1402 false false)) % 0.42/1.40 (step @p5438 :rule bool-impl-elim :args (@t1402 @t1402)) % 0.42/1.40 (step @p5439 :rule trans :premises (@p5438 @p5437)) % 0.42/1.40 (step @p5440 :rule cong :premises (@p5439) :args ((forall @t309 (=> @t1402 @t1402)))) % 0.42/1.40 (step @p5441 :rule trans :premises (@p5440 @p5396)) % 0.42/1.40 (step @p5442 :rule bool-impl-elim :args (@t7 @t315)) % 0.42/1.40 (step @p5443 :rule cong :premises (@p5442) :args (@t324)) % 0.42/1.40 (step @p5444 :rule trans :premises (@p5443 @p2678)) % 0.42/1.40 (step @p5445 :rule bool-double-not-elim :args (@t1402)) % 0.42/1.40 (step @p5446 :rule cong :premises (@p2684) :args (@t323)) % 0.42/1.40 (step @p5447 :rule trans :premises (@p5446 @p5445)) % 0.42/1.40 (step @p5448 :rule cong :premises (@p5447 @p5444) :args (@t328)) % 0.42/1.40 (step @p5449 :rule cong :premises (@p5448) :args (@t329)) % 0.42/1.40 (step @p5450 :rule trans :premises (@p5449 @p5441)) % 0.42/1.40 (step @p5451 :rule cong :premises (@p5450 @p5436) :args ((= @t329 tptp.notdexE))) % 0.42/1.40 (step @p5452 :rule trans :premises (@p5451 @p5435)) % 0.42/1.40 (step @p5453 :rule eq-symm :args (tptp.notdexE @t329)) % 0.42/1.40 (step @p5454 :rule trans :premises (@p5453 @p5452)) % 0.42/1.40 (step @p5455 :rule eq_resolve :premises (@p59 @p5454)) % 0.42/1.40 (step @p5456 :rule eq_resolve :premises (@p5455 @p5432)) % 0.42/1.40 (step @p5457 :rule cong :premises (@p5456 @p5430) :args (@t3267)) % 0.42/1.40 (step @p5458 :rule aci_norm :args ((= (or false @t1649) @t1649))) % 0.42/1.40 (step @p5459 :rule nary_cong :premises (@p2311 @p576) :args (@t3268)) % 0.42/1.40 (step @p5460 :rule trans :premises (@p5459 @p5458)) % 0.42/1.40 (step @p5461 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3271 @t2836 @t3270)) @t3268))) % 0.42/1.40 (step @p5462 :rule refl :args (@t3270)) % 0.42/1.40 (step @p5463 :rule bool-eq-true :args (@t173)) % 0.42/1.40 (step @p5464 :rule symm :premises (@p5463)) % 0.42/1.40 (step @p5465 :rule cong :premises (@p5464) :args (@t2836)) % 0.42/1.40 (step @p5466 :rule nary_cong :premises (@p5465 @p3599 @p5462) :args (@t3272)) % 0.42/1.40 (step @p5467 :rule aci_norm :args ((= @t3273 @t3272))) % 0.42/1.40 (step @p5468 :rule trans :premises (@p5467 @p5466)) % 0.42/1.40 (step @p5469 :rule cong :premises (@p5468) :args ((forall @t179 @t3273))) % 0.42/1.40 (step @p5470 :rule trans :premises (@p5469 @p5461)) % 0.42/1.40 (step @p5471 :rule trans :premises (@p5470 @p5460)) % 0.42/1.40 (step @p5472 :rule refl :args ((tptp.set2prop @t174))) % 0.42/1.40 (step @p5473 :rule refl :args (@t3269)) % 0.42/1.40 (step @p5474 :rule cong :premises (@p5473) :args (@t3270)) % 0.42/1.40 (step @p5475 :rule trans :premises (@p5474 @p5472)) % 0.42/1.40 (step @p5476 :rule refl :args (tptp.set2prop)) % 0.42/1.40 (step @p5477 :rule ho_cong :premises (@p5476 @p5473)) % 0.42/1.40 (step @p5478 :rule cong :premises (@p5477 @p5475) :args ((= (_ tptp.set2prop @t3269) @t3270))) % 0.42/1.40 (step @p5479 :rule symm :premises (@p5478)) % 0.42/1.40 (step @p5480 :rule refl :args (@t337)) % 0.42/1.40 (step @p5481 :rule eq_resolve :premises (@p5480 @p5479)) % 0.42/1.40 (step @p5482 :rule refl :args (@t174)) % 0.42/1.40 (step @p5483 :rule cong :premises (@p5482 @p5473) :args ((= @t174 @t3269))) % 0.42/1.40 (step @p5484 :rule symm :premises (@p5483)) % 0.42/1.40 (step @p5485 :rule eq_resolve :premises (@p5482 @p5484)) % 0.42/1.40 (step @p5486 :rule ho_cong :premises (@p5476 @p5485)) % 0.42/1.40 (step @p5487 :rule trans :premises (@p5486 @p5481)) % 0.42/1.40 (step @p5488 :rule nary_cong :premises (@p3599 @p5487) :args (@t3274)) % 0.42/1.40 (step @p5489 :rule cong :premises (@p5488) :args ((forall @t179 @t3274))) % 0.42/1.40 (step @p5490 :rule trans :premises (@p5489 @p5471)) % 0.42/1.40 (step @p5491 :rule bool-impl-elim :args (@t173 @t337)) % 0.42/1.40 (step @p5492 :rule cong :premises (@p5491) :args (@t338)) % 0.42/1.40 (step @p5493 :rule trans :premises (@p5492 @p5490)) % 0.42/1.40 (step @p5494 :rule refl :args (tptp.prop2set2propI)) % 0.42/1.40 (step @p5495 :rule cong :premises (@p5494 @p5493) :args (@t339)) % 0.42/1.40 (step @p5496 :rule eq_resolve :premises (@p58 @p5495)) % 0.42/1.40 (step @p5497 :rule cong :premises (@p5496 @p5457) :args (@t3275)) % 0.42/1.40 (step @p5498 :rule aci_norm :args ((= (or false @t1651) @t1651))) % 0.42/1.40 (step @p5499 :rule nary_cong :premises (@p2311 @p578) :args (@t3276)) % 0.42/1.40 (step @p5500 :rule trans :premises (@p5499 @p5498)) % 0.42/1.40 (step @p5501 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3271 @t2836 @t3277)) @t3276))) % 0.42/1.40 (step @p5502 :rule refl :args (@t3277)) % 0.42/1.40 (step @p5503 :rule nary_cong :premises (@p5465 @p3599 @p5502) :args (@t3278)) % 0.42/1.40 (step @p5504 :rule aci_norm :args ((= @t3279 @t3278))) % 0.42/1.40 (step @p5505 :rule trans :premises (@p5504 @p5503)) % 0.42/1.40 (step @p5506 :rule cong :premises (@p5505) :args ((forall @t179 @t3279))) % 0.42/1.40 (step @p5507 :rule trans :premises (@p5506 @p5501)) % 0.42/1.40 (step @p5508 :rule trans :premises (@p5507 @p5500)) % 0.42/1.40 (step @p5509 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 0.42/1.40 (step @p5510 :rule cong :premises (@p265 @p5473) :args (@t3277)) % 0.42/1.40 (step @p5511 :rule trans :premises (@p5510 @p5509)) % 0.42/1.40 (step @p5512 :rule ho_cong :premises (@p268 @p5473)) % 0.42/1.40 (step @p5513 :rule cong :premises (@p5512 @p5511) :args ((= (_ @t49 @t3269) @t3277))) % 0.42/1.40 (step @p5514 :rule symm :premises (@p5513)) % 0.42/1.40 (step @p5515 :rule refl :args (@t334)) % 0.42/1.40 (step @p5516 :rule eq_resolve :premises (@p5515 @p5514)) % 0.42/1.40 (step @p5517 :rule ho_cong :premises (@p268 @p5485)) % 0.42/1.40 (step @p5518 :rule trans :premises (@p5517 @p5516)) % 0.42/1.40 (step @p5519 :rule nary_cong :premises (@p3599 @p5518) :args (@t3280)) % 0.42/1.40 (step @p5520 :rule cong :premises (@p5519) :args ((forall @t179 @t3280))) % 0.42/1.40 (step @p5521 :rule trans :premises (@p5520 @p5508)) % 0.42/1.40 (step @p5522 :rule bool-impl-elim :args (@t173 @t334)) % 0.42/1.40 (step @p5523 :rule cong :premises (@p5522) :args (@t335)) % 0.42/1.40 (step @p5524 :rule trans :premises (@p5523 @p5521)) % 0.42/1.40 (step @p5525 :rule refl :args (tptp.prop2setI)) % 0.42/1.40 (step @p5526 :rule cong :premises (@p5525 @p5524) :args (@t336)) % 0.42/1.40 (step @p5527 :rule eq_resolve :premises (@p57 @p5526)) % 0.42/1.40 (step @p5528 :rule cong :premises (@p5527 @p5497) :args (@t3281)) % 0.42/1.40 (step @p5529 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 0.42/1.40 (step @p5530 :rule symm :premises (@p5529)) % 0.42/1.40 (step @p5531 :rule cong :premises (@p5416 @p5420) :args (@t331)) % 0.42/1.40 (step @p5532 :rule cong :premises (@p5531) :args (@t332)) % 0.42/1.40 (step @p5533 :rule trans :premises (@p5532 @p5405)) % 0.42/1.40 (step @p5534 :rule refl :args (tptp.quantDeMorgan4)) % 0.42/1.40 (step @p5535 :rule cong :premises (@p5534 @p5533) :args (@t333)) % 0.42/1.40 (step @p5536 :rule trans :premises (@p5535 @p5529)) % 0.42/1.40 (step @p5537 :rule eq_resolve :premises (@p56 @p5536)) % 0.42/1.40 (step @p5538 :rule eq_resolve :premises (@p5537 @p5530)) % 0.42/1.40 (step @p5539 :rule cong :premises (@p5538 @p5528) :args (@t3282)) % 0.42/1.40 (step @p5540 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 0.42/1.40 (step @p5541 :rule symm :premises (@p5540)) % 0.42/1.40 (step @p5542 :rule refl :args (tptp.quantDeMorgan3)) % 0.42/1.40 (step @p5543 :rule cong :premises (@p5542 @p5450) :args (@t330)) % 0.42/1.40 (step @p5544 :rule trans :premises (@p5543 @p5540)) % 0.42/1.40 (step @p5545 :rule eq_resolve :premises (@p55 @p5544)) % 0.42/1.40 (step @p5546 :rule eq_resolve :premises (@p5545 @p5541)) % 0.42/1.40 (step @p5547 :rule cong :premises (@p5546 @p5539) :args (@t3283)) % 0.42/1.40 (step @p5548 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 0.42/1.40 (step @p5549 :rule symm :premises (@p5548)) % 0.42/1.40 (step @p5550 :rule cong :premises (@p5444 @p5447) :args (@t325)) % 0.42/1.40 (step @p5551 :rule cong :premises (@p5550) :args (@t326)) % 0.42/1.40 (step @p5552 :rule trans :premises (@p5551 @p5441)) % 0.42/1.40 (step @p5553 :rule refl :args (tptp.quantDeMorgan2)) % 0.42/1.40 (step @p5554 :rule cong :premises (@p5553 @p5552) :args (@t327)) % 0.42/1.40 (step @p5555 :rule trans :premises (@p5554 @p5548)) % 0.42/1.40 (step @p5556 :rule eq_resolve :premises (@p54 @p5555)) % 0.42/1.40 (step @p5557 :rule eq_resolve :premises (@p5556 @p5549)) % 0.42/1.40 (step @p5558 :rule cong :premises (@p5557 @p5547) :args (@t3284)) % 0.42/1.40 (step @p5559 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 0.42/1.40 (step @p5560 :rule symm :premises (@p5559)) % 0.42/1.40 (step @p5561 :rule refl :args (tptp.quantDeMorgan1)) % 0.42/1.40 (step @p5562 :rule cong :premises (@p5561 @p5423) :args (@t322)) % 0.42/1.40 (step @p5563 :rule trans :premises (@p5562 @p5559)) % 0.42/1.40 (step @p5564 :rule eq_resolve :premises (@p53 @p5563)) % 0.42/1.40 (step @p5565 :rule eq_resolve :premises (@p5564 @p5560)) % 0.42/1.40 (step @p5566 :rule cong :premises (@p5565 @p5558) :args (@t3285)) % 0.42/1.40 (step @p5567 :rule refl :args (@t1653)) % 0.42/1.40 (step @p5568 :rule refl :args (@t15)) % 0.42/1.40 (step @p5569 :rule cong :premises (@p5568 @p5567) :args ((= @t15 @t1653))) % 0.42/1.40 (step @p5570 :rule symm :premises (@p5569)) % 0.42/1.40 (step @p5571 :rule eq_resolve :premises (@p5568 @p5570)) % 0.42/1.40 (step @p5572 :rule cong :premises (@p5571) :args (@t16)) % 0.42/1.40 (step @p5573 :rule nary_cong :premises (@p5572 @p695) :args (@t3286)) % 0.42/1.40 (step @p5574 :rule cong :premises (@p5573) :args ((forall @t312 @t3286))) % 0.42/1.40 (step @p5575 :rule bool-impl-elim :args (@t15 @t144)) % 0.42/1.40 (step @p5576 :rule cong :premises (@p5575) :args (@t313)) % 0.42/1.40 (step @p5577 :rule trans :premises (@p5576 @p5574)) % 0.42/1.40 (step @p5578 :rule refl :args (tptp.vacuousDall)) % 0.42/1.40 (step @p5579 :rule cong :premises (@p5578 @p5577) :args (@t314)) % 0.42/1.40 (step @p5580 :rule eq_resolve :premises (@p52 @p5579)) % 0.42/1.40 (step @p5581 :rule cong :premises (@p5580 @p5566) :args (@t3287)) % 0.42/1.40 (step @p5582 :rule aci_norm :args ((= @t3289 @t1661))) % 0.42/1.40 (step @p5583 :rule cong :premises (@p5582) :args (@t3290)) % 0.42/1.40 (step @p5584 :rule quant-merge-prenex :args ((= (forall @t309 @t3292) @t3290))) % 0.42/1.40 (step @p5585 :rule refl :args (@t1660)) % 0.42/1.40 (step @p5586 :rule alpha_equiv :args (@t3293 (@list @t1657) @t2061)) % 0.42/1.40 (step @p5587 :rule nary_cong :premises (@p5586 @p5585) :args (@t3294)) % 0.42/1.40 (step @p5588 :rule quant-miniscope-or :args ((= @t3292 @t3294))) % 0.42/1.40 (step @p5589 :rule trans :premises (@p5588 @p5587)) % 0.42/1.40 (step @p5590 :rule symm :premises (@p5589)) % 0.42/1.40 (step @p5591 :rule cong :premises (@p5590) :args ((forall @t309 (or @t1402 @t1660)))) % 0.42/1.40 (step @p5592 :rule trans :premises (@p5591 @p5584)) % 0.42/1.40 (step @p5593 :rule trans :premises (@p5592 @p5583)) % 0.42/1.40 (step @p5594 :rule cong :premises (@p218 @p4171) :args (@t3295)) % 0.42/1.40 (step @p5595 :rule cong :premises (@p5594) :args (@t3296)) % 0.42/1.40 (step @p5596 :rule refl :args (@t1402)) % 0.42/1.40 (step @p5597 :rule nary_cong :premises (@p5596 @p5595) :args (@t3297)) % 0.42/1.40 (step @p5598 :rule cong :premises (@p5597) :args ((forall @t309 @t3297))) % 0.42/1.40 (step @p5599 :rule trans :premises (@p5598 @p5593)) % 0.42/1.40 (step @p5600 :rule cong :premises (@p265 @p4194) :args (@t3298)) % 0.42/1.40 (step @p5601 :rule cong :premises (@p5600) :args (@t3299)) % 0.42/1.40 (step @p5602 :rule refl :args (@t1402)) % 0.42/1.40 (step @p5603 :rule nary_cong :premises (@p5602 @p5601) :args (@t3300)) % 0.42/1.40 (step @p5604 :rule cong :premises (@p5603) :args ((forall @t309 @t3300))) % 0.42/1.40 (step @p5605 :rule trans :premises (@p5604 @p5599)) % 0.42/1.40 (step @p5606 :rule refl :args (@t3299)) % 0.42/1.40 (step @p5607 :rule nary_cong :premises (@p2667 @p5606) :args ((or @t2640 @t3299))) % 0.42/1.40 (step @p5608 :rule bool-impl-elim :args (@t1403 @t3299)) % 0.42/1.40 (step @p5609 :rule trans :premises (@p5608 @p5607)) % 0.42/1.40 (step @p5610 :rule cong :premises (@p5609) :args ((forall @t309 (=> @t1403 @t3299)))) % 0.42/1.40 (step @p5611 :rule trans :premises (@p5610 @p5605)) % 0.42/1.40 (step @p5612 :rule eq-symm :args (@t304 tptp.emptyset)) % 0.42/1.40 (step @p5613 :rule cong :premises (@p5612) :args ((not @t305))) % 0.42/1.40 (step @p5614 :rule bool-impl-false1 :args (@t305)) % 0.42/1.40 (step @p5615 :rule trans :premises (@p5614 @p5613)) % 0.42/1.40 (step @p5616 :rule cong :premises (@p2684 @p5615) :args (@t308)) % 0.42/1.40 (step @p5617 :rule cong :premises (@p5616) :args (@t310)) % 0.42/1.40 (step @p5618 :rule trans :premises (@p5617 @p5611)) % 0.42/1.40 (step @p5619 :rule refl :args (tptp.emptyE1)) % 0.42/1.40 (step @p5620 :rule cong :premises (@p5619 @p5618) :args (@t311)) % 0.42/1.40 (step @p5621 :rule eq_resolve :premises (@p51 @p5620)) % 0.42/1.40 (step @p5622 :rule cong :premises (@p5621 @p5581) :args (@t3301)) % 0.42/1.40 (step @p5623 :rule refl :args (tptp.upairsetIR)) % 0.42/1.40 (step @p5624 :rule cong :premises (@p5623 @p3464) :args (@t303)) % 0.42/1.40 (step @p5625 :rule eq_resolve :premises (@p50 @p5624)) % 0.42/1.40 (step @p5626 :rule cong :premises (@p5625 @p5622) :args (@t3302)) % 0.42/1.40 (step @p5627 :rule refl :args ((tptp.in @t4 @t291))) % 0.42/1.40 (step @p5628 :rule cong :premises (@p774 @p2252) :args (@t1666)) % 0.42/1.40 (step @p5629 :rule trans :premises (@p5628 @p5627)) % 0.42/1.40 (step @p5630 :rule ho_cong :premises (@p2910 @p2252)) % 0.42/1.40 (step @p5631 :rule cong :premises (@p5630 @p5629) :args ((= (_ @t5 @t1327) @t1666))) % 0.42/1.40 (step @p5632 :rule symm :premises (@p5631)) % 0.42/1.40 (step @p5633 :rule refl :args (@t298)) % 0.42/1.40 (step @p5634 :rule eq_resolve :premises (@p5633 @p5632)) % 0.42/1.40 (step @p5635 :rule ho_cong :premises (@p2910 @p2280)) % 0.42/1.40 (step @p5636 :rule trans :premises (@p5635 @p5634)) % 0.42/1.40 (step @p5637 :rule cong :premises (@p5636) :args (@t299)) % 0.42/1.40 (step @p5638 :rule refl :args (tptp.upairsetIL)) % 0.42/1.40 (step @p5639 :rule cong :premises (@p5638 @p5637) :args (@t300)) % 0.42/1.40 (step @p5640 :rule eq_resolve :premises (@p49 @p5639)) % 0.42/1.40 (step @p5641 :rule cong :premises (@p5640 @p5626) :args (@t3303)) % 0.42/1.40 (step @p5642 :rule refl :args (tptp.upairsetE)) % 0.42/1.40 (step @p5643 :rule cong :premises (@p5642 @p3307) :args (@t297)) % 0.42/1.40 (step @p5644 :rule eq_resolve :premises (@p48 @p5643)) % 0.42/1.40 (step @p5645 :rule cong :premises (@p5644 @p5641) :args (@t3304)) % 0.42/1.40 (step @p5646 :rule refl :args ((tptp.in @t19 @t279))) % 0.42/1.40 (step @p5647 :rule cong :premises (@p1051 @p854) :args (@t1670)) % 0.42/1.40 (step @p5648 :rule trans :premises (@p5647 @p5646)) % 0.42/1.40 (step @p5649 :rule ho_cong :premises (@p3417 @p854)) % 0.42/1.40 (step @p5650 :rule cong :premises (@p5649 @p5648) :args ((= (_ @t20 @t1315) @t1670))) % 0.42/1.40 (step @p5651 :rule symm :premises (@p5650)) % 0.42/1.40 (step @p5652 :rule refl :args (@t280)) % 0.42/1.40 (step @p5653 :rule eq_resolve :premises (@p5652 @p5651)) % 0.42/1.40 (step @p5654 :rule ho_cong :premises (@p3417 @p858)) % 0.42/1.40 (step @p5655 :rule trans :premises (@p5654 @p5653)) % 0.42/1.40 (step @p5656 :rule refl :args ((tptp.in @t4 @t275))) % 0.42/1.40 (step @p5657 :rule cong :premises (@p774 @p2250) :args (@t1671)) % 0.42/1.40 (step @p5658 :rule trans :premises (@p5657 @p5656)) % 0.42/1.40 (step @p5659 :rule ho_cong :premises (@p2910 @p2250)) % 0.42/1.40 (step @p5660 :rule cong :premises (@p5659 @p5658) :args ((= (_ @t5 @t1326) @t1671))) % 0.42/1.40 (step @p5661 :rule symm :premises (@p5660)) % 0.42/1.40 (step @p5662 :rule refl :args (@t276)) % 0.42/1.40 (step @p5663 :rule eq_resolve :premises (@p5662 @p5661)) % 0.42/1.40 (step @p5664 :rule ho_cong :premises (@p2910 @p2278)) % 0.42/1.40 (step @p5665 :rule trans :premises (@p5664 @p5663)) % 0.42/1.40 (step @p5666 :rule cong :premises (@p5665) :args (@t3305)) % 0.42/1.40 (step @p5667 :rule nary_cong :premises (@p5666 @p5655) :args (@t3306)) % 0.42/1.40 (step @p5668 :rule cong :premises (@p5667) :args ((forall @t135 @t3306))) % 0.42/1.40 (step @p5669 :rule bool-impl-elim :args (@t276 @t280)) % 0.42/1.40 (step @p5670 :rule cong :premises (@p5669) :args (@t287)) % 0.42/1.40 (step @p5671 :rule trans :premises (@p5670 @p5668)) % 0.42/1.40 (step @p5672 :rule refl :args (tptp.singletonsswitch)) % 0.42/1.40 (step @p5673 :rule cong :premises (@p5672 @p5671) :args (@t288)) % 0.42/1.40 (step @p5674 :rule eq_resolve :premises (@p47 @p5673)) % 0.42/1.40 (step @p5675 :rule cong :premises (@p5674 @p5645) :args (@t3307)) % 0.42/1.40 (step @p5676 :rule aci_norm :args ((= (or false @t1675) @t1675))) % 0.42/1.40 (step @p5677 :rule refl :args (@t1675)) % 0.42/1.40 (step @p5678 :rule nary_cong :premises (@p2350 @p5677) :args (@t3308)) % 0.42/1.40 (step @p5679 :rule trans :premises (@p5678 @p5676)) % 0.42/1.40 (step @p5680 :rule cong :premises (@p5679) :args ((forall @t70 @t3308))) % 0.42/1.40 (step @p5681 :rule quant-var-elim-eq :args ((= (forall @t9 @t3309) @t3308))) % 0.42/1.40 (step @p5682 :rule aci_norm :args ((= @t3310 @t3309))) % 0.42/1.40 (step @p5683 :rule cong :premises (@p5682) :args (@t3311)) % 0.42/1.40 (step @p5684 :rule trans :premises (@p5683 @p5681)) % 0.42/1.40 (step @p5685 :rule cong :premises (@p5684) :args (@t3312)) % 0.42/1.40 (step @p5686 :rule quant-merge-prenex :args ((= @t3312 @t3313))) % 0.42/1.40 (step @p5687 :rule symm :premises (@p5686)) % 0.42/1.40 (step @p5688 :rule quant_var_reordering :args ((= (forall @t135 @t3310) @t3313))) % 0.42/1.40 (step @p5689 :rule trans :premises (@p5688 @p5687 @p5685)) % 0.42/1.40 (step @p5690 :rule trans :premises (@p5689 @p5680)) % 0.42/1.40 (step @p5691 :rule nary_cong :premises (@p2375 @p5665) :args (@t3314)) % 0.42/1.40 (step @p5692 :rule cong :premises (@p5691) :args ((forall @t135 @t3314))) % 0.42/1.40 (step @p5693 :rule trans :premises (@p5692 @p5690)) % 0.42/1.40 (step @p5694 :rule bool-impl-elim :args (@t129 @t276)) % 0.42/1.40 (step @p5695 :rule cong :premises (@p5694) :args (@t285)) % 0.42/1.40 (step @p5696 :rule trans :premises (@p5695 @p5693)) % 0.42/1.40 (step @p5697 :rule refl :args (tptp.eqinunit)) % 0.42/1.40 (step @p5698 :rule cong :premises (@p5697 @p5696) :args (@t286)) % 0.42/1.40 (step @p5699 :rule eq_resolve :premises (@p46 @p5698)) % 0.42/1.40 (step @p5700 :rule cong :premises (@p5699 @p5675) :args (@t3315)) % 0.42/1.40 (step @p5701 :rule cong :premises (@p5655) :args (@t281)) % 0.42/1.40 (step @p5702 :rule nary_cong :premises (@p711 @p5701) :args (@t3316)) % 0.42/1.40 (step @p5703 :rule cong :premises (@p5702) :args ((forall @t135 @t3316))) % 0.42/1.40 (step @p5704 :rule refl :args (@t281)) % 0.42/1.40 (step @p5705 :rule bool-double-not-elim :args (@t129)) % 0.42/1.40 (step @p5706 :rule nary_cong :premises (@p5705 @p5704) :args ((or (not @t282) @t281))) % 0.42/1.40 (step @p5707 :rule bool-impl-elim :args (@t282 @t281)) % 0.42/1.40 (step @p5708 :rule trans :premises (@p5707 @p5706)) % 0.42/1.40 (step @p5709 :rule cong :premises (@p5708) :args (@t283)) % 0.42/1.40 (step @p5710 :rule trans :premises (@p5709 @p5703)) % 0.42/1.40 (step @p5711 :rule refl :args (tptp.notinsingleton)) % 0.42/1.40 (step @p5712 :rule cong :premises (@p5711 @p5710) :args (@t284)) % 0.42/1.40 (step @p5713 :rule eq_resolve :premises (@p45 @p5712)) % 0.42/1.40 (step @p5714 :rule cong :premises (@p5713 @p5700) :args (@t3317)) % 0.42/1.40 (step @p5715 :rule nary_cong :premises (@p5666 @p711) :args (@t3318)) % 0.42/1.40 (step @p5716 :rule cong :premises (@p5715) :args ((forall @t135 @t3318))) % 0.42/1.40 (step @p5717 :rule bool-impl-elim :args (@t276 @t129)) % 0.42/1.40 (step @p5718 :rule cong :premises (@p5717) :args (@t277)) % 0.42/1.40 (step @p5719 :rule trans :premises (@p5718 @p5716)) % 0.42/1.40 (step @p5720 :rule refl :args (tptp.uniqinunit)) % 0.42/1.40 (step @p5721 :rule cong :premises (@p5720 @p5719) :args (@t278)) % 0.42/1.40 (step @p5722 :rule eq_resolve :premises (@p44 @p5721)) % 0.42/1.40 (step @p5723 :rule cong :premises (@p5722 @p5714) :args (@t3319)) % 0.42/1.40 (step @p5724 :rule refl :args (@t1683)) % 0.42/1.40 (step @p5725 :rule bool-double-not-elim :args (@t196)) % 0.42/1.40 (step @p5726 :rule nary_cong :premises (@p5725 @p5724) :args ((or (not @t3320) @t1683))) % 0.42/1.40 (step @p5727 :rule bool-impl-elim :args (@t3320 @t1683)) % 0.42/1.40 (step @p5728 :rule trans :premises (@p5727 @p5726)) % 0.42/1.40 (step @p5729 :rule cong :premises (@p5728) :args ((forall @t64 (=> @t3320 @t1683)))) % 0.42/1.40 (step @p5730 :rule cong :premises (@p702) :args (@t198)) % 0.42/1.40 (step @p5731 :rule cong :premises (@p5730) :args (@t3321)) % 0.42/1.40 (step @p5732 :rule exists-elim :args ((= @t89 @t3321))) % 0.42/1.40 (step @p5733 :rule trans :premises (@p5732 @p5731)) % 0.42/1.40 (step @p5734 :rule aci_norm :args ((= @t269 @t7))) % 0.42/1.40 (step @p5735 :rule cong :premises (@p5734) :args (@t270)) % 0.42/1.40 (step @p5736 :rule trans :premises (@p5735 @p5733)) % 0.42/1.40 (step @p5737 :rule beta-reduce :args ((= @t3322 @t3320))) % 0.42/1.40 (step @p5738 :rule cong :premises (@p5737 @p5736) :args (@t3323)) % 0.42/1.40 (step @p5739 :rule cong :premises (@p5738) :args (@t3324)) % 0.42/1.40 (step @p5740 :rule trans :premises (@p5739 @p5729)) % 0.42/1.40 (step @p5741 :rule refl :args (tptp.nonemptyImpWitness)) % 0.42/1.40 (step @p5742 :rule cong :premises (@p5741 @p5740) :args ((= tptp.nonemptyImpWitness @t3324))) % 0.42/1.40 (step @p5743 :rule refl :args (@t270)) % 0.42/1.40 (step @p5744 :rule ho_cong :premises (@p204 @p753)) % 0.42/1.40 (step @p5745 :rule cong :premises (@p5744 @p5743) :args (@t271)) % 0.42/1.40 (step @p5746 :rule cong :premises (@p5745) :args (@t272)) % 0.42/1.40 (step @p5747 :rule cong :premises (@p5741 @p5746) :args (@t273)) % 0.42/1.40 (step @p5748 :rule trans :premises (@p5747 @p5742)) % 0.42/1.40 (step @p5749 :rule eq_resolve :premises (@p43 @p5748)) % 0.42/1.40 (step @p5750 :rule cong :premises (@p5749 @p5723) :args (@t3325)) % 0.42/1.40 (step @p5751 :rule eq-symm :args (@t1686 @t19)) % 0.42/1.40 (step @p5752 :rule nary_cong :premises (@p4750 @p5751) :args (@t3326)) % 0.42/1.40 (step @p5753 :rule cong :premises (@p5752) :args (@t3327)) % 0.42/1.40 (step @p5754 :rule cong :premises (@p5753) :args (@t3328)) % 0.42/1.40 (step @p5755 :rule refl :args (@t1687)) % 0.42/1.40 (step @p5756 :rule refl :args (@t1690)) % 0.42/1.40 (step @p5757 :rule nary_cong :premises (@p5756 @p5755 @p5754) :args (@t3329)) % 0.42/1.40 (step @p5758 :rule aci_norm :args ((= @t3331 @t3329))) % 0.42/1.40 (step @p5759 :rule trans :premises (@p5758 @p5757)) % 0.42/1.40 (step @p5760 :rule cong :premises (@p5759) :args (@t3332)) % 0.42/1.40 (step @p5761 :rule quant-merge-prenex :args ((= (forall @t150 @t3334) @t3332))) % 0.42/1.40 (step @p5762 :rule refl :args (@t1690)) % 0.42/1.40 (step @p5763 :rule alpha_equiv :args (@t3335 (@list @t1686) @t2061)) % 0.42/1.40 (step @p5764 :rule nary_cong :premises (@p5763 @p5762) :args (@t3336)) % 0.42/1.40 (step @p5765 :rule quant-miniscope-or :args ((= @t3334 @t3336))) % 0.42/1.40 (step @p5766 :rule trans :premises (@p5765 @p5764)) % 0.42/1.40 (step @p5767 :rule symm :premises (@p5766)) % 0.42/1.40 (step @p5768 :rule cong :premises (@p5767) :args ((forall @t150 (or @t1634 @t1690)))) % 0.42/1.40 (step @p5769 :rule trans :premises (@p5768 @p5761)) % 0.42/1.40 (step @p5770 :rule trans :premises (@p5769 @p5760)) % 0.42/1.40 (step @p5771 :rule nary_cong :premises (@p4818 @p5762) :args ((or @t3063 @t1690))) % 0.42/1.40 (step @p5772 :rule bool-impl-elim :args (@t1635 @t1690)) % 0.42/1.40 (step @p5773 :rule trans :premises (@p5772 @p5771)) % 0.42/1.40 (step @p5774 :rule cong :premises (@p5773) :args ((forall @t150 (=> @t1635 @t1690)))) % 0.42/1.40 (step @p5775 :rule trans :premises (@p5774 @p5770)) % 0.42/1.40 (step @p5776 :rule cong :premises (@p4870 @p5313) :args (@t3337)) % 0.42/1.40 (step @p5777 :rule cong :premises (@p5776) :args (@t3338)) % 0.42/1.40 (step @p5778 :rule trans :premises (@p5777 @p5775)) % 0.42/1.40 (step @p5779 :rule refl :args (tptp.exuE2)) % 0.42/1.40 (step @p5780 :rule cong :premises (@p5779 @p5778) :args ((= tptp.exuE2 @t3338))) % 0.42/1.40 (step @p5781 :rule cong :premises (@p4913 @p5319) :args (@t266)) % 0.42/1.40 (step @p5782 :rule cong :premises (@p5781) :args (@t267)) % 0.42/1.40 (step @p5783 :rule cong :premises (@p5779 @p5782) :args (@t268)) % 0.42/1.40 (step @p5784 :rule trans :premises (@p5783 @p5780)) % 0.42/1.40 (step @p5785 :rule eq_resolve :premises (@p42 @p5784)) % 0.42/1.40 (step @p5786 :rule cong :premises (@p5785 @p5750) :args (@t3339)) % 0.42/1.40 (step @p5787 :rule refl :args ((tptp.in @t4 @t259))) % 0.42/1.40 (step @p5788 :rule refl :args ((tptp.powerset @t43))) % 0.42/1.40 (step @p5789 :rule cong :premises (@p2907) :args (@t1694)) % 0.42/1.40 (step @p5790 :rule trans :premises (@p5789 @p5788)) % 0.42/1.40 (step @p5791 :rule cong :premises (@p774 @p5790) :args (@t1695)) % 0.42/1.40 (step @p5792 :rule trans :premises (@p5791 @p5787)) % 0.42/1.40 (step @p5793 :rule ho_cong :premises (@p2910 @p5790)) % 0.42/1.40 (step @p5794 :rule cong :premises (@p5793 @p5792) :args ((= (_ @t5 @t1694) @t1695))) % 0.42/1.40 (step @p5795 :rule symm :premises (@p5794)) % 0.42/1.40 (step @p5796 :rule refl :args (@t260)) % 0.42/1.40 (step @p5797 :rule eq_resolve :premises (@p5796 @p5795)) % 0.42/1.40 (step @p5798 :rule ho_cong :premises (@p3078 @p2907)) % 0.42/1.40 (step @p5799 :rule cong :premises (@p5798 @p5790) :args ((= (_ tptp.powerset @t1418) @t1694))) % 0.42/1.40 (step @p5800 :rule symm :premises (@p5799)) % 0.42/1.40 (step @p5801 :rule refl :args (@t259)) % 0.42/1.40 (step @p5802 :rule eq_resolve :premises (@p5801 @p5800)) % 0.42/1.40 (step @p5803 :rule ho_cong :premises (@p3078 @p2919)) % 0.42/1.40 (step @p5804 :rule trans :premises (@p5803 @p5802)) % 0.42/1.40 (step @p5805 :rule ho_cong :premises (@p2910 @p5804)) % 0.42/1.40 (step @p5806 :rule trans :premises (@p5805 @p5797)) % 0.42/1.40 (step @p5807 :rule nary_cong :premises (@p702 @p5806) :args (@t3340)) % 0.42/1.40 (step @p5808 :rule cong :premises (@p5807) :args ((forall @t46 @t3340))) % 0.42/1.40 (step @p5809 :rule bool-impl-elim :args (@t7 @t260)) % 0.42/1.40 (step @p5810 :rule cong :premises (@p5809) :args (@t261)) % 0.42/1.40 (step @p5811 :rule trans :premises (@p5810 @p5808)) % 0.42/1.40 (step @p5812 :rule refl :args (tptp.subPowSU)) % 0.42/1.40 (step @p5813 :rule cong :premises (@p5812 @p5811) :args (@t262)) % 0.42/1.40 (step @p5814 :rule eq_resolve :premises (@p41 @p5813)) % 0.42/1.40 (step @p5815 :rule cong :premises (@p5814 @p5786) :args (@t3341)) % 0.42/1.40 (step @p5816 :rule refl :args (@t1701)) % 0.42/1.40 (step @p5817 :rule nary_cong :premises (@p2922 @p5816) :args (@t3342)) % 0.42/1.40 (step @p5818 :rule cong :premises (@p5817) :args ((forall @t46 @t3342))) % 0.42/1.40 (step @p5819 :rule bool-impl-elim :args (@t44 @t1701)) % 0.42/1.40 (step @p5820 :rule cong :premises (@p5819) :args ((forall @t46 (=> @t44 @t1701)))) % 0.42/1.40 (step @p5821 :rule trans :premises (@p5820 @p5818)) % 0.42/1.40 (step @p5822 :rule aci_norm :args ((= (and true @t1701) @t1701))) % 0.42/1.40 (step @p5823 :rule refl :args (@t1701)) % 0.42/1.40 (step @p5824 :rule nary_cong :premises (@p3572 @p5823) :args (@t3343)) % 0.42/1.40 (step @p5825 :rule trans :premises (@p5824 @p5822)) % 0.42/1.40 (step @p5826 :rule aci_norm :args ((= @t3344 @t3343))) % 0.42/1.40 (step @p5827 :rule trans :premises (@p5826 @p5825)) % 0.42/1.40 (step @p5828 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2839 @t3345 @t173)) @t3344))) % 0.42/1.40 (step @p5829 :rule refl :args (@t3345)) % 0.42/1.40 (step @p5830 :rule nary_cong :premises (@p3592 @p5829 @p3584) :args (@t3346)) % 0.42/1.40 (step @p5831 :rule aci_norm :args ((= @t3347 @t3346))) % 0.42/1.40 (step @p5832 :rule trans :premises (@p5831 @p5830)) % 0.42/1.40 (step @p5833 :rule cong :premises (@p5832) :args ((forall @t179 @t3347))) % 0.42/1.40 (step @p5834 :rule trans :premises (@p5833 @p5828)) % 0.42/1.40 (step @p5835 :rule trans :premises (@p5834 @p5827)) % 0.42/1.40 (step @p5836 :rule bool-or-de-morgan :args (@t173 @t1700 false)) % 0.42/1.40 (step @p5837 :rule nary_cong :premises (@p5836 @p3584) :args ((or (not @t3348) @t173))) % 0.42/1.40 (step @p5838 :rule bool-impl-elim :args (@t3348 @t173)) % 0.42/1.40 (step @p5839 :rule trans :premises (@p5838 @p5837)) % 0.42/1.40 (step @p5840 :rule cong :premises (@p5839) :args ((forall @t179 (=> @t3348 @t173)))) % 0.42/1.40 (step @p5841 :rule trans :premises (@p5840 @p5835)) % 0.42/1.40 (step @p5842 :rule refl :args (@t173)) % 0.42/1.40 (step @p5843 :rule refl :args (@t1698)) % 0.42/1.40 (step @p5844 :rule refl :args (@t39)) % 0.42/1.40 (step @p5845 :rule cong :premises (@p5844 @p5843) :args ((= @t39 @t1698))) % 0.42/1.40 (step @p5846 :rule symm :premises (@p5845)) % 0.42/1.40 (step @p5847 :rule eq_resolve :premises (@p5844 @p5846)) % 0.42/1.40 (step @p5848 :rule cong :premises (@p5847) :args (@t3349)) % 0.42/1.40 (step @p5849 :rule nary_cong :premises (@p3514 @p5848) :args (@t3350)) % 0.42/1.40 (step @p5850 :rule cong :premises (@p5849) :args (@t3351)) % 0.42/1.40 (step @p5851 :rule nary_cong :premises (@p5842 @p5850) :args (@t3352)) % 0.42/1.40 (step @p5852 :rule quant-miniscope-or :args ((= (forall @t41 @t3353) @t3352))) % 0.42/1.40 (step @p5853 :rule aci_norm :args ((= @t3354 @t3353))) % 0.42/1.40 (step @p5854 :rule cong :premises (@p5853) :args ((forall @t41 @t3354))) % 0.42/1.40 (step @p5855 :rule trans :premises (@p5854 @p5852)) % 0.42/1.40 (step @p5856 :rule trans :premises (@p5855 @p5851)) % 0.42/1.40 (step @p5857 :rule aci_norm :args ((= (or @t435 (or @t3349 @t173)) @t3354))) % 0.42/1.40 (step @p5858 :rule bool-impl-elim :args (@t39 @t173)) % 0.42/1.40 (step @p5859 :rule refl :args (@t435)) % 0.42/1.40 (step @p5860 :rule nary_cong :premises (@p5859 @p5858) :args ((or @t435 @t252))) % 0.42/1.40 (step @p5861 :rule trans :premises (@p5860 @p5857)) % 0.42/1.40 (step @p5862 :rule bool-impl-elim :args (@t6 @t252)) % 0.42/1.40 (step @p5863 :rule trans :premises (@p5862 @p5861)) % 0.42/1.40 (step @p5864 :rule cong :premises (@p5863) :args (@t253)) % 0.42/1.40 (step @p5865 :rule trans :premises (@p5864 @p5856)) % 0.42/1.40 (step @p5866 :rule cong :premises (@p5865 @p5842) :args (@t254)) % 0.42/1.40 (step @p5867 :rule cong :premises (@p5866) :args (@t255)) % 0.42/1.40 (step @p5868 :rule trans :premises (@p5867 @p5841)) % 0.42/1.40 (step @p5869 :rule cong :premises (@p2948 @p5868) :args (@t256)) % 0.42/1.40 (step @p5870 :rule cong :premises (@p5869) :args (@t257)) % 0.42/1.40 (step @p5871 :rule trans :premises (@p5870 @p5821)) % 0.42/1.40 (step @p5872 :rule refl :args (tptp.setunionE)) % 0.42/1.40 (step @p5873 :rule cong :premises (@p5872 @p5871) :args (@t258)) % 0.42/1.40 (step @p5874 :rule eq_resolve :premises (@p40 @p5873)) % 0.42/1.40 (step @p5875 :rule cong :premises (@p5874 @p5815) :args (@t3355)) % 0.42/1.40 (step @p5876 :rule nary_cong :premises (@p3514 @p5848 @p2921) :args (@t3356)) % 0.42/1.40 (step @p5877 :rule cong :premises (@p5876) :args ((forall @t249 @t3356))) % 0.42/1.40 (step @p5878 :rule aci_norm :args ((= (or @t435 (or @t3349 @t44)) @t3356))) % 0.42/1.40 (step @p5879 :rule bool-impl-elim :args (@t39 @t44)) % 0.42/1.40 (step @p5880 :rule nary_cong :premises (@p5859 @p5879) :args ((or @t435 @t248))) % 0.42/1.40 (step @p5881 :rule trans :premises (@p5880 @p5878)) % 0.42/1.40 (step @p5882 :rule bool-impl-elim :args (@t6 @t248)) % 0.42/1.40 (step @p5883 :rule trans :premises (@p5882 @p5881)) % 0.42/1.40 (step @p5884 :rule cong :premises (@p5883) :args (@t250)) % 0.42/1.40 (step @p5885 :rule trans :premises (@p5884 @p5877)) % 0.42/1.40 (step @p5886 :rule refl :args (tptp.setunionI)) % 0.42/1.40 (step @p5887 :rule cong :premises (@p5886 @p5885) :args (@t251)) % 0.42/1.40 (step @p5888 :rule eq_resolve :premises (@p39 @p5887)) % 0.42/1.40 (step @p5889 :rule cong :premises (@p5888 @p5875) :args (@t3357)) % 0.42/1.40 (step @p5890 :rule nary_cong :premises (@p4278 @p3514 @p701) :args (@t3358)) % 0.42/1.40 (step @p5891 :rule cong :premises (@p5890) :args ((forall @t245 @t3358))) % 0.42/1.40 (step @p5892 :rule aci_norm :args ((= (or @t2939 @t3359) @t3358))) % 0.42/1.40 (step @p5893 :rule bool-impl-elim :args (@t6 @t7)) % 0.42/1.40 (step @p5894 :rule refl :args (@t2939)) % 0.42/1.40 (step @p5895 :rule nary_cong :premises (@p5894 @p5893) :args ((or @t2939 @t31))) % 0.42/1.40 (step @p5896 :rule trans :premises (@p5895 @p5892)) % 0.42/1.40 (step @p5897 :rule bool-impl-elim :args (@t35 @t31)) % 0.42/1.40 (step @p5898 :rule trans :premises (@p5897 @p5896)) % 0.42/1.40 (step @p5899 :rule cong :premises (@p5898) :args (@t246)) % 0.42/1.40 (step @p5900 :rule trans :premises (@p5899 @p5891)) % 0.42/1.40 (step @p5901 :rule refl :args (tptp.powersetE)) % 0.42/1.40 (step @p5902 :rule cong :premises (@p5901 @p5900) :args (@t247)) % 0.42/1.40 (step @p5903 :rule eq_resolve :premises (@p38 @p5902)) % 0.42/1.40 (step @p5904 :rule cong :premises (@p5903 @p5889) :args (@t3360)) % 0.42/1.40 (step @p5905 :rule eq-symm :args (@t1709 tptp.emptyInPowerset)) % 0.42/1.40 (step @p5906 :rule refl :args (tptp.emptyInPowerset)) % 0.42/1.40 (step @p5907 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 0.42/1.40 (step @p5908 :rule cong :premises (@p265 @p3336) :args (@t1708)) % 0.42/1.40 (step @p5909 :rule trans :premises (@p5908 @p5907)) % 0.42/1.40 (step @p5910 :rule ho_cong :premises (@p268 @p3336)) % 0.42/1.40 (step @p5911 :rule cong :premises (@p5910 @p5909) :args ((= (_ @t49 @t1474) @t1708))) % 0.42/1.40 (step @p5912 :rule symm :premises (@p5911)) % 0.42/1.40 (step @p5913 :rule refl :args (@t242)) % 0.42/1.40 (step @p5914 :rule eq_resolve :premises (@p5913 @p5912)) % 0.42/1.40 (step @p5915 :rule ho_cong :premises (@p268 @p3347)) % 0.42/1.40 (step @p5916 :rule trans :premises (@p5915 @p5914)) % 0.42/1.40 (step @p5917 :rule cong :premises (@p5916) :args (@t243)) % 0.42/1.40 (step @p5918 :rule cong :premises (@p5917 @p5906) :args ((= @t243 tptp.emptyInPowerset))) % 0.42/1.40 (step @p5919 :rule trans :premises (@p5918 @p5905)) % 0.42/1.40 (step @p5920 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 0.42/1.40 (step @p5921 :rule trans :premises (@p5920 @p5919)) % 0.42/1.40 (step @p5922 :rule eq_resolve :premises (@p37 @p5921)) % 0.42/1.40 (step @p5923 :rule cong :premises (@p5922 @p5904) :args (@t3361)) % 0.42/1.40 (step @p5924 :rule refl :args (tptp.emptyinPowerset)) % 0.42/1.40 (step @p5925 :rule cong :premises (@p5924 @p5917) :args (@t244)) % 0.42/1.40 (step @p5926 :rule eq_resolve :premises (@p36 @p5925)) % 0.42/1.40 (step @p5927 :rule cong :premises (@p5926 @p5923) :args (@t3362)) % 0.42/1.40 (step @p5928 :rule refl :args (@t1713)) % 0.42/1.40 (step @p5929 :rule nary_cong :premises (@p5928 @p4277) :args (@t3363)) % 0.42/1.40 (step @p5930 :rule cong :premises (@p5929) :args ((forall @t12 @t3363))) % 0.42/1.40 (step @p5931 :rule bool-impl-elim :args (@t1712 @t35)) % 0.42/1.40 (step @p5932 :rule cong :premises (@p5931) :args ((forall @t12 (=> @t1712 @t35)))) % 0.42/1.40 (step @p5933 :rule trans :premises (@p5932 @p5930)) % 0.42/1.40 (step @p5934 :rule refl :args (@t35)) % 0.42/1.40 (step @p5935 :rule nary_cong :premises (@p3514 @p701) :args (@t3359)) % 0.42/1.40 (step @p5936 :rule cong :premises (@p5935) :args ((forall @t9 @t3359))) % 0.42/1.40 (step @p5937 :rule cong :premises (@p5893) :args (@t32)) % 0.42/1.40 (step @p5938 :rule trans :premises (@p5937 @p5936)) % 0.42/1.40 (step @p5939 :rule cong :premises (@p5938 @p5934) :args (@t239)) % 0.42/1.40 (step @p5940 :rule cong :premises (@p5939) :args (@t240)) % 0.42/1.40 (step @p5941 :rule trans :premises (@p5940 @p5933)) % 0.42/1.40 (step @p5942 :rule refl :args (tptp.powersetI)) % 0.42/1.40 (step @p5943 :rule cong :premises (@p5942 @p5941) :args (@t241)) % 0.42/1.40 (step @p5944 :rule eq_resolve :premises (@p35 @p5943)) % 0.42/1.40 (step @p5945 :rule cong :premises (@p5944 @p5927) :args (@t3364)) % 0.42/1.40 (step @p5946 :rule refl :args (@t1718)) % 0.42/1.40 (step @p5947 :rule refl :args (@t1717)) % 0.42/1.40 (step @p5948 :rule cong :premises (@p769 @p5947) :args (@t1718)) % 0.42/1.40 (step @p5949 :rule trans :premises (@p5948 @p5946)) % 0.42/1.40 (step @p5950 :rule ho_cong :premises (@p815 @p5947)) % 0.42/1.40 (step @p5951 :rule cong :premises (@p5950 @p5949) :args ((= @t3365 @t1718))) % 0.42/1.40 (step @p5952 :rule symm :premises (@p5951)) % 0.42/1.40 (step @p5953 :rule refl :args ((_ @t155 @t1717))) % 0.42/1.40 (step @p5954 :rule eq_resolve :premises (@p5953 @p5952)) % 0.42/1.40 (step @p5955 :rule cong :premises (@p769 @p5954) :args (@t3366)) % 0.42/1.40 (step @p5956 :rule cong :premises (@p5955) :args ((forall @t64 @t3366))) % 0.42/1.40 (step @p5957 :rule eq-symm :args (@t3365 @t2)) % 0.42/1.40 (step @p5958 :rule symm :premises (@p5947)) % 0.42/1.40 (step @p5959 :rule alpha_equiv :args (@t235 @t2061 (@list @t1716))) % 0.42/1.40 (step @p5960 :rule trans :premises (@p5959 @p5958)) % 0.42/1.40 (step @p5961 :rule refl :args (@t155)) % 0.42/1.40 (step @p5962 :rule ho_cong :premises (@p5961 @p5960)) % 0.42/1.40 (step @p5963 :rule cong :premises (@p5962 @p753) :args (@t236)) % 0.42/1.40 (step @p5964 :rule trans :premises (@p5963 @p5957)) % 0.42/1.40 (step @p5965 :rule cong :premises (@p5964) :args (@t237)) % 0.42/1.40 (step @p5966 :rule trans :premises (@p5965 @p5956)) % 0.42/1.40 (step @p5967 :rule refl :args (tptp.setoftrueEq)) % 0.42/1.40 (step @p5968 :rule cong :premises (@p5967 @p5966) :args (@t238)) % 0.42/1.40 (step @p5969 :rule eq_resolve :premises (@p34 @p5968)) % 0.42/1.40 (step @p5970 :rule cong :premises (@p5969 @p5945) :args (@t3367)) % 0.42/1.40 (step @p5971 :rule refl :args ((tptp.in @t19 @t25))) % 0.42/1.40 (step @p5972 :rule cong :premises (@p1051 @p4373) :args (@t1721)) % 0.42/1.40 (step @p5973 :rule trans :premises (@p5972 @p5971)) % 0.42/1.40 (step @p5974 :rule ho_cong :premises (@p3417 @p4373)) % 0.42/1.40 (step @p5975 :rule cong :premises (@p5974 @p5973) :args ((= (_ @t20 @t1577) @t1721))) % 0.42/1.40 (step @p5976 :rule symm :premises (@p5975)) % 0.42/1.40 (step @p5977 :rule refl :args (@t26)) % 0.42/1.40 (step @p5978 :rule eq_resolve :premises (@p5977 @p5976)) % 0.42/1.40 (step @p5979 :rule ho_cong :premises (@p3417 @p4384)) % 0.42/1.40 (step @p5980 :rule trans :premises (@p5979 @p5978)) % 0.42/1.40 (step @p5981 :rule cong :premises (@p5980) :args (@t3368)) % 0.42/1.40 (step @p5982 :rule nary_cong :premises (@p5981 @p711 @p722) :args (@t3369)) % 0.42/1.40 (step @p5983 :rule cong :premises (@p5982) :args ((forall @t28 @t3369))) % 0.42/1.40 (step @p5984 :rule aci_norm :args ((= (or @t3368 @t3370) @t3369))) % 0.42/1.40 (step @p5985 :rule bool-impl-elim :args (@t26 @t3370)) % 0.42/1.40 (step @p5986 :rule trans :premises (@p5985 @p5984)) % 0.42/1.40 (step @p5987 :rule cong :premises (@p5986) :args ((forall @t28 (=> @t26 @t3370)))) % 0.42/1.40 (step @p5988 :rule trans :premises (@p5987 @p5983)) % 0.42/1.40 (step @p5989 :rule nary_cong :premises (@p2767 @p2770) :args (@t23)) % 0.42/1.40 (step @p5990 :rule refl :args (@t26)) % 0.42/1.40 (step @p5991 :rule cong :premises (@p5990 @p5989) :args (@t232)) % 0.42/1.40 (step @p5992 :rule cong :premises (@p5991) :args (@t233)) % 0.42/1.40 (step @p5993 :rule trans :premises (@p5992 @p5988)) % 0.42/1.40 (step @p5994 :rule refl :args (tptp.setadjoinOr)) % 0.42/1.40 (step @p5995 :rule cong :premises (@p5994 @p5993) :args (@t234)) % 0.42/1.40 (step @p5996 :rule eq_resolve :premises (@p33 @p5995)) % 0.42/1.40 (step @p5997 :rule cong :premises (@p5996 @p5970) :args (@t3371)) % 0.42/1.40 (step @p5998 :rule refl :args (@t1394)) % 0.42/1.40 (step @p5999 :rule nary_cong :premises (@p5981 @p711 @p5998) :args (@t3372)) % 0.42/1.40 (step @p6000 :rule cong :premises (@p5999) :args ((forall @t28 @t3372))) % 0.42/1.40 (step @p6001 :rule aci_norm :args ((= (or @t3368 @t1874) @t3372))) % 0.42/1.40 (step @p6002 :rule bool-impl-elim :args (@t26 @t1874)) % 0.42/1.40 (step @p6003 :rule trans :premises (@p6002 @p6001)) % 0.42/1.40 (step @p6004 :rule cong :premises (@p6003) :args ((forall @t28 (=> @t26 @t1874)))) % 0.42/1.40 (step @p6005 :rule trans :premises (@p6004 @p6000)) % 0.42/1.40 (step @p6006 :rule aci_norm :args ((= (and @t1394 true) @t1394))) % 0.42/1.40 (step @p6007 :rule refl :args (@t1394)) % 0.42/1.40 (step @p6008 :rule nary_cong :premises (@p6007 @p3572) :args (@t3373)) % 0.42/1.40 (step @p6009 :rule trans :premises (@p6008 @p6006)) % 0.42/1.40 (step @p6010 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.42/1.40 (step @p6011 :rule nary_cong :premises (@p2409 @p3572) :args (@t3374)) % 0.42/1.40 (step @p6012 :rule trans :premises (@p6011 @p6010)) % 0.42/1.40 (step @p6013 :rule nary_cong :premises (@p6012 @p6009) :args (@t3375)) % 0.42/1.40 (step @p6014 :rule aci_norm :args ((= @t3376 @t3375))) % 0.42/1.40 (step @p6015 :rule trans :premises (@p6014 @p6013)) % 0.42/1.40 (step @p6016 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2839 @t3378 @t3377 @t173)) @t3376))) % 0.42/1.40 (step @p6017 :rule refl :args (@t3377)) % 0.42/1.40 (step @p6018 :rule refl :args (@t3378)) % 0.42/1.40 (step @p6019 :rule nary_cong :premises (@p3592 @p6018 @p6017 @p3584) :args (@t3379)) % 0.42/1.40 (step @p6020 :rule aci_norm :args ((= @t3380 @t3379))) % 0.42/1.40 (step @p6021 :rule trans :premises (@p6020 @p6019)) % 0.42/1.40 (step @p6022 :rule cong :premises (@p6021) :args ((forall @t179 @t3380))) % 0.42/1.40 (step @p6023 :rule trans :premises (@p6022 @p6016)) % 0.42/1.40 (step @p6024 :rule trans :premises (@p6023 @p6015)) % 0.42/1.40 (step @p6025 :rule nary_cong :premises (@p722 @p3599) :args (@t3381)) % 0.42/1.40 (step @p6026 :rule nary_cong :premises (@p6018 @p6025 @p3584) :args (@t3382)) % 0.42/1.40 (step @p6027 :rule cong :premises (@p6026) :args ((forall @t179 @t3382))) % 0.42/1.40 (step @p6028 :rule trans :premises (@p6027 @p6024)) % 0.42/1.40 (step @p6029 :rule aci_norm :args ((= (or @t3378 (or @t3381 @t173)) @t3382))) % 0.42/1.40 (step @p6030 :rule bool-implies-de-morgan :args (@t21 @t173)) % 0.42/1.40 (step @p6031 :rule nary_cong :premises (@p6030 @p3584) :args ((or (not @t224) @t173))) % 0.42/1.40 (step @p6032 :rule bool-impl-elim :args (@t224 @t173)) % 0.42/1.40 (step @p6033 :rule trans :premises (@p6032 @p6031)) % 0.42/1.40 (step @p6034 :rule bool-implies-de-morgan :args (@t129 @t173)) % 0.42/1.40 (step @p6035 :rule nary_cong :premises (@p6034 @p6033) :args ((or (not @t3383) @t225))) % 0.42/1.40 (step @p6036 :rule trans :premises (@p6035 @p6029)) % 0.42/1.40 (step @p6037 :rule bool-impl-elim :args (@t3383 @t225)) % 0.42/1.40 (step @p6038 :rule trans :premises (@p6037 @p6036)) % 0.42/1.40 (step @p6039 :rule cong :premises (@p6038) :args ((forall @t179 (=> @t3383 @t225)))) % 0.42/1.40 (step @p6040 :rule trans :premises (@p6039 @p6028)) % 0.42/1.40 (step @p6041 :rule refl :args (@t225)) % 0.42/1.40 (step @p6042 :rule cong :premises (@p2767 @p5842) :args (@t226)) % 0.42/1.40 (step @p6043 :rule cong :premises (@p6042 @p6041) :args (@t227)) % 0.42/1.40 (step @p6044 :rule cong :premises (@p6043) :args (@t228)) % 0.42/1.40 (step @p6045 :rule trans :premises (@p6044 @p6040)) % 0.42/1.40 (step @p6046 :rule cong :premises (@p5990 @p6045) :args (@t229)) % 0.42/1.40 (step @p6047 :rule cong :premises (@p6046) :args (@t230)) % 0.42/1.40 (step @p6048 :rule trans :premises (@p6047 @p6005)) % 0.42/1.40 (step @p6049 :rule refl :args (tptp.setadjoinE)) % 0.42/1.40 (step @p6050 :rule cong :premises (@p6049 @p6048) :args (@t231)) % 0.42/1.40 (step @p6051 :rule eq_resolve :premises (@p32 @p6050)) % 0.42/1.40 (step @p6052 :rule cong :premises (@p6051 @p5997) :args (@t3384)) % 0.42/1.40 (step @p6053 :rule nary_cong :premises (@p723 @p5980) :args (@t3385)) % 0.42/1.40 (step @p6054 :rule cong :premises (@p6053) :args ((forall @t28 @t3385))) % 0.42/1.40 (step @p6055 :rule bool-impl-elim :args (@t21 @t26)) % 0.42/1.40 (step @p6056 :rule cong :premises (@p6055) :args (@t222)) % 0.42/1.40 (step @p6057 :rule trans :premises (@p6056 @p6054)) % 0.42/1.40 (step @p6058 :rule refl :args (tptp.setadjoinIR)) % 0.42/1.40 (step @p6059 :rule cong :premises (@p6058 @p6057) :args (@t223)) % 0.42/1.40 (step @p6060 :rule eq_resolve :premises (@p31 @p6059)) % 0.42/1.40 (step @p6061 :rule cong :premises (@p6060 @p6052) :args (@t3386)) % 0.42/1.40 (step @p6062 :rule cong :premises (@p30 @p6061) :args (@t3387)) % 0.42/1.40 (step @p6063 :rule refl :args ((tptp.in @t4 @t216))) % 0.42/1.40 (step @p6064 :rule refl :args (@t1730)) % 0.42/1.40 (step @p6065 :rule cong :premises (@p774 @p6064) :args (@t1731)) % 0.42/1.40 (step @p6066 :rule trans :premises (@p6065 @p6063)) % 0.42/1.40 (step @p6067 :rule ho_cong :premises (@p2910 @p6064)) % 0.42/1.40 (step @p6068 :rule cong :premises (@p6067 @p6066) :args ((= (_ @t5 @t1730) @t1731))) % 0.42/1.40 (step @p6069 :rule symm :premises (@p6068)) % 0.42/1.40 (step @p6070 :rule refl :args (@t217)) % 0.42/1.40 (step @p6071 :rule eq_resolve :premises (@p6070 @p6069)) % 0.42/1.40 (step @p6072 :rule refl :args (@t216)) % 0.42/1.40 (step @p6073 :rule cong :premises (@p6072 @p6064) :args ((= @t216 @t1730))) % 0.42/1.40 (step @p6074 :rule symm :premises (@p6073)) % 0.42/1.40 (step @p6075 :rule eq_resolve :premises (@p6072 @p6074)) % 0.42/1.40 (step @p6076 :rule ho_cong :premises (@p2910 @p6075)) % 0.42/1.40 (step @p6077 :rule trans :premises (@p6076 @p6071)) % 0.42/1.40 (step @p6078 :rule cong :premises (@p6077) :args (@t218)) % 0.42/1.40 (step @p6079 :rule refl :args (tptp.setadjoinIL)) % 0.42/1.40 (step @p6080 :rule cong :premises (@p6079 @p6078) :args (@t219)) % 0.42/1.40 (step @p6081 :rule eq_resolve :premises (@p29 @p6080)) % 0.42/1.40 (step @p6082 :rule cong :premises (@p6081 @p6062) :args (@t3388)) % 0.42/1.40 (step @p6083 :rule aci_norm :args ((= (or @t1735 false) @t1735))) % 0.42/1.40 (step @p6084 :rule cong :premises (@p5115) :args (@t3389)) % 0.42/1.40 (step @p6085 :rule trans :premises (@p6084 @p2311)) % 0.42/1.40 (step @p6086 :rule refl :args (@t1735)) % 0.42/1.40 (step @p6087 :rule nary_cong :premises (@p6086 @p6085) :args (@t3390)) % 0.42/1.40 (step @p6088 :rule trans :premises (@p6087 @p6083)) % 0.42/1.40 (step @p6089 :rule cong :premises (@p6088) :args ((forall @t1736 @t3390))) % 0.42/1.40 (step @p6090 :rule quant-var-elim-eq :args ((= (forall @t64 @t3392) @t3390))) % 0.42/1.40 (step @p6091 :rule aci_norm :args ((= @t3393 @t3392))) % 0.42/1.40 (step @p6092 :rule cong :premises (@p6091) :args (@t3394)) % 0.42/1.40 (step @p6093 :rule trans :premises (@p6092 @p6090)) % 0.42/1.40 (step @p6094 :rule cong :premises (@p6093) :args (@t3395)) % 0.42/1.40 (step @p6095 :rule quant-merge-prenex :args ((= @t3395 @t3396))) % 0.42/1.40 (step @p6096 :rule symm :premises (@p6095)) % 0.42/1.40 (step @p6097 :rule quant_var_reordering :args ((= @t3397 @t3396))) % 0.42/1.40 (step @p6098 :rule trans :premises (@p6097 @p6096 @p6094)) % 0.42/1.40 (step @p6099 :rule trans :premises (@p6098 @p6089)) % 0.42/1.40 (step @p6100 :rule quant-merge-prenex :args ((= (forall @t64 @t3398) @t3397))) % 0.42/1.40 (step @p6101 :rule refl :args (@t3320)) % 0.42/1.40 (step @p6102 :rule alpha_equiv :args (@t3399 (@list @t1734) @t2061)) % 0.42/1.40 (step @p6103 :rule nary_cong :premises (@p6102 @p6101) :args (@t3400)) % 0.42/1.40 (step @p6104 :rule quant-miniscope-or :args ((= @t3398 @t3400))) % 0.42/1.40 (step @p6105 :rule trans :premises (@p6104 @p6103)) % 0.42/1.40 (step @p6106 :rule symm :premises (@p6105)) % 0.42/1.40 (step @p6107 :rule cong :premises (@p6106) :args ((forall @t64 (or @t1682 @t3320)))) % 0.42/1.40 (step @p6108 :rule trans :premises (@p6107 @p6100)) % 0.42/1.40 (step @p6109 :rule trans :premises (@p6108 @p6099)) % 0.42/1.40 (step @p6110 :rule bool-double-not-elim :args (@t1682)) % 0.42/1.40 (step @p6111 :rule nary_cong :premises (@p6110 @p6101) :args ((or @t3401 @t3320))) % 0.42/1.40 (step @p6112 :rule bool-impl-elim :args (@t1683 @t3320)) % 0.42/1.40 (step @p6113 :rule trans :premises (@p6112 @p6111)) % 0.42/1.40 (step @p6114 :rule cong :premises (@p6113) :args ((forall @t64 (=> @t1683 @t3320)))) % 0.42/1.40 (step @p6115 :rule trans :premises (@p6114 @p6109)) % 0.42/1.40 (step @p6116 :rule cong :premises (@p5733 @p5737) :args (@t3402)) % 0.42/1.40 (step @p6117 :rule cong :premises (@p6116) :args (@t3403)) % 0.42/1.40 (step @p6118 :rule trans :premises (@p6117 @p6115)) % 0.42/1.40 (step @p6119 :rule refl :args (tptp.nonemptyI1)) % 0.42/1.40 (step @p6120 :rule cong :premises (@p6119 @p6118) :args ((= tptp.nonemptyI1 @t3403))) % 0.42/1.40 (step @p6121 :rule refl :args (@t89)) % 0.42/1.40 (step @p6122 :rule cong :premises (@p6121 @p5744) :args (@t213)) % 0.42/1.40 (step @p6123 :rule cong :premises (@p6122) :args (@t214)) % 0.42/1.40 (step @p6124 :rule cong :premises (@p6119 @p6123) :args (@t215)) % 0.42/1.40 (step @p6125 :rule trans :premises (@p6124 @p6120)) % 0.42/1.40 (step @p6126 :rule eq_resolve :premises (@p28 @p6125)) % 0.42/1.40 (step @p6127 :rule cong :premises (@p6126 @p6082) :args (@t3404)) % 0.42/1.40 (step @p6128 :rule cong :premises (@p218 @p2738) :args (@t3405)) % 0.42/1.40 (step @p6129 :rule cong :premises (@p6128) :args (@t3406)) % 0.42/1.40 (step @p6130 :rule refl :args (@t1379)) % 0.42/1.40 (step @p6131 :rule nary_cong :premises (@p1199 @p6130 @p6129) :args (@t3407)) % 0.42/1.40 (step @p6132 :rule cong :premises (@p6131) :args ((forall @t159 @t3407))) % 0.42/1.40 (step @p6133 :rule refl :args (@t2670)) % 0.42/1.40 (step @p6134 :rule cong :premises (@p712) :args (@t2663)) % 0.42/1.40 (step @p6135 :rule cong :premises (@p769 @p6134) :args (@t2664)) % 0.42/1.40 (step @p6136 :rule trans :premises (@p6135 @p6133)) % 0.42/1.40 (step @p6137 :rule ho_cong :premises (@p815 @p6134)) % 0.42/1.40 (step @p6138 :rule cong :premises (@p6137 @p6136) :args ((= (_ @t155 @t2663) @t2664))) % 0.42/1.40 (step @p6139 :rule symm :premises (@p6138)) % 0.42/1.40 (step @p6140 :rule refl :args (@t156)) % 0.42/1.40 (step @p6141 :rule eq_resolve :premises (@p6140 @p6139)) % 0.42/1.40 (step @p6142 :rule ho_cong :premises (@p815 @p2745)) % 0.42/1.40 (step @p6143 :rule trans :premises (@p6142 @p6141)) % 0.42/1.40 (step @p6144 :rule cong :premises (@p265 @p6143) :args (@t3408)) % 0.42/1.40 (step @p6145 :rule cong :premises (@p6144) :args (@t3409)) % 0.42/1.40 (step @p6146 :rule nary_cong :premises (@p702 @p696 @p6145) :args (@t3410)) % 0.42/1.40 (step @p6147 :rule cong :premises (@p6146) :args ((forall @t159 @t3410))) % 0.42/1.40 (step @p6148 :rule trans :premises (@p6147 @p6132)) % 0.42/1.40 (step @p6149 :rule aci_norm :args ((= (or @t197 (or @t315 @t3409)) @t3410))) % 0.42/1.40 (step @p6150 :rule bool-impl-elim :args (@t144 @t3409)) % 0.42/1.40 (step @p6151 :rule nary_cong :premises (@p2710 @p6150) :args ((or @t197 @t3411))) % 0.42/1.40 (step @p6152 :rule trans :premises (@p6151 @p6149)) % 0.42/1.40 (step @p6153 :rule bool-impl-elim :args (@t7 @t3411)) % 0.42/1.40 (step @p6154 :rule trans :premises (@p6153 @p6152)) % 0.42/1.40 (step @p6155 :rule cong :premises (@p6154) :args ((forall @t159 (=> @t7 @t3411)))) % 0.42/1.40 (step @p6156 :rule trans :premises (@p6155 @p6148)) % 0.42/1.40 (step @p6157 :rule eq-symm :args (@t156 tptp.emptyset)) % 0.42/1.40 (step @p6158 :rule cong :premises (@p6157) :args (@t3412)) % 0.42/1.40 (step @p6159 :rule beta-reduce :args ((= @t3413 @t3412))) % 0.42/1.40 (step @p6160 :rule trans :premises (@p6159 @p6158)) % 0.42/1.40 (step @p6161 :rule cong :premises (@p2725 @p6160) :args (@t3414)) % 0.42/1.40 (step @p6162 :rule cong :premises (@p748 @p6161) :args (@t3415)) % 0.42/1.40 (step @p6163 :rule cong :premises (@p6162) :args (@t3416)) % 0.42/1.40 (step @p6164 :rule trans :premises (@p6163 @p6156)) % 0.42/1.40 (step @p6165 :rule refl :args (tptp.nonemptyI)) % 0.42/1.40 (step @p6166 :rule cong :premises (@p6165 @p6164) :args ((= tptp.nonemptyI @t3416))) % 0.42/1.40 (step @p6167 :rule refl :args (@t156)) % 0.42/1.40 (step @p6168 :rule ho_cong :premises (@p204 @p6167)) % 0.42/1.40 (step @p6169 :rule cong :premises (@p2725 @p6168) :args (@t209)) % 0.42/1.40 (step @p6170 :rule cong :premises (@p748 @p6169) :args (@t210)) % 0.42/1.40 (step @p6171 :rule cong :premises (@p6170) :args (@t211)) % 0.42/1.40 (step @p6172 :rule cong :premises (@p6165 @p6171) :args (@t212)) % 0.42/1.40 (step @p6173 :rule trans :premises (@p6172 @p6166)) % 0.42/1.40 (step @p6174 :rule eq_resolve :premises (@p27 @p6173)) % 0.42/1.40 (step @p6175 :rule cong :premises (@p6174 @p6127) :args (@t3417)) % 0.42/1.40 (step @p6176 :rule cong :premises (@p5737 @p5733) :args (@t3418)) % 0.42/1.40 (step @p6177 :rule cong :premises (@p6176) :args (@t3419)) % 0.42/1.40 (step @p6178 :rule trans :premises (@p6177 @p5729)) % 0.42/1.40 (step @p6179 :rule refl :args (tptp.nonemptyE1)) % 0.42/1.40 (step @p6180 :rule cong :premises (@p6179 @p6178) :args ((= tptp.nonemptyE1 @t3419))) % 0.42/1.40 (step @p6181 :rule cong :premises (@p5744 @p6121) :args (@t206)) % 0.42/1.40 (step @p6182 :rule cong :premises (@p6181) :args (@t207)) % 0.42/1.40 (step @p6183 :rule cong :premises (@p6179 @p6182) :args (@t208)) % 0.42/1.40 (step @p6184 :rule trans :premises (@p6183 @p6180)) % 0.42/1.40 (step @p6185 :rule eq_resolve :premises (@p26 @p6184)) % 0.42/1.40 (step @p6186 :rule cong :premises (@p6185 @p6175) :args (@t3420)) % 0.42/1.40 (step @p6187 :rule refl :args (@t1378)) % 0.42/1.40 (step @p6188 :rule cong :premises (@p6187 @p2741) :args (@t3421)) % 0.42/1.40 (step @p6189 :rule nary_cong :premises (@p1199 @p6188) :args (@t3422)) % 0.42/1.40 (step @p6190 :rule cong :premises (@p6189) :args ((forall @t159 @t3422))) % 0.42/1.40 (step @p6191 :rule refl :args ((tptp.in @t4 @t156))) % 0.42/1.40 (step @p6192 :rule cong :premises (@p774 @p6136) :args (@t2667)) % 0.42/1.40 (step @p6193 :rule trans :premises (@p6192 @p6191)) % 0.42/1.40 (step @p6194 :rule ho_cong :premises (@p2910 @p6136)) % 0.42/1.40 (step @p6195 :rule cong :premises (@p6194 @p6193) :args ((= (_ @t5 @t2664) @t2667))) % 0.42/1.40 (step @p6196 :rule symm :premises (@p6195)) % 0.42/1.40 (step @p6197 :rule refl :args (@t157)) % 0.42/1.40 (step @p6198 :rule eq_resolve :premises (@p6197 @p6196)) % 0.42/1.40 (step @p6199 :rule ho_cong :premises (@p2910 @p6143)) % 0.42/1.40 (step @p6200 :rule trans :premises (@p6199 @p6198)) % 0.42/1.40 (step @p6201 :rule cong :premises (@p695 @p6200) :args (@t3423)) % 0.42/1.40 (step @p6202 :rule nary_cong :premises (@p702 @p6201) :args (@t3424)) % 0.42/1.40 (step @p6203 :rule cong :premises (@p6202) :args ((forall @t159 @t3424))) % 0.42/1.40 (step @p6204 :rule trans :premises (@p6203 @p6190)) % 0.42/1.40 (step @p6205 :rule bool-impl-elim :args (@t7 @t3423)) % 0.42/1.40 (step @p6206 :rule cong :premises (@p6205) :args ((forall @t159 (=> @t7 @t3423)))) % 0.42/1.40 (step @p6207 :rule trans :premises (@p6206 @p6204)) % 0.42/1.40 (step @p6208 :rule eq-symm :args (@t157 @t144)) % 0.42/1.40 (step @p6209 :rule cong :premises (@p748 @p6208) :args (@t202)) % 0.42/1.40 (step @p6210 :rule cong :premises (@p6209) :args (@t203)) % 0.42/1.40 (step @p6211 :rule trans :premises (@p6210 @p6207)) % 0.42/1.40 (step @p6212 :rule refl :args (tptp.setbeta)) % 0.42/1.40 (step @p6213 :rule cong :premises (@p6212 @p6211) :args (@t204)) % 0.42/1.40 (step @p6214 :rule eq_resolve :premises (@p25 @p6213)) % 0.42/1.40 (step @p6215 :rule cong :premises (@p6214 @p6186) :args (@t3425)) % 0.42/1.40 (step @p6216 :rule eq-symm :args (@t1744 tptp.noeltsimpempty)) % 0.42/1.40 (step @p6217 :rule refl :args (tptp.noeltsimpempty)) % 0.42/1.40 (step @p6218 :rule bool-impl-elim :args (@t1682 @t196)) % 0.42/1.40 (step @p6219 :rule cong :premises (@p6218) :args ((forall @t64 (=> @t1682 @t196)))) % 0.42/1.40 (step @p6220 :rule refl :args (@t196)) % 0.42/1.40 (step @p6221 :rule cong :premises (@p5730 @p6220) :args (@t199)) % 0.42/1.40 (step @p6222 :rule cong :premises (@p6221) :args (@t200)) % 0.42/1.40 (step @p6223 :rule trans :premises (@p6222 @p6219)) % 0.42/1.40 (step @p6224 :rule cong :premises (@p6223 @p6217) :args ((= @t200 tptp.noeltsimpempty))) % 0.42/1.40 (step @p6225 :rule trans :premises (@p6224 @p6216)) % 0.42/1.40 (step @p6226 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 0.42/1.40 (step @p6227 :rule trans :premises (@p6226 @p6225)) % 0.42/1.40 (step @p6228 :rule eq_resolve :premises (@p24 @p6227)) % 0.42/1.40 (step @p6229 :rule cong :premises (@p6228 @p6215) :args (@t3426)) % 0.42/1.40 (step @p6230 :rule refl :args (tptp.emptyI)) % 0.42/1.40 (step @p6231 :rule cong :premises (@p6230 @p6223) :args (@t201)) % 0.42/1.40 (step @p6232 :rule eq_resolve :premises (@p23 @p6231)) % 0.42/1.40 (step @p6233 :rule cong :premises (@p6232 @p6229) :args (@t3427)) % 0.42/1.40 (step @p6234 :rule aci_norm :args ((= (or @t1593 (or @t1713 @t3)) @t1747))) % 0.42/1.40 (step @p6235 :rule bool-impl-elim :args (@t1712 @t3)) % 0.42/1.40 (step @p6236 :rule nary_cong :premises (@p4553 @p6235) :args ((or @t1593 @t3428))) % 0.42/1.40 (step @p6237 :rule trans :premises (@p6236 @p6234)) % 0.42/1.40 (step @p6238 :rule bool-impl-elim :args (@t1592 @t3428)) % 0.42/1.40 (step @p6239 :rule trans :premises (@p6238 @p6237)) % 0.42/1.40 (step @p6240 :rule cong :premises (@p6239) :args ((forall @t12 (=> @t1592 @t3428)))) % 0.42/1.40 (step @p6241 :rule cong :premises (@p5938 @p4735) :args (@t190)) % 0.42/1.40 (step @p6242 :rule cong :premises (@p4562 @p6241) :args (@t193)) % 0.42/1.40 (step @p6243 :rule cong :premises (@p6242) :args (@t194)) % 0.42/1.40 (step @p6244 :rule trans :premises (@p6243 @p6240)) % 0.42/1.40 (step @p6245 :rule refl :args (tptp.setext)) % 0.42/1.40 (step @p6246 :rule cong :premises (@p6245 @p6244) :args (@t195)) % 0.42/1.40 (step @p6247 :rule eq_resolve :premises (@p22 @p6246)) % 0.42/1.40 (step @p6248 :rule cong :premises (@p6247 @p6233) :args (@t3429)) % 0.42/1.40 (step @p6249 :rule eq-symm :args (@t1750 @t19)) % 0.42/1.40 (step @p6250 :rule nary_cong :premises (@p4750 @p6249) :args (@t3430)) % 0.42/1.40 (step @p6251 :rule cong :premises (@p6250) :args (@t3431)) % 0.42/1.40 (step @p6252 :rule cong :premises (@p6251) :args (@t3432)) % 0.42/1.40 (step @p6253 :rule refl :args (@t1751)) % 0.42/1.40 (step @p6254 :rule refl :args (@t1753)) % 0.42/1.40 (step @p6255 :rule nary_cong :premises (@p6254 @p6253 @p6252) :args (@t3433)) % 0.42/1.40 (step @p6256 :rule aci_norm :args ((= @t3435 @t3433))) % 0.42/1.40 (step @p6257 :rule trans :premises (@p6256 @p6255)) % 0.42/1.40 (step @p6258 :rule cong :premises (@p6257) :args (@t3436)) % 0.42/1.40 (step @p6259 :rule quant-merge-prenex :args ((= (forall @t150 @t3438) @t3436))) % 0.42/1.40 (step @p6260 :rule refl :args (@t1753)) % 0.42/1.40 (step @p6261 :rule alpha_equiv :args (@t3439 (@list @t1750) @t2061)) % 0.42/1.40 (step @p6262 :rule nary_cong :premises (@p6261 @p6260) :args (@t3440)) % 0.42/1.40 (step @p6263 :rule quant-miniscope-or :args ((= @t3438 @t3440))) % 0.42/1.40 (step @p6264 :rule trans :premises (@p6263 @p6262)) % 0.42/1.40 (step @p6265 :rule symm :premises (@p6264)) % 0.42/1.40 (step @p6266 :rule cong :premises (@p6265) :args ((forall @t150 (or @t1634 @t1753)))) % 0.42/1.40 (step @p6267 :rule trans :premises (@p6266 @p6259)) % 0.42/1.40 (step @p6268 :rule trans :premises (@p6267 @p6258)) % 0.42/1.40 (step @p6269 :rule nary_cong :premises (@p4818 @p6260) :args ((or @t3063 @t1753))) % 0.42/1.40 (step @p6270 :rule bool-impl-elim :args (@t1635 @t1753)) % 0.42/1.40 (step @p6271 :rule trans :premises (@p6270 @p6269)) % 0.42/1.40 (step @p6272 :rule cong :premises (@p6271) :args ((forall @t150 (=> @t1635 @t1753)))) % 0.42/1.40 (step @p6273 :rule trans :premises (@p6272 @p6268)) % 0.42/1.40 (step @p6274 :rule cong :premises (@p4870 @p5352) :args (@t3441)) % 0.42/1.40 (step @p6275 :rule cong :premises (@p6274) :args (@t3442)) % 0.42/1.40 (step @p6276 :rule trans :premises (@p6275 @p6273)) % 0.42/1.40 (step @p6277 :rule refl :args (tptp.exuE3e)) % 0.42/1.40 (step @p6278 :rule cong :premises (@p6277 @p6276) :args ((= tptp.exuE3e @t3442))) % 0.42/1.40 (step @p6279 :rule cong :premises (@p4913 @p5359) :args (@t187)) % 0.42/1.40 (step @p6280 :rule cong :premises (@p6279) :args (@t188)) % 0.42/1.40 (step @p6281 :rule cong :premises (@p6277 @p6280) :args (@t189)) % 0.42/1.40 (step @p6282 :rule trans :premises (@p6281 @p6278)) % 0.42/1.40 (step @p6283 :rule eq_resolve :premises (@p21 @p6282)) % 0.42/1.40 (step @p6284 :rule cong :premises (@p6283 @p6248) :args (@t3443)) % 0.42/1.40 (step @p6285 :rule eq-symm :args (@t1757 tptp.notinemptyset)) % 0.42/1.40 (step @p6286 :rule refl :args (tptp.notinemptyset)) % 0.42/1.40 (step @p6287 :rule cong :premises (@p5572) :args (@t17)) % 0.42/1.40 (step @p6288 :rule cong :premises (@p6287 @p6286) :args ((= @t17 tptp.notinemptyset))) % 0.42/1.40 (step @p6289 :rule trans :premises (@p6288 @p6285)) % 0.42/1.40 (step @p6290 :rule eq-symm :args (tptp.notinemptyset @t17)) % 0.42/1.40 (step @p6291 :rule trans :premises (@p6290 @p6289)) % 0.42/1.40 (step @p6292 :rule eq_resolve :premises (@p20 @p6291)) % 0.42/1.40 (step @p6293 :rule cong :premises (@p6292 @p6284) :args (@t3444)) % 0.42/1.40 (step @p6294 :rule bool-impl-false1 :args (@t15)) % 0.42/1.40 (step @p6295 :rule cong :premises (@p6294) :args (@t184)) % 0.42/1.40 (step @p6296 :rule trans :premises (@p6295 @p6287)) % 0.42/1.40 (step @p6297 :rule refl :args (tptp.emptysetimpfalse)) % 0.42/1.40 (step @p6298 :rule cong :premises (@p6297 @p6296) :args (@t185)) % 0.42/1.40 (step @p6299 :rule eq_resolve :premises (@p19 @p6298)) % 0.42/1.40 (step @p6300 :rule cong :premises (@p6299 @p6293) :args (@t3445)) % 0.42/1.40 (step @p6301 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2839 @t173)) false))) % 0.42/1.40 (step @p6302 :rule nary_cong :premises (@p3592 @p3584) :args (@t3446)) % 0.42/1.40 (step @p6303 :rule aci_norm :args ((= @t173 @t3446))) % 0.42/1.40 (step @p6304 :rule trans :premises (@p6303 @p6302)) % 0.42/1.40 (step @p6305 :rule cong :premises (@p6304) :args (@t180)) % 0.42/1.40 (step @p6306 :rule trans :premises (@p6305 @p6301)) % 0.42/1.40 (step @p6307 :rule refl :args (@t15)) % 0.42/1.40 (step @p6308 :rule cong :premises (@p6307 @p6306) :args (@t181)) % 0.42/1.40 (step @p6309 :rule trans :premises (@p6308 @p6294)) % 0.42/1.40 (step @p6310 :rule cong :premises (@p6309) :args (@t182)) % 0.42/1.40 (step @p6311 :rule trans :premises (@p6310 @p6287)) % 0.42/1.40 (step @p6312 :rule refl :args (tptp.emptysetE)) % 0.42/1.40 (step @p6313 :rule cong :premises (@p6312 @p6311) :args (@t183)) % 0.42/1.40 (step @p6314 :rule eq_resolve :premises (@p18 @p6313)) % 0.42/1.40 (step @p6315 :rule cong :premises (@p6314 @p6300) :args (@t3447)) % 0.42/1.40 (step @p6316 :rule aci_norm :args ((= @t3448 @t1761))) % 0.42/1.40 (step @p6317 :rule cong :premises (@p6316) :args ((forall @t9 @t3448))) % 0.42/1.40 (step @p6318 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2839 @t3450 @t173)) @t3448))) % 0.42/1.40 (step @p6319 :rule refl :args (@t3450)) % 0.42/1.40 (step @p6320 :rule nary_cong :premises (@p3592 @p6319 @p3584) :args (@t3451)) % 0.42/1.40 (step @p6321 :rule aci_norm :args ((= @t3452 @t3451))) % 0.42/1.40 (step @p6322 :rule trans :premises (@p6321 @p6320)) % 0.42/1.40 (step @p6323 :rule cong :premises (@p6322) :args (@t3453)) % 0.42/1.40 (step @p6324 :rule trans :premises (@p6323 @p6318)) % 0.42/1.40 (step @p6325 :rule cong :premises (@p6324) :args (@t3454)) % 0.42/1.40 (step @p6326 :rule quant-merge-prenex :args ((= @t3454 @t3455))) % 0.42/1.40 (step @p6327 :rule symm :premises (@p6326)) % 0.42/1.40 (step @p6328 :rule quant_var_reordering :args ((= (forall @t176 @t3452) @t3455))) % 0.42/1.40 (step @p6329 :rule trans :premises (@p6328 @p6327 @p6325)) % 0.42/1.40 (step @p6330 :rule trans :premises (@p6329 @p6317)) % 0.42/1.40 (step @p6331 :rule refl :args ((tptp.in @t4 @t174))) % 0.42/1.40 (step @p6332 :rule cong :premises (@p774 @p5473) :args (@t3449)) % 0.42/1.40 (step @p6333 :rule trans :premises (@p6332 @p6331)) % 0.42/1.40 (step @p6334 :rule ho_cong :premises (@p2910 @p5473)) % 0.42/1.40 (step @p6335 :rule cong :premises (@p6334 @p6333) :args ((= (_ @t5 @t3269) @t3449))) % 0.42/1.40 (step @p6336 :rule symm :premises (@p6335)) % 0.42/1.40 (step @p6337 :rule refl :args (@t175)) % 0.42/1.40 (step @p6338 :rule eq_resolve :premises (@p6337 @p6336)) % 0.42/1.40 (step @p6339 :rule ho_cong :premises (@p2910 @p5485)) % 0.42/1.40 (step @p6340 :rule trans :premises (@p6339 @p6338)) % 0.42/1.40 (step @p6341 :rule cong :premises (@p6340) :args (@t3456)) % 0.42/1.40 (step @p6342 :rule nary_cong :premises (@p6341 @p3584) :args (@t3457)) % 0.42/1.40 (step @p6343 :rule cong :premises (@p6342) :args ((forall @t176 @t3457))) % 0.42/1.40 (step @p6344 :rule trans :premises (@p6343 @p6330)) % 0.42/1.40 (step @p6345 :rule bool-impl-elim :args (@t175 @t173)) % 0.42/1.40 (step @p6346 :rule cong :premises (@p6345) :args (@t177)) % 0.42/1.40 (step @p6347 :rule trans :premises (@p6346 @p6344)) % 0.42/1.40 (step @p6348 :rule refl :args (tptp.prop2setE)) % 0.42/1.40 (step @p6349 :rule cong :premises (@p6348 @p6347) :args (@t178)) % 0.42/1.40 (step @p6350 :rule eq_resolve :premises (@p17 @p6349)) % 0.42/1.40 (step @p6351 :rule cong :premises (@p6350 @p6315) :args (@t3458)) % 0.42/1.40 (step @p6352 :rule bool-eq-true :args (tptp.exuE1)) % 0.42/1.40 (step @p6353 :rule symm :premises (@p6352)) % 0.42/1.40 (step @p6354 :rule cong :premises (@p4870 @p4908) :args (@t3459)) % 0.42/1.40 (step @p6355 :rule cong :premises (@p6354) :args (@t3460)) % 0.42/1.40 (step @p6356 :rule trans :premises (@p6355 @p5375)) % 0.42/1.40 (step @p6357 :rule refl :args (tptp.exuE1)) % 0.42/1.40 (step @p6358 :rule cong :premises (@p6357 @p6356) :args ((= tptp.exuE1 @t3460))) % 0.42/1.40 (step @p6359 :rule trans :premises (@p6358 @p6352)) % 0.42/1.40 (step @p6360 :rule cong :premises (@p4913 @p5382) :args (@t170)) % 0.42/1.40 (step @p6361 :rule cong :premises (@p6360) :args (@t171)) % 0.42/1.40 (step @p6362 :rule cong :premises (@p6357 @p6361) :args (@t172)) % 0.42/1.40 (step @p6363 :rule trans :premises (@p6362 @p6359)) % 0.42/1.40 (step @p6364 :rule eq_resolve :premises (@p16 @p6363)) % 0.42/1.40 (step @p6365 :rule eq_resolve :premises (@p6364 @p6353)) % 0.42/1.40 (step @p6366 :rule cong :premises (@p6365 @p6351) :args (@t3461)) % 0.42/1.40 (step @p6367 :rule nary_cong :premises (@p2742 @p6187) :args (@t3462)) % 0.42/1.40 (step @p6368 :rule cong :premises (@p6367) :args ((forall @t159 @t3462))) % 0.42/1.40 (step @p6369 :rule cong :premises (@p6200) :args (@t3463)) % 0.42/1.40 (step @p6370 :rule nary_cong :premises (@p6369 @p695) :args (@t3464)) % 0.42/1.40 (step @p6371 :rule cong :premises (@p6370) :args ((forall @t159 @t3464))) % 0.42/1.40 (step @p6372 :rule trans :premises (@p6371 @p6368)) % 0.42/1.40 (step @p6373 :rule bool-impl-elim :args (@t157 @t144)) % 0.42/1.40 (step @p6374 :rule cong :premises (@p6373) :args (@t164)) % 0.42/1.40 (step @p6375 :rule trans :premises (@p6374 @p6372)) % 0.42/1.40 (step @p6376 :rule refl :args (tptp.dsetconstrER)) % 0.42/1.40 (step @p6377 :rule cong :premises (@p6376 @p6375) :args (@t165)) % 0.42/1.40 (step @p6378 :rule eq_resolve :premises (@p15 @p6377)) % 0.42/1.40 (step @p6379 :rule cong :premises (@p6378 @p6366) :args (@t3465)) % 0.42/1.40 (step @p6380 :rule nary_cong :premises (@p2742 @p1725) :args (@t3466)) % 0.42/1.40 (step @p6381 :rule cong :premises (@p6380) :args ((forall @t159 @t3466))) % 0.42/1.40 (step @p6382 :rule nary_cong :premises (@p6369 @p701) :args (@t3467)) % 0.42/1.40 (step @p6383 :rule cong :premises (@p6382) :args ((forall @t159 @t3467))) % 0.42/1.40 (step @p6384 :rule trans :premises (@p6383 @p6381)) % 0.42/1.40 (step @p6385 :rule bool-impl-elim :args (@t157 @t7)) % 0.42/1.40 (step @p6386 :rule cong :premises (@p6385) :args (@t162)) % 0.42/1.40 (step @p6387 :rule trans :premises (@p6386 @p6384)) % 0.42/1.40 (step @p6388 :rule refl :args (tptp.dsetconstrEL)) % 0.42/1.40 (step @p6389 :rule cong :premises (@p6388 @p6387) :args (@t163)) % 0.42/1.40 (step @p6390 :rule eq_resolve :premises (@p14 @p6389)) % 0.42/1.40 (step @p6391 :rule cong :premises (@p6390 @p6379) :args (@t3468)) % 0.42/1.40 (step @p6392 :rule nary_cong :premises (@p1199 @p6130 @p2741) :args (@t3469)) % 0.42/1.40 (step @p6393 :rule cong :premises (@p6392) :args ((forall @t159 @t3469))) % 0.42/1.40 (step @p6394 :rule nary_cong :premises (@p702 @p696 @p6200) :args (@t3470)) % 0.42/1.40 (step @p6395 :rule cong :premises (@p6394) :args ((forall @t159 @t3470))) % 0.42/1.40 (step @p6396 :rule trans :premises (@p6395 @p6393)) % 0.42/1.40 (step @p6397 :rule aci_norm :args ((= (or @t197 (or @t315 @t157)) @t3470))) % 0.42/1.40 (step @p6398 :rule bool-impl-elim :args (@t144 @t157)) % 0.42/1.40 (step @p6399 :rule nary_cong :premises (@p2710 @p6398) :args ((or @t197 @t158))) % 0.42/1.40 (step @p6400 :rule trans :premises (@p6399 @p6397)) % 0.42/1.40 (step @p6401 :rule bool-impl-elim :args (@t7 @t158)) % 0.42/1.40 (step @p6402 :rule trans :premises (@p6401 @p6400)) % 0.42/1.40 (step @p6403 :rule cong :premises (@p6402) :args (@t160)) % 0.42/1.40 (step @p6404 :rule trans :premises (@p6403 @p6396)) % 0.42/1.40 (step @p6405 :rule refl :args (tptp.dsetconstrI)) % 0.42/1.40 (step @p6406 :rule cong :premises (@p6405 @p6404) :args (@t161)) % 0.42/1.40 (step @p6407 :rule eq_resolve :premises (@p13 @p6406)) % 0.42/1.40 (step @p6408 :rule cong :premises (@p6407 @p6391) :args (@t3471)) % 0.42/1.40 (step @p6409 :rule eq-symm :args (@t1770 @t19)) % 0.42/1.40 (step @p6410 :rule nary_cong :premises (@p4750 @p6409) :args (@t3472)) % 0.42/1.40 (step @p6411 :rule cong :premises (@p6410) :args (@t3473)) % 0.42/1.40 (step @p6412 :rule cong :premises (@p6411) :args (@t3474)) % 0.42/1.40 (step @p6413 :rule refl :args (@t1771)) % 0.42/1.40 (step @p6414 :rule refl :args (@t1772)) % 0.42/1.40 (step @p6415 :rule nary_cong :premises (@p6414 @p6413 @p6412) :args (@t3475)) % 0.42/1.40 (step @p6416 :rule aci_norm :args ((= @t3477 @t3475))) % 0.42/1.40 (step @p6417 :rule trans :premises (@p6416 @p6415)) % 0.42/1.40 (step @p6418 :rule cong :premises (@p6417) :args (@t3478)) % 0.42/1.40 (step @p6419 :rule quant-merge-prenex :args ((= (forall @t150 @t3480) @t3478))) % 0.42/1.40 (step @p6420 :rule refl :args (@t1772)) % 0.42/1.40 (step @p6421 :rule alpha_equiv :args (@t3481 (@list @t1770) @t2061)) % 0.42/1.40 (step @p6422 :rule nary_cong :premises (@p6421 @p6420) :args (@t3482)) % 0.42/1.40 (step @p6423 :rule quant-miniscope-or :args ((= @t3480 @t3482))) % 0.42/1.40 (step @p6424 :rule trans :premises (@p6423 @p6422)) % 0.42/1.40 (step @p6425 :rule symm :premises (@p6424)) % 0.42/1.40 (step @p6426 :rule cong :premises (@p6425) :args ((forall @t150 (or @t1634 @t1772)))) % 0.42/1.40 (step @p6427 :rule trans :premises (@p6426 @p6419)) % 0.42/1.40 (step @p6428 :rule trans :premises (@p6427 @p6418)) % 0.42/1.40 (step @p6429 :rule cong :premises (@p4774) :args (@t3483)) % 0.42/1.40 (step @p6430 :rule nary_cong :premises (@p4777 @p6429) :args (@t3484)) % 0.42/1.40 (step @p6431 :rule cong :premises (@p6430) :args ((forall @t150 @t3484))) % 0.42/1.40 (step @p6432 :rule trans :premises (@p6431 @p6428)) % 0.42/1.40 (step @p6433 :rule refl :args ((_ @t143 @t146))) % 0.42/1.40 (step @p6434 :rule cong :premises (@p4794) :args (@t3483)) % 0.42/1.40 (step @p6435 :rule trans :premises (@p6434 @p6433)) % 0.42/1.40 (step @p6436 :rule ho_cong :premises (@p968 @p4794)) % 0.42/1.40 (step @p6437 :rule cong :premises (@p6436 @p6435) :args ((= (_ @t143 @t3057) @t3483))) % 0.42/1.40 (step @p6438 :rule symm :premises (@p6437)) % 0.42/1.40 (step @p6439 :rule refl :args (@t147)) % 0.42/1.40 (step @p6440 :rule eq_resolve :premises (@p6439 @p6438)) % 0.42/1.40 (step @p6441 :rule ho_cong :premises (@p968 @p4801)) % 0.42/1.40 (step @p6442 :rule trans :premises (@p6441 @p6440)) % 0.42/1.40 (step @p6443 :rule nary_cong :premises (@p4804 @p6442) :args (@t3485)) % 0.42/1.40 (step @p6444 :rule cong :premises (@p6443) :args ((forall @t150 @t3485))) % 0.42/1.40 (step @p6445 :rule trans :premises (@p6444 @p6432)) % 0.42/1.40 (step @p6446 :rule nary_cong :premises (@p4818 @p6439) :args ((or @t3063 @t147))) % 0.42/1.40 (step @p6447 :rule bool-impl-elim :args (@t1635 @t147)) % 0.42/1.40 (step @p6448 :rule trans :premises (@p6447 @p6446)) % 0.42/1.40 (step @p6449 :rule cong :premises (@p6448) :args ((forall @t150 (=> @t1635 @t147)))) % 0.42/1.40 (step @p6450 :rule trans :premises (@p6449 @p6445)) % 0.42/1.40 (step @p6451 :rule refl :args (@t147)) % 0.42/1.40 (step @p6452 :rule cong :premises (@p4870 @p6451) :args (@t3486)) % 0.42/1.40 (step @p6453 :rule cong :premises (@p6452) :args (@t3487)) % 0.42/1.40 (step @p6454 :rule trans :premises (@p6453 @p6450)) % 0.42/1.40 (step @p6455 :rule refl :args (tptp.descrp)) % 0.42/1.40 (step @p6456 :rule cong :premises (@p6455 @p6454) :args ((= tptp.descrp @t3487))) % 0.42/1.40 (step @p6457 :rule cong :premises (@p4913 @p6451) :args (@t149)) % 0.42/1.40 (step @p6458 :rule cong :premises (@p6457) :args (@t151)) % 0.42/1.40 (step @p6459 :rule cong :premises (@p6455 @p6458) :args (@t152)) % 0.42/1.40 (step @p6460 :rule trans :premises (@p6459 @p6456)) % 0.42/1.40 (step @p6461 :rule eq_resolve :premises (@p12 @p6460)) % 0.42/1.40 (step @p6462 :rule cong :premises (@p6461 @p6408) :args (@t3488)) % 0.42/1.40 (step @p6463 :rule aci_norm :args ((= (or @t1824 (or @t1817 (or @t1813 @t1801))) @t1825))) % 0.42/1.40 (step @p6464 :rule bool-and-de-morgan :args (@t1812 @t1800 true)) % 0.42/1.40 (step @p6465 :rule refl :args (@t1817)) % 0.42/1.40 (step @p6466 :rule nary_cong :premises (@p6465 @p6464) :args ((or @t1817 (not (and @t1812 @t1800))))) % 0.42/1.40 (step @p6467 :rule bool-and-de-morgan :args (@t1816 @t1812 (and @t1800))) % 0.42/1.40 (step @p6468 :rule trans :premises (@p6467 @p6466)) % 0.42/1.40 (step @p6469 :rule refl :args (@t1824)) % 0.42/1.40 (step @p6470 :rule nary_cong :premises (@p6469 @p6468) :args ((or @t1824 (not (and @t1816 @t1812 @t1800))))) % 0.42/1.40 (step @p6471 :rule bool-and-de-morgan :args (@t1823 @t1816 (and @t1812 @t1800))) % 0.42/1.40 (step @p6472 :rule trans :premises (@p6471 @p6470)) % 0.42/1.40 (step @p6473 :rule trans :premises (@p6472 @p6463)) % 0.42/1.40 (step @p6474 :rule cong :premises (@p6473) :args (@t3490)) % 0.42/1.40 (step @p6475 :rule cong :premises (@p6474) :args (@t3491)) % 0.42/1.40 (step @p6476 :rule exists-elim :args ((= (exists @t41 @t3489) @t3491))) % 0.42/1.40 (step @p6477 :rule trans :premises (@p6476 @p6475)) % 0.42/1.40 (step @p6478 :rule quant-merge-prenex :args ((= (forall @t118 @t3493) @t1800))) % 0.42/1.40 (step @p6479 :rule refl :args (@t1794)) % 0.42/1.40 (step @p6480 :rule alpha_equiv :args (@t3494 (@list @t1795) @t2061)) % 0.42/1.40 (step @p6481 :rule refl :args (@t1798)) % 0.42/1.40 (step @p6482 :rule nary_cong :premises (@p6481 @p6480 @p6479) :args (@t3495)) % 0.42/1.40 (step @p6483 :rule quant-miniscope-or :args ((= @t3493 @t3495))) % 0.42/1.40 (step @p6484 :rule trans :premises (@p6483 @p6482)) % 0.42/1.40 (step @p6485 :rule symm :premises (@p6484)) % 0.42/1.40 (step @p6486 :rule cong :premises (@p6485) :args ((forall @t118 @t3497))) % 0.42/1.40 (step @p6487 :rule trans :premises (@p6486 @p6478)) % 0.42/1.40 (step @p6488 :rule aci_norm :args ((= (or (or @t1798 @t3496) @t1794) @t3497))) % 0.42/1.40 (step @p6489 :rule bool-double-not-elim :args (@t3496)) % 0.42/1.40 (step @p6490 :rule nary_cong :premises (@p6481 @p6489) :args ((or @t1798 (not @t3498)))) % 0.42/1.40 (step @p6491 :rule bool-and-de-morgan :args (@t1797 @t3498 true)) % 0.42/1.40 (step @p6492 :rule trans :premises (@p6491 @p6490)) % 0.42/1.40 (step @p6493 :rule nary_cong :premises (@p6492 @p6479) :args ((or (not @t3499) @t1794))) % 0.42/1.40 (step @p6494 :rule trans :premises (@p6493 @p6488)) % 0.42/1.40 (step @p6495 :rule bool-impl-elim :args (@t3499 @t1794)) % 0.42/1.40 (step @p6496 :rule trans :premises (@p6495 @p6494)) % 0.42/1.40 (step @p6497 :rule cong :premises (@p6496) :args ((forall @t118 (=> @t3499 @t1794)))) % 0.42/1.40 (step @p6498 :rule trans :premises (@p6497 @p6487)) % 0.42/1.40 (step @p6499 :rule refl :args (@t1785)) % 0.42/1.40 (step @p6500 :rule refl :args (@t1789)) % 0.42/1.40 (step @p6501 :rule refl :args (@t1790)) % 0.42/1.40 (step @p6502 :rule refl :args (@t109)) % 0.42/1.40 (step @p6503 :rule cong :premises (@p6502 @p6501) :args ((= @t109 @t1790))) % 0.42/1.40 (step @p6504 :rule symm :premises (@p6503)) % 0.42/1.40 (step @p6505 :rule eq_resolve :premises (@p6502 @p6504)) % 0.42/1.40 (step @p6506 :rule cong :premises (@p6505) :args (@t3500)) % 0.42/1.40 (step @p6507 :rule refl :args (@t1792)) % 0.42/1.40 (step @p6508 :rule refl :args (@t110)) % 0.42/1.40 (step @p6509 :rule cong :premises (@p6508 @p6507) :args ((= @t110 @t1792))) % 0.42/1.40 (step @p6510 :rule symm :premises (@p6509)) % 0.42/1.40 (step @p6511 :rule eq_resolve :premises (@p6508 @p6510)) % 0.42/1.40 (step @p6512 :rule cong :premises (@p6511) :args (@t3501)) % 0.42/1.40 (step @p6513 :rule nary_cong :premises (@p6512 @p6506 @p6500 @p6499) :args (@t3502)) % 0.42/1.40 (step @p6514 :rule cong :premises (@p6513) :args ((forall @t112 @t3502))) % 0.42/1.40 (step @p6515 :rule aci_norm :args ((= (or @t3501 (or @t3500 (or @t1789 @t1785))) @t3502))) % 0.42/1.40 (step @p6516 :rule bool-and-de-morgan :args (@t1788 @t1784 true)) % 0.42/1.40 (step @p6517 :rule refl :args (@t3500)) % 0.42/1.40 (step @p6518 :rule nary_cong :premises (@p6517 @p6516) :args ((or @t3500 (not (and @t1788 @t1784))))) % 0.42/1.40 (step @p6519 :rule bool-and-de-morgan :args (@t109 @t1788 (and @t1784))) % 0.42/1.40 (step @p6520 :rule trans :premises (@p6519 @p6518)) % 0.42/1.40 (step @p6521 :rule refl :args (@t3501)) % 0.42/1.40 (step @p6522 :rule nary_cong :premises (@p6521 @p6520) :args ((or @t3501 (not (and @t109 @t1788 @t1784))))) % 0.42/1.40 (step @p6523 :rule bool-and-de-morgan :args (@t110 @t109 (and @t1788 @t1784))) % 0.42/1.40 (step @p6524 :rule trans :premises (@p6523 @p6522)) % 0.42/1.40 (step @p6525 :rule trans :premises (@p6524 @p6515)) % 0.42/1.40 (step @p6526 :rule cong :premises (@p6525) :args (@t3504)) % 0.42/1.40 (step @p6527 :rule trans :premises (@p6526 @p6514)) % 0.42/1.40 (step @p6528 :rule cong :premises (@p6527) :args (@t3505)) % 0.42/1.40 (step @p6529 :rule exists-elim :args ((= (exists @t112 @t3503) @t3505))) % 0.42/1.40 (step @p6530 :rule trans :premises (@p6529 @p6528)) % 0.42/1.40 (step @p6531 :rule aci_norm :args ((= @t3507 @t1782))) % 0.42/1.40 (step @p6532 :rule cong :premises (@p6531) :args (@t3508)) % 0.42/1.40 (step @p6533 :rule quant-merge-prenex :args ((= (forall @t102 @t3510) @t3508))) % 0.42/1.40 (step @p6534 :rule refl :args (@t1779)) % 0.42/1.40 (step @p6535 :rule alpha_equiv :args (@t3511 (@list @t1776) @t2070)) % 0.42/1.40 (step @p6536 :rule refl :args (@t1781)) % 0.42/1.40 (step @p6537 :rule nary_cong :premises (@p6536 @p6535 @p6534) :args (@t3512)) % 0.42/1.40 (step @p6538 :rule quant-miniscope-or :args ((= @t3510 @t3512))) % 0.42/1.40 (step @p6539 :rule trans :premises (@p6538 @p6537)) % 0.42/1.40 (step @p6540 :rule symm :premises (@p6539)) % 0.42/1.40 (step @p6541 :rule cong :premises (@p6540) :args ((forall @t102 (or @t1781 @t3514 @t1779)))) % 0.42/1.40 (step @p6542 :rule trans :premises (@p6541 @p6533)) % 0.42/1.40 (step @p6543 :rule trans :premises (@p6542 @p6532)) % 0.42/1.40 (step @p6544 :rule refl :args (@t1779)) % 0.42/1.40 (step @p6545 :rule refl :args (@t94)) % 0.42/1.40 (step @p6546 :rule cong :premises (@p6545 @p6544) :args ((= @t94 @t1779))) % 0.42/1.40 (step @p6547 :rule symm :premises (@p6546)) % 0.42/1.40 (step @p6548 :rule eq_resolve :premises (@p6545 @p6547)) % 0.42/1.40 (step @p6549 :rule refl :args (@t3514)) % 0.42/1.40 (step @p6550 :rule refl :args (@t1780)) % 0.42/1.40 (step @p6551 :rule refl :args (@t100)) % 0.42/1.40 (step @p6552 :rule cong :premises (@p6551 @p6550) :args ((= @t100 @t1780))) % 0.42/1.40 (step @p6553 :rule symm :premises (@p6552)) % 0.42/1.40 (step @p6554 :rule eq_resolve :premises (@p6551 @p6553)) % 0.42/1.40 (step @p6555 :rule cong :premises (@p6554) :args (@t3515)) % 0.42/1.40 (step @p6556 :rule nary_cong :premises (@p6555 @p6549 @p6548) :args (@t3516)) % 0.42/1.40 (step @p6557 :rule cong :premises (@p6556) :args ((forall @t102 @t3516))) % 0.42/1.40 (step @p6558 :rule trans :premises (@p6557 @p6543)) % 0.42/1.40 (step @p6559 :rule aci_norm :args ((= (or @t3515 @t3517) @t3516))) % 0.42/1.40 (step @p6560 :rule bool-impl-elim :args (@t100 @t3517)) % 0.42/1.40 (step @p6561 :rule trans :premises (@p6560 @p6559)) % 0.42/1.40 (step @p6562 :rule cong :premises (@p6561) :args ((forall @t102 (=> @t100 @t3517)))) % 0.42/1.40 (step @p6563 :rule trans :premises (@p6562 @p6558)) % 0.42/1.40 (step @p6564 :rule refl :args (@t94)) % 0.42/1.40 (step @p6565 :rule refl :args (@t1787)) % 0.42/1.40 (step @p6566 :rule refl :args (@t96)) % 0.42/1.40 (step @p6567 :rule cong :premises (@p6566 @p6565) :args ((= @t96 @t1787))) % 0.42/1.40 (step @p6568 :rule symm :premises (@p6567)) % 0.42/1.40 (step @p6569 :rule eq_resolve :premises (@p6566 @p6568)) % 0.42/1.40 (step @p6570 :rule refl :args (@t3513)) % 0.42/1.40 (step @p6571 :rule refl :args (@t97)) % 0.42/1.40 (step @p6572 :rule cong :premises (@p6571 @p6570) :args ((= @t97 @t3513))) % 0.42/1.40 (step @p6573 :rule symm :premises (@p6572)) % 0.42/1.40 (step @p6574 :rule eq_resolve :premises (@p6571 @p6573)) % 0.42/1.40 (step @p6575 :rule cong :premises (@p6574) :args (@t3518)) % 0.42/1.40 (step @p6576 :rule nary_cong :premises (@p6575 @p6569) :args (@t3519)) % 0.42/1.40 (step @p6577 :rule cong :premises (@p6576) :args ((forall @t70 @t3519))) % 0.42/1.40 (step @p6578 :rule bool-impl-elim :args (@t97 @t96)) % 0.42/1.40 (step @p6579 :rule cong :premises (@p6578) :args (@t98)) % 0.42/1.40 (step @p6580 :rule trans :premises (@p6579 @p6577)) % 0.42/1.40 (step @p6581 :rule nary_cong :premises (@p6580 @p6564) :args (@t99)) % 0.42/1.40 (step @p6582 :rule refl :args (@t100)) % 0.42/1.40 (step @p6583 :rule cong :premises (@p6582 @p6581) :args (@t101)) % 0.42/1.40 (step @p6584 :rule cong :premises (@p6583) :args (@t103)) % 0.42/1.40 (step @p6585 :rule trans :premises (@p6584 @p6563)) % 0.42/1.40 (step @p6586 :rule bool-double-not-elim :args (@t1788)) % 0.42/1.40 (step @p6587 :rule refl :args (@t1786)) % 0.42/1.40 (step @p6588 :rule refl :args (@t105)) % 0.42/1.40 (step @p6589 :rule cong :premises (@p6588 @p6587) :args ((= @t105 @t1786))) % 0.42/1.40 (step @p6590 :rule symm :premises (@p6589)) % 0.42/1.40 (step @p6591 :rule eq_resolve :premises (@p6588 @p6590)) % 0.42/1.40 (step @p6592 :rule cong :premises (@p6591) :args (@t3520)) % 0.42/1.40 (step @p6593 :rule cong :premises (@p6569) :args (@t3521)) % 0.42/1.40 (step @p6594 :rule nary_cong :premises (@p6593 @p6592) :args (@t3522)) % 0.42/1.40 (step @p6595 :rule cong :premises (@p6594) :args ((forall @t70 @t3522))) % 0.42/1.40 (step @p6596 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 0.42/1.40 (step @p6597 :rule cong :premises (@p6596) :args (@t3523)) % 0.42/1.40 (step @p6598 :rule trans :premises (@p6597 @p6595)) % 0.42/1.40 (step @p6599 :rule cong :premises (@p6598) :args (@t3524)) % 0.42/1.40 (step @p6600 :rule exists-elim :args ((= @t107 @t3524))) % 0.42/1.40 (step @p6601 :rule trans :premises (@p6600 @p6599)) % 0.42/1.40 (step @p6602 :rule cong :premises (@p6601) :args (@t108)) % 0.42/1.40 (step @p6603 :rule trans :premises (@p6602 @p6586)) % 0.42/1.40 (step @p6604 :rule refl :args (@t109)) % 0.42/1.40 (step @p6605 :rule refl :args (@t110)) % 0.42/1.40 (step @p6606 :rule nary_cong :premises (@p6605 @p6604 @p6603 @p6585) :args (@t111)) % 0.42/1.40 (step @p6607 :rule cong :premises (@p6606) :args (@t113)) % 0.42/1.40 (step @p6608 :rule trans :premises (@p6607 @p6530)) % 0.42/1.40 (step @p6609 :rule cong :premises (@p6506) :args (@t3525)) % 0.42/1.40 (step @p6610 :rule cong :premises (@p6609) :args (@t3526)) % 0.42/1.40 (step @p6611 :rule exists-elim :args ((= @t114 @t3526))) % 0.42/1.40 (step @p6612 :rule trans :premises (@p6611 @p6610)) % 0.42/1.40 (step @p6613 :rule nary_cong :premises (@p6506 @p701) :args (@t3527)) % 0.42/1.40 (step @p6614 :rule cong :premises (@p6613) :args ((forall @t9 @t3527))) % 0.42/1.40 (step @p6615 :rule bool-impl-elim :args (@t109 @t7)) % 0.42/1.40 (step @p6616 :rule cong :premises (@p6615) :args (@t115)) % 0.42/1.40 (step @p6617 :rule trans :premises (@p6616 @p6614)) % 0.42/1.40 (step @p6618 :rule nary_cong :premises (@p6617 @p6612) :args (@t116)) % 0.42/1.40 (step @p6619 :rule cong :premises (@p6618 @p6608) :args (@t117)) % 0.42/1.40 (step @p6620 :rule cong :premises (@p6619) :args (@t119)) % 0.42/1.40 (step @p6621 :rule trans :premises (@p6620 @p6498)) % 0.42/1.40 (step @p6622 :rule aci_norm :args ((= @t3530 @t1810))) % 0.42/1.40 (step @p6623 :rule cong :premises (@p6622) :args (@t3531)) % 0.42/1.40 (step @p6624 :rule quant-merge-prenex :args ((= (forall @t127 @t3532) @t3531))) % 0.42/1.40 (step @p6625 :rule alpha_equiv :args (@t3533 (@list @t1802) @t2061)) % 0.42/1.40 (step @p6626 :rule alpha_equiv :args (@t3534 (@list @t1805) @t2061)) % 0.42/1.40 (step @p6627 :rule refl :args (@t1793)) % 0.42/1.40 (step @p6628 :rule refl :args (@t1809)) % 0.42/1.40 (step @p6629 :rule nary_cong :premises (@p6628 @p6627 @p6626 @p6625) :args (@t3535)) % 0.42/1.40 (step @p6630 :rule quant-miniscope-or :args ((= @t3532 @t3535))) % 0.42/1.40 (step @p6631 :rule trans :premises (@p6630 @p6629)) % 0.42/1.40 (step @p6632 :rule symm :premises (@p6631)) % 0.42/1.40 (step @p6633 :rule cong :premises (@p6632) :args ((forall @t127 (or @t1809 @t1793 @t3538 @t3537)))) % 0.42/1.40 (step @p6634 :rule trans :premises (@p6633 @p6624)) % 0.42/1.40 (step @p6635 :rule trans :premises (@p6634 @p6623)) % 0.42/1.40 (step @p6636 :rule refl :args (@t3537)) % 0.42/1.40 (step @p6637 :rule refl :args (@t3538)) % 0.42/1.40 (step @p6638 :rule refl :args (@t1808)) % 0.42/1.40 (step @p6639 :rule refl :args (@t124)) % 0.42/1.40 (step @p6640 :rule cong :premises (@p6639 @p6638) :args ((= @t124 @t1808))) % 0.42/1.40 (step @p6641 :rule symm :premises (@p6640)) % 0.42/1.40 (step @p6642 :rule eq_resolve :premises (@p6639 @p6641)) % 0.42/1.40 (step @p6643 :rule cong :premises (@p6642) :args (@t3539)) % 0.42/1.40 (step @p6644 :rule nary_cong :premises (@p6643 @p6512 @p6637 @p6636) :args (@t3540)) % 0.42/1.40 (step @p6645 :rule cong :premises (@p6644) :args ((forall @t127 @t3540))) % 0.42/1.40 (step @p6646 :rule trans :premises (@p6645 @p6635)) % 0.42/1.40 (step @p6647 :rule aci_norm :args ((= (or (or @t3539 @t3501) @t3541) @t3540))) % 0.42/1.40 (step @p6648 :rule refl :args (@t3541)) % 0.42/1.40 (step @p6649 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 0.42/1.40 (step @p6650 :rule nary_cong :premises (@p6649 @p6648) :args ((or (not @t125) @t3541))) % 0.42/1.40 (step @p6651 :rule trans :premises (@p6650 @p6647)) % 0.42/1.40 (step @p6652 :rule bool-impl-elim :args (@t125 @t3541)) % 0.42/1.40 (step @p6653 :rule trans :premises (@p6652 @p6651)) % 0.42/1.40 (step @p6654 :rule cong :premises (@p6653) :args ((forall @t127 (=> @t125 @t3541)))) % 0.42/1.40 (step @p6655 :rule trans :premises (@p6654 @p6646)) % 0.42/1.40 (step @p6656 :rule refl :args (@t3536)) % 0.42/1.40 (step @p6657 :rule refl :args (@t120)) % 0.42/1.40 (step @p6658 :rule cong :premises (@p6657 @p6656) :args ((= @t120 @t3536))) % 0.42/1.40 (step @p6659 :rule symm :premises (@p6658)) % 0.42/1.40 (step @p6660 :rule eq_resolve :premises (@p6657 @p6659)) % 0.42/1.40 (step @p6661 :rule cong :premises (@p6660) :args (@t3542)) % 0.42/1.40 (step @p6662 :rule nary_cong :premises (@p6661 @p6505) :args (@t3543)) % 0.42/1.40 (step @p6663 :rule cong :premises (@p6662) :args ((forall @t9 @t3543))) % 0.42/1.40 (step @p6664 :rule bool-impl-elim :args (@t120 @t109)) % 0.42/1.40 (step @p6665 :rule cong :premises (@p6664) :args (@t121)) % 0.42/1.40 (step @p6666 :rule trans :premises (@p6665 @p6663)) % 0.42/1.40 (step @p6667 :rule nary_cong :premises (@p6506 @p6660) :args (@t3544)) % 0.42/1.40 (step @p6668 :rule cong :premises (@p6667) :args ((forall @t9 @t3544))) % 0.42/1.40 (step @p6669 :rule bool-impl-elim :args (@t109 @t120)) % 0.42/1.40 (step @p6670 :rule cong :premises (@p6669) :args (@t122)) % 0.42/1.40 (step @p6671 :rule trans :premises (@p6670 @p6668)) % 0.42/1.40 (step @p6672 :rule nary_cong :premises (@p6671 @p6666) :args (@t123)) % 0.42/1.40 (step @p6673 :rule refl :args (@t125)) % 0.42/1.40 (step @p6674 :rule cong :premises (@p6673 @p6672) :args (@t126)) % 0.42/1.40 (step @p6675 :rule cong :premises (@p6674) :args (@t128)) % 0.42/1.40 (step @p6676 :rule trans :premises (@p6675 @p6655)) % 0.42/1.40 (step @p6677 :rule refl :args (@t1815)) % 0.42/1.40 (step @p6678 :rule nary_cong :premises (@p702 @p723 @p6677 @p711) :args (@t3545)) % 0.42/1.40 (step @p6679 :rule cong :premises (@p6678) :args ((forall @t135 @t3545))) % 0.42/1.40 (step @p6680 :rule aci_norm :args ((= (or (or @t197 @t2075) (or @t1815 @t129)) @t3545))) % 0.42/1.40 (step @p6681 :rule bool-impl-elim :args (@t1814 @t129)) % 0.42/1.40 (step @p6682 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 0.42/1.40 (step @p6683 :rule nary_cong :premises (@p6682 @p6681) :args ((or (not @t133) @t3546))) % 0.42/1.40 (step @p6684 :rule trans :premises (@p6683 @p6680)) % 0.42/1.40 (step @p6685 :rule bool-impl-elim :args (@t133 @t3546)) % 0.42/1.40 (step @p6686 :rule trans :premises (@p6685 @p6684)) % 0.42/1.40 (step @p6687 :rule cong :premises (@p6686) :args ((forall @t135 (=> @t133 @t3546)))) % 0.42/1.40 (step @p6688 :rule trans :premises (@p6687 @p6679)) % 0.42/1.40 (step @p6689 :rule cong :premises (@p6505 @p6591) :args (@t130)) % 0.42/1.40 (step @p6690 :rule nary_cong :premises (@p6643 @p6689) :args (@t3547)) % 0.42/1.40 (step @p6691 :rule cong :premises (@p6690) :args ((forall @t118 @t3547))) % 0.42/1.40 (step @p6692 :rule bool-impl-elim :args (@t124 @t130)) % 0.42/1.40 (step @p6693 :rule cong :premises (@p6692) :args (@t131)) % 0.42/1.40 (step @p6694 :rule trans :premises (@p6693 @p6691)) % 0.42/1.40 (step @p6695 :rule cong :premises (@p6694 @p2409) :args (@t132)) % 0.42/1.40 (step @p6696 :rule refl :args (@t133)) % 0.42/1.40 (step @p6697 :rule cong :premises (@p6696 @p6695) :args (@t134)) % 0.42/1.40 (step @p6698 :rule cong :premises (@p6697) :args (@t136)) % 0.42/1.40 (step @p6699 :rule trans :premises (@p6698 @p6688)) % 0.42/1.40 (step @p6700 :rule aci_norm :args ((= @t3549 @t1821))) % 0.42/1.40 (step @p6701 :rule cong :premises (@p6700) :args (@t3550)) % 0.42/1.40 (step @p6702 :rule quant-merge-prenex :args ((= (forall @t118 @t3552) @t3550))) % 0.42/1.40 (step @p6703 :rule alpha_equiv :args (@t3553 (@list @t1818) @t2061)) % 0.42/1.40 (step @p6704 :rule nary_cong :premises (@p6628 @p6703) :args (@t3554)) % 0.42/1.40 (step @p6705 :rule quant-miniscope-or :args ((= @t3552 @t3554))) % 0.42/1.40 (step @p6706 :rule trans :premises (@p6705 @p6704)) % 0.42/1.40 (step @p6707 :rule symm :premises (@p6706)) % 0.42/1.40 (step @p6708 :rule cong :premises (@p6707) :args ((forall @t118 (or @t1809 @t1797)))) % 0.42/1.40 (step @p6709 :rule trans :premises (@p6708 @p6702)) % 0.42/1.40 (step @p6710 :rule trans :premises (@p6709 @p6701)) % 0.42/1.40 (step @p6711 :rule refl :args (@t1797)) % 0.42/1.40 (step @p6712 :rule nary_cong :premises (@p6643 @p6711) :args (@t3555)) % 0.42/1.40 (step @p6713 :rule cong :premises (@p6712) :args ((forall @t118 @t3555))) % 0.42/1.40 (step @p6714 :rule trans :premises (@p6713 @p6710)) % 0.42/1.40 (step @p6715 :rule bool-impl-elim :args (@t124 @t1797)) % 0.42/1.40 (step @p6716 :rule cong :premises (@p6715) :args ((forall @t118 (=> @t124 @t1797)))) % 0.42/1.40 (step @p6717 :rule trans :premises (@p6716 @p6714)) % 0.42/1.40 (step @p6718 :rule refl :args (@t124)) % 0.42/1.40 (step @p6719 :rule cong :premises (@p6718 @p6617) :args (@t137)) % 0.42/1.40 (step @p6720 :rule cong :premises (@p6719) :args (@t138)) % 0.42/1.40 (step @p6721 :rule trans :premises (@p6720 @p6717)) % 0.42/1.40 (step @p6722 :rule nary_cong :premises (@p6721 @p6699 @p6676 @p6621) :args (@t139)) % 0.42/1.40 (step @p6723 :rule cong :premises (@p6722) :args (@t140)) % 0.42/1.40 (step @p6724 :rule trans :premises (@p6723 @p6477)) % 0.42/1.40 (step @p6725 :rule cong :premises (@p6724) :args (@t141)) % 0.42/1.40 (step @p6726 :rule refl :args (tptp.wellorderingAx)) % 0.42/1.40 (step @p6727 :rule cong :premises (@p6726 @p6725) :args (@t142)) % 0.42/1.40 (step @p6728 :rule eq_resolve :premises (@p11 @p6727)) % 0.42/1.40 (step @p6729 :rule cong :premises (@p6728 @p6462) :args (@t3556)) % 0.42/1.40 (step @p6730 :rule quant-merge-prenex :args ((= (forall @t64 @t3558) @t1834))) % 0.42/1.40 (step @p6731 :rule refl :args (@t1830)) % 0.42/1.40 (step @p6732 :rule alpha_equiv :args (@t3559 (@list @t1831) @t2061)) % 0.42/1.40 (step @p6733 :rule nary_cong :premises (@p6732 @p6731) :args (@t3560)) % 0.42/1.40 (step @p6734 :rule quant-miniscope-or :args ((= @t3558 @t3560))) % 0.42/1.40 (step @p6735 :rule trans :premises (@p6734 @p6733)) % 0.42/1.40 (step @p6736 :rule symm :premises (@p6735)) % 0.42/1.40 (step @p6737 :rule cong :premises (@p6736) :args ((forall @t64 (or @t1682 @t1830)))) % 0.42/1.40 (step @p6738 :rule trans :premises (@p6737 @p6730)) % 0.42/1.40 (step @p6739 :rule nary_cong :premises (@p6110 @p6731) :args ((or @t3401 @t1830))) % 0.42/1.40 (step @p6740 :rule bool-impl-elim :args (@t1683 @t1830)) % 0.42/1.40 (step @p6741 :rule trans :premises (@p6740 @p6739)) % 0.42/1.40 (step @p6742 :rule cong :premises (@p6741) :args ((forall @t64 (=> @t1683 @t1830)))) % 0.42/1.40 (step @p6743 :rule trans :premises (@p6742 @p6738)) % 0.42/1.40 (step @p6744 :rule refl :args (@t1829)) % 0.42/1.40 (step @p6745 :rule nary_cong :premises (@p5848 @p6744) :args (@t3561)) % 0.42/1.40 (step @p6746 :rule cong :premises (@p6745) :args ((forall @t41 @t3561))) % 0.42/1.40 (step @p6747 :rule bool-and-de-morgan :args (@t39 @t1828 true)) % 0.42/1.40 (step @p6748 :rule cong :premises (@p6747) :args (@t3563)) % 0.42/1.40 (step @p6749 :rule trans :premises (@p6748 @p6746)) % 0.42/1.40 (step @p6750 :rule cong :premises (@p6749) :args (@t3564)) % 0.42/1.40 (step @p6751 :rule exists-elim :args ((= (exists @t41 @t3562) @t3564))) % 0.42/1.40 (step @p6752 :rule trans :premises (@p6751 @p6750)) % 0.42/1.40 (step @p6753 :rule bool-double-not-elim :args (@t1828)) % 0.42/1.40 (step @p6754 :rule nary_cong :premises (@p3514 @p702) :args (@t3565)) % 0.42/1.40 (step @p6755 :rule cong :premises (@p6754) :args ((forall @t9 @t3565))) % 0.42/1.40 (step @p6756 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 0.42/1.40 (step @p6757 :rule cong :premises (@p6756) :args (@t3566)) % 0.42/1.40 (step @p6758 :rule trans :premises (@p6757 @p6755)) % 0.42/1.40 (step @p6759 :rule cong :premises (@p6758) :args (@t3567)) % 0.42/1.40 (step @p6760 :rule exists-elim :args ((= @t85 @t3567))) % 0.42/1.40 (step @p6761 :rule trans :premises (@p6760 @p6759)) % 0.42/1.40 (step @p6762 :rule cong :premises (@p6761) :args (@t86)) % 0.42/1.40 (step @p6763 :rule trans :premises (@p6762 @p6753)) % 0.42/1.40 (step @p6764 :rule refl :args (@t39)) % 0.42/1.40 (step @p6765 :rule nary_cong :premises (@p6764 @p6763) :args (@t87)) % 0.42/1.40 (step @p6766 :rule cong :premises (@p6765) :args (@t88)) % 0.42/1.40 (step @p6767 :rule trans :premises (@p6766 @p6752)) % 0.42/1.40 (step @p6768 :rule cong :premises (@p5733 @p6767) :args (@t90)) % 0.42/1.40 (step @p6769 :rule cong :premises (@p6768) :args (@t91)) % 0.42/1.40 (step @p6770 :rule trans :premises (@p6769 @p6743)) % 0.42/1.40 (step @p6771 :rule refl :args (tptp.foundationAx)) % 0.42/1.40 (step @p6772 :rule cong :premises (@p6771 @p6770) :args (@t92)) % 0.42/1.40 (step @p6773 :rule eq_resolve :premises (@p10 @p6772)) % 0.42/1.40 (step @p6774 :rule cong :premises (@p6773 @p6729) :args (@t3568)) % 0.42/1.40 (step @p6775 :rule bool-impl-elim :args (@t1847 @t1839)) % 0.42/1.40 (step @p6776 :rule cong :premises (@p6775) :args ((forall @t81 (=> @t1847 @t1839)))) % 0.42/1.40 (step @p6777 :rule exists-elim :args ((= (exists @t41 @t1838) @t1839))) % 0.42/1.40 (step @p6778 :rule refl :args (@t1837)) % 0.42/1.40 (step @p6779 :rule cong :premises (@p3491 @p6778) :args (@t3569)) % 0.42/1.40 (step @p6780 :rule cong :premises (@p6779) :args ((forall @t9 @t3569))) % 0.42/1.40 (step @p6781 :rule refl :args (@t1836)) % 0.42/1.40 (step @p6782 :rule refl :args (@t68)) % 0.42/1.40 (step @p6783 :rule cong :premises (@p6782 @p6781) :args ((= @t68 @t1836))) % 0.42/1.40 (step @p6784 :rule symm :premises (@p6783)) % 0.42/1.40 (step @p6785 :rule eq_resolve :premises (@p6782 @p6784)) % 0.42/1.40 (step @p6786 :rule cong :premises (@p6785) :args (@t3570)) % 0.42/1.40 (step @p6787 :rule nary_cong :premises (@p723 @p6786) :args (@t3571)) % 0.42/1.40 (step @p6788 :rule cong :premises (@p6787) :args ((forall @t70 @t3571))) % 0.42/1.40 (step @p6789 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 0.42/1.40 (step @p6790 :rule cong :premises (@p6789) :args (@t3572)) % 0.42/1.40 (step @p6791 :rule trans :premises (@p6790 @p6788)) % 0.42/1.40 (step @p6792 :rule cong :premises (@p6791) :args (@t3573)) % 0.42/1.40 (step @p6793 :rule exists-elim :args ((= @t71 @t3573))) % 0.42/1.40 (step @p6794 :rule trans :premises (@p6793 @p6792)) % 0.42/1.40 (step @p6795 :rule refl :args (@t6)) % 0.42/1.40 (step @p6796 :rule cong :premises (@p6795 @p6794) :args (@t72)) % 0.42/1.40 (step @p6797 :rule cong :premises (@p6796) :args (@t73)) % 0.42/1.40 (step @p6798 :rule trans :premises (@p6797 @p6780)) % 0.42/1.40 (step @p6799 :rule cong :premises (@p6798) :args (@t74)) % 0.42/1.40 (step @p6800 :rule trans :premises (@p6799 @p6777)) % 0.42/1.40 (step @p6801 :rule refl :args (@t1846)) % 0.42/1.40 (step @p6802 :rule nary_cong :premises (@p702 @p6801) :args (@t3574)) % 0.42/1.40 (step @p6803 :rule cong :premises (@p6802) :args ((forall @t9 @t3574))) % 0.42/1.40 (step @p6804 :rule bool-impl-elim :args (@t7 @t1846)) % 0.42/1.40 (step @p6805 :rule cong :premises (@p6804) :args ((forall @t9 (=> @t7 @t1846)))) % 0.42/1.40 (step @p6806 :rule trans :premises (@p6805 @p6803)) % 0.42/1.40 (step @p6807 :rule refl :args (@t1843)) % 0.42/1.40 (step @p6808 :rule refl :args (@t1844)) % 0.42/1.40 (step @p6809 :rule refl :args (@t3575)) % 0.42/1.40 (step @p6810 :rule cong :premises (@p6809 @p6808) :args ((= @t3575 @t1844))) % 0.42/1.40 (step @p6811 :rule symm :premises (@p6810)) % 0.42/1.40 (step @p6812 :rule eq_resolve :premises (@p6809 @p6811)) % 0.42/1.40 (step @p6813 :rule cong :premises (@p6812) :args (@t3576)) % 0.42/1.40 (step @p6814 :rule nary_cong :premises (@p6813 @p6807) :args (@t3577)) % 0.42/1.40 (step @p6815 :rule cong :premises (@p6814) :args ((forall @t1845 @t3577))) % 0.42/1.40 (step @p6816 :rule refl :args (@t1841)) % 0.42/1.40 (step @p6817 :rule nary_cong :premises (@p1846 @p6816) :args (@t3578)) % 0.42/1.40 (step @p6818 :rule cong :premises (@p6817) :args ((forall @t70 @t3578))) % 0.42/1.40 (step @p6819 :rule refl :args (@t1841)) % 0.42/1.40 (step @p6820 :rule beta-reduce :args ((= @t3579 @t76))) % 0.42/1.40 (step @p6821 :rule cong :premises (@p6820) :args (@t3580)) % 0.42/1.40 (step @p6822 :rule nary_cong :premises (@p6821 @p6819) :args (@t3581)) % 0.42/1.40 (step @p6823 :rule cong :premises (@p6822) :args (@t3582)) % 0.42/1.40 (step @p6824 :rule trans :premises (@p6823 @p6818)) % 0.42/1.40 (step @p6825 :rule cong :premises (@p6824) :args (@t3583)) % 0.42/1.40 (step @p6826 :rule beta-reduce :args ((= @t3584 @t3575))) % 0.42/1.40 (step @p6827 :rule cong :premises (@p6826) :args (@t3585)) % 0.42/1.40 (step @p6828 :rule nary_cong :premises (@p6827 @p6825) :args (@t3586)) % 0.42/1.40 (step @p6829 :rule cong :premises (@p6828) :args (@t3587)) % 0.42/1.40 (step @p6830 :rule trans :premises (@p6829 @p6815)) % 0.42/1.40 (step @p6831 :rule cong :premises (@p6830) :args (@t3588)) % 0.42/1.40 (step @p6832 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t1845 (or @t3589 (not (forall @t70 (or @t1393 @t1841))))))) @t77) @t3588))) % 0.42/1.40 (step @p6833 :rule trans :premises (@p6832 @p6831)) % 0.42/1.40 (step @p6834 :rule refl :args (@t77)) % 0.42/1.40 (step @p6835 :rule eq-symm :args (@t1840 @t19)) % 0.42/1.40 (step @p6836 :rule nary_cong :premises (@p4750 @p6835) :args (@t3590)) % 0.42/1.40 (step @p6837 :rule cong :premises (@p6836) :args (@t3591)) % 0.42/1.40 (step @p6838 :rule cong :premises (@p6837) :args (@t3592)) % 0.42/1.40 (step @p6839 :rule refl :args (@t3589)) % 0.42/1.40 (step @p6840 :rule nary_cong :premises (@p6839 @p6838) :args (@t3593)) % 0.42/1.40 (step @p6841 :rule cong :premises (@p6840) :args (@t3594)) % 0.42/1.40 (step @p6842 :rule cong :premises (@p6841) :args (@t3595)) % 0.42/1.40 (step @p6843 :rule cong :premises (@p6842) :args ((lambda @t150 @t3595))) % 0.42/1.40 (step @p6844 :rule ho_cong :premises (@p6843 @p6834)) % 0.42/1.40 (step @p6845 :rule trans :premises (@p6844 @p6833)) % 0.42/1.40 (step @p6846 :rule refl :args (@t77)) % 0.42/1.40 (step @p6847 :rule alpha_equiv :args (@t1634 @t2061 (@list @t1840))) % 0.42/1.40 (step @p6848 :rule cong :premises (@p6847) :args (@t1635)) % 0.42/1.40 (step @p6849 :rule cong :premises (@p6848) :args (@t3079)) % 0.42/1.40 (step @p6850 :rule ho_cong :premises (@p6849 @p6846)) % 0.42/1.40 (step @p6851 :rule trans :premises (@p6850 @p6845)) % 0.42/1.40 (step @p6852 :rule cong :premises (@p748 @p6851) :args (@t3596)) % 0.42/1.40 (step @p6853 :rule cong :premises (@p6852) :args (@t3597)) % 0.42/1.40 (step @p6854 :rule trans :premises (@p6853 @p6806)) % 0.42/1.40 (step @p6855 :rule cong :premises (@p6854 @p6800) :args (@t3598)) % 0.42/1.40 (step @p6856 :rule cong :premises (@p6855) :args (@t3599)) % 0.42/1.40 (step @p6857 :rule trans :premises (@p6856 @p6776)) % 0.42/1.40 (step @p6858 :rule refl :args (tptp.replAx)) % 0.42/1.40 (step @p6859 :rule cong :premises (@p6858 @p6857) :args ((= tptp.replAx @t3599))) % 0.42/1.40 (step @p6860 :rule refl :args (@t74)) % 0.42/1.40 (step @p6861 :rule ho_cong :premises (@p4910 @p6834)) % 0.42/1.40 (step @p6862 :rule cong :premises (@p748 @p6861) :args (@t78)) % 0.42/1.40 (step @p6863 :rule cong :premises (@p6862) :args (@t79)) % 0.42/1.40 (step @p6864 :rule cong :premises (@p6863 @p6860) :args (@t80)) % 0.42/1.40 (step @p6865 :rule cong :premises (@p6864) :args (@t82)) % 0.42/1.40 (step @p6866 :rule cong :premises (@p6858 @p6865) :args (@t83)) % 0.42/1.40 (step @p6867 :rule trans :premises (@p6866 @p6859)) % 0.42/1.40 (step @p6868 :rule eq_resolve :premises (@p9 @p6867)) % 0.42/1.40 (step @p6869 :rule cong :premises (@p6868 @p6774) :args (@t3600)) % 0.42/1.40 (step @p6870 :rule aci_norm :args ((= @t3602 @t1861))) % 0.42/1.40 (step @p6871 :rule cong :premises (@p6870) :args (@t3603)) % 0.42/1.40 (step @p6872 :rule quant-merge-prenex :args ((= (forall @t64 @t3605) @t3603))) % 0.42/1.40 (step @p6873 :rule alpha_equiv :args (@t3606 (@list @t1850) @t2061)) % 0.42/1.40 (step @p6874 :rule refl :args (@t1858)) % 0.42/1.40 (step @p6875 :rule refl :args (@t1860)) % 0.42/1.40 (step @p6876 :rule nary_cong :premises (@p6875 @p6874 @p6873) :args (@t3607)) % 0.42/1.40 (step @p6877 :rule quant-miniscope-or :args ((= @t3605 @t3607))) % 0.42/1.40 (step @p6878 :rule trans :premises (@p6877 @p6876)) % 0.42/1.40 (step @p6879 :rule symm :premises (@p6878)) % 0.42/1.40 (step @p6880 :rule cong :premises (@p6879) :args ((forall @t64 (or @t1860 @t1858 @t3608)))) % 0.42/1.40 (step @p6881 :rule trans :premises (@p6880 @p6872)) % 0.42/1.40 (step @p6882 :rule trans :premises (@p6881 @p6871)) % 0.42/1.40 (step @p6883 :rule refl :args (@t3608)) % 0.42/1.40 (step @p6884 :rule refl :args (@t1859)) % 0.42/1.40 (step @p6885 :rule refl :args (@t61)) % 0.42/1.40 (step @p6886 :rule cong :premises (@p6885 @p6884) :args ((= @t61 @t1859))) % 0.42/1.40 (step @p6887 :rule symm :premises (@p6886)) % 0.42/1.40 (step @p6888 :rule eq_resolve :premises (@p6885 @p6887)) % 0.42/1.40 (step @p6889 :rule cong :premises (@p6888) :args (@t3609)) % 0.42/1.40 (step @p6890 :rule nary_cong :premises (@p6889 @p6874 @p6883) :args (@t3610)) % 0.42/1.40 (step @p6891 :rule cong :premises (@p6890) :args ((forall @t64 @t3610))) % 0.42/1.40 (step @p6892 :rule trans :premises (@p6891 @p6882)) % 0.42/1.40 (step @p6893 :rule aci_norm :args ((= (or (or @t3609 @t1858) @t3608) @t3610))) % 0.42/1.40 (step @p6894 :rule bool-and-de-morgan :args (@t61 @t1857 true)) % 0.42/1.40 (step @p6895 :rule nary_cong :premises (@p6894 @p6883) :args ((or (not @t3611) @t3608))) % 0.42/1.40 (step @p6896 :rule trans :premises (@p6895 @p6893)) % 0.42/1.40 (step @p6897 :rule bool-impl-elim :args (@t3611 @t3608)) % 0.42/1.40 (step @p6898 :rule trans :premises (@p6897 @p6896)) % 0.42/1.40 (step @p6899 :rule cong :premises (@p6898) :args ((forall @t64 (=> @t3611 @t3608)))) % 0.42/1.40 (step @p6900 :rule trans :premises (@p6899 @p6892)) % 0.42/1.40 (step @p6901 :rule refl :args (@t1855)) % 0.42/1.40 (step @p6902 :rule refl :args (@t54)) % 0.42/1.40 (step @p6903 :rule cong :premises (@p6902 @p6901) :args ((= @t54 @t1855))) % 0.42/1.40 (step @p6904 :rule symm :premises (@p6903)) % 0.42/1.40 (step @p6905 :rule eq_resolve :premises (@p6902 @p6904)) % 0.42/1.40 (step @p6906 :rule cong :premises (@p6905) :args (@t3612)) % 0.42/1.40 (step @p6907 :rule nary_cong :premises (@p6906 @p701) :args (@t3613)) % 0.42/1.40 (step @p6908 :rule cong :premises (@p6907) :args ((forall @t9 @t3613))) % 0.42/1.40 (step @p6909 :rule bool-impl-elim :args (@t54 @t7)) % 0.42/1.40 (step @p6910 :rule cong :premises (@p6909) :args (@t57)) % 0.42/1.40 (step @p6911 :rule trans :premises (@p6910 @p6908)) % 0.42/1.40 (step @p6912 :rule refl :args ((tptp.in @t51 @t2))) % 0.42/1.40 (step @p6913 :rule refl :args (@t1853)) % 0.42/1.40 (step @p6914 :rule cong :premises (@p6913 @p769) :args (@t1854)) % 0.42/1.40 (step @p6915 :rule trans :premises (@p6914 @p6912)) % 0.42/1.40 (step @p6916 :rule ho_cong :premises (@p983 @p6913)) % 0.42/1.40 (step @p6917 :rule ho_cong :premises (@p6916 @p769)) % 0.42/1.40 (step @p6918 :rule cong :premises (@p6917 @p6915) :args ((= (_ @t3614 @t2) @t1854))) % 0.42/1.40 (step @p6919 :rule symm :premises (@p6918)) % 0.42/1.40 (step @p6920 :rule refl :args (@t58)) % 0.42/1.40 (step @p6921 :rule eq_resolve :premises (@p6920 @p6919)) % 0.42/1.40 (step @p6922 :rule refl :args (@t51)) % 0.42/1.40 (step @p6923 :rule cong :premises (@p6922 @p6913) :args ((= @t51 @t1853))) % 0.42/1.40 (step @p6924 :rule symm :premises (@p6923)) % 0.42/1.40 (step @p6925 :rule eq_resolve :premises (@p6922 @p6924)) % 0.42/1.40 (step @p6926 :rule ho_cong :premises (@p983 @p6925)) % 0.42/1.40 (step @p6927 :rule ho_cong :premises (@p6926 @p769)) % 0.42/1.40 (step @p6928 :rule trans :premises (@p6927 @p6921)) % 0.42/1.40 (step @p6929 :rule nary_cong :premises (@p6906 @p702 @p6928) :args (@t3615)) % 0.42/1.40 (step @p6930 :rule cong :premises (@p6929) :args ((forall @t9 @t3615))) % 0.42/1.40 (step @p6931 :rule aci_norm :args ((= (or (or @t3612 @t197) @t58) @t3615))) % 0.42/1.40 (step @p6932 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 0.42/1.40 (step @p6933 :rule nary_cong :premises (@p6932 @p6920) :args ((or (not @t59) @t58))) % 0.42/1.40 (step @p6934 :rule trans :premises (@p6933 @p6931)) % 0.42/1.40 (step @p6935 :rule bool-impl-elim :args (@t59 @t58)) % 0.42/1.40 (step @p6936 :rule trans :premises (@p6935 @p6934)) % 0.42/1.40 (step @p6937 :rule cong :premises (@p6936) :args (@t60)) % 0.42/1.40 (step @p6938 :rule trans :premises (@p6937 @p6930)) % 0.42/1.40 (step @p6939 :rule refl :args (@t61)) % 0.42/1.40 (step @p6940 :rule nary_cong :premises (@p6939 @p6938) :args (@t62)) % 0.42/1.40 (step @p6941 :rule cong :premises (@p6940 @p6911) :args (@t63)) % 0.42/1.40 (step @p6942 :rule cong :premises (@p6941) :args (@t65)) % 0.42/1.40 (step @p6943 :rule trans :premises (@p6942 @p6900)) % 0.42/1.40 (step @p6944 :rule refl :args (tptp.omegaIndAx)) % 0.42/1.40 (step @p6945 :rule cong :premises (@p6944 @p6943) :args (@t66)) % 0.42/1.40 (step @p6946 :rule eq_resolve :premises (@p8 @p6945)) % 0.42/1.40 (step @p6947 :rule cong :premises (@p6946 @p6869) :args (@t3616)) % 0.42/1.40 (step @p6948 :rule refl :args ((tptp.in @t51 tptp.omega))) % 0.42/1.40 (step @p6949 :rule refl :args (tptp.omega)) % 0.42/1.40 (step @p6950 :rule cong :premises (@p6913 @p6949) :args (@t1865)) % 0.42/1.40 (step @p6951 :rule trans :premises (@p6950 @p6948)) % 0.42/1.40 (step @p6952 :rule ho_cong :premises (@p6916 @p6949)) % 0.42/1.40 (step @p6953 :rule cong :premises (@p6952 @p6951) :args ((= (_ @t3614 tptp.omega) @t1865))) % 0.42/1.40 (step @p6954 :rule symm :premises (@p6953)) % 0.42/1.40 (step @p6955 :rule refl :args (@t53)) % 0.42/1.40 (step @p6956 :rule eq_resolve :premises (@p6955 @p6954)) % 0.42/1.40 (step @p6957 :rule ho_cong :premises (@p6926 @p6949)) % 0.42/1.40 (step @p6958 :rule trans :premises (@p6957 @p6956)) % 0.42/1.40 (step @p6959 :rule nary_cong :premises (@p6906 @p6958) :args (@t3617)) % 0.42/1.40 (step @p6960 :rule cong :premises (@p6959) :args ((forall @t9 @t3617))) % 0.42/1.40 (step @p6961 :rule bool-impl-elim :args (@t54 @t53)) % 0.42/1.40 (step @p6962 :rule cong :premises (@p6961) :args (@t55)) % 0.42/1.40 (step @p6963 :rule trans :premises (@p6962 @p6960)) % 0.42/1.40 (step @p6964 :rule refl :args (tptp.omegaSAx)) % 0.42/1.40 (step @p6965 :rule cong :premises (@p6964 @p6963) :args (@t56)) % 0.42/1.40 (step @p6966 :rule eq_resolve :premises (@p7 @p6965)) % 0.42/1.40 (step @p6967 :rule cong :premises (@p6966 @p6947) :args (@t3618)) % 0.42/1.40 (step @p6968 :rule cong :premises (@p6 @p6967) :args (@t3619)) % 0.42/1.40 (step @p6969 :rule eq-symm :args (@t1419 @t1701)) % 0.42/1.40 (step @p6970 :rule cong :premises (@p6969) :args ((forall @t46 (= @t1419 @t1701)))) % 0.42/1.40 (step @p6971 :rule cong :premises (@p2921 @p5816) :args (@t3620)) % 0.42/1.40 (step @p6972 :rule cong :premises (@p6971) :args ((forall @t46 @t3620))) % 0.42/1.40 (step @p6973 :rule trans :premises (@p6972 @p6970)) % 0.42/1.40 (step @p6974 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 0.42/1.40 (step @p6975 :rule cong :premises (@p6974) :args (@t3621)) % 0.42/1.40 (step @p6976 :rule trans :premises (@p6975 @p5850)) % 0.42/1.40 (step @p6977 :rule cong :premises (@p6976) :args (@t3622)) % 0.42/1.40 (step @p6978 :rule exists-elim :args ((= @t42 @t3622))) % 0.42/1.40 (step @p6979 :rule trans :premises (@p6978 @p6977)) % 0.42/1.40 (step @p6980 :rule cong :premises (@p2948 @p6979) :args (@t45)) % 0.42/1.40 (step @p6981 :rule cong :premises (@p6980) :args (@t47)) % 0.42/1.40 (step @p6982 :rule trans :premises (@p6981 @p6973)) % 0.42/1.40 (step @p6983 :rule refl :args (tptp.setunionAx)) % 0.42/1.40 (step @p6984 :rule cong :premises (@p6983 @p6982) :args (@t48)) % 0.42/1.40 (step @p6985 :rule eq_resolve :premises (@p5 @p6984)) % 0.42/1.40 (step @p6986 :rule cong :premises (@p6985 @p6968) :args (@t3623)) % 0.42/1.40 (step @p6987 :rule eq-symm :args (@t1565 @t1712)) % 0.42/1.40 (step @p6988 :rule cong :premises (@p6987) :args ((forall @t12 (= @t1565 @t1712)))) % 0.42/1.40 (step @p6989 :rule refl :args (@t1712)) % 0.42/1.40 (step @p6990 :rule cong :premises (@p4277 @p6989) :args (@t3624)) % 0.42/1.40 (step @p6991 :rule cong :premises (@p6990) :args ((forall @t12 @t3624))) % 0.42/1.40 (step @p6992 :rule trans :premises (@p6991 @p6988)) % 0.42/1.40 (step @p6993 :rule cong :premises (@p5934 @p5938) :args (@t36)) % 0.42/1.40 (step @p6994 :rule cong :premises (@p6993) :args (@t37)) % 0.42/1.40 (step @p6995 :rule trans :premises (@p6994 @p6992)) % 0.42/1.40 (step @p6996 :rule refl :args (tptp.powersetAx)) % 0.42/1.40 (step @p6997 :rule cong :premises (@p6996 @p6995) :args (@t38)) % 0.42/1.40 (step @p6998 :rule eq_resolve :premises (@p4 @p6997)) % 0.42/1.40 (step @p6999 :rule cong :premises (@p6998 @p6986) :args (@t3625)) % 0.42/1.40 (step @p7000 :rule nary_cong :premises (@p711 @p722) :args (@t3370)) % 0.42/1.40 (step @p7001 :rule cong :premises (@p5980 @p7000) :args (@t3626)) % 0.42/1.40 (step @p7002 :rule cong :premises (@p7001) :args ((forall @t28 @t3626))) % 0.42/1.40 (step @p7003 :rule cong :premises (@p5990 @p5989) :args (@t27)) % 0.42/1.40 (step @p7004 :rule cong :premises (@p7003) :args (@t29)) % 0.42/1.40 (step @p7005 :rule trans :premises (@p7004 @p7002)) % 0.42/1.40 (step @p7006 :rule refl :args (tptp.setadjoinAx)) % 0.42/1.40 (step @p7007 :rule cong :premises (@p7006 @p7005) :args (@t30)) % 0.42/1.40 (step @p7008 :rule eq_resolve :premises (@p3 @p7007)) % 0.42/1.40 (step @p7009 :rule cong :premises (@p7008 @p6999) :args (@t3627)) % 0.42/1.40 (step @p7010 :rule refl :args (tptp.emptysetAx)) % 0.42/1.40 (step @p7011 :rule cong :premises (@p7010 @p6287) :args (@t18)) % 0.42/1.40 (step @p7012 :rule eq_resolve :premises (@p2 @p7011)) % 0.42/1.40 (step @p7013 :rule cong :premises (@p7012 @p7009) :args (@t3628)) % 0.42/1.40 (step @p7014 :rule bool-impl-elim :args (@t1878 @t3)) % 0.42/1.40 (step @p7015 :rule cong :premises (@p7014) :args ((forall @t12 (=> @t1878 @t3)))) % 0.42/1.40 (step @p7016 :rule cong :premises (@p701 @p3491) :args (@t8)) % 0.42/1.40 (step @p7017 :rule cong :premises (@p7016) :args (@t10)) % 0.42/1.40 (step @p7018 :rule cong :premises (@p7017 @p4735) :args (@t11)) % 0.42/1.40 (step @p7019 :rule cong :premises (@p7018) :args (@t13)) % 0.42/1.40 (step @p7020 :rule trans :premises (@p7019 @p7015)) % 0.42/1.40 (step @p7021 :rule refl :args (tptp.setextAx)) % 0.42/1.40 (step @p7022 :rule cong :premises (@p7021 @p7020) :args (@t14)) % 0.42/1.40 (step @p7023 :rule eq_resolve :premises (@p1 @p7022)) % 0.42/1.40 (step @p7024 :rule cong :premises (@p7023 @p7013) :args (@t3629)) % 0.42/1.40 (step @p7025 :rule cong :premises (@p7024) :args ((not @t3629))) % 0.42/1.40 (step @p7026 :rule trans :premises (@p7025 @p646)) % 0.42/1.40 (step @p7027 :rule aci_norm :args ((= @t3631 @t1183))) % 0.42/1.40 (step @p7028 :rule cong :premises (@p7027) :args (@t3632)) % 0.42/1.40 (step @p7029 :rule quant-merge-prenex :args ((= (forall @t880 @t3634) @t3632))) % 0.42/1.40 (step @p7030 :rule alpha_equiv :args (@t3635 (@list @t1166) @t2061)) % 0.42/1.40 (step @p7031 :rule nary_cong :premises (@p1548 @p1368 @p7030) :args (@t3636)) % 0.42/1.40 (step @p7032 :rule quant-miniscope-or :args ((= @t3634 @t3636))) % 0.42/1.40 (step @p7033 :rule trans :premises (@p7032 @p7031)) % 0.42/1.40 (step @p7034 :rule symm :premises (@p7033)) % 0.42/1.40 (step @p7035 :rule cong :premises (@p7034) :args ((forall @t880 (or @t1182 @t1179 @t3639)))) % 0.42/1.40 (step @p7036 :rule trans :premises (@p7035 @p7029)) % 0.42/1.40 (step @p7037 :rule trans :premises (@p7036 @p7028)) % 0.42/1.40 (step @p7038 :rule refl :args (@t3639)) % 0.42/1.40 (step @p7039 :rule nary_cong :premises (@p1380 @p1368 @p7038) :args (@t3640)) % 0.42/1.40 (step @p7040 :rule cong :premises (@p7039) :args ((forall @t880 @t3640))) % 0.42/1.40 (step @p7041 :rule trans :premises (@p7040 @p7037)) % 0.42/1.40 (step @p7042 :rule aci_norm :args ((= (or @t2330 @t3639) @t3640))) % 0.42/1.40 (step @p7043 :rule nary_cong :premises (@p1384 @p7038) :args ((or @t2332 @t3639))) % 0.42/1.40 (step @p7044 :rule trans :premises (@p7043 @p7042)) % 0.42/1.40 (step @p7045 :rule bool-impl-elim :args (@t2331 @t3639)) % 0.42/1.40 (step @p7046 :rule trans :premises (@p7045 @p7044)) % 0.42/1.40 (step @p7047 :rule cong :premises (@p7046) :args ((forall @t880 (=> @t2331 @t3639)))) % 0.42/1.40 (step @p7048 :rule trans :premises (@p7047 @p7041)) % 0.42/1.40 (step @p7049 :rule refl :args ((tptp.in @t3641 @t871))) % 0.42/1.40 (step @p7050 :rule refl :args ((tptp.kpair @t4 @t883))) % 0.42/1.40 (step @p7051 :rule cong :premises (@p774 @p1438) :args (@t3637)) % 0.42/1.40 (step @p7052 :rule trans :premises (@p7051 @p7050)) % 0.42/1.40 (step @p7053 :rule cong :premises (@p7052 @p1357) :args (@t3638)) % 0.42/1.40 (step @p7054 :rule trans :premises (@p7053 @p7049)) % 0.42/1.40 (step @p7055 :rule ho_cong :premises (@p983 @p7052)) % 0.42/1.40 (step @p7056 :rule ho_cong :premises (@p7055 @p1357)) % 0.42/1.40 (step @p7057 :rule cong :premises (@p7056 @p7054) :args ((= (_ (_ tptp.in @t3637) @t871) @t3638))) % 0.42/1.40 (step @p7058 :rule symm :premises (@p7057)) % 0.42/1.40 (step @p7059 :rule refl :args (@t3642)) % 0.42/1.40 (step @p7060 :rule eq_resolve :premises (@p7059 @p7058)) % 0.42/1.40 (step @p7061 :rule refl :args (@t629)) % 0.42/1.40 (step @p7062 :rule ho_cong :premises (@p7061 @p1438)) % 0.42/1.40 (step @p7063 :rule cong :premises (@p7062 @p7052) :args ((= (_ @t629 @t2344) @t3637))) % 0.42/1.40 (step @p7064 :rule symm :premises (@p7063)) % 0.42/1.40 (step @p7065 :rule refl :args (@t3641)) % 0.42/1.40 (step @p7066 :rule eq_resolve :premises (@p7065 @p7064)) % 0.42/1.40 (step @p7067 :rule ho_cong :premises (@p7061 @p1470)) % 0.42/1.40 (step @p7068 :rule trans :premises (@p7067 @p7066)) % 0.42/1.40 (step @p7069 :rule ho_cong :premises (@p983 @p7068)) % 0.42/1.40 (step @p7070 :rule ho_cong :premises (@p7069 @p1357)) % 0.42/1.40 (step @p7071 :rule trans :premises (@p7070 @p7060)) % 0.42/1.40 (step @p7072 :rule nary_cong :premises (@p702 @p7071) :args (@t3643)) % 0.42/1.40 (step @p7073 :rule cong :premises (@p7072) :args ((forall @t9 @t3643))) % 0.42/1.40 (step @p7074 :rule bool-impl-elim :args (@t7 @t3642)) % 0.42/1.40 (step @p7075 :rule cong :premises (@p7074) :args ((forall @t9 (=> @t7 @t3642)))) % 0.42/1.40 (step @p7076 :rule trans :premises (@p7075 @p7073)) % 0.42/1.40 (step @p7077 :rule refl :args (@t629)) % 0.42/1.40 (step @p7078 :rule ho_cong :premises (@p7077 @p1488)) % 0.42/1.40 (step @p7079 :rule ho_cong :premises (@p1108 @p7078)) % 0.42/1.40 (step @p7080 :rule ho_cong :premises (@p7079 @p1393)) % 0.42/1.40 (step @p7081 :rule cong :premises (@p748 @p7080) :args (@t3644)) % 0.42/1.40 (step @p7082 :rule cong :premises (@p7081) :args (@t3645)) % 0.42/1.40 (step @p7083 :rule trans :premises (@p7082 @p7076)) % 0.42/1.40 (step @p7084 :rule cong :premises (@p1395 @p7083) :args (@t3646)) % 0.42/1.40 (step @p7085 :rule cong :premises (@p7084) :args (@t3647)) % 0.42/1.40 (step @p7086 :rule trans :premises (@p7085 @p7048)) % 0.42/1.40 (step @p7087 :rule cong :premises (@p799 @p7086) :args (@t3648)) % 0.42/1.40 (step @p7088 :rule cong :premises (@p1029 @p7087) :args (@t3649)) % 0.42/1.40 (step @p7089 :rule cong :premises (@p1041 @p7088) :args (@t3650)) % 0.42/1.40 (step @p7090 :rule cong :premises (@p1131 @p7089) :args (@t3651)) % 0.42/1.40 (step @p7091 :rule cong :premises (@p1276 @p7090) :args (@t3652)) % 0.42/1.40 (step @p7092 :rule cong :premises (@p1346 @p7091) :args (@t3653)) % 0.42/1.40 (step @p7093 :rule cong :premises (@p1399 @p7092) :args (@t3654)) % 0.42/1.40 (step @p7094 :rule cong :premises (@p1497 @p7093) :args (@t3655)) % 0.42/1.40 (step @p7095 :rule cong :premises (@p1536 @p7094) :args (@t3656)) % 0.42/1.40 (step @p7096 :rule cong :premises (@p1569 @p7095) :args (@t3657)) % 0.42/1.40 (step @p7097 :rule cong :premises (@p1580 @p7096) :args (@t3658)) % 0.42/1.40 (step @p7098 :rule cong :premises (@p1650 @p7097) :args (@t3659)) % 0.42/1.40 (step @p7099 :rule cong :premises (@p1708 @p7098) :args (@t3660)) % 0.42/1.40 (step @p7100 :rule cong :premises (@p1721 @p7099) :args (@t3661)) % 0.42/1.40 (step @p7101 :rule cong :premises (@p1734 @p7100) :args (@t3662)) % 0.42/1.40 (step @p7102 :rule cong :premises (@p1772 @p7101) :args (@t3663)) % 0.42/1.40 (step @p7103 :rule cong :premises (@p1813 @p7102) :args (@t3664)) % 0.42/1.40 (step @p7104 :rule cong :premises (@p1821 @p7103) :args (@t3665)) % 0.42/1.40 (step @p7105 :rule cong :premises (@p1861 @p7104) :args (@t3666)) % 0.42/1.40 (step @p7106 :rule cong :premises (@p1912 @p7105) :args (@t3667)) % 0.42/1.40 (step @p7107 :rule cong :premises (@p1959 @p7106) :args (@t3668)) % 0.42/1.40 (step @p7108 :rule cong :premises (@p2005 @p7107) :args (@t3669)) % 0.42/1.40 (step @p7109 :rule cong :premises (@p2024 @p7108) :args (@t3670)) % 0.42/1.40 (step @p7110 :rule cong :premises (@p2046 @p7109) :args (@t3671)) % 0.42/1.40 (step @p7111 :rule cong :premises (@p2055 @p7110) :args (@t3672)) % 0.42/1.40 (step @p7112 :rule cong :premises (@p2076 @p7111) :args (@t3673)) % 0.42/1.40 (step @p7113 :rule cong :premises (@p2095 @p7112) :args (@t3674)) % 0.42/1.40 (step @p7114 :rule cong :premises (@p2102 @p7113) :args (@t3675)) % 0.42/1.40 (step @p7115 :rule cong :premises (@p2173 @p7114) :args (@t3676)) % 0.42/1.40 (step @p7116 :rule cong :premises (@p2196 @p7115) :args (@t3677)) % 0.42/1.40 (step @p7117 :rule cong :premises (@p2294 @p7116) :args (@t3678)) % 0.42/1.40 (step @p7118 :rule cong :premises (@p2305 @p7117) :args (@t3679)) % 0.42/1.40 (step @p7119 :rule cong :premises (@p2342 @p7118) :args (@t3680)) % 0.42/1.40 (step @p7120 :rule cong :premises (@p2382 @p7119) :args (@t3681)) % 0.42/1.40 (step @p7121 :rule cong :premises (@p2413 @p7120) :args (@t3682)) % 0.42/1.40 (step @p7122 :rule cong :premises (@p2423 @p7121) :args (@t3683)) % 0.42/1.40 (step @p7123 :rule cong :premises (@p2432 @p7122) :args (@t3684)) % 0.42/1.40 (step @p7124 :rule cong :premises (@p2453 @p7123) :args (@t3685)) % 0.42/1.40 (step @p7125 :rule cong :premises (@p2460 @p7124) :args (@t3686)) % 0.42/1.40 (step @p7126 :rule cong :premises (@p2529 @p7125) :args (@t3687)) % 0.42/1.40 (step @p7127 :rule cong :premises (@p2601 @p7126) :args (@t3688)) % 0.42/1.40 (step @p7128 :rule cong :premises (@p2629 @p7127) :args (@t3689)) % 0.42/1.40 (step @p7129 :rule cong :premises (@p2649 @p7128) :args (@t3690)) % 0.42/1.40 (step @p7130 :rule cong :premises (@p2689 @p7129) :args (@t3691)) % 0.42/1.40 (step @p7131 :rule cong :premises (@p2779 @p7130) :args (@t3692)) % 0.42/1.40 (step @p7132 :rule cong :premises (@p2817 @p7131) :args (@t3693)) % 0.42/1.40 (step @p7133 :rule cong :premises (@p2829 @p7132) :args (@t3694)) % 0.42/1.40 (step @p7134 :rule cong :premises (@p2853 @p7133) :args (@t3695)) % 0.42/1.40 (step @p7135 :rule cong :premises (@p2884 @p7134) :args (@t3696)) % 0.42/1.40 (step @p7136 :rule cong :premises (@p2901 @p7135) :args (@t3697)) % 0.42/1.40 (step @p7137 :rule cong :premises (@p2952 @p7136) :args (@t3698)) % 0.42/1.40 (step @p7138 :rule cong :premises (@p2961 @p7137) :args (@t3699)) % 0.42/1.40 (step @p7139 :rule cong :premises (@p3011 @p7138) :args (@t3700)) % 0.42/1.40 (step @p7140 :rule cong :premises (@p3041 @p7139) :args (@t3701)) % 0.42/1.40 (step @p7141 :rule cong :premises (@p3107 @p7140) :args (@t3702)) % 0.42/1.40 (step @p7142 :rule cong :premises (@p3149 @p7141) :args (@t3703)) % 0.42/1.40 (step @p7143 :rule cong :premises (@p3191 @p7142) :args (@t3704)) % 0.42/1.40 (step @p7144 :rule cong :premises (@p3233 @p7143) :args (@t3705)) % 0.42/1.40 (step @p7145 :rule cong :premises (@p3275 @p7144) :args (@t3706)) % 0.42/1.40 (step @p7146 :rule cong :premises (@p3280 @p7145) :args (@t3707)) % 0.42/1.40 (step @p7147 :rule cong :premises (@p3331 @p7146) :args (@t3708)) % 0.42/1.40 (step @p7148 :rule cong :premises (@p3355 @p7147) :args (@t3709)) % 0.42/1.40 (step @p7149 :rule cong :premises (@p3376 @p7148) :args (@t3710)) % 0.42/1.40 (step @p7150 :rule cong :premises (@p3392 @p7149) :args (@t3711)) % 0.42/1.40 (step @p7151 :rule cong :premises (@p3407 @p7150) :args (@t3712)) % 0.42/1.40 (step @p7152 :rule cong :premises (@p3433 @p7151) :args (@t3713)) % 0.42/1.40 (step @p7153 :rule cong :premises (@p3448 @p7152) :args (@t3714)) % 0.42/1.40 (step @p7154 :rule cong :premises (@p3453 @p7153) :args (@t3715)) % 0.42/1.40 (step @p7155 :rule cong :premises (@p3510 @p7154) :args (@t3716)) % 0.42/1.40 (step @p7156 :rule cong :premises (@p3525 @p7155) :args (@t3717)) % 0.42/1.40 (step @p7157 :rule cong :premises (@p3542 @p7156) :args (@t3718)) % 0.42/1.40 (step @p7158 :rule cong :premises (@p3558 @p7157) :args (@t3719)) % 0.42/1.40 (step @p7159 :rule cong :premises (@p3631 @p7158) :args (@t3720)) % 0.42/1.40 (step @p7160 :rule cong :premises (@p3657 @p7159) :args (@t3721)) % 0.42/1.40 (step @p7161 :rule cong :premises (@p3674 @p7160) :args (@t3722)) % 0.42/1.40 (step @p7162 :rule cong :premises (@p3694 @p7161) :args (@t3723)) % 0.42/1.40 (step @p7163 :rule cong :premises (@p3706 @p7162) :args (@t3724)) % 0.42/1.40 (step @p7164 :rule cong :premises (@p3726 @p7163) :args (@t3725)) % 0.42/1.40 (step @p7165 :rule cong :premises (@p3743 @p7164) :args (@t3726)) % 0.42/1.40 (step @p7166 :rule cong :premises (@p3756 @p7165) :args (@t3727)) % 0.42/1.40 (step @p7167 :rule cong :premises (@p3765 @p7166) :args (@t3728)) % 0.42/1.40 (step @p7168 :rule cong :premises (@p3774 @p7167) :args (@t3729)) % 0.42/1.40 (step @p7169 :rule cong :premises (@p3790 @p7168) :args (@t3730)) % 0.42/1.40 (step @p7170 :rule cong :premises (@p3835 @p7169) :args (@t3731)) % 0.42/1.40 (step @p7171 :rule cong :premises (@p3850 @p7170) :args (@t3732)) % 0.42/1.40 (step @p7172 :rule cong :premises (@p3871 @p7171) :args (@t3733)) % 0.42/1.40 (step @p7173 :rule cong :premises (@p3888 @p7172) :args (@t3734)) % 0.42/1.40 (step @p7174 :rule cong :premises (@p3914 @p7173) :args (@t3735)) % 0.42/1.40 (step @p7175 :rule cong :premises (@p3934 @p7174) :args (@t3736)) % 0.42/1.40 (step @p7176 :rule cong :premises (@p3947 @p7175) :args (@t3737)) % 0.42/1.40 (step @p7177 :rule cong :premises (@p3959 @p7176) :args (@t3738)) % 0.42/1.40 (step @p7178 :rule cong :premises (@p3974 @p7177) :args (@t3739)) % 0.42/1.40 (step @p7179 :rule cong :premises (@p3983 @p7178) :args (@t3740)) % 0.42/1.40 (step @p7180 :rule cong :premises (@p4022 @p7179) :args (@t3741)) % 0.42/1.40 (step @p7181 :rule cong :premises (@p4036 @p7180) :args (@t3742)) % 0.42/1.40 (step @p7182 :rule cong :premises (@p4052 @p7181) :args (@t3743)) % 0.42/1.40 (step @p7183 :rule cong :premises (@p4067 @p7182) :args (@t3744)) % 0.42/1.40 (step @p7184 :rule cong :premises (@p4089 @p7183) :args (@t3745)) % 0.42/1.40 (step @p7185 :rule cong :premises (@p4140 @p7184) :args (@t3746)) % 0.42/1.40 (step @p7186 :rule cong :premises (@p4149 @p7185) :args (@t3747)) % 0.42/1.40 (step @p7187 :rule cong :premises (@p4154 @p7186) :args (@t3748)) % 0.42/1.40 (step @p7188 :rule cong :premises (@p4166 @p7187) :args (@t3749)) % 0.42/1.40 (step @p7189 :rule cong :premises (@p4200 @p7188) :args (@t3750)) % 0.42/1.40 (step @p7190 :rule cong :premises (@p4221 @p7189) :args (@t3751)) % 0.42/1.40 (step @p7191 :rule cong :premises (@p4247 @p7190) :args (@t3752)) % 0.42/1.40 (step @p7192 :rule cong :premises (@p4263 @p7191) :args (@t3753)) % 0.42/1.40 (step @p7193 :rule cong :premises (@p4284 @p7192) :args (@t3754)) % 0.42/1.40 (step @p7194 :rule cong :premises (@p4293 @p7193) :args (@t3755)) % 0.42/1.40 (step @p7195 :rule cong :premises (@p4309 @p7194) :args (@t3756)) % 0.42/1.40 (step @p7196 :rule cong :premises (@p4325 @p7195) :args (@t3757)) % 0.42/1.40 (step @p7197 :rule cong :premises (@p4344 @p7196) :args (@t3758)) % 0.42/1.40 (step @p7198 :rule cong :premises (@p4368 @p7197) :args (@t3759)) % 0.42/1.40 (step @p7199 :rule cong :premises (@p4388 @p7198) :args (@t3760)) % 0.42/1.40 (step @p7200 :rule cong :premises (@p4413 @p7199) :args (@t3761)) % 0.42/1.40 (step @p7201 :rule cong :premises (@p4423 @p7200) :args (@t3762)) % 0.42/1.40 (step @p7202 :rule cong :premises (@p4465 @p7201) :args (@t3763)) % 0.42/1.40 (step @p7203 :rule cong :premises (@p4495 @p7202) :args (@t3764)) % 0.42/1.40 (step @p7204 :rule cong :premises (@p4511 @p7203) :args (@t3765)) % 0.42/1.40 (step @p7205 :rule cong :premises (@p4524 @p7204) :args (@t3766)) % 0.42/1.40 (step @p7206 :rule cong :premises (@p4537 @p7205) :args (@t3767)) % 0.42/1.40 (step @p7207 :rule cong :premises (@p4547 @p7206) :args (@t3768)) % 0.42/1.40 (step @p7208 :rule cong :premises (@p4552 @p7207) :args (@t3769)) % 0.42/1.40 (step @p7209 :rule cong :premises (@p4592 @p7208) :args (@t3770)) % 0.42/1.40 (step @p7210 :rule cong :premises (@p4612 @p7209) :args (@t3771)) % 0.42/1.40 (step @p7211 :rule cong :premises (@p4616 @p7210) :args (@t3772)) % 0.42/1.40 (step @p7212 :rule cong :premises (@p4739 @p7211) :args (@t3773)) % 0.42/1.40 (step @p7213 :rule cong :premises (@p4895 @p7212) :args (@t3774)) % 0.42/1.40 (step @p7214 :rule cong :premises (@p4957 @p7213) :args (@t3775)) % 0.42/1.40 (step @p7215 :rule cong :premises (@p4969 @p7214) :args (@t3776)) % 0.42/1.40 (step @p7216 :rule cong :premises (@p5006 @p7215) :args (@t3777)) % 0.42/1.40 (step @p7217 :rule cong :premises (@p5036 @p7216) :args (@t3778)) % 0.42/1.40 (step @p7218 :rule cong :premises (@p5107 @p7217) :args (@t3779)) % 0.42/1.40 (step @p7219 :rule cong :premises (@p5116 @p7218) :args (@t3780)) % 0.42/1.40 (step @p7220 :rule cong :premises (@p5128 @p7219) :args (@t3781)) % 0.42/1.40 (step @p7221 :rule cong :premises (@p5137 @p7220) :args (@t3782)) % 0.42/1.40 (step @p7222 :rule cong :premises (@p5198 @p7221) :args (@t3783)) % 0.42/1.40 (step @p7223 :rule cong :premises (@p5271 @p7222) :args (@t3784)) % 0.42/1.40 (step @p7224 :rule cong :premises (@p5317 @p7223) :args (@t3785)) % 0.42/1.40 (step @p7225 :rule cong :premises (@p5356 @p7224) :args (@t3786)) % 0.42/1.40 (step @p7226 :rule cong :premises (@p5379 @p7225) :args (@t3787)) % 0.42/1.40 (step @p7227 :rule cong :premises (@p5395 @p7226) :args (@t3788)) % 0.42/1.40 (step @p7228 :rule cong :premises (@p5436 @p7227) :args (@t3789)) % 0.42/1.40 (step @p7229 :rule cong :premises (@p5494 @p7228) :args (@t3790)) % 0.42/1.40 (step @p7230 :rule cong :premises (@p5525 @p7229) :args (@t3791)) % 0.42/1.40 (step @p7231 :rule cong :premises (@p5534 @p7230) :args (@t3792)) % 0.42/1.40 (step @p7232 :rule cong :premises (@p5542 @p7231) :args (@t3793)) % 0.42/1.40 (step @p7233 :rule cong :premises (@p5553 @p7232) :args (@t3794)) % 0.42/1.40 (step @p7234 :rule cong :premises (@p5561 @p7233) :args (@t3795)) % 0.42/1.40 (step @p7235 :rule cong :premises (@p5578 @p7234) :args (@t3796)) % 0.42/1.40 (step @p7236 :rule cong :premises (@p5619 @p7235) :args (@t3797)) % 0.42/1.40 (step @p7237 :rule cong :premises (@p5623 @p7236) :args (@t3798)) % 0.42/1.40 (step @p7238 :rule cong :premises (@p5638 @p7237) :args (@t3799)) % 0.42/1.40 (step @p7239 :rule cong :premises (@p5642 @p7238) :args (@t3800)) % 0.42/1.40 (step @p7240 :rule cong :premises (@p5672 @p7239) :args (@t3801)) % 0.42/1.40 (step @p7241 :rule cong :premises (@p5697 @p7240) :args (@t3802)) % 0.42/1.40 (step @p7242 :rule cong :premises (@p5711 @p7241) :args (@t3803)) % 0.42/1.40 (step @p7243 :rule cong :premises (@p5720 @p7242) :args (@t3804)) % 0.42/1.40 (step @p7244 :rule cong :premises (@p5741 @p7243) :args (@t3805)) % 0.42/1.40 (step @p7245 :rule cong :premises (@p5779 @p7244) :args (@t3806)) % 0.42/1.40 (step @p7246 :rule cong :premises (@p5812 @p7245) :args (@t3807)) % 0.42/1.40 (step @p7247 :rule cong :premises (@p5872 @p7246) :args (@t3808)) % 0.42/1.40 (step @p7248 :rule cong :premises (@p5886 @p7247) :args (@t3809)) % 0.42/1.40 (step @p7249 :rule cong :premises (@p5901 @p7248) :args (@t3810)) % 0.42/1.40 (step @p7250 :rule cong :premises (@p5906 @p7249) :args (@t3811)) % 0.42/1.40 (step @p7251 :rule cong :premises (@p5924 @p7250) :args (@t3812)) % 0.42/1.40 (step @p7252 :rule cong :premises (@p5942 @p7251) :args (@t3813)) % 0.42/1.40 (step @p7253 :rule cong :premises (@p5967 @p7252) :args (@t3814)) % 0.42/1.40 (step @p7254 :rule cong :premises (@p5994 @p7253) :args (@t3815)) % 0.42/1.40 (step @p7255 :rule cong :premises (@p6049 @p7254) :args (@t3816)) % 0.42/1.40 (step @p7256 :rule cong :premises (@p6058 @p7255) :args (@t3817)) % 0.42/1.40 (step @p7257 :rule refl :args (tptp.emptyinunitempty)) % 0.42/1.40 (step @p7258 :rule cong :premises (@p7257 @p7256) :args (@t3818)) % 0.42/1.40 (step @p7259 :rule cong :premises (@p6079 @p7258) :args (@t3819)) % 0.42/1.40 (step @p7260 :rule cong :premises (@p6119 @p7259) :args (@t3820)) % 0.42/1.40 (step @p7261 :rule cong :premises (@p6165 @p7260) :args (@t3821)) % 0.42/1.40 (step @p7262 :rule cong :premises (@p6179 @p7261) :args (@t3822)) % 0.42/1.40 (step @p7263 :rule cong :premises (@p6212 @p7262) :args (@t3823)) % 0.42/1.40 (step @p7264 :rule cong :premises (@p6217 @p7263) :args (@t3824)) % 0.42/1.40 (step @p7265 :rule cong :premises (@p6230 @p7264) :args (@t3825)) % 0.42/1.40 (step @p7266 :rule cong :premises (@p6245 @p7265) :args (@t3826)) % 0.42/1.40 (step @p7267 :rule cong :premises (@p6277 @p7266) :args (@t3827)) % 0.42/1.40 (step @p7268 :rule cong :premises (@p6286 @p7267) :args (@t3828)) % 0.42/1.40 (step @p7269 :rule cong :premises (@p6297 @p7268) :args (@t3829)) % 0.42/1.40 (step @p7270 :rule cong :premises (@p6312 @p7269) :args (@t3830)) % 0.42/1.40 (step @p7271 :rule cong :premises (@p6348 @p7270) :args (@t3831)) % 0.42/1.40 (step @p7272 :rule cong :premises (@p6357 @p7271) :args (@t3832)) % 0.42/1.40 (step @p7273 :rule cong :premises (@p6376 @p7272) :args (@t3833)) % 0.42/1.40 (step @p7274 :rule cong :premises (@p6388 @p7273) :args (@t3834)) % 0.42/1.40 (step @p7275 :rule cong :premises (@p6405 @p7274) :args (@t3835)) % 0.42/1.40 (step @p7276 :rule cong :premises (@p6455 @p7275) :args (@t3836)) % 0.42/1.40 (step @p7277 :rule cong :premises (@p6726 @p7276) :args (@t3837)) % 0.42/1.40 (step @p7278 :rule cong :premises (@p6771 @p7277) :args (@t3838)) % 0.42/1.40 (step @p7279 :rule cong :premises (@p6858 @p7278) :args (@t3839)) % 0.42/1.40 (step @p7280 :rule cong :premises (@p6944 @p7279) :args (@t3840)) % 0.42/1.40 (step @p7281 :rule cong :premises (@p6964 @p7280) :args (@t3841)) % 0.42/1.40 (step @p7282 :rule refl :args (tptp.omega0Ax)) % 0.42/1.40 (step @p7283 :rule cong :premises (@p7282 @p7281) :args (@t3842)) % 0.42/1.40 (step @p7284 :rule cong :premises (@p6983 @p7283) :args (@t3843)) % 0.42/1.40 (step @p7285 :rule cong :premises (@p6996 @p7284) :args (@t3844)) % 0.42/1.40 (step @p7286 :rule cong :premises (@p7006 @p7285) :args (@t3845)) % 0.42/1.40 (step @p7287 :rule cong :premises (@p7010 @p7286) :args (@t3846)) % 0.42/1.40 (step @p7288 :rule cong :premises (@p7021 @p7287) :args (@t3847)) % 0.42/1.40 (step @p7289 :rule cong :premises (@p7288) :args ((not @t3847))) % 0.42/1.40 (step @p7290 :rule ho_cong :premises (@p7077 @p1502)) % 0.42/1.40 (step @p7291 :rule ho_cong :premises (@p1108 @p7290)) % 0.42/1.40 (step @p7292 :rule ho_cong :premises (@p7291 @p1393)) % 0.42/1.40 (step @p7293 :rule cong :premises (@p748 @p7292) :args (@t945)) % 0.42/1.40 (step @p7294 :rule cong :premises (@p7293) :args (@t946)) % 0.42/1.40 (step @p7295 :rule cong :premises (@p1401 @p7294) :args (@t947)) % 0.42/1.40 (step @p7296 :rule cong :premises (@p7295) :args (@t948)) % 0.42/1.40 (step @p7297 :rule cong :premises (@p799 @p7296) :args (@t949)) % 0.42/1.40 (step @p7298 :rule cong :premises (@p1029 @p7297) :args (@t950)) % 0.42/1.40 (step @p7299 :rule cong :premises (@p1041 @p7298) :args (@t951)) % 0.42/1.40 (step @p7300 :rule cong :premises (@p1131 @p7299) :args (@t952)) % 0.42/1.40 (step @p7301 :rule cong :premises (@p1276 @p7300) :args (@t953)) % 0.42/1.40 (step @p7302 :rule cong :premises (@p1346 @p7301) :args (@t954)) % 0.42/1.40 (step @p7303 :rule cong :premises (@p1399 @p7302) :args (@t955)) % 0.42/1.40 (step @p7304 :rule cong :premises (@p1497 @p7303) :args (@t956)) % 0.42/1.40 (step @p7305 :rule cong :premises (@p1536 @p7304) :args (@t957)) % 0.42/1.40 (step @p7306 :rule cong :premises (@p1569 @p7305) :args (@t958)) % 0.42/1.40 (step @p7307 :rule cong :premises (@p1580 @p7306) :args (@t959)) % 0.42/1.40 (step @p7308 :rule cong :premises (@p1650 @p7307) :args (@t960)) % 0.42/1.40 (step @p7309 :rule cong :premises (@p1708 @p7308) :args (@t961)) % 0.42/1.40 (step @p7310 :rule cong :premises (@p1721 @p7309) :args (@t962)) % 0.42/1.40 (step @p7311 :rule cong :premises (@p1734 @p7310) :args (@t963)) % 0.42/1.40 (step @p7312 :rule cong :premises (@p1772 @p7311) :args (@t964)) % 0.42/1.40 (step @p7313 :rule cong :premises (@p1813 @p7312) :args (@t965)) % 0.42/1.40 (step @p7314 :rule cong :premises (@p1821 @p7313) :args (@t966)) % 0.42/1.40 (step @p7315 :rule cong :premises (@p1861 @p7314) :args (@t967)) % 0.42/1.40 (step @p7316 :rule cong :premises (@p1912 @p7315) :args (@t968)) % 0.42/1.40 (step @p7317 :rule cong :premises (@p1959 @p7316) :args (@t969)) % 0.42/1.40 (step @p7318 :rule cong :premises (@p2005 @p7317) :args (@t970)) % 0.42/1.40 (step @p7319 :rule cong :premises (@p2024 @p7318) :args (@t971)) % 0.42/1.40 (step @p7320 :rule cong :premises (@p2046 @p7319) :args (@t972)) % 0.42/1.40 (step @p7321 :rule cong :premises (@p2055 @p7320) :args (@t973)) % 0.42/1.40 (step @p7322 :rule cong :premises (@p2076 @p7321) :args (@t974)) % 0.42/1.40 (step @p7323 :rule cong :premises (@p2095 @p7322) :args (@t975)) % 0.42/1.40 (step @p7324 :rule cong :premises (@p2102 @p7323) :args (@t976)) % 0.42/1.40 (step @p7325 :rule cong :premises (@p2173 @p7324) :args (@t977)) % 0.42/1.40 (step @p7326 :rule cong :premises (@p2196 @p7325) :args (@t978)) % 0.42/1.40 (step @p7327 :rule cong :premises (@p2294 @p7326) :args (@t979)) % 0.42/1.40 (step @p7328 :rule cong :premises (@p2305 @p7327) :args (@t980)) % 0.42/1.40 (step @p7329 :rule cong :premises (@p2342 @p7328) :args (@t981)) % 0.42/1.40 (step @p7330 :rule cong :premises (@p2382 @p7329) :args (@t982)) % 0.42/1.40 (step @p7331 :rule cong :premises (@p2413 @p7330) :args (@t983)) % 0.42/1.40 (step @p7332 :rule cong :premises (@p2423 @p7331) :args (@t984)) % 0.42/1.40 (step @p7333 :rule cong :premises (@p2432 @p7332) :args (@t985)) % 0.42/1.40 (step @p7334 :rule cong :premises (@p2453 @p7333) :args (@t986)) % 0.42/1.40 (step @p7335 :rule cong :premises (@p2460 @p7334) :args (@t987)) % 0.42/1.40 (step @p7336 :rule cong :premises (@p2529 @p7335) :args (@t988)) % 0.42/1.40 (step @p7337 :rule cong :premises (@p2601 @p7336) :args (@t989)) % 0.42/1.40 (step @p7338 :rule cong :premises (@p2629 @p7337) :args (@t990)) % 0.42/1.40 (step @p7339 :rule cong :premises (@p2649 @p7338) :args (@t991)) % 0.42/1.40 (step @p7340 :rule cong :premises (@p2689 @p7339) :args (@t992)) % 0.42/1.40 (step @p7341 :rule cong :premises (@p2779 @p7340) :args (@t993)) % 0.42/1.40 (step @p7342 :rule cong :premises (@p2817 @p7341) :args (@t994)) % 0.42/1.40 (step @p7343 :rule cong :premises (@p2829 @p7342) :args (@t995)) % 0.42/1.40 (step @p7344 :rule cong :premises (@p2853 @p7343) :args (@t996)) % 0.42/1.40 (step @p7345 :rule cong :premises (@p2884 @p7344) :args (@t997)) % 0.42/1.40 (step @p7346 :rule cong :premises (@p2901 @p7345) :args (@t998)) % 0.42/1.40 (step @p7347 :rule cong :premises (@p2952 @p7346) :args (@t999)) % 0.42/1.40 (step @p7348 :rule cong :premises (@p2961 @p7347) :args (@t1000)) % 0.42/1.40 (step @p7349 :rule cong :premises (@p3011 @p7348) :args (@t1001)) % 0.42/1.40 (step @p7350 :rule cong :premises (@p3041 @p7349) :args (@t1002)) % 0.42/1.40 (step @p7351 :rule cong :premises (@p3107 @p7350) :args (@t1003)) % 0.42/1.40 (step @p7352 :rule cong :premises (@p3149 @p7351) :args (@t1004)) % 0.42/1.40 (step @p7353 :rule cong :premises (@p3191 @p7352) :args (@t1005)) % 0.42/1.40 (step @p7354 :rule cong :premises (@p3233 @p7353) :args (@t1006)) % 0.42/1.40 (step @p7355 :rule cong :premises (@p3275 @p7354) :args (@t1007)) % 0.42/1.40 (step @p7356 :rule cong :premises (@p3280 @p7355) :args (@t1008)) % 0.42/1.40 (step @p7357 :rule cong :premises (@p3331 @p7356) :args (@t1009)) % 0.42/1.40 (step @p7358 :rule cong :premises (@p3355 @p7357) :args (@t1010)) % 0.42/1.40 (step @p7359 :rule cong :premises (@p3376 @p7358) :args (@t1011)) % 0.42/1.40 (step @p7360 :rule cong :premises (@p3392 @p7359) :args (@t1012)) % 0.42/1.40 (step @p7361 :rule cong :premises (@p3407 @p7360) :args (@t1013)) % 0.42/1.40 (step @p7362 :rule cong :premises (@p3433 @p7361) :args (@t1014)) % 0.42/1.40 (step @p7363 :rule cong :premises (@p3448 @p7362) :args (@t1015)) % 0.42/1.40 (step @p7364 :rule cong :premises (@p3453 @p7363) :args (@t1016)) % 0.42/1.40 (step @p7365 :rule cong :premises (@p3510 @p7364) :args (@t1017)) % 0.42/1.40 (step @p7366 :rule cong :premises (@p3525 @p7365) :args (@t1018)) % 0.42/1.40 (step @p7367 :rule cong :premises (@p3542 @p7366) :args (@t1019)) % 0.42/1.40 (step @p7368 :rule cong :premises (@p3558 @p7367) :args (@t1020)) % 0.42/1.40 (step @p7369 :rule cong :premises (@p3631 @p7368) :args (@t1021)) % 0.42/1.40 (step @p7370 :rule cong :premises (@p3657 @p7369) :args (@t1022)) % 0.42/1.40 (step @p7371 :rule cong :premises (@p3674 @p7370) :args (@t1023)) % 0.42/1.40 (step @p7372 :rule cong :premises (@p3694 @p7371) :args (@t1024)) % 0.42/1.40 (step @p7373 :rule cong :premises (@p3706 @p7372) :args (@t1025)) % 0.42/1.40 (step @p7374 :rule cong :premises (@p3726 @p7373) :args (@t1026)) % 0.42/1.40 (step @p7375 :rule cong :premises (@p3743 @p7374) :args (@t1027)) % 0.42/1.40 (step @p7376 :rule cong :premises (@p3756 @p7375) :args (@t1028)) % 0.42/1.40 (step @p7377 :rule cong :premises (@p3765 @p7376) :args (@t1029)) % 0.42/1.40 (step @p7378 :rule cong :premises (@p3774 @p7377) :args (@t1030)) % 0.42/1.40 (step @p7379 :rule cong :premises (@p3790 @p7378) :args (@t1031)) % 0.42/1.40 (step @p7380 :rule cong :premises (@p3835 @p7379) :args (@t1032)) % 0.42/1.40 (step @p7381 :rule cong :premises (@p3850 @p7380) :args (@t1033)) % 0.42/1.40 (step @p7382 :rule cong :premises (@p3871 @p7381) :args (@t1034)) % 0.42/1.40 (step @p7383 :rule cong :premises (@p3888 @p7382) :args (@t1035)) % 0.42/1.40 (step @p7384 :rule cong :premises (@p3914 @p7383) :args (@t1036)) % 0.42/1.40 (step @p7385 :rule cong :premises (@p3934 @p7384) :args (@t1037)) % 0.42/1.40 (step @p7386 :rule cong :premises (@p3947 @p7385) :args (@t1038)) % 0.42/1.40 (step @p7387 :rule cong :premises (@p3959 @p7386) :args (@t1039)) % 0.42/1.40 (step @p7388 :rule cong :premises (@p3974 @p7387) :args (@t1040)) % 0.42/1.40 (step @p7389 :rule cong :premises (@p3983 @p7388) :args (@t1041)) % 0.42/1.40 (step @p7390 :rule cong :premises (@p4022 @p7389) :args (@t1042)) % 0.42/1.40 (step @p7391 :rule cong :premises (@p4036 @p7390) :args (@t1043)) % 0.42/1.40 (step @p7392 :rule cong :premises (@p4052 @p7391) :args (@t1044)) % 0.42/1.40 (step @p7393 :rule cong :premises (@p4067 @p7392) :args (@t1045)) % 0.42/1.40 (step @p7394 :rule cong :premises (@p4089 @p7393) :args (@t1046)) % 0.42/1.40 (step @p7395 :rule cong :premises (@p4140 @p7394) :args (@t1047)) % 0.42/1.40 (step @p7396 :rule cong :premises (@p4149 @p7395) :args (@t1048)) % 0.42/1.40 (step @p7397 :rule cong :premises (@p4154 @p7396) :args (@t1049)) % 0.42/1.40 (step @p7398 :rule cong :premises (@p4166 @p7397) :args (@t1050)) % 0.42/1.40 (step @p7399 :rule cong :premises (@p4200 @p7398) :args (@t1051)) % 0.42/1.40 (step @p7400 :rule cong :premises (@p4221 @p7399) :args (@t1052)) % 0.42/1.40 (step @p7401 :rule cong :premises (@p4247 @p7400) :args (@t1053)) % 0.42/1.40 (step @p7402 :rule cong :premises (@p4263 @p7401) :args (@t1054)) % 0.42/1.40 (step @p7403 :rule cong :premises (@p4284 @p7402) :args (@t1055)) % 0.42/1.40 (step @p7404 :rule cong :premises (@p4293 @p7403) :args (@t1056)) % 0.42/1.40 (step @p7405 :rule cong :premises (@p4309 @p7404) :args (@t1057)) % 0.42/1.40 (step @p7406 :rule cong :premises (@p4325 @p7405) :args (@t1058)) % 0.42/1.40 (step @p7407 :rule cong :premises (@p4344 @p7406) :args (@t1059)) % 0.42/1.40 (step @p7408 :rule cong :premises (@p4368 @p7407) :args (@t1060)) % 0.42/1.40 (step @p7409 :rule cong :premises (@p4388 @p7408) :args (@t1061)) % 0.42/1.40 (step @p7410 :rule cong :premises (@p4413 @p7409) :args (@t1062)) % 0.42/1.40 (step @p7411 :rule cong :premises (@p4423 @p7410) :args (@t1063)) % 0.42/1.40 (step @p7412 :rule cong :premises (@p4465 @p7411) :args (@t1064)) % 0.42/1.40 (step @p7413 :rule cong :premises (@p4495 @p7412) :args (@t1065)) % 0.42/1.40 (step @p7414 :rule cong :premises (@p4511 @p7413) :args (@t1066)) % 0.42/1.40 (step @p7415 :rule cong :premises (@p4524 @p7414) :args (@t1067)) % 0.42/1.40 (step @p7416 :rule cong :premises (@p4537 @p7415) :args (@t1068)) % 0.42/1.40 (step @p7417 :rule cong :premises (@p4547 @p7416) :args (@t1069)) % 0.42/1.40 (step @p7418 :rule cong :premises (@p4552 @p7417) :args (@t1070)) % 0.42/1.40 (step @p7419 :rule cong :premises (@p4592 @p7418) :args (@t1071)) % 0.42/1.40 (step @p7420 :rule cong :premises (@p4612 @p7419) :args (@t1072)) % 0.42/1.40 (step @p7421 :rule cong :premises (@p4616 @p7420) :args (@t1073)) % 0.42/1.40 (step @p7422 :rule cong :premises (@p4739 @p7421) :args (@t1074)) % 0.42/1.40 (step @p7423 :rule cong :premises (@p4895 @p7422) :args (@t1075)) % 0.42/1.40 (step @p7424 :rule cong :premises (@p4957 @p7423) :args (@t1076)) % 0.42/1.40 (step @p7425 :rule cong :premises (@p4969 @p7424) :args (@t1077)) % 0.42/1.40 (step @p7426 :rule cong :premises (@p5006 @p7425) :args (@t1078)) % 0.42/1.40 (step @p7427 :rule cong :premises (@p5036 @p7426) :args (@t1079)) % 0.42/1.40 (step @p7428 :rule cong :premises (@p5107 @p7427) :args (@t1080)) % 0.42/1.40 (step @p7429 :rule cong :premises (@p5116 @p7428) :args (@t1081)) % 0.42/1.40 (step @p7430 :rule cong :premises (@p5128 @p7429) :args (@t1082)) % 0.42/1.40 (step @p7431 :rule cong :premises (@p5137 @p7430) :args (@t1083)) % 0.42/1.40 (step @p7432 :rule cong :premises (@p5198 @p7431) :args (@t1084)) % 0.42/1.40 (step @p7433 :rule cong :premises (@p5271 @p7432) :args (@t1085)) % 0.42/1.40 (step @p7434 :rule cong :premises (@p5317 @p7433) :args (@t1086)) % 0.42/1.40 (step @p7435 :rule cong :premises (@p5356 @p7434) :args (@t1087)) % 0.42/1.40 (step @p7436 :rule cong :premises (@p5379 @p7435) :args (@t1088)) % 0.42/1.40 (step @p7437 :rule cong :premises (@p5395 @p7436) :args (@t1089)) % 0.42/1.40 (step @p7438 :rule cong :premises (@p5436 @p7437) :args (@t1090)) % 0.42/1.40 (step @p7439 :rule cong :premises (@p5494 @p7438) :args (@t1091)) % 0.42/1.40 (step @p7440 :rule cong :premises (@p5525 @p7439) :args (@t1092)) % 0.42/1.40 (step @p7441 :rule cong :premises (@p5534 @p7440) :args (@t1093)) % 0.42/1.40 (step @p7442 :rule cong :premises (@p5542 @p7441) :args (@t1094)) % 0.42/1.40 (step @p7443 :rule cong :premises (@p5553 @p7442) :args (@t1095)) % 0.42/1.40 (step @p7444 :rule cong :premises (@p5561 @p7443) :args (@t1096)) % 0.42/1.40 (step @p7445 :rule cong :premises (@p5578 @p7444) :args (@t1097)) % 0.42/1.40 (step @p7446 :rule cong :premises (@p5619 @p7445) :args (@t1098)) % 0.42/1.40 (step @p7447 :rule cong :premises (@p5623 @p7446) :args (@t1099)) % 0.42/1.40 (step @p7448 :rule cong :premises (@p5638 @p7447) :args (@t1100)) % 0.42/1.40 (step @p7449 :rule cong :premises (@p5642 @p7448) :args (@t1101)) % 0.42/1.40 (step @p7450 :rule cong :premises (@p5672 @p7449) :args (@t1102)) % 0.42/1.40 (step @p7451 :rule cong :premises (@p5697 @p7450) :args (@t1103)) % 0.42/1.40 (step @p7452 :rule cong :premises (@p5711 @p7451) :args (@t1104)) % 0.42/1.40 (step @p7453 :rule cong :premises (@p5720 @p7452) :args (@t1105)) % 0.42/1.40 (step @p7454 :rule cong :premises (@p5741 @p7453) :args (@t1106)) % 0.42/1.40 (step @p7455 :rule cong :premises (@p5779 @p7454) :args (@t1107)) % 0.42/1.40 (step @p7456 :rule cong :premises (@p5812 @p7455) :args (@t1108)) % 0.42/1.40 (step @p7457 :rule cong :premises (@p5872 @p7456) :args (@t1109)) % 0.42/1.40 (step @p7458 :rule cong :premises (@p5886 @p7457) :args (@t1110)) % 0.42/1.40 (step @p7459 :rule cong :premises (@p5901 @p7458) :args (@t1111)) % 0.42/1.40 (step @p7460 :rule cong :premises (@p5906 @p7459) :args (@t1112)) % 0.42/1.40 (step @p7461 :rule cong :premises (@p5924 @p7460) :args (@t1113)) % 0.42/1.40 (step @p7462 :rule cong :premises (@p5942 @p7461) :args (@t1114)) % 0.42/1.40 (step @p7463 :rule cong :premises (@p5967 @p7462) :args (@t1115)) % 0.42/1.40 (step @p7464 :rule cong :premises (@p5994 @p7463) :args (@t1116)) % 0.42/1.40 (step @p7465 :rule cong :premises (@p6049 @p7464) :args (@t1117)) % 0.42/1.40 (step @p7466 :rule cong :premises (@p6058 @p7465) :args (@t1118)) % 0.42/1.40 (step @p7467 :rule cong :premises (@p7257 @p7466) :args (@t1119)) % 0.42/1.40 (step @p7468 :rule cong :premises (@p6079 @p7467) :args (@t1120)) % 0.42/1.40 (step @p7469 :rule cong :premises (@p6119 @p7468) :args (@t1121)) % 0.42/1.40 (step @p7470 :rule cong :premises (@p6165 @p7469) :args (@t1122)) % 0.42/1.40 (step @p7471 :rule cong :premises (@p6179 @p7470) :args (@t1123)) % 0.42/1.40 (step @p7472 :rule cong :premises (@p6212 @p7471) :args (@t1124)) % 0.42/1.40 (step @p7473 :rule cong :premises (@p6217 @p7472) :args (@t1125)) % 0.42/1.40 (step @p7474 :rule cong :premises (@p6230 @p7473) :args (@t1126)) % 0.42/1.40 (step @p7475 :rule cong :premises (@p6245 @p7474) :args (@t1127)) % 0.42/1.40 (step @p7476 :rule cong :premises (@p6277 @p7475) :args (@t1128)) % 0.42/1.40 (step @p7477 :rule cong :premises (@p6286 @p7476) :args (@t1129)) % 0.42/1.40 (step @p7478 :rule cong :premises (@p6297 @p7477) :args (@t1130)) % 0.42/1.40 (step @p7479 :rule cong :premises (@p6312 @p7478) :args (@t1131)) % 0.42/1.40 (step @p7480 :rule cong :premises (@p6348 @p7479) :args (@t1132)) % 0.42/1.40 (step @p7481 :rule cong :premises (@p6357 @p7480) :args (@t1133)) % 0.42/1.40 (step @p7482 :rule cong :premises (@p6376 @p7481) :args (@t1134)) % 0.42/1.40 (step @p7483 :rule cong :premises (@p6388 @p7482) :args (@t1135)) % 0.42/1.40 (step @p7484 :rule cong :premises (@p6405 @p7483) :args (@t1136)) % 0.42/1.40 (step @p7485 :rule cong :premises (@p6455 @p7484) :args (@t1137)) % 0.42/1.40 (step @p7486 :rule cong :premises (@p6726 @p7485) :args (@t1138)) % 0.42/1.40 (step @p7487 :rule cong :premises (@p6771 @p7486) :args (@t1139)) % 0.42/1.40 (step @p7488 :rule cong :premises (@p6858 @p7487) :args (@t1140)) % 0.42/1.40 (step @p7489 :rule cong :premises (@p6944 @p7488) :args (@t1141)) % 0.42/1.40 (step @p7490 :rule cong :premises (@p6964 @p7489) :args (@t1142)) % 0.42/1.40 (step @p7491 :rule cong :premises (@p7282 @p7490) :args (@t1143)) % 0.42/1.40 (step @p7492 :rule cong :premises (@p6983 @p7491) :args (@t1144)) % 0.42/1.40 (step @p7493 :rule cong :premises (@p6996 @p7492) :args (@t1145)) % 0.42/1.40 (step @p7494 :rule cong :premises (@p7006 @p7493) :args (@t1146)) % 0.42/1.40 (step @p7495 :rule cong :premises (@p7010 @p7494) :args (@t1147)) % 0.42/1.40 (step @p7496 :rule cong :premises (@p7021 @p7495) :args (@t1148)) % 0.42/1.40 (step @p7497 :rule cong :premises (@p7496) :args (@t1149)) % 0.42/1.40 (step @p7498 :rule trans :premises (@p7497 @p7289)) % 0.42/1.40 (step @p7499 :rule trans :premises (@p7498 @p7026 @p337)) % 0.42/1.40 (step @p7500 :rule eq_resolve :premises (@p201 @p7499)) % 0.42/1.40 (step @p7501 :rule not_implies_elim2 :premises (@p7500)) % 0.42/1.40 (step @p7502 :rule not_implies_elim2 :premises (@p7501)) % 0.42/1.40 (step @p7503 :rule not_implies_elim2 :premises (@p7502)) % 0.42/1.40 (step @p7504 :rule not_implies_elim2 :premises (@p7503)) % 0.42/1.40 (step @p7505 :rule not_implies_elim2 :premises (@p7504)) % 0.42/1.41 (step @p7506 :rule not_implies_elim2 :premises (@p7505)) % 0.42/1.41 (step @p7507 :rule not_implies_elim2 :premises (@p7506)) % 0.42/1.41 (step @p7508 :rule not_implies_elim2 :premises (@p7507)) % 0.42/1.41 (step @p7509 :rule not_implies_elim2 :premises (@p7508)) % 0.42/1.41 (step @p7510 :rule not_implies_elim2 :premises (@p7509)) % 0.42/1.41 (step @p7511 :rule not_implies_elim2 :premises (@p7510)) % 0.42/1.41 (step @p7512 :rule not_implies_elim2 :premises (@p7511)) % 0.42/1.41 (step @p7513 :rule not_implies_elim2 :premises (@p7512)) % 0.42/1.41 (step @p7514 :rule not_implies_elim2 :premises (@p7513)) % 0.42/1.41 (step @p7515 :rule not_implies_elim1 :premises (@p7514)) % 0.42/1.41 (step @p7516 :rule instantiate :premises (@p7515) :args ((@list @t3852 @t3856 @t3855))) % 0.42/1.41 (step @p7517 :rule not_implies_elim2 :premises (@p7514)) % 0.42/1.41 (step @p7518 :rule not_implies_elim2 :premises (@p7517)) % 0.42/1.41 (step @p7519 :rule not_implies_elim2 :premises (@p7518)) % 0.42/1.41 (step @p7520 :rule not_implies_elim2 :premises (@p7519)) % 0.42/1.41 (step @p7521 :rule not_implies_elim2 :premises (@p7520)) % 0.42/1.41 (step @p7522 :rule not_implies_elim2 :premises (@p7521)) % 0.42/1.41 (step @p7523 :rule not_implies_elim2 :premises (@p7522)) % 0.42/1.41 (step @p7524 :rule not_implies_elim2 :premises (@p7523)) % 0.42/1.41 (step @p7525 :rule not_implies_elim2 :premises (@p7524)) % 0.42/1.41 (step @p7526 :rule not_implies_elim2 :premises (@p7525)) % 0.42/1.41 (step @p7527 :rule not_implies_elim2 :premises (@p7526)) % 0.42/1.41 (step @p7528 :rule not_implies_elim2 :premises (@p7527)) % 0.42/1.41 (step @p7529 :rule not_implies_elim2 :premises (@p7528)) % 0.42/1.41 (step @p7530 :rule not_implies_elim2 :premises (@p7529)) % 0.42/1.41 (step @p7531 :rule not_implies_elim2 :premises (@p7530)) % 0.42/1.41 (step @p7532 :rule not_implies_elim2 :premises (@p7531)) % 0.42/1.41 (step @p7533 :rule not_implies_elim2 :premises (@p7532)) % 0.42/1.41 (step @p7534 :rule not_implies_elim2 :premises (@p7533)) % 0.42/1.41 (step @p7535 :rule not_implies_elim2 :premises (@p7534)) % 0.42/1.41 (step @p7536 :rule not_implies_elim2 :premises (@p7535)) % 0.42/1.41 (step @p7537 :rule not_implies_elim2 :premises (@p7536)) % 0.42/1.41 (step @p7538 :rule not_implies_elim2 :premises (@p7537)) % 0.42/1.41 (step @p7539 :rule not_implies_elim2 :premises (@p7538)) % 0.42/1.41 (step @p7540 :rule not_implies_elim2 :premises (@p7539)) % 0.42/1.41 (step @p7541 :rule not_implies_elim2 :premises (@p7540)) % 0.42/1.41 (step @p7542 :rule not_implies_elim2 :premises (@p7541)) % 0.42/1.41 (step @p7543 :rule not_implies_elim2 :premises (@p7542)) % 0.42/1.41 (step @p7544 :rule not_implies_elim2 :premises (@p7543)) % 0.42/1.41 (step @p7545 :rule not_implies_elim2 :premises (@p7544)) % 0.42/1.41 (step @p7546 :rule not_implies_elim2 :premises (@p7545)) % 0.42/1.41 (step @p7547 :rule not_implies_elim2 :premises (@p7546)) % 0.42/1.41 (step @p7548 :rule not_implies_elim2 :premises (@p7547)) % 0.42/1.41 (step @p7549 :rule not_implies_elim2 :premises (@p7548)) % 0.42/1.41 (step @p7550 :rule not_implies_elim2 :premises (@p7549)) % 0.42/1.41 (step @p7551 :rule not_implies_elim2 :premises (@p7550)) % 0.42/1.41 (step @p7552 :rule not_implies_elim2 :premises (@p7551)) % 0.42/1.41 (step @p7553 :rule not_implies_elim2 :premises (@p7552)) % 0.42/1.41 (step @p7554 :rule not_implies_elim2 :premises (@p7553)) % 0.42/1.41 (step @p7555 :rule not_implies_elim2 :premises (@p7554)) % 0.42/1.41 (step @p7556 :rule not_implies_elim2 :premises (@p7555)) % 0.42/1.41 (step @p7557 :rule not_implies_elim2 :premises (@p7556)) % 0.42/1.41 (step @p7558 :rule not_implies_elim2 :premises (@p7557)) % 0.42/1.41 (step @p7559 :rule not_implies_elim2 :premises (@p7558)) % 0.42/1.41 (step @p7560 :rule not_implies_elim2 :premises (@p7559)) % 0.42/1.41 (step @p7561 :rule not_implies_elim2 :premises (@p7560)) % 0.42/1.41 (step @p7562 :rule not_implies_elim2 :premises (@p7561)) % 0.42/1.41 (step @p7563 :rule not_implies_elim2 :premises (@p7562)) % 0.42/1.41 (step @p7564 :rule not_implies_elim2 :premises (@p7563)) % 0.42/1.41 (step @p7565 :rule not_implies_elim2 :premises (@p7564)) % 0.42/1.41 (step @p7566 :rule not_implies_elim2 :premises (@p7565)) % 0.42/1.41 (step @p7567 :rule not_implies_elim2 :premises (@p7566)) % 0.42/1.41 (step @p7568 :rule not_implies_elim2 :premises (@p7567)) % 0.42/1.41 (step @p7569 :rule not_implies_elim2 :premises (@p7568)) % 0.42/1.41 (step @p7570 :rule not_implies_elim2 :premises (@p7569)) % 0.42/1.41 (step @p7571 :rule not_implies_elim2 :premises (@p7570)) % 0.42/1.41 (step @p7572 :rule not_implies_elim2 :premises (@p7571)) % 0.42/1.41 (step @p7573 :rule not_implies_elim2 :premises (@p7572)) % 0.42/1.41 (step @p7574 :rule not_implies_elim2 :premises (@p7573)) % 0.42/1.41 (step @p7575 :rule not_implies_elim2 :premises (@p7574)) % 0.42/1.41 (step @p7576 :rule not_implies_elim2 :premises (@p7575)) % 0.42/1.41 (step @p7577 :rule not_implies_elim2 :premises (@p7576)) % 0.42/1.41 (step @p7578 :rule not_implies_elim2 :premises (@p7577)) % 0.42/1.41 (step @p7579 :rule not_implies_elim2 :premises (@p7578)) % 0.42/1.41 (step @p7580 :rule not_implies_elim2 :premises (@p7579)) % 0.42/1.41 (step @p7581 :rule not_implies_elim2 :premises (@p7580)) % 0.42/1.41 (step @p7582 :rule not_implies_elim2 :premises (@p7581)) % 0.42/1.41 (step @p7583 :rule not_implies_elim2 :premises (@p7582)) % 0.42/1.41 (step @p7584 :rule not_implies_elim2 :premises (@p7583)) % 0.42/1.41 (step @p7585 :rule not_implies_elim2 :premises (@p7584)) % 0.42/1.41 (step @p7586 :rule not_implies_elim2 :premises (@p7585)) % 0.42/1.41 (step @p7587 :rule not_implies_elim2 :premises (@p7586)) % 0.42/1.41 (step @p7588 :rule not_implies_elim2 :premises (@p7587)) % 0.42/1.41 (step @p7589 :rule not_implies_elim2 :premises (@p7588)) % 0.42/1.41 (step @p7590 :rule not_implies_elim2 :premises (@p7589)) % 0.42/1.41 (step @p7591 :rule not_implies_elim2 :premises (@p7590)) % 0.42/1.41 (step @p7592 :rule not_implies_elim2 :premises (@p7591)) % 0.42/1.41 (step @p7593 :rule not_implies_elim2 :premises (@p7592)) % 0.42/1.41 (step @p7594 :rule not_implies_elim2 :premises (@p7593)) % 0.42/1.41 (step @p7595 :rule not_implies_elim2 :premises (@p7594)) % 0.42/1.41 (step @p7596 :rule not_implies_elim2 :premises (@p7595)) % 0.42/1.41 (step @p7597 :rule not_implies_elim2 :premises (@p7596)) % 0.42/1.41 (step @p7598 :rule not_implies_elim2 :premises (@p7597)) % 0.42/1.41 (step @p7599 :rule not_implies_elim2 :premises (@p7598)) % 0.42/1.41 (step @p7600 :rule not_implies_elim2 :premises (@p7599)) % 0.42/1.41 (step @p7601 :rule not_implies_elim2 :premises (@p7600)) % 0.42/1.41 (step @p7602 :rule not_implies_elim2 :premises (@p7601)) % 0.42/1.41 (step @p7603 :rule not_implies_elim2 :premises (@p7602)) % 0.42/1.41 (step @p7604 :rule not_implies_elim2 :premises (@p7603)) % 0.42/1.41 (step @p7605 :rule not_implies_elim2 :premises (@p7604)) % 0.42/1.41 (step @p7606 :rule not_implies_elim2 :premises (@p7605)) % 0.42/1.41 (step @p7607 :rule not_implies_elim2 :premises (@p7606)) % 0.42/1.41 (step @p7608 :rule not_implies_elim2 :premises (@p7607)) % 0.42/1.41 (step @p7609 :rule not_implies_elim2 :premises (@p7608)) % 0.42/1.41 (step @p7610 :rule not_implies_elim2 :premises (@p7609)) % 0.42/1.41 (step @p7611 :rule not_implies_elim2 :premises (@p7610)) % 0.42/1.41 (step @p7612 :rule not_implies_elim2 :premises (@p7611)) % 0.42/1.41 (step @p7613 :rule not_implies_elim2 :premises (@p7612)) % 0.42/1.41 (step @p7614 :rule not_implies_elim2 :premises (@p7613)) % 0.42/1.41 (step @p7615 :rule not_implies_elim2 :premises (@p7614)) % 0.42/1.41 (step @p7616 :rule not_implies_elim2 :premises (@p7615)) % 0.42/1.41 (step @p7617 :rule not_implies_elim2 :premises (@p7616)) % 0.42/1.41 (step @p7618 :rule not_implies_elim2 :premises (@p7617)) % 0.42/1.41 (step @p7619 :rule not_implies_elim2 :premises (@p7618)) % 0.42/1.41 (step @p7620 :rule not_implies_elim2 :premises (@p7619)) % 0.42/1.41 (step @p7621 :rule not_implies_elim2 :premises (@p7620)) % 0.42/1.41 (step @p7622 :rule not_implies_elim2 :premises (@p7621)) % 0.42/1.41 (step @p7623 :rule not_implies_elim2 :premises (@p7622)) % 0.42/1.41 (step @p7624 :rule not_implies_elim2 :premises (@p7623)) % 0.42/1.41 (step @p7625 :rule not_implies_elim2 :premises (@p7624)) % 0.42/1.41 (step @p7626 :rule not_implies_elim2 :premises (@p7625)) % 0.42/1.41 (step @p7627 :rule not_implies_elim2 :premises (@p7626)) % 0.42/1.41 (step @p7628 :rule not_implies_elim2 :premises (@p7627)) % 0.42/1.41 (step @p7629 :rule not_implies_elim2 :premises (@p7628)) % 0.42/1.41 (step @p7630 :rule not_implies_elim2 :premises (@p7629)) % 0.42/1.41 (step @p7631 :rule not_implies_elim2 :premises (@p7630)) % 0.42/1.41 (step @p7632 :rule not_implies_elim2 :premises (@p7631)) % 0.42/1.41 (step @p7633 :rule not_implies_elim2 :premises (@p7632)) % 0.42/1.41 (step @p7634 :rule not_implies_elim2 :premises (@p7633)) % 0.42/1.41 (step @p7635 :rule not_implies_elim2 :premises (@p7634)) % 0.42/1.41 (step @p7636 :rule not_implies_elim2 :premises (@p7635)) % 0.42/1.41 (step @p7637 :rule not_implies_elim2 :premises (@p7636)) % 0.42/1.41 (step @p7638 :rule not_implies_elim2 :premises (@p7637)) % 0.42/1.41 (step @p7639 :rule not_implies_elim2 :premises (@p7638)) % 0.42/1.41 (step @p7640 :rule not_implies_elim2 :premises (@p7639)) % 0.42/1.41 (step @p7641 :rule not_implies_elim2 :premises (@p7640)) % 0.42/1.41 (step @p7642 :rule not_implies_elim2 :premises (@p7641)) % 0.42/1.41 (step @p7643 :rule not_implies_elim2 :premises (@p7642)) % 0.42/1.41 (step @p7644 :rule not_implies_elim2 :premises (@p7643)) % 0.42/1.41 (step @p7645 :rule not_implies_elim2 :premises (@p7644)) % 0.42/1.41 (step @p7646 :rule not_implies_elim2 :premises (@p7645)) % 0.42/1.41 (step @p7647 :rule not_implies_elim2 :premises (@p7646)) % 0.42/1.41 (step @p7648 :rule not_implies_elim2 :premises (@p7647)) % 0.42/1.41 (step @p7649 :rule not_implies_elim2 :premises (@p7648)) % 0.42/1.41 (step @p7650 :rule not_implies_elim2 :premises (@p7649)) % 0.42/1.41 (step @p7651 :rule not_implies_elim2 :premises (@p7650)) % 0.42/1.41 (step @p7652 :rule not_implies_elim2 :premises (@p7651)) % 0.42/1.41 (step @p7653 :rule not_implies_elim2 :premises (@p7652)) % 0.42/1.41 (step @p7654 :rule not_implies_elim2 :premises (@p7653)) % 0.42/1.41 (step @p7655 :rule not_implies_elim2 :premises (@p7654)) % 0.42/1.41 (step @p7656 :rule not_implies_elim2 :premises (@p7655)) % 0.42/1.41 (step @p7657 :rule not_implies_elim2 :premises (@p7656)) % 0.42/1.41 (step @p7658 :rule not_implies_elim2 :premises (@p7657)) % 0.42/1.41 (step @p7659 :rule not_implies_elim2 :premises (@p7658)) % 0.42/1.41 (step @p7660 :rule not_implies_elim2 :premises (@p7659)) % 0.42/1.41 (step @p7661 :rule not_implies_elim2 :premises (@p7660)) % 0.42/1.41 (step @p7662 :rule not_implies_elim2 :premises (@p7661)) % 0.42/1.41 (step @p7663 :rule not_implies_elim2 :premises (@p7662)) % 0.42/1.41 (step @p7664 :rule not_implies_elim2 :premises (@p7663)) % 0.42/1.41 (step @p7665 :rule not_implies_elim2 :premises (@p7664)) % 0.42/1.41 (step @p7666 :rule not_implies_elim2 :premises (@p7665)) % 0.42/1.41 (step @p7667 :rule not_implies_elim2 :premises (@p7666)) % 0.42/1.41 (step @p7668 :rule not_implies_elim2 :premises (@p7667)) % 0.42/1.41 (step @p7669 :rule not_implies_elim2 :premises (@p7668)) % 0.42/1.41 (step @p7670 :rule not_implies_elim2 :premises (@p7669)) % 0.42/1.41 (step @p7671 :rule not_implies_elim2 :premises (@p7670)) % 0.42/1.41 (step @p7672 :rule not_implies_elim2 :premises (@p7671)) % 0.42/1.41 (step @p7673 :rule not_implies_elim2 :premises (@p7672)) % 0.42/1.41 (step @p7674 :rule not_implies_elim1 :premises (@p7673)) % 0.42/1.41 (step @p7675 :rule instantiate :premises (@p7674) :args ((@list @t3857 @t3852 @t3848 @t3849))) % 0.42/1.41 (step @p7676 :rule not_implies_elim2 :premises (@p7673)) % 0.42/1.41 (step @p7677 :rule not_implies_elim2 :premises (@p7676)) % 0.42/1.41 (step @p7678 :rule not_implies_elim2 :premises (@p7677)) % 0.42/1.41 (step @p7679 :rule not_implies_elim2 :premises (@p7678)) % 0.42/1.41 (step @p7680 :rule not_implies_elim2 :premises (@p7679)) % 0.42/1.41 (step @p7681 :rule not_implies_elim2 :premises (@p7680)) % 0.42/1.41 (step @p7682 :rule not_implies_elim2 :premises (@p7681)) % 0.42/1.41 (step @p7683 :rule not_implies_elim2 :premises (@p7682)) % 0.42/1.41 (step @p7684 :rule not_implies_elim2 :premises (@p7683)) % 0.42/1.41 (step @p7685 :rule not_implies_elim2 :premises (@p7684)) % 0.42/1.41 (step @p7686 :rule not_implies_elim2 :premises (@p7685)) % 0.42/1.41 (step @p7687 :rule not_implies_elim2 :premises (@p7686)) % 0.42/1.41 (step @p7688 :rule refl :args (@t3869)) % 0.42/1.41 (step @p7689 :rule bool-double-not-elim :args (@t1185)) % 0.42/1.41 (step @p7690 :rule nary_cong :premises (@p7689 @p7688) :args ((or (not @t3870) @t3869))) % 0.42/1.41 (step @p7691 :rule refl :args (@t3848)) % 0.42/1.41 (step @p7692 :rule eq-refl :args (@t3851)) % 0.42/1.41 (step @p7693 :rule skolem_intro :args (@t3856)) % 0.42/1.41 (step @p7694 :rule refl :args (@t3851)) % 0.42/1.41 (step @p7695 :rule cong :premises (@p7694 @p7693) :args ((= @t3851 @t3856))) % 0.42/1.41 (step @p7696 :rule trans :premises (@p7695 @p7692)) % 0.42/1.41 (step @p7697 :rule true_elim :premises (@p7696)) % 0.42/1.41 (step @p7698 :rule refl :args (@t3852)) % 0.42/1.41 (step @p7699 :rule cong :premises (@p7698 @p7697) :args (@t3853)) % 0.42/1.41 (step @p7700 :rule cong :premises (@p7699) :args (@t3871)) % 0.42/1.41 (step @p7701 :rule refl :args (@t3849)) % 0.42/1.41 (step @p7702 :rule cong :premises (@p7701 @p7700) :args (@t3872)) % 0.42/1.41 (step @p7703 :rule cong :premises (@p7702 @p7691) :args (@t3873)) % 0.42/1.41 (step @p7704 :rule refl :args (@t3862)) % 0.42/1.41 (step @p7705 :rule refl :args (@t3865)) % 0.42/1.41 (step @p7706 :rule refl :args (@t3867)) % 0.42/1.41 (step @p7707 :rule nary_cong :premises (@p7706 @p7705 @p7704 @p7703) :args (@t3874)) % 0.42/1.41 (step @p7708 :rule cong :premises (@p7707) :args (@t3875)) % 0.42/1.41 (step @p7709 :rule refl :args (@t3870)) % 0.42/1.41 (step @p7710 :rule cong :premises (@p7709 @p7708) :args ((=> @t3870 @t3875))) % 0.42/1.41 (assume-push @p7818 @t3870) % 0.42/1.41 (step @p7712 :rule skolemize :premises (@p7687)) % 0.42/1.41 (step-pop @p7819 :rule scope :premises (@p7712)) % 0.42/1.41 (step @p7713 :rule process_scope :premises (@p7819) :args (@t3875)) % 0.42/1.41 (step @p7715 :rule eq_resolve :premises (@p7713 @p7710)) % 0.42/1.41 (step @p7716 :rule implies_elim :premises (@p7715)) % 0.42/1.41 (step @p7717 :rule eq_resolve :premises (@p7716 @p7690)) % 0.42/1.41 (step @p7718 :rule chain_m_resolution :premises (@p7717 @p7687) :args (@t3869 @t3876 (@list @t1185))) % 0.42/1.41 (step @p7719 :rule bool-double-not-elim :args (@t3861)) % 0.42/1.41 (step @p7720 :rule refl :args (@t3868)) % 0.42/1.41 (step @p7721 :rule nary_cong :premises (@p7720 @p7719) :args ((or @t3868 (not @t3862)))) % 0.42/1.41 (step @p7722 :rule cnf_or_neg :args (@t3868 2)) % 0.42/1.41 (step @p7723 :rule eq_resolve :premises (@p7722 @p7721)) % 0.42/1.41 (step @p7724 :rule reordering :premises (@p7723) :args ((or @t3861 @t3868))) % 0.42/1.41 (step @p7725 :rule chain_m_resolution :premises (@p7724 @p7718) :args (@t3861 @t3876 @t3877)) % 0.42/1.41 (step @p7726 :rule bool-double-not-elim :args (@t3864)) % 0.42/1.41 (step @p7727 :rule nary_cong :premises (@p7720 @p7726) :args ((or @t3868 (not @t3865)))) % 0.42/1.41 (step @p7728 :rule cnf_or_neg :args (@t3868 1)) % 0.42/1.41 (step @p7729 :rule eq_resolve :premises (@p7728 @p7727)) % 0.42/1.41 (step @p7730 :rule reordering :premises (@p7729) :args ((or @t3864 @t3868))) % 0.42/1.41 (step @p7731 :rule chain_m_resolution :premises (@p7730 @p7718) :args (@t3864 @t3876 @t3877)) % 0.42/1.41 (step @p7732 :rule bool-double-not-elim :args (@t3866)) % 0.42/1.41 (step @p7733 :rule nary_cong :premises (@p7720 @p7732) :args ((or @t3868 (not @t3867)))) % 0.42/1.41 (step @p7734 :rule cnf_or_neg :args (@t3868 0)) % 0.42/1.41 (step @p7735 :rule eq_resolve :premises (@p7734 @p7733)) % 0.42/1.41 (step @p7736 :rule reordering :premises (@p7735) :args ((or @t3866 @t3868))) % 0.42/1.41 (step @p7737 :rule chain_m_resolution :premises (@p7736 @p7718) :args (@t3866 @t3876 @t3877)) % 0.42/1.41 (step @p7738 :rule cnf_or_pos :args (@t3879)) % 0.42/1.41 (step @p7739 :rule reordering :premises (@p7738) :args ((or @t3867 @t3865 @t3862 @t3878 (not @t3879)))) % 0.42/1.41 (step @p7740 :rule chain_m_resolution :premises (@p7739 @p7737 @p7731 @p7725 @p7675) :args (@t3878 (@list false false false false) (@list @t3866 @t3864 @t3861 @t3879))) % 0.42/1.41 (step @p7741 :rule refl :args (@t3886)) % 0.42/1.41 (step @p7742 :rule bool-double-not-elim :args (@t3854)) % 0.42/1.41 (step @p7743 :rule nary_cong :premises (@p7742 @p7741) :args ((or (not @t3878) @t3886))) % 0.42/1.41 (step @p7744 :rule refl :args (@t3880)) % 0.42/1.41 (step @p7745 :rule cong :premises (@p7699 @p7744) :args (@t3887)) % 0.42/1.41 (step @p7746 :rule cong :premises (@p7745) :args (@t3888)) % 0.42/1.41 (step @p7747 :rule refl :args (@t3855)) % 0.42/1.41 (step @p7748 :rule cong :premises (@p7747 @p7699) :args (@t3889)) % 0.42/1.41 (step @p7749 :rule cong :premises (@p7748) :args (@t3890)) % 0.42/1.41 (step @p7750 :rule nary_cong :premises (@p7749 @p7746) :args (@t3891)) % 0.42/1.41 (step @p7751 :rule cong :premises (@p7750) :args (@t3892)) % 0.42/1.41 (step @p7752 :rule refl :args (@t3878)) % 0.42/1.41 (step @p7753 :rule cong :premises (@p7752 @p7751) :args ((=> @t3878 @t3892))) % 0.42/1.41 (step @p7754 :rule eq-symm :args (@t3880 @t3853)) % 0.42/1.41 (step @p7755 :rule cong :premises (@p7754) :args (@t3893)) % 0.42/1.41 (step @p7756 :rule refl :args (@t3890)) % 0.42/1.41 (step @p7757 :rule nary_cong :premises (@p7756 @p7755) :args (@t3894)) % 0.42/1.41 (step @p7758 :rule cong :premises (@p7757) :args (@t3895)) % 0.42/1.41 (step @p7759 :rule cong :premises (@p7752 @p7758) :args ((=> @t3878 @t3895))) % 0.42/1.41 (step @p7760 :rule trans :premises (@p7759 @p7753)) % 0.42/1.41 (assume-push @p7820 @t3878) % 0.42/1.41 (step @p7762 :rule skolemize :premises (@p7740)) % 0.42/1.41 (step-pop @p7821 :rule scope :premises (@p7762)) % 0.42/1.41 (step @p7763 :rule process_scope :premises (@p7821) :args (@t3895)) % 0.42/1.41 (step @p7765 :rule eq_resolve :premises (@p7763 @p7760)) % 0.42/1.41 (step @p7766 :rule implies_elim :premises (@p7765)) % 0.42/1.41 (step @p7767 :rule eq_resolve :premises (@p7766 @p7743)) % 0.42/1.41 (step @p7768 :rule chain_m_resolution :premises (@p7767 @p7740) :args (@t3886 @t3876 (@list @t3854))) % 0.42/1.41 (step @p7769 :rule bool-double-not-elim :args (@t3883)) % 0.42/1.41 (step @p7770 :rule refl :args (@t3885)) % 0.42/1.41 (step @p7771 :rule nary_cong :premises (@p7770 @p7769) :args ((or @t3885 (not @t3884)))) % 0.42/1.41 (step @p7772 :rule cnf_or_neg :args (@t3885 0)) % 0.42/1.41 (step @p7773 :rule eq_resolve :premises (@p7772 @p7771)) % 0.42/1.41 (step @p7774 :rule reordering :premises (@p7773) :args ((or @t3883 @t3885))) % 0.42/1.41 (step @p7775 :rule chain_m_resolution :premises (@p7774 @p7768) :args (@t3883 @t3876 @t3896)) % 0.42/1.41 (step @p7776 :rule cnf_or_pos :args (@t3898)) % 0.42/1.41 (step @p7777 :rule reordering :premises (@p7776) :args ((or @t3884 @t3897 (not @t3898)))) % 0.42/1.41 (step @p7778 :rule chain_m_resolution :premises (@p7777 @p7775 @p7516) :args (@t3897 (@list false false) (@list @t3883 @t3898))) % 0.42/1.41 (step @p7779 :rule true_intro :premises (@p7778)) % 0.42/1.41 (step @p7780 :rule not_implies_elim1 :premises (@p7638)) % 0.42/1.41 (step @p7781 :rule instantiate :premises (@p7780) :args ((@list @t3855))) % 0.42/1.41 (step @p7782 :rule symm :premises (@p7781)) % 0.42/1.41 (step @p7783 :rule bool-double-not-elim :args (@t3881)) % 0.42/1.41 (step @p7784 :rule nary_cong :premises (@p7770 @p7783) :args ((or @t3885 (not @t3882)))) % 0.42/1.41 (step @p7785 :rule cnf_or_neg :args (@t3885 1)) % 0.42/1.41 (step @p7786 :rule eq_resolve :premises (@p7785 @p7784)) % 0.42/1.41 (step @p7787 :rule reordering :premises (@p7786) :args ((or @t3881 @t3885))) % 0.42/1.41 (step @p7788 :rule chain_m_resolution :premises (@p7787 @p7768) :args (@t3881 @t3876 @t3896)) % 0.42/1.41 (step @p7789 :rule cong :premises (@p7788) :args (@t3859)) % 0.42/1.41 (step @p7790 :rule trans :premises (@p7789 @p7782)) % 0.42/1.41 (step @p7791 :rule cong :premises (@p7790) :args (@t3899)) % 0.42/1.41 (step @p7792 :rule eq-symm :args (@t3900 @t3850)) % 0.42/1.41 (step @p7793 :rule beta-reduce :args ((= @t3901 @t3850))) % 0.42/1.41 (step @p7794 :rule refl :args (@t3900)) % 0.42/1.41 (step @p7795 :rule cong :premises (@p7794 @p7793) :args (@t3902)) % 0.42/1.41 (step @p7796 :rule trans :premises (@p7795 @p7792)) % 0.42/1.41 (step @p7797 :rule cong :premises (@p7796) :args (@t3903)) % 0.42/1.41 (step @p7798 :rule eq-refl :args (@t3901)) % 0.42/1.41 (step @p7799 :rule cong :premises (@p7798) :args ((forall @t70 (= @t3901 @t3901)))) % 0.42/1.41 (step @p7800 :rule trans :premises (@p7799 @p2013)) % 0.42/1.41 (step @p7801 :rule refl :args (@t3901)) % 0.42/1.41 (step @p7802 :rule ho_cong :premises (@p7693 @p1094)) % 0.42/1.41 (step @p7803 :rule cong :premises (@p7802 @p7801) :args (@t3902)) % 0.42/1.41 (step @p7804 :rule cong :premises (@p7803) :args (@t3903)) % 0.42/1.41 (step @p7805 :rule trans :premises (@p7804 @p7800)) % 0.42/1.41 (step @p7806 :rule true_elim :premises (@p7805)) % 0.42/1.41 (step @p7807 :rule eq_resolve :premises (@p7806 @p7797)) % 0.42/1.41 (step @p7808 :rule instantiate :premises (@p7807) :args ((@list @t3859))) % 0.42/1.41 (step @p7809 :rule cnf_or_neg :args (@t3868 3)) % 0.42/1.41 (step @p7810 :rule chain_m_resolution :premises (@p7809 @p7718) :args ((not @t3860) @t3876 @t3877)) % 0.42/1.41 (step @p7811 :rule cnf_equiv_pos2 :args (@t3904)) % 0.42/1.41 (step @p7812 :rule reordering :premises (@p7811) :args ((or @t3860 @t3905 (not @t3904)))) % 0.42/1.41 (step @p7813 :rule chain_m_resolution :premises (@p7812 @p7810 @p7808) :args (@t3905 (@list true false) (@list @t3860 @t3904))) % 0.42/1.41 (step @p7814 :rule false_intro :premises (@p7813)) % 0.42/1.41 (step @p7815 :rule symm :premises (@p7814)) % 0.42/1.41 (step @p7816 :rule trans :premises (@p7815 @p7791 @p7779)) % 0.42/1.41 (step @p7817 false :rule eq_resolve :premises (@p7816 @p211)) % 0.42/1.41 ) % 0.42/1.41 % SZS output end Proof % 0.42/1.41 % cvc5 exiting %------------------------------------------------------------------------------