%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU710^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:52:50 AM UTC 2026 % Result : Theorem 1.12s 1.33s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU710^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:48:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.58 %----Proving TH0 % 1.12/1.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.12/1.33 % SZS status Theorem % 1.12/1.33 % SZS output start Proof % 1.12/1.33 ( % 1.12/1.33 (declare-sort $$unsorted 0) % 1.12/1.33 (declare-const tptp.emptyset $$unsorted) % 1.12/1.33 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.12/1.33 (declare-const tptp.singleton (-> $$unsorted Bool)) % 1.12/1.33 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.12/1.33 (declare-const tptp.iftrueProp1 Bool) % 1.12/1.33 (declare-const tptp.lam2lamEq Bool) % 1.12/1.33 (declare-const tptp.ap2apEq1 Bool) % 1.12/1.33 (declare-const tptp.funcextLem Bool) % 1.12/1.33 (declare-const tptp.funcGraphProp2 Bool) % 1.12/1.33 (declare-const tptp.ex1E2 Bool) % 1.12/1.33 (declare-const tptp.brelnall1 Bool) % 1.12/1.33 (declare-const tptp.lamp Bool) % 1.12/1.33 (declare-const tptp.iffalse Bool) % 1.12/1.33 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 1.12/1.33 (declare-const tptp.lamProp Bool) % 1.12/1.33 (declare-const tptp.iftrueProp2 Bool) % 1.12/1.33 (declare-const tptp.app Bool) % 1.12/1.33 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.33 (declare-const tptp.dpsetconstrEL2 Bool) % 1.12/1.33 (declare-const tptp.dpsetconstrEL1 Bool) % 1.12/1.33 (declare-const tptp.dpsetconstrERa Bool) % 1.12/1.33 (declare-const tptp.setOfPairsIsBReln Bool) % 1.12/1.33 (declare-const tptp.dpsetconstrSub Bool) % 1.12/1.33 (declare-const tptp.dpsetconstrI Bool) % 1.12/1.33 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 1.12/1.33 (declare-const tptp.cartprodfstpairEq Bool) % 1.12/1.33 (declare-const tptp.cartprodpairmemER Bool) % 1.12/1.33 (declare-const tptp.cartprodpairmemEL Bool) % 1.12/1.33 (declare-const tptp.kpairsurjEq Bool) % 1.12/1.33 (declare-const tptp.ksndsingleton Bool) % 1.12/1.33 (declare-const tptp.setukpairinjR Bool) % 1.12/1.33 (declare-const tptp.setukpairinjR2 Bool) % 1.12/1.33 (declare-const tptp.setukpairinjR1 Bool) % 1.12/1.33 (declare-const tptp.setukpairinjR12 Bool) % 1.12/1.33 (declare-const tptp.setukpairinjL Bool) % 1.12/1.33 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.kfstsingleton Bool) % 1.12/1.33 (declare-const tptp.setukpairinjL1 Bool) % 1.12/1.33 (declare-const tptp.ex1I Bool) % 1.12/1.33 (declare-const tptp.funcImageSingleton Bool) % 1.12/1.33 (declare-const tptp.singletonprop Bool) % 1.12/1.33 (declare-const tptp.iffalseProp1 Bool) % 1.12/1.33 (declare-const tptp.setunionsingleton Bool) % 1.12/1.33 (declare-const tptp.setunionE2 Bool) % 1.12/1.33 (declare-const tptp.cartprodmempair Bool) % 1.12/1.33 (declare-const tptp.funcext Bool) % 1.12/1.33 (declare-const tptp.ubforcartprodlem3 Bool) % 1.12/1.33 (declare-const tptp.ubforcartprodlem2 Bool) % 1.12/1.33 (declare-const tptp.upairsubunion Bool) % 1.12/1.33 (declare-const tptp.singletoninpowunion Bool) % 1.12/1.33 (declare-const tptp.ksndpairEq Bool) % 1.12/1.33 (declare-const tptp.singletoninpowerset Bool) % 1.12/1.33 (declare-const tptp.setukpairIR Bool) % 1.12/1.33 (declare-const tptp.funcGraphProp1 Bool) % 1.12/1.33 (declare-const tptp.secondinupair Bool) % 1.12/1.33 (declare-const tptp.brelnall2 Bool) % 1.12/1.33 (declare-const tptp.symdiffIneg2 Bool) % 1.12/1.33 (declare-const tptp.symdiffI2 Bool) % 1.12/1.33 (declare-const tptp.symdiffI1 Bool) % 1.12/1.33 (declare-const tptp.theprop Bool) % 1.12/1.33 (declare-const tptp.setminusIRneg Bool) % 1.12/1.33 (declare-const tptp.setminusILneg Bool) % 1.12/1.33 (declare-const tptp.setminusERneg Bool) % 1.12/1.33 (declare-const tptp.ex1I2 Bool) % 1.12/1.33 (declare-const tptp.setminusI Bool) % 1.12/1.33 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.bs114d Bool) % 1.12/1.33 (declare-const tptp.apProp Bool) % 1.12/1.33 (declare-const tptp.ex1E1 Bool) % 1.12/1.33 (declare-const tptp.binintersectSubset1 Bool) % 1.12/1.33 (declare-const tptp.funcGraphProp4 Bool) % 1.12/1.33 (declare-const tptp.upairsetIR Bool) % 1.12/1.33 (declare-const tptp.setunion__Cong Bool) % 1.12/1.33 (declare-const tptp.powersetE1 Bool) % 1.12/1.33 (declare-const tptp.singletonsswitch Bool) % 1.12/1.33 (declare-const tptp.subset2powerset Bool) % 1.12/1.33 (declare-const tptp.notinsingleton Bool) % 1.12/1.33 (declare-const tptp.subPowSU Bool) % 1.12/1.33 (declare-const tptp.binintersectSubset5 Bool) % 1.12/1.33 (declare-const tptp.beta1 Bool) % 1.12/1.33 (declare-const tptp.exuE1 Bool) % 1.12/1.33 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.setunionI Bool) % 1.12/1.33 (declare-const tptp.notdexE Bool) % 1.12/1.33 (declare-const tptp.funcinfuncset Bool) % 1.12/1.33 (declare-const tptp.setadjoinE Bool) % 1.12/1.33 (declare-const tptp.infuncsetfunc Bool) % 1.12/1.33 (declare-const tptp.setminusEL Bool) % 1.12/1.33 (declare-const tptp.descr__Cong Bool) % 1.12/1.33 (declare-const tptp.nonemptyI1 Bool) % 1.12/1.33 (declare-const tptp.singletonsuniq Bool) % 1.12/1.33 (declare-const tptp.emptysetAx Bool) % 1.12/1.33 (declare-const tptp.nonemptyI Bool) % 1.12/1.33 (declare-const tptp.upairsetIL Bool) % 1.12/1.33 (declare-const tptp.powersetI1 Bool) % 1.12/1.33 (declare-const tptp.kpairp Bool) % 1.12/1.33 (declare-const tptp.eqinunit Bool) % 1.12/1.33 (declare-const tptp.noeltsimpempty Bool) % 1.12/1.33 (declare-const tptp.emptyI Bool) % 1.12/1.33 (declare-const tptp.powersetI Bool) % 1.12/1.33 (declare-const tptp.quantDeMorgan4 Bool) % 1.12/1.33 (declare-const tptp.setunionE Bool) % 1.12/1.33 (declare-const tptp.omegaIndAx Bool) % 1.12/1.33 (declare-const tptp.setunionAx Bool) % 1.12/1.33 (declare-const tptp.setoftrueEq Bool) % 1.12/1.33 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.cartprodsndpairEq Bool) % 1.12/1.33 (declare-const tptp.upairset2IR Bool) % 1.12/1.33 (declare-const tptp.lam2p Bool) % 1.12/1.33 (declare-const tptp.omegaSAx Bool) % 1.12/1.33 (declare-const tptp.powersetE Bool) % 1.12/1.33 (declare-const tptp.setminusELneg Bool) % 1.12/1.33 (declare-const tptp.powersetAx Bool) % 1.12/1.33 (declare-const tptp.theeq Bool) % 1.12/1.33 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.subsetemptysetimpeq Bool) % 1.12/1.33 (declare-const tptp.ifp Bool) % 1.12/1.33 (declare-const tptp.setminusER Bool) % 1.12/1.33 (declare-const tptp.setadjoinAx Bool) % 1.12/1.33 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.omega $$unsorted) % 1.12/1.33 (declare-const tptp.emptyInPowerset Bool) % 1.12/1.33 (declare-const tptp.eqimpsubset1 Bool) % 1.12/1.33 (declare-const tptp.funcext2 Bool) % 1.12/1.33 (declare-const tptp.cartprodpairin Bool) % 1.12/1.33 (declare-const tptp.binunionE Bool) % 1.12/1.33 (declare-const tptp.ap2apEq2 Bool) % 1.12/1.33 (declare-const tptp.dsetconstrER Bool) % 1.12/1.33 (declare-const tptp.notdallE Bool) % 1.12/1.33 (declare-const tptp.cartprodmempair1 Bool) % 1.12/1.33 (declare-const tptp.binunionRsub Bool) % 1.12/1.33 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.emptyinunitempty Bool) % 1.12/1.33 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.powersetsubset Bool) % 1.12/1.33 (declare-const tptp.setukpairinjR11 Bool) % 1.12/1.33 (declare-const tptp.exuE2 Bool) % 1.12/1.33 (declare-const tptp.beta2 Bool) % 1.12/1.33 (declare-const tptp.notinemptyset Bool) % 1.12/1.33 (declare-const tptp.subsetRefl Bool) % 1.12/1.33 (declare-const tptp.emptysetimpfalse Bool) % 1.12/1.33 (declare-const tptp.funcGraphProp3 Bool) % 1.12/1.33 (declare-const tptp.upairequniteq Bool) % 1.12/1.33 (declare-const tptp.foundationAx Bool) % 1.12/1.33 (declare-const tptp.uniqinunit Bool) % 1.12/1.33 (declare-const tptp.exuE3u Bool) % 1.12/1.33 (declare-const tptp.setukpairIL Bool) % 1.12/1.33 (declare-const tptp.subsetTrans Bool) % 1.12/1.33 (declare-const tptp.setadjoinOr Bool) % 1.12/1.33 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.12/1.33 (declare-const tptp.kfstpairEq Bool) % 1.12/1.33 (declare-const tptp.setminusSubset1 Bool) % 1.12/1.33 (declare-const tptp.emptyinPowerset Bool) % 1.12/1.33 (declare-const tptp.prop2setI Bool) % 1.12/1.33 (declare-const tptp.dsetconstrEL Bool) % 1.12/1.33 (declare-const tptp.prop2set2propI Bool) % 1.12/1.33 (declare-const tptp.binunionLsub Bool) % 1.12/1.33 (declare-const tptp.upairsetE Bool) % 1.12/1.33 (declare-const tptp.replAx Bool) % 1.12/1.33 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.wellorderingAx Bool) % 1.12/1.33 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.12/1.33 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.12/1.33 (declare-const tptp.nonemptyImpWitness Bool) % 1.12/1.33 (declare-const tptp.binintersectLsub Bool) % 1.12/1.33 (declare-const tptp.dsetconstrI Bool) % 1.12/1.33 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.12/1.33 (declare-const tptp.exuI2 Bool) % 1.12/1.33 (declare-const tptp.prop2setE Bool) % 1.12/1.33 (declare-const tptp.exuEu Bool) % 1.12/1.33 (declare-const tptp.setadjoinIL Bool) % 1.12/1.33 (declare-const tptp.ifSingleton Bool) % 1.12/1.33 (declare-const tptp.omega__Cong Bool) % 1.12/1.33 (declare-const tptp.emptysetE Bool) % 1.12/1.33 (declare-const tptp.symdiffIneg1 Bool) % 1.12/1.33 (declare-const tptp.notequalI1 Bool) % 1.12/1.33 (declare-const tptp.subbreln Bool) % 1.12/1.33 (declare-const tptp.emptyE1 Bool) % 1.12/1.33 (declare-const tptp.cartprodsndin Bool) % 1.12/1.33 (declare-const tptp.upairset2E Bool) % 1.12/1.33 (declare-const tptp.inPowerset Bool) % 1.12/1.33 (declare-const tptp.vacuousDall Bool) % 1.12/1.33 (declare-const tptp.upairinpowunion Bool) % 1.12/1.33 (declare-const tptp.sepInPowerset Bool) % 1.12/1.33 (declare-const tptp.ubforcartprodlem1 Bool) % 1.12/1.33 (declare-const tptp.quantDeMorgan1 Bool) % 1.12/1.33 (declare-const tptp.ap2p Bool) % 1.12/1.33 (declare-const tptp.setminusSubset2 Bool) % 1.12/1.33 (declare-const tptp.setadjoinIR Bool) % 1.12/1.33 (declare-const tptp.dsetconstr__Cong Bool) % 1.12/1.33 (declare-const tptp.cartprodmempaircEq Bool) % 1.12/1.33 (declare-const tptp.sepSubset Bool) % 1.12/1.33 (declare-const tptp.quantDeMorgan2 Bool) % 1.12/1.33 (declare-const tptp.iftrue Bool) % 1.12/1.33 (declare-const tptp.subsetI1 Bool) % 1.12/1.33 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.12/1.33 (declare-const tptp.setukpairinjL2 Bool) % 1.12/1.33 (declare-const tptp.subsetE Bool) % 1.12/1.33 (declare-const tptp.exuI3 Bool) % 1.12/1.33 (declare-const tptp.subsetE2 Bool) % 1.12/1.33 (declare-const tptp.inCongP Bool) % 1.12/1.33 (declare-const tptp.setunionsingleton1 Bool) % 1.12/1.33 (declare-const tptp.in__Cong Bool) % 1.12/1.33 (declare-const tptp.exu__Cong Bool) % 1.12/1.33 (declare-const tptp.eta2 Bool) % 1.12/1.33 (declare-const tptp.setunionsingleton2 Bool) % 1.12/1.33 (declare-const tptp.exuE3e Bool) % 1.12/1.33 (declare-const tptp.binintersectSubset3 Bool) % 1.12/1.33 (declare-const tptp.iffalseProp2 Bool) % 1.12/1.33 (declare-const tptp.setadjoin__Cong Bool) % 1.12/1.33 (declare-const tptp.emptyset__Cong Bool) % 1.12/1.33 (declare-const tptp.binintersectRsub Bool) % 1.12/1.33 (declare-const tptp.nonemptyE1 Bool) % 1.12/1.33 (declare-const tptp.setextAx Bool) % 1.12/1.33 (declare-const tptp.powerset__Cong Bool) % 1.12/1.33 (declare-const tptp.setminusLsub Bool) % 1.12/1.33 (declare-const tptp.eqimpsubset2 Bool) % 1.12/1.33 (declare-const tptp.iftrueorfalse Bool) % 1.12/1.33 (declare-const tptp.cartprodfstin Bool) % 1.12/1.33 (declare-const tptp.symdiffE Bool) % 1.12/1.33 (declare-const tptp.omega0Ax Bool) % 1.12/1.33 (declare-const tptp.subsetI2 Bool) % 1.12/1.33 (declare-const tptp.emptysetsubset Bool) % 1.12/1.33 (declare-const tptp.notsubsetI Bool) % 1.12/1.33 (declare-const tptp.notequalI2 Bool) % 1.12/1.33 (declare-const tptp.setadjoinSub Bool) % 1.12/1.33 (declare-const tptp.kpairiskpair Bool) % 1.12/1.33 (declare-const tptp.setadjoinSub2 Bool) % 1.12/1.33 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.disjointsetsI1 Bool) % 1.12/1.33 (declare-const tptp.singletonsubset Bool) % 1.12/1.33 (declare-const tptp.setextsub Bool) % 1.12/1.33 (declare-const tptp.setbeta Bool) % 1.12/1.33 (declare-const tptp.binintersectSubset4 Bool) % 1.12/1.33 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.33 (declare-const tptp.eqbreln Bool) % 1.12/1.33 (declare-const tptp.binunionIL Bool) % 1.12/1.33 (declare-const tptp.binunionIR Bool) % 1.12/1.33 (declare-const tptp.cartprodpairsurjEq Bool) % 1.12/1.33 (declare-const tptp.descrp Bool) % 1.12/1.33 (declare-const tptp.quantDeMorgan3 Bool) % 1.12/1.33 (declare-const tptp.binunionEcases Bool) % 1.12/1.33 (declare-const tptp.exuI1 Bool) % 1.12/1.33 (declare-const tptp.binintersectI Bool) % 1.12/1.33 (declare-const tptp.eta1 Bool) % 1.12/1.33 (declare-const tptp.binintersectEL Bool) % 1.12/1.33 (declare-const tptp.binintersectSubset2 Bool) % 1.12/1.33 (declare-const tptp.dpsetconstrER Bool) % 1.12/1.33 (declare-const tptp.setext Bool) % 1.12/1.33 (declare-const tptp.binintersectER Bool) % 1.12/1.33 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.12/1.33 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.12/1.33 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 1.12/1.33 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 1.12/1.33 (define @t1 () (@var "B" $$unsorted)) % 1.12/1.33 (define @t2 () (@var "A" $$unsorted)) % 1.12/1.33 (define @t3 () (= @t2 @t1)) % 1.12/1.33 (define @t4 () (@var "Xx" $$unsorted)) % 1.12/1.33 (define @t5 () (_ tptp.in @t4)) % 1.12/1.33 (define @t6 () (_ @t5 @t1)) % 1.12/1.33 (define @t7 () (_ @t5 @t2)) % 1.12/1.33 (define @t8 () (= @t7 @t6)) % 1.12/1.33 (define @t9 () (@list @t4)) % 1.12/1.33 (define @t10 () (forall @t9 @t8)) % 1.12/1.33 (define @t11 () (=> @t10 @t3)) % 1.12/1.33 (define @t12 () (@list @t2 @t1)) % 1.12/1.33 (define @t13 () (forall @t12 @t11)) % 1.12/1.33 (define @t14 () (= tptp.setextAx @t13)) % 1.12/1.33 (define @t15 () (_ @t5 tptp.emptyset)) % 1.12/1.33 (define @t16 () (not @t15)) % 1.12/1.33 (define @t17 () (forall @t9 @t16)) % 1.12/1.33 (define @t18 () (= tptp.emptysetAx @t17)) % 1.12/1.33 (define @t19 () (@var "Xy" $$unsorted)) % 1.12/1.33 (define @t20 () (_ tptp.in @t19)) % 1.12/1.33 (define @t21 () (_ @t20 @t2)) % 1.12/1.33 (define @t22 () (= @t19 @t4)) % 1.12/1.33 (define @t23 () (or @t22 @t21)) % 1.12/1.33 (define @t24 () (_ tptp.setadjoin @t4)) % 1.12/1.33 (define @t25 () (_ @t24 @t2)) % 1.12/1.33 (define @t26 () (_ @t20 @t25)) % 1.12/1.33 (define @t27 () (= @t26 @t23)) % 1.12/1.33 (define @t28 () (@list @t4 @t2 @t19)) % 1.12/1.33 (define @t29 () (forall @t28 @t27)) % 1.12/1.33 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.12/1.33 (define @t31 () (=> @t6 @t7)) % 1.12/1.33 (define @t32 () (forall @t9 @t31)) % 1.12/1.33 (define @t33 () (_ tptp.powerset @t2)) % 1.12/1.33 (define @t34 () (_ tptp.in @t1)) % 1.12/1.33 (define @t35 () (_ @t34 @t33)) % 1.12/1.33 (define @t36 () (= @t35 @t32)) % 1.12/1.33 (define @t37 () (forall @t12 @t36)) % 1.12/1.33 (define @t38 () (= tptp.powersetAx @t37)) % 1.12/1.33 (define @t39 () (_ @t34 @t2)) % 1.12/1.33 (define @t40 () (and @t6 @t39)) % 1.12/1.33 (define @t41 () (@list @t1)) % 1.12/1.33 (define @t42 () (exists @t41 @t40)) % 1.12/1.33 (define @t43 () (_ tptp.setunion @t2)) % 1.12/1.33 (define @t44 () (_ @t5 @t43)) % 1.12/1.33 (define @t45 () (= @t44 @t42)) % 1.12/1.33 (define @t46 () (@list @t2 @t4)) % 1.12/1.33 (define @t47 () (forall @t46 @t45)) % 1.12/1.33 (define @t48 () (= tptp.setunionAx @t47)) % 1.12/1.33 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.12/1.33 (define @t50 () (_ @t49 tptp.omega)) % 1.12/1.33 (define @t51 () (_ @t24 @t4)) % 1.12/1.33 (define @t52 () (_ tptp.in @t51)) % 1.12/1.33 (define @t53 () (_ @t52 tptp.omega)) % 1.12/1.33 (define @t54 () (_ @t5 tptp.omega)) % 1.12/1.33 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.12/1.33 (define @t56 () (= tptp.omegaSAx @t55)) % 1.12/1.33 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.12/1.33 (define @t58 () (_ @t52 @t2)) % 1.12/1.33 (define @t59 () (and @t54 @t7)) % 1.12/1.33 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.12/1.33 (define @t61 () (_ @t49 @t2)) % 1.12/1.33 (define @t62 () (and @t61 @t60)) % 1.12/1.33 (define @t63 () (=> @t62 @t57)) % 1.12/1.33 (define @t64 () (@list @t2)) % 1.12/1.33 (define @t65 () (forall @t64 @t63)) % 1.12/1.33 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.12/1.33 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.12/1.33 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.12/1.33 (define @t69 () (and @t21 @t68)) % 1.12/1.33 (define @t70 () (@list @t19)) % 1.12/1.33 (define @t71 () (exists @t70 @t69)) % 1.12/1.33 (define @t72 () (= @t6 @t71)) % 1.12/1.33 (define @t73 () (forall @t9 @t72)) % 1.12/1.33 (define @t74 () (exists @t41 @t73)) % 1.12/1.33 (define @t75 () (_ @t67 @t4)) % 1.12/1.33 (define @t76 () (_ @t75 @t19)) % 1.12/1.33 (define @t77 () (lambda @t70 @t76)) % 1.12/1.33 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.12/1.33 (define @t79 () (forall @t9 @t78)) % 1.12/1.33 (define @t80 () (=> @t79 @t74)) % 1.12/1.33 (define @t81 () (@list @t67 @t2)) % 1.12/1.33 (define @t82 () (forall @t81 @t80)) % 1.12/1.33 (define @t83 () (= tptp.replAx @t82)) % 1.12/1.33 (define @t84 () (and @t6 @t7)) % 1.12/1.33 (define @t85 () (exists @t9 @t84)) % 1.12/1.33 (define @t86 () (not @t85)) % 1.12/1.33 (define @t87 () (and @t39 @t86)) % 1.12/1.33 (define @t88 () (exists @t41 @t87)) % 1.12/1.33 (define @t89 () (exists @t9 @t7)) % 1.12/1.33 (define @t90 () (=> @t89 @t88)) % 1.12/1.33 (define @t91 () (forall @t64 @t90)) % 1.12/1.33 (define @t92 () (= tptp.foundationAx @t91)) % 1.12/1.33 (define @t93 () (@var "E" $$unsorted)) % 1.12/1.33 (define @t94 () (_ @t5 @t93)) % 1.12/1.33 (define @t95 () (@var "D" $$unsorted)) % 1.12/1.33 (define @t96 () (_ @t20 @t95)) % 1.12/1.33 (define @t97 () (_ @t20 @t93)) % 1.12/1.33 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.12/1.33 (define @t99 () (or @t98 @t94)) % 1.12/1.33 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.12/1.33 (define @t101 () (=> @t100 @t99)) % 1.12/1.33 (define @t102 () (@list @t93)) % 1.12/1.33 (define @t103 () (forall @t102 @t101)) % 1.12/1.33 (define @t104 () (@var "C" $$unsorted)) % 1.12/1.33 (define @t105 () (_ @t20 @t104)) % 1.12/1.33 (define @t106 () (and @t96 @t105)) % 1.12/1.33 (define @t107 () (exists @t70 @t106)) % 1.12/1.33 (define @t108 () (not @t107)) % 1.12/1.33 (define @t109 () (_ @t5 @t104)) % 1.12/1.33 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.12/1.33 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.12/1.33 (define @t112 () (@list @t95 @t4)) % 1.12/1.33 (define @t113 () (exists @t112 @t111)) % 1.12/1.33 (define @t114 () (exists @t9 @t109)) % 1.12/1.33 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.12/1.33 (define @t116 () (and @t115 @t114)) % 1.12/1.33 (define @t117 () (=> @t116 @t113)) % 1.12/1.33 (define @t118 () (@list @t104)) % 1.12/1.33 (define @t119 () (forall @t118 @t117)) % 1.12/1.33 (define @t120 () (_ @t5 @t95)) % 1.12/1.33 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.12/1.33 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.12/1.33 (define @t123 () (or @t122 @t121)) % 1.12/1.33 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.12/1.33 (define @t125 () (and @t124 @t110)) % 1.12/1.33 (define @t126 () (=> @t125 @t123)) % 1.12/1.33 (define @t127 () (@list @t104 @t95)) % 1.12/1.33 (define @t128 () (forall @t127 @t126)) % 1.12/1.33 (define @t129 () (= @t4 @t19)) % 1.12/1.33 (define @t130 () (= @t109 @t105)) % 1.12/1.33 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.12/1.33 (define @t132 () (=> @t131 @t129)) % 1.12/1.33 (define @t133 () (and @t7 @t21)) % 1.12/1.33 (define @t134 () (=> @t133 @t132)) % 1.12/1.33 (define @t135 () (@list @t4 @t19)) % 1.12/1.33 (define @t136 () (forall @t135 @t134)) % 1.12/1.33 (define @t137 () (=> @t124 @t115)) % 1.12/1.33 (define @t138 () (forall @t118 @t137)) % 1.12/1.33 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.12/1.33 (define @t140 () (exists @t41 @t139)) % 1.12/1.33 (define @t141 () (forall @t64 @t140)) % 1.12/1.33 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.12/1.33 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.12/1.33 (define @t144 () (_ @t143 @t4)) % 1.12/1.33 (define @t145 () (lambda @t9 @t144)) % 1.12/1.33 (define @t146 () (_ tptp.descr @t145)) % 1.12/1.33 (define @t147 () (_ @t143 @t146)) % 1.12/1.33 (define @t148 () (_ tptp.exu @t145)) % 1.12/1.33 (define @t149 () (=> @t148 @t147)) % 1.12/1.33 (define @t150 () (@list @t143)) % 1.12/1.33 (define @t151 () (forall @t150 @t149)) % 1.12/1.33 (define @t152 () (= tptp.descrp @t151)) % 1.12/1.33 (define @t153 () (_ @t143 @t19)) % 1.12/1.33 (define @t154 () (lambda @t70 @t153)) % 1.12/1.33 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.12/1.33 (define @t156 () (_ @t155 @t154)) % 1.12/1.33 (define @t157 () (_ @t5 @t156)) % 1.12/1.33 (define @t158 () (=> @t144 @t157)) % 1.12/1.33 (define @t159 () (@list @t2 @t143 @t4)) % 1.12/1.33 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.12/1.33 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.12/1.33 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.12/1.33 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.12/1.33 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.12/1.33 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.12/1.33 (define @t166 () (=> @t153 @t129)) % 1.12/1.33 (define @t167 () (forall @t70 @t166)) % 1.12/1.33 (define @t168 () (and @t144 @t167)) % 1.12/1.33 (define @t169 () (exists @t9 @t168)) % 1.12/1.33 (define @t170 () (=> @t148 @t169)) % 1.12/1.33 (define @t171 () (forall @t150 @t170)) % 1.12/1.33 (define @t172 () (= tptp.exuE1 @t171)) % 1.12/1.33 (define @t173 () (@var "Xphi" Bool)) % 1.12/1.33 (define @t174 () (_ tptp.prop2set @t173)) % 1.12/1.33 (define @t175 () (_ @t5 @t174)) % 1.12/1.33 (define @t176 () (@list @t173 @t4)) % 1.12/1.33 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.12/1.33 (define @t178 () (= tptp.prop2setE @t177)) % 1.12/1.33 (define @t179 () (@list @t173)) % 1.12/1.33 (define @t180 () (forall @t179 @t173)) % 1.12/1.33 (define @t181 () (=> @t15 @t180)) % 1.12/1.33 (define @t182 () (forall @t9 @t181)) % 1.12/1.33 (define @t183 () (= tptp.emptysetE @t182)) % 1.12/1.33 (define @t184 () (forall @t9 (=> @t15 false))) % 1.12/1.33 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.12/1.33 (define @t186 () (exists @t9 @t144)) % 1.12/1.33 (define @t187 () (=> @t148 @t186)) % 1.12/1.33 (define @t188 () (forall @t150 @t187)) % 1.12/1.33 (define @t189 () (= tptp.exuE3e @t188)) % 1.12/1.33 (define @t190 () (=> @t32 @t3)) % 1.12/1.33 (define @t191 () (=> @t7 @t6)) % 1.12/1.33 (define @t192 () (forall @t9 @t191)) % 1.12/1.33 (define @t193 () (=> @t192 @t190)) % 1.12/1.33 (define @t194 () (forall @t12 @t193)) % 1.12/1.33 (define @t195 () (= tptp.setext @t194)) % 1.12/1.33 (define @t196 () (= @t2 tptp.emptyset)) % 1.12/1.33 (define @t197 () (not @t7)) % 1.12/1.33 (define @t198 () (forall @t9 @t197)) % 1.12/1.33 (define @t199 () (=> @t198 @t196)) % 1.12/1.33 (define @t200 () (forall @t64 @t199)) % 1.12/1.33 (define @t201 () (= tptp.emptyI @t200)) % 1.12/1.33 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.12/1.33 (define @t203 () (forall @t159 @t202)) % 1.12/1.33 (define @t204 () (= tptp.setbeta @t203)) % 1.12/1.33 (define @t205 () (_ tptp.nonempty @t2)) % 1.12/1.33 (define @t206 () (=> @t205 @t89)) % 1.12/1.33 (define @t207 () (forall @t64 @t206)) % 1.12/1.33 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.12/1.33 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.12/1.33 (define @t210 () (=> @t7 @t209)) % 1.12/1.33 (define @t211 () (forall @t159 @t210)) % 1.12/1.33 (define @t212 () (= tptp.nonemptyI @t211)) % 1.12/1.33 (define @t213 () (=> @t89 @t205)) % 1.12/1.33 (define @t214 () (forall @t64 @t213)) % 1.12/1.33 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.12/1.33 (define @t216 () (_ @t24 @t19)) % 1.12/1.33 (define @t217 () (_ @t5 @t216)) % 1.12/1.33 (define @t218 () (forall @t135 @t217)) % 1.12/1.33 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.12/1.33 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.12/1.33 (define @t221 () (_ @t49 @t220)) % 1.12/1.33 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.12/1.33 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.12/1.33 (define @t224 () (=> @t21 @t173)) % 1.12/1.33 (define @t225 () (=> @t224 @t173)) % 1.12/1.33 (define @t226 () (=> @t22 @t173)) % 1.12/1.33 (define @t227 () (=> @t226 @t225)) % 1.12/1.33 (define @t228 () (forall @t179 @t227)) % 1.12/1.33 (define @t229 () (=> @t26 @t228)) % 1.12/1.33 (define @t230 () (forall @t28 @t229)) % 1.12/1.33 (define @t231 () (= tptp.setadjoinE @t230)) % 1.12/1.33 (define @t232 () (=> @t26 @t23)) % 1.12/1.33 (define @t233 () (forall @t28 @t232)) % 1.12/1.33 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.12/1.33 (define @t235 () (lambda @t9 true)) % 1.12/1.33 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.12/1.33 (define @t237 () (forall @t64 @t236)) % 1.12/1.33 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.12/1.33 (define @t239 () (=> @t32 @t35)) % 1.12/1.33 (define @t240 () (forall @t12 @t239)) % 1.12/1.33 (define @t241 () (= tptp.powersetI @t240)) % 1.12/1.33 (define @t242 () (_ @t49 @t33)) % 1.12/1.33 (define @t243 () (forall @t64 @t242)) % 1.12/1.33 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.12/1.33 (define @t245 () (@list @t2 @t1 @t4)) % 1.12/1.33 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.12/1.33 (define @t247 () (= tptp.powersetE @t246)) % 1.12/1.33 (define @t248 () (=> @t39 @t44)) % 1.12/1.33 (define @t249 () (@list @t2 @t4 @t1)) % 1.12/1.33 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.12/1.33 (define @t251 () (= tptp.setunionI @t250)) % 1.12/1.33 (define @t252 () (=> @t39 @t173)) % 1.12/1.33 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.12/1.33 (define @t254 () (=> @t253 @t173)) % 1.12/1.33 (define @t255 () (forall @t179 @t254)) % 1.12/1.33 (define @t256 () (=> @t44 @t255)) % 1.12/1.33 (define @t257 () (forall @t46 @t256)) % 1.12/1.33 (define @t258 () (= tptp.setunionE @t257)) % 1.12/1.33 (define @t259 () (_ tptp.powerset @t43)) % 1.12/1.33 (define @t260 () (_ @t5 @t259)) % 1.12/1.33 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.12/1.33 (define @t262 () (= tptp.subPowSU @t261)) % 1.12/1.33 (define @t263 () (= @t153 @t22)) % 1.12/1.33 (define @t264 () (forall @t70 @t263)) % 1.12/1.33 (define @t265 () (exists @t9 @t264)) % 1.12/1.33 (define @t266 () (=> @t148 @t265)) % 1.12/1.33 (define @t267 () (forall @t150 @t266)) % 1.12/1.33 (define @t268 () (= tptp.exuE2 @t267)) % 1.12/1.33 (define @t269 () (and @t7 true)) % 1.12/1.33 (define @t270 () (exists @t9 @t269)) % 1.12/1.33 (define @t271 () (=> @t205 @t270)) % 1.12/1.33 (define @t272 () (forall @t64 @t271)) % 1.12/1.33 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.12/1.33 (define @t274 () (_ tptp.setadjoin @t19)) % 1.12/1.33 (define @t275 () (_ @t274 tptp.emptyset)) % 1.12/1.33 (define @t276 () (_ @t5 @t275)) % 1.12/1.33 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.12/1.33 (define @t278 () (= tptp.uniqinunit @t277)) % 1.12/1.33 (define @t279 () (_ @t24 tptp.emptyset)) % 1.12/1.33 (define @t280 () (_ @t20 @t279)) % 1.12/1.33 (define @t281 () (not @t280)) % 1.12/1.33 (define @t282 () (not @t129)) % 1.12/1.33 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.12/1.33 (define @t284 () (= tptp.notinsingleton @t283)) % 1.12/1.33 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.12/1.33 (define @t286 () (= tptp.eqinunit @t285)) % 1.12/1.33 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.12/1.33 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.12/1.33 (define @t289 () (@var "Xz" $$unsorted)) % 1.12/1.33 (define @t290 () (= @t289 @t19)) % 1.12/1.33 (define @t291 () (= @t289 @t4)) % 1.12/1.33 (define @t292 () (or @t291 @t290)) % 1.12/1.33 (define @t293 () (_ @t24 @t275)) % 1.12/1.33 (define @t294 () (_ tptp.in @t289)) % 1.12/1.33 (define @t295 () (_ @t294 @t293)) % 1.12/1.33 (define @t296 () (=> @t295 @t292)) % 1.12/1.33 (define @t297 () (@list @t4 @t19 @t289)) % 1.12/1.33 (define @t298 () (forall @t297 @t296)) % 1.12/1.33 (define @t299 () (= tptp.upairsetE @t298)) % 1.12/1.33 (define @t300 () (_ @t5 @t293)) % 1.12/1.33 (define @t301 () (forall @t135 @t300)) % 1.12/1.33 (define @t302 () (= tptp.upairsetIL @t301)) % 1.12/1.33 (define @t303 () (_ @t20 @t293)) % 1.12/1.33 (define @t304 () (forall @t135 @t303)) % 1.12/1.33 (define @t305 () (= tptp.upairsetIR @t304)) % 1.12/1.33 (define @t306 () (_ @t155 @t145)) % 1.12/1.33 (define @t307 () (= @t306 tptp.emptyset)) % 1.12/1.33 (define @t308 () (and @t7 @t144)) % 1.12/1.33 (define @t309 () (exists @t9 @t308)) % 1.12/1.33 (define @t310 () (=> @t309 (=> @t307 false))) % 1.12/1.33 (define @t311 () (@list @t2 @t143)) % 1.12/1.33 (define @t312 () (forall @t311 @t310)) % 1.12/1.33 (define @t313 () (= tptp.emptyE1 @t312)) % 1.12/1.33 (define @t314 () (@list @t143 @t4)) % 1.12/1.33 (define @t315 () (forall @t314 (=> @t15 @t144))) % 1.12/1.33 (define @t316 () (= tptp.vacuousDall @t315)) % 1.12/1.33 (define @t317 () (not @t144)) % 1.12/1.33 (define @t318 () (and @t7 @t317)) % 1.12/1.33 (define @t319 () (exists @t9 @t318)) % 1.12/1.33 (define @t320 () (forall @t9 (=> @t7 @t144))) % 1.12/1.33 (define @t321 () (not @t320)) % 1.12/1.33 (define @t322 () (=> @t321 @t319)) % 1.12/1.33 (define @t323 () (forall @t311 @t322)) % 1.12/1.33 (define @t324 () (= tptp.quantDeMorgan1 @t323)) % 1.12/1.33 (define @t325 () (not @t309)) % 1.12/1.33 (define @t326 () (forall @t9 (=> @t7 @t317))) % 1.12/1.33 (define @t327 () (=> @t326 @t325)) % 1.12/1.33 (define @t328 () (forall @t311 @t327)) % 1.12/1.33 (define @t329 () (= tptp.quantDeMorgan2 @t328)) % 1.12/1.33 (define @t330 () (=> @t325 @t326)) % 1.12/1.33 (define @t331 () (forall @t311 @t330)) % 1.12/1.33 (define @t332 () (= tptp.quantDeMorgan3 @t331)) % 1.12/1.33 (define @t333 () (=> @t319 @t321)) % 1.12/1.33 (define @t334 () (forall @t311 @t333)) % 1.12/1.33 (define @t335 () (= tptp.quantDeMorgan4 @t334)) % 1.12/1.33 (define @t336 () (_ @t49 @t174)) % 1.12/1.33 (define @t337 () (forall @t179 (=> @t173 @t336))) % 1.12/1.33 (define @t338 () (= tptp.prop2setI @t337)) % 1.12/1.33 (define @t339 () (_ tptp.set2prop @t174)) % 1.12/1.33 (define @t340 () (forall @t179 (=> @t173 @t339))) % 1.12/1.33 (define @t341 () (= tptp.prop2set2propI @t340)) % 1.12/1.33 (define @t342 () (=> @t169 @t148)) % 1.12/1.33 (define @t343 () (forall @t150 @t342)) % 1.12/1.33 (define @t344 () (= tptp.exuI1 @t343)) % 1.12/1.33 (define @t345 () (=> @t144 @t166)) % 1.12/1.33 (define @t346 () (forall @t135 @t345)) % 1.12/1.33 (define @t347 () (=> @t346 @t148)) % 1.12/1.33 (define @t348 () (=> @t186 @t347)) % 1.12/1.33 (define @t349 () (forall @t150 @t348)) % 1.12/1.33 (define @t350 () (= tptp.exuI3 @t349)) % 1.12/1.33 (define @t351 () (=> @t265 @t148)) % 1.12/1.33 (define @t352 () (forall @t150 @t351)) % 1.12/1.33 (define @t353 () (= tptp.exuI2 @t352)) % 1.12/1.33 (define @t354 () (_ @t20 @t1)) % 1.12/1.33 (define @t355 () (=> @t7 @t354)) % 1.12/1.33 (define @t356 () (forall @t135 (=> @t129 @t355))) % 1.12/1.33 (define @t357 () (=> @t3 @t356)) % 1.12/1.33 (define @t358 () (forall @t12 @t357)) % 1.12/1.33 (define @t359 () (= tptp.inCongP @t358)) % 1.12/1.33 (define @t360 () (= @t7 @t354)) % 1.12/1.33 (define @t361 () (forall @t135 (=> @t129 @t360))) % 1.12/1.33 (define @t362 () (=> @t3 @t361)) % 1.12/1.33 (define @t363 () (forall @t12 @t362)) % 1.12/1.33 (define @t364 () (= tptp.in__Cong @t363)) % 1.12/1.33 (define @t365 () (=> @t148 @t346)) % 1.12/1.33 (define @t366 () (forall @t150 @t365)) % 1.12/1.33 (define @t367 () (= tptp.exuE3u @t366)) % 1.12/1.33 (define @t368 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.12/1.33 (define @t369 () (_ @t368 @t4)) % 1.12/1.33 (define @t370 () (lambda @t9 @t369)) % 1.12/1.33 (define @t371 () (_ tptp.exu @t370)) % 1.12/1.33 (define @t372 () (= @t148 @t371)) % 1.12/1.33 (define @t373 () (_ @t368 @t19)) % 1.12/1.33 (define @t374 () (= @t144 @t373)) % 1.12/1.33 (define @t375 () (=> @t129 @t374)) % 1.12/1.33 (define @t376 () (forall @t135 @t375)) % 1.12/1.33 (define @t377 () (=> @t376 @t372)) % 1.12/1.33 (define @t378 () (@list @t143 @t368)) % 1.12/1.33 (define @t379 () (forall @t378 @t377)) % 1.12/1.33 (define @t380 () (= tptp.exu__Cong @t379)) % 1.12/1.33 (define @t381 () (= tptp.emptyset tptp.emptyset)) % 1.12/1.33 (define @t382 () (= tptp.emptyset__Cong @t381)) % 1.12/1.33 (define @t383 () (@var "Xu" $$unsorted)) % 1.12/1.33 (define @t384 () (_ @t274 @t383)) % 1.12/1.33 (define @t385 () (_ @t24 @t289)) % 1.12/1.33 (define @t386 () (= @t385 @t384)) % 1.12/1.33 (define @t387 () (= @t289 @t383)) % 1.12/1.33 (define @t388 () (@list @t289 @t383)) % 1.12/1.33 (define @t389 () (forall @t388 (=> @t387 @t386))) % 1.12/1.33 (define @t390 () (=> @t129 @t389)) % 1.12/1.33 (define @t391 () (forall @t135 @t390)) % 1.12/1.33 (define @t392 () (= tptp.setadjoin__Cong @t391)) % 1.12/1.33 (define @t393 () (_ tptp.powerset @t1)) % 1.12/1.33 (define @t394 () (= @t33 @t393)) % 1.12/1.33 (define @t395 () (forall @t12 (=> @t3 @t394))) % 1.12/1.33 (define @t396 () (= tptp.powerset__Cong @t395)) % 1.12/1.33 (define @t397 () (_ tptp.setunion @t1)) % 1.12/1.33 (define @t398 () (= @t43 @t397)) % 1.12/1.33 (define @t399 () (forall @t12 (=> @t3 @t398))) % 1.12/1.33 (define @t400 () (= tptp.setunion__Cong @t399)) % 1.12/1.33 (define @t401 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.12/1.33 (define @t402 () (= tptp.exuEu @t366)) % 1.12/1.33 (define @t403 () (_ tptp.descr @t370)) % 1.12/1.33 (define @t404 () (= @t146 @t403)) % 1.12/1.33 (define @t405 () (=> @t371 @t404)) % 1.12/1.33 (define @t406 () (=> @t148 @t405)) % 1.12/1.33 (define @t407 () (=> @t376 @t406)) % 1.12/1.33 (define @t408 () (forall @t378 @t407)) % 1.12/1.33 (define @t409 () (= tptp.descr__Cong @t408)) % 1.12/1.33 (define @t410 () (_ tptp.dsetconstr @t1)) % 1.12/1.33 (define @t411 () (_ @t410 @t370)) % 1.12/1.33 (define @t412 () (= @t306 @t411)) % 1.12/1.33 (define @t413 () (forall @t70 (=> @t354 @t375))) % 1.12/1.33 (define @t414 () (=> @t7 @t413)) % 1.12/1.33 (define @t415 () (forall @t9 @t414)) % 1.12/1.33 (define @t416 () (=> @t415 @t412)) % 1.12/1.33 (define @t417 () (forall @t378 @t416)) % 1.12/1.33 (define @t418 () (=> @t3 @t417)) % 1.12/1.33 (define @t419 () (forall @t12 @t418)) % 1.12/1.33 (define @t420 () (= tptp.dsetconstr__Cong @t419)) % 1.12/1.33 (define @t421 () (_ tptp.subset @t2)) % 1.12/1.33 (define @t422 () (_ @t421 @t1)) % 1.12/1.33 (define @t423 () (=> @t192 @t422)) % 1.12/1.33 (define @t424 () (forall @t12 @t423)) % 1.12/1.33 (define @t425 () (= tptp.subsetI1 @t424)) % 1.12/1.33 (define @t426 () (_ tptp.subset @t1)) % 1.12/1.33 (define @t427 () (_ @t426 @t2)) % 1.12/1.33 (define @t428 () (forall @t12 (=> @t3 @t427))) % 1.12/1.33 (define @t429 () (= tptp.eqimpsubset2 @t428)) % 1.12/1.33 (define @t430 () (forall @t12 (=> @t3 @t422))) % 1.12/1.33 (define @t431 () (= tptp.eqimpsubset1 @t430)) % 1.12/1.33 (define @t432 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.12/1.33 (define @t433 () (forall @t64 @t432)) % 1.12/1.33 (define @t434 () (= tptp.emptysetsubset @t433)) % 1.12/1.33 (define @t435 () (forall @t245 (=> @t422 @t191))) % 1.12/1.33 (define @t436 () (= tptp.subsetE @t435)) % 1.12/1.33 (define @t437 () (not @t6)) % 1.12/1.33 (define @t438 () (=> @t437 @t197)) % 1.12/1.33 (define @t439 () (forall @t245 (=> @t422 @t438))) % 1.12/1.33 (define @t440 () (= tptp.subsetE2 @t439)) % 1.12/1.33 (define @t441 () (not @t422)) % 1.12/1.33 (define @t442 () (=> @t437 @t441)) % 1.12/1.33 (define @t443 () (forall @t245 (=> @t7 @t442))) % 1.12/1.33 (define @t444 () (= tptp.notsubsetI @t443)) % 1.12/1.33 (define @t445 () (not @t3)) % 1.12/1.33 (define @t446 () (forall @t12 (=> @t441 @t445))) % 1.12/1.33 (define @t447 () (= tptp.notequalI1 @t446)) % 1.12/1.33 (define @t448 () (=> @t437 @t445)) % 1.12/1.33 (define @t449 () (forall @t245 (=> @t7 @t448))) % 1.12/1.33 (define @t450 () (= tptp.notequalI2 @t449)) % 1.12/1.33 (define @t451 () (_ @t421 @t2)) % 1.12/1.33 (define @t452 () (forall @t64 @t451)) % 1.12/1.33 (define @t453 () (= tptp.subsetRefl @t452)) % 1.12/1.33 (define @t454 () (_ @t421 @t104)) % 1.12/1.33 (define @t455 () (_ @t426 @t104)) % 1.12/1.33 (define @t456 () (=> @t455 @t454)) % 1.12/1.33 (define @t457 () (@list @t2 @t1 @t104)) % 1.12/1.33 (define @t458 () (forall @t457 (=> @t422 @t456))) % 1.12/1.33 (define @t459 () (= tptp.subsetTrans @t458)) % 1.12/1.33 (define @t460 () (_ @t421 @t25)) % 1.12/1.33 (define @t461 () (@list @t4 @t2)) % 1.12/1.33 (define @t462 () (forall @t461 @t460)) % 1.12/1.33 (define @t463 () (= tptp.setadjoinSub @t462)) % 1.12/1.33 (define @t464 () (_ @t24 @t1)) % 1.12/1.33 (define @t465 () (_ @t421 @t464)) % 1.12/1.33 (define @t466 () (forall @t249 (=> @t422 @t465))) % 1.12/1.33 (define @t467 () (= tptp.setadjoinSub2 @t466)) % 1.12/1.33 (define @t468 () (_ tptp.in @t2)) % 1.12/1.33 (define @t469 () (_ @t468 @t393)) % 1.12/1.33 (define @t470 () (forall @t12 (=> @t422 @t469))) % 1.12/1.33 (define @t471 () (= tptp.subset2powerset @t470)) % 1.12/1.33 (define @t472 () (=> @t427 @t3)) % 1.12/1.33 (define @t473 () (forall @t12 (=> @t422 @t472))) % 1.12/1.33 (define @t474 () (= tptp.setextsub @t473)) % 1.12/1.33 (define @t475 () (_ @t421 tptp.emptyset)) % 1.12/1.33 (define @t476 () (forall @t64 (=> @t475 @t196))) % 1.12/1.33 (define @t477 () (= tptp.subsetemptysetimpeq @t476)) % 1.12/1.33 (define @t478 () (forall @t12 (=> @t427 @t35))) % 1.12/1.33 (define @t479 () (= tptp.powersetI1 @t478)) % 1.12/1.33 (define @t480 () (forall @t12 (=> @t35 @t427))) % 1.12/1.33 (define @t481 () (= tptp.powersetE1 @t480)) % 1.12/1.33 (define @t482 () (_ @t468 @t33)) % 1.12/1.33 (define @t483 () (forall @t64 @t482)) % 1.12/1.33 (define @t484 () (= tptp.inPowerset @t483)) % 1.12/1.33 (define @t485 () (_ (_ tptp.subset @t33) @t393)) % 1.12/1.33 (define @t486 () (forall @t12 (=> @t422 @t485))) % 1.12/1.33 (define @t487 () (= tptp.powersetsubset @t486)) % 1.12/1.33 (define @t488 () (_ (_ tptp.in @t306) @t33)) % 1.12/1.33 (define @t489 () (forall @t311 @t488)) % 1.12/1.33 (define @t490 () (= tptp.sepInPowerset @t489)) % 1.12/1.33 (define @t491 () (_ (_ tptp.subset @t306) @t2)) % 1.12/1.33 (define @t492 () (forall @t311 @t491)) % 1.12/1.33 (define @t493 () (= tptp.sepSubset @t492)) % 1.12/1.33 (define @t494 () (_ (_ tptp.binunion @t2) @t1)) % 1.12/1.33 (define @t495 () (_ @t5 @t494)) % 1.12/1.33 (define @t496 () (forall @t245 (=> @t7 @t495))) % 1.12/1.33 (define @t497 () (= tptp.binunionIL @t496)) % 1.12/1.33 (define @t498 () (forall @t245 (=> @t6 @t495))) % 1.12/1.33 (define @t499 () (= tptp.binunionIR @t498)) % 1.12/1.33 (define @t500 () (=> @t6 @t173)) % 1.12/1.33 (define @t501 () (=> @t500 @t173)) % 1.12/1.33 (define @t502 () (=> @t7 @t173)) % 1.12/1.33 (define @t503 () (=> @t502 @t501)) % 1.12/1.33 (define @t504 () (@list @t2 @t1 @t4 @t173)) % 1.12/1.33 (define @t505 () (forall @t504 (=> @t495 @t503))) % 1.12/1.33 (define @t506 () (= tptp.binunionEcases @t505)) % 1.12/1.33 (define @t507 () (or @t7 @t6)) % 1.12/1.33 (define @t508 () (forall @t245 (=> @t495 @t507))) % 1.12/1.33 (define @t509 () (= tptp.binunionE @t508)) % 1.12/1.33 (define @t510 () (_ @t421 @t494)) % 1.12/1.33 (define @t511 () (forall @t12 @t510)) % 1.12/1.33 (define @t512 () (= tptp.binunionLsub @t511)) % 1.12/1.33 (define @t513 () (_ @t426 @t494)) % 1.12/1.33 (define @t514 () (forall @t12 @t513)) % 1.12/1.33 (define @t515 () (= tptp.binunionRsub @t514)) % 1.12/1.33 (define @t516 () (_ tptp.binintersect @t2)) % 1.12/1.33 (define @t517 () (_ @t516 @t1)) % 1.12/1.33 (define @t518 () (_ @t5 @t517)) % 1.12/1.33 (define @t519 () (=> @t6 @t518)) % 1.12/1.33 (define @t520 () (forall @t245 (=> @t7 @t519))) % 1.12/1.33 (define @t521 () (= tptp.binintersectI @t520)) % 1.12/1.33 (define @t522 () (_ tptp.subset @t104)) % 1.12/1.33 (define @t523 () (_ @t522 @t517)) % 1.12/1.33 (define @t524 () (_ @t522 @t1)) % 1.12/1.33 (define @t525 () (=> @t524 @t523)) % 1.12/1.33 (define @t526 () (_ @t522 @t2)) % 1.12/1.33 (define @t527 () (forall @t457 (=> @t526 @t525))) % 1.12/1.33 (define @t528 () (= tptp.binintersectSubset5 @t527)) % 1.12/1.33 (define @t529 () (forall @t245 (=> @t518 @t7))) % 1.12/1.33 (define @t530 () (= tptp.binintersectEL @t529)) % 1.12/1.33 (define @t531 () (_ tptp.subset @t517)) % 1.12/1.33 (define @t532 () (_ @t531 @t2)) % 1.12/1.33 (define @t533 () (forall @t12 @t532)) % 1.12/1.33 (define @t534 () (= tptp.binintersectLsub @t533)) % 1.12/1.33 (define @t535 () (= @t517 @t2)) % 1.12/1.33 (define @t536 () (=> @t422 @t535)) % 1.12/1.33 (define @t537 () (forall @t12 @t536)) % 1.12/1.33 (define @t538 () (= tptp.binintersectSubset2 @t537)) % 1.12/1.33 (define @t539 () (= @t517 @t1)) % 1.12/1.33 (define @t540 () (=> @t539 @t427)) % 1.12/1.33 (define @t541 () (forall @t12 @t540)) % 1.12/1.33 (define @t542 () (= tptp.binintersectSubset3 @t541)) % 1.12/1.33 (define @t543 () (forall @t245 (=> @t518 @t6))) % 1.12/1.33 (define @t544 () (= tptp.binintersectER @t543)) % 1.12/1.33 (define @t545 () (and @t7 @t6)) % 1.12/1.33 (define @t546 () (exists @t9 @t545)) % 1.12/1.33 (define @t547 () (not @t546)) % 1.12/1.33 (define @t548 () (=> @t547 (= @t517 tptp.emptyset))) % 1.12/1.33 (define @t549 () (forall @t12 @t548)) % 1.12/1.33 (define @t550 () (= tptp.disjointsetsI1 @t549)) % 1.12/1.33 (define @t551 () (_ @t531 @t1)) % 1.12/1.33 (define @t552 () (forall @t12 @t551)) % 1.12/1.33 (define @t553 () (= tptp.binintersectRsub @t552)) % 1.12/1.33 (define @t554 () (=> @t427 @t539)) % 1.12/1.33 (define @t555 () (forall @t12 @t554)) % 1.12/1.33 (define @t556 () (= tptp.binintersectSubset4 @t555)) % 1.12/1.33 (define @t557 () (=> @t535 @t422)) % 1.12/1.33 (define @t558 () (forall @t12 @t557)) % 1.12/1.33 (define @t559 () (= tptp.binintersectSubset1 @t558)) % 1.12/1.33 (define @t560 () (_ @t516 @t104)) % 1.12/1.33 (define @t561 () (_ (_ tptp.binunion @t517) @t560)) % 1.12/1.33 (define @t562 () (_ (_ tptp.binunion @t1) @t104)) % 1.12/1.33 (define @t563 () (_ @t516 @t562)) % 1.12/1.33 (define @t564 () (= @t563 @t561)) % 1.12/1.33 (define @t565 () (forall @t457 @t564)) % 1.12/1.33 (define @t566 () (= tptp.bs114d @t565)) % 1.12/1.33 (define @t567 () (_ (_ tptp.setminus @t2) @t1)) % 1.12/1.33 (define @t568 () (_ @t5 @t567)) % 1.12/1.33 (define @t569 () (=> @t437 @t568)) % 1.12/1.33 (define @t570 () (forall @t245 (=> @t7 @t569))) % 1.12/1.33 (define @t571 () (= tptp.setminusI @t570)) % 1.12/1.33 (define @t572 () (forall @t245 (=> @t568 @t7))) % 1.12/1.33 (define @t573 () (= tptp.setminusEL @t572)) % 1.12/1.33 (define @t574 () (forall @t245 (=> @t568 @t437))) % 1.12/1.33 (define @t575 () (= tptp.setminusER @t574)) % 1.12/1.33 (define @t576 () (= @t567 tptp.emptyset)) % 1.12/1.33 (define @t577 () (=> @t422 @t576)) % 1.12/1.33 (define @t578 () (forall @t12 @t577)) % 1.12/1.33 (define @t579 () (= tptp.setminusSubset2 @t578)) % 1.12/1.33 (define @t580 () (not @t568)) % 1.12/1.33 (define @t581 () (forall @t245 (=> @t580 @t191))) % 1.12/1.33 (define @t582 () (= tptp.setminusERneg @t581)) % 1.12/1.33 (define @t583 () (forall @t245 (=> @t580 @t438))) % 1.12/1.33 (define @t584 () (= tptp.setminusELneg @t583)) % 1.12/1.33 (define @t585 () (forall @t245 (=> @t197 @t580))) % 1.12/1.33 (define @t586 () (= tptp.setminusILneg @t585)) % 1.12/1.33 (define @t587 () (forall @t245 (=> @t6 @t580))) % 1.12/1.33 (define @t588 () (= tptp.setminusIRneg @t587)) % 1.12/1.33 (define @t589 () (_ (_ tptp.subset @t567) @t2)) % 1.12/1.33 (define @t590 () (forall @t12 @t589)) % 1.12/1.33 (define @t591 () (= tptp.setminusLsub @t590)) % 1.12/1.33 (define @t592 () (=> @t576 @t422)) % 1.12/1.33 (define @t593 () (forall @t12 @t592)) % 1.12/1.33 (define @t594 () (= tptp.setminusSubset1 @t593)) % 1.12/1.33 (define @t595 () (=> @t197 @t500)) % 1.12/1.33 (define @t596 () (=> @t595 @t173)) % 1.12/1.33 (define @t597 () (=> @t437 @t173)) % 1.12/1.33 (define @t598 () (=> @t7 @t597)) % 1.12/1.33 (define @t599 () (forall @t179 (=> @t598 @t596))) % 1.12/1.33 (define @t600 () (_ (_ tptp.symdiff @t2) @t1)) % 1.12/1.33 (define @t601 () (_ @t5 @t600)) % 1.12/1.33 (define @t602 () (=> @t601 @t599)) % 1.12/1.33 (define @t603 () (forall @t245 @t602)) % 1.12/1.33 (define @t604 () (= tptp.symdiffE @t603)) % 1.12/1.33 (define @t605 () (=> @t437 @t601)) % 1.12/1.33 (define @t606 () (forall @t245 (=> @t7 @t605))) % 1.12/1.33 (define @t607 () (= tptp.symdiffI1 @t606)) % 1.12/1.33 (define @t608 () (=> @t6 @t601)) % 1.12/1.33 (define @t609 () (forall @t245 (=> @t197 @t608))) % 1.12/1.33 (define @t610 () (= tptp.symdiffI2 @t609)) % 1.12/1.33 (define @t611 () (not @t601)) % 1.12/1.33 (define @t612 () (=> @t6 @t611)) % 1.12/1.33 (define @t613 () (forall @t245 (=> @t7 @t612))) % 1.12/1.33 (define @t614 () (= tptp.symdiffIneg1 @t613)) % 1.12/1.33 (define @t615 () (=> @t437 @t611)) % 1.12/1.33 (define @t616 () (forall @t245 (=> @t197 @t615))) % 1.12/1.33 (define @t617 () (= tptp.symdiffIneg2 @t616)) % 1.12/1.33 (define @t618 () (_ (_ tptp.setadjoin @t293) tptp.emptyset)) % 1.12/1.33 (define @t619 () (_ tptp.setadjoin @t279)) % 1.12/1.33 (define @t620 () (_ @t619 @t618)) % 1.12/1.33 (define @t621 () (_ tptp.setunion @t620)) % 1.12/1.33 (define @t622 () (_ @t5 @t621)) % 1.12/1.33 (define @t623 () (forall @t135 @t622)) % 1.12/1.33 (define @t624 () (= tptp.setukpairIL @t623)) % 1.12/1.33 (define @t625 () (_ @t20 @t621)) % 1.12/1.33 (define @t626 () (forall @t135 @t625)) % 1.12/1.33 (define @t627 () (= tptp.setukpairIR @t626)) % 1.12/1.33 (define @t628 () (_ tptp.iskpair @t620)) % 1.12/1.33 (define @t629 () (forall @t135 @t628)) % 1.12/1.33 (define @t630 () (= tptp.kpairiskpair @t629)) % 1.12/1.33 (define @t631 () (_ tptp.kpair @t4)) % 1.12/1.33 (define @t632 () (_ @t631 @t19)) % 1.12/1.33 (define @t633 () (_ tptp.iskpair @t632)) % 1.12/1.33 (define @t634 () (forall @t135 @t633)) % 1.12/1.33 (define @t635 () (= tptp.kpairp @t634)) % 1.12/1.33 (define @t636 () (_ (_ tptp.subset @t279) @t2)) % 1.12/1.33 (define @t637 () (forall @t46 (=> @t7 @t636))) % 1.12/1.33 (define @t638 () (= tptp.singletonsubset @t637)) % 1.12/1.33 (define @t639 () (_ tptp.in @t279)) % 1.12/1.33 (define @t640 () (_ @t639 @t33)) % 1.12/1.33 (define @t641 () (forall @t46 (=> @t7 @t640))) % 1.12/1.33 (define @t642 () (= tptp.singletoninpowerset @t641)) % 1.12/1.33 (define @t643 () (_ tptp.powerset @t494)) % 1.12/1.33 (define @t644 () (_ @t639 @t643)) % 1.12/1.33 (define @t645 () (forall @t245 (=> @t7 @t644))) % 1.12/1.33 (define @t646 () (= tptp.singletoninpowunion @t645)) % 1.12/1.33 (define @t647 () (_ (_ tptp.subset @t293) @t494)) % 1.12/1.33 (define @t648 () (forall @t70 (=> @t354 @t647))) % 1.12/1.33 (define @t649 () (=> @t7 @t648)) % 1.12/1.33 (define @t650 () (forall @t245 @t649)) % 1.12/1.33 (define @t651 () (= tptp.upairsubunion @t650)) % 1.12/1.33 (define @t652 () (_ (_ tptp.in @t293) @t643)) % 1.12/1.33 (define @t653 () (forall @t70 (=> @t354 @t652))) % 1.12/1.33 (define @t654 () (=> @t7 @t653)) % 1.12/1.33 (define @t655 () (forall @t245 @t654)) % 1.12/1.33 (define @t656 () (= tptp.upairinpowunion @t655)) % 1.12/1.33 (define @t657 () (_ (_ tptp.subset @t620) @t643)) % 1.12/1.33 (define @t658 () (forall @t70 (=> @t354 @t657))) % 1.12/1.33 (define @t659 () (=> @t7 @t658)) % 1.12/1.33 (define @t660 () (forall @t245 @t659)) % 1.12/1.33 (define @t661 () (= tptp.ubforcartprodlem1 @t660)) % 1.12/1.33 (define @t662 () (_ tptp.powerset @t643)) % 1.12/1.33 (define @t663 () (_ (_ tptp.in @t620) @t662)) % 1.12/1.33 (define @t664 () (forall @t70 (=> @t354 @t663))) % 1.12/1.33 (define @t665 () (=> @t7 @t664)) % 1.12/1.33 (define @t666 () (forall @t245 @t665)) % 1.12/1.33 (define @t667 () (= tptp.ubforcartprodlem2 @t666)) % 1.12/1.33 (define @t668 () (_ tptp.in @t632)) % 1.12/1.33 (define @t669 () (_ @t668 @t662)) % 1.12/1.33 (define @t670 () (forall @t70 (=> @t354 @t669))) % 1.12/1.33 (define @t671 () (=> @t7 @t670)) % 1.12/1.33 (define @t672 () (forall @t245 @t671)) % 1.12/1.33 (define @t673 () (= tptp.ubforcartprodlem3 @t672)) % 1.12/1.33 (define @t674 () (_ (_ tptp.cartprod @t2) @t1)) % 1.12/1.33 (define @t675 () (_ @t668 @t674)) % 1.12/1.33 (define @t676 () (forall @t70 (=> @t354 @t675))) % 1.12/1.33 (define @t677 () (=> @t7 @t676)) % 1.12/1.33 (define @t678 () (forall @t245 @t677)) % 1.12/1.33 (define @t679 () (= tptp.cartprodpairin @t678)) % 1.12/1.33 (define @t680 () (= @t383 @t632)) % 1.12/1.33 (define @t681 () (and @t354 @t680)) % 1.12/1.33 (define @t682 () (exists @t70 @t681)) % 1.12/1.33 (define @t683 () (and @t7 @t682)) % 1.12/1.33 (define @t684 () (exists @t9 @t683)) % 1.12/1.33 (define @t685 () (_ tptp.in @t383)) % 1.12/1.33 (define @t686 () (_ @t685 @t674)) % 1.12/1.33 (define @t687 () (=> @t686 @t684)) % 1.12/1.33 (define @t688 () (@list @t2 @t1 @t383)) % 1.12/1.33 (define @t689 () (forall @t688 @t687)) % 1.12/1.33 (define @t690 () (= tptp.cartprodmempair1 @t689)) % 1.12/1.33 (define @t691 () (_ tptp.iskpair @t383)) % 1.12/1.33 (define @t692 () (forall @t688 (=> @t686 @t691))) % 1.12/1.33 (define @t693 () (= tptp.cartprodmempair @t692)) % 1.12/1.33 (define @t694 () (@var "X" $$unsorted)) % 1.12/1.33 (define @t695 () (_ @t5 @t694)) % 1.12/1.33 (define @t696 () (_ tptp.in @t694)) % 1.12/1.33 (define @t697 () (_ @t696 @t2)) % 1.12/1.33 (define @t698 () (and @t697 @t695)) % 1.12/1.33 (define @t699 () (@list @t694)) % 1.12/1.33 (define @t700 () (exists @t699 @t698)) % 1.12/1.33 (define @t701 () (=> @t44 @t700)) % 1.12/1.33 (define @t702 () (forall @t46 @t701)) % 1.12/1.33 (define @t703 () (= tptp.setunionE2 @t702)) % 1.12/1.33 (define @t704 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.12/1.33 (define @t705 () (_ tptp.setunion @t704)) % 1.12/1.33 (define @t706 () (_ (_ tptp.subset @t705) @t2)) % 1.12/1.33 (define @t707 () (forall @t64 @t706)) % 1.12/1.33 (define @t708 () (= tptp.setunionsingleton1 @t707)) % 1.12/1.33 (define @t709 () (_ @t421 @t705)) % 1.12/1.33 (define @t710 () (forall @t64 @t709)) % 1.12/1.33 (define @t711 () (= tptp.setunionsingleton2 @t710)) % 1.12/1.33 (define @t712 () (_ tptp.setunion @t279)) % 1.12/1.33 (define @t713 () (forall @t9 (= @t712 @t4))) % 1.12/1.33 (define @t714 () (= tptp.setunionsingleton @t713)) % 1.12/1.33 (define @t715 () (_ tptp.singleton @t306)) % 1.12/1.33 (define @t716 () (=> @t309 @t715)) % 1.12/1.33 (define @t717 () (forall @t70 (=> @t21 @t345))) % 1.12/1.33 (define @t718 () (=> @t7 @t717)) % 1.12/1.33 (define @t719 () (forall @t9 @t718)) % 1.12/1.33 (define @t720 () (=> @t719 @t716)) % 1.12/1.33 (define @t721 () (forall @t311 @t720)) % 1.12/1.33 (define @t722 () (= tptp.singletonprop @t721)) % 1.12/1.33 (define @t723 () (_ tptp.ex1 @t2)) % 1.12/1.33 (define @t724 () (_ @t723 @t145)) % 1.12/1.33 (define @t725 () (=> @t724 @t309)) % 1.12/1.33 (define @t726 () (forall @t311 @t725)) % 1.12/1.33 (define @t727 () (= tptp.ex1E1 @t726)) % 1.12/1.33 (define @t728 () (=> @t153 @t22)) % 1.12/1.33 (define @t729 () (=> @t21 @t728)) % 1.12/1.33 (define @t730 () (forall @t70 @t729)) % 1.12/1.33 (define @t731 () (=> @t730 (_ @t723 @t154))) % 1.12/1.33 (define @t732 () (=> @t144 @t731)) % 1.12/1.33 (define @t733 () (=> @t7 @t732)) % 1.12/1.33 (define @t734 () (forall @t159 @t733)) % 1.12/1.33 (define @t735 () (= tptp.ex1I @t734)) % 1.12/1.33 (define @t736 () (=> @t309 @t724)) % 1.12/1.33 (define @t737 () (=> @t719 @t736)) % 1.12/1.33 (define @t738 () (forall @t311 @t737)) % 1.12/1.33 (define @t739 () (= tptp.ex1I2 @t738)) % 1.12/1.33 (define @t740 () (=> (= @t279 @t275) @t129)) % 1.12/1.33 (define @t741 () (forall @t135 @t740)) % 1.12/1.33 (define @t742 () (= tptp.singletonsuniq @t741)) % 1.12/1.33 (define @t743 () (= @t4 @t289)) % 1.12/1.33 (define @t744 () (_ tptp.setadjoin @t289)) % 1.12/1.33 (define @t745 () (_ @t744 tptp.emptyset)) % 1.12/1.33 (define @t746 () (_ (_ tptp.in @t745) @t620)) % 1.12/1.33 (define @t747 () (forall @t297 (=> @t746 @t743))) % 1.12/1.33 (define @t748 () (= tptp.setukpairinjL1 @t747)) % 1.12/1.33 (define @t749 () (_ @t639 @t383)) % 1.12/1.33 (define @t750 () (lambda @t9 @t749)) % 1.12/1.33 (define @t751 () (_ tptp.setunion @t383)) % 1.12/1.33 (define @t752 () (_ tptp.dsetconstr @t751)) % 1.12/1.33 (define @t753 () (_ @t752 @t750)) % 1.12/1.33 (define @t754 () (_ tptp.singleton @t753)) % 1.12/1.33 (define @t755 () (@list @t383)) % 1.12/1.33 (define @t756 () (forall @t755 (=> @t691 @t754))) % 1.12/1.33 (define @t757 () (= tptp.kfstsingleton @t756)) % 1.12/1.33 (define @t758 () (_ tptp.setunion @t694)) % 1.12/1.33 (define @t759 () (_ (_ tptp.in @t758) @t694)) % 1.12/1.33 (define @t760 () (_ tptp.singleton @t694)) % 1.12/1.33 (define @t761 () (forall @t699 (=> @t760 @t759))) % 1.12/1.33 (define @t762 () (= tptp.theprop @t761)) % 1.12/1.33 (define @t763 () (_ tptp.kfst @t632)) % 1.12/1.33 (define @t764 () (= @t763 @t4)) % 1.12/1.33 (define @t765 () (forall @t135 @t764)) % 1.12/1.33 (define @t766 () (= tptp.kfstpairEq @t765)) % 1.12/1.33 (define @t767 () (_ tptp.kfst @t383)) % 1.12/1.33 (define @t768 () (_ (_ tptp.in @t767) @t2)) % 1.12/1.33 (define @t769 () (forall @t688 (=> @t686 @t768))) % 1.12/1.33 (define @t770 () (= tptp.cartprodfstin @t769)) % 1.12/1.33 (define @t771 () (_ (_ tptp.setadjoin @t383) tptp.emptyset)) % 1.12/1.33 (define @t772 () (_ @t744 @t771)) % 1.12/1.33 (define @t773 () (_ (_ tptp.setadjoin @t772) tptp.emptyset)) % 1.12/1.33 (define @t774 () (_ (_ tptp.setadjoin @t745) @t773)) % 1.12/1.33 (define @t775 () (= @t620 @t774)) % 1.12/1.33 (define @t776 () (@list @t4 @t19 @t289 @t383)) % 1.12/1.33 (define @t777 () (forall @t776 (=> @t775 @t743))) % 1.12/1.33 (define @t778 () (= tptp.setukpairinjL2 @t777)) % 1.12/1.33 (define @t779 () (_ (_ tptp.kpair @t289) @t383)) % 1.12/1.33 (define @t780 () (= @t632 @t779)) % 1.12/1.33 (define @t781 () (forall @t776 (=> @t780 @t743))) % 1.12/1.33 (define @t782 () (= tptp.setukpairinjL @t781)) % 1.12/1.33 (define @t783 () (=> @t129 (= @t293 @t279))) % 1.12/1.33 (define @t784 () (forall @t135 @t783)) % 1.12/1.33 (define @t785 () (= tptp.setukpairinjR11 @t784)) % 1.12/1.33 (define @t786 () (_ @t619 tptp.emptyset)) % 1.12/1.33 (define @t787 () (= @t620 @t786)) % 1.12/1.33 (define @t788 () (forall @t135 (=> @t129 @t787))) % 1.12/1.33 (define @t789 () (= tptp.setukpairinjR12 @t788)) % 1.12/1.33 (define @t790 () (= @t19 @t383)) % 1.12/1.33 (define @t791 () (=> @t387 @t790)) % 1.12/1.33 (define @t792 () (forall @t776 (=> @t775 @t791))) % 1.12/1.33 (define @t793 () (= tptp.setukpairinjR1 @t792)) % 1.12/1.33 (define @t794 () (= @t293 @t745)) % 1.12/1.33 (define @t795 () (forall @t297 (=> @t794 @t129))) % 1.12/1.33 (define @t796 () (= tptp.upairequniteq @t795)) % 1.12/1.33 (define @t797 () (forall @t776 (=> @t775 @t790))) % 1.12/1.33 (define @t798 () (= tptp.setukpairinjR2 @t797)) % 1.12/1.33 (define @t799 () (forall @t776 (=> @t780 @t790))) % 1.12/1.33 (define @t800 () (= tptp.setukpairinjR @t799)) % 1.12/1.33 (define @t801 () (_ tptp.kpair @t767)) % 1.12/1.33 (define @t802 () (_ @t801 @t4)) % 1.12/1.33 (define @t803 () (= @t383 @t802)) % 1.12/1.33 (define @t804 () (lambda @t9 @t803)) % 1.12/1.33 (define @t805 () (_ @t752 @t804)) % 1.12/1.33 (define @t806 () (_ tptp.singleton @t805)) % 1.12/1.33 (define @t807 () (forall @t755 (=> @t691 @t806))) % 1.12/1.33 (define @t808 () (= tptp.ksndsingleton @t807)) % 1.12/1.33 (define @t809 () (_ tptp.ksnd @t632)) % 1.12/1.33 (define @t810 () (= @t809 @t19)) % 1.12/1.33 (define @t811 () (forall @t135 @t810)) % 1.12/1.33 (define @t812 () (= tptp.ksndpairEq @t811)) % 1.12/1.33 (define @t813 () (_ tptp.ksnd @t383)) % 1.12/1.33 (define @t814 () (_ @t801 @t813)) % 1.12/1.33 (define @t815 () (= @t814 @t383)) % 1.12/1.33 (define @t816 () (=> @t691 @t815)) % 1.12/1.33 (define @t817 () (forall @t755 @t816)) % 1.12/1.33 (define @t818 () (= tptp.kpairsurjEq @t817)) % 1.12/1.33 (define @t819 () (_ (_ tptp.in @t813) @t1)) % 1.12/1.33 (define @t820 () (forall @t688 (=> @t686 @t819))) % 1.12/1.33 (define @t821 () (= tptp.cartprodsndin @t820)) % 1.12/1.33 (define @t822 () (@list @t2 @t1 @t4 @t19)) % 1.12/1.33 (define @t823 () (forall @t822 (=> @t675 @t7))) % 1.12/1.33 (define @t824 () (= tptp.cartprodpairmemEL @t823)) % 1.12/1.33 (define @t825 () (forall @t822 (=> @t675 @t354))) % 1.12/1.33 (define @t826 () (= tptp.cartprodpairmemER @t825)) % 1.12/1.33 (define @t827 () (=> @t354 (= @t632 @t632))) % 1.12/1.33 (define @t828 () (forall @t70 @t827)) % 1.12/1.33 (define @t829 () (=> @t7 @t828)) % 1.12/1.33 (define @t830 () (forall @t245 @t829)) % 1.12/1.33 (define @t831 () (= tptp.cartprodmempaircEq @t830)) % 1.12/1.33 (define @t832 () (=> @t354 @t764)) % 1.12/1.33 (define @t833 () (forall @t70 @t832)) % 1.12/1.33 (define @t834 () (=> @t7 @t833)) % 1.12/1.33 (define @t835 () (forall @t245 @t834)) % 1.12/1.33 (define @t836 () (= tptp.cartprodfstpairEq @t835)) % 1.12/1.33 (define @t837 () (=> @t354 @t810)) % 1.12/1.33 (define @t838 () (forall @t70 @t837)) % 1.12/1.33 (define @t839 () (=> @t7 @t838)) % 1.12/1.33 (define @t840 () (forall @t245 @t839)) % 1.12/1.33 (define @t841 () (= tptp.cartprodsndpairEq @t840)) % 1.12/1.33 (define @t842 () (=> @t686 @t815)) % 1.12/1.33 (define @t843 () (forall @t688 @t842)) % 1.12/1.33 (define @t844 () (= tptp.cartprodpairsurjEq @t843)) % 1.12/1.33 (define @t845 () (_ (_ @t67 @t289) @t383)) % 1.12/1.33 (define @t846 () (lambda @t388 @t845)) % 1.12/1.33 (define @t847 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 1.12/1.33 (define @t848 () (_ @t847 @t846)) % 1.12/1.33 (define @t849 () (_ @t668 @t848)) % 1.12/1.33 (define @t850 () (=> @t76 @t849)) % 1.12/1.33 (define @t851 () (forall @t70 (=> @t354 @t850))) % 1.12/1.33 (define @t852 () (=> @t7 @t851)) % 1.12/1.33 (define @t853 () (@list @t2 @t1 @t67 @t4)) % 1.12/1.33 (define @t854 () (forall @t853 @t852)) % 1.12/1.33 (define @t855 () (= tptp.dpsetconstrI @t854)) % 1.12/1.33 (define @t856 () (lambda @t135 @t76)) % 1.12/1.33 (define @t857 () (_ @t847 @t856)) % 1.12/1.33 (define @t858 () (_ (_ tptp.subset @t857) @t674)) % 1.12/1.33 (define @t859 () (@list @t2 @t1 @t67)) % 1.12/1.33 (define @t860 () (forall @t859 @t858)) % 1.12/1.33 (define @t861 () (= tptp.dpsetconstrSub @t860)) % 1.12/1.33 (define @t862 () (_ (_ tptp.breln @t2) @t1)) % 1.12/1.33 (define @t863 () (forall @t859 (_ @t862 @t857))) % 1.12/1.33 (define @t864 () (= tptp.setOfPairsIsBReln @t863)) % 1.12/1.33 (define @t865 () (=> @t849 @t76)) % 1.12/1.33 (define @t866 () (forall @t70 (=> @t354 @t865))) % 1.12/1.33 (define @t867 () (=> @t7 @t866)) % 1.12/1.33 (define @t868 () (forall @t853 @t867)) % 1.12/1.33 (define @t869 () (= tptp.dpsetconstrERa @t868)) % 1.12/1.33 (define @t870 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.12/1.33 (define @t871 () (forall @t870 (=> @t849 @t7))) % 1.12/1.33 (define @t872 () (= tptp.dpsetconstrEL1 @t871)) % 1.12/1.33 (define @t873 () (forall @t870 (=> @t849 @t354))) % 1.12/1.33 (define @t874 () (= tptp.dpsetconstrEL2 @t873)) % 1.12/1.33 (define @t875 () (forall @t870 @t865)) % 1.12/1.33 (define @t876 () (= tptp.dpsetconstrER @t875)) % 1.12/1.33 (define @t877 () (@var "Xf" $$unsorted)) % 1.12/1.33 (define @t878 () (_ @t668 @t877)) % 1.12/1.33 (define @t879 () (lambda @t70 @t878)) % 1.12/1.33 (define @t880 () (_ @t410 @t879)) % 1.12/1.33 (define @t881 () (_ tptp.singleton @t880)) % 1.12/1.33 (define @t882 () (forall @t9 (=> @t7 @t881))) % 1.12/1.33 (define @t883 () (_ (_ tptp.func @t2) @t1)) % 1.12/1.33 (define @t884 () (_ @t883 @t877)) % 1.12/1.33 (define @t885 () (=> @t884 @t882)) % 1.12/1.33 (define @t886 () (@list @t2 @t1 @t877)) % 1.12/1.33 (define @t887 () (forall @t886 @t885)) % 1.12/1.33 (define @t888 () (= tptp.funcImageSingleton @t887)) % 1.12/1.33 (define @t889 () (_ tptp.setunion @t880)) % 1.12/1.33 (define @t890 () (_ (_ tptp.in @t889) @t1)) % 1.12/1.33 (define @t891 () (forall @t9 (=> @t7 @t890))) % 1.12/1.33 (define @t892 () (=> @t884 @t891)) % 1.12/1.33 (define @t893 () (forall @t886 @t892)) % 1.12/1.33 (define @t894 () (= tptp.apProp @t893)) % 1.12/1.33 (define @t895 () (_ (_ tptp.ap @t2) @t1)) % 1.12/1.33 (define @t896 () (_ (_ @t895 @t877) @t4)) % 1.12/1.33 (define @t897 () (_ (_ tptp.in @t896) @t1)) % 1.12/1.33 (define @t898 () (forall @t9 (=> @t7 @t897))) % 1.12/1.33 (define @t899 () (=> @t884 @t898)) % 1.12/1.33 (define @t900 () (forall @t886 @t899)) % 1.12/1.33 (define @t901 () (= tptp.app @t900)) % 1.12/1.33 (define @t902 () (_ (_ tptp.funcSet @t2) @t1)) % 1.12/1.33 (define @t903 () (_ tptp.in @t877)) % 1.12/1.33 (define @t904 () (_ @t903 @t902)) % 1.12/1.33 (define @t905 () (forall @t886 (=> @t904 @t884))) % 1.12/1.33 (define @t906 () (= tptp.infuncsetfunc @t905)) % 1.12/1.33 (define @t907 () (=> @t904 @t898)) % 1.12/1.33 (define @t908 () (forall @t886 @t907)) % 1.12/1.33 (define @t909 () (= tptp.ap2p @t908)) % 1.12/1.33 (define @t910 () (forall @t886 (=> @t884 @t904))) % 1.12/1.33 (define @t911 () (= tptp.funcinfuncset @t910)) % 1.12/1.33 (define @t912 () (@var "Xf" (-> $$unsorted $$unsorted))) % 1.12/1.33 (define @t913 () (_ @t912 @t4)) % 1.12/1.33 (define @t914 () (lambda @t135 (= @t913 @t19))) % 1.12/1.33 (define @t915 () (_ (_ tptp.in @t913) @t1)) % 1.12/1.33 (define @t916 () (forall @t9 (=> @t7 @t915))) % 1.12/1.33 (define @t917 () (=> @t916 (_ @t883 (_ @t847 @t914)))) % 1.12/1.33 (define @t918 () (@list @t2 @t1 @t912)) % 1.12/1.33 (define @t919 () (forall @t918 @t917)) % 1.12/1.33 (define @t920 () (= tptp.lamProp @t919)) % 1.12/1.33 (define @t921 () (lambda @t9 @t913)) % 1.12/1.33 (define @t922 () (_ (_ tptp.lam @t2) @t1)) % 1.12/1.33 (define @t923 () (_ @t922 @t921)) % 1.12/1.33 (define @t924 () (_ @t883 @t923)) % 1.12/1.33 (define @t925 () (=> @t916 @t924)) % 1.12/1.33 (define @t926 () (forall @t918 @t925)) % 1.12/1.33 (define @t927 () (= tptp.lamp @t926)) % 1.12/1.33 (define @t928 () (_ (_ tptp.in @t923) @t902)) % 1.12/1.33 (define @t929 () (=> @t916 @t928)) % 1.12/1.33 (define @t930 () (forall @t918 @t929)) % 1.12/1.33 (define @t931 () (= tptp.lam2p @t930)) % 1.12/1.33 (define @t932 () (@var "R" $$unsorted)) % 1.12/1.33 (define @t933 () (_ @t5 @t932)) % 1.12/1.33 (define @t934 () (forall @t9 (=> @t933 @t144))) % 1.12/1.33 (define @t935 () (_ @t143 @t632)) % 1.12/1.33 (define @t936 () (_ @t668 @t932)) % 1.12/1.33 (define @t937 () (=> @t936 @t935)) % 1.12/1.33 (define @t938 () (forall @t70 (=> @t354 @t937))) % 1.12/1.33 (define @t939 () (=> @t7 @t938)) % 1.12/1.33 (define @t940 () (forall @t9 @t939)) % 1.12/1.33 (define @t941 () (=> @t940 @t934)) % 1.12/1.33 (define @t942 () (forall @t150 @t941)) % 1.12/1.33 (define @t943 () (_ @t862 @t932)) % 1.12/1.33 (define @t944 () (=> @t943 @t942)) % 1.12/1.33 (define @t945 () (@list @t2 @t1 @t932)) % 1.12/1.33 (define @t946 () (forall @t945 @t944)) % 1.12/1.33 (define @t947 () (= tptp.brelnall1 @t946)) % 1.12/1.33 (define @t948 () (= tptp.brelnall2 @t946)) % 1.12/1.33 (define @t949 () (=> @t724 @t719)) % 1.12/1.33 (define @t950 () (forall @t311 @t949)) % 1.12/1.33 (define @t951 () (= tptp.ex1E2 @t950)) % 1.12/1.33 (define @t952 () (_ @t631 @t896)) % 1.12/1.33 (define @t953 () (_ (_ tptp.in @t952) @t877)) % 1.12/1.33 (define @t954 () (forall @t9 (=> @t7 @t953))) % 1.12/1.33 (define @t955 () (=> @t884 @t954)) % 1.12/1.33 (define @t956 () (forall @t886 @t955)) % 1.12/1.33 (define @t957 () (= tptp.funcGraphProp1 @t956)) % 1.12/1.33 (define @t958 () (=> @t904 @t954)) % 1.12/1.33 (define @t959 () (forall @t886 @t958)) % 1.12/1.33 (define @t960 () (= tptp.funcGraphProp3 @t959)) % 1.12/1.33 (define @t961 () (=> @t878 (= @t896 @t19))) % 1.12/1.33 (define @t962 () (=> @t354 @t961)) % 1.12/1.33 (define @t963 () (forall @t70 @t962)) % 1.12/1.33 (define @t964 () (=> @t7 @t963)) % 1.12/1.33 (define @t965 () (forall @t9 @t964)) % 1.12/1.33 (define @t966 () (=> @t884 @t965)) % 1.12/1.33 (define @t967 () (forall @t886 @t966)) % 1.12/1.33 (define @t968 () (= tptp.funcGraphProp2 @t967)) % 1.12/1.33 (define @t969 () (@var "Xg" $$unsorted)) % 1.12/1.33 (define @t970 () (_ @t668 @t969)) % 1.12/1.33 (define @t971 () (=> @t970 @t878)) % 1.12/1.33 (define @t972 () (forall @t70 (=> @t354 @t971))) % 1.12/1.33 (define @t973 () (=> @t7 @t972)) % 1.12/1.33 (define @t974 () (forall @t9 @t973)) % 1.12/1.33 (define @t975 () (_ (_ @t895 @t969) @t4)) % 1.12/1.33 (define @t976 () (= @t896 @t975)) % 1.12/1.33 (define @t977 () (forall @t9 (=> @t7 @t976))) % 1.12/1.33 (define @t978 () (=> @t977 @t974)) % 1.12/1.33 (define @t979 () (_ @t883 @t969)) % 1.12/1.33 (define @t980 () (=> @t979 @t978)) % 1.12/1.33 (define @t981 () (@list @t969)) % 1.12/1.33 (define @t982 () (forall @t981 @t980)) % 1.12/1.33 (define @t983 () (=> @t884 @t982)) % 1.12/1.33 (define @t984 () (forall @t886 @t983)) % 1.12/1.33 (define @t985 () (= tptp.funcextLem @t984)) % 1.12/1.33 (define @t986 () (=> @t904 @t965)) % 1.12/1.33 (define @t987 () (forall @t886 @t986)) % 1.12/1.33 (define @t988 () (= tptp.funcGraphProp4 @t987)) % 1.12/1.33 (define @t989 () (@var "S" $$unsorted)) % 1.12/1.33 (define @t990 () (_ tptp.subset @t932)) % 1.12/1.33 (define @t991 () (_ @t990 @t989)) % 1.12/1.33 (define @t992 () (_ @t668 @t989)) % 1.12/1.33 (define @t993 () (=> @t936 @t992)) % 1.12/1.33 (define @t994 () (forall @t70 (=> @t354 @t993))) % 1.12/1.33 (define @t995 () (=> @t7 @t994)) % 1.12/1.33 (define @t996 () (forall @t9 @t995)) % 1.12/1.33 (define @t997 () (=> @t996 @t991)) % 1.12/1.33 (define @t998 () (_ @t862 @t989)) % 1.12/1.33 (define @t999 () (=> @t998 @t997)) % 1.12/1.33 (define @t1000 () (@list @t989)) % 1.12/1.33 (define @t1001 () (forall @t1000 @t999)) % 1.12/1.33 (define @t1002 () (=> @t943 @t1001)) % 1.12/1.33 (define @t1003 () (forall @t945 @t1002)) % 1.12/1.33 (define @t1004 () (= tptp.subbreln @t1003)) % 1.12/1.33 (define @t1005 () (= @t932 @t989)) % 1.12/1.33 (define @t1006 () (=> @t992 @t936)) % 1.12/1.33 (define @t1007 () (forall @t70 (=> @t354 @t1006))) % 1.12/1.33 (define @t1008 () (=> @t7 @t1007)) % 1.12/1.33 (define @t1009 () (forall @t9 @t1008)) % 1.12/1.33 (define @t1010 () (=> @t1009 @t1005)) % 1.12/1.33 (define @t1011 () (=> @t996 @t1010)) % 1.12/1.33 (define @t1012 () (=> @t998 @t1011)) % 1.12/1.33 (define @t1013 () (forall @t1000 @t1012)) % 1.12/1.33 (define @t1014 () (=> @t943 @t1013)) % 1.12/1.33 (define @t1015 () (forall @t945 @t1014)) % 1.12/1.33 (define @t1016 () (= tptp.eqbreln @t1015)) % 1.12/1.33 (define @t1017 () (= @t877 @t969)) % 1.12/1.33 (define @t1018 () (=> @t977 @t1017)) % 1.12/1.33 (define @t1019 () (=> @t979 @t1018)) % 1.12/1.33 (define @t1020 () (forall @t981 @t1019)) % 1.12/1.33 (define @t1021 () (=> @t884 @t1020)) % 1.12/1.33 (define @t1022 () (forall @t886 @t1021)) % 1.12/1.33 (define @t1023 () (= tptp.funcext @t1022)) % 1.12/1.33 (define @t1024 () (_ tptp.in @t969)) % 1.12/1.33 (define @t1025 () (_ @t1024 @t902)) % 1.12/1.33 (define @t1026 () (=> @t1025 @t1018)) % 1.12/1.33 (define @t1027 () (forall @t981 @t1026)) % 1.12/1.33 (define @t1028 () (=> @t904 @t1027)) % 1.12/1.33 (define @t1029 () (forall @t886 @t1028)) % 1.12/1.33 (define @t1030 () (= tptp.funcext2 @t1029)) % 1.12/1.33 (define @t1031 () (=> @t7 (= @t896 @t896))) % 1.12/1.33 (define @t1032 () (forall @t9 @t1031)) % 1.12/1.33 (define @t1033 () (=> @t904 @t1032)) % 1.12/1.33 (define @t1034 () (forall @t886 @t1033)) % 1.12/1.33 (define @t1035 () (= tptp.ap2apEq1 @t1034)) % 1.12/1.33 (define @t1036 () (=> @t884 @t1032)) % 1.12/1.33 (define @t1037 () (forall @t886 @t1036)) % 1.12/1.33 (define @t1038 () (= tptp.ap2apEq2 @t1037)) % 1.12/1.33 (define @t1039 () (_ @t912 @t19)) % 1.12/1.33 (define @t1040 () (lambda @t70 @t1039)) % 1.12/1.33 (define @t1041 () (_ @t922 @t1040)) % 1.12/1.33 (define @t1042 () (_ (_ @t895 @t1041) @t4)) % 1.12/1.33 (define @t1043 () (=> @t7 (= @t1042 @t913))) % 1.12/1.33 (define @t1044 () (forall @t9 @t1043)) % 1.12/1.33 (define @t1045 () (=> @t916 @t1044)) % 1.12/1.33 (define @t1046 () (forall @t918 @t1045)) % 1.12/1.33 (define @t1047 () (= tptp.beta1 @t1046)) % 1.12/1.33 (define @t1048 () (lambda @t9 @t896)) % 1.12/1.33 (define @t1049 () (_ @t922 @t1048)) % 1.12/1.33 (define @t1050 () (= @t1049 @t877)) % 1.12/1.33 (define @t1051 () (=> @t884 @t1050)) % 1.12/1.33 (define @t1052 () (forall @t886 @t1051)) % 1.12/1.33 (define @t1053 () (= tptp.eta1 @t1052)) % 1.12/1.33 (define @t1054 () (=> @t916 (= @t923 @t923))) % 1.12/1.33 (define @t1055 () (forall @t918 @t1054)) % 1.12/1.33 (define @t1056 () (= tptp.lam2lamEq @t1055)) % 1.12/1.33 (define @t1057 () (=> @t904 @t1050)) % 1.12/1.33 (define @t1058 () (forall @t886 @t1057)) % 1.12/1.33 (define @t1059 () (= tptp.eta2 @t1058)) % 1.12/1.33 (define @t1060 () (not @t173)) % 1.12/1.33 (define @t1061 () (and @t1060 @t290)) % 1.12/1.33 (define @t1062 () (and @t173 @t291)) % 1.12/1.33 (define @t1063 () (or @t1062 @t1061)) % 1.12/1.33 (define @t1064 () (@list @t289)) % 1.12/1.33 (define @t1065 () (lambda @t1064 @t1063)) % 1.12/1.33 (define @t1066 () (_ @t155 @t1065)) % 1.12/1.33 (define @t1067 () (=> @t1060 (_ @t20 @t1066))) % 1.12/1.33 (define @t1068 () (=> @t21 @t1067)) % 1.12/1.33 (define @t1069 () (forall @t70 @t1068)) % 1.12/1.33 (define @t1070 () (=> @t7 @t1069)) % 1.12/1.33 (define @t1071 () (@list @t2 @t173 @t4)) % 1.12/1.33 (define @t1072 () (forall @t1071 @t1070)) % 1.12/1.33 (define @t1073 () (= tptp.iffalseProp1 @t1072)) % 1.12/1.33 (define @t1074 () (= @t1066 @t275)) % 1.12/1.33 (define @t1075 () (=> @t1060 @t1074)) % 1.12/1.33 (define @t1076 () (=> @t21 @t1075)) % 1.12/1.33 (define @t1077 () (forall @t70 @t1076)) % 1.12/1.33 (define @t1078 () (=> @t7 @t1077)) % 1.12/1.33 (define @t1079 () (forall @t1071 @t1078)) % 1.12/1.33 (define @t1080 () (= tptp.iffalseProp2 @t1079)) % 1.12/1.33 (define @t1081 () (=> @t173 (_ @t5 @t1066))) % 1.12/1.33 (define @t1082 () (=> @t21 @t1081)) % 1.12/1.33 (define @t1083 () (forall @t70 @t1082)) % 1.12/1.33 (define @t1084 () (=> @t7 @t1083)) % 1.12/1.33 (define @t1085 () (forall @t1071 @t1084)) % 1.12/1.33 (define @t1086 () (= tptp.iftrueProp1 @t1085)) % 1.12/1.33 (define @t1087 () (= @t1066 @t279)) % 1.12/1.33 (define @t1088 () (=> @t173 @t1087)) % 1.12/1.33 (define @t1089 () (=> @t21 @t1088)) % 1.12/1.33 (define @t1090 () (forall @t70 @t1089)) % 1.12/1.33 (define @t1091 () (=> @t7 @t1090)) % 1.12/1.33 (define @t1092 () (forall @t1071 @t1091)) % 1.12/1.33 (define @t1093 () (= tptp.iftrueProp2 @t1092)) % 1.12/1.33 (define @t1094 () (=> @t21 (_ tptp.singleton @t1066))) % 1.12/1.33 (define @t1095 () (forall @t70 @t1094)) % 1.12/1.33 (define @t1096 () (=> @t7 @t1095)) % 1.12/1.33 (define @t1097 () (forall @t1071 @t1096)) % 1.12/1.33 (define @t1098 () (= tptp.ifSingleton @t1097)) % 1.12/1.33 (define @t1099 () (_ (_ (_ (_ tptp.if @t2) @t173) @t4) @t19)) % 1.12/1.33 (define @t1100 () (_ tptp.in @t1099)) % 1.12/1.33 (define @t1101 () (_ @t1100 @t2)) % 1.12/1.33 (define @t1102 () (forall @t70 (=> @t21 @t1101))) % 1.12/1.33 (define @t1103 () (=> @t7 @t1102)) % 1.12/1.33 (define @t1104 () (forall @t1071 @t1103)) % 1.12/1.33 (define @t1105 () (= tptp.ifp @t1104)) % 1.12/1.33 (define @t1106 () (=> @t695 (= @t758 @t4))) % 1.12/1.33 (define @t1107 () (forall @t9 @t1106)) % 1.12/1.33 (define @t1108 () (=> @t760 @t1107)) % 1.12/1.33 (define @t1109 () (forall @t699 @t1108)) % 1.12/1.33 (define @t1110 () (= tptp.theeq @t1109)) % 1.12/1.33 (define @t1111 () (=> @t173 (= @t1099 @t4))) % 1.12/1.33 (define @t1112 () (=> @t21 @t1111)) % 1.12/1.33 (define @t1113 () (forall @t70 @t1112)) % 1.12/1.33 (define @t1114 () (=> @t7 @t1113)) % 1.12/1.33 (define @t1115 () (forall @t1071 @t1114)) % 1.12/1.33 (define @t1116 () (= tptp.iftrue @t1115)) % 1.12/1.33 (define @t1117 () (=> @t1060 (= @t1099 @t19))) % 1.12/1.33 (define @t1118 () (=> @t21 @t1117)) % 1.12/1.33 (define @t1119 () (forall @t70 @t1118)) % 1.12/1.33 (define @t1120 () (=> @t7 @t1119)) % 1.12/1.33 (define @t1121 () (forall @t1071 @t1120)) % 1.12/1.33 (define @t1122 () (= tptp.iffalse @t1121)) % 1.12/1.33 (define @t1123 () (_ @t1100 @t293)) % 1.12/1.33 (define @t1124 () (forall @t70 (=> @t21 @t1123))) % 1.12/1.33 (define @t1125 () (=> @t7 @t1124)) % 1.12/1.33 (define @t1126 () (forall @t1071 @t1125)) % 1.12/1.33 (define @t1127 () (= tptp.iftrueorfalse @t1126)) % 1.12/1.33 (define @t1128 () (@var "Y" $$unsorted)) % 1.12/1.33 (define @t1129 () (_ (_ tptp.binintersect @t694) @t1128)) % 1.12/1.33 (define @t1130 () (_ (_ tptp.in @t1129) @t33)) % 1.12/1.33 (define @t1131 () (_ tptp.in @t1128)) % 1.12/1.33 (define @t1132 () (_ @t1131 @t33)) % 1.12/1.33 (define @t1133 () (@list @t1128)) % 1.12/1.33 (define @t1134 () (forall @t1133 (=> @t1132 @t1130))) % 1.12/1.33 (define @t1135 () (_ @t696 @t33)) % 1.12/1.33 (define @t1136 () (=> @t1135 @t1134)) % 1.12/1.33 (define @t1137 () (@list @t2 @t694)) % 1.12/1.33 (define @t1138 () (forall @t1137 @t1136)) % 1.12/1.33 (define @t1139 () (=> tptp.iftrueorfalse @t1138)) % 1.12/1.33 (define @t1140 () (=> tptp.iffalse @t1139)) % 1.12/1.33 (define @t1141 () (=> tptp.iftrue @t1140)) % 1.12/1.33 (define @t1142 () (=> tptp.theeq @t1141)) % 1.12/1.33 (define @t1143 () (=> tptp.ifp @t1142)) % 1.12/1.33 (define @t1144 () (=> tptp.ifSingleton @t1143)) % 1.12/1.33 (define @t1145 () (=> tptp.iftrueProp2 @t1144)) % 1.12/1.33 (define @t1146 () (=> tptp.iftrueProp1 @t1145)) % 1.12/1.33 (define @t1147 () (=> tptp.iffalseProp2 @t1146)) % 1.12/1.33 (define @t1148 () (=> tptp.iffalseProp1 @t1147)) % 1.12/1.33 (define @t1149 () (=> tptp.eta2 @t1148)) % 1.12/1.33 (define @t1150 () (=> tptp.beta2 @t1149)) % 1.12/1.33 (define @t1151 () (=> tptp.lam2lamEq @t1150)) % 1.12/1.33 (define @t1152 () (=> tptp.eta1 @t1151)) % 1.12/1.33 (define @t1153 () (=> tptp.beta1 @t1152)) % 1.12/1.33 (define @t1154 () (=> tptp.ap2apEq2 @t1153)) % 1.12/1.33 (define @t1155 () (=> tptp.ap2apEq1 @t1154)) % 1.12/1.33 (define @t1156 () (=> tptp.funcext2 @t1155)) % 1.12/1.33 (define @t1157 () (=> tptp.funcext @t1156)) % 1.12/1.33 (define @t1158 () (=> tptp.eqbreln @t1157)) % 1.12/1.33 (define @t1159 () (=> tptp.subbreln @t1158)) % 1.12/1.33 (define @t1160 () (=> tptp.funcGraphProp4 @t1159)) % 1.12/1.33 (define @t1161 () (=> tptp.funcextLem @t1160)) % 1.12/1.33 (define @t1162 () (=> tptp.funcGraphProp2 @t1161)) % 1.12/1.33 (define @t1163 () (=> tptp.funcGraphProp3 @t1162)) % 1.12/1.33 (define @t1164 () (=> tptp.funcGraphProp1 @t1163)) % 1.12/1.33 (define @t1165 () (=> tptp.ex1E2 @t1164)) % 1.12/1.33 (define @t1166 () (=> tptp.brelnall2 @t1165)) % 1.12/1.33 (define @t1167 () (=> tptp.brelnall1 @t1166)) % 1.12/1.33 (define @t1168 () (=> tptp.lam2p @t1167)) % 1.12/1.33 (define @t1169 () (=> tptp.lamp @t1168)) % 1.12/1.33 (define @t1170 () (=> tptp.lamProp @t1169)) % 1.12/1.33 (define @t1171 () (=> tptp.funcinfuncset @t1170)) % 1.12/1.33 (define @t1172 () (=> tptp.ap2p @t1171)) % 1.12/1.33 (define @t1173 () (=> tptp.infuncsetfunc @t1172)) % 1.12/1.33 (define @t1174 () (=> tptp.app @t1173)) % 1.12/1.33 (define @t1175 () (=> tptp.apProp @t1174)) % 1.12/1.33 (define @t1176 () (=> tptp.funcImageSingleton @t1175)) % 1.12/1.33 (define @t1177 () (=> tptp.dpsetconstrER @t1176)) % 1.12/1.33 (define @t1178 () (=> tptp.dpsetconstrEL2 @t1177)) % 1.12/1.33 (define @t1179 () (=> tptp.dpsetconstrEL1 @t1178)) % 1.12/1.33 (define @t1180 () (=> tptp.dpsetconstrERa @t1179)) % 1.12/1.33 (define @t1181 () (=> tptp.setOfPairsIsBReln @t1180)) % 1.12/1.33 (define @t1182 () (=> tptp.dpsetconstrSub @t1181)) % 1.12/1.33 (define @t1183 () (=> tptp.dpsetconstrI @t1182)) % 1.12/1.33 (define @t1184 () (=> tptp.cartprodpairsurjEq @t1183)) % 1.12/1.33 (define @t1185 () (=> tptp.cartprodsndpairEq @t1184)) % 1.12/1.33 (define @t1186 () (=> tptp.cartprodfstpairEq @t1185)) % 1.12/1.33 (define @t1187 () (=> tptp.cartprodmempaircEq @t1186)) % 1.12/1.33 (define @t1188 () (=> tptp.cartprodpairmemER @t1187)) % 1.12/1.33 (define @t1189 () (=> tptp.cartprodpairmemEL @t1188)) % 1.12/1.33 (define @t1190 () (=> tptp.cartprodsndin @t1189)) % 1.12/1.33 (define @t1191 () (=> tptp.kpairsurjEq @t1190)) % 1.12/1.33 (define @t1192 () (=> tptp.ksndpairEq @t1191)) % 1.12/1.33 (define @t1193 () (=> tptp.ksndsingleton @t1192)) % 1.12/1.33 (define @t1194 () (=> tptp.setukpairinjR @t1193)) % 1.12/1.33 (define @t1195 () (=> tptp.setukpairinjR2 @t1194)) % 1.12/1.33 (define @t1196 () (=> tptp.upairequniteq @t1195)) % 1.12/1.33 (define @t1197 () (=> tptp.setukpairinjR1 @t1196)) % 1.12/1.33 (define @t1198 () (=> tptp.setukpairinjR12 @t1197)) % 1.12/1.33 (define @t1199 () (=> tptp.setukpairinjR11 @t1198)) % 1.12/1.33 (define @t1200 () (=> tptp.setukpairinjL @t1199)) % 1.12/1.33 (define @t1201 () (=> tptp.setukpairinjL2 @t1200)) % 1.12/1.33 (define @t1202 () (=> tptp.cartprodfstin @t1201)) % 1.12/1.33 (define @t1203 () (=> tptp.kfstpairEq @t1202)) % 1.12/1.33 (define @t1204 () (=> tptp.theprop @t1203)) % 1.12/1.33 (define @t1205 () (=> tptp.kfstsingleton @t1204)) % 1.12/1.33 (define @t1206 () (=> tptp.setukpairinjL1 @t1205)) % 1.12/1.33 (define @t1207 () (=> tptp.singletonsuniq @t1206)) % 1.12/1.33 (define @t1208 () (=> tptp.ex1I2 @t1207)) % 1.12/1.33 (define @t1209 () (=> tptp.ex1I @t1208)) % 1.12/1.33 (define @t1210 () (=> tptp.ex1E1 @t1209)) % 1.12/1.33 (define @t1211 () (=> tptp.singletonprop @t1210)) % 1.12/1.33 (define @t1212 () (=> tptp.setunionsingleton @t1211)) % 1.12/1.33 (define @t1213 () (=> tptp.setunionsingleton2 @t1212)) % 1.12/1.33 (define @t1214 () (=> tptp.setunionsingleton1 @t1213)) % 1.12/1.33 (define @t1215 () (=> tptp.setunionE2 @t1214)) % 1.12/1.33 (define @t1216 () (=> tptp.cartprodmempair @t1215)) % 1.12/1.33 (define @t1217 () (=> tptp.cartprodmempair1 @t1216)) % 1.12/1.33 (define @t1218 () (=> tptp.cartprodpairin @t1217)) % 1.12/1.33 (define @t1219 () (=> tptp.ubforcartprodlem3 @t1218)) % 1.12/1.33 (define @t1220 () (=> tptp.ubforcartprodlem2 @t1219)) % 1.12/1.33 (define @t1221 () (=> tptp.ubforcartprodlem1 @t1220)) % 1.12/1.33 (define @t1222 () (=> tptp.upairinpowunion @t1221)) % 1.12/1.33 (define @t1223 () (=> tptp.upairsubunion @t1222)) % 1.12/1.33 (define @t1224 () (=> tptp.upairset2E @t1223)) % 1.12/1.33 (define @t1225 () (=> tptp.singletoninpowunion @t1224)) % 1.12/1.33 (define @t1226 () (=> tptp.singletoninpowerset @t1225)) % 1.12/1.33 (define @t1227 () (=> tptp.singletonsubset @t1226)) % 1.12/1.33 (define @t1228 () (=> tptp.kpairp @t1227)) % 1.12/1.33 (define @t1229 () (=> tptp.kpairiskpair @t1228)) % 1.12/1.33 (define @t1230 () (=> tptp.setukpairIR @t1229)) % 1.12/1.33 (define @t1231 () (=> tptp.setukpairIL @t1230)) % 1.12/1.33 (define @t1232 () (=> tptp.secondinupair @t1231)) % 1.12/1.33 (define @t1233 () (=> tptp.symdiffIneg2 @t1232)) % 1.12/1.33 (define @t1234 () (=> tptp.symdiffIneg1 @t1233)) % 1.12/1.33 (define @t1235 () (=> tptp.symdiffI2 @t1234)) % 1.12/1.33 (define @t1236 () (=> tptp.symdiffI1 @t1235)) % 1.12/1.33 (define @t1237 () (=> tptp.symdiffE @t1236)) % 1.12/1.33 (define @t1238 () (=> tptp.setminusSubset1 @t1237)) % 1.12/1.33 (define @t1239 () (=> tptp.setminusLsub @t1238)) % 1.12/1.33 (define @t1240 () (=> tptp.setminusIRneg @t1239)) % 1.12/1.33 (define @t1241 () (=> tptp.setminusILneg @t1240)) % 1.12/1.33 (define @t1242 () (=> tptp.setminusELneg @t1241)) % 1.12/1.33 (define @t1243 () (=> tptp.setminusERneg @t1242)) % 1.12/1.33 (define @t1244 () (=> tptp.setminusSubset2 @t1243)) % 1.12/1.33 (define @t1245 () (=> tptp.setminusER @t1244)) % 1.12/1.33 (define @t1246 () (=> tptp.setminusEL @t1245)) % 1.12/1.33 (define @t1247 () (=> tptp.setminusI @t1246)) % 1.12/1.33 (define @t1248 () (=> tptp.bs114d @t1247)) % 1.12/1.33 (define @t1249 () (=> tptp.binintersectSubset1 @t1248)) % 1.12/1.33 (define @t1250 () (=> tptp.binintersectSubset4 @t1249)) % 1.12/1.33 (define @t1251 () (=> tptp.binintersectRsub @t1250)) % 1.12/1.33 (define @t1252 () (=> tptp.disjointsetsI1 @t1251)) % 1.12/1.33 (define @t1253 () (=> tptp.binintersectER @t1252)) % 1.12/1.33 (define @t1254 () (=> tptp.binintersectSubset3 @t1253)) % 1.12/1.33 (define @t1255 () (=> tptp.binintersectSubset2 @t1254)) % 1.12/1.33 (define @t1256 () (=> tptp.binintersectLsub @t1255)) % 1.12/1.33 (define @t1257 () (=> tptp.binintersectEL @t1256)) % 1.12/1.33 (define @t1258 () (=> tptp.binintersectSubset5 @t1257)) % 1.12/1.33 (define @t1259 () (=> tptp.binintersectI @t1258)) % 1.12/1.33 (define @t1260 () (=> tptp.binunionRsub @t1259)) % 1.12/1.33 (define @t1261 () (=> tptp.binunionLsub @t1260)) % 1.12/1.33 (define @t1262 () (=> tptp.binunionE @t1261)) % 1.12/1.33 (define @t1263 () (=> tptp.binunionEcases @t1262)) % 1.12/1.33 (define @t1264 () (=> tptp.binunionIR @t1263)) % 1.12/1.33 (define @t1265 () (=> tptp.upairset2IR @t1264)) % 1.12/1.33 (define @t1266 () (=> tptp.binunionIL @t1265)) % 1.12/1.33 (define @t1267 () (=> tptp.sepSubset @t1266)) % 1.12/1.33 (define @t1268 () (=> tptp.sepInPowerset @t1267)) % 1.12/1.33 (define @t1269 () (=> tptp.powersetsubset @t1268)) % 1.12/1.33 (define @t1270 () (=> tptp.inPowerset @t1269)) % 1.12/1.33 (define @t1271 () (=> tptp.powersetE1 @t1270)) % 1.12/1.33 (define @t1272 () (=> tptp.powersetI1 @t1271)) % 1.12/1.33 (define @t1273 () (=> tptp.subsetemptysetimpeq @t1272)) % 1.12/1.33 (define @t1274 () (=> tptp.setextsub @t1273)) % 1.12/1.33 (define @t1275 () (=> tptp.subset2powerset @t1274)) % 1.12/1.33 (define @t1276 () (=> tptp.setadjoinSub2 @t1275)) % 1.12/1.33 (define @t1277 () (=> tptp.setadjoinSub @t1276)) % 1.12/1.33 (define @t1278 () (=> tptp.subsetTrans @t1277)) % 1.12/1.33 (define @t1279 () (=> tptp.subsetRefl @t1278)) % 1.12/1.33 (define @t1280 () (=> tptp.notequalI2 @t1279)) % 1.12/1.33 (define @t1281 () (=> tptp.notequalI1 @t1280)) % 1.12/1.33 (define @t1282 () (=> tptp.notsubsetI @t1281)) % 1.12/1.33 (define @t1283 () (=> tptp.subsetE2 @t1282)) % 1.12/1.33 (define @t1284 () (=> tptp.subsetE @t1283)) % 1.12/1.33 (define @t1285 () (=> tptp.emptysetsubset @t1284)) % 1.12/1.33 (define @t1286 () (=> tptp.subsetI2 @t1285)) % 1.12/1.33 (define @t1287 () (=> tptp.eqimpsubset1 @t1286)) % 1.12/1.33 (define @t1288 () (=> tptp.eqimpsubset2 @t1287)) % 1.12/1.33 (define @t1289 () (=> tptp.subsetI1 @t1288)) % 1.12/1.33 (define @t1290 () (=> tptp.dsetconstr__Cong @t1289)) % 1.12/1.33 (define @t1291 () (=> tptp.descr__Cong @t1290)) % 1.12/1.33 (define @t1292 () (=> tptp.exuEu @t1291)) % 1.12/1.33 (define @t1293 () (=> tptp.omega__Cong @t1292)) % 1.12/1.33 (define @t1294 () (=> tptp.setunion__Cong @t1293)) % 1.12/1.33 (define @t1295 () (=> tptp.powerset__Cong @t1294)) % 1.12/1.33 (define @t1296 () (=> tptp.setadjoin__Cong @t1295)) % 1.12/1.33 (define @t1297 () (=> tptp.emptyset__Cong @t1296)) % 1.12/1.33 (define @t1298 () (=> tptp.exu__Cong @t1297)) % 1.12/1.33 (define @t1299 () (=> tptp.exuE3u @t1298)) % 1.12/1.33 (define @t1300 () (=> tptp.in__Cong @t1299)) % 1.12/1.33 (define @t1301 () (=> tptp.inCongP @t1300)) % 1.12/1.33 (define @t1302 () (=> tptp.exuI2 @t1301)) % 1.12/1.33 (define @t1303 () (=> tptp.exuI3 @t1302)) % 1.12/1.33 (define @t1304 () (=> tptp.exuI1 @t1303)) % 1.12/1.33 (define @t1305 () (=> tptp.notdallE @t1304)) % 1.12/1.33 (define @t1306 () (=> tptp.notdexE @t1305)) % 1.12/1.33 (define @t1307 () (=> tptp.prop2set2propI @t1306)) % 1.12/1.33 (define @t1308 () (=> tptp.prop2setI @t1307)) % 1.12/1.33 (define @t1309 () (=> tptp.quantDeMorgan4 @t1308)) % 1.12/1.33 (define @t1310 () (=> tptp.quantDeMorgan3 @t1309)) % 1.12/1.33 (define @t1311 () (=> tptp.quantDeMorgan2 @t1310)) % 1.12/1.33 (define @t1312 () (=> tptp.quantDeMorgan1 @t1311)) % 1.12/1.33 (define @t1313 () (=> tptp.vacuousDall @t1312)) % 1.12/1.33 (define @t1314 () (=> tptp.emptyE1 @t1313)) % 1.12/1.33 (define @t1315 () (=> tptp.upairsetIR @t1314)) % 1.12/1.33 (define @t1316 () (=> tptp.upairsetIL @t1315)) % 1.12/1.33 (define @t1317 () (=> tptp.upairsetE @t1316)) % 1.12/1.33 (define @t1318 () (=> tptp.singletonsswitch @t1317)) % 1.12/1.33 (define @t1319 () (=> tptp.eqinunit @t1318)) % 1.12/1.33 (define @t1320 () (=> tptp.notinsingleton @t1319)) % 1.12/1.33 (define @t1321 () (=> tptp.uniqinunit @t1320)) % 1.12/1.33 (define @t1322 () (=> tptp.nonemptyImpWitness @t1321)) % 1.12/1.33 (define @t1323 () (=> tptp.exuE2 @t1322)) % 1.12/1.33 (define @t1324 () (=> tptp.subPowSU @t1323)) % 1.12/1.33 (define @t1325 () (=> tptp.setunionE @t1324)) % 1.12/1.33 (define @t1326 () (=> tptp.setunionI @t1325)) % 1.12/1.33 (define @t1327 () (=> tptp.powersetE @t1326)) % 1.12/1.33 (define @t1328 () (=> tptp.emptyInPowerset @t1327)) % 1.12/1.33 (define @t1329 () (=> tptp.emptyinPowerset @t1328)) % 1.12/1.33 (define @t1330 () (=> tptp.powersetI @t1329)) % 1.12/1.33 (define @t1331 () (=> tptp.setoftrueEq @t1330)) % 1.12/1.33 (define @t1332 () (=> tptp.setadjoinOr @t1331)) % 1.12/1.33 (define @t1333 () (=> tptp.setadjoinE @t1332)) % 1.12/1.33 (define @t1334 () (=> tptp.setadjoinIR @t1333)) % 1.12/1.33 (define @t1335 () (=> tptp.emptyinunitempty @t1334)) % 1.12/1.33 (define @t1336 () (=> tptp.setadjoinIL @t1335)) % 1.12/1.33 (define @t1337 () (=> tptp.nonemptyI1 @t1336)) % 1.12/1.33 (define @t1338 () (=> tptp.nonemptyI @t1337)) % 1.12/1.33 (define @t1339 () (=> tptp.nonemptyE1 @t1338)) % 1.12/1.33 (define @t1340 () (=> tptp.setbeta @t1339)) % 1.12/1.33 (define @t1341 () (=> tptp.noeltsimpempty @t1340)) % 1.12/1.33 (define @t1342 () (=> tptp.emptyI @t1341)) % 1.12/1.33 (define @t1343 () (=> tptp.setext @t1342)) % 1.12/1.33 (define @t1344 () (=> tptp.exuE3e @t1343)) % 1.12/1.33 (define @t1345 () (=> tptp.notinemptyset @t1344)) % 1.12/1.33 (define @t1346 () (=> tptp.emptysetimpfalse @t1345)) % 1.12/1.33 (define @t1347 () (=> tptp.emptysetE @t1346)) % 1.12/1.33 (define @t1348 () (=> tptp.prop2setE @t1347)) % 1.12/1.33 (define @t1349 () (=> tptp.exuE1 @t1348)) % 1.12/1.33 (define @t1350 () (=> tptp.dsetconstrER @t1349)) % 1.12/1.33 (define @t1351 () (=> tptp.dsetconstrEL @t1350)) % 1.12/1.33 (define @t1352 () (=> tptp.dsetconstrI @t1351)) % 1.12/1.33 (define @t1353 () (=> tptp.descrp @t1352)) % 1.12/1.33 (define @t1354 () (=> tptp.wellorderingAx @t1353)) % 1.12/1.33 (define @t1355 () (=> tptp.foundationAx @t1354)) % 1.12/1.33 (define @t1356 () (=> tptp.replAx @t1355)) % 1.12/1.33 (define @t1357 () (=> tptp.omegaIndAx @t1356)) % 1.12/1.33 (define @t1358 () (=> tptp.omegaSAx @t1357)) % 1.12/1.33 (define @t1359 () (=> tptp.omega0Ax @t1358)) % 1.12/1.33 (define @t1360 () (=> tptp.setunionAx @t1359)) % 1.12/1.33 (define @t1361 () (=> tptp.powersetAx @t1360)) % 1.12/1.33 (define @t1362 () (=> tptp.setadjoinAx @t1361)) % 1.12/1.33 (define @t1363 () (=> tptp.emptysetAx @t1362)) % 1.12/1.33 (define @t1364 () (=> tptp.setextAx @t1363)) % 1.12/1.33 (define @t1365 () (not @t1364)) % 1.12/1.33 (define @t1366 () (lambda @t150 @t169)) % 1.12/1.33 (define @t1367 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.12/1.33 (define @t1368 () (lambda @t311 @t715)) % 1.12/1.33 (define @t1369 () (_ @t522 @t674)) % 1.12/1.33 (define @t1370 () (lambda @t457 @t1369)) % 1.12/1.33 (define @t1371 () (tptp.powerset @t2)) % 1.12/1.33 (define @t1372 () (@var "BOUND_VARIABLE_13405" $$unsorted)) % 1.12/1.33 (define @t1373 () (tptp.in (tptp.binintersect @t694 @t1372) @t1371)) % 1.12/1.33 (define @t1374 () (not (tptp.in @t1372 @t1371))) % 1.12/1.33 (define @t1375 () (tptp.in @t694 @t1371)) % 1.12/1.33 (define @t1376 () (not @t1375)) % 1.12/1.33 (define @t1377 () (or @t1376 @t1374 @t1373)) % 1.12/1.33 (define @t1378 () (@list @t2 @t694 @t1372)) % 1.12/1.33 (define @t1379 () (forall @t1378 @t1377)) % 1.12/1.33 (define @t1380 () (@var "BOUND_VARIABLE_13367" $$unsorted)) % 1.12/1.33 (define @t1381 () (tptp.in (tptp.if @t2 @t173 @t4 @t1380) (tptp.setadjoin @t4 (tptp.setadjoin @t1380 tptp.emptyset)))) % 1.12/1.33 (define @t1382 () (not (tptp.in @t1380 @t2))) % 1.12/1.33 (define @t1383 () (tptp.in @t4 @t2)) % 1.12/1.33 (define @t1384 () (not @t1383)) % 1.12/1.33 (define @t1385 () (or @t1384 @t1382 @t1381)) % 1.12/1.33 (define @t1386 () (@list @t2 @t173 @t4 @t1380)) % 1.12/1.33 (define @t1387 () (@var "BOUND_VARIABLE_13334" $$unsorted)) % 1.12/1.33 (define @t1388 () (= @t1387 (tptp.if @t2 false @t4 @t1387))) % 1.12/1.33 (define @t1389 () (not (tptp.in @t1387 @t2))) % 1.12/1.33 (define @t1390 () (or @t1384 @t1389 @t1388)) % 1.12/1.33 (define @t1391 () (@list @t2 @t4 @t1387)) % 1.12/1.33 (define @t1392 () (@var "BOUND_VARIABLE_13292" $$unsorted)) % 1.12/1.33 (define @t1393 () (= @t4 (tptp.if @t2 true @t4 @t1392))) % 1.12/1.33 (define @t1394 () (not (tptp.in @t1392 @t2))) % 1.12/1.33 (define @t1395 () (or @t1384 @t1394 @t1393)) % 1.12/1.33 (define @t1396 () (@list @t2 @t4 @t1392)) % 1.12/1.33 (define @t1397 () (@var "BOUND_VARIABLE_13257" $$unsorted)) % 1.12/1.33 (define @t1398 () (tptp.setunion @t694)) % 1.12/1.33 (define @t1399 () (not (tptp.in @t1397 @t694))) % 1.12/1.33 (define @t1400 () (tptp.singleton @t694)) % 1.12/1.33 (define @t1401 () (not @t1400)) % 1.12/1.33 (define @t1402 () (@list @t694 @t1397)) % 1.12/1.33 (define @t1403 () (@var "BOUND_VARIABLE_13229" $$unsorted)) % 1.12/1.33 (define @t1404 () (tptp.in (tptp.if @t2 @t173 @t4 @t1403) @t2)) % 1.12/1.33 (define @t1405 () (not (tptp.in @t1403 @t2))) % 1.12/1.33 (define @t1406 () (or @t1384 @t1405 @t1404)) % 1.12/1.33 (define @t1407 () (@list @t2 @t173 @t4 @t1403)) % 1.12/1.33 (define @t1408 () (@var "BOUND_VARIABLE_13190" $$unsorted)) % 1.12/1.33 (define @t1409 () (and @t173 @t743)) % 1.12/1.33 (define @t1410 () (not (tptp.in @t1408 @t2))) % 1.12/1.33 (define @t1411 () (@list @t2 @t173 @t4 @t1408)) % 1.12/1.33 (define @t1412 () (tptp.dsetconstr @t2 (lambda @t1064 @t743))) % 1.12/1.33 (define @t1413 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.12/1.33 (define @t1414 () (= @t1413 @t1412)) % 1.12/1.33 (define @t1415 () (@var "BOUND_VARIABLE_13137" $$unsorted)) % 1.12/1.33 (define @t1416 () (not (tptp.in @t1415 @t2))) % 1.12/1.33 (define @t1417 () (or @t1384 @t1416 @t1414)) % 1.12/1.33 (define @t1418 () (@list @t2 @t4 @t1415)) % 1.12/1.33 (define @t1419 () (tptp.in @t4 @t1412)) % 1.12/1.33 (define @t1420 () (@var "BOUND_VARIABLE_13074" $$unsorted)) % 1.12/1.33 (define @t1421 () (not (tptp.in @t1420 @t2))) % 1.12/1.33 (define @t1422 () (or @t1384 @t1421 @t1419)) % 1.12/1.33 (define @t1423 () (@list @t2 @t4 @t1420)) % 1.12/1.33 (define @t1424 () (@var "BOUND_VARIABLE_13011" $$unsorted)) % 1.12/1.33 (define @t1425 () (= @t289 @t1424)) % 1.12/1.33 (define @t1426 () (tptp.setadjoin @t1424 tptp.emptyset)) % 1.12/1.33 (define @t1427 () (not (tptp.in @t1424 @t2))) % 1.12/1.33 (define @t1428 () (@list @t2 @t4 @t1424)) % 1.12/1.33 (define @t1429 () (@var "BOUND_VARIABLE_12948" $$unsorted)) % 1.12/1.33 (define @t1430 () (= @t289 @t1429)) % 1.12/1.33 (define @t1431 () (not (tptp.in @t1429 @t2))) % 1.12/1.33 (define @t1432 () (@list @t2 @t4 @t1429)) % 1.12/1.33 (define @t1433 () (tptp.ap @t2 @t1 @t877 @t4)) % 1.12/1.33 (define @t1434 () (lambda @t9 @t1433)) % 1.12/1.33 (define @t1435 () (tptp.lam @t2 @t1 @t1434)) % 1.12/1.33 (define @t1436 () (= @t877 @t1435)) % 1.12/1.33 (define @t1437 () (tptp.funcSet @t2 @t1)) % 1.12/1.33 (define @t1438 () (tptp.in @t877 @t1437)) % 1.12/1.33 (define @t1439 () (not @t1438)) % 1.12/1.33 (define @t1440 () (@var "BOUND_VARIABLE_12877" $$unsorted)) % 1.12/1.33 (define @t1441 () (tptp.lam @t2 @t1 @t912)) % 1.12/1.33 (define @t1442 () (= (_ @t912 @t1440) (tptp.ap @t2 @t1 @t1441 @t1440))) % 1.12/1.33 (define @t1443 () (not (tptp.in @t1440 @t2))) % 1.12/1.33 (define @t1444 () (_ @t912 @t4)) % 1.12/1.33 (define @t1445 () (tptp.in @t1444 @t1)) % 1.12/1.33 (define @t1446 () (forall @t9 (or @t1384 @t1445))) % 1.12/1.33 (define @t1447 () (not @t1446)) % 1.12/1.33 (define @t1448 () (or @t1447 @t1443 @t1442)) % 1.12/1.33 (define @t1449 () (@list @t2 @t1 @t912 @t1440)) % 1.12/1.33 (define @t1450 () (forall @t1449 @t1448)) % 1.12/1.33 (define @t1451 () (=> @t1450 (=> (forall @t886 (or @t1439 @t1436)) (=> (forall @t1432 (or @t1384 @t1431 (tptp.in @t1429 (tptp.dsetconstr @t2 (lambda @t1064 @t1430))))) (=> (forall @t1428 (or @t1384 @t1427 (= @t1426 (tptp.dsetconstr @t2 (lambda @t1064 @t1425))))) (=> (forall @t1423 @t1422) (=> (forall @t1418 @t1417) (=> (forall @t1411 (or @t1384 @t1410 (tptp.singleton (tptp.dsetconstr @t2 (lambda @t1064 (or @t1409 (and @t1060 (= @t289 @t1408)))))))) (=> (forall @t1407 @t1406) (=> (forall @t1402 (or @t1401 @t1399 (= @t1398 @t1397))) (=> (forall @t1396 @t1395) (=> (forall @t1391 @t1390) (=> (forall @t1386 @t1385) @t1379))))))))))))) % 1.12/1.33 (define @t1452 () (tptp.func @t2 @t1 @t877)) % 1.12/1.33 (define @t1453 () (not @t1452)) % 1.12/1.33 (define @t1454 () (forall @t886 (or @t1453 @t1436))) % 1.12/1.33 (define @t1455 () (@var "BOUND_VARIABLE_12828" $$unsorted)) % 1.12/1.33 (define @t1456 () (= @t877 @t1455)) % 1.12/1.33 (define @t1457 () (not (forall @t9 (or @t1384 (= @t1433 (tptp.ap @t2 @t1 @t1455 @t4)))))) % 1.12/1.33 (define @t1458 () (not (tptp.in @t1455 @t1437))) % 1.12/1.33 (define @t1459 () (or @t1439 @t1458 @t1457 @t1456)) % 1.12/1.33 (define @t1460 () (@list @t2 @t1 @t877 @t1455)) % 1.12/1.33 (define @t1461 () (forall @t1460 @t1459)) % 1.12/1.33 (define @t1462 () (@var "BOUND_VARIABLE_12794" $$unsorted)) % 1.12/1.33 (define @t1463 () (= @t877 @t1462)) % 1.12/1.33 (define @t1464 () (not (forall @t9 (or @t1384 (= @t1433 (tptp.ap @t2 @t1 @t1462 @t4)))))) % 1.12/1.33 (define @t1465 () (not (tptp.func @t2 @t1 @t1462))) % 1.12/1.33 (define @t1466 () (or @t1453 @t1465 @t1464 @t1463)) % 1.12/1.33 (define @t1467 () (@list @t2 @t1 @t877 @t1462)) % 1.12/1.33 (define @t1468 () (forall @t1467 @t1466)) % 1.12/1.33 (define @t1469 () (@var "BOUND_VARIABLE_12758" $$unsorted)) % 1.12/1.33 (define @t1470 () (= @t932 @t1469)) % 1.12/1.33 (define @t1471 () (@var "BOUND_VARIABLE_12727" $$unsorted)) % 1.12/1.33 (define @t1472 () (tptp.kpair @t4 @t1471)) % 1.12/1.33 (define @t1473 () (tptp.in @t1472 @t932)) % 1.12/1.33 (define @t1474 () (not (tptp.in @t1471 @t1))) % 1.12/1.33 (define @t1475 () (@list @t4 @t1471)) % 1.12/1.33 (define @t1476 () (not (forall @t1475 (or @t1384 @t1474 (not (tptp.in @t1472 @t1469)) @t1473)))) % 1.12/1.33 (define @t1477 () (@var "BOUND_VARIABLE_12658" $$unsorted)) % 1.12/1.33 (define @t1478 () (tptp.kpair @t4 @t1477)) % 1.12/1.33 (define @t1479 () (not (tptp.in @t1478 @t932))) % 1.12/1.33 (define @t1480 () (not (tptp.in @t1477 @t1))) % 1.12/1.33 (define @t1481 () (@list @t4 @t1477)) % 1.12/1.33 (define @t1482 () (not (forall @t1481 (or @t1384 @t1480 @t1479 (tptp.in @t1478 @t1469))))) % 1.12/1.33 (define @t1483 () (tptp.cartprod @t2 @t1)) % 1.12/1.33 (define @t1484 () (not (tptp.subset @t1469 @t1483))) % 1.12/1.33 (define @t1485 () (tptp.subset @t932 @t1483)) % 1.12/1.33 (define @t1486 () (not @t1485)) % 1.12/1.33 (define @t1487 () (or @t1486 @t1484 @t1482 @t1476 @t1470)) % 1.12/1.33 (define @t1488 () (@list @t2 @t1 @t932 @t1469)) % 1.12/1.33 (define @t1489 () (forall @t1488 @t1487)) % 1.12/1.33 (define @t1490 () (@var "BOUND_VARIABLE_12692" $$unsorted)) % 1.12/1.33 (define @t1491 () (tptp.subset @t932 @t1490)) % 1.12/1.33 (define @t1492 () (not (forall @t1481 (or @t1384 @t1480 @t1479 (tptp.in @t1478 @t1490))))) % 1.12/1.33 (define @t1493 () (not (tptp.subset @t1490 @t1483))) % 1.12/1.33 (define @t1494 () (or @t1486 @t1493 @t1492 @t1491)) % 1.12/1.33 (define @t1495 () (@list @t2 @t1 @t932 @t1490)) % 1.12/1.33 (define @t1496 () (forall @t1495 @t1494)) % 1.12/1.33 (define @t1497 () (@var "BOUND_VARIABLE_12613" $$unsorted)) % 1.12/1.33 (define @t1498 () (tptp.ap @t2 @t1 @t877 @t1497)) % 1.12/1.33 (define @t1499 () (@var "BOUND_VARIABLE_12615" $$unsorted)) % 1.12/1.33 (define @t1500 () (not (tptp.in (tptp.kpair @t1497 @t1499) @t877))) % 1.12/1.33 (define @t1501 () (not (tptp.in @t1499 @t1))) % 1.12/1.33 (define @t1502 () (not (tptp.in @t1497 @t2))) % 1.12/1.33 (define @t1503 () (@list @t2 @t1 @t877 @t1497 @t1499)) % 1.12/1.33 (define @t1504 () (forall @t1503 (or @t1439 @t1502 @t1501 @t1500 (= @t1499 @t1498)))) % 1.12/1.33 (define @t1505 () (@var "BOUND_VARIABLE_12582" $$unsorted)) % 1.12/1.33 (define @t1506 () (@var "BOUND_VARIABLE_12580" $$unsorted)) % 1.12/1.33 (define @t1507 () (tptp.kpair @t1506 @t1505)) % 1.12/1.33 (define @t1508 () (tptp.in @t1507 @t877)) % 1.12/1.33 (define @t1509 () (@var "BOUND_VARIABLE_12578" $$unsorted)) % 1.12/1.33 (define @t1510 () (not (tptp.in @t1507 @t1509))) % 1.12/1.33 (define @t1511 () (not (tptp.in @t1505 @t1))) % 1.12/1.33 (define @t1512 () (not (tptp.in @t1506 @t2))) % 1.12/1.33 (define @t1513 () (not (forall @t9 (or @t1384 (= @t1433 (tptp.ap @t2 @t1 @t1509 @t4)))))) % 1.12/1.33 (define @t1514 () (not (tptp.func @t2 @t1 @t1509))) % 1.12/1.33 (define @t1515 () (or @t1453 @t1514 @t1513 @t1512 @t1511 @t1510 @t1508)) % 1.12/1.33 (define @t1516 () (@list @t2 @t1 @t877 @t1509 @t1506 @t1505)) % 1.12/1.33 (define @t1517 () (forall @t1516 @t1515)) % 1.12/1.33 (define @t1518 () (@var "BOUND_VARIABLE_12484" $$unsorted)) % 1.12/1.33 (define @t1519 () (tptp.ap @t2 @t1 @t877 @t1518)) % 1.12/1.33 (define @t1520 () (@var "BOUND_VARIABLE_12486" $$unsorted)) % 1.12/1.33 (define @t1521 () (not (tptp.in (tptp.kpair @t1518 @t1520) @t877))) % 1.12/1.33 (define @t1522 () (not (tptp.in @t1520 @t1))) % 1.12/1.33 (define @t1523 () (not (tptp.in @t1518 @t2))) % 1.12/1.33 (define @t1524 () (@list @t2 @t1 @t877 @t1518 @t1520)) % 1.12/1.33 (define @t1525 () (forall @t1524 (or @t1453 @t1523 @t1522 @t1521 (= @t1520 @t1519)))) % 1.12/1.33 (define @t1526 () (@var "BOUND_VARIABLE_12429" $$unsorted)) % 1.12/1.33 (define @t1527 () (tptp.in (tptp.kpair @t1526 (tptp.ap @t2 @t1 @t877 @t1526)) @t877)) % 1.12/1.33 (define @t1528 () (not (tptp.in @t1526 @t2))) % 1.12/1.33 (define @t1529 () (or @t1439 @t1528 @t1527)) % 1.12/1.33 (define @t1530 () (@list @t2 @t1 @t877 @t1526)) % 1.12/1.33 (define @t1531 () (forall @t1530 @t1529)) % 1.12/1.33 (define @t1532 () (@var "BOUND_VARIABLE_12408" $$unsorted)) % 1.12/1.33 (define @t1533 () (tptp.in (tptp.kpair @t1532 (tptp.ap @t2 @t1 @t877 @t1532)) @t877)) % 1.12/1.33 (define @t1534 () (not (tptp.in @t1532 @t2))) % 1.12/1.33 (define @t1535 () (or @t1453 @t1534 @t1533)) % 1.12/1.33 (define @t1536 () (@list @t2 @t1 @t877 @t1532)) % 1.12/1.33 (define @t1537 () (forall @t1536 @t1535)) % 1.12/1.33 (define @t1538 () (@var "BOUND_VARIABLE_12374" $$unsorted)) % 1.12/1.33 (define @t1539 () (@var "BOUND_VARIABLE_12372" $$unsorted)) % 1.12/1.33 (define @t1540 () (= @t1539 @t1538)) % 1.12/1.33 (define @t1541 () (not (_ @t143 @t1538))) % 1.12/1.33 (define @t1542 () (not (tptp.in @t1538 @t2))) % 1.12/1.33 (define @t1543 () (not (_ @t143 @t1539))) % 1.12/1.33 (define @t1544 () (not (tptp.in @t1539 @t2))) % 1.12/1.33 (define @t1545 () (tptp.dsetconstr @t2 @t143)) % 1.12/1.33 (define @t1546 () (tptp.singleton @t1545)) % 1.12/1.33 (define @t1547 () (not @t1546)) % 1.12/1.33 (define @t1548 () (or @t1547 @t1544 @t1543 @t1542 @t1541 @t1540)) % 1.12/1.33 (define @t1549 () (@list @t2 @t143 @t1539 @t1538)) % 1.12/1.33 (define @t1550 () (forall @t1549 @t1548)) % 1.12/1.33 (define @t1551 () (@var "BOUND_VARIABLE_12341" $$unsorted)) % 1.12/1.33 (define @t1552 () (@var "BOUND_VARIABLE_12339" (-> $$unsorted Bool))) % 1.12/1.33 (define @t1553 () (_ @t1552 @t1551)) % 1.12/1.33 (define @t1554 () (not (tptp.in @t1551 @t932))) % 1.12/1.33 (define @t1555 () (@var "BOUND_VARIABLE_12292" $$unsorted)) % 1.12/1.33 (define @t1556 () (tptp.kpair @t4 @t1555)) % 1.12/1.33 (define @t1557 () (not (tptp.in @t1556 @t932))) % 1.12/1.33 (define @t1558 () (not (tptp.in @t1555 @t1))) % 1.12/1.33 (define @t1559 () (@list @t4 @t1555)) % 1.12/1.33 (define @t1560 () (not (forall @t1559 (or @t1384 @t1558 @t1557 (_ @t1552 @t1556))))) % 1.12/1.33 (define @t1561 () (or @t1486 @t1560 @t1554 @t1553)) % 1.12/1.33 (define @t1562 () (@list @t2 @t1 @t932 @t1552 @t1551)) % 1.12/1.33 (define @t1563 () (forall @t1562 @t1561)) % 1.12/1.33 (define @t1564 () (forall @t918 (or @t1447 (tptp.in @t1441 @t1437)))) % 1.12/1.33 (define @t1565 () (forall @t918 (or @t1447 (tptp.func @t2 @t1 @t1441)))) % 1.12/1.33 (define @t1566 () (= @t19 @t1444)) % 1.12/1.33 (define @t1567 () (lambda @t135 @t1566)) % 1.12/1.33 (define @t1568 () (tptp.dpsetconstr @t2 @t1 @t1567)) % 1.12/1.33 (define @t1569 () (tptp.func @t2 @t1 @t1568)) % 1.12/1.33 (define @t1570 () (forall @t918 (or @t1447 @t1569))) % 1.12/1.33 (define @t1571 () (forall @t886 (or @t1453 @t1438))) % 1.12/1.33 (define @t1572 () (@var "BOUND_VARIABLE_12189" $$unsorted)) % 1.12/1.33 (define @t1573 () (tptp.in (tptp.ap @t2 @t1 @t877 @t1572) @t1)) % 1.12/1.33 (define @t1574 () (not (tptp.in @t1572 @t2))) % 1.12/1.33 (define @t1575 () (or @t1439 @t1574 @t1573)) % 1.12/1.33 (define @t1576 () (@list @t2 @t1 @t877 @t1572)) % 1.12/1.33 (define @t1577 () (forall @t1576 @t1575)) % 1.12/1.33 (define @t1578 () (forall @t886 (or @t1439 @t1452))) % 1.12/1.33 (define @t1579 () (@var "BOUND_VARIABLE_12158" $$unsorted)) % 1.12/1.33 (define @t1580 () (tptp.in (tptp.ap @t2 @t1 @t877 @t1579) @t1)) % 1.12/1.33 (define @t1581 () (not (tptp.in @t1579 @t2))) % 1.12/1.33 (define @t1582 () (or @t1453 @t1581 @t1580)) % 1.12/1.33 (define @t1583 () (@list @t2 @t1 @t877 @t1579)) % 1.12/1.33 (define @t1584 () (forall @t1583 @t1582)) % 1.12/1.33 (define @t1585 () (@var "BOUND_VARIABLE_12126" $$unsorted)) % 1.12/1.33 (define @t1586 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1585 @t19) @t877)))) @t1)) % 1.12/1.33 (define @t1587 () (not (tptp.in @t1585 @t2))) % 1.12/1.33 (define @t1588 () (or @t1453 @t1587 @t1586)) % 1.12/1.33 (define @t1589 () (@list @t2 @t1 @t877 @t1585)) % 1.12/1.33 (define @t1590 () (forall @t1589 @t1588)) % 1.12/1.33 (define @t1591 () (@var "BOUND_VARIABLE_12094" $$unsorted)) % 1.12/1.33 (define @t1592 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1591 @t19) @t877))))) % 1.12/1.33 (define @t1593 () (not (tptp.in @t1591 @t2))) % 1.12/1.33 (define @t1594 () (or @t1453 @t1593 @t1592)) % 1.12/1.33 (define @t1595 () (@list @t2 @t1 @t877 @t1591)) % 1.12/1.33 (define @t1596 () (forall @t1595 @t1594)) % 1.12/1.33 (define @t1597 () (_ @t67 @t4 @t19)) % 1.12/1.33 (define @t1598 () (tptp.dpsetconstr @t2 @t1 @t67)) % 1.12/1.33 (define @t1599 () (tptp.kpair @t4 @t19)) % 1.12/1.33 (define @t1600 () (tptp.in @t1599 @t1598)) % 1.12/1.33 (define @t1601 () (not @t1600)) % 1.12/1.33 (define @t1602 () (forall @t870 (or @t1601 @t1597))) % 1.12/1.33 (define @t1603 () (tptp.in @t19 @t1)) % 1.12/1.33 (define @t1604 () (forall @t870 (or @t1601 @t1603))) % 1.12/1.33 (define @t1605 () (forall @t870 (or @t1601 @t1383))) % 1.12/1.33 (define @t1606 () (@var "BOUND_VARIABLE_12035" $$unsorted)) % 1.12/1.33 (define @t1607 () (_ @t67 @t4 @t1606)) % 1.12/1.33 (define @t1608 () (not (tptp.in (tptp.kpair @t4 @t1606) @t1598))) % 1.12/1.33 (define @t1609 () (not (tptp.in @t1606 @t1))) % 1.12/1.33 (define @t1610 () (or @t1384 @t1609 @t1608 @t1607)) % 1.12/1.33 (define @t1611 () (@list @t2 @t1 @t67 @t4 @t1606)) % 1.12/1.33 (define @t1612 () (forall @t1611 @t1610)) % 1.12/1.33 (define @t1613 () (forall @t859 (tptp.subset @t1598 @t1483))) % 1.12/1.33 (define @t1614 () (@var "BOUND_VARIABLE_11979" $$unsorted)) % 1.12/1.33 (define @t1615 () (tptp.in (tptp.kpair @t4 @t1614) @t1598)) % 1.12/1.33 (define @t1616 () (not (_ @t67 @t4 @t1614))) % 1.12/1.33 (define @t1617 () (not (tptp.in @t1614 @t1))) % 1.12/1.33 (define @t1618 () (or @t1384 @t1617 @t1616 @t1615)) % 1.12/1.33 (define @t1619 () (@list @t2 @t1 @t67 @t4 @t1614)) % 1.12/1.33 (define @t1620 () (forall @t1619 @t1618)) % 1.12/1.33 (define @t1621 () (tptp.ksnd @t383)) % 1.12/1.33 (define @t1622 () (tptp.kfst @t383)) % 1.12/1.33 (define @t1623 () (tptp.kpair @t1622 @t1621)) % 1.12/1.33 (define @t1624 () (= @t383 @t1623)) % 1.12/1.33 (define @t1625 () (tptp.in @t383 @t1483)) % 1.12/1.33 (define @t1626 () (not @t1625)) % 1.12/1.33 (define @t1627 () (forall @t688 (or @t1626 @t1624))) % 1.12/1.33 (define @t1628 () (@var "BOUND_VARIABLE_11931" $$unsorted)) % 1.12/1.33 (define @t1629 () (= @t1628 (tptp.ksnd (tptp.kpair @t4 @t1628)))) % 1.12/1.33 (define @t1630 () (not (tptp.in @t1628 @t1))) % 1.12/1.33 (define @t1631 () (or @t1384 @t1630 @t1629)) % 1.12/1.33 (define @t1632 () (@list @t2 @t1 @t4 @t1628)) % 1.12/1.33 (define @t1633 () (forall @t1632 @t1631)) % 1.12/1.33 (define @t1634 () (@var "BOUND_VARIABLE_11904" $$unsorted)) % 1.12/1.33 (define @t1635 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t1634)))) % 1.12/1.33 (define @t1636 () (not (tptp.in @t1634 @t1))) % 1.12/1.33 (define @t1637 () (or @t1384 @t1636 @t1635)) % 1.12/1.33 (define @t1638 () (@list @t2 @t1 @t4 @t1634)) % 1.12/1.33 (define @t1639 () (forall @t1638 @t1637)) % 1.12/1.33 (define @t1640 () (tptp.in @t1599 @t1483)) % 1.12/1.33 (define @t1641 () (not @t1640)) % 1.12/1.33 (define @t1642 () (forall @t822 (or @t1641 @t1603))) % 1.12/1.33 (define @t1643 () (forall @t822 (or @t1641 @t1383))) % 1.12/1.33 (define @t1644 () (tptp.in @t1621 @t1)) % 1.12/1.33 (define @t1645 () (forall @t688 (or @t1626 @t1644))) % 1.12/1.33 (define @t1646 () (tptp.iskpair @t383)) % 1.12/1.33 (define @t1647 () (not @t1646)) % 1.12/1.33 (define @t1648 () (forall @t755 (or @t1647 @t1624))) % 1.12/1.33 (define @t1649 () (tptp.ksnd @t1599)) % 1.12/1.33 (define @t1650 () (= @t19 @t1649)) % 1.12/1.33 (define @t1651 () (forall @t135 @t1650)) % 1.12/1.33 (define @t1652 () (tptp.kpair @t1622 @t4)) % 1.12/1.33 (define @t1653 () (= @t383 @t1652)) % 1.12/1.33 (define @t1654 () (lambda @t9 @t1653)) % 1.12/1.33 (define @t1655 () (tptp.setunion @t383)) % 1.12/1.33 (define @t1656 () (tptp.dsetconstr @t1655 @t1654)) % 1.12/1.33 (define @t1657 () (tptp.singleton @t1656)) % 1.12/1.33 (define @t1658 () (forall @t755 (or @t1647 @t1657))) % 1.12/1.33 (define @t1659 () (tptp.kpair @t289 @t383)) % 1.12/1.33 (define @t1660 () (not (= @t1599 @t1659))) % 1.12/1.33 (define @t1661 () (forall @t776 (or @t1660 @t790))) % 1.12/1.33 (define @t1662 () (tptp.setadjoin @t383 tptp.emptyset)) % 1.12/1.33 (define @t1663 () (tptp.setadjoin @t289 @t1662)) % 1.12/1.33 (define @t1664 () (tptp.setadjoin @t1663 tptp.emptyset)) % 1.12/1.33 (define @t1665 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.12/1.33 (define @t1666 () (tptp.setadjoin @t1665 @t1664)) % 1.12/1.33 (define @t1667 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.12/1.33 (define @t1668 () (tptp.setadjoin @t4 @t1667)) % 1.12/1.33 (define @t1669 () (tptp.setadjoin @t1668 tptp.emptyset)) % 1.12/1.33 (define @t1670 () (tptp.setadjoin @t1413 @t1669)) % 1.12/1.33 (define @t1671 () (not (= @t1670 @t1666))) % 1.12/1.33 (define @t1672 () (forall @t776 (or @t1671 @t790))) % 1.12/1.33 (define @t1673 () (forall @t297 (or (not (= @t1668 @t1665)) @t129))) % 1.12/1.33 (define @t1674 () (not (= @t1670 (tptp.setadjoin @t1662 (tptp.setadjoin (tptp.setadjoin @t383 @t1662) tptp.emptyset))))) % 1.12/1.33 (define @t1675 () (or @t1674 @t790)) % 1.12/1.33 (define @t1676 () (@list @t4 @t19 @t383)) % 1.12/1.33 (define @t1677 () (forall @t1676 @t1675)) % 1.12/1.33 (define @t1678 () (tptp.setadjoin @t19 @t1667)) % 1.12/1.33 (define @t1679 () (= (tptp.setadjoin @t1667 (tptp.setadjoin @t1678 tptp.emptyset)) (tptp.setadjoin @t1667 tptp.emptyset))) % 1.12/1.33 (define @t1680 () (forall @t70 @t1679)) % 1.12/1.33 (define @t1681 () (= @t1667 @t1678)) % 1.12/1.33 (define @t1682 () (forall @t70 @t1681)) % 1.12/1.33 (define @t1683 () (forall @t776 (or @t1660 @t743))) % 1.12/1.33 (define @t1684 () (forall @t776 (or @t1671 @t743))) % 1.12/1.33 (define @t1685 () (tptp.in @t1622 @t2)) % 1.12/1.33 (define @t1686 () (forall @t688 (or @t1626 @t1685))) % 1.12/1.33 (define @t1687 () (tptp.kfst @t1599)) % 1.12/1.33 (define @t1688 () (= @t4 @t1687)) % 1.12/1.33 (define @t1689 () (forall @t135 @t1688)) % 1.12/1.33 (define @t1690 () (tptp.in @t1398 @t694)) % 1.12/1.33 (define @t1691 () (forall @t699 (or @t1401 @t1690))) % 1.12/1.33 (define @t1692 () (tptp.in @t1413 @t383)) % 1.12/1.33 (define @t1693 () (lambda @t9 @t1692)) % 1.12/1.33 (define @t1694 () (tptp.dsetconstr @t1655 @t1693)) % 1.12/1.33 (define @t1695 () (tptp.singleton @t1694)) % 1.12/1.33 (define @t1696 () (forall @t755 (or @t1647 @t1695))) % 1.12/1.33 (define @t1697 () (tptp.in @t1665 @t1670)) % 1.12/1.33 (define @t1698 () (forall @t297 (or (not @t1697) @t743))) % 1.12/1.33 (define @t1699 () (forall @t135 (or (not (= @t1667 @t1413)) @t129))) % 1.12/1.33 (define @t1700 () (@var "BOUND_VARIABLE_11564" $$unsorted)) % 1.12/1.33 (define @t1701 () (not (_ @t143 @t1700))) % 1.12/1.33 (define @t1702 () (not (tptp.in @t1700 @t2))) % 1.12/1.33 (define @t1703 () (@var "BOUND_VARIABLE_11537" $$unsorted)) % 1.12/1.33 (define @t1704 () (= @t4 @t1703)) % 1.12/1.33 (define @t1705 () (not (_ @t143 @t1703))) % 1.12/1.33 (define @t1706 () (not (tptp.in @t1703 @t2))) % 1.12/1.33 (define @t1707 () (_ @t143 @t4)) % 1.12/1.33 (define @t1708 () (not @t1707)) % 1.12/1.33 (define @t1709 () (or @t1384 @t1708 @t1706 @t1705 @t1704)) % 1.12/1.33 (define @t1710 () (@list @t4 @t1703)) % 1.12/1.33 (define @t1711 () (forall @t1710 @t1709)) % 1.12/1.33 (define @t1712 () (not @t1711)) % 1.12/1.33 (define @t1713 () (or @t1712 @t1546 @t1702 @t1701)) % 1.12/1.33 (define @t1714 () (@list @t2 @t143 @t1700)) % 1.12/1.33 (define @t1715 () (forall @t1714 @t1713)) % 1.12/1.33 (define @t1716 () (_ @t143 @t19)) % 1.12/1.33 (define @t1717 () (not @t1716)) % 1.12/1.33 (define @t1718 () (tptp.in @t19 @t2)) % 1.12/1.33 (define @t1719 () (not @t1718)) % 1.12/1.33 (define @t1720 () (forall @t70 (or @t1719 @t1717 @t129))) % 1.12/1.33 (define @t1721 () (not @t1720)) % 1.12/1.33 (define @t1722 () (forall @t159 (or @t1384 @t1708 @t1721 @t1546))) % 1.12/1.33 (define @t1723 () (forall @t9 (or @t1384 @t1708))) % 1.12/1.33 (define @t1724 () (not @t1723)) % 1.12/1.33 (define @t1725 () (forall @t311 (or @t1547 @t1724))) % 1.12/1.33 (define @t1726 () (tptp.setunion @t1413)) % 1.12/1.33 (define @t1727 () (forall @t9 (= @t4 @t1726))) % 1.12/1.33 (define @t1728 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.12/1.33 (define @t1729 () (tptp.setunion @t1728)) % 1.12/1.33 (define @t1730 () (tptp.subset @t2 @t1729)) % 1.12/1.33 (define @t1731 () (forall @t64 @t1730)) % 1.12/1.33 (define @t1732 () (tptp.subset @t1729 @t2)) % 1.12/1.33 (define @t1733 () (forall @t64 @t1732)) % 1.12/1.33 (define @t1734 () (tptp.in @t4 @t694)) % 1.12/1.33 (define @t1735 () (not @t1734)) % 1.12/1.33 (define @t1736 () (tptp.in @t694 @t2)) % 1.12/1.33 (define @t1737 () (not (forall @t699 (or (not @t1736) @t1735)))) % 1.12/1.33 (define @t1738 () (tptp.setunion @t2)) % 1.12/1.33 (define @t1739 () (tptp.in @t4 @t1738)) % 1.12/1.33 (define @t1740 () (not @t1739)) % 1.12/1.33 (define @t1741 () (forall @t46 (or @t1740 @t1737))) % 1.12/1.33 (define @t1742 () (forall @t688 (or @t1626 @t1646))) % 1.12/1.33 (define @t1743 () (@var "BOUND_VARIABLE_11446" $$unsorted)) % 1.12/1.33 (define @t1744 () (not (= @t383 (tptp.kpair @t4 @t1743)))) % 1.12/1.33 (define @t1745 () (not (tptp.in @t1743 @t1))) % 1.12/1.33 (define @t1746 () (or @t1384 @t1745 @t1744)) % 1.12/1.33 (define @t1747 () (@list @t4 @t1743)) % 1.12/1.33 (define @t1748 () (not (forall @t1747 @t1746))) % 1.12/1.33 (define @t1749 () (forall @t688 (or @t1626 @t1748))) % 1.12/1.33 (define @t1750 () (@var "BOUND_VARIABLE_11412" $$unsorted)) % 1.12/1.33 (define @t1751 () (tptp.in (tptp.kpair @t4 @t1750) @t1483)) % 1.12/1.33 (define @t1752 () (not (tptp.in @t1750 @t1))) % 1.12/1.33 (define @t1753 () (or @t1384 @t1752 @t1751)) % 1.12/1.33 (define @t1754 () (@list @t2 @t1 @t4 @t1750)) % 1.12/1.33 (define @t1755 () (forall @t1754 @t1753)) % 1.12/1.33 (define @t1756 () (tptp.binunion @t2 @t1)) % 1.12/1.33 (define @t1757 () (tptp.powerset @t1756)) % 1.12/1.33 (define @t1758 () (tptp.powerset @t1757)) % 1.12/1.33 (define @t1759 () (@var "BOUND_VARIABLE_11385" $$unsorted)) % 1.12/1.33 (define @t1760 () (tptp.in (tptp.kpair @t4 @t1759) @t1758)) % 1.12/1.33 (define @t1761 () (not (tptp.in @t1759 @t1))) % 1.12/1.33 (define @t1762 () (or @t1384 @t1761 @t1760)) % 1.12/1.33 (define @t1763 () (@list @t2 @t1 @t4 @t1759)) % 1.12/1.33 (define @t1764 () (forall @t1763 @t1762)) % 1.12/1.33 (define @t1765 () (@var "BOUND_VARIABLE_11355" $$unsorted)) % 1.12/1.33 (define @t1766 () (tptp.in (tptp.setadjoin @t1413 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1765 tptp.emptyset)) tptp.emptyset)) @t1758)) % 1.12/1.33 (define @t1767 () (not (tptp.in @t1765 @t1))) % 1.12/1.33 (define @t1768 () (or @t1384 @t1767 @t1766)) % 1.12/1.33 (define @t1769 () (@list @t2 @t1 @t4 @t1765)) % 1.12/1.33 (define @t1770 () (forall @t1769 @t1768)) % 1.12/1.33 (define @t1771 () (@var "BOUND_VARIABLE_11323" $$unsorted)) % 1.12/1.33 (define @t1772 () (tptp.subset (tptp.setadjoin @t1413 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t1771 tptp.emptyset)) tptp.emptyset)) @t1757)) % 1.12/1.33 (define @t1773 () (not (tptp.in @t1771 @t1))) % 1.12/1.33 (define @t1774 () (or @t1384 @t1773 @t1772)) % 1.12/1.33 (define @t1775 () (@list @t2 @t1 @t4 @t1771)) % 1.12/1.33 (define @t1776 () (forall @t1775 @t1774)) % 1.12/1.33 (define @t1777 () (@var "BOUND_VARIABLE_11295" $$unsorted)) % 1.12/1.33 (define @t1778 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t1777 tptp.emptyset)) @t1757)) % 1.12/1.33 (define @t1779 () (not (tptp.in @t1777 @t1))) % 1.12/1.33 (define @t1780 () (or @t1384 @t1779 @t1778)) % 1.12/1.33 (define @t1781 () (@list @t2 @t1 @t4 @t1777)) % 1.12/1.33 (define @t1782 () (forall @t1781 @t1780)) % 1.12/1.33 (define @t1783 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 1.12/1.33 (define @t1784 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t1783 tptp.emptyset)) @t1756)) % 1.12/1.33 (define @t1785 () (not (tptp.in @t1783 @t1))) % 1.12/1.33 (define @t1786 () (or @t1384 @t1785 @t1784)) % 1.12/1.33 (define @t1787 () (@list @t2 @t1 @t4 @t1783)) % 1.12/1.33 (define @t1788 () (forall @t1787 @t1786)) % 1.12/1.33 (define @t1789 () (= @t19 @t289)) % 1.12/1.33 (define @t1790 () (tptp.in @t289 @t1668)) % 1.12/1.33 (define @t1791 () (forall @t297 (or (not @t1790) @t743 @t1789))) % 1.12/1.33 (define @t1792 () (tptp.in @t1413 @t1757)) % 1.12/1.33 (define @t1793 () (forall @t245 (or @t1384 @t1792))) % 1.12/1.33 (define @t1794 () (tptp.in @t1413 @t1371)) % 1.12/1.33 (define @t1795 () (forall @t46 (or @t1384 @t1794))) % 1.12/1.33 (define @t1796 () (tptp.subset @t1413 @t2)) % 1.12/1.33 (define @t1797 () (forall @t46 (or @t1384 @t1796))) % 1.12/1.33 (define @t1798 () (tptp.iskpair @t1599)) % 1.12/1.33 (define @t1799 () (forall @t135 @t1798)) % 1.12/1.33 (define @t1800 () (tptp.iskpair @t1670)) % 1.12/1.33 (define @t1801 () (forall @t135 @t1800)) % 1.12/1.33 (define @t1802 () (tptp.setunion @t1670)) % 1.12/1.33 (define @t1803 () (tptp.in @t19 @t1802)) % 1.12/1.33 (define @t1804 () (forall @t135 @t1803)) % 1.12/1.33 (define @t1805 () (tptp.in @t4 @t1802)) % 1.12/1.33 (define @t1806 () (forall @t135 @t1805)) % 1.12/1.33 (define @t1807 () (tptp.in @t19 @t1668)) % 1.12/1.33 (define @t1808 () (forall @t135 @t1807)) % 1.12/1.33 (define @t1809 () (tptp.symdiff @t2 @t1)) % 1.12/1.33 (define @t1810 () (tptp.in @t4 @t1809)) % 1.12/1.33 (define @t1811 () (not @t1810)) % 1.12/1.33 (define @t1812 () (tptp.in @t4 @t1)) % 1.12/1.33 (define @t1813 () (forall @t245 (or @t1383 @t1812 @t1811))) % 1.12/1.33 (define @t1814 () (not @t1812)) % 1.12/1.33 (define @t1815 () (forall @t245 (or @t1384 @t1814 @t1811))) % 1.12/1.33 (define @t1816 () (forall @t245 (or @t1383 @t1814 @t1810))) % 1.12/1.33 (define @t1817 () (forall @t245 (or @t1384 @t1812 @t1810))) % 1.12/1.33 (define @t1818 () (and @t1384 @t1812)) % 1.12/1.33 (define @t1819 () (and @t1383 @t1814)) % 1.12/1.33 (define @t1820 () (forall @t245 (or @t1811 @t1819 @t1818))) % 1.12/1.33 (define @t1821 () (tptp.subset @t2 @t1)) % 1.12/1.33 (define @t1822 () (tptp.setminus @t2 @t1)) % 1.12/1.33 (define @t1823 () (= tptp.emptyset @t1822)) % 1.12/1.33 (define @t1824 () (forall @t12 (or (not @t1823) @t1821))) % 1.12/1.33 (define @t1825 () (tptp.subset @t1822 @t2)) % 1.12/1.33 (define @t1826 () (forall @t12 @t1825)) % 1.12/1.33 (define @t1827 () (tptp.in @t4 @t1822)) % 1.12/1.33 (define @t1828 () (not @t1827)) % 1.12/1.33 (define @t1829 () (forall @t245 (or @t1814 @t1828))) % 1.12/1.33 (define @t1830 () (forall @t245 (or @t1383 @t1828))) % 1.12/1.33 (define @t1831 () (forall @t245 (or @t1827 @t1812 @t1384))) % 1.12/1.33 (define @t1832 () (forall @t245 (or @t1827 @t1384 @t1812))) % 1.12/1.33 (define @t1833 () (not @t1821)) % 1.12/1.33 (define @t1834 () (forall @t12 (or @t1833 @t1823))) % 1.12/1.33 (define @t1835 () (forall @t245 (or @t1828 @t1814))) % 1.12/1.33 (define @t1836 () (forall @t245 (or @t1828 @t1383))) % 1.12/1.33 (define @t1837 () (forall @t245 (or @t1384 @t1812 @t1827))) % 1.12/1.33 (define @t1838 () (tptp.binintersect @t2 @t104)) % 1.12/1.33 (define @t1839 () (tptp.binintersect @t2 @t1)) % 1.12/1.33 (define @t1840 () (tptp.binunion @t1839 @t1838)) % 1.12/1.33 (define @t1841 () (tptp.binunion @t1 @t104)) % 1.12/1.33 (define @t1842 () (tptp.binintersect @t2 @t1841)) % 1.12/1.33 (define @t1843 () (forall @t457 (= @t1842 @t1840))) % 1.12/1.33 (define @t1844 () (= @t2 @t1839)) % 1.12/1.33 (define @t1845 () (forall @t12 (or (not @t1844) @t1821))) % 1.12/1.33 (define @t1846 () (= @t1 @t1839)) % 1.12/1.33 (define @t1847 () (tptp.subset @t1 @t2)) % 1.12/1.33 (define @t1848 () (not @t1847)) % 1.12/1.33 (define @t1849 () (forall @t12 (or @t1848 @t1846))) % 1.12/1.33 (define @t1850 () (tptp.subset @t1839 @t1)) % 1.12/1.33 (define @t1851 () (forall @t12 @t1850)) % 1.12/1.33 (define @t1852 () (forall @t9 (or @t1384 @t1814))) % 1.12/1.33 (define @t1853 () (not @t1852)) % 1.12/1.33 (define @t1854 () (forall @t12 (or @t1853 (= tptp.emptyset @t1839)))) % 1.12/1.33 (define @t1855 () (tptp.in @t4 @t1839)) % 1.12/1.33 (define @t1856 () (not @t1855)) % 1.12/1.33 (define @t1857 () (forall @t245 (or @t1856 @t1812))) % 1.12/1.33 (define @t1858 () (forall @t12 (or (not @t1846) @t1847))) % 1.12/1.33 (define @t1859 () (forall @t12 (or @t1833 @t1844))) % 1.12/1.33 (define @t1860 () (tptp.subset @t1839 @t2)) % 1.12/1.33 (define @t1861 () (forall @t12 @t1860)) % 1.12/1.33 (define @t1862 () (forall @t245 (or @t1856 @t1383))) % 1.12/1.33 (define @t1863 () (tptp.subset @t104 @t1839)) % 1.12/1.33 (define @t1864 () (tptp.subset @t104 @t1)) % 1.12/1.33 (define @t1865 () (tptp.subset @t104 @t2)) % 1.12/1.33 (define @t1866 () (forall @t457 (or (not @t1865) (not @t1864) @t1863))) % 1.12/1.33 (define @t1867 () (forall @t245 (or @t1384 @t1814 @t1855))) % 1.12/1.33 (define @t1868 () (tptp.subset @t1 @t1756)) % 1.12/1.33 (define @t1869 () (forall @t12 @t1868)) % 1.12/1.33 (define @t1870 () (tptp.subset @t2 @t1756)) % 1.12/1.33 (define @t1871 () (forall @t12 @t1870)) % 1.12/1.33 (define @t1872 () (tptp.in @t4 @t1756)) % 1.12/1.33 (define @t1873 () (not @t1872)) % 1.12/1.33 (define @t1874 () (forall @t245 (or @t1873 @t1383 @t1812))) % 1.12/1.33 (define @t1875 () (forall @t245 (or @t1814 @t1872))) % 1.12/1.33 (define @t1876 () (forall @t245 (or @t1384 @t1872))) % 1.12/1.33 (define @t1877 () (forall @t311 (tptp.subset @t1545 @t2))) % 1.12/1.33 (define @t1878 () (forall @t311 (tptp.in @t1545 @t1371))) % 1.12/1.33 (define @t1879 () (tptp.powerset @t1)) % 1.12/1.33 (define @t1880 () (tptp.subset @t1371 @t1879)) % 1.12/1.33 (define @t1881 () (forall @t12 (or @t1833 @t1880))) % 1.12/1.33 (define @t1882 () (tptp.in @t2 @t1371)) % 1.12/1.33 (define @t1883 () (forall @t64 @t1882)) % 1.12/1.33 (define @t1884 () (tptp.in @t1 @t1371)) % 1.12/1.33 (define @t1885 () (not @t1884)) % 1.12/1.33 (define @t1886 () (forall @t12 (or @t1885 @t1847))) % 1.12/1.33 (define @t1887 () (forall @t12 (or @t1848 @t1884))) % 1.12/1.33 (define @t1888 () (tptp.subset @t2 tptp.emptyset)) % 1.12/1.33 (define @t1889 () (forall @t64 (or (not @t1888) @t196))) % 1.12/1.33 (define @t1890 () (forall @t12 (or @t1833 @t1848 @t3))) % 1.12/1.33 (define @t1891 () (tptp.in @t2 @t1879)) % 1.12/1.33 (define @t1892 () (forall @t12 (or @t1833 @t1891))) % 1.12/1.33 (define @t1893 () (tptp.setadjoin @t4 @t1)) % 1.12/1.33 (define @t1894 () (tptp.subset @t2 @t1893)) % 1.12/1.33 (define @t1895 () (forall @t249 (or @t1833 @t1894))) % 1.12/1.33 (define @t1896 () (tptp.setadjoin @t4 @t2)) % 1.12/1.33 (define @t1897 () (tptp.subset @t2 @t1896)) % 1.12/1.33 (define @t1898 () (forall @t461 @t1897)) % 1.12/1.33 (define @t1899 () (tptp.subset @t2 @t104)) % 1.12/1.33 (define @t1900 () (tptp.subset @t1 @t104)) % 1.12/1.33 (define @t1901 () (forall @t457 (or @t1833 (not @t1900) @t1899))) % 1.12/1.33 (define @t1902 () (tptp.subset @t2 @t2)) % 1.12/1.33 (define @t1903 () (forall @t64 @t1902)) % 1.12/1.33 (define @t1904 () (tptp.subset @t1 @t1)) % 1.12/1.33 (define @t1905 () (forall @t41 @t1904)) % 1.12/1.33 (define @t1906 () (forall @t245 (or @t1384 @t1812 @t1833))) % 1.12/1.33 (define @t1907 () (forall @t245 (or @t1833 @t1812 @t1384))) % 1.12/1.33 (define @t1908 () (forall @t245 (or @t1833 @t1384 @t1812))) % 1.12/1.33 (define @t1909 () (tptp.subset tptp.emptyset @t2)) % 1.12/1.33 (define @t1910 () (forall @t64 @t1909)) % 1.12/1.33 (define @t1911 () (forall @t9 (or @t1384 @t1812))) % 1.12/1.33 (define @t1912 () (not @t1911)) % 1.12/1.33 (define @t1913 () (forall @t12 (or @t1912 @t1821))) % 1.12/1.33 (define @t1914 () (@var "BOUND_VARIABLE_10664" (-> $$unsorted Bool))) % 1.12/1.33 (define @t1915 () (tptp.dsetconstr @t1 @t1914)) % 1.12/1.33 (define @t1916 () (@var "BOUND_VARIABLE_10666" (-> $$unsorted Bool))) % 1.12/1.33 (define @t1917 () (tptp.dsetconstr @t1 @t1916)) % 1.12/1.33 (define @t1918 () (= @t1917 @t1915)) % 1.12/1.33 (define @t1919 () (= (_ @t1914 @t4) (_ @t1916 @t4))) % 1.12/1.33 (define @t1920 () (or @t1814 @t1919)) % 1.12/1.33 (define @t1921 () (not (forall @t9 @t1920))) % 1.12/1.33 (define @t1922 () (or @t1921 @t1918)) % 1.12/1.33 (define @t1923 () (@list @t1 @t1914 @t1916)) % 1.12/1.33 (define @t1924 () (forall @t1923 @t1922)) % 1.12/1.33 (define @t1925 () (@var "BOUND_VARIABLE_10603" $$unsorted)) % 1.12/1.33 (define @t1926 () (_ @t368 @t19)) % 1.12/1.33 (define @t1927 () (not @t1926)) % 1.12/1.33 (define @t1928 () (not (_ @t368 @t1925))) % 1.12/1.33 (define @t1929 () (@var "BOUND_VARIABLE_10594" $$unsorted)) % 1.12/1.33 (define @t1930 () (not (_ @t143 @t1929))) % 1.12/1.33 (define @t1931 () (tptp.descr @t143)) % 1.12/1.33 (define @t1932 () (= @t1931 (tptp.descr @t368))) % 1.12/1.33 (define @t1933 () (= @t1716 @t1926)) % 1.12/1.33 (define @t1934 () (forall @t70 @t1933)) % 1.12/1.33 (define @t1935 () (not @t1934)) % 1.12/1.33 (define @t1936 () (@list @t143 @t368 @t1929 @t1925)) % 1.12/1.33 (define @t1937 () (forall @t1936 (or @t1935 @t1932 @t1930 (not (forall @t70 (or @t1717 (= @t19 @t1929)))) @t1928 (not (forall @t70 (or @t1927 (= @t19 @t1925))))))) % 1.12/1.33 (define @t1938 () (@var "BOUND_VARIABLE_10436" $$unsorted)) % 1.12/1.33 (define @t1939 () (@var "BOUND_VARIABLE_10434" $$unsorted)) % 1.12/1.33 (define @t1940 () (= @t1939 @t1938)) % 1.12/1.33 (define @t1941 () (not (_ @t143 @t1938))) % 1.12/1.33 (define @t1942 () (not (_ @t143 @t1939))) % 1.12/1.33 (define @t1943 () (@var "BOUND_VARIABLE_10425" $$unsorted)) % 1.12/1.33 (define @t1944 () (not (_ @t143 @t1943))) % 1.12/1.33 (define @t1945 () (@list @t143 @t1943 @t1939 @t1938)) % 1.12/1.33 (define @t1946 () (forall @t1945 (or @t1944 (not (forall @t70 (or @t1717 (= @t19 @t1943)))) @t1942 @t1941 @t1940))) % 1.12/1.33 (define @t1947 () (not (forall @t70 (or @t1927 @t129)))) % 1.12/1.33 (define @t1948 () (_ @t368 @t4)) % 1.12/1.33 (define @t1949 () (forall @t9 (or (not @t1948) @t1947))) % 1.12/1.33 (define @t1950 () (not @t1949)) % 1.12/1.33 (define @t1951 () (forall @t70 (or @t1717 @t129))) % 1.12/1.33 (define @t1952 () (not @t1951)) % 1.12/1.33 (define @t1953 () (forall @t9 (or @t1708 @t1952))) % 1.12/1.33 (define @t1954 () (not @t1953)) % 1.12/1.33 (define @t1955 () (= @t1954 @t1950)) % 1.12/1.33 (define @t1956 () (forall @t378 (or @t1935 @t1955))) % 1.12/1.33 (define @t1957 () (@var "BOUND_VARIABLE_10332" $$unsorted)) % 1.12/1.33 (define @t1958 () (@list @t143 @t1957)) % 1.12/1.33 (define @t1959 () (forall @t1958 (or (not (forall @t70 (= @t1716 (= @t19 @t1957)))) @t1954))) % 1.12/1.33 (define @t1960 () (forall @t135 (or @t1708 @t1717 @t129))) % 1.12/1.33 (define @t1961 () (not @t1960)) % 1.12/1.33 (define @t1962 () (@var "BOUND_VARIABLE_10316" $$unsorted)) % 1.12/1.33 (define @t1963 () (not (_ @t143 @t1962))) % 1.12/1.33 (define @t1964 () (or @t1963 @t1961 @t1954)) % 1.12/1.33 (define @t1965 () (forall (@list @t143 @t1962) @t1964)) % 1.12/1.33 (define @t1966 () (=> @t1965 (=> @t1959 (=> @t1946 (=> @t1956 (=> @t1946 (=> @t1937 (=> @t1924 (=> @t1913 (=> @t1905 (=> @t1905 (=> @t1913 (=> @t1910 (=> @t1908 (=> @t1907 (=> @t1906 (=> @t1905 (=> @t1903 (=> @t1901 (=> @t1898 (=> @t1895 (=> @t1892 (=> @t1890 (=> @t1889 (=> @t1887 (=> @t1886 (=> @t1883 (=> @t1881 (=> @t1878 (=> @t1877 (=> @t1876 (=> @t1808 (=> @t1875 (=> @t1874 (=> @t1874 (=> @t1871 (=> @t1869 (=> @t1867 (=> @t1866 (=> @t1862 (=> @t1861 (=> @t1859 (=> @t1858 (=> @t1857 (=> @t1854 (=> @t1851 (=> @t1849 (=> @t1845 (=> @t1843 (=> @t1837 (=> @t1836 (=> @t1835 (=> @t1834 (=> @t1832 (=> @t1831 (=> @t1830 (=> @t1829 (=> @t1826 (=> @t1824 (=> @t1820 (=> @t1817 (=> @t1816 (=> @t1815 (=> @t1813 (=> @t1808 (=> @t1806 (=> @t1804 (=> @t1801 (=> @t1799 (=> @t1797 (=> @t1795 (=> @t1793 (=> @t1791 (=> @t1788 (=> @t1782 (=> @t1776 (=> @t1770 (=> @t1764 (=> @t1755 (=> @t1749 (=> @t1742 (=> @t1741 (=> @t1733 (=> @t1731 (=> @t1727 (=> @t1715 (=> @t1725 (=> @t1722 (=> @t1715 (=> @t1699 (=> @t1698 (=> @t1696 (=> @t1691 (=> @t1689 (=> @t1686 (=> @t1684 (=> @t1683 (=> @t1682 (=> @t1680 (=> @t1677 (=> @t1673 (=> @t1672 (=> @t1661 (=> @t1658 (=> @t1651 (=> @t1648 (=> @t1645 (=> @t1643 (=> @t1642 (=> @t1639 (=> @t1633 (=> @t1627 (=> @t1620 (=> @t1613 (=> @t1613 (=> @t1612 (=> @t1605 (=> @t1604 (=> @t1602 (=> @t1596 (=> @t1590 (=> @t1584 (=> @t1578 (=> @t1577 (=> @t1571 (=> @t1570 (=> @t1565 (=> @t1564 (=> @t1563 (=> @t1563 (=> @t1550 (=> @t1537 (=> @t1531 (=> @t1525 (=> @t1517 (=> @t1504 (=> @t1496 (=> @t1489 (=> @t1468 (=> @t1461 (=> @t1450 (=> @t1454 @t1451)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.12/1.33 (define @t1967 () (tptp.prop2set true)) % 1.12/1.33 (define @t1968 () (tptp.set2prop @t1967)) % 1.12/1.33 (define @t1969 () (=> @t1968 @t1966)) % 1.12/1.33 (define @t1970 () (tptp.in tptp.emptyset @t1967)) % 1.12/1.33 (define @t1971 () (=> @t1970 @t1969)) % 1.12/1.33 (define @t1972 () (tptp.in @t4 tptp.emptyset)) % 1.12/1.33 (define @t1973 () (not @t1972)) % 1.12/1.33 (define @t1974 () (forall @t314 (or @t1973 @t1707))) % 1.12/1.33 (define @t1975 () (=> @t1974 @t1971)) % 1.12/1.33 (define @t1976 () (@var "BOUND_VARIABLE_10225" $$unsorted)) % 1.12/1.33 (define @t1977 () (not (_ @t143 @t1976))) % 1.12/1.33 (define @t1978 () (not (tptp.in @t1976 @t2))) % 1.12/1.33 (define @t1979 () (not (= tptp.emptyset @t1545))) % 1.12/1.33 (define @t1980 () (or @t1979 @t1978 @t1977)) % 1.12/1.33 (define @t1981 () (@list @t2 @t143 @t1976)) % 1.12/1.33 (define @t1982 () (forall @t1981 @t1980)) % 1.12/1.33 (define @t1983 () (=> @t1982 @t1975)) % 1.12/1.33 (define @t1984 () (=> @t1808 @t1983)) % 1.12/1.33 (define @t1985 () (tptp.in @t4 @t1668)) % 1.12/1.33 (define @t1986 () (forall @t135 @t1985)) % 1.12/1.33 (define @t1987 () (=> @t1986 @t1984)) % 1.12/1.33 (define @t1988 () (=> @t1791 @t1987)) % 1.12/1.33 (define @t1989 () (tptp.in @t19 @t1413)) % 1.12/1.33 (define @t1990 () (tptp.in @t4 @t1667)) % 1.12/1.33 (define @t1991 () (not @t1990)) % 1.12/1.33 (define @t1992 () (forall @t135 (or @t1991 @t1989))) % 1.12/1.33 (define @t1993 () (=> @t1992 @t1988)) % 1.12/1.33 (define @t1994 () (tptp.in @t19 @t1667)) % 1.12/1.33 (define @t1995 () (forall @t70 @t1994)) % 1.12/1.33 (define @t1996 () (=> @t1995 @t1993)) % 1.12/1.33 (define @t1997 () (forall @t135 (or @t129 (not @t1989)))) % 1.12/1.33 (define @t1998 () (=> @t1997 @t1996)) % 1.12/1.33 (define @t1999 () (forall @t135 (or @t1991 @t129))) % 1.12/1.33 (define @t2000 () (=> @t1999 @t1998)) % 1.12/1.33 (define @t2001 () (forall @t9 @t1384)) % 1.12/1.33 (define @t2002 () (not @t2001)) % 1.12/1.33 (define @t2003 () (forall @t64 (or @t196 @t2002))) % 1.12/1.33 (define @t2004 () (=> @t2003 @t2000)) % 1.12/1.33 (define @t2005 () (@var "BOUND_VARIABLE_10110" $$unsorted)) % 1.12/1.33 (define @t2006 () (not (_ @t143 @t2005))) % 1.12/1.33 (define @t2007 () (forall @t70 (= @t129 @t1716))) % 1.12/1.33 (define @t2008 () (forall @t9 (not @t2007))) % 1.12/1.33 (define @t2009 () (not @t2008)) % 1.12/1.33 (define @t2010 () (@list @t143 @t2005)) % 1.12/1.33 (define @t2011 () (forall @t2010 (or @t2009 @t2006 (not (forall @t70 (or @t1717 (= @t19 @t2005))))))) % 1.12/1.33 (define @t2012 () (=> @t2011 @t2004)) % 1.12/1.33 (define @t2013 () (tptp.powerset @t1738)) % 1.12/1.33 (define @t2014 () (tptp.in @t4 @t2013)) % 1.12/1.33 (define @t2015 () (forall @t46 (or @t1384 @t2014))) % 1.12/1.33 (define @t2016 () (=> @t2015 @t2012)) % 1.12/1.33 (define @t2017 () (tptp.in @t1 @t2)) % 1.12/1.33 (define @t2018 () (not @t2017)) % 1.12/1.33 (define @t2019 () (forall @t41 (or @t1814 @t2018))) % 1.12/1.33 (define @t2020 () (not @t2019)) % 1.12/1.33 (define @t2021 () (forall @t46 (or @t1740 @t2020))) % 1.12/1.33 (define @t2022 () (=> @t2021 @t2016)) % 1.12/1.33 (define @t2023 () (forall @t249 (or @t1814 @t2018 @t1739))) % 1.12/1.33 (define @t2024 () (=> @t2023 @t2022)) % 1.12/1.33 (define @t2025 () (forall @t245 (or @t1885 @t1814 @t1383))) % 1.12/1.33 (define @t2026 () (=> @t2025 @t2024)) % 1.12/1.33 (define @t2027 () (tptp.in tptp.emptyset @t1371)) % 1.12/1.33 (define @t2028 () (forall @t64 @t2027)) % 1.12/1.33 (define @t2029 () (=> @t2028 @t2026)) % 1.12/1.33 (define @t2030 () (=> @t2028 @t2029)) % 1.12/1.33 (define @t2031 () (forall @t9 (or @t1814 @t1383))) % 1.12/1.33 (define @t2032 () (not @t2031)) % 1.12/1.33 (define @t2033 () (forall @t12 (or @t2032 @t1884))) % 1.12/1.33 (define @t2034 () (=> @t2033 @t2030)) % 1.12/1.33 (define @t2035 () (@var "BOUND_VARIABLE_41492" $$unsorted)) % 1.12/1.33 (define @t2036 () (lambda (@list @t2035) true)) % 1.12/1.33 (define @t2037 () (tptp.dsetconstr @t2 @t2036)) % 1.12/1.33 (define @t2038 () (forall @t64 (= @t2 @t2037))) % 1.12/1.33 (define @t2039 () (=> @t2038 @t2034)) % 1.12/1.33 (define @t2040 () (tptp.in @t19 @t1896)) % 1.12/1.33 (define @t2041 () (forall @t28 (or (not @t2040) @t129 @t1718))) % 1.12/1.33 (define @t2042 () (=> @t2041 @t2039)) % 1.12/1.33 (define @t2043 () (=> @t2041 @t2042)) % 1.12/1.33 (define @t2044 () (forall @t28 (or @t1719 @t2040))) % 1.12/1.33 (define @t2045 () (=> @t2044 @t2043)) % 1.12/1.33 (define @t2046 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.12/1.33 (define @t2047 () (tptp.in tptp.emptyset @t2046)) % 1.12/1.33 (define @t2048 () (=> @t221 @t2045)) % 1.12/1.33 (define @t2049 () (tptp.setadjoin @t4 @t19)) % 1.12/1.33 (define @t2050 () (tptp.in @t4 @t2049)) % 1.12/1.33 (define @t2051 () (forall @t135 @t2050)) % 1.12/1.33 (define @t2052 () (=> @t2051 @t2048)) % 1.12/1.33 (define @t2053 () (@var "BOUND_VARIABLE_9951" $$unsorted)) % 1.12/1.33 (define @t2054 () (not (tptp.in @t2053 tptp.emptyset))) % 1.12/1.33 (define @t2055 () (@list @t2053)) % 1.12/1.33 (define @t2056 () (forall @t2055 @t2054)) % 1.12/1.33 (define @t2057 () (=> @t2056 @t2052)) % 1.12/1.33 (define @t2058 () (forall @t159 (or @t1384 @t1708 @t1979))) % 1.12/1.33 (define @t2059 () (=> @t2058 @t2057)) % 1.12/1.33 (define @t2060 () (=> @t2003 @t2059)) % 1.12/1.33 (define @t2061 () (tptp.in @t4 @t1545)) % 1.12/1.33 (define @t2062 () (forall @t159 (or @t1384 (= @t1707 @t2061)))) % 1.12/1.33 (define @t2063 () (=> @t2062 @t2060)) % 1.12/1.33 (define @t2064 () (forall @t64 (or @t2002 @t196))) % 1.12/1.33 (define @t2065 () (=> @t2064 @t2063)) % 1.12/1.33 (define @t2066 () (=> @t2064 @t2065)) % 1.12/1.33 (define @t2067 () (or @t1912 @t2032 @t3)) % 1.12/1.33 (define @t2068 () (forall @t12 @t2067)) % 1.12/1.33 (define @t2069 () (=> @t2068 @t2066)) % 1.12/1.33 (define @t2070 () (@var "BOUND_VARIABLE_9848" $$unsorted)) % 1.12/1.33 (define @t2071 () (not (_ @t143 @t2070))) % 1.12/1.33 (define @t2072 () (forall @t9 @t1708)) % 1.12/1.33 (define @t2073 () (not @t2072)) % 1.12/1.33 (define @t2074 () (@list @t143 @t2070)) % 1.12/1.33 (define @t2075 () (forall @t2074 (or @t2073 @t2071 (not (forall @t70 (or @t1717 (= @t19 @t2070))))))) % 1.12/1.33 (define @t2076 () (=> @t2075 @t2069)) % 1.12/1.33 (define @t2077 () (forall @t9 @t1973)) % 1.12/1.33 (define @t2078 () (=> @t2077 @t2076)) % 1.12/1.33 (define @t2079 () (=> @t2077 @t2078)) % 1.12/1.33 (define @t2080 () (=> @t2077 @t2079)) % 1.12/1.33 (define @t2081 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.12/1.33 (define @t2082 () (forall @t9 @t2081)) % 1.12/1.33 (define @t2083 () (=> @t2082 @t2080)) % 1.12/1.33 (define @t2084 () (not @t2061)) % 1.12/1.33 (define @t2085 () (forall @t159 (or @t2084 @t1707))) % 1.12/1.33 (define @t2086 () (=> @t2085 @t2083)) % 1.12/1.33 (define @t2087 () (forall @t159 (or @t2084 @t1383))) % 1.12/1.33 (define @t2088 () (=> @t2087 @t2086)) % 1.12/1.33 (define @t2089 () (forall @t159 (or @t1384 @t1708 @t2061))) % 1.12/1.33 (define @t2090 () (=> @t2089 @t2088)) % 1.12/1.33 (define @t2091 () (@var "BOUND_VARIABLE_9748" $$unsorted)) % 1.12/1.33 (define @t2092 () (not (_ @t143 @t2091))) % 1.12/1.33 (define @t2093 () (_ @t143 @t1931)) % 1.12/1.33 (define @t2094 () (@list @t143 @t2091)) % 1.12/1.33 (define @t2095 () (forall @t2094 (or @t2093 @t2092 (not (forall @t70 (or @t1717 (= @t19 @t2091))))))) % 1.12/1.33 (define @t2096 () (=> @t2095 @t2090)) % 1.12/1.33 (define @t2097 () (@var "BOUND_VARIABLE_9668" $$unsorted)) % 1.12/1.33 (define @t2098 () (tptp.in @t2097 @t95)) % 1.12/1.33 (define @t2099 () (not (tptp.in @t2097 @t93))) % 1.12/1.33 (define @t2100 () (tptp.in @t4 @t93)) % 1.12/1.33 (define @t2101 () (tptp.in @t93 @t1)) % 1.12/1.33 (define @t2102 () (not @t2101)) % 1.12/1.33 (define @t2103 () (or @t2102 @t2100 @t2099 @t2098)) % 1.12/1.33 (define @t2104 () (@list @t93 @t2097)) % 1.12/1.33 (define @t2105 () (forall @t2104 @t2103)) % 1.12/1.33 (define @t2106 () (not @t2105)) % 1.12/1.33 (define @t2107 () (tptp.in @t19 @t104)) % 1.12/1.33 (define @t2108 () (tptp.in @t19 @t95)) % 1.12/1.33 (define @t2109 () (forall @t70 (or (not @t2108) (not @t2107)))) % 1.12/1.33 (define @t2110 () (not @t2109)) % 1.12/1.33 (define @t2111 () (tptp.in @t4 @t104)) % 1.12/1.33 (define @t2112 () (not @t2111)) % 1.12/1.33 (define @t2113 () (tptp.in @t95 @t1)) % 1.12/1.33 (define @t2114 () (not @t2113)) % 1.12/1.33 (define @t2115 () (not (forall @t112 (or @t2114 @t2112 @t2110 @t2106)))) % 1.12/1.33 (define @t2116 () (@var "BOUND_VARIABLE_9697" $$unsorted)) % 1.12/1.33 (define @t2117 () (not (tptp.in @t2116 @t104))) % 1.12/1.33 (define @t2118 () (forall @t9 (or @t2112 @t1383))) % 1.12/1.33 (define @t2119 () (not @t2118)) % 1.12/1.33 (define @t2120 () (or @t2119 @t2117 @t2115)) % 1.12/1.33 (define @t2121 () (forall (@list @t104 @t2116) @t2120)) % 1.12/1.33 (define @t2122 () (not @t2121)) % 1.12/1.33 (define @t2123 () (@var "BOUND_VARIABLE_9620" $$unsorted)) % 1.12/1.33 (define @t2124 () (tptp.in @t2123 @t104)) % 1.12/1.33 (define @t2125 () (not (tptp.in @t2123 @t95))) % 1.12/1.33 (define @t2126 () (@var "BOUND_VARIABLE_9614" $$unsorted)) % 1.12/1.33 (define @t2127 () (tptp.in @t2126 @t95)) % 1.12/1.33 (define @t2128 () (not (tptp.in @t2126 @t104))) % 1.12/1.33 (define @t2129 () (tptp.in @t104 @t1)) % 1.12/1.33 (define @t2130 () (not @t2129)) % 1.12/1.33 (define @t2131 () (or @t2130 @t2114 @t2128 @t2127 @t2125 @t2124)) % 1.12/1.33 (define @t2132 () (@list @t104 @t95 @t2126 @t2123)) % 1.12/1.33 (define @t2133 () (forall @t2132 @t2131)) % 1.12/1.33 (define @t2134 () (not @t2133)) % 1.12/1.33 (define @t2135 () (forall @t118 (or @t2130 (= @t2111 @t2107)))) % 1.12/1.33 (define @t2136 () (not @t2135)) % 1.12/1.33 (define @t2137 () (forall @t135 (or @t1384 @t1719 @t2136 @t129))) % 1.12/1.33 (define @t2138 () (not @t2137)) % 1.12/1.33 (define @t2139 () (@var "BOUND_VARIABLE_9563" $$unsorted)) % 1.12/1.33 (define @t2140 () (tptp.in @t2139 @t2)) % 1.12/1.33 (define @t2141 () (not (tptp.in @t2139 @t104))) % 1.12/1.33 (define @t2142 () (or @t2130 @t2141 @t2140)) % 1.12/1.33 (define @t2143 () (@list @t104 @t2139)) % 1.12/1.33 (define @t2144 () (forall @t2143 @t2142)) % 1.12/1.33 (define @t2145 () (not @t2144)) % 1.12/1.33 (define @t2146 () (or @t2145 @t2138 @t2134 @t2122)) % 1.12/1.33 (define @t2147 () (forall @t64 (not (forall @t41 @t2146)))) % 1.12/1.33 (define @t2148 () (=> @t2147 @t2096)) % 1.12/1.33 (define @t2149 () (forall @t9 (or @t1814 @t1384))) % 1.12/1.33 (define @t2150 () (not @t2149)) % 1.12/1.33 (define @t2151 () (not (forall @t41 (or @t2018 @t2150)))) % 1.12/1.33 (define @t2152 () (@var "BOUND_VARIABLE_9538" $$unsorted)) % 1.12/1.33 (define @t2153 () (not (tptp.in @t2152 @t2))) % 1.12/1.33 (define @t2154 () (or @t2153 @t2151)) % 1.12/1.33 (define @t2155 () (forall (@list @t2 @t2152) @t2154)) % 1.12/1.33 (define @t2156 () (=> @t2155 @t2148)) % 1.12/1.33 (define @t2157 () (_ @t67 @t19 @t4)) % 1.12/1.33 (define @t2158 () (not (forall @t70 (or @t1719 (not @t2157))))) % 1.12/1.33 (define @t2159 () (forall @t9 (= @t1812 @t2158))) % 1.12/1.33 (define @t2160 () (not (forall @t41 (not @t2159)))) % 1.12/1.33 (define @t2161 () (@var "BOUND_VARIABLE_9428" $$unsorted)) % 1.12/1.33 (define @t2162 () (= @t19 @t2161)) % 1.12/1.33 (define @t2163 () (not @t1597)) % 1.12/1.33 (define @t2164 () (not (forall @t70 (or @t2163 @t2162)))) % 1.12/1.33 (define @t2165 () (_ @t67 @t4 @t2161)) % 1.12/1.33 (define @t2166 () (@list @t2161)) % 1.12/1.33 (define @t2167 () (not (forall @t2166 (or (not @t2165) @t2164)))) % 1.12/1.33 (define @t2168 () (forall @t9 (or @t1384 @t2167))) % 1.12/1.33 (define @t2169 () (forall @t81 (or (not @t2168) @t2160))) % 1.12/1.33 (define @t2170 () (=> @t2169 @t2156)) % 1.12/1.33 (define @t2171 () (@var "BOUND_VARIABLE_9409" $$unsorted)) % 1.12/1.33 (define @t2172 () (tptp.in @t2171 @t2)) % 1.12/1.33 (define @t2173 () (not (tptp.in @t2171 tptp.omega))) % 1.12/1.33 (define @t2174 () (tptp.setadjoin @t4 @t4)) % 1.12/1.33 (define @t2175 () (tptp.in @t2174 @t2)) % 1.12/1.33 (define @t2176 () (tptp.in @t4 tptp.omega)) % 1.12/1.33 (define @t2177 () (not @t2176)) % 1.12/1.33 (define @t2178 () (forall @t9 (or @t2177 @t1384 @t2175))) % 1.12/1.33 (define @t2179 () (not @t2178)) % 1.12/1.33 (define @t2180 () (tptp.in tptp.emptyset @t2)) % 1.12/1.33 (define @t2181 () (not @t2180)) % 1.12/1.33 (define @t2182 () (or @t2181 @t2179 @t2173 @t2172)) % 1.12/1.33 (define @t2183 () (@list @t2 @t2171)) % 1.12/1.33 (define @t2184 () (forall @t2183 @t2182)) % 1.12/1.33 (define @t2185 () (=> @t2184 @t2170)) % 1.12/1.33 (define @t2186 () (tptp.in @t2174 tptp.omega)) % 1.12/1.33 (define @t2187 () (forall @t9 (or @t2177 @t2186))) % 1.12/1.33 (define @t2188 () (=> @t2187 @t2185)) % 1.12/1.33 (define @t2189 () (tptp.in tptp.emptyset tptp.omega)) % 1.12/1.33 (define @t2190 () (=> @t50 @t2188)) % 1.12/1.33 (define @t2191 () (forall @t46 (= @t2020 @t1739))) % 1.12/1.33 (define @t2192 () (=> @t2191 @t2190)) % 1.12/1.33 (define @t2193 () (forall @t12 (= @t2031 @t1884))) % 1.12/1.33 (define @t2194 () (=> @t2193 @t2192)) % 1.12/1.33 (define @t2195 () (or @t129 @t1718)) % 1.12/1.33 (define @t2196 () (forall @t28 (= @t2040 @t2195))) % 1.12/1.33 (define @t2197 () (=> @t2196 @t2194)) % 1.12/1.33 (define @t2198 () (=> @t2077 @t2197)) % 1.12/1.33 (define @t2199 () (forall @t9 (= @t1383 @t1812))) % 1.12/1.33 (define @t2200 () (forall @t12 (or (not @t2199) @t3))) % 1.12/1.33 (define @t2201 () (=> @t2200 @t2198)) % 1.12/1.33 (define @t2202 () (=> @t1454 (=> true @t1451))) % 1.12/1.33 (define @t2203 () (=> @t1450 @t2202)) % 1.12/1.33 (define @t2204 () (=> true (=> true @t2203))) % 1.12/1.33 (define @t2205 () (=> @t1461 @t2204)) % 1.12/1.33 (define @t2206 () (=> @t1468 @t2205)) % 1.12/1.33 (define @t2207 () (=> @t1489 @t2206)) % 1.12/1.33 (define @t2208 () (=> @t1496 @t2207)) % 1.12/1.33 (define @t2209 () (=> @t1504 @t2208)) % 1.12/1.33 (define @t2210 () (=> @t1517 @t2209)) % 1.12/1.33 (define @t2211 () (=> @t1525 @t2210)) % 1.12/1.33 (define @t2212 () (=> @t1531 @t2211)) % 1.12/1.33 (define @t2213 () (=> @t1537 @t2212)) % 1.12/1.33 (define @t2214 () (=> @t1550 @t2213)) % 1.12/1.33 (define @t2215 () (=> @t1563 @t2214)) % 1.12/1.33 (define @t2216 () (=> @t1563 @t2215)) % 1.12/1.33 (define @t2217 () (=> @t1564 @t2216)) % 1.12/1.33 (define @t2218 () (=> @t1565 @t2217)) % 1.12/1.33 (define @t2219 () (=> @t1570 @t2218)) % 1.12/1.33 (define @t2220 () (=> @t1571 @t2219)) % 1.12/1.33 (define @t2221 () (=> @t1577 @t2220)) % 1.12/1.33 (define @t2222 () (=> @t1578 @t2221)) % 1.12/1.33 (define @t2223 () (=> @t1584 @t2222)) % 1.12/1.33 (define @t2224 () (=> @t1590 @t2223)) % 1.12/1.33 (define @t2225 () (=> @t1596 @t2224)) % 1.12/1.33 (define @t2226 () (=> @t1602 @t2225)) % 1.12/1.33 (define @t2227 () (=> @t1604 @t2226)) % 1.12/1.33 (define @t2228 () (=> @t1605 @t2227)) % 1.12/1.33 (define @t2229 () (=> @t1612 @t2228)) % 1.12/1.33 (define @t2230 () (=> @t1613 @t2229)) % 1.12/1.33 (define @t2231 () (=> @t1613 @t2230)) % 1.12/1.33 (define @t2232 () (=> @t1620 @t2231)) % 1.12/1.33 (define @t2233 () (=> @t1627 @t2232)) % 1.12/1.33 (define @t2234 () (=> @t1633 @t2233)) % 1.12/1.33 (define @t2235 () (=> @t1639 @t2234)) % 1.12/1.33 (define @t2236 () (=> @t1642 (=> true @t2235))) % 1.12/1.33 (define @t2237 () (=> @t1643 @t2236)) % 1.12/1.33 (define @t2238 () (=> @t1645 @t2237)) % 1.12/1.33 (define @t2239 () (=> @t1648 @t2238)) % 1.12/1.33 (define @t2240 () (=> @t1651 @t2239)) % 1.12/1.33 (define @t2241 () (=> @t1658 @t2240)) % 1.12/1.33 (define @t2242 () (=> @t1661 @t2241)) % 1.12/1.33 (define @t2243 () (=> @t1672 @t2242)) % 1.12/1.33 (define @t2244 () (=> @t1673 @t2243)) % 1.12/1.33 (define @t2245 () (=> @t1677 @t2244)) % 1.12/1.33 (define @t2246 () (=> @t1680 @t2245)) % 1.12/1.33 (define @t2247 () (=> @t1682 @t2246)) % 1.12/1.33 (define @t2248 () (=> @t1683 @t2247)) % 1.12/1.33 (define @t2249 () (=> @t1684 @t2248)) % 1.12/1.33 (define @t2250 () (=> @t1686 @t2249)) % 1.12/1.33 (define @t2251 () (=> @t1689 @t2250)) % 1.12/1.33 (define @t2252 () (=> @t1691 @t2251)) % 1.12/1.33 (define @t2253 () (=> @t1696 @t2252)) % 1.12/1.33 (define @t2254 () (=> @t1698 @t2253)) % 1.12/1.33 (define @t2255 () (=> @t1699 @t2254)) % 1.12/1.33 (define @t2256 () (=> @t1715 @t2255)) % 1.12/1.33 (define @t2257 () (=> @t1722 @t2256)) % 1.12/1.33 (define @t2258 () (=> @t1725 @t2257)) % 1.12/1.33 (define @t2259 () (=> @t1715 @t2258)) % 1.12/1.33 (define @t2260 () (=> @t1727 @t2259)) % 1.12/1.33 (define @t2261 () (=> @t1731 @t2260)) % 1.12/1.33 (define @t2262 () (=> @t1733 @t2261)) % 1.12/1.33 (define @t2263 () (=> @t1741 @t2262)) % 1.12/1.33 (define @t2264 () (=> @t1742 @t2263)) % 1.12/1.33 (define @t2265 () (=> @t1749 @t2264)) % 1.12/1.33 (define @t2266 () (=> @t1755 @t2265)) % 1.12/1.33 (define @t2267 () (=> @t1764 @t2266)) % 1.12/1.33 (define @t2268 () (=> @t1770 @t2267)) % 1.12/1.33 (define @t2269 () (=> @t1776 @t2268)) % 1.12/1.33 (define @t2270 () (=> @t1782 @t2269)) % 1.12/1.33 (define @t2271 () (=> @t1788 @t2270)) % 1.12/1.33 (define @t2272 () (=> @t1791 @t2271)) % 1.12/1.33 (define @t2273 () (=> @t1793 @t2272)) % 1.12/1.33 (define @t2274 () (=> @t1795 @t2273)) % 1.12/1.33 (define @t2275 () (=> @t1797 @t2274)) % 1.12/1.33 (define @t2276 () (=> @t1799 @t2275)) % 1.12/1.33 (define @t2277 () (=> @t1801 @t2276)) % 1.12/1.33 (define @t2278 () (=> @t1804 @t2277)) % 1.12/1.33 (define @t2279 () (=> @t1806 @t2278)) % 1.12/1.33 (define @t2280 () (=> @t1808 @t2279)) % 1.12/1.33 (define @t2281 () (=> @t1813 @t2280)) % 1.12/1.33 (define @t2282 () (=> @t1815 @t2281)) % 1.12/1.33 (define @t2283 () (=> @t1816 @t2282)) % 1.12/1.33 (define @t2284 () (=> @t1817 @t2283)) % 1.12/1.33 (define @t2285 () (=> @t1820 @t2284)) % 1.12/1.33 (define @t2286 () (=> @t1824 @t2285)) % 1.12/1.33 (define @t2287 () (=> @t1826 @t2286)) % 1.12/1.33 (define @t2288 () (=> @t1829 @t2287)) % 1.12/1.33 (define @t2289 () (=> @t1830 @t2288)) % 1.12/1.33 (define @t2290 () (=> @t1831 @t2289)) % 1.12/1.33 (define @t2291 () (=> @t1832 @t2290)) % 1.12/1.33 (define @t2292 () (=> @t1834 @t2291)) % 1.12/1.33 (define @t2293 () (=> @t1835 @t2292)) % 1.12/1.33 (define @t2294 () (=> @t1836 @t2293)) % 1.12/1.33 (define @t2295 () (=> @t1837 @t2294)) % 1.12/1.33 (define @t2296 () (=> @t1843 @t2295)) % 1.12/1.33 (define @t2297 () (=> @t1845 @t2296)) % 1.12/1.33 (define @t2298 () (=> @t1849 @t2297)) % 1.12/1.33 (define @t2299 () (=> @t1851 @t2298)) % 1.12/1.33 (define @t2300 () (=> @t1854 @t2299)) % 1.12/1.33 (define @t2301 () (=> @t1857 @t2300)) % 1.12/1.33 (define @t2302 () (=> @t1858 @t2301)) % 1.12/1.33 (define @t2303 () (=> @t1859 @t2302)) % 1.12/1.33 (define @t2304 () (=> @t1861 @t2303)) % 1.12/1.33 (define @t2305 () (=> @t1862 @t2304)) % 1.12/1.33 (define @t2306 () (=> @t1866 @t2305)) % 1.12/1.33 (define @t2307 () (=> @t1867 @t2306)) % 1.12/1.33 (define @t2308 () (=> @t1869 @t2307)) % 1.12/1.33 (define @t2309 () (=> @t1871 @t2308)) % 1.12/1.33 (define @t2310 () (=> @t1874 @t2309)) % 1.12/1.33 (define @t2311 () (=> @t1874 @t2310)) % 1.12/1.33 (define @t2312 () (=> @t1875 @t2311)) % 1.12/1.33 (define @t2313 () (=> @t1808 @t2312)) % 1.12/1.33 (define @t2314 () (=> @t1876 @t2313)) % 1.12/1.33 (define @t2315 () (=> @t1877 @t2314)) % 1.12/1.33 (define @t2316 () (=> @t1878 @t2315)) % 1.12/1.33 (define @t2317 () (=> @t1881 @t2316)) % 1.12/1.33 (define @t2318 () (=> @t1883 @t2317)) % 1.12/1.33 (define @t2319 () (=> @t1886 @t2318)) % 1.12/1.33 (define @t2320 () (=> @t1887 @t2319)) % 1.12/1.33 (define @t2321 () (=> @t1889 @t2320)) % 1.12/1.33 (define @t2322 () (=> @t1890 @t2321)) % 1.12/1.33 (define @t2323 () (=> @t1892 @t2322)) % 1.12/1.33 (define @t2324 () (=> @t1895 @t2323)) % 1.12/1.33 (define @t2325 () (=> @t1898 @t2324)) % 1.12/1.33 (define @t2326 () (=> @t1901 @t2325)) % 1.12/1.33 (define @t2327 () (=> @t1903 @t2326)) % 1.12/1.33 (define @t2328 () (=> @t1905 (=> true @t2327))) % 1.12/1.33 (define @t2329 () (=> @t1906 @t2328)) % 1.12/1.33 (define @t2330 () (=> @t1907 @t2329)) % 1.12/1.33 (define @t2331 () (=> @t1908 @t2330)) % 1.12/1.33 (define @t2332 () (=> @t1910 @t2331)) % 1.12/1.33 (define @t2333 () (=> @t1913 @t2332)) % 1.12/1.33 (define @t2334 () (=> @t1905 @t2333)) % 1.12/1.33 (define @t2335 () (=> @t1905 @t2334)) % 1.12/1.33 (define @t2336 () (=> @t1913 @t2335)) % 1.12/1.33 (define @t2337 () (=> @t1924 @t2336)) % 1.12/1.33 (define @t2338 () (=> @t1937 @t2337)) % 1.12/1.33 (define @t2339 () (=> @t1946 @t2338)) % 1.12/1.33 (define @t2340 () (=> true (=> true @t2339))) % 1.12/1.33 (define @t2341 () (=> true @t2340)) % 1.12/1.33 (define @t2342 () (=> true @t2341)) % 1.12/1.33 (define @t2343 () (=> true @t2342)) % 1.12/1.33 (define @t2344 () (=> @t1956 @t2343)) % 1.12/1.33 (define @t2345 () (=> @t1946 @t2344)) % 1.12/1.33 (define @t2346 () (=> true (=> true @t2345))) % 1.12/1.33 (define @t2347 () (=> @t1959 @t2346)) % 1.12/1.33 (define @t2348 () (=> @t1965 @t2347)) % 1.12/1.33 (define @t2349 () (=> true (=> true @t2348))) % 1.12/1.33 (define @t2350 () (=> true @t2349)) % 1.12/1.33 (define @t2351 () (=> @t1968 @t2350)) % 1.12/1.33 (define @t2352 () (=> @t1970 @t2351)) % 1.12/1.33 (define @t2353 () (=> true (=> true @t2352))) % 1.12/1.33 (define @t2354 () (=> true @t2353)) % 1.12/1.33 (define @t2355 () (=> true @t2354)) % 1.12/1.33 (define @t2356 () (=> @t1974 @t2355)) % 1.12/1.33 (define @t2357 () (=> @t1982 @t2356)) % 1.12/1.33 (define @t2358 () (=> @t1808 @t2357)) % 1.12/1.33 (define @t2359 () (=> @t1986 @t2358)) % 1.12/1.33 (define @t2360 () (=> @t1791 @t2359)) % 1.12/1.33 (define @t2361 () (=> @t1992 @t2360)) % 1.12/1.33 (define @t2362 () (=> @t1995 @t2361)) % 1.12/1.33 (define @t2363 () (=> @t1997 @t2362)) % 1.12/1.33 (define @t2364 () (=> @t1999 @t2363)) % 1.12/1.33 (define @t2365 () (=> @t2003 @t2364)) % 1.12/1.33 (define @t2366 () (=> @t2011 @t2365)) % 1.12/1.33 (define @t2367 () (=> @t2015 @t2366)) % 1.12/1.33 (define @t2368 () (=> @t2021 @t2367)) % 1.12/1.33 (define @t2369 () (=> @t2023 @t2368)) % 1.12/1.33 (define @t2370 () (=> @t2025 @t2369)) % 1.12/1.33 (define @t2371 () (=> @t2028 @t2370)) % 1.12/1.33 (define @t2372 () (=> @t2028 @t2371)) % 1.12/1.33 (define @t2373 () (=> @t2033 @t2372)) % 1.12/1.33 (define @t2374 () (=> @t2038 @t2373)) % 1.12/1.33 (define @t2375 () (=> @t2041 @t2374)) % 1.12/1.33 (define @t2376 () (=> @t2041 @t2375)) % 1.12/1.33 (define @t2377 () (=> @t2044 @t2376)) % 1.12/1.33 (define @t2378 () (=> @t221 @t2377)) % 1.12/1.33 (define @t2379 () (=> @t2051 @t2378)) % 1.12/1.33 (define @t2380 () (=> @t2056 @t2379)) % 1.12/1.33 (define @t2381 () (=> @t2058 @t2380)) % 1.12/1.33 (define @t2382 () (=> @t2003 @t2381)) % 1.12/1.33 (define @t2383 () (=> @t2062 @t2382)) % 1.12/1.33 (define @t2384 () (=> @t2064 @t2383)) % 1.12/1.33 (define @t2385 () (=> @t2064 @t2384)) % 1.12/1.33 (define @t2386 () (=> @t2068 @t2385)) % 1.12/1.33 (define @t2387 () (=> @t2075 @t2386)) % 1.12/1.33 (define @t2388 () (=> @t2077 @t2387)) % 1.12/1.33 (define @t2389 () (=> @t2077 @t2388)) % 1.12/1.33 (define @t2390 () (=> @t2077 @t2389)) % 1.12/1.33 (define @t2391 () (=> @t2082 @t2390)) % 1.12/1.33 (define @t2392 () (=> @t2085 (=> true @t2391))) % 1.12/1.33 (define @t2393 () (=> @t2087 @t2392)) % 1.12/1.33 (define @t2394 () (=> @t2089 @t2393)) % 1.12/1.33 (define @t2395 () (=> @t2095 @t2394)) % 1.12/1.33 (define @t2396 () (=> @t2147 @t2395)) % 1.12/1.33 (define @t2397 () (=> @t2155 @t2396)) % 1.12/1.33 (define @t2398 () (=> @t2169 @t2397)) % 1.12/1.33 (define @t2399 () (=> @t2184 @t2398)) % 1.12/1.33 (define @t2400 () (=> @t2187 @t2399)) % 1.12/1.33 (define @t2401 () (=> @t50 @t2400)) % 1.12/1.33 (define @t2402 () (=> @t2191 @t2401)) % 1.12/1.33 (define @t2403 () (=> @t2193 @t2402)) % 1.12/1.33 (define @t2404 () (=> @t2196 @t2403)) % 1.12/1.33 (define @t2405 () (=> @t2077 @t2404)) % 1.12/1.33 (define @t2406 () (=> @t2200 @t2405)) % 1.12/1.33 (define @t2407 () (or @t1382 @t1381)) % 1.12/1.33 (define @t2408 () (or @t1384 @t2407)) % 1.12/1.33 (define @t2409 () (forall @t1386 @t2408)) % 1.12/1.33 (define @t2410 () (@list @t1380)) % 1.12/1.33 (define @t2411 () (forall @t2410 @t2408)) % 1.12/1.33 (define @t2412 () (forall @t2410 @t2407)) % 1.12/1.33 (define @t2413 () (@list @t19)) % 1.12/1.33 (define @t2414 () (or @t1384 @t2412)) % 1.12/1.33 (define @t2415 () (tptp.if @t2 @t173 @t4 @t19)) % 1.12/1.34 (define @t2416 () (tptp.in @t2415 @t1668)) % 1.12/1.34 (define @t2417 () (forall @t70 (or @t1719 @t2416))) % 1.12/1.34 (define @t2418 () (or @t197 @t2417)) % 1.12/1.34 (define @t2419 () (_ tptp.in @t2415)) % 1.12/1.34 (define @t2420 () (not @t21)) % 1.12/1.34 (define @t2421 () (or @t2420 @t1123)) % 1.12/1.34 (define @t2422 () (=> tptp.iftrueorfalse @t1379)) % 1.12/1.34 (define @t2423 () (or @t1384 false @t1389 @t1388)) % 1.12/1.34 (define @t2424 () (= @t1387 (tptp.if @t2 @t173 @t4 @t1387))) % 1.12/1.34 (define @t2425 () (not (= @t173 false))) % 1.12/1.34 (define @t2426 () (not @t1060)) % 1.12/1.34 (define @t2427 () (or @t173 @t1384 @t173 @t1389 @t2424)) % 1.12/1.34 (define @t2428 () (or @t1384 @t173 @t1389 @t2424)) % 1.12/1.34 (define @t2429 () (forall @t179 @t2428)) % 1.12/1.34 (define @t2430 () (forall @t1391 @t2429)) % 1.12/1.34 (define @t2431 () (forall (@list @t2 @t4 @t1387 @t173) @t2428)) % 1.12/1.34 (define @t2432 () (@list @t2 @t173 @t4 @t1387)) % 1.12/1.34 (define @t2433 () (or @t1389 @t2424)) % 1.12/1.34 (define @t2434 () (or @t1384 @t173 @t2433)) % 1.12/1.34 (define @t2435 () (forall @t2432 @t2434)) % 1.12/1.34 (define @t2436 () (@list @t1387)) % 1.12/1.34 (define @t2437 () (forall @t2436 @t2434)) % 1.12/1.34 (define @t2438 () (forall @t2436 @t2433)) % 1.12/1.34 (define @t2439 () (or @t1384 @t173 @t2438)) % 1.12/1.34 (define @t2440 () (forall @t70 (or @t1719 (= @t19 @t2415)))) % 1.12/1.34 (define @t2441 () (or @t197 @t173 @t2440)) % 1.12/1.34 (define @t2442 () (or @t173 @t2440)) % 1.12/1.34 (define @t2443 () (= @t19 @t1099)) % 1.12/1.34 (define @t2444 () (or @t2420 @t2443)) % 1.12/1.34 (define @t2445 () (forall @t70 @t2444)) % 1.12/1.34 (define @t2446 () (or @t173 @t2445)) % 1.12/1.34 (define @t2447 () (or @t173 @t2444)) % 1.12/1.34 (define @t2448 () (or @t2420 @t173 @t2443)) % 1.12/1.34 (define @t2449 () (=> @t1060 @t2443)) % 1.12/1.34 (define @t2450 () (=> tptp.iffalse @t2422)) % 1.12/1.34 (define @t2451 () (not true)) % 1.12/1.34 (define @t2452 () (or @t1384 @t2451 @t1394 @t1393)) % 1.12/1.34 (define @t2453 () (= @t4 (tptp.if @t2 @t173 @t4 @t1392))) % 1.12/1.34 (define @t2454 () (not (= @t173 true))) % 1.12/1.34 (define @t2455 () (or @t1060 @t1384 @t1060 @t1394 @t2453)) % 1.12/1.34 (define @t2456 () (or @t1384 @t1060 @t1394 @t2453)) % 1.12/1.34 (define @t2457 () (forall @t179 @t2456)) % 1.12/1.34 (define @t2458 () (forall @t1396 @t2457)) % 1.12/1.34 (define @t2459 () (forall (@list @t2 @t4 @t1392 @t173) @t2456)) % 1.12/1.34 (define @t2460 () (@list @t2 @t173 @t4 @t1392)) % 1.12/1.34 (define @t2461 () (or @t1394 @t2453)) % 1.12/1.34 (define @t2462 () (or @t1384 @t1060 @t2461)) % 1.12/1.34 (define @t2463 () (forall @t2460 @t2462)) % 1.12/1.34 (define @t2464 () (@list @t1392)) % 1.12/1.34 (define @t2465 () (forall @t2464 @t2462)) % 1.12/1.34 (define @t2466 () (forall @t2464 @t2461)) % 1.12/1.34 (define @t2467 () (or @t1384 @t1060 @t2466)) % 1.12/1.34 (define @t2468 () (forall @t70 (or @t1719 (= @t4 @t2415)))) % 1.12/1.34 (define @t2469 () (or @t197 @t1060 @t2468)) % 1.12/1.34 (define @t2470 () (or @t1060 @t2468)) % 1.12/1.34 (define @t2471 () (= @t4 @t1099)) % 1.12/1.34 (define @t2472 () (or @t2420 @t2471)) % 1.12/1.34 (define @t2473 () (forall @t70 @t2472)) % 1.12/1.34 (define @t2474 () (or @t1060 @t2473)) % 1.12/1.34 (define @t2475 () (or @t1060 @t2472)) % 1.12/1.34 (define @t2476 () (or @t2420 @t1060 @t2471)) % 1.12/1.34 (define @t2477 () (=> @t173 @t2471)) % 1.12/1.34 (define @t2478 () (=> tptp.iftrue @t2450)) % 1.12/1.34 (define @t2479 () (= @t1397 @t1398)) % 1.12/1.34 (define @t2480 () (or @t1401 @t1399 @t2479)) % 1.12/1.34 (define @t2481 () (or @t1399 @t2479)) % 1.12/1.34 (define @t2482 () (or @t1401 @t2481)) % 1.12/1.34 (define @t2483 () (forall @t1402 @t2482)) % 1.12/1.34 (define @t2484 () (@list @t1397)) % 1.12/1.34 (define @t2485 () (forall @t2484 @t2482)) % 1.12/1.34 (define @t2486 () (forall @t2484 @t2481)) % 1.12/1.34 (define @t2487 () (@list @t4)) % 1.12/1.34 (define @t2488 () (or @t1401 @t2486)) % 1.12/1.34 (define @t2489 () (forall @t9 (or @t1735 (= @t4 @t1398)))) % 1.12/1.34 (define @t2490 () (not @t760)) % 1.12/1.34 (define @t2491 () (or @t2490 @t2489)) % 1.12/1.34 (define @t2492 () (= @t4 @t758)) % 1.12/1.34 (define @t2493 () (not @t695)) % 1.12/1.34 (define @t2494 () (or @t2493 @t2492)) % 1.12/1.34 (define @t2495 () (=> tptp.theeq @t2478)) % 1.12/1.34 (define @t2496 () (or @t1405 @t1404)) % 1.12/1.34 (define @t2497 () (or @t1384 @t2496)) % 1.12/1.34 (define @t2498 () (forall @t1407 @t2497)) % 1.12/1.34 (define @t2499 () (@list @t1403)) % 1.12/1.34 (define @t2500 () (forall @t2499 @t2497)) % 1.12/1.34 (define @t2501 () (forall @t2499 @t2496)) % 1.12/1.34 (define @t2502 () (or @t1384 @t2501)) % 1.12/1.34 (define @t2503 () (tptp.in @t2415 @t2)) % 1.12/1.34 (define @t2504 () (forall @t70 (or @t1719 @t2503))) % 1.12/1.34 (define @t2505 () (or @t197 @t2504)) % 1.12/1.34 (define @t2506 () (or @t2420 @t1101)) % 1.12/1.34 (define @t2507 () (=> tptp.ifp @t2495)) % 1.12/1.34 (define @t2508 () (and @t1060 (= @t1408 @t289))) % 1.12/1.34 (define @t2509 () (or @t1409 @t2508)) % 1.12/1.34 (define @t2510 () (lambda @t1064 @t2509)) % 1.12/1.34 (define @t2511 () (tptp.dsetconstr @t2 @t2510)) % 1.12/1.34 (define @t2512 () (tptp.singleton @t2511)) % 1.12/1.34 (define @t2513 () (or @t1384 @t1410 @t2512)) % 1.12/1.34 (define @t2514 () (or @t1410 @t2512)) % 1.12/1.34 (define @t2515 () (or @t1384 @t2514)) % 1.12/1.34 (define @t2516 () (forall @t1411 @t2515)) % 1.12/1.34 (define @t2517 () (@list @t1408)) % 1.12/1.34 (define @t2518 () (forall @t2517 @t2515)) % 1.12/1.34 (define @t2519 () (forall @t2517 @t2514)) % 1.12/1.34 (define @t2520 () (or @t1384 @t2519)) % 1.12/1.34 (define @t2521 () (lambda @t1064 (or @t1409 (and @t1060 @t1789)))) % 1.12/1.34 (define @t2522 () (tptp.dsetconstr @t2 @t2521)) % 1.12/1.34 (define @t2523 () (tptp.singleton @t2522)) % 1.12/1.34 (define @t2524 () (forall @t70 (or @t1719 @t2523))) % 1.12/1.34 (define @t2525 () (or @t197 @t2524)) % 1.12/1.34 (define @t2526 () (_ @t155 @t2521)) % 1.12/1.34 (define @t2527 () (_ tptp.singleton @t2526)) % 1.12/1.34 (define @t2528 () (or @t2420 @t2527)) % 1.12/1.34 (define @t2529 () (=> tptp.ifSingleton @t2507)) % 1.12/1.34 (define @t2530 () (= @t289 @t1415)) % 1.12/1.34 (define @t2531 () (and @t2451 @t2530)) % 1.12/1.34 (define @t2532 () (and true @t743)) % 1.12/1.34 (define @t2533 () (or @t2532 @t2531)) % 1.12/1.34 (define @t2534 () (lambda @t1064 @t2533)) % 1.12/1.34 (define @t2535 () (tptp.dsetconstr @t2 @t2534)) % 1.12/1.34 (define @t2536 () (= @t1413 @t2535)) % 1.12/1.34 (define @t2537 () (or @t1384 @t2451 @t1416 @t2536)) % 1.12/1.34 (define @t2538 () (= @t1413 (tptp.dsetconstr @t2 (lambda @t1064 (or @t1409 (and @t1060 @t2530)))))) % 1.12/1.34 (define @t2539 () (or @t1060 @t1384 @t1060 @t1416 @t2538)) % 1.12/1.34 (define @t2540 () (or @t1384 @t1060 @t1416 @t2538)) % 1.12/1.34 (define @t2541 () (forall @t179 @t2540)) % 1.12/1.34 (define @t2542 () (forall @t1418 @t2541)) % 1.12/1.34 (define @t2543 () (forall (@list @t2 @t4 @t1415 @t173) @t2540)) % 1.12/1.34 (define @t2544 () (@list @t2 @t173 @t4 @t1415)) % 1.12/1.34 (define @t2545 () (and @t1060 (= @t1415 @t289))) % 1.12/1.34 (define @t2546 () (or @t1409 @t2545)) % 1.12/1.34 (define @t2547 () (lambda @t1064 @t2546)) % 1.12/1.34 (define @t2548 () (tptp.dsetconstr @t2 @t2547)) % 1.12/1.34 (define @t2549 () (= @t1413 @t2548)) % 1.12/1.34 (define @t2550 () (or @t1384 @t1060 @t1416 @t2549)) % 1.12/1.34 (define @t2551 () (or @t1416 @t2549)) % 1.12/1.34 (define @t2552 () (or @t1384 @t1060 @t2551)) % 1.12/1.34 (define @t2553 () (forall @t2544 @t2552)) % 1.12/1.34 (define @t2554 () (@list @t1415)) % 1.12/1.34 (define @t2555 () (forall @t2554 @t2552)) % 1.12/1.34 (define @t2556 () (forall @t2554 @t2551)) % 1.12/1.34 (define @t2557 () (or @t1384 @t1060 @t2556)) % 1.12/1.34 (define @t2558 () (forall @t70 (or @t1719 (= @t1413 @t2522)))) % 1.12/1.34 (define @t2559 () (or @t197 @t1060 @t2558)) % 1.12/1.34 (define @t2560 () (or @t1060 @t2558)) % 1.12/1.34 (define @t2561 () (= @t279 @t2526)) % 1.12/1.34 (define @t2562 () (or @t2420 @t2561)) % 1.12/1.34 (define @t2563 () (forall @t70 @t2562)) % 1.12/1.34 (define @t2564 () (or @t1060 @t2563)) % 1.12/1.34 (define @t2565 () (or @t1060 @t2562)) % 1.12/1.34 (define @t2566 () (or @t2420 @t1060 @t2561)) % 1.12/1.34 (define @t2567 () (=> @t173 @t2561)) % 1.12/1.34 (define @t2568 () (=> tptp.iftrueProp2 @t2529)) % 1.12/1.34 (define @t2569 () (= @t289 @t1420)) % 1.12/1.34 (define @t2570 () (and @t2451 @t2569)) % 1.12/1.34 (define @t2571 () (or @t2532 @t2570)) % 1.12/1.34 (define @t2572 () (lambda @t1064 @t2571)) % 1.12/1.34 (define @t2573 () (tptp.dsetconstr @t2 @t2572)) % 1.12/1.34 (define @t2574 () (tptp.in @t4 @t2573)) % 1.12/1.34 (define @t2575 () (or @t1384 @t2451 @t1421 @t2574)) % 1.12/1.34 (define @t2576 () (tptp.in @t4 (tptp.dsetconstr @t2 (lambda @t1064 (or @t1409 (and @t1060 @t2569)))))) % 1.12/1.34 (define @t2577 () (or @t1060 @t1384 @t1060 @t1421 @t2576)) % 1.12/1.34 (define @t2578 () (or @t1384 @t1060 @t1421 @t2576)) % 1.12/1.34 (define @t2579 () (forall @t179 @t2578)) % 1.12/1.34 (define @t2580 () (forall @t1423 @t2579)) % 1.12/1.34 (define @t2581 () (forall (@list @t2 @t4 @t1420 @t173) @t2578)) % 1.12/1.34 (define @t2582 () (@list @t2 @t173 @t4 @t1420)) % 1.12/1.34 (define @t2583 () (and @t1060 (= @t1420 @t289))) % 1.12/1.34 (define @t2584 () (or @t1409 @t2583)) % 1.12/1.34 (define @t2585 () (lambda @t1064 @t2584)) % 1.12/1.34 (define @t2586 () (tptp.dsetconstr @t2 @t2585)) % 1.12/1.34 (define @t2587 () (tptp.in @t4 @t2586)) % 1.12/1.34 (define @t2588 () (or @t1384 @t1060 @t1421 @t2587)) % 1.12/1.34 (define @t2589 () (or @t1421 @t2587)) % 1.12/1.34 (define @t2590 () (or @t1384 @t1060 @t2589)) % 1.12/1.34 (define @t2591 () (forall @t2582 @t2590)) % 1.12/1.34 (define @t2592 () (@list @t1420)) % 1.12/1.34 (define @t2593 () (forall @t2592 @t2590)) % 1.12/1.34 (define @t2594 () (forall @t2592 @t2589)) % 1.12/1.34 (define @t2595 () (or @t1384 @t1060 @t2594)) % 1.12/1.34 (define @t2596 () (tptp.in @t4 @t2522)) % 1.12/1.34 (define @t2597 () (forall @t70 (or @t1719 @t2596))) % 1.12/1.34 (define @t2598 () (or @t197 @t1060 @t2597)) % 1.12/1.34 (define @t2599 () (or @t1060 @t2597)) % 1.12/1.34 (define @t2600 () (_ @t5 @t2526)) % 1.12/1.34 (define @t2601 () (or @t2420 @t2600)) % 1.12/1.34 (define @t2602 () (forall @t70 @t2601)) % 1.12/1.34 (define @t2603 () (or @t1060 @t2602)) % 1.12/1.34 (define @t2604 () (or @t1060 @t2601)) % 1.12/1.34 (define @t2605 () (or @t2420 @t1060 @t2600)) % 1.12/1.34 (define @t2606 () (=> @t173 @t2600)) % 1.12/1.34 (define @t2607 () (=> tptp.iftrueProp1 @t2568)) % 1.12/1.34 (define @t2608 () (not false)) % 1.12/1.34 (define @t2609 () (and @t2608 @t1425)) % 1.12/1.34 (define @t2610 () (and false @t743)) % 1.12/1.34 (define @t2611 () (or @t2610 @t2609)) % 1.12/1.34 (define @t2612 () (lambda @t1064 @t2611)) % 1.12/1.34 (define @t2613 () (tptp.dsetconstr @t2 @t2612)) % 1.12/1.34 (define @t2614 () (= @t1426 @t2613)) % 1.12/1.34 (define @t2615 () (or @t1384 @t1427 @t2614)) % 1.12/1.34 (define @t2616 () (or @t1384 false @t1427 @t2614)) % 1.12/1.34 (define @t2617 () (= @t1426 (tptp.dsetconstr @t2 (lambda @t1064 (or @t1409 (and @t1060 @t1425)))))) % 1.12/1.34 (define @t2618 () (or @t173 @t1384 @t173 @t1427 @t2617)) % 1.12/1.34 (define @t2619 () (or @t1384 @t173 @t1427 @t2617)) % 1.12/1.34 (define @t2620 () (forall @t179 @t2619)) % 1.12/1.34 (define @t2621 () (forall @t1428 @t2620)) % 1.12/1.34 (define @t2622 () (forall (@list @t2 @t4 @t1424 @t173) @t2619)) % 1.12/1.34 (define @t2623 () (@list @t2 @t173 @t4 @t1424)) % 1.12/1.34 (define @t2624 () (and @t1060 (= @t1424 @t289))) % 1.12/1.34 (define @t2625 () (or @t1409 @t2624)) % 1.12/1.34 (define @t2626 () (lambda @t1064 @t2625)) % 1.12/1.34 (define @t2627 () (tptp.dsetconstr @t2 @t2626)) % 1.12/1.34 (define @t2628 () (= @t1426 @t2627)) % 1.12/1.34 (define @t2629 () (or @t1384 @t173 @t1427 @t2628)) % 1.12/1.34 (define @t2630 () (or @t1427 @t2628)) % 1.12/1.34 (define @t2631 () (or @t1384 @t173 @t2630)) % 1.12/1.34 (define @t2632 () (forall @t2623 @t2631)) % 1.12/1.34 (define @t2633 () (@list @t1424)) % 1.12/1.34 (define @t2634 () (forall @t2633 @t2631)) % 1.12/1.34 (define @t2635 () (forall @t2633 @t2630)) % 1.12/1.34 (define @t2636 () (or @t1384 @t173 @t2635)) % 1.12/1.34 (define @t2637 () (forall @t70 (or @t1719 (= @t1667 @t2522)))) % 1.12/1.34 (define @t2638 () (or @t197 @t173 @t2637)) % 1.12/1.34 (define @t2639 () (or @t173 @t2637)) % 1.12/1.34 (define @t2640 () (= @t275 @t2526)) % 1.12/1.34 (define @t2641 () (or @t2420 @t2640)) % 1.12/1.34 (define @t2642 () (forall @t70 @t2641)) % 1.12/1.34 (define @t2643 () (or @t173 @t2642)) % 1.12/1.34 (define @t2644 () (or @t173 @t2641)) % 1.12/1.34 (define @t2645 () (or @t2420 @t173 @t2640)) % 1.12/1.34 (define @t2646 () (=> @t1060 @t2640)) % 1.12/1.34 (define @t2647 () (=> tptp.iffalseProp2 @t2607)) % 1.12/1.34 (define @t2648 () (and @t2608 @t1430)) % 1.12/1.34 (define @t2649 () (or @t2610 @t2648)) % 1.12/1.34 (define @t2650 () (lambda @t1064 @t2649)) % 1.12/1.34 (define @t2651 () (tptp.dsetconstr @t2 @t2650)) % 1.12/1.34 (define @t2652 () (tptp.in @t1429 @t2651)) % 1.12/1.34 (define @t2653 () (or @t1384 @t1431 @t2652)) % 1.12/1.34 (define @t2654 () (or @t1384 false @t1431 @t2652)) % 1.12/1.34 (define @t2655 () (tptp.in @t1429 (tptp.dsetconstr @t2 (lambda @t1064 (or @t1409 (and @t1060 @t1430)))))) % 1.12/1.34 (define @t2656 () (or @t173 @t1384 @t173 @t1431 @t2655)) % 1.12/1.34 (define @t2657 () (or @t1384 @t173 @t1431 @t2655)) % 1.12/1.34 (define @t2658 () (forall @t179 @t2657)) % 1.12/1.34 (define @t2659 () (forall @t1432 @t2658)) % 1.12/1.34 (define @t2660 () (forall (@list @t2 @t4 @t1429 @t173) @t2657)) % 1.12/1.34 (define @t2661 () (@list @t2 @t173 @t4 @t1429)) % 1.12/1.34 (define @t2662 () (and @t1060 (= @t1429 @t289))) % 1.12/1.34 (define @t2663 () (or @t1409 @t2662)) % 1.12/1.34 (define @t2664 () (lambda @t1064 @t2663)) % 1.12/1.34 (define @t2665 () (tptp.dsetconstr @t2 @t2664)) % 1.12/1.34 (define @t2666 () (tptp.in @t1429 @t2665)) % 1.12/1.34 (define @t2667 () (or @t1384 @t173 @t1431 @t2666)) % 1.12/1.34 (define @t2668 () (or @t1431 @t2666)) % 1.12/1.34 (define @t2669 () (or @t1384 @t173 @t2668)) % 1.12/1.34 (define @t2670 () (forall @t2661 @t2669)) % 1.12/1.34 (define @t2671 () (@list @t1429)) % 1.12/1.34 (define @t2672 () (forall @t2671 @t2669)) % 1.12/1.34 (define @t2673 () (forall @t2671 @t2668)) % 1.12/1.34 (define @t2674 () (or @t1384 @t173 @t2673)) % 1.12/1.34 (define @t2675 () (tptp.in @t19 @t2522)) % 1.12/1.34 (define @t2676 () (forall @t70 (or @t1719 @t2675))) % 1.12/1.34 (define @t2677 () (or @t197 @t173 @t2676)) % 1.12/1.34 (define @t2678 () (or @t173 @t2676)) % 1.12/1.34 (define @t2679 () (_ @t20 @t2526)) % 1.12/1.34 (define @t2680 () (or @t2420 @t2679)) % 1.12/1.34 (define @t2681 () (forall @t70 @t2680)) % 1.12/1.34 (define @t2682 () (or @t173 @t2681)) % 1.12/1.34 (define @t2683 () (or @t173 @t2680)) % 1.12/1.34 (define @t2684 () (or @t2420 @t173 @t2679)) % 1.12/1.34 (define @t2685 () (=> @t1060 @t2679)) % 1.12/1.34 (define @t2686 () (=> tptp.iffalseProp1 @t2647)) % 1.12/1.34 (define @t2687 () (= @t877 @t1049)) % 1.12/1.34 (define @t2688 () (not @t904)) % 1.12/1.34 (define @t2689 () (or @t2688 @t2687)) % 1.12/1.34 (define @t2690 () (=> tptp.eta2 @t2686)) % 1.12/1.34 (define @t2691 () (or @t1443 @t1442)) % 1.12/1.34 (define @t2692 () (or @t1447 @t2691)) % 1.12/1.34 (define @t2693 () (forall @t1449 @t2692)) % 1.12/1.34 (define @t2694 () (@list @t1440)) % 1.12/1.34 (define @t2695 () (forall @t2694 @t2692)) % 1.12/1.34 (define @t2696 () (forall @t2694 @t2691)) % 1.12/1.34 (define @t2697 () (or @t1447 @t2696)) % 1.12/1.34 (define @t2698 () (forall @t9 (or @t1384 (= @t1444 (tptp.ap @t2 @t1 @t1441 @t4))))) % 1.12/1.34 (define @t2699 () (_ @t912 @t19)) % 1.12/1.34 (define @t2700 () (lambda @t70 @t2699)) % 1.12/1.34 (define @t2701 () (tptp.lam @t2 @t1 @t2700)) % 1.12/1.34 (define @t2702 () (tptp.ap @t2 @t1 @t2701 @t4)) % 1.12/1.34 (define @t2703 () (= @t1444 @t2702)) % 1.12/1.34 (define @t2704 () (or @t1384 @t2703)) % 1.12/1.34 (define @t2705 () (= @t913 @t1042)) % 1.12/1.34 (define @t2706 () (or @t197 @t2705)) % 1.12/1.34 (define @t2707 () (or @t197 @t915)) % 1.12/1.34 (define @t2708 () (=> tptp.beta2 @t2690)) % 1.12/1.34 (define @t2709 () (=> tptp.lam2lamEq @t2708)) % 1.12/1.34 (define @t2710 () (not @t884)) % 1.12/1.34 (define @t2711 () (or @t2710 @t2687)) % 1.12/1.34 (define @t2712 () (=> tptp.eta1 @t2709)) % 1.12/1.34 (define @t2713 () (=> tptp.beta1 @t2712)) % 1.12/1.34 (define @t2714 () (=> tptp.ap2apEq2 @t2713)) % 1.12/1.34 (define @t2715 () (=> tptp.ap2apEq1 @t2714)) % 1.12/1.34 (define @t2716 () (or @t1458 @t1457 @t1456)) % 1.12/1.34 (define @t2717 () (or @t1439 @t2716)) % 1.12/1.34 (define @t2718 () (forall @t1460 @t2717)) % 1.12/1.34 (define @t2719 () (@list @t1455)) % 1.12/1.34 (define @t2720 () (forall @t2719 @t2717)) % 1.12/1.34 (define @t2721 () (forall @t2719 @t2716)) % 1.12/1.34 (define @t2722 () (@list @t969)) % 1.12/1.34 (define @t2723 () (or @t1439 @t2721)) % 1.12/1.34 (define @t2724 () (tptp.ap @t2 @t1 @t969 @t4)) % 1.12/1.34 (define @t2725 () (forall @t9 (or @t1384 (= @t1433 @t2724)))) % 1.12/1.34 (define @t2726 () (not @t2725)) % 1.12/1.34 (define @t2727 () (tptp.in @t969 @t1437)) % 1.12/1.34 (define @t2728 () (forall @t981 (or (not @t2727) @t2726 @t1017))) % 1.12/1.34 (define @t2729 () (or @t2688 @t2728)) % 1.12/1.34 (define @t2730 () (not @t1025)) % 1.12/1.34 (define @t2731 () (or @t2730 @t2726 @t1017)) % 1.12/1.34 (define @t2732 () (or @t2726 @t1017)) % 1.12/1.34 (define @t2733 () (=> @t2725 @t1017)) % 1.12/1.34 (define @t2734 () (or @t197 @t976)) % 1.12/1.34 (define @t2735 () (=> tptp.funcext2 @t2715)) % 1.12/1.34 (define @t2736 () (or @t1465 @t1464 @t1463)) % 1.12/1.34 (define @t2737 () (or @t1453 @t2736)) % 1.12/1.34 (define @t2738 () (forall @t1467 @t2737)) % 1.12/1.34 (define @t2739 () (@list @t1462)) % 1.12/1.34 (define @t2740 () (forall @t2739 @t2737)) % 1.12/1.34 (define @t2741 () (forall @t2739 @t2736)) % 1.12/1.34 (define @t2742 () (or @t1453 @t2741)) % 1.12/1.34 (define @t2743 () (tptp.func @t2 @t1 @t969)) % 1.12/1.34 (define @t2744 () (not @t2743)) % 1.12/1.34 (define @t2745 () (forall @t981 (or @t2744 @t2726 @t1017))) % 1.12/1.34 (define @t2746 () (or @t2710 @t2745)) % 1.12/1.34 (define @t2747 () (not @t979)) % 1.12/1.34 (define @t2748 () (or @t2747 @t2726 @t1017)) % 1.12/1.34 (define @t2749 () (=> tptp.funcext @t2735)) % 1.12/1.34 (define @t2750 () (or @t1484 @t1482 @t1476 @t1470)) % 1.12/1.34 (define @t2751 () (or @t1486 @t2750)) % 1.12/1.34 (define @t2752 () (forall @t1488 @t2751)) % 1.12/1.34 (define @t2753 () (@list @t1469)) % 1.12/1.34 (define @t2754 () (forall @t2753 @t2751)) % 1.12/1.34 (define @t2755 () (forall @t2753 @t2750)) % 1.12/1.34 (define @t2756 () (@list @t989)) % 1.12/1.34 (define @t2757 () (or @t1486 @t2755)) % 1.12/1.34 (define @t2758 () (not (tptp.in @t1472 @t989))) % 1.12/1.34 (define @t2759 () (or @t1384 @t1474 @t2758 @t1473)) % 1.12/1.34 (define @t2760 () (forall @t1475 @t2759)) % 1.12/1.34 (define @t2761 () (not @t2760)) % 1.12/1.34 (define @t2762 () (tptp.in @t1478 @t989)) % 1.12/1.34 (define @t2763 () (or @t1384 @t1480 @t1479 @t2762)) % 1.12/1.34 (define @t2764 () (forall @t1481 @t2763)) % 1.12/1.34 (define @t2765 () (not @t2764)) % 1.12/1.34 (define @t2766 () (tptp.subset @t989 @t1483)) % 1.12/1.34 (define @t2767 () (not @t2766)) % 1.12/1.34 (define @t2768 () (forall @t1000 (or @t2767 @t2765 @t2761 @t1005))) % 1.12/1.34 (define @t2769 () (_ @t990 @t674)) % 1.12/1.34 (define @t2770 () (not @t2769)) % 1.12/1.34 (define @t2771 () (or @t2770 @t2768)) % 1.12/1.34 (define @t2772 () (_ tptp.subset @t989)) % 1.12/1.34 (define @t2773 () (_ @t2772 @t674)) % 1.12/1.34 (define @t2774 () (not @t2773)) % 1.12/1.34 (define @t2775 () (or @t2774 @t2765 @t2761 @t1005)) % 1.12/1.34 (define @t2776 () (or @t2765 @t2761 @t1005)) % 1.12/1.34 (define @t2777 () (=> @t2760 @t1005)) % 1.12/1.34 (define @t2778 () (=> @t2764 @t2777)) % 1.12/1.34 (define @t2779 () (or @t1474 @t2758 @t1473)) % 1.12/1.34 (define @t2780 () (or @t1384 @t2779)) % 1.12/1.34 (define @t2781 () (forall @t1475 @t2780)) % 1.12/1.34 (define @t2782 () (@list @t1471)) % 1.12/1.34 (define @t2783 () (forall @t2782 @t2780)) % 1.12/1.34 (define @t2784 () (forall @t2782 @t2779)) % 1.12/1.34 (define @t2785 () (or @t1384 @t2784)) % 1.12/1.34 (define @t2786 () (tptp.in @t1599 @t932)) % 1.12/1.34 (define @t2787 () (tptp.in @t1599 @t989)) % 1.12/1.34 (define @t2788 () (not @t1603)) % 1.12/1.34 (define @t2789 () (forall @t70 (or @t2788 (not @t2787) @t2786))) % 1.12/1.34 (define @t2790 () (or @t197 @t2789)) % 1.12/1.34 (define @t2791 () (_ tptp.in @t1599)) % 1.12/1.34 (define @t2792 () (not @t992)) % 1.12/1.34 (define @t2793 () (not @t354)) % 1.12/1.34 (define @t2794 () (or @t2793 @t2792 @t936)) % 1.12/1.34 (define @t2795 () (or @t1480 @t1479 @t2762)) % 1.12/1.34 (define @t2796 () (or @t1384 @t2795)) % 1.12/1.34 (define @t2797 () (forall @t1481 @t2796)) % 1.12/1.34 (define @t2798 () (@list @t1477)) % 1.12/1.34 (define @t2799 () (forall @t2798 @t2796)) % 1.12/1.34 (define @t2800 () (forall @t2798 @t2795)) % 1.12/1.34 (define @t2801 () (or @t1384 @t2800)) % 1.12/1.34 (define @t2802 () (not @t2786)) % 1.12/1.34 (define @t2803 () (forall @t70 (or @t2788 @t2802 @t2787))) % 1.12/1.34 (define @t2804 () (or @t197 @t2803)) % 1.12/1.34 (define @t2805 () (not @t936)) % 1.12/1.34 (define @t2806 () (or @t2793 @t2805 @t992)) % 1.12/1.34 (define @t2807 () (lambda @t118 @t1369)) % 1.12/1.34 (define @t2808 () (lambda (@list @t1 @t104) @t1369)) % 1.12/1.34 (define @t2809 () (_ @t1370 @t2)) % 1.12/1.34 (define @t2810 () (_ @t2809 @t1)) % 1.12/1.34 (define @t2811 () (_ @t2810 @t989)) % 1.12/1.34 (define @t2812 () (=> @t2811 @t1011)) % 1.12/1.34 (define @t2813 () (forall @t1000 @t2812)) % 1.12/1.34 (define @t2814 () (_ @t2810 @t932)) % 1.12/1.34 (define @t2815 () (=> @t2814 @t2813)) % 1.12/1.34 (define @t2816 () (forall @t945 @t2815)) % 1.12/1.34 (define @t2817 () (=> tptp.eqbreln @t2749)) % 1.12/1.34 (define @t2818 () (or @t1493 @t1492 @t1491)) % 1.12/1.34 (define @t2819 () (or @t1486 @t2818)) % 1.12/1.34 (define @t2820 () (forall @t1495 @t2819)) % 1.12/1.34 (define @t2821 () (@list @t1490)) % 1.12/1.34 (define @t2822 () (forall @t2821 @t2819)) % 1.12/1.34 (define @t2823 () (forall @t2821 @t2818)) % 1.12/1.34 (define @t2824 () (or @t1486 @t2823)) % 1.12/1.34 (define @t2825 () (tptp.subset @t932 @t989)) % 1.12/1.34 (define @t2826 () (forall @t1000 (or @t2767 @t2765 @t2825))) % 1.12/1.34 (define @t2827 () (or @t2770 @t2826)) % 1.12/1.34 (define @t2828 () (or @t2774 @t2765 @t991)) % 1.12/1.34 (define @t2829 () (=> @t2764 @t991)) % 1.12/1.34 (define @t2830 () (=> @t2811 @t997)) % 1.12/1.34 (define @t2831 () (forall @t1000 @t2830)) % 1.12/1.34 (define @t2832 () (=> @t2814 @t2831)) % 1.12/1.34 (define @t2833 () (forall @t945 @t2832)) % 1.12/1.34 (define @t2834 () (=> tptp.subbreln @t2817)) % 1.12/1.34 (define @t2835 () (= @t1498 @t1499)) % 1.12/1.34 (define @t2836 () (or @t1439 @t1502 @t1501 @t1500 @t2835)) % 1.12/1.34 (define @t2837 () (or @t1502 @t1501 @t1500 @t2835)) % 1.12/1.34 (define @t2838 () (or @t1439 @t2837)) % 1.12/1.34 (define @t2839 () (forall @t1503 @t2838)) % 1.12/1.34 (define @t2840 () (@list @t1497 @t1499)) % 1.12/1.34 (define @t2841 () (forall @t2840 @t2838)) % 1.12/1.34 (define @t2842 () (forall @t2840 @t2837)) % 1.12/1.34 (define @t2843 () (@var "BOUND_VARIABLE_12462" $$unsorted)) % 1.12/1.34 (define @t2844 () (@list @t4 @t2843)) % 1.12/1.34 (define @t2845 () (or @t1439 @t2842)) % 1.12/1.34 (define @t2846 () (not (tptp.in (tptp.kpair @t4 @t2843) @t877))) % 1.12/1.34 (define @t2847 () (not (tptp.in @t2843 @t1))) % 1.12/1.34 (define @t2848 () (@list @t4 @t2843)) % 1.12/1.34 (define @t2849 () (forall @t2848 (or @t1384 @t2847 @t2846 (= @t1433 @t2843)))) % 1.12/1.34 (define @t2850 () (or @t2688 @t2849)) % 1.12/1.34 (define @t2851 () (= @t2843 @t1433)) % 1.12/1.34 (define @t2852 () (or @t1384 @t2847 @t2846 @t2851)) % 1.12/1.34 (define @t2853 () (or @t2847 @t2846 @t2851)) % 1.12/1.34 (define @t2854 () (or @t1384 @t2853)) % 1.12/1.34 (define @t2855 () (forall @t2848 @t2854)) % 1.12/1.34 (define @t2856 () (@list @t2843)) % 1.12/1.34 (define @t2857 () (forall @t2856 @t2854)) % 1.12/1.34 (define @t2858 () (forall @t2856 @t2853)) % 1.12/1.34 (define @t2859 () (or @t1384 @t2858)) % 1.12/1.34 (define @t2860 () (tptp.in @t1599 @t877)) % 1.12/1.34 (define @t2861 () (forall @t70 (or @t2788 (not @t2860) (= @t19 @t1433)))) % 1.12/1.34 (define @t2862 () (or @t197 @t2861)) % 1.12/1.34 (define @t2863 () (= @t19 @t896)) % 1.12/1.34 (define @t2864 () (not @t878)) % 1.12/1.34 (define @t2865 () (or @t2793 @t2864 @t2863)) % 1.12/1.34 (define @t2866 () (=> @t878 @t2863)) % 1.12/1.34 (define @t2867 () (=> tptp.funcGraphProp4 @t2834)) % 1.12/1.34 (define @t2868 () (or @t1514 @t1513 @t1512 @t1511 @t1510 @t1508)) % 1.12/1.34 (define @t2869 () (or @t1453 @t2868)) % 1.12/1.34 (define @t2870 () (forall @t1516 @t2869)) % 1.12/1.34 (define @t2871 () (@list @t1509 @t1506 @t1505)) % 1.12/1.34 (define @t2872 () (forall @t2871 @t2869)) % 1.12/1.34 (define @t2873 () (forall @t2871 @t2868)) % 1.12/1.34 (define @t2874 () (@var "BOUND_VARIABLE_12556" $$unsorted)) % 1.12/1.34 (define @t2875 () (@var "BOUND_VARIABLE_12554" $$unsorted)) % 1.12/1.34 (define @t2876 () (or @t1453 @t2873)) % 1.12/1.34 (define @t2877 () (tptp.kpair @t2875 @t2874)) % 1.12/1.34 (define @t2878 () (tptp.in @t2877 @t877)) % 1.12/1.34 (define @t2879 () (not (tptp.in @t2877 @t969))) % 1.12/1.34 (define @t2880 () (not (tptp.in @t2874 @t1))) % 1.12/1.34 (define @t2881 () (not (tptp.in @t2875 @t2))) % 1.12/1.34 (define @t2882 () (or @t2744 @t2726 @t2881 @t2880 @t2879 @t2878)) % 1.12/1.34 (define @t2883 () (@list @t969 @t2875 @t2874)) % 1.12/1.34 (define @t2884 () (forall @t2883 @t2882)) % 1.12/1.34 (define @t2885 () (or @t2710 @t2884)) % 1.12/1.34 (define @t2886 () (or @t2881 @t2880 @t2879 @t2878)) % 1.12/1.34 (define @t2887 () (or @t2744 @t2726 @t2886)) % 1.12/1.34 (define @t2888 () (forall @t2883 @t2887)) % 1.12/1.34 (define @t2889 () (@list @t2875 @t2874)) % 1.12/1.34 (define @t2890 () (forall @t2889 @t2887)) % 1.12/1.34 (define @t2891 () (forall @t2889 @t2886)) % 1.12/1.34 (define @t2892 () (@var "BOUND_VARIABLE_12528" $$unsorted)) % 1.12/1.34 (define @t2893 () (or @t2744 @t2726 @t2891)) % 1.12/1.34 (define @t2894 () (tptp.kpair @t4 @t2892)) % 1.12/1.34 (define @t2895 () (tptp.in @t2894 @t877)) % 1.12/1.34 (define @t2896 () (not (tptp.in @t2894 @t969))) % 1.12/1.34 (define @t2897 () (not (tptp.in @t2892 @t1))) % 1.12/1.34 (define @t2898 () (or @t1384 @t2897 @t2896 @t2895)) % 1.12/1.34 (define @t2899 () (@list @t4 @t2892)) % 1.12/1.34 (define @t2900 () (forall @t2899 @t2898)) % 1.12/1.34 (define @t2901 () (or @t2747 @t2726 @t2900)) % 1.12/1.34 (define @t2902 () (=> @t2725 @t2900)) % 1.12/1.34 (define @t2903 () (or @t2897 @t2896 @t2895)) % 1.12/1.34 (define @t2904 () (or @t1384 @t2903)) % 1.12/1.34 (define @t2905 () (forall @t2899 @t2904)) % 1.12/1.34 (define @t2906 () (@list @t2892)) % 1.12/1.34 (define @t2907 () (forall @t2906 @t2904)) % 1.12/1.34 (define @t2908 () (forall @t2906 @t2903)) % 1.12/1.34 (define @t2909 () (or @t1384 @t2908)) % 1.12/1.34 (define @t2910 () (tptp.in @t1599 @t969)) % 1.12/1.34 (define @t2911 () (forall @t70 (or @t2788 (not @t2910) @t2860))) % 1.12/1.34 (define @t2912 () (or @t197 @t2911)) % 1.12/1.34 (define @t2913 () (not @t970)) % 1.12/1.34 (define @t2914 () (or @t2793 @t2913 @t878)) % 1.12/1.34 (define @t2915 () (=> tptp.funcextLem @t2867)) % 1.12/1.34 (define @t2916 () (= @t1519 @t1520)) % 1.12/1.34 (define @t2917 () (or @t1453 @t1523 @t1522 @t1521 @t2916)) % 1.12/1.34 (define @t2918 () (or @t1523 @t1522 @t1521 @t2916)) % 1.12/1.34 (define @t2919 () (or @t1453 @t2918)) % 1.12/1.34 (define @t2920 () (forall @t1524 @t2919)) % 1.12/1.34 (define @t2921 () (@list @t1518 @t1520)) % 1.12/1.34 (define @t2922 () (forall @t2921 @t2919)) % 1.12/1.34 (define @t2923 () (forall @t2921 @t2918)) % 1.12/1.34 (define @t2924 () (or @t1453 @t2923)) % 1.12/1.34 (define @t2925 () (or @t2710 @t2849)) % 1.12/1.34 (define @t2926 () (=> tptp.funcGraphProp2 @t2915)) % 1.12/1.34 (define @t2927 () (or @t1528 @t1527)) % 1.12/1.34 (define @t2928 () (or @t1439 @t2927)) % 1.12/1.34 (define @t2929 () (forall @t1530 @t2928)) % 1.12/1.34 (define @t2930 () (@list @t1526)) % 1.12/1.34 (define @t2931 () (forall @t2930 @t2928)) % 1.12/1.34 (define @t2932 () (forall @t2930 @t2927)) % 1.12/1.34 (define @t2933 () (or @t1439 @t2932)) % 1.12/1.34 (define @t2934 () (tptp.kpair @t4 @t1433)) % 1.12/1.34 (define @t2935 () (tptp.in @t2934 @t877)) % 1.12/1.34 (define @t2936 () (forall @t9 (or @t1384 @t2935))) % 1.12/1.34 (define @t2937 () (or @t2688 @t2936)) % 1.12/1.34 (define @t2938 () (or @t197 @t953)) % 1.12/1.34 (define @t2939 () (=> tptp.funcGraphProp3 @t2926)) % 1.12/1.34 (define @t2940 () (or @t1534 @t1533)) % 1.12/1.34 (define @t2941 () (or @t1453 @t2940)) % 1.12/1.34 (define @t2942 () (forall @t1536 @t2941)) % 1.12/1.34 (define @t2943 () (@list @t1532)) % 1.12/1.34 (define @t2944 () (forall @t2943 @t2941)) % 1.12/1.34 (define @t2945 () (forall @t2943 @t2940)) % 1.12/1.34 (define @t2946 () (or @t1453 @t2945)) % 1.12/1.34 (define @t2947 () (or @t2710 @t2936)) % 1.12/1.34 (define @t2948 () (=> tptp.funcGraphProp1 @t2939)) % 1.12/1.34 (define @t2949 () (or @t1544 @t1543 @t1542 @t1541 @t1540)) % 1.12/1.34 (define @t2950 () (or @t1547 @t2949)) % 1.12/1.34 (define @t2951 () (forall @t1549 @t2950)) % 1.12/1.34 (define @t2952 () (@list @t1539 @t1538)) % 1.12/1.34 (define @t2953 () (forall @t2952 @t2950)) % 1.12/1.34 (define @t2954 () (forall @t2952 @t2949)) % 1.12/1.34 (define @t2955 () (or @t1547 @t2954)) % 1.12/1.34 (define @t2956 () (lambda @t9 @t1707)) % 1.12/1.34 (define @t2957 () (tptp.dsetconstr @t2 @t2956)) % 1.12/1.34 (define @t2958 () (tptp.singleton @t2957)) % 1.12/1.34 (define @t2959 () (not @t2958)) % 1.12/1.34 (define @t2960 () (or @t2959 @t1711)) % 1.12/1.34 (define @t2961 () (not @t715)) % 1.12/1.34 (define @t2962 () (or @t2961 @t1711)) % 1.12/1.34 (define @t2963 () (or @t1706 @t1705 @t1704)) % 1.12/1.34 (define @t2964 () (or @t1384 @t1708 @t2963)) % 1.12/1.34 (define @t2965 () (forall @t1710 @t2964)) % 1.12/1.34 (define @t2966 () (@list @t1703)) % 1.12/1.34 (define @t2967 () (forall @t2966 @t2964)) % 1.12/1.34 (define @t2968 () (forall @t2966 @t2963)) % 1.12/1.34 (define @t2969 () (or @t1384 @t1708 @t2968)) % 1.12/1.34 (define @t2970 () (or @t197 @t317 @t1720)) % 1.12/1.34 (define @t2971 () (or @t317 @t1720)) % 1.12/1.34 (define @t2972 () (not @t153)) % 1.12/1.34 (define @t2973 () (or @t2420 @t2972 @t129)) % 1.12/1.34 (define @t2974 () (forall @t70 @t2973)) % 1.12/1.34 (define @t2975 () (or @t317 @t2974)) % 1.12/1.34 (define @t2976 () (or @t317 @t2973)) % 1.12/1.34 (define @t2977 () (or @t2420 @t317 @t2972 @t129)) % 1.12/1.34 (define @t2978 () (or @t317 @t2972 @t129)) % 1.12/1.34 (define @t2979 () (or @t2972 @t129)) % 1.12/1.34 (define @t2980 () (_ @t145 @t4)) % 1.12/1.34 (define @t2981 () (lambda @t9 @t2980)) % 1.12/1.34 (define @t2982 () (lambda @t150 @t715)) % 1.12/1.34 (define @t2983 () (_ @t1368 @t2)) % 1.12/1.34 (define @t2984 () (_ @t2983 @t145)) % 1.12/1.34 (define @t2985 () (=> @t2984 @t719)) % 1.12/1.34 (define @t2986 () (forall @t311 @t2985)) % 1.12/1.34 (define @t2987 () (=> tptp.ex1E2 @t2948)) % 1.12/1.34 (define @t2988 () (or @t1560 @t1554 @t1553)) % 1.12/1.34 (define @t2989 () (or @t1486 @t2988)) % 1.12/1.34 (define @t2990 () (forall @t1562 @t2989)) % 1.12/1.34 (define @t2991 () (@list @t1552 @t1551)) % 1.12/1.34 (define @t2992 () (forall @t2991 @t2989)) % 1.12/1.34 (define @t2993 () (forall @t2991 @t2988)) % 1.12/1.34 (define @t2994 () (@var "BOUND_VARIABLE_12318" $$unsorted)) % 1.12/1.34 (define @t2995 () (or @t1486 @t2993)) % 1.12/1.34 (define @t2996 () (_ @t143 @t2994)) % 1.12/1.34 (define @t2997 () (not (tptp.in @t2994 @t932))) % 1.12/1.34 (define @t2998 () (_ @t143 @t1556)) % 1.12/1.34 (define @t2999 () (or @t1384 @t1558 @t1557 @t2998)) % 1.12/1.34 (define @t3000 () (forall @t1559 @t2999)) % 1.12/1.34 (define @t3001 () (not @t3000)) % 1.12/1.34 (define @t3002 () (or @t3001 @t2997 @t2996)) % 1.12/1.34 (define @t3003 () (@list @t143 @t2994)) % 1.12/1.34 (define @t3004 () (forall @t3003 @t3002)) % 1.12/1.34 (define @t3005 () (or @t2770 @t3004)) % 1.12/1.34 (define @t3006 () (or @t2997 @t2996)) % 1.12/1.34 (define @t3007 () (or @t3001 @t3006)) % 1.12/1.34 (define @t3008 () (forall @t3003 @t3007)) % 1.12/1.34 (define @t3009 () (@list @t2994)) % 1.12/1.34 (define @t3010 () (forall @t3009 @t3007)) % 1.12/1.34 (define @t3011 () (forall @t3009 @t3006)) % 1.12/1.34 (define @t3012 () (or @t3001 @t3011)) % 1.12/1.34 (define @t3013 () (tptp.in @t4 @t932)) % 1.12/1.34 (define @t3014 () (forall @t9 (or (not @t3013) @t1707))) % 1.12/1.34 (define @t3015 () (not @t933)) % 1.12/1.34 (define @t3016 () (or @t3015 @t144)) % 1.12/1.34 (define @t3017 () (or @t1558 @t1557 @t2998)) % 1.12/1.34 (define @t3018 () (or @t1384 @t3017)) % 1.12/1.34 (define @t3019 () (forall @t1559 @t3018)) % 1.12/1.34 (define @t3020 () (@list @t1555)) % 1.12/1.34 (define @t3021 () (forall @t3020 @t3018)) % 1.12/1.34 (define @t3022 () (forall @t3020 @t3017)) % 1.12/1.34 (define @t3023 () (or @t1384 @t3022)) % 1.12/1.34 (define @t3024 () (_ @t143 @t1599)) % 1.12/1.34 (define @t3025 () (forall @t70 (or @t2788 @t2802 @t3024))) % 1.12/1.34 (define @t3026 () (or @t197 @t3025)) % 1.12/1.34 (define @t3027 () (or @t2793 @t2805 @t935)) % 1.12/1.34 (define @t3028 () (=> @t2814 @t942)) % 1.12/1.34 (define @t3029 () (forall @t945 @t3028)) % 1.12/1.34 (define @t3030 () (=> tptp.brelnall2 @t2987)) % 1.12/1.34 (define @t3031 () (=> tptp.brelnall1 @t3030)) % 1.12/1.34 (define @t3032 () (lambda @t9 @t1444)) % 1.12/1.34 (define @t3033 () (tptp.lam @t2 @t1 @t3032)) % 1.12/1.34 (define @t3034 () (tptp.in @t3033 @t1437)) % 1.12/1.34 (define @t3035 () (or @t1447 @t3034)) % 1.12/1.34 (define @t3036 () (or @t1447 @t928)) % 1.12/1.34 (define @t3037 () (=> tptp.lam2p @t3031)) % 1.12/1.34 (define @t3038 () (tptp.func @t2 @t1 @t3033)) % 1.12/1.34 (define @t3039 () (or @t1447 @t3038)) % 1.12/1.34 (define @t3040 () (or @t1447 @t924)) % 1.12/1.34 (define @t3041 () (=> tptp.lamp @t3037)) % 1.12/1.34 (define @t3042 () (= @t19 @t913)) % 1.12/1.34 (define @t3043 () (lambda @t135 @t3042)) % 1.12/1.34 (define @t3044 () (_ @t847 @t3043)) % 1.12/1.34 (define @t3045 () (_ @t883 @t3044)) % 1.12/1.34 (define @t3046 () (or @t1447 @t3045)) % 1.12/1.34 (define @t3047 () (=> tptp.lamProp @t3041)) % 1.12/1.34 (define @t3048 () (or @t2710 @t904)) % 1.12/1.34 (define @t3049 () (=> tptp.funcinfuncset @t3047)) % 1.12/1.34 (define @t3050 () (or @t1574 @t1573)) % 1.12/1.34 (define @t3051 () (or @t1439 @t3050)) % 1.12/1.34 (define @t3052 () (forall @t1576 @t3051)) % 1.12/1.34 (define @t3053 () (@list @t1572)) % 1.12/1.34 (define @t3054 () (forall @t3053 @t3051)) % 1.12/1.34 (define @t3055 () (forall @t3053 @t3050)) % 1.12/1.34 (define @t3056 () (or @t1439 @t3055)) % 1.12/1.34 (define @t3057 () (tptp.in @t1433 @t1)) % 1.12/1.34 (define @t3058 () (forall @t9 (or @t1384 @t3057))) % 1.12/1.34 (define @t3059 () (or @t2688 @t3058)) % 1.12/1.34 (define @t3060 () (or @t197 @t897)) % 1.12/1.34 (define @t3061 () (=> tptp.ap2p @t3049)) % 1.12/1.34 (define @t3062 () (or @t2688 @t884)) % 1.12/1.34 (define @t3063 () (=> tptp.infuncsetfunc @t3061)) % 1.12/1.34 (define @t3064 () (or @t1581 @t1580)) % 1.12/1.34 (define @t3065 () (or @t1453 @t3064)) % 1.12/1.34 (define @t3066 () (forall @t1583 @t3065)) % 1.12/1.34 (define @t3067 () (@list @t1579)) % 1.12/1.34 (define @t3068 () (forall @t3067 @t3065)) % 1.12/1.34 (define @t3069 () (forall @t3067 @t3064)) % 1.12/1.34 (define @t3070 () (or @t1453 @t3069)) % 1.12/1.34 (define @t3071 () (or @t2710 @t3058)) % 1.12/1.34 (define @t3072 () (=> tptp.app @t3063)) % 1.12/1.34 (define @t3073 () (or @t1587 @t1586)) % 1.12/1.34 (define @t3074 () (or @t1453 @t3073)) % 1.12/1.34 (define @t3075 () (forall @t1589 @t3074)) % 1.12/1.34 (define @t3076 () (@list @t1585)) % 1.12/1.34 (define @t3077 () (forall @t3076 @t3074)) % 1.12/1.34 (define @t3078 () (forall @t3076 @t3073)) % 1.12/1.34 (define @t3079 () (or @t1453 @t3078)) % 1.12/1.34 (define @t3080 () (lambda @t70 @t2860)) % 1.12/1.34 (define @t3081 () (tptp.dsetconstr @t1 @t3080)) % 1.12/1.34 (define @t3082 () (tptp.setunion @t3081)) % 1.12/1.34 (define @t3083 () (tptp.in @t3082 @t1)) % 1.12/1.34 (define @t3084 () (forall @t9 (or @t1384 @t3083))) % 1.12/1.34 (define @t3085 () (or @t2710 @t3084)) % 1.12/1.34 (define @t3086 () (or @t197 @t890)) % 1.12/1.34 (define @t3087 () (=> tptp.apProp @t3072)) % 1.12/1.34 (define @t3088 () (or @t1593 @t1592)) % 1.12/1.34 (define @t3089 () (or @t1453 @t3088)) % 1.12/1.34 (define @t3090 () (forall @t1595 @t3089)) % 1.12/1.34 (define @t3091 () (@list @t1591)) % 1.12/1.34 (define @t3092 () (forall @t3091 @t3089)) % 1.12/1.34 (define @t3093 () (forall @t3091 @t3088)) % 1.12/1.34 (define @t3094 () (or @t1453 @t3093)) % 1.12/1.34 (define @t3095 () (tptp.singleton @t3081)) % 1.12/1.34 (define @t3096 () (forall @t9 (or @t1384 @t3095))) % 1.12/1.34 (define @t3097 () (or @t2710 @t3096)) % 1.12/1.34 (define @t3098 () (or @t197 @t881)) % 1.12/1.34 (define @t3099 () (=> tptp.funcImageSingleton @t3087)) % 1.12/1.34 (define @t3100 () (_ @t67 @t289 @t383)) % 1.12/1.34 (define @t3101 () (lambda @t388 @t3100)) % 1.12/1.34 (define @t3102 () (tptp.dpsetconstr @t2 @t1 @t3101)) % 1.12/1.34 (define @t3103 () (tptp.in @t1599 @t3102)) % 1.12/1.34 (define @t3104 () (not @t3103)) % 1.12/1.34 (define @t3105 () (or @t3104 @t1597)) % 1.12/1.34 (define @t3106 () (not @t849)) % 1.12/1.34 (define @t3107 () (or @t3106 @t76)) % 1.12/1.34 (define @t3108 () (=> tptp.dpsetconstrER @t3099)) % 1.12/1.34 (define @t3109 () (or @t3104 @t1603)) % 1.12/1.34 (define @t3110 () (or @t3106 @t354)) % 1.12/1.34 (define @t3111 () (=> tptp.dpsetconstrEL2 @t3108)) % 1.12/1.34 (define @t3112 () (or @t3104 @t1383)) % 1.12/1.34 (define @t3113 () (or @t3106 @t7)) % 1.12/1.34 (define @t3114 () (=> tptp.dpsetconstrEL1 @t3111)) % 1.12/1.34 (define @t3115 () (or @t1609 @t1608 @t1607)) % 1.12/1.34 (define @t3116 () (or @t1384 @t3115)) % 1.12/1.34 (define @t3117 () (forall @t1611 @t3116)) % 1.12/1.34 (define @t3118 () (@list @t1606)) % 1.12/1.34 (define @t3119 () (forall @t3118 @t3116)) % 1.12/1.34 (define @t3120 () (forall @t3118 @t3115)) % 1.12/1.34 (define @t3121 () (or @t1384 @t3120)) % 1.12/1.34 (define @t3122 () (forall @t70 (or @t2788 @t1601 @t1597))) % 1.12/1.34 (define @t3123 () (or @t197 @t3122)) % 1.12/1.34 (define @t3124 () (or @t2788 @t3104 @t1597)) % 1.12/1.34 (define @t3125 () (or @t2793 @t3106 @t76)) % 1.12/1.34 (define @t3126 () (=> tptp.dpsetconstrERa @t3114)) % 1.12/1.34 (define @t3127 () (lambda @t135 @t1597)) % 1.12/1.34 (define @t3128 () (tptp.dpsetconstr @t2 @t1 @t3127)) % 1.12/1.34 (define @t3129 () (tptp.subset @t3128 @t1483)) % 1.12/1.34 (define @t3130 () (forall @t859 (_ @t2810 @t857))) % 1.12/1.34 (define @t3131 () (=> tptp.setOfPairsIsBReln @t3126)) % 1.12/1.34 (define @t3132 () (=> tptp.dpsetconstrSub @t3131)) % 1.12/1.34 (define @t3133 () (or @t1617 @t1616 @t1615)) % 1.12/1.34 (define @t3134 () (or @t1384 @t3133)) % 1.12/1.34 (define @t3135 () (forall @t1619 @t3134)) % 1.12/1.34 (define @t3136 () (@list @t1614)) % 1.12/1.34 (define @t3137 () (forall @t3136 @t3134)) % 1.12/1.34 (define @t3138 () (forall @t3136 @t3133)) % 1.12/1.34 (define @t3139 () (or @t1384 @t3138)) % 1.12/1.34 (define @t3140 () (forall @t70 (or @t2788 @t2163 @t1600))) % 1.12/1.34 (define @t3141 () (or @t197 @t3140)) % 1.12/1.34 (define @t3142 () (or @t2788 @t2163 @t3103)) % 1.12/1.34 (define @t3143 () (not @t76)) % 1.12/1.34 (define @t3144 () (or @t2793 @t3143 @t849)) % 1.12/1.34 (define @t3145 () (=> tptp.dpsetconstrI @t3132)) % 1.12/1.34 (define @t3146 () (_ tptp.kpair @t1622)) % 1.12/1.34 (define @t3147 () (= @t383 @t814)) % 1.12/1.34 (define @t3148 () (not @t686)) % 1.12/1.34 (define @t3149 () (or @t3148 @t3147)) % 1.12/1.34 (define @t3150 () (=> tptp.cartprodpairsurjEq @t3145)) % 1.12/1.34 (define @t3151 () (or @t1630 @t1629)) % 1.12/1.34 (define @t3152 () (or @t1384 @t3151)) % 1.12/1.34 (define @t3153 () (forall @t1632 @t3152)) % 1.12/1.34 (define @t3154 () (@list @t1628)) % 1.12/1.34 (define @t3155 () (forall @t3154 @t3152)) % 1.12/1.34 (define @t3156 () (forall @t3154 @t3151)) % 1.12/1.34 (define @t3157 () (or @t1384 @t3156)) % 1.12/1.34 (define @t3158 () (forall @t70 (or @t2788 @t1650))) % 1.12/1.34 (define @t3159 () (or @t197 @t3158)) % 1.12/1.34 (define @t3160 () (= @t19 @t809)) % 1.12/1.34 (define @t3161 () (or @t2793 @t3160)) % 1.12/1.34 (define @t3162 () (=> tptp.cartprodsndpairEq @t3150)) % 1.12/1.34 (define @t3163 () (or @t1636 @t1635)) % 1.12/1.34 (define @t3164 () (or @t1384 @t3163)) % 1.12/1.34 (define @t3165 () (forall @t1638 @t3164)) % 1.12/1.34 (define @t3166 () (@list @t1634)) % 1.12/1.34 (define @t3167 () (forall @t3166 @t3164)) % 1.12/1.34 (define @t3168 () (forall @t3166 @t3163)) % 1.12/1.34 (define @t3169 () (or @t1384 @t3168)) % 1.12/1.34 (define @t3170 () (forall @t70 (or @t2788 @t1688))) % 1.12/1.34 (define @t3171 () (or @t197 @t3170)) % 1.12/1.34 (define @t3172 () (= @t4 @t763)) % 1.12/1.34 (define @t3173 () (or @t2793 @t3172)) % 1.12/1.34 (define @t3174 () (=> tptp.cartprodfstpairEq @t3162)) % 1.12/1.34 (define @t3175 () (=> tptp.cartprodmempaircEq @t3174)) % 1.12/1.34 (define @t3176 () (not @t675)) % 1.12/1.34 (define @t3177 () (or @t3176 @t354)) % 1.12/1.34 (define @t3178 () (=> tptp.cartprodpairmemER @t3175)) % 1.12/1.34 (define @t3179 () (or @t3176 @t7)) % 1.12/1.34 (define @t3180 () (=> tptp.cartprodpairmemEL @t3178)) % 1.12/1.34 (define @t3181 () (or @t3148 @t819)) % 1.12/1.34 (define @t3182 () (=> tptp.cartprodsndin @t3180)) % 1.12/1.34 (define @t3183 () (not @t691)) % 1.12/1.34 (define @t3184 () (or @t3183 @t3147)) % 1.12/1.34 (define @t3185 () (=> tptp.kpairsurjEq @t3182)) % 1.12/1.34 (define @t3186 () (=> tptp.ksndpairEq @t3185)) % 1.12/1.34 (define @t3187 () (_ tptp.dsetconstr @t1655)) % 1.12/1.34 (define @t3188 () (or @t3183 @t806)) % 1.12/1.34 (define @t3189 () (=> tptp.ksndsingleton @t3186)) % 1.12/1.34 (define @t3190 () (not @t780)) % 1.12/1.34 (define @t3191 () (or @t3190 @t790)) % 1.12/1.34 (define @t3192 () (=> tptp.setukpairinjR @t3189)) % 1.12/1.34 (define @t3193 () (_ tptp.setadjoin @t1413)) % 1.12/1.34 (define @t3194 () (not @t775)) % 1.12/1.34 (define @t3195 () (or @t3194 @t790)) % 1.12/1.34 (define @t3196 () (=> tptp.setukpairinjR2 @t3192)) % 1.12/1.34 (define @t3197 () (not @t794)) % 1.12/1.34 (define @t3198 () (or @t3197 @t129)) % 1.12/1.34 (define @t3199 () (=> tptp.upairequniteq @t3196)) % 1.12/1.34 (define @t3200 () (not (= @t383 @t383))) % 1.12/1.34 (define @t3201 () (or @t1674 @t3200 @t790)) % 1.12/1.34 (define @t3202 () (not @t387)) % 1.12/1.34 (define @t3203 () (or @t3202 @t1671 @t3202 @t790)) % 1.12/1.34 (define @t3204 () (or @t1671 @t3202 @t790)) % 1.12/1.34 (define @t3205 () (forall @t1064 @t3204)) % 1.12/1.34 (define @t3206 () (forall @t1676 @t3205)) % 1.12/1.34 (define @t3207 () (forall (@list @t4 @t19 @t383 @t289) @t3204)) % 1.12/1.34 (define @t3208 () (or @t3194 @t3202 @t790)) % 1.12/1.34 (define @t3209 () (=> tptp.setukpairinjR1 @t3199)) % 1.12/1.34 (define @t3210 () (not (= @t19 @t19))) % 1.12/1.34 (define @t3211 () (or @t3210 @t1679)) % 1.12/1.34 (define @t3212 () (tptp.setadjoin @t1413 tptp.emptyset)) % 1.12/1.34 (define @t3213 () (= @t1670 @t3212)) % 1.12/1.34 (define @t3214 () (or @t282 @t282 @t3213)) % 1.12/1.34 (define @t3215 () (or @t282 @t3213)) % 1.12/1.34 (define @t3216 () (forall @t9 @t3215)) % 1.12/1.34 (define @t3217 () (forall @t70 @t3216)) % 1.12/1.34 (define @t3218 () (@list @t19 @t4)) % 1.12/1.34 (define @t3219 () (forall @t3218 @t3215)) % 1.12/1.34 (define @t3220 () (or @t282 @t787)) % 1.12/1.34 (define @t3221 () (=> tptp.setukpairinjR12 @t3209)) % 1.12/1.34 (define @t3222 () (or @t3210 @t1681)) % 1.12/1.34 (define @t3223 () (= @t1413 @t1668)) % 1.12/1.34 (define @t3224 () (or @t282 @t282 @t3223)) % 1.12/1.34 (define @t3225 () (or @t282 @t3223)) % 1.12/1.34 (define @t3226 () (forall @t9 @t3225)) % 1.12/1.34 (define @t3227 () (forall @t70 @t3226)) % 1.12/1.34 (define @t3228 () (forall @t3218 @t3225)) % 1.12/1.34 (define @t3229 () (= @t279 @t293)) % 1.12/1.34 (define @t3230 () (or @t282 @t3229)) % 1.12/1.34 (define @t3231 () (=> tptp.setukpairinjR11 @t3221)) % 1.12/1.34 (define @t3232 () (or @t3190 @t743)) % 1.12/1.34 (define @t3233 () (=> tptp.setukpairinjL @t3231)) % 1.12/1.34 (define @t3234 () (or @t3194 @t743)) % 1.12/1.34 (define @t3235 () (=> tptp.setukpairinjL2 @t3233)) % 1.12/1.34 (define @t3236 () (or @t3148 @t768)) % 1.12/1.34 (define @t3237 () (=> tptp.cartprodfstin @t3235)) % 1.12/1.34 (define @t3238 () (=> tptp.kfstpairEq @t3237)) % 1.12/1.34 (define @t3239 () (or @t2490 @t759)) % 1.12/1.34 (define @t3240 () (=> tptp.theprop @t3238)) % 1.12/1.34 (define @t3241 () (_ tptp.in @t1413)) % 1.12/1.34 (define @t3242 () (or @t3183 @t754)) % 1.12/1.34 (define @t3243 () (=> tptp.kfstsingleton @t3240)) % 1.12/1.34 (define @t3244 () (not @t746)) % 1.12/1.34 (define @t3245 () (or @t3244 @t743)) % 1.12/1.34 (define @t3246 () (=> tptp.setukpairinjL1 @t3243)) % 1.12/1.34 (define @t3247 () (= @t275 @t279)) % 1.12/1.34 (define @t3248 () (not @t3247)) % 1.12/1.34 (define @t3249 () (or @t3248 @t129)) % 1.12/1.34 (define @t3250 () (=> tptp.singletonsuniq @t3246)) % 1.12/1.34 (define @t3251 () (or @t1702 @t1701)) % 1.12/1.34 (define @t3252 () (or @t1712 @t3251 @t1546)) % 1.12/1.34 (define @t3253 () (forall @t1714 @t3252)) % 1.12/1.34 (define @t3254 () (@list @t1700)) % 1.12/1.34 (define @t3255 () (forall @t3254 @t3252)) % 1.12/1.34 (define @t3256 () (forall @t3254 @t3251)) % 1.12/1.34 (define @t3257 () (or @t1712 @t3256 @t1546)) % 1.12/1.34 (define @t3258 () (or @t1712 @t1723 @t2958)) % 1.12/1.34 (define @t3259 () (or @t1712 @t1723 @t715)) % 1.12/1.34 (define @t3260 () (not @t1724)) % 1.12/1.34 (define @t3261 () (=> @t1724 @t715)) % 1.12/1.34 (define @t3262 () (or @t197 @t317)) % 1.12/1.34 (define @t3263 () (forall @t9 (not @t308))) % 1.12/1.34 (define @t3264 () (not @t3263)) % 1.12/1.34 (define @t3265 () (=> @t309 @t2984)) % 1.12/1.34 (define @t3266 () (=> @t719 @t3265)) % 1.12/1.34 (define @t3267 () (forall @t311 @t3266)) % 1.12/1.34 (define @t3268 () (=> tptp.ex1I2 @t3250)) % 1.12/1.34 (define @t3269 () (@var "BOUND_VARIABLE_11621" $$unsorted)) % 1.12/1.34 (define @t3270 () (_ @t143 @t3269)) % 1.12/1.34 (define @t3271 () (@list @t3269)) % 1.12/1.34 (define @t3272 () (lambda @t3271 @t3270)) % 1.12/1.34 (define @t3273 () (tptp.dsetconstr @t2 @t3272)) % 1.12/1.34 (define @t3274 () (tptp.singleton @t3273)) % 1.12/1.34 (define @t3275 () (or @t1384 @t1708 @t1721 @t3274)) % 1.12/1.34 (define @t3276 () (_ @t143 @t3269)) % 1.12/1.34 (define @t3277 () (lambda @t3271 @t3276)) % 1.12/1.34 (define @t3278 () (_ @t155 @t3277)) % 1.12/1.34 (define @t3279 () (_ tptp.singleton @t3278)) % 1.12/1.34 (define @t3280 () (or @t197 @t317 @t1721 @t3279)) % 1.12/1.34 (define @t3281 () (or @t317 @t1721 @t3279)) % 1.12/1.34 (define @t3282 () (=> @t1720 @t3279)) % 1.12/1.34 (define @t3283 () (=> @t144 @t3282)) % 1.12/1.34 (define @t3284 () (=> @t1720 @t715)) % 1.12/1.34 (define @t3285 () (=> @t144 @t3284)) % 1.12/1.34 (define @t3286 () (=> @t7 @t3285)) % 1.12/1.34 (define @t3287 () (_ @t154 @t4)) % 1.12/1.34 (define @t3288 () (lambda @t9 @t3287)) % 1.12/1.34 (define @t3289 () (=> @t730 (_ @t2983 @t154))) % 1.12/1.34 (define @t3290 () (=> @t144 @t3289)) % 1.12/1.34 (define @t3291 () (=> @t7 @t3290)) % 1.12/1.34 (define @t3292 () (forall @t159 @t3291)) % 1.12/1.34 (define @t3293 () (=> tptp.ex1I @t3268)) % 1.12/1.34 (define @t3294 () (or @t2959 @t1724)) % 1.12/1.34 (define @t3295 () (or @t2961 @t1724)) % 1.12/1.34 (define @t3296 () (=> @t2984 @t309)) % 1.12/1.34 (define @t3297 () (forall @t311 @t3296)) % 1.12/1.34 (define @t3298 () (=> tptp.ex1E1 @t3293)) % 1.12/1.34 (define @t3299 () (=> tptp.singletonprop @t3298)) % 1.12/1.34 (define @t3300 () (= @t4 @t712)) % 1.12/1.34 (define @t3301 () (=> tptp.setunionsingleton @t3299)) % 1.12/1.34 (define @t3302 () (=> tptp.setunionsingleton2 @t3301)) % 1.12/1.34 (define @t3303 () (=> tptp.setunionsingleton1 @t3302)) % 1.12/1.34 (define @t3304 () (not @t44)) % 1.12/1.34 (define @t3305 () (or @t3304 @t1737)) % 1.12/1.34 (define @t3306 () (not @t697)) % 1.12/1.34 (define @t3307 () (or @t3306 @t2493)) % 1.12/1.34 (define @t3308 () (forall @t699 (not @t698))) % 1.12/1.34 (define @t3309 () (not @t3308)) % 1.12/1.34 (define @t3310 () (=> tptp.setunionE2 @t3303)) % 1.12/1.34 (define @t3311 () (or @t3148 @t691)) % 1.12/1.34 (define @t3312 () (=> tptp.cartprodmempair @t3310)) % 1.12/1.34 (define @t3313 () (or @t3148 @t1748)) % 1.12/1.34 (define @t3314 () (or @t1745 @t1744)) % 1.12/1.34 (define @t3315 () (or @t1384 @t3314)) % 1.12/1.34 (define @t3316 () (forall @t1747 @t3315)) % 1.12/1.34 (define @t3317 () (@list @t1743)) % 1.12/1.34 (define @t3318 () (forall @t3317 @t3315)) % 1.12/1.34 (define @t3319 () (forall @t3317 @t3314)) % 1.12/1.34 (define @t3320 () (or @t1384 @t3319)) % 1.12/1.34 (define @t3321 () (forall @t70 (or @t2788 (not (= @t383 @t1599))))) % 1.12/1.34 (define @t3322 () (or @t197 @t3321)) % 1.12/1.34 (define @t3323 () (not @t3321)) % 1.12/1.34 (define @t3324 () (and @t7 @t3323)) % 1.12/1.34 (define @t3325 () (forall @t9 (not @t3324))) % 1.12/1.34 (define @t3326 () (not @t3325)) % 1.12/1.34 (define @t3327 () (not @t680)) % 1.12/1.34 (define @t3328 () (or @t2793 @t3327)) % 1.12/1.34 (define @t3329 () (forall @t70 (not @t681))) % 1.12/1.34 (define @t3330 () (not @t3329)) % 1.12/1.34 (define @t3331 () (=> tptp.cartprodmempair1 @t3312)) % 1.12/1.34 (define @t3332 () (or @t1752 @t1751)) % 1.12/1.34 (define @t3333 () (or @t1384 @t3332)) % 1.12/1.34 (define @t3334 () (forall @t1754 @t3333)) % 1.12/1.34 (define @t3335 () (@list @t1750)) % 1.12/1.34 (define @t3336 () (forall @t3335 @t3333)) % 1.12/1.34 (define @t3337 () (forall @t3335 @t3332)) % 1.12/1.34 (define @t3338 () (or @t1384 @t3337)) % 1.12/1.34 (define @t3339 () (forall @t70 (or @t2788 @t1640))) % 1.12/1.34 (define @t3340 () (or @t197 @t3339)) % 1.12/1.34 (define @t3341 () (or @t2793 @t675)) % 1.12/1.34 (define @t3342 () (=> tptp.cartprodpairin @t3331)) % 1.12/1.34 (define @t3343 () (or @t1761 @t1760)) % 1.12/1.34 (define @t3344 () (or @t1384 @t3343)) % 1.12/1.34 (define @t3345 () (forall @t1763 @t3344)) % 1.12/1.34 (define @t3346 () (@list @t1759)) % 1.12/1.34 (define @t3347 () (forall @t3346 @t3344)) % 1.12/1.34 (define @t3348 () (forall @t3346 @t3343)) % 1.12/1.34 (define @t3349 () (or @t1384 @t3348)) % 1.12/1.34 (define @t3350 () (tptp.in @t1599 @t1758)) % 1.12/1.34 (define @t3351 () (forall @t70 (or @t2788 @t3350))) % 1.12/1.34 (define @t3352 () (or @t197 @t3351)) % 1.12/1.34 (define @t3353 () (or @t2793 @t669)) % 1.12/1.34 (define @t3354 () (=> tptp.ubforcartprodlem3 @t3342)) % 1.12/1.34 (define @t3355 () (or @t1767 @t1766)) % 1.12/1.34 (define @t3356 () (or @t1384 @t3355)) % 1.12/1.34 (define @t3357 () (forall @t1769 @t3356)) % 1.12/1.34 (define @t3358 () (@list @t1765)) % 1.12/1.34 (define @t3359 () (forall @t3358 @t3356)) % 1.12/1.34 (define @t3360 () (forall @t3358 @t3355)) % 1.12/1.34 (define @t3361 () (or @t1384 @t3360)) % 1.12/1.34 (define @t3362 () (tptp.in @t1670 @t1758)) % 1.12/1.34 (define @t3363 () (forall @t70 (or @t2788 @t3362))) % 1.12/1.34 (define @t3364 () (or @t197 @t3363)) % 1.12/1.34 (define @t3365 () (or @t2793 @t663)) % 1.12/1.34 (define @t3366 () (=> tptp.ubforcartprodlem2 @t3354)) % 1.12/1.34 (define @t3367 () (or @t1773 @t1772)) % 1.12/1.34 (define @t3368 () (or @t1384 @t3367)) % 1.12/1.34 (define @t3369 () (forall @t1775 @t3368)) % 1.12/1.34 (define @t3370 () (@list @t1771)) % 1.12/1.34 (define @t3371 () (forall @t3370 @t3368)) % 1.12/1.34 (define @t3372 () (forall @t3370 @t3367)) % 1.12/1.34 (define @t3373 () (or @t1384 @t3372)) % 1.12/1.34 (define @t3374 () (tptp.subset @t1670 @t1757)) % 1.12/1.34 (define @t3375 () (forall @t70 (or @t2788 @t3374))) % 1.12/1.34 (define @t3376 () (or @t197 @t3375)) % 1.12/1.34 (define @t3377 () (or @t2793 @t657)) % 1.12/1.34 (define @t3378 () (=> tptp.ubforcartprodlem1 @t3366)) % 1.12/1.34 (define @t3379 () (or @t1779 @t1778)) % 1.12/1.34 (define @t3380 () (or @t1384 @t3379)) % 1.12/1.34 (define @t3381 () (forall @t1781 @t3380)) % 1.12/1.34 (define @t3382 () (@list @t1777)) % 1.12/1.34 (define @t3383 () (forall @t3382 @t3380)) % 1.12/1.34 (define @t3384 () (forall @t3382 @t3379)) % 1.12/1.34 (define @t3385 () (or @t1384 @t3384)) % 1.12/1.34 (define @t3386 () (tptp.in @t1668 @t1757)) % 1.12/1.34 (define @t3387 () (forall @t70 (or @t2788 @t3386))) % 1.12/1.34 (define @t3388 () (or @t197 @t3387)) % 1.12/1.34 (define @t3389 () (or @t2793 @t652)) % 1.12/1.34 (define @t3390 () (=> tptp.upairinpowunion @t3378)) % 1.12/1.34 (define @t3391 () (or @t1785 @t1784)) % 1.12/1.34 (define @t3392 () (or @t1384 @t3391)) % 1.12/1.34 (define @t3393 () (forall @t1787 @t3392)) % 1.12/1.34 (define @t3394 () (@list @t1783)) % 1.12/1.34 (define @t3395 () (forall @t3394 @t3392)) % 1.12/1.34 (define @t3396 () (forall @t3394 @t3391)) % 1.12/1.34 (define @t3397 () (or @t1384 @t3396)) % 1.12/1.34 (define @t3398 () (tptp.subset @t1668 @t1756)) % 1.12/1.34 (define @t3399 () (forall @t70 (or @t2788 @t3398))) % 1.12/1.34 (define @t3400 () (or @t197 @t3399)) % 1.12/1.34 (define @t3401 () (or @t2793 @t647)) % 1.12/1.34 (define @t3402 () (=> tptp.upairsubunion @t3390)) % 1.12/1.34 (define @t3403 () (not @t295)) % 1.12/1.34 (define @t3404 () (or @t3403 @t743 @t1789)) % 1.12/1.34 (define @t3405 () (or @t743 @t1789)) % 1.12/1.34 (define @t3406 () (=> tptp.upairset2E @t3402)) % 1.12/1.34 (define @t3407 () (or @t197 @t644)) % 1.12/1.34 (define @t3408 () (=> tptp.singletoninpowunion @t3406)) % 1.12/1.34 (define @t3409 () (or @t197 @t640)) % 1.12/1.34 (define @t3410 () (=> tptp.singletoninpowerset @t3408)) % 1.12/1.34 (define @t3411 () (or @t197 @t636)) % 1.12/1.34 (define @t3412 () (=> tptp.singletonsubset @t3410)) % 1.12/1.34 (define @t3413 () (=> tptp.kpairp @t3412)) % 1.12/1.34 (define @t3414 () (=> tptp.kpairiskpair @t3413)) % 1.12/1.34 (define @t3415 () (=> tptp.setukpairIR @t3414)) % 1.12/1.34 (define @t3416 () (=> tptp.setukpairIL @t3415)) % 1.12/1.34 (define @t3417 () (=> tptp.secondinupair @t3416)) % 1.12/1.34 (define @t3418 () (or @t7 @t6 @t611)) % 1.12/1.34 (define @t3419 () (not @t437)) % 1.12/1.34 (define @t3420 () (not @t197)) % 1.12/1.34 (define @t3421 () (=> tptp.symdiffIneg2 @t3417)) % 1.12/1.34 (define @t3422 () (or @t197 @t437 @t611)) % 1.12/1.34 (define @t3423 () (=> tptp.symdiffIneg1 @t3421)) % 1.12/1.34 (define @t3424 () (or @t7 @t437 @t601)) % 1.12/1.34 (define @t3425 () (=> tptp.symdiffI2 @t3423)) % 1.12/1.34 (define @t3426 () (or @t197 @t6 @t601)) % 1.12/1.34 (define @t3427 () (=> tptp.symdiffI1 @t3425)) % 1.12/1.34 (define @t3428 () (or @t611 @t1819 @t1818)) % 1.12/1.34 (define @t3429 () (or @t1819 @t1818)) % 1.12/1.34 (define @t3430 () (and @t1384 @t1812 @t2608)) % 1.12/1.34 (define @t3431 () (and @t1383 @t1814 @t2608)) % 1.12/1.34 (define @t3432 () (or @t3431 @t3430)) % 1.12/1.34 (define @t3433 () (or @t3431 @t3430 false)) % 1.12/1.34 (define @t3434 () (and @t1384 @t1812 @t1060)) % 1.12/1.34 (define @t3435 () (and @t1383 @t1814 @t1060)) % 1.12/1.34 (define @t3436 () (or @t173 @t3435 @t3434 @t173)) % 1.12/1.34 (define @t3437 () (or @t3435 @t3434 @t173)) % 1.12/1.34 (define @t3438 () (and @t197 @t6 @t1060)) % 1.12/1.34 (define @t3439 () (and @t7 @t437 @t1060)) % 1.12/1.34 (define @t3440 () (or @t3439 @t3438 @t173)) % 1.12/1.34 (define @t3441 () (and @t6 @t1060)) % 1.12/1.34 (define @t3442 () (not @t500)) % 1.12/1.34 (define @t3443 () (=> tptp.symdiffE @t3427)) % 1.12/1.34 (define @t3444 () (= tptp.emptyset @t567)) % 1.12/1.34 (define @t3445 () (not @t3444)) % 1.12/1.34 (define @t3446 () (or @t3445 @t422)) % 1.12/1.34 (define @t3447 () (=> tptp.setminusSubset1 @t3443)) % 1.12/1.34 (define @t3448 () (=> tptp.setminusLsub @t3447)) % 1.12/1.34 (define @t3449 () (or @t437 @t580)) % 1.12/1.34 (define @t3450 () (=> tptp.setminusIRneg @t3448)) % 1.12/1.34 (define @t3451 () (or @t7 @t580)) % 1.12/1.34 (define @t3452 () (=> tptp.setminusILneg @t3450)) % 1.12/1.34 (define @t3453 () (or @t568 @t6 @t197)) % 1.12/1.34 (define @t3454 () (or @t6 @t197)) % 1.12/1.34 (define @t3455 () (not @t580)) % 1.12/1.34 (define @t3456 () (=> tptp.setminusELneg @t3452)) % 1.12/1.34 (define @t3457 () (or @t568 @t197 @t6)) % 1.12/1.34 (define @t3458 () (or @t197 @t6)) % 1.12/1.34 (define @t3459 () (=> tptp.setminusERneg @t3456)) % 1.12/1.34 (define @t3460 () (or @t441 @t3444)) % 1.12/1.34 (define @t3461 () (=> tptp.setminusSubset2 @t3459)) % 1.12/1.34 (define @t3462 () (or @t580 @t437)) % 1.12/1.34 (define @t3463 () (=> tptp.setminusER @t3461)) % 1.12/1.34 (define @t3464 () (or @t580 @t7)) % 1.12/1.34 (define @t3465 () (=> tptp.setminusEL @t3463)) % 1.12/1.34 (define @t3466 () (or @t197 @t6 @t568)) % 1.12/1.34 (define @t3467 () (=> tptp.setminusI @t3465)) % 1.12/1.34 (define @t3468 () (=> tptp.bs114d @t3467)) % 1.12/1.34 (define @t3469 () (= @t2 @t517)) % 1.12/1.34 (define @t3470 () (not @t3469)) % 1.12/1.34 (define @t3471 () (or @t3470 @t422)) % 1.12/1.34 (define @t3472 () (=> tptp.binintersectSubset1 @t3468)) % 1.12/1.34 (define @t3473 () (= @t1 @t517)) % 1.12/1.34 (define @t3474 () (not @t427)) % 1.12/1.34 (define @t3475 () (or @t3474 @t3473)) % 1.12/1.34 (define @t3476 () (=> tptp.binintersectSubset4 @t3472)) % 1.12/1.34 (define @t3477 () (_ tptp.subset @t1839)) % 1.12/1.34 (define @t3478 () (=> tptp.binintersectRsub @t3476)) % 1.12/1.34 (define @t3479 () (= tptp.emptyset @t517)) % 1.12/1.34 (define @t3480 () (or @t1853 @t3479)) % 1.12/1.34 (define @t3481 () (or @t197 @t437)) % 1.12/1.34 (define @t3482 () (forall @t9 (not @t545))) % 1.12/1.34 (define @t3483 () (not @t3482)) % 1.12/1.34 (define @t3484 () (=> tptp.disjointsetsI1 @t3478)) % 1.12/1.34 (define @t3485 () (not @t518)) % 1.12/1.34 (define @t3486 () (or @t3485 @t6)) % 1.12/1.34 (define @t3487 () (=> tptp.binintersectER @t3484)) % 1.12/1.34 (define @t3488 () (not @t3473)) % 1.12/1.34 (define @t3489 () (or @t3488 @t427)) % 1.12/1.34 (define @t3490 () (=> tptp.binintersectSubset3 @t3487)) % 1.12/1.34 (define @t3491 () (or @t441 @t3469)) % 1.12/1.34 (define @t3492 () (=> tptp.binintersectSubset2 @t3490)) % 1.12/1.34 (define @t3493 () (=> tptp.binintersectLsub @t3492)) % 1.12/1.34 (define @t3494 () (or @t3485 @t7)) % 1.12/1.34 (define @t3495 () (=> tptp.binintersectEL @t3493)) % 1.12/1.34 (define @t3496 () (not @t524)) % 1.12/1.34 (define @t3497 () (not @t526)) % 1.12/1.34 (define @t3498 () (or @t3497 @t3496 @t523)) % 1.12/1.34 (define @t3499 () (=> tptp.binintersectSubset5 @t3495)) % 1.12/1.34 (define @t3500 () (or @t197 @t437 @t518)) % 1.12/1.34 (define @t3501 () (=> tptp.binintersectI @t3499)) % 1.12/1.34 (define @t3502 () (=> tptp.binunionRsub @t3501)) % 1.12/1.34 (define @t3503 () (=> tptp.binunionLsub @t3502)) % 1.12/1.34 (define @t3504 () (not @t495)) % 1.12/1.34 (define @t3505 () (or @t3504 @t7 @t6)) % 1.12/1.34 (define @t3506 () (=> tptp.binunionE @t3503)) % 1.12/1.34 (define @t3507 () (and @t1812 @t2608)) % 1.12/1.34 (define @t3508 () (and @t1383 @t2608)) % 1.12/1.34 (define @t3509 () (or @t1873 @t3508 @t3507)) % 1.12/1.34 (define @t3510 () (or @t1873 @t3508 @t3507 false)) % 1.12/1.34 (define @t3511 () (and @t1812 @t1060)) % 1.12/1.34 (define @t3512 () (and @t1383 @t1060)) % 1.12/1.34 (define @t3513 () (or @t173 @t1873 @t3512 @t3511 @t173)) % 1.12/1.34 (define @t3514 () (or @t1873 @t3512 @t3511 @t173)) % 1.12/1.34 (define @t3515 () (forall @t179 @t3514)) % 1.12/1.34 (define @t3516 () (forall @t245 @t3515)) % 1.12/1.34 (define @t3517 () (and @t7 @t1060)) % 1.12/1.34 (define @t3518 () (or @t3504 @t3517 @t3441 @t173)) % 1.12/1.34 (define @t3519 () (or @t3517 @t3441 @t173)) % 1.12/1.34 (define @t3520 () (=> tptp.binunionEcases @t3506)) % 1.12/1.34 (define @t3521 () (or @t437 @t495)) % 1.12/1.34 (define @t3522 () (=> tptp.binunionIR @t3520)) % 1.12/1.34 (define @t3523 () (=> tptp.upairset2IR @t3522)) % 1.12/1.34 (define @t3524 () (or @t197 @t495)) % 1.12/1.34 (define @t3525 () (=> tptp.binunionIL @t3523)) % 1.12/1.34 (define @t3526 () (tptp.subset @t2957 @t2)) % 1.12/1.34 (define @t3527 () (=> tptp.sepSubset @t3525)) % 1.12/1.34 (define @t3528 () (tptp.in @t2957 @t1371)) % 1.12/1.34 (define @t3529 () (=> tptp.sepInPowerset @t3527)) % 1.12/1.34 (define @t3530 () (or @t441 @t485)) % 1.12/1.34 (define @t3531 () (=> tptp.powersetsubset @t3529)) % 1.12/1.34 (define @t3532 () (=> tptp.inPowerset @t3531)) % 1.12/1.34 (define @t3533 () (not @t35)) % 1.12/1.34 (define @t3534 () (or @t3533 @t427)) % 1.12/1.34 (define @t3535 () (=> tptp.powersetE1 @t3532)) % 1.12/1.34 (define @t3536 () (or @t3474 @t35)) % 1.12/1.34 (define @t3537 () (=> tptp.powersetI1 @t3535)) % 1.12/1.34 (define @t3538 () (not @t475)) % 1.12/1.34 (define @t3539 () (or @t3538 @t196)) % 1.12/1.34 (define @t3540 () (=> tptp.subsetemptysetimpeq @t3537)) % 1.12/1.34 (define @t3541 () (or @t441 @t3474 @t3)) % 1.12/1.34 (define @t3542 () (=> tptp.setextsub @t3540)) % 1.12/1.34 (define @t3543 () (or @t441 @t469)) % 1.12/1.34 (define @t3544 () (=> tptp.subset2powerset @t3542)) % 1.12/1.34 (define @t3545 () (or @t441 @t465)) % 1.12/1.34 (define @t3546 () (=> tptp.setadjoinSub2 @t3544)) % 1.12/1.34 (define @t3547 () (=> tptp.setadjoinSub @t3546)) % 1.12/1.34 (define @t3548 () (not @t455)) % 1.12/1.34 (define @t3549 () (or @t441 @t3548 @t454)) % 1.12/1.34 (define @t3550 () (=> tptp.subsetTrans @t3547)) % 1.12/1.34 (define @t3551 () (=> tptp.subsetRefl @t3550)) % 1.12/1.34 (define @t3552 () (@list @t1 @t4)) % 1.12/1.34 (define @t3553 () (or @t1814 @t1812)) % 1.12/1.34 (define @t3554 () (not (= @t1 @t1))) % 1.12/1.34 (define @t3555 () (or @t1814 @t1812 @t3554)) % 1.12/1.34 (define @t3556 () (or @t445 @t1384 @t1812 @t445)) % 1.12/1.34 (define @t3557 () (or @t1384 @t1812 @t445)) % 1.12/1.34 (define @t3558 () (forall @t64 @t3557)) % 1.12/1.34 (define @t3559 () (forall @t3552 @t3558)) % 1.12/1.34 (define @t3560 () (forall (@list @t1 @t4 @t2) @t3557)) % 1.12/1.34 (define @t3561 () (or @t197 @t6 @t445)) % 1.12/1.34 (define @t3562 () (=> tptp.notequalI2 @t3551)) % 1.12/1.34 (define @t3563 () (or @t1904 @t3554)) % 1.12/1.34 (define @t3564 () (or @t445 @t1821 @t445)) % 1.12/1.34 (define @t3565 () (or @t1821 @t445)) % 1.12/1.34 (define @t3566 () (forall @t64 @t3565)) % 1.12/1.34 (define @t3567 () (forall @t41 @t3566)) % 1.12/1.34 (define @t3568 () (@list @t1 @t2)) % 1.12/1.34 (define @t3569 () (forall @t3568 @t3565)) % 1.12/1.34 (define @t3570 () (or @t422 @t445)) % 1.12/1.34 (define @t3571 () (=> tptp.notequalI1 @t3562)) % 1.12/1.34 (define @t3572 () (or @t197 @t6 @t441)) % 1.12/1.34 (define @t3573 () (=> tptp.notsubsetI @t3571)) % 1.12/1.34 (define @t3574 () (or @t441 @t6 @t197)) % 1.12/1.34 (define @t3575 () (=> tptp.subsetE2 @t3573)) % 1.12/1.34 (define @t3576 () (or @t441 @t197 @t6)) % 1.12/1.34 (define @t3577 () (=> tptp.subsetE @t3575)) % 1.12/1.34 (define @t3578 () (=> tptp.emptysetsubset @t3577)) % 1.12/1.34 (define @t3579 () (or @t1912 @t422)) % 1.12/1.34 (define @t3580 () (=> tptp.subsetI2 @t3578)) % 1.12/1.34 (define @t3581 () (or @t3554 @t1904)) % 1.12/1.34 (define @t3582 () (or @t445 @t445 @t1821)) % 1.12/1.34 (define @t3583 () (or @t445 @t1821)) % 1.12/1.34 (define @t3584 () (forall @t64 @t3583)) % 1.12/1.34 (define @t3585 () (forall @t41 @t3584)) % 1.12/1.34 (define @t3586 () (forall @t3568 @t3583)) % 1.12/1.34 (define @t3587 () (or @t445 @t422)) % 1.12/1.34 (define @t3588 () (=> tptp.eqimpsubset1 @t3580)) % 1.12/1.34 (define @t3589 () (or @t445 @t445 @t1847)) % 1.12/1.34 (define @t3590 () (or @t445 @t1847)) % 1.12/1.34 (define @t3591 () (forall @t64 @t3590)) % 1.12/1.34 (define @t3592 () (forall @t41 @t3591)) % 1.12/1.34 (define @t3593 () (forall @t3568 @t3590)) % 1.12/1.34 (define @t3594 () (or @t445 @t427)) % 1.12/1.34 (define @t3595 () (=> tptp.eqimpsubset2 @t3588)) % 1.12/1.34 (define @t3596 () (=> tptp.subsetI1 @t3595)) % 1.12/1.34 (define @t3597 () (or @t1814 @t1814 @t1919)) % 1.12/1.34 (define @t3598 () (forall @t9 @t3597)) % 1.12/1.34 (define @t3599 () (not @t3598)) % 1.12/1.34 (define @t3600 () (or @t3554 @t3599 (= @t1915 @t1917))) % 1.12/1.34 (define @t3601 () (= (tptp.dsetconstr @t2 @t1914) @t1917)) % 1.12/1.34 (define @t3602 () (not (forall @t9 (or @t1384 @t1814 @t1919)))) % 1.12/1.34 (define @t3603 () (or @t445 @t445 @t3602 @t3601)) % 1.12/1.34 (define @t3604 () (or @t445 @t3602 @t3601)) % 1.12/1.34 (define @t3605 () (forall @t64 @t3604)) % 1.12/1.34 (define @t3606 () (forall @t1923 @t3605)) % 1.12/1.34 (define @t3607 () (forall (@list @t1 @t1914 @t1916 @t2) @t3604)) % 1.12/1.34 (define @t3608 () (@list @t2 @t1 @t1914 @t1916)) % 1.12/1.34 (define @t3609 () (or @t3602 @t3601)) % 1.12/1.34 (define @t3610 () (or @t445 @t3609)) % 1.12/1.34 (define @t3611 () (forall @t3608 @t3610)) % 1.12/1.34 (define @t3612 () (@list @t1914 @t1916)) % 1.12/1.34 (define @t3613 () (forall @t3612 @t3610)) % 1.12/1.34 (define @t3614 () (forall @t3612 @t3609)) % 1.12/1.34 (define @t3615 () (or @t445 @t3614)) % 1.12/1.34 (define @t3616 () (= @t1707 @t1948)) % 1.12/1.34 (define @t3617 () (forall @t9 (or @t1384 @t1814 @t3616))) % 1.12/1.34 (define @t3618 () (not @t3617)) % 1.12/1.34 (define @t3619 () (forall @t378 (or @t3618 (= @t1545 (tptp.dsetconstr @t1 @t368))))) % 1.12/1.34 (define @t3620 () (lambda @t9 @t1948)) % 1.12/1.34 (define @t3621 () (tptp.dsetconstr @t1 @t3620)) % 1.12/1.34 (define @t3622 () (= @t2957 @t3621)) % 1.12/1.34 (define @t3623 () (or @t3618 @t3622)) % 1.12/1.34 (define @t3624 () (or @t3618 @t412)) % 1.12/1.34 (define @t3625 () (or @t197 @t1814 @t3616)) % 1.12/1.34 (define @t3626 () (or @t1814 @t3616)) % 1.12/1.34 (define @t3627 () (not (= @t4 @t4))) % 1.12/1.34 (define @t3628 () (or @t1814 @t3627 @t3616)) % 1.12/1.34 (define @t3629 () (= @t1707 @t1926)) % 1.12/1.34 (define @t3630 () (or @t282 @t2788 @t282 @t3629)) % 1.12/1.34 (define @t3631 () (or @t2788 @t282 @t3629)) % 1.12/1.34 (define @t3632 () (or @t2793 @t282 @t374)) % 1.12/1.34 (define @t3633 () (or @t282 @t374)) % 1.12/1.34 (define @t3634 () (=> tptp.dsetconstr__Cong @t3596)) % 1.12/1.34 (define @t3635 () (or @t1927 (= @t1925 @t19))) % 1.12/1.34 (define @t3636 () (forall @t70 @t3635)) % 1.12/1.34 (define @t3637 () (not @t3636)) % 1.12/1.34 (define @t3638 () (or @t1717 (= @t1929 @t19))) % 1.12/1.34 (define @t3639 () (forall @t70 @t3638)) % 1.12/1.34 (define @t3640 () (not @t3639)) % 1.12/1.34 (define @t3641 () (or @t1935 @t1932 @t1930 @t3640 @t1928 @t3637)) % 1.12/1.34 (define @t3642 () (or @t1928 @t3637)) % 1.12/1.34 (define @t3643 () (or @t1930 @t3640)) % 1.12/1.34 (define @t3644 () (or @t1935 @t3643 @t3642 @t1932)) % 1.12/1.34 (define @t3645 () (forall @t1936 @t3644)) % 1.12/1.34 (define @t3646 () (forall (@list @t1929 @t1925) @t3644)) % 1.12/1.34 (define @t3647 () (forall (@list @t1925) @t3642)) % 1.12/1.34 (define @t3648 () (forall (@list @t1929) @t3643)) % 1.12/1.34 (define @t3649 () (or @t1935 @t3648 @t3647 @t1932)) % 1.12/1.34 (define @t3650 () (tptp.descr @t3620)) % 1.12/1.34 (define @t3651 () (tptp.descr @t2956)) % 1.12/1.34 (define @t3652 () (= @t3651 @t3650)) % 1.12/1.34 (define @t3653 () (or @t1935 @t1953 @t1949 @t3652)) % 1.12/1.34 (define @t3654 () (or @t1935 @t1953 @t1949 @t404)) % 1.12/1.34 (define @t3655 () (or @t1953 @t1949 @t404)) % 1.12/1.34 (define @t3656 () (=> @t1950 @t404)) % 1.12/1.34 (define @t3657 () (not @t1954)) % 1.12/1.34 (define @t3658 () (=> @t1954 @t3656)) % 1.12/1.34 (define @t3659 () (not @t369)) % 1.12/1.34 (define @t3660 () (or @t3659 @t1947)) % 1.12/1.34 (define @t3661 () (not @t373)) % 1.12/1.34 (define @t3662 () (or @t3661 @t129)) % 1.12/1.34 (define @t3663 () (_ @t370 @t19)) % 1.12/1.34 (define @t3664 () (not @t3663)) % 1.12/1.34 (define @t3665 () (or @t3664 @t129)) % 1.12/1.34 (define @t3666 () (forall @t70 @t3665)) % 1.12/1.34 (define @t3667 () (not @t3666)) % 1.12/1.34 (define @t3668 () (_ @t370 @t4)) % 1.12/1.34 (define @t3669 () (not @t3668)) % 1.12/1.34 (define @t3670 () (or @t3669 @t3667)) % 1.12/1.34 (define @t3671 () (forall @t9 @t3670)) % 1.12/1.34 (define @t3672 () (not @t3671)) % 1.12/1.34 (define @t3673 () (lambda @t150 @t1954)) % 1.12/1.34 (define @t3674 () (_ @t3673 @t370)) % 1.12/1.34 (define @t3675 () (=> @t3674 @t404)) % 1.12/1.34 (define @t3676 () (or @t317 @t1952)) % 1.12/1.34 (define @t3677 () (_ @t145 @t19)) % 1.12/1.34 (define @t3678 () (not @t3677)) % 1.12/1.34 (define @t3679 () (or @t3678 @t129)) % 1.12/1.34 (define @t3680 () (forall @t70 @t3679)) % 1.12/1.34 (define @t3681 () (not @t3680)) % 1.12/1.34 (define @t3682 () (_ @t145 @t4)) % 1.12/1.34 (define @t3683 () (not @t3682)) % 1.12/1.34 (define @t3684 () (or @t3683 @t3681)) % 1.12/1.34 (define @t3685 () (forall @t9 @t3684)) % 1.12/1.34 (define @t3686 () (not @t3685)) % 1.12/1.34 (define @t3687 () (_ @t3673 @t145)) % 1.12/1.34 (define @t3688 () (=> @t3687 @t3675)) % 1.12/1.34 (define @t3689 () (or @t3210 @t1933)) % 1.12/1.34 (define @t3690 () (or @t282 @t282 @t3629)) % 1.12/1.34 (define @t3691 () (or @t282 @t3629)) % 1.12/1.34 (define @t3692 () (forall @t9 @t3691)) % 1.12/1.34 (define @t3693 () (forall @t70 @t3692)) % 1.12/1.34 (define @t3694 () (forall @t3218 @t3691)) % 1.12/1.34 (define @t3695 () (=> @t376 @t3688)) % 1.12/1.34 (define @t3696 () (forall @t378 @t3695)) % 1.12/1.34 (define @t3697 () (and @t144 @t1951)) % 1.12/1.34 (define @t3698 () (forall @t9 (not @t3697))) % 1.12/1.34 (define @t3699 () (not @t3698)) % 1.12/1.34 (define @t3700 () (=> tptp.descr__Cong @t3634)) % 1.12/1.34 (define @t3701 () (or @t1717 (= @t1943 @t19))) % 1.12/1.34 (define @t3702 () (forall @t70 @t3701)) % 1.12/1.34 (define @t3703 () (not @t3702)) % 1.12/1.34 (define @t3704 () (or @t1944 @t3703 @t1942 @t1941 @t1940)) % 1.12/1.34 (define @t3705 () (or @t1942 @t1941 @t1940)) % 1.12/1.34 (define @t3706 () (or @t1944 @t3703)) % 1.12/1.34 (define @t3707 () (or @t3706 @t3705)) % 1.12/1.34 (define @t3708 () (forall @t1945 @t3707)) % 1.12/1.34 (define @t3709 () (forall (@list @t1943 @t1939 @t1938) @t3707)) % 1.12/1.34 (define @t3710 () (forall (@list @t1939 @t1938) @t3705)) % 1.12/1.34 (define @t3711 () (forall (@list @t1943) @t3706)) % 1.12/1.34 (define @t3712 () (or @t3711 @t3710)) % 1.12/1.34 (define @t3713 () (=> @t3687 @t346)) % 1.12/1.34 (define @t3714 () (forall @t150 @t3713)) % 1.12/1.34 (define @t3715 () (=> tptp.exuEu @t3700)) % 1.12/1.34 (define @t3716 () (=> tptp.omega__Cong @t3715)) % 1.12/1.34 (define @t3717 () (tptp.setunion @t1)) % 1.12/1.34 (define @t3718 () (or @t3554 (= @t3717 @t3717))) % 1.12/1.34 (define @t3719 () (= @t1738 @t3717)) % 1.12/1.34 (define @t3720 () (or @t445 @t445 @t3719)) % 1.12/1.34 (define @t3721 () (or @t445 @t3719)) % 1.12/1.34 (define @t3722 () (forall @t64 @t3721)) % 1.12/1.34 (define @t3723 () (forall @t41 @t3722)) % 1.12/1.34 (define @t3724 () (forall @t3568 @t3721)) % 1.12/1.34 (define @t3725 () (or @t445 @t398)) % 1.12/1.34 (define @t3726 () (=> tptp.setunion__Cong @t3716)) % 1.12/1.34 (define @t3727 () (or @t3554 (= @t1879 @t1879))) % 1.12/1.34 (define @t3728 () (= @t1371 @t1879)) % 1.12/1.34 (define @t3729 () (or @t445 @t445 @t3728)) % 1.12/1.34 (define @t3730 () (or @t445 @t3728)) % 1.12/1.34 (define @t3731 () (forall @t64 @t3730)) % 1.12/1.34 (define @t3732 () (forall @t41 @t3731)) % 1.12/1.34 (define @t3733 () (forall @t3568 @t3730)) % 1.12/1.34 (define @t3734 () (or @t445 @t394)) % 1.12/1.34 (define @t3735 () (=> tptp.powerset__Cong @t3726)) % 1.12/1.34 (define @t3736 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 1.12/1.34 (define @t3737 () (@list @t19 @t3736)) % 1.12/1.34 (define @t3738 () (tptp.setadjoin @t19 @t3736)) % 1.12/1.34 (define @t3739 () (or @t3210 (= @t3738 @t3738))) % 1.12/1.34 (define @t3740 () (= @t3738 (tptp.setadjoin @t4 @t3736))) % 1.12/1.34 (define @t3741 () (or @t282 @t282 @t3740)) % 1.12/1.34 (define @t3742 () (or @t282 @t3740)) % 1.12/1.34 (define @t3743 () (forall @t9 @t3742)) % 1.12/1.34 (define @t3744 () (forall @t3737 @t3743)) % 1.12/1.34 (define @t3745 () (forall (@list @t19 @t3736 @t4) @t3742)) % 1.12/1.34 (define @t3746 () (forall (@list @t4 @t19 @t3736) @t3742)) % 1.12/1.34 (define @t3747 () (@list @t3736)) % 1.12/1.34 (define @t3748 () (forall @t3747 @t3742)) % 1.12/1.34 (define @t3749 () (forall @t3747 @t3740)) % 1.12/1.34 (define @t3750 () (or @t282 @t3749)) % 1.12/1.34 (define @t3751 () (tptp.setadjoin @t4 @t383)) % 1.12/1.34 (define @t3752 () (tptp.setadjoin @t19 @t383)) % 1.12/1.34 (define @t3753 () (= @t3752 @t3751)) % 1.12/1.34 (define @t3754 () (forall @t755 @t3753)) % 1.12/1.34 (define @t3755 () (or @t3200 (= @t3751 @t3752))) % 1.12/1.34 (define @t3756 () (tptp.setadjoin @t4 @t289)) % 1.12/1.34 (define @t3757 () (= @t3756 @t3752)) % 1.12/1.34 (define @t3758 () (or @t3202 @t3202 @t3757)) % 1.12/1.34 (define @t3759 () (or @t3202 @t3757)) % 1.12/1.34 (define @t3760 () (forall @t1064 @t3759)) % 1.12/1.34 (define @t3761 () (forall @t755 @t3760)) % 1.12/1.34 (define @t3762 () (forall (@list @t383 @t289) @t3759)) % 1.12/1.34 (define @t3763 () (or @t3202 @t386)) % 1.12/1.34 (define @t3764 () (=> tptp.setadjoin__Cong @t3735)) % 1.12/1.34 (define @t3765 () (=> tptp.emptyset__Cong @t3764)) % 1.12/1.34 (define @t3766 () (= @t3687 @t3674)) % 1.12/1.34 (define @t3767 () (=> @t376 @t3766)) % 1.12/1.34 (define @t3768 () (forall @t378 @t3767)) % 1.12/1.34 (define @t3769 () (=> tptp.exu__Cong @t3765)) % 1.12/1.34 (define @t3770 () (=> tptp.exuE3u @t3769)) % 1.12/1.34 (define @t3771 () (@var "BOUND_VARIABLE_10402" $$unsorted)) % 1.12/1.34 (define @t3772 () (@list @t1 @t3771)) % 1.12/1.34 (define @t3773 () (tptp.in @t3771 @t1)) % 1.12/1.34 (define @t3774 () (or @t3554 (= @t3773 @t3773))) % 1.12/1.34 (define @t3775 () (= (tptp.in @t3771 @t2) @t3773)) % 1.12/1.34 (define @t3776 () (or @t445 @t445 @t3775)) % 1.12/1.34 (define @t3777 () (or @t445 @t3775)) % 1.12/1.34 (define @t3778 () (forall @t64 @t3777)) % 1.12/1.34 (define @t3779 () (forall @t3772 @t3778)) % 1.12/1.34 (define @t3780 () (forall (@list @t1 @t3771 @t2) @t3777)) % 1.12/1.34 (define @t3781 () (forall (@list @t2 @t1 @t3771) @t3777)) % 1.12/1.34 (define @t3782 () (@list @t3771)) % 1.12/1.34 (define @t3783 () (forall @t3782 @t3777)) % 1.12/1.34 (define @t3784 () (forall @t3782 @t3775)) % 1.12/1.34 (define @t3785 () (or @t445 @t3784)) % 1.12/1.34 (define @t3786 () (= @t1718 @t1603)) % 1.12/1.34 (define @t3787 () (forall @t70 @t3786)) % 1.12/1.34 (define @t3788 () (or @t3210 @t3786)) % 1.12/1.34 (define @t3789 () (= @t1383 @t1603)) % 1.12/1.34 (define @t3790 () (or @t282 @t282 @t3789)) % 1.12/1.34 (define @t3791 () (or @t282 @t3789)) % 1.12/1.34 (define @t3792 () (forall @t9 @t3791)) % 1.12/1.34 (define @t3793 () (forall @t70 @t3792)) % 1.12/1.34 (define @t3794 () (forall @t3218 @t3791)) % 1.12/1.34 (define @t3795 () (or @t282 @t360)) % 1.12/1.34 (define @t3796 () (=> tptp.in__Cong @t3770)) % 1.12/1.34 (define @t3797 () (@var "BOUND_VARIABLE_10365" $$unsorted)) % 1.12/1.34 (define @t3798 () (@list @t1 @t3797)) % 1.12/1.34 (define @t3799 () (tptp.in @t3797 @t1)) % 1.12/1.34 (define @t3800 () (not @t3799)) % 1.12/1.34 (define @t3801 () (or @t3800 @t3799)) % 1.12/1.34 (define @t3802 () (or @t3554 @t3800 @t3799)) % 1.12/1.34 (define @t3803 () (not (tptp.in @t3797 @t2))) % 1.12/1.34 (define @t3804 () (or @t445 @t445 @t3803 @t3799)) % 1.12/1.34 (define @t3805 () (or @t445 @t3803 @t3799)) % 1.12/1.34 (define @t3806 () (forall @t64 @t3805)) % 1.12/1.34 (define @t3807 () (forall @t3798 @t3806)) % 1.12/1.34 (define @t3808 () (forall (@list @t1 @t3797 @t2) @t3805)) % 1.12/1.34 (define @t3809 () (@list @t2 @t1 @t3797)) % 1.12/1.34 (define @t3810 () (or @t3803 @t3799)) % 1.12/1.34 (define @t3811 () (or @t445 @t3810)) % 1.12/1.34 (define @t3812 () (forall @t3809 @t3811)) % 1.12/1.34 (define @t3813 () (@list @t3797)) % 1.12/1.34 (define @t3814 () (forall @t3813 @t3811)) % 1.12/1.34 (define @t3815 () (forall @t3813 @t3810)) % 1.12/1.34 (define @t3816 () (or @t445 @t3815)) % 1.12/1.34 (define @t3817 () (or @t1719 @t1603)) % 1.12/1.34 (define @t3818 () (forall @t70 @t3817)) % 1.12/1.34 (define @t3819 () (or @t3210 @t1719 @t1603)) % 1.12/1.34 (define @t3820 () (or @t282 @t282 @t1384 @t1603)) % 1.12/1.34 (define @t3821 () (or @t282 @t1384 @t1603)) % 1.12/1.34 (define @t3822 () (forall @t9 @t3821)) % 1.12/1.34 (define @t3823 () (forall @t70 @t3822)) % 1.12/1.34 (define @t3824 () (forall @t3218 @t3821)) % 1.12/1.34 (define @t3825 () (or @t282 @t197 @t354)) % 1.12/1.34 (define @t3826 () (=> tptp.inCongP @t3796)) % 1.12/1.34 (define @t3827 () (= @t1957 @t19)) % 1.12/1.34 (define @t3828 () (forall @t70 (= @t3827 @t1716))) % 1.12/1.34 (define @t3829 () (not @t3828)) % 1.12/1.34 (define @t3830 () (or @t3829 @t1954)) % 1.12/1.34 (define @t3831 () (forall @t1958 @t3830)) % 1.12/1.34 (define @t3832 () (@list @t1957)) % 1.12/1.34 (define @t3833 () (forall @t3832 @t3830)) % 1.12/1.34 (define @t3834 () (forall @t3832 @t3829)) % 1.12/1.34 (define @t3835 () (or @t3834 @t1954)) % 1.12/1.34 (define @t3836 () (= @t153 @t129)) % 1.12/1.34 (define @t3837 () (=> @t265 @t3687)) % 1.12/1.34 (define @t3838 () (forall @t150 @t3837)) % 1.12/1.34 (define @t3839 () (=> tptp.exuI2 @t3826)) % 1.12/1.34 (define @t3840 () (@list @t1962)) % 1.12/1.34 (define @t3841 () (forall @t3840 @t1964)) % 1.12/1.34 (define @t3842 () (forall @t3840 @t1963)) % 1.12/1.34 (define @t3843 () (or @t3842 @t1961 @t1954)) % 1.12/1.34 (define @t3844 () (or @t2072 @t1961 @t1954)) % 1.12/1.34 (define @t3845 () (=> @t1960 @t1954)) % 1.12/1.34 (define @t3846 () (=> @t346 @t3687)) % 1.12/1.34 (define @t3847 () (forall @t9 @t317)) % 1.12/1.34 (define @t3848 () (not @t3847)) % 1.12/1.34 (define @t3849 () (=> @t186 @t3846)) % 1.12/1.34 (define @t3850 () (forall @t150 @t3849)) % 1.12/1.34 (define @t3851 () (=> tptp.exuI3 @t3839)) % 1.12/1.34 (define @t3852 () (=> @t169 @t3687)) % 1.12/1.34 (define @t3853 () (forall @t150 @t3852)) % 1.12/1.34 (define @t3854 () (=> tptp.exuI1 @t3851)) % 1.12/1.34 (define @t3855 () (forall @t9 (or @t1384 @t1707))) % 1.12/1.34 (define @t3856 () (not @t3855)) % 1.12/1.34 (define @t3857 () (or @t197 @t144)) % 1.12/1.34 (define @t3858 () (forall @t9 (not @t318))) % 1.12/1.34 (define @t3859 () (not @t3858)) % 1.12/1.34 (define @t3860 () (=> tptp.notdallE @t3854)) % 1.12/1.34 (define @t3861 () (=> tptp.notdexE @t3860)) % 1.12/1.34 (define @t3862 () (or @t2451 @t1968)) % 1.12/1.34 (define @t3863 () (tptp.prop2set @t173)) % 1.12/1.34 (define @t3864 () (tptp.set2prop @t3863)) % 1.12/1.34 (define @t3865 () (or @t1060 @t1060 @t3864)) % 1.12/1.34 (define @t3866 () (or @t1060 @t3864)) % 1.12/1.34 (define @t3867 () (or @t1060 @t339)) % 1.12/1.34 (define @t3868 () (=> tptp.prop2set2propI @t3861)) % 1.12/1.34 (define @t3869 () (or @t2451 @t1970)) % 1.12/1.34 (define @t3870 () (tptp.in tptp.emptyset @t3863)) % 1.12/1.34 (define @t3871 () (or @t1060 @t1060 @t3870)) % 1.12/1.34 (define @t3872 () (or @t1060 @t3870)) % 1.12/1.34 (define @t3873 () (or @t1060 @t336)) % 1.12/1.34 (define @t3874 () (=> tptp.prop2setI @t3868)) % 1.12/1.34 (define @t3875 () (=> tptp.quantDeMorgan4 @t3874)) % 1.12/1.34 (define @t3876 () (=> tptp.quantDeMorgan3 @t3875)) % 1.12/1.34 (define @t3877 () (=> tptp.quantDeMorgan2 @t3876)) % 1.12/1.34 (define @t3878 () (=> tptp.quantDeMorgan1 @t3877)) % 1.12/1.34 (define @t3879 () (or @t16 @t144)) % 1.12/1.34 (define @t3880 () (=> tptp.vacuousDall @t3878)) % 1.12/1.34 (define @t3881 () (or @t1978 @t1977)) % 1.12/1.34 (define @t3882 () (or @t3881 @t1979)) % 1.12/1.34 (define @t3883 () (forall @t1981 @t3882)) % 1.12/1.34 (define @t3884 () (@list @t1976)) % 1.12/1.34 (define @t3885 () (forall @t3884 @t3882)) % 1.12/1.34 (define @t3886 () (forall @t3884 @t3881)) % 1.12/1.34 (define @t3887 () (or @t3886 @t1979)) % 1.12/1.34 (define @t3888 () (= tptp.emptyset @t2957)) % 1.12/1.34 (define @t3889 () (not @t3888)) % 1.12/1.34 (define @t3890 () (or @t1723 @t3889)) % 1.12/1.34 (define @t3891 () (= tptp.emptyset @t306)) % 1.12/1.34 (define @t3892 () (not @t3891)) % 1.12/1.34 (define @t3893 () (or @t1723 @t3892)) % 1.12/1.34 (define @t3894 () (=> tptp.emptyE1 @t3880)) % 1.12/1.34 (define @t3895 () (=> tptp.upairsetIR @t3894)) % 1.12/1.34 (define @t3896 () (=> tptp.upairsetIL @t3895)) % 1.12/1.34 (define @t3897 () (=> tptp.upairsetE @t3896)) % 1.12/1.34 (define @t3898 () (not @t276)) % 1.12/1.34 (define @t3899 () (or @t3898 @t280)) % 1.12/1.34 (define @t3900 () (=> tptp.singletonsswitch @t3897)) % 1.12/1.34 (define @t3901 () (or @t3210 @t1994)) % 1.12/1.34 (define @t3902 () (or @t282 @t282 @t1990)) % 1.12/1.34 (define @t3903 () (or @t282 @t1990)) % 1.12/1.34 (define @t3904 () (forall @t9 @t3903)) % 1.12/1.34 (define @t3905 () (forall @t70 @t3904)) % 1.12/1.34 (define @t3906 () (forall @t3218 @t3903)) % 1.12/1.34 (define @t3907 () (or @t282 @t276)) % 1.12/1.34 (define @t3908 () (=> tptp.eqinunit @t3900)) % 1.12/1.34 (define @t3909 () (or @t129 @t281)) % 1.12/1.34 (define @t3910 () (=> tptp.notinsingleton @t3908)) % 1.12/1.34 (define @t3911 () (or @t3898 @t129)) % 1.12/1.34 (define @t3912 () (=> tptp.uniqinunit @t3910)) % 1.12/1.34 (define @t3913 () (not @t196)) % 1.12/1.34 (define @t3914 () (not @t198)) % 1.12/1.34 (define @t3915 () (_ @t1367 @t2)) % 1.12/1.34 (define @t3916 () (=> @t3915 @t270)) % 1.12/1.34 (define @t3917 () (forall @t64 @t3916)) % 1.12/1.34 (define @t3918 () (=> tptp.nonemptyImpWitness @t3912)) % 1.12/1.34 (define @t3919 () (or @t1717 (= @t2005 @t19))) % 1.12/1.34 (define @t3920 () (forall @t70 @t3919)) % 1.12/1.34 (define @t3921 () (not @t3920)) % 1.12/1.34 (define @t3922 () (or @t2009 @t2006 @t3921)) % 1.12/1.34 (define @t3923 () (or @t2006 @t3921)) % 1.12/1.34 (define @t3924 () (or @t3923 @t2009)) % 1.12/1.34 (define @t3925 () (forall @t2010 @t3924)) % 1.12/1.34 (define @t3926 () (@list @t2005)) % 1.12/1.34 (define @t3927 () (forall @t3926 @t3924)) % 1.12/1.34 (define @t3928 () (forall @t3926 @t3923)) % 1.12/1.34 (define @t3929 () (or @t3928 @t2009)) % 1.12/1.34 (define @t3930 () (=> @t3687 @t265)) % 1.12/1.34 (define @t3931 () (forall @t150 @t3930)) % 1.12/1.34 (define @t3932 () (=> tptp.exuE2 @t3918)) % 1.12/1.34 (define @t3933 () (or @t197 @t260)) % 1.12/1.34 (define @t3934 () (=> tptp.subPowSU @t3932)) % 1.12/1.34 (define @t3935 () (or @t3304 @t2020)) % 1.12/1.34 (define @t3936 () (and @t2608 @t2020)) % 1.12/1.34 (define @t3937 () (or @t3936 false)) % 1.12/1.34 (define @t3938 () (and @t1060 @t2020)) % 1.12/1.34 (define @t3939 () (or @t173 @t3938 @t173)) % 1.12/1.34 (define @t3940 () (or @t3938 @t173)) % 1.12/1.34 (define @t3941 () (or @t173 @t2019)) % 1.12/1.34 (define @t3942 () (not @t39)) % 1.12/1.34 (define @t3943 () (or @t437 @t3942)) % 1.12/1.34 (define @t3944 () (forall @t41 @t3943)) % 1.12/1.34 (define @t3945 () (or @t173 @t3944)) % 1.12/1.34 (define @t3946 () (or @t173 @t3943)) % 1.12/1.34 (define @t3947 () (or @t437 @t3942 @t173)) % 1.12/1.34 (define @t3948 () (=> tptp.setunionE @t3934)) % 1.12/1.34 (define @t3949 () (or @t437 @t3942 @t44)) % 1.12/1.34 (define @t3950 () (=> tptp.setunionI @t3948)) % 1.12/1.34 (define @t3951 () (or @t3533 @t437 @t7)) % 1.12/1.34 (define @t3952 () (or @t437 @t7)) % 1.12/1.34 (define @t3953 () (=> tptp.powersetE @t3950)) % 1.12/1.34 (define @t3954 () (=> tptp.emptyInPowerset @t3953)) % 1.12/1.34 (define @t3955 () (=> tptp.emptyinPowerset @t3954)) % 1.12/1.34 (define @t3956 () (or @t2032 @t35)) % 1.12/1.34 (define @t3957 () (=> tptp.powersetI @t3955)) % 1.12/1.34 (define @t3958 () (_ @t155 @t2036)) % 1.12/1.34 (define @t3959 () (= @t2 @t3958)) % 1.12/1.34 (define @t3960 () (=> tptp.setoftrueEq @t3957)) % 1.12/1.34 (define @t3961 () (not @t26)) % 1.12/1.34 (define @t3962 () (or @t3961 @t129 @t21)) % 1.12/1.34 (define @t3963 () (or @t129 @t21)) % 1.12/1.34 (define @t3964 () (=> tptp.setadjoinOr @t3960)) % 1.12/1.34 (define @t3965 () (or @t3961 @t129 @t1718)) % 1.12/1.34 (define @t3966 () (and @t1718 @t2608)) % 1.12/1.34 (define @t3967 () (and @t129 @t2608)) % 1.12/1.34 (define @t3968 () (or @t3967 @t3966)) % 1.12/1.34 (define @t3969 () (or @t3967 @t3966 false)) % 1.12/1.34 (define @t3970 () (and @t1718 @t1060)) % 1.12/1.34 (define @t3971 () (and @t129 @t1060)) % 1.12/1.34 (define @t3972 () (or @t173 @t3971 @t3970 @t173)) % 1.12/1.34 (define @t3973 () (or @t3971 @t3970 @t173)) % 1.12/1.34 (define @t3974 () (and @t21 @t1060)) % 1.12/1.34 (define @t3975 () (or @t3971 @t3974 @t173)) % 1.12/1.34 (define @t3976 () (=> @t129 @t173)) % 1.12/1.34 (define @t3977 () (=> tptp.setadjoinE @t3964)) % 1.12/1.34 (define @t3978 () (or @t2420 @t26)) % 1.12/1.34 (define @t3979 () (=> tptp.setadjoinIR @t3977)) % 1.12/1.34 (define @t3980 () (=> tptp.emptyinunitempty @t3979)) % 1.12/1.34 (define @t3981 () (=> tptp.setadjoinIL @t3980)) % 1.12/1.34 (define @t3982 () (not @t381)) % 1.12/1.34 (define @t3983 () (or @t2054 @t3982)) % 1.12/1.34 (define @t3984 () (not (tptp.in @t2053 @t2))) % 1.12/1.34 (define @t3985 () (or @t3913 @t3984 @t3913)) % 1.12/1.34 (define @t3986 () (or @t3984 @t3913)) % 1.12/1.34 (define @t3987 () (forall @t64 @t3986)) % 1.12/1.34 (define @t3988 () (forall @t2055 @t3987)) % 1.12/1.34 (define @t3989 () (forall (@list @t2053 @t2) @t3986)) % 1.12/1.34 (define @t3990 () (forall (@list @t2 @t2053) @t3986)) % 1.12/1.34 (define @t3991 () (forall @t2055 @t3986)) % 1.12/1.34 (define @t3992 () (forall @t2055 @t3984)) % 1.12/1.34 (define @t3993 () (or @t3992 @t3913)) % 1.12/1.34 (define @t3994 () (not @t2002)) % 1.12/1.34 (define @t3995 () (=> @t89 @t3915)) % 1.12/1.34 (define @t3996 () (forall @t64 @t3995)) % 1.12/1.34 (define @t3997 () (=> tptp.nonemptyI1 @t3981)) % 1.12/1.34 (define @t3998 () (lambda @t70 @t1716)) % 1.12/1.34 (define @t3999 () (tptp.dsetconstr @t2 @t3998)) % 1.12/1.34 (define @t4000 () (= tptp.emptyset @t3999)) % 1.12/1.34 (define @t4001 () (not @t4000)) % 1.12/1.34 (define @t4002 () (or @t1384 @t1708 @t4001)) % 1.12/1.34 (define @t4003 () (= tptp.emptyset @t156)) % 1.12/1.34 (define @t4004 () (not @t4003)) % 1.12/1.34 (define @t4005 () (or @t197 @t317 @t4004)) % 1.12/1.34 (define @t4006 () (=> @t144 @t4004)) % 1.12/1.34 (define @t4007 () (not (= @t156 tptp.emptyset))) % 1.12/1.34 (define @t4008 () (_ @t1367 @t156)) % 1.12/1.34 (define @t4009 () (=> @t144 @t4008)) % 1.12/1.34 (define @t4010 () (=> @t7 @t4009)) % 1.12/1.34 (define @t4011 () (forall @t159 @t4010)) % 1.12/1.34 (define @t4012 () (=> tptp.nonemptyI @t3997)) % 1.12/1.34 (define @t4013 () (=> @t3915 @t89)) % 1.12/1.34 (define @t4014 () (forall @t64 @t4013)) % 1.12/1.34 (define @t4015 () (=> tptp.nonemptyE1 @t4012)) % 1.12/1.34 (define @t4016 () (tptp.in @t4 @t3999)) % 1.12/1.34 (define @t4017 () (= @t1707 @t4016)) % 1.12/1.34 (define @t4018 () (or @t1384 @t4017)) % 1.12/1.34 (define @t4019 () (= @t144 @t157)) % 1.12/1.34 (define @t4020 () (or @t197 @t4019)) % 1.12/1.34 (define @t4021 () (=> tptp.setbeta @t4015)) % 1.12/1.34 (define @t4022 () (=> tptp.noeltsimpempty @t4021)) % 1.12/1.34 (define @t4023 () (=> tptp.emptyI @t4022)) % 1.12/1.34 (define @t4024 () (=> @t2031 @t3)) % 1.12/1.34 (define @t4025 () (=> tptp.setext @t4023)) % 1.12/1.34 (define @t4026 () (or @t1717 (= @t2070 @t19))) % 1.12/1.34 (define @t4027 () (forall @t70 @t4026)) % 1.12/1.34 (define @t4028 () (not @t4027)) % 1.12/1.34 (define @t4029 () (or @t2073 @t2071 @t4028)) % 1.12/1.34 (define @t4030 () (or @t2071 @t4028)) % 1.12/1.34 (define @t4031 () (or @t4030 @t2073)) % 1.12/1.34 (define @t4032 () (forall @t2074 @t4031)) % 1.12/1.34 (define @t4033 () (@list @t2070)) % 1.12/1.34 (define @t4034 () (forall @t4033 @t4031)) % 1.12/1.34 (define @t4035 () (forall @t4033 @t4030)) % 1.12/1.34 (define @t4036 () (or @t4035 @t2073)) % 1.12/1.34 (define @t4037 () (=> @t3687 @t186)) % 1.12/1.34 (define @t4038 () (forall @t150 @t4037)) % 1.12/1.34 (define @t4039 () (=> tptp.exuE3e @t4025)) % 1.12/1.34 (define @t4040 () (=> tptp.notinemptyset @t4039)) % 1.12/1.34 (define @t4041 () (=> tptp.emptysetimpfalse @t4040)) % 1.12/1.34 (define @t4042 () (or @t173 @t173)) % 1.12/1.34 (define @t4043 () (=> tptp.emptysetE @t4041)) % 1.12/1.34 (define @t4044 () (or @t2081 false)) % 1.12/1.34 (define @t4045 () (tptp.in @t4 @t3863)) % 1.12/1.34 (define @t4046 () (not @t4045)) % 1.12/1.34 (define @t4047 () (or @t173 @t4046 @t173)) % 1.12/1.34 (define @t4048 () (or @t4046 @t173)) % 1.12/1.34 (define @t4049 () (forall @t179 @t4048)) % 1.12/1.34 (define @t4050 () (forall @t9 @t4049)) % 1.12/1.34 (define @t4051 () (forall (@list @t4 @t173) @t4048)) % 1.12/1.34 (define @t4052 () (not @t175)) % 1.12/1.34 (define @t4053 () (or @t4052 @t173)) % 1.12/1.34 (define @t4054 () (=> tptp.prop2setE @t4043)) % 1.12/1.34 (define @t4055 () (=> @t3687 @t169)) % 1.12/1.34 (define @t4056 () (forall @t150 @t4055)) % 1.12/1.34 (define @t4057 () (=> tptp.exuE1 @t4054)) % 1.12/1.34 (define @t4058 () (not @t4016)) % 1.12/1.34 (define @t4059 () (or @t4058 @t1707)) % 1.12/1.34 (define @t4060 () (not @t157)) % 1.12/1.34 (define @t4061 () (or @t4060 @t144)) % 1.12/1.34 (define @t4062 () (=> tptp.dsetconstrER @t4057)) % 1.12/1.34 (define @t4063 () (or @t4058 @t1383)) % 1.12/1.34 (define @t4064 () (or @t4060 @t7)) % 1.12/1.34 (define @t4065 () (=> tptp.dsetconstrEL @t4062)) % 1.12/1.34 (define @t4066 () (or @t1384 @t1708 @t4016)) % 1.12/1.34 (define @t4067 () (or @t197 @t317 @t157)) % 1.12/1.34 (define @t4068 () (=> tptp.dsetconstrI @t4065)) % 1.12/1.34 (define @t4069 () (or @t1717 (= @t2091 @t19))) % 1.12/1.34 (define @t4070 () (forall @t70 @t4069)) % 1.12/1.34 (define @t4071 () (not @t4070)) % 1.12/1.34 (define @t4072 () (or @t2093 @t2092 @t4071)) % 1.12/1.34 (define @t4073 () (or @t2092 @t4071)) % 1.12/1.34 (define @t4074 () (or @t4073 @t2093)) % 1.12/1.34 (define @t4075 () (forall @t2094 @t4074)) % 1.12/1.34 (define @t4076 () (@list @t2091)) % 1.12/1.34 (define @t4077 () (forall @t4076 @t4074)) % 1.12/1.34 (define @t4078 () (forall @t4076 @t4073)) % 1.12/1.34 (define @t4079 () (or @t4078 @t2093)) % 1.12/1.34 (define @t4080 () (_ @t143 @t3651)) % 1.12/1.34 (define @t4081 () (or @t1953 @t4080)) % 1.12/1.34 (define @t4082 () (or @t1953 @t147)) % 1.12/1.34 (define @t4083 () (=> @t3687 @t147)) % 1.12/1.34 (define @t4084 () (forall @t150 @t4083)) % 1.12/1.34 (define @t4085 () (=> tptp.descrp @t4068)) % 1.12/1.34 (define @t4086 () (and @t2144 @t2137 @t2133 @t2121)) % 1.12/1.34 (define @t4087 () (forall @t41 (not @t4086))) % 1.12/1.34 (define @t4088 () (not @t4087)) % 1.12/1.34 (define @t4089 () (@list @t2116)) % 1.12/1.34 (define @t4090 () (forall @t4089 @t2120)) % 1.12/1.34 (define @t4091 () (forall @t4089 @t2117)) % 1.12/1.34 (define @t4092 () (or @t2119 @t4091 @t2115)) % 1.12/1.34 (define @t4093 () (forall @t9 @t2112)) % 1.12/1.34 (define @t4094 () (or @t2119 @t4093 @t2115)) % 1.12/1.34 (define @t4095 () (not @t4093)) % 1.12/1.34 (define @t4096 () (and @t2118 @t4095)) % 1.12/1.34 (define @t4097 () (not @t109)) % 1.12/1.34 (define @t4098 () (not @t110)) % 1.12/1.34 (define @t4099 () (or @t4098 @t4097 @t2110 @t2106)) % 1.12/1.34 (define @t4100 () (and @t110 @t109 @t2109 @t2105)) % 1.12/1.34 (define @t4101 () (forall @t112 (not @t4100))) % 1.12/1.34 (define @t4102 () (not @t4101)) % 1.12/1.34 (define @t4103 () (or @t2099 @t2098)) % 1.12/1.34 (define @t4104 () (or @t2102 @t4103 @t2100)) % 1.12/1.34 (define @t4105 () (forall @t2104 @t4104)) % 1.12/1.34 (define @t4106 () (@list @t2097)) % 1.12/1.34 (define @t4107 () (forall @t4106 @t4104)) % 1.12/1.34 (define @t4108 () (forall @t4106 @t4103)) % 1.12/1.34 (define @t4109 () (or @t2102 @t4108 @t2100)) % 1.12/1.34 (define @t4110 () (tptp.in @t19 @t93)) % 1.12/1.34 (define @t4111 () (forall @t70 (or (not @t4110) @t2108))) % 1.12/1.34 (define @t4112 () (not @t100)) % 1.12/1.34 (define @t4113 () (or @t4112 @t4111 @t94)) % 1.12/1.34 (define @t4114 () (or @t4111 @t94)) % 1.12/1.34 (define @t4115 () (not @t97)) % 1.12/1.34 (define @t4116 () (or @t4115 @t96)) % 1.12/1.34 (define @t4117 () (not @t105)) % 1.12/1.34 (define @t4118 () (not @t96)) % 1.12/1.34 (define @t4119 () (or @t4118 @t4117)) % 1.12/1.34 (define @t4120 () (forall @t70 (not @t106))) % 1.12/1.34 (define @t4121 () (not @t4120)) % 1.12/1.34 (define @t4122 () (forall @t9 @t4097)) % 1.12/1.34 (define @t4123 () (not @t4122)) % 1.12/1.34 (define @t4124 () (or @t4097 @t7)) % 1.12/1.34 (define @t4125 () (or @t2125 @t2124)) % 1.12/1.34 (define @t4126 () (or @t2128 @t2127)) % 1.12/1.34 (define @t4127 () (or @t2130 @t2114 @t4126 @t4125)) % 1.12/1.34 (define @t4128 () (forall @t2132 @t4127)) % 1.12/1.34 (define @t4129 () (forall (@list @t2126 @t2123) @t4127)) % 1.12/1.34 (define @t4130 () (forall (@list @t2123) @t4125)) % 1.12/1.34 (define @t4131 () (forall (@list @t2126) @t4126)) % 1.12/1.34 (define @t4132 () (or @t2130 @t2114 @t4131 @t4130)) % 1.12/1.34 (define @t4133 () (tptp.in @t4 @t95)) % 1.12/1.34 (define @t4134 () (forall @t9 (or (not @t4133) @t2111))) % 1.12/1.34 (define @t4135 () (forall @t9 (or @t2112 @t4133))) % 1.12/1.34 (define @t4136 () (not @t124)) % 1.12/1.34 (define @t4137 () (or @t4136 @t4098 @t4135 @t4134)) % 1.12/1.34 (define @t4138 () (or @t4135 @t4134)) % 1.12/1.34 (define @t4139 () (not @t120)) % 1.12/1.34 (define @t4140 () (or @t4139 @t109)) % 1.12/1.34 (define @t4141 () (or @t4097 @t120)) % 1.12/1.34 (define @t4142 () (or @t197 @t2420 @t2136 @t129)) % 1.12/1.34 (define @t4143 () (=> @t2135 @t129)) % 1.12/1.34 (define @t4144 () (or @t4136 @t130)) % 1.12/1.34 (define @t4145 () (or @t2141 @t2140)) % 1.12/1.34 (define @t4146 () (or @t2130 @t4145)) % 1.12/1.34 (define @t4147 () (forall @t2143 @t4146)) % 1.12/1.34 (define @t4148 () (@list @t2139)) % 1.12/1.34 (define @t4149 () (forall @t4148 @t4146)) % 1.12/1.34 (define @t4150 () (forall @t4148 @t4145)) % 1.12/1.34 (define @t4151 () (or @t2130 @t4150)) % 1.12/1.34 (define @t4152 () (or @t4136 @t2118)) % 1.12/1.34 (define @t4153 () (=> tptp.wellorderingAx @t4085)) % 1.12/1.34 (define @t4154 () (@list @t2152)) % 1.12/1.34 (define @t4155 () (forall @t4154 @t2154)) % 1.12/1.34 (define @t4156 () (forall @t4154 @t2153)) % 1.12/1.34 (define @t4157 () (or @t4156 @t2151)) % 1.12/1.34 (define @t4158 () (or @t3942 @t2150)) % 1.12/1.34 (define @t4159 () (and @t39 @t2149)) % 1.12/1.34 (define @t4160 () (forall @t41 (not @t4159))) % 1.12/1.34 (define @t4161 () (not @t4160)) % 1.12/1.34 (define @t4162 () (or @t437 @t197)) % 1.12/1.34 (define @t4163 () (forall @t9 (not @t84))) % 1.12/1.34 (define @t4164 () (not @t4163)) % 1.12/1.34 (define @t4165 () (=> tptp.foundationAx @t4153)) % 1.12/1.34 (define @t4166 () (= @t6 @t2158)) % 1.12/1.34 (define @t4167 () (not @t68)) % 1.12/1.34 (define @t4168 () (or @t2420 @t4167)) % 1.12/1.34 (define @t4169 () (forall @t70 (not @t69))) % 1.12/1.34 (define @t4170 () (not @t4169)) % 1.12/1.34 (define @t4171 () (or @t197 @t2167)) % 1.12/1.34 (define @t4172 () (_ @t75 @t2161)) % 1.12/1.34 (define @t4173 () (not @t4172)) % 1.12/1.34 (define @t4174 () (or @t4173 @t2164)) % 1.12/1.34 (define @t4175 () (or @t3143 @t2162)) % 1.12/1.34 (define @t4176 () (_ @t77 @t19)) % 1.12/1.34 (define @t4177 () (not @t4176)) % 1.12/1.34 (define @t4178 () (or @t4177 @t2162)) % 1.12/1.34 (define @t4179 () (forall @t70 @t4178)) % 1.12/1.34 (define @t4180 () (not @t4179)) % 1.12/1.34 (define @t4181 () (_ @t77 @t2161)) % 1.12/1.34 (define @t4182 () (not @t4181)) % 1.12/1.34 (define @t4183 () (or @t4182 @t4180)) % 1.12/1.34 (define @t4184 () (forall @t2166 @t4183)) % 1.12/1.34 (define @t4185 () (not @t4184)) % 1.12/1.34 (define @t4186 () (not (_ @t143 @t2161))) % 1.12/1.34 (define @t4187 () (or @t1717 (= @t2161 @t19))) % 1.12/1.34 (define @t4188 () (forall @t70 @t4187)) % 1.12/1.34 (define @t4189 () (not @t4188)) % 1.12/1.34 (define @t4190 () (or @t4186 @t4189)) % 1.12/1.34 (define @t4191 () (forall @t2166 @t4190)) % 1.12/1.34 (define @t4192 () (not @t4191)) % 1.12/1.34 (define @t4193 () (=> @t7 (_ @t3673 @t77))) % 1.12/1.34 (define @t4194 () (forall @t9 @t4193)) % 1.12/1.34 (define @t4195 () (=> @t4194 @t74)) % 1.12/1.34 (define @t4196 () (forall @t81 @t4195)) % 1.12/1.34 (define @t4197 () (=> tptp.replAx @t4165)) % 1.12/1.34 (define @t4198 () (or @t2173 @t2172)) % 1.12/1.34 (define @t4199 () (or @t2181 @t2179 @t4198)) % 1.12/1.34 (define @t4200 () (forall @t2183 @t4199)) % 1.12/1.34 (define @t4201 () (@list @t2171)) % 1.12/1.34 (define @t4202 () (forall @t4201 @t4199)) % 1.12/1.34 (define @t4203 () (forall @t4201 @t4198)) % 1.12/1.34 (define @t4204 () (or @t2181 @t2179 @t4203)) % 1.12/1.34 (define @t4205 () (forall @t9 (or @t2177 @t1383))) % 1.12/1.34 (define @t4206 () (not @t61)) % 1.12/1.34 (define @t4207 () (or @t4206 @t2179 @t4205)) % 1.12/1.34 (define @t4208 () (and @t61 @t2178)) % 1.12/1.34 (define @t4209 () (not @t54)) % 1.12/1.34 (define @t4210 () (or @t4209 @t7)) % 1.12/1.34 (define @t4211 () (_ tptp.in @t2174)) % 1.12/1.34 (define @t4212 () (or @t4209 @t197 @t58)) % 1.12/1.34 (define @t4213 () (=> tptp.omegaIndAx @t4197)) % 1.12/1.34 (define @t4214 () (or @t4209 @t53)) % 1.12/1.34 (define @t4215 () (=> tptp.omegaSAx @t4213)) % 1.12/1.34 (define @t4216 () (=> tptp.omega0Ax @t4215)) % 1.12/1.34 (define @t4217 () (= @t44 @t2020)) % 1.12/1.34 (define @t4218 () (forall @t41 (not @t40))) % 1.12/1.34 (define @t4219 () (not @t4218)) % 1.12/1.34 (define @t4220 () (=> tptp.setunionAx @t4216)) % 1.12/1.34 (define @t4221 () (= @t35 @t2031)) % 1.12/1.34 (define @t4222 () (=> tptp.powersetAx @t4220)) % 1.12/1.34 (define @t4223 () (= @t26 @t3963)) % 1.12/1.34 (define @t4224 () (=> tptp.setadjoinAx @t4222)) % 1.12/1.34 (define @t4225 () (=> tptp.emptysetAx @t4224)) % 1.12/1.34 (define @t4226 () (=> tptp.setextAx @t4225)) % 1.12/1.34 (define @t4227 () (or @t1374 @t1373)) % 1.12/1.34 (define @t4228 () (or @t1376 @t4227)) % 1.12/1.34 (define @t4229 () (forall @t1378 @t4228)) % 1.12/1.34 (define @t4230 () (@list @t1372)) % 1.12/1.34 (define @t4231 () (forall @t4230 @t4228)) % 1.12/1.34 (define @t4232 () (forall @t4230 @t4227)) % 1.12/1.34 (define @t4233 () (or @t1376 @t4232)) % 1.12/1.34 (define @t4234 () (tptp.binintersect @t694 @t1128)) % 1.12/1.34 (define @t4235 () (tptp.in @t4234 @t1371)) % 1.12/1.34 (define @t4236 () (tptp.in @t1128 @t1371)) % 1.12/1.34 (define @t4237 () (forall @t1133 (or (not @t4236) @t4235))) % 1.12/1.34 (define @t4238 () (not @t1135)) % 1.12/1.34 (define @t4239 () (or @t4238 @t4237)) % 1.12/1.34 (define @t4240 () (not @t1132)) % 1.12/1.34 (define @t4241 () (or @t4240 @t1130)) % 1.12/1.34 (define @t4242 () (@quantifiers_skolemize @t1379 2)) % 1.12/1.34 (define @t4243 () (@quantifiers_skolemize @t1379 1)) % 1.12/1.34 (define @t4244 () (@quantifiers_skolemize @t1379 0)) % 1.12/1.34 (define @t4245 () (tptp.powerset @t4244)) % 1.12/1.34 (define @t4246 () (tptp.in @t4243 @t4245)) % 1.12/1.34 (define @t4247 () (tptp.binintersect @t4243 @t4242)) % 1.12/1.34 (define @t4248 () (tptp.in @t4247 @t4245)) % 1.12/1.34 (define @t4249 () (not @t4246)) % 1.12/1.34 (define @t4250 () (or @t4249 (not (tptp.in @t4242 @t4245)) @t4248)) % 1.12/1.34 (define @t4251 () (@list true)) % 1.12/1.34 (define @t4252 () (@list @t4250)) % 1.12/1.34 (define @t4253 () (tptp.subset @t4243 @t4244)) % 1.12/1.34 (define @t4254 () (or @t4249 @t4253)) % 1.12/1.34 (define @t4255 () (tptp.subset @t4247 @t4244)) % 1.12/1.34 (define @t4256 () (not @t4255)) % 1.12/1.34 (define @t4257 () (or @t4256 @t4248)) % 1.12/1.34 (define @t4258 () (@list true false)) % 1.12/1.34 (define @t4259 () (not @t4253)) % 1.12/1.34 (define @t4260 () (tptp.subset @t4247 @t4243)) % 1.12/1.34 (define @t4261 () (not @t4260)) % 1.12/1.34 (define @t4262 () (or @t4261 @t4259 @t4255)) % 1.12/1.34 (define @t4263 () (not @t4262)) % 1.12/1.34 (assume @p1 @t14) % 1.12/1.34 (assume @p2 @t18) % 1.12/1.34 (assume @p3 @t30) % 1.12/1.34 (assume @p4 @t38) % 1.12/1.34 (assume @p5 @t48) % 1.12/1.34 (assume @p6 (= tptp.omega0Ax @t50)) % 1.12/1.34 (assume @p7 @t56) % 1.12/1.34 (assume @p8 @t66) % 1.12/1.34 (assume @p9 @t83) % 1.12/1.34 (assume @p10 @t92) % 1.12/1.34 (assume @p11 @t142) % 1.12/1.34 (assume @p12 @t152) % 1.12/1.34 (assume @p13 @t161) % 1.12/1.34 (assume @p14 @t163) % 1.12/1.34 (assume @p15 @t165) % 1.12/1.34 (assume @p16 @t172) % 1.12/1.34 (assume @p17 @t178) % 1.12/1.34 (assume @p18 @t183) % 1.12/1.34 (assume @p19 @t185) % 1.12/1.34 (assume @p20 (= tptp.notinemptyset @t17)) % 1.12/1.34 (assume @p21 @t189) % 1.12/1.34 (assume @p22 @t195) % 1.12/1.34 (assume @p23 @t201) % 1.12/1.34 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.12/1.34 (assume @p25 @t204) % 1.12/1.34 (assume @p26 @t208) % 1.12/1.34 (assume @p27 @t212) % 1.12/1.34 (assume @p28 @t215) % 1.12/1.34 (assume @p29 @t219) % 1.12/1.34 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.12/1.34 (assume @p31 @t223) % 1.12/1.34 (assume @p32 @t231) % 1.12/1.34 (assume @p33 @t234) % 1.12/1.34 (assume @p34 @t238) % 1.12/1.34 (assume @p35 @t241) % 1.12/1.34 (assume @p36 @t244) % 1.12/1.34 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.12/1.34 (assume @p38 @t247) % 1.12/1.34 (assume @p39 @t251) % 1.12/1.34 (assume @p40 @t258) % 1.12/1.34 (assume @p41 @t262) % 1.12/1.34 (assume @p42 @t268) % 1.12/1.34 (assume @p43 @t273) % 1.12/1.34 (assume @p44 @t278) % 1.12/1.34 (assume @p45 @t284) % 1.12/1.34 (assume @p46 @t286) % 1.12/1.34 (assume @p47 @t288) % 1.12/1.34 (assume @p48 @t299) % 1.12/1.34 (assume @p49 @t302) % 1.12/1.34 (assume @p50 @t305) % 1.12/1.34 (assume @p51 @t313) % 1.12/1.34 (assume @p52 @t316) % 1.12/1.34 (assume @p53 @t324) % 1.12/1.34 (assume @p54 @t329) % 1.12/1.34 (assume @p55 @t332) % 1.12/1.34 (assume @p56 @t335) % 1.12/1.34 (assume @p57 @t338) % 1.12/1.34 (assume @p58 @t341) % 1.12/1.34 (assume @p59 (= tptp.notdexE @t331)) % 1.12/1.34 (assume @p60 (= tptp.notdallE @t323)) % 1.12/1.34 (assume @p61 @t344) % 1.12/1.34 (assume @p62 @t350) % 1.12/1.34 (assume @p63 @t353) % 1.12/1.34 (assume @p64 @t359) % 1.12/1.34 (assume @p65 @t364) % 1.12/1.34 (assume @p66 @t367) % 1.12/1.34 (assume @p67 @t380) % 1.12/1.34 (assume @p68 @t382) % 1.12/1.34 (assume @p69 @t392) % 1.12/1.34 (assume @p70 @t396) % 1.12/1.34 (assume @p71 @t400) % 1.12/1.34 (assume @p72 @t401) % 1.12/1.34 (assume @p73 @t402) % 1.12/1.34 (assume @p74 @t409) % 1.12/1.34 (assume @p75 @t420) % 1.12/1.34 (assume @p76 @t425) % 1.12/1.34 (assume @p77 @t429) % 1.12/1.34 (assume @p78 @t431) % 1.12/1.34 (assume @p79 (= tptp.subsetI2 @t424)) % 1.12/1.34 (assume @p80 @t434) % 1.12/1.34 (assume @p81 @t436) % 1.12/1.34 (assume @p82 @t440) % 1.12/1.34 (assume @p83 @t444) % 1.12/1.34 (assume @p84 @t447) % 1.12/1.34 (assume @p85 @t450) % 1.12/1.34 (assume @p86 @t453) % 1.12/1.34 (assume @p87 @t459) % 1.12/1.34 (assume @p88 @t463) % 1.12/1.34 (assume @p89 @t467) % 1.12/1.34 (assume @p90 @t471) % 1.12/1.34 (assume @p91 @t474) % 1.12/1.34 (assume @p92 @t477) % 1.12/1.34 (assume @p93 @t479) % 1.12/1.34 (assume @p94 @t481) % 1.12/1.34 (assume @p95 @t484) % 1.12/1.34 (assume @p96 @t487) % 1.12/1.34 (assume @p97 @t490) % 1.12/1.34 (assume @p98 @t493) % 1.12/1.34 (assume @p99 @t497) % 1.12/1.34 (assume @p100 (= tptp.upairset2IR @t304)) % 1.12/1.34 (assume @p101 @t499) % 1.12/1.34 (assume @p102 @t506) % 1.12/1.34 (assume @p103 @t509) % 1.12/1.34 (assume @p104 @t512) % 1.12/1.34 (assume @p105 @t515) % 1.12/1.34 (assume @p106 @t521) % 1.12/1.34 (assume @p107 @t528) % 1.12/1.34 (assume @p108 @t530) % 1.12/1.34 (assume @p109 @t534) % 1.12/1.34 (assume @p110 @t538) % 1.12/1.34 (assume @p111 @t542) % 1.12/1.34 (assume @p112 @t544) % 1.12/1.34 (assume @p113 @t550) % 1.12/1.34 (assume @p114 @t553) % 1.12/1.34 (assume @p115 @t556) % 1.12/1.34 (assume @p116 @t559) % 1.12/1.34 (assume @p117 @t566) % 1.12/1.34 (assume @p118 @t571) % 1.12/1.34 (assume @p119 @t573) % 1.12/1.34 (assume @p120 @t575) % 1.12/1.34 (assume @p121 @t579) % 1.12/1.34 (assume @p122 @t582) % 1.12/1.34 (assume @p123 @t584) % 1.12/1.34 (assume @p124 @t586) % 1.12/1.34 (assume @p125 @t588) % 1.12/1.34 (assume @p126 @t591) % 1.12/1.34 (assume @p127 @t594) % 1.12/1.34 (assume @p128 @t604) % 1.12/1.34 (assume @p129 @t607) % 1.12/1.34 (assume @p130 @t610) % 1.12/1.34 (assume @p131 @t614) % 1.12/1.34 (assume @p132 @t617) % 1.12/1.34 (assume @p133 (= tptp.secondinupair @t304)) % 1.12/1.34 (assume @p134 @t624) % 1.12/1.34 (assume @p135 @t627) % 1.12/1.34 (assume @p136 @t630) % 1.12/1.34 (assume @p137 @t635) % 1.12/1.34 (assume @p138 @t638) % 1.12/1.34 (assume @p139 @t642) % 1.12/1.34 (assume @p140 @t646) % 1.12/1.34 (assume @p141 (= tptp.upairset2E @t298)) % 1.12/1.34 (assume @p142 @t651) % 1.12/1.34 (assume @p143 @t656) % 1.12/1.34 (assume @p144 @t661) % 1.12/1.34 (assume @p145 @t667) % 1.12/1.34 (assume @p146 @t673) % 1.12/1.34 (assume @p147 @t679) % 1.12/1.34 (assume @p148 @t690) % 1.12/1.34 (assume @p149 @t693) % 1.12/1.34 (assume @p150 @t703) % 1.12/1.34 (assume @p151 @t708) % 1.12/1.34 (assume @p152 @t711) % 1.12/1.34 (assume @p153 @t714) % 1.12/1.34 (assume @p154 @t722) % 1.12/1.34 (assume @p155 @t727) % 1.12/1.34 (assume @p156 @t735) % 1.12/1.34 (assume @p157 @t739) % 1.12/1.34 (assume @p158 @t742) % 1.12/1.34 (assume @p159 @t748) % 1.12/1.34 (assume @p160 @t757) % 1.12/1.34 (assume @p161 @t762) % 1.12/1.34 (assume @p162 @t766) % 1.12/1.34 (assume @p163 @t770) % 1.12/1.34 (assume @p164 @t778) % 1.12/1.34 (assume @p165 @t782) % 1.12/1.34 (assume @p166 @t785) % 1.12/1.34 (assume @p167 @t789) % 1.12/1.34 (assume @p168 @t793) % 1.12/1.34 (assume @p169 @t796) % 1.12/1.34 (assume @p170 @t798) % 1.12/1.34 (assume @p171 @t800) % 1.12/1.34 (assume @p172 @t808) % 1.12/1.34 (assume @p173 @t812) % 1.12/1.34 (assume @p174 @t818) % 1.12/1.34 (assume @p175 @t821) % 1.12/1.34 (assume @p176 @t824) % 1.12/1.34 (assume @p177 @t826) % 1.12/1.34 (assume @p178 @t831) % 1.12/1.34 (assume @p179 @t836) % 1.12/1.34 (assume @p180 @t841) % 1.12/1.34 (assume @p181 @t844) % 1.12/1.34 (assume @p182 @t855) % 1.12/1.34 (assume @p183 @t861) % 1.12/1.34 (assume @p184 @t864) % 1.12/1.34 (assume @p185 @t869) % 1.12/1.34 (assume @p186 @t872) % 1.12/1.34 (assume @p187 @t874) % 1.12/1.34 (assume @p188 @t876) % 1.12/1.34 (assume @p189 @t888) % 1.12/1.34 (assume @p190 @t894) % 1.12/1.34 (assume @p191 @t901) % 1.12/1.34 (assume @p192 @t906) % 1.12/1.34 (assume @p193 @t909) % 1.12/1.34 (assume @p194 @t911) % 1.12/1.34 (assume @p195 @t920) % 1.12/1.34 (assume @p196 @t927) % 1.12/1.34 (assume @p197 @t931) % 1.12/1.34 (assume @p198 @t947) % 1.12/1.34 (assume @p199 @t948) % 1.12/1.34 (assume @p200 @t951) % 1.12/1.34 (assume @p201 @t957) % 1.12/1.34 (assume @p202 @t960) % 1.12/1.34 (assume @p203 @t968) % 1.12/1.34 (assume @p204 @t985) % 1.12/1.34 (assume @p205 @t988) % 1.12/1.34 (assume @p206 @t1004) % 1.12/1.34 (assume @p207 @t1016) % 1.12/1.34 (assume @p208 @t1023) % 1.12/1.34 (assume @p209 @t1030) % 1.12/1.34 (assume @p210 @t1035) % 1.12/1.34 (assume @p211 @t1038) % 1.12/1.34 (assume @p212 @t1047) % 1.12/1.34 (assume @p213 @t1053) % 1.12/1.34 (assume @p214 @t1056) % 1.12/1.34 (assume @p215 (= tptp.beta2 @t1046)) % 1.12/1.34 (assume @p216 @t1059) % 1.12/1.34 (assume @p217 @t1073) % 1.12/1.34 (assume @p218 @t1080) % 1.12/1.34 (assume @p219 @t1086) % 1.12/1.34 (assume @p220 @t1093) % 1.12/1.34 (assume @p221 @t1098) % 1.12/1.34 (assume @p222 @t1105) % 1.12/1.34 (assume @p223 @t1110) % 1.12/1.34 (assume @p224 @t1116) % 1.12/1.34 (assume @p225 @t1122) % 1.12/1.34 (assume @p226 @t1127) % 1.12/1.34 (assume @p227 @t1365) % 1.12/1.34 (assume @p228 true) % 1.12/1.34 (step @p229 (= tptp.exu @t1366) :rule refl :args (@t1366)) % 1.12/1.34 (step @p230 (= tptp.nonempty @t1367) :rule refl :args (@t1367)) % 1.12/1.34 (step @p231 (= tptp.ex1 @t1368) :rule refl :args (@t1368)) % 1.12/1.34 (step @p232 (= tptp.breln @t1370) :rule refl :args (@t1370)) % 1.12/1.34 (step @p233 :rule refl :args (@t1966)) % 1.12/1.34 (step @p234 :rule skolem_intro :args ((@purify true))) % 1.12/1.34 (step @p235 :rule symm :premises (@p234)) % 1.12/1.34 (step @p236 :rule cong :premises (@p235) :args (@t1967)) % 1.12/1.34 (step @p237 :rule cong :premises (@p236) :args (@t1968)) % 1.12/1.34 (step @p238 :rule cong :premises (@p237 @p233) :args (@t1969)) % 1.12/1.34 (step @p239 :rule refl :args (tptp.emptyset)) % 1.12/1.34 (step @p240 :rule cong :premises (@p239 @p236) :args (@t1970)) % 1.12/1.34 (step @p241 :rule cong :premises (@p240 @p238) :args (@t1971)) % 1.12/1.34 (step @p242 :rule refl :args (@t1974)) % 1.12/1.34 (step @p243 :rule cong :premises (@p242 @p241) :args (@t1975)) % 1.12/1.34 (step @p244 :rule refl :args (@t1982)) % 1.12/1.34 (step @p245 :rule cong :premises (@p244 @p243) :args (@t1983)) % 1.12/1.34 (step @p246 :rule refl :args (@t1808)) % 1.12/1.34 (step @p247 :rule cong :premises (@p246 @p245) :args (@t1984)) % 1.12/1.34 (step @p248 :rule refl :args (@t1986)) % 1.12/1.34 (step @p249 :rule cong :premises (@p248 @p247) :args (@t1987)) % 1.12/1.34 (step @p250 :rule refl :args (@t1791)) % 1.12/1.34 (step @p251 :rule cong :premises (@p250 @p249) :args (@t1988)) % 1.12/1.34 (step @p252 :rule refl :args (@t1992)) % 1.12/1.34 (step @p253 :rule cong :premises (@p252 @p251) :args (@t1993)) % 1.12/1.34 (step @p254 :rule refl :args (@t1995)) % 1.12/1.34 (step @p255 :rule cong :premises (@p254 @p253) :args (@t1996)) % 1.12/1.34 (step @p256 :rule refl :args (@t1997)) % 1.12/1.34 (step @p257 :rule cong :premises (@p256 @p255) :args (@t1998)) % 1.12/1.34 (step @p258 :rule refl :args (@t1999)) % 1.12/1.34 (step @p259 :rule cong :premises (@p258 @p257) :args (@t2000)) % 1.12/1.34 (step @p260 :rule refl :args (@t2003)) % 1.12/1.34 (step @p261 :rule cong :premises (@p260 @p259) :args (@t2004)) % 1.12/1.34 (step @p262 :rule refl :args (@t2011)) % 1.12/1.34 (step @p263 :rule cong :premises (@p262 @p261) :args (@t2012)) % 1.12/1.34 (step @p264 :rule refl :args (@t2015)) % 1.12/1.34 (step @p265 :rule cong :premises (@p264 @p263) :args (@t2016)) % 1.12/1.34 (step @p266 :rule refl :args (@t2021)) % 1.12/1.34 (step @p267 :rule cong :premises (@p266 @p265) :args (@t2022)) % 1.12/1.34 (step @p268 :rule refl :args (@t2023)) % 1.12/1.34 (step @p269 :rule cong :premises (@p268 @p267) :args (@t2024)) % 1.12/1.34 (step @p270 :rule refl :args (@t2025)) % 1.12/1.34 (step @p271 :rule cong :premises (@p270 @p269) :args (@t2026)) % 1.12/1.34 (step @p272 :rule refl :args (@t2028)) % 1.12/1.34 (step @p273 :rule cong :premises (@p272 @p271) :args (@t2029)) % 1.12/1.34 (step @p274 :rule cong :premises (@p272 @p273) :args (@t2030)) % 1.12/1.34 (step @p275 :rule refl :args (@t2033)) % 1.12/1.34 (step @p276 :rule cong :premises (@p275 @p274) :args (@t2034)) % 1.12/1.34 (step @p277 :rule refl :args (@t2038)) % 1.12/1.34 (step @p278 :rule cong :premises (@p277 @p276) :args (@t2039)) % 1.12/1.34 (step @p279 :rule refl :args (@t2041)) % 1.12/1.34 (step @p280 :rule cong :premises (@p279 @p278) :args (@t2042)) % 1.12/1.34 (step @p281 :rule cong :premises (@p279 @p280) :args (@t2043)) % 1.12/1.34 (step @p282 :rule refl :args (@t2044)) % 1.12/1.34 (step @p283 :rule cong :premises (@p282 @p281) :args (@t2045)) % 1.12/1.34 (step @p284 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.12/1.34 (step @p285 :rule refl :args (@t2046)) % 1.12/1.34 (step @p286 :rule refl :args (tptp.emptyset)) % 1.12/1.34 (step @p287 :rule cong :premises (@p286 @p285) :args (@t2047)) % 1.12/1.34 (step @p288 :rule trans :premises (@p287 @p284)) % 1.12/1.34 (step @p289 :rule refl :args (@t49)) % 1.12/1.34 (step @p290 :rule ho_cong :premises (@p289 @p285)) % 1.12/1.34 (step @p291 :rule cong :premises (@p290 @p288) :args ((= (_ @t49 @t2046) @t2047))) % 1.12/1.34 (step @p292 :rule symm :premises (@p291)) % 1.12/1.34 (step @p293 :rule refl :args (@t221)) % 1.12/1.34 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 1.12/1.34 (step @p295 :rule refl :args (@t220)) % 1.12/1.34 (step @p296 :rule cong :premises (@p295 @p285) :args ((= @t220 @t2046))) % 1.12/1.34 (step @p297 :rule symm :premises (@p296)) % 1.12/1.34 (step @p298 :rule eq_resolve :premises (@p295 @p297)) % 1.12/1.34 (step @p299 :rule refl :args (@t49)) % 1.12/1.34 (step @p300 :rule ho_cong :premises (@p299 @p298)) % 1.12/1.34 (step @p301 :rule trans :premises (@p300 @p294)) % 1.12/1.34 (step @p302 :rule cong :premises (@p301 @p283) :args (@t2048)) % 1.12/1.34 (step @p303 :rule refl :args (@t2051)) % 1.12/1.34 (step @p304 :rule cong :premises (@p303 @p302) :args (@t2052)) % 1.12/1.34 (step @p305 :rule refl :args (@t2056)) % 1.12/1.34 (step @p306 :rule cong :premises (@p305 @p304) :args (@t2057)) % 1.12/1.34 (step @p307 :rule refl :args (@t2058)) % 1.12/1.34 (step @p308 :rule cong :premises (@p307 @p306) :args (@t2059)) % 1.12/1.34 (step @p309 :rule cong :premises (@p260 @p308) :args (@t2060)) % 1.12/1.34 (step @p310 :rule refl :args (@t2062)) % 1.12/1.34 (step @p311 :rule cong :premises (@p310 @p309) :args (@t2063)) % 1.12/1.34 (step @p312 :rule refl :args (@t2064)) % 1.12/1.34 (step @p313 :rule cong :premises (@p312 @p311) :args (@t2065)) % 1.12/1.34 (step @p314 :rule cong :premises (@p312 @p313) :args (@t2066)) % 1.12/1.34 (step @p315 :rule refl :args (@t2068)) % 1.12/1.34 (step @p316 :rule cong :premises (@p315 @p314) :args (@t2069)) % 1.12/1.34 (step @p317 :rule refl :args (@t2075)) % 1.12/1.34 (step @p318 :rule cong :premises (@p317 @p316) :args (@t2076)) % 1.12/1.34 (step @p319 :rule refl :args (@t2077)) % 1.12/1.34 (step @p320 :rule cong :premises (@p319 @p318) :args (@t2078)) % 1.12/1.34 (step @p321 :rule cong :premises (@p319 @p320) :args (@t2079)) % 1.12/1.34 (step @p322 :rule cong :premises (@p319 @p321) :args (@t2080)) % 1.12/1.34 (step @p323 :rule refl :args (@t2082)) % 1.12/1.34 (step @p324 :rule cong :premises (@p323 @p322) :args (@t2083)) % 1.12/1.34 (step @p325 :rule refl :args (@t2085)) % 1.12/1.34 (step @p326 :rule cong :premises (@p325 @p324) :args (@t2086)) % 1.12/1.34 (step @p327 :rule refl :args (@t2087)) % 1.12/1.34 (step @p328 :rule cong :premises (@p327 @p326) :args (@t2088)) % 1.12/1.34 (step @p329 :rule refl :args (@t2089)) % 1.12/1.34 (step @p330 :rule cong :premises (@p329 @p328) :args (@t2090)) % 1.12/1.34 (step @p331 :rule refl :args (@t2095)) % 1.12/1.34 (step @p332 :rule cong :premises (@p331 @p330) :args (@t2096)) % 1.12/1.34 (step @p333 :rule refl :args (@t2147)) % 1.12/1.34 (step @p334 :rule cong :premises (@p333 @p332) :args (@t2148)) % 1.12/1.34 (step @p335 :rule refl :args (@t2155)) % 1.12/1.34 (step @p336 :rule cong :premises (@p335 @p334) :args (@t2156)) % 1.12/1.34 (step @p337 :rule refl :args (@t2169)) % 1.12/1.34 (step @p338 :rule cong :premises (@p337 @p336) :args (@t2170)) % 1.12/1.34 (step @p339 :rule refl :args (@t2184)) % 1.12/1.34 (step @p340 :rule cong :premises (@p339 @p338) :args (@t2185)) % 1.12/1.34 (step @p341 :rule refl :args (@t2187)) % 1.12/1.34 (step @p342 :rule cong :premises (@p341 @p340) :args (@t2188)) % 1.12/1.34 (step @p343 :rule refl :args (@t2189)) % 1.12/1.34 (step @p344 :rule refl :args (@t50)) % 1.12/1.34 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t50 @t2189))) % 1.12/1.34 (step @p346 :rule symm :premises (@p345)) % 1.12/1.34 (step @p347 :rule eq_resolve :premises (@p344 @p346)) % 1.12/1.34 (step @p348 :rule cong :premises (@p347 @p342) :args (@t2190)) % 1.12/1.34 (step @p349 :rule refl :args (@t2191)) % 1.12/1.34 (step @p350 :rule cong :premises (@p349 @p348) :args (@t2192)) % 1.12/1.34 (step @p351 :rule refl :args (@t2193)) % 1.12/1.34 (step @p352 :rule cong :premises (@p351 @p350) :args (@t2194)) % 1.12/1.34 (step @p353 :rule refl :args (@t2196)) % 1.12/1.34 (step @p354 :rule cong :premises (@p353 @p352) :args (@t2197)) % 1.12/1.34 (step @p355 :rule cong :premises (@p319 @p354) :args (@t2198)) % 1.12/1.34 (step @p356 :rule refl :args (@t2200)) % 1.12/1.34 (step @p357 :rule cong :premises (@p356 @p355) :args (@t2201)) % 1.12/1.34 (step @p358 :rule cong :premises (@p357) :args ((not @t2201))) % 1.12/1.34 (step @p359 :rule bool-impl-true2 :args (@t1451)) % 1.12/1.34 (step @p360 :rule refl :args (@t1454)) % 1.12/1.34 (step @p361 :rule cong :premises (@p360 @p359) :args (@t2202)) % 1.12/1.34 (step @p362 :rule refl :args (@t1450)) % 1.12/1.34 (step @p363 :rule cong :premises (@p362 @p361) :args (@t2203)) % 1.12/1.34 (step @p364 :rule bool-impl-true2 :args (@t2203)) % 1.12/1.34 (step @p365 :rule trans :premises (@p364 @p363)) % 1.12/1.34 (step @p366 :rule bool-impl-true2 :args (@t2203)) % 1.12/1.34 (step @p367 :rule refl :args (true)) % 1.12/1.34 (step @p368 :rule cong :premises (@p367 @p366) :args (@t2204)) % 1.12/1.34 (step @p369 :rule trans :premises (@p368 @p365)) % 1.12/1.34 (step @p370 :rule refl :args (@t1461)) % 1.12/1.34 (step @p371 :rule cong :premises (@p370 @p369) :args (@t2205)) % 1.12/1.34 (step @p372 :rule refl :args (@t1468)) % 1.12/1.34 (step @p373 :rule cong :premises (@p372 @p371) :args (@t2206)) % 1.12/1.34 (step @p374 :rule refl :args (@t1489)) % 1.12/1.34 (step @p375 :rule cong :premises (@p374 @p373) :args (@t2207)) % 1.12/1.34 (step @p376 :rule refl :args (@t1496)) % 1.12/1.34 (step @p377 :rule cong :premises (@p376 @p375) :args (@t2208)) % 1.12/1.34 (step @p378 :rule refl :args (@t1504)) % 1.12/1.34 (step @p379 :rule cong :premises (@p378 @p377) :args (@t2209)) % 1.12/1.34 (step @p380 :rule refl :args (@t1517)) % 1.12/1.34 (step @p381 :rule cong :premises (@p380 @p379) :args (@t2210)) % 1.12/1.34 (step @p382 :rule refl :args (@t1525)) % 1.12/1.34 (step @p383 :rule cong :premises (@p382 @p381) :args (@t2211)) % 1.12/1.34 (step @p384 :rule refl :args (@t1531)) % 1.12/1.34 (step @p385 :rule cong :premises (@p384 @p383) :args (@t2212)) % 1.12/1.34 (step @p386 :rule refl :args (@t1537)) % 1.12/1.34 (step @p387 :rule cong :premises (@p386 @p385) :args (@t2213)) % 1.12/1.34 (step @p388 :rule refl :args (@t1550)) % 1.12/1.34 (step @p389 :rule cong :premises (@p388 @p387) :args (@t2214)) % 1.12/1.34 (step @p390 :rule refl :args (@t1563)) % 1.12/1.34 (step @p391 :rule cong :premises (@p390 @p389) :args (@t2215)) % 1.12/1.34 (step @p392 :rule cong :premises (@p390 @p391) :args (@t2216)) % 1.12/1.34 (step @p393 :rule refl :args (@t1564)) % 1.12/1.34 (step @p394 :rule cong :premises (@p393 @p392) :args (@t2217)) % 1.12/1.34 (step @p395 :rule refl :args (@t1565)) % 1.12/1.34 (step @p396 :rule cong :premises (@p395 @p394) :args (@t2218)) % 1.12/1.34 (step @p397 :rule refl :args (@t1570)) % 1.12/1.34 (step @p398 :rule cong :premises (@p397 @p396) :args (@t2219)) % 1.12/1.34 (step @p399 :rule refl :args (@t1571)) % 1.12/1.34 (step @p400 :rule cong :premises (@p399 @p398) :args (@t2220)) % 1.12/1.34 (step @p401 :rule refl :args (@t1577)) % 1.12/1.34 (step @p402 :rule cong :premises (@p401 @p400) :args (@t2221)) % 1.12/1.34 (step @p403 :rule refl :args (@t1578)) % 1.12/1.34 (step @p404 :rule cong :premises (@p403 @p402) :args (@t2222)) % 1.12/1.34 (step @p405 :rule refl :args (@t1584)) % 1.12/1.34 (step @p406 :rule cong :premises (@p405 @p404) :args (@t2223)) % 1.12/1.34 (step @p407 :rule refl :args (@t1590)) % 1.12/1.34 (step @p408 :rule cong :premises (@p407 @p406) :args (@t2224)) % 1.12/1.34 (step @p409 :rule refl :args (@t1596)) % 1.12/1.34 (step @p410 :rule cong :premises (@p409 @p408) :args (@t2225)) % 1.12/1.34 (step @p411 :rule refl :args (@t1602)) % 1.12/1.34 (step @p412 :rule cong :premises (@p411 @p410) :args (@t2226)) % 1.12/1.34 (step @p413 :rule refl :args (@t1604)) % 1.12/1.34 (step @p414 :rule cong :premises (@p413 @p412) :args (@t2227)) % 1.12/1.34 (step @p415 :rule refl :args (@t1605)) % 1.12/1.34 (step @p416 :rule cong :premises (@p415 @p414) :args (@t2228)) % 1.12/1.34 (step @p417 :rule refl :args (@t1612)) % 1.12/1.34 (step @p418 :rule cong :premises (@p417 @p416) :args (@t2229)) % 1.12/1.34 (step @p419 :rule refl :args (@t1613)) % 1.12/1.34 (step @p420 :rule cong :premises (@p419 @p418) :args (@t2230)) % 1.12/1.34 (step @p421 :rule cong :premises (@p419 @p420) :args (@t2231)) % 1.12/1.34 (step @p422 :rule refl :args (@t1620)) % 1.12/1.34 (step @p423 :rule cong :premises (@p422 @p421) :args (@t2232)) % 1.12/1.34 (step @p424 :rule refl :args (@t1627)) % 1.12/1.34 (step @p425 :rule cong :premises (@p424 @p423) :args (@t2233)) % 1.12/1.34 (step @p426 :rule refl :args (@t1633)) % 1.12/1.34 (step @p427 :rule cong :premises (@p426 @p425) :args (@t2234)) % 1.12/1.34 (step @p428 :rule refl :args (@t1639)) % 1.12/1.34 (step @p429 :rule cong :premises (@p428 @p427) :args (@t2235)) % 1.12/1.34 (step @p430 :rule bool-impl-true2 :args (@t2235)) % 1.12/1.34 (step @p431 :rule trans :premises (@p430 @p429)) % 1.12/1.34 (step @p432 :rule refl :args (@t1642)) % 1.12/1.34 (step @p433 :rule cong :premises (@p432 @p431) :args (@t2236)) % 1.12/1.34 (step @p434 :rule refl :args (@t1643)) % 1.12/1.34 (step @p435 :rule cong :premises (@p434 @p433) :args (@t2237)) % 1.12/1.34 (step @p436 :rule refl :args (@t1645)) % 1.12/1.34 (step @p437 :rule cong :premises (@p436 @p435) :args (@t2238)) % 1.12/1.34 (step @p438 :rule refl :args (@t1648)) % 1.12/1.34 (step @p439 :rule cong :premises (@p438 @p437) :args (@t2239)) % 1.12/1.34 (step @p440 :rule refl :args (@t1651)) % 1.12/1.34 (step @p441 :rule cong :premises (@p440 @p439) :args (@t2240)) % 1.12/1.34 (step @p442 :rule refl :args (@t1658)) % 1.12/1.34 (step @p443 :rule cong :premises (@p442 @p441) :args (@t2241)) % 1.12/1.34 (step @p444 :rule refl :args (@t1661)) % 1.12/1.34 (step @p445 :rule cong :premises (@p444 @p443) :args (@t2242)) % 1.12/1.34 (step @p446 :rule refl :args (@t1672)) % 1.12/1.34 (step @p447 :rule cong :premises (@p446 @p445) :args (@t2243)) % 1.12/1.34 (step @p448 :rule refl :args (@t1673)) % 1.12/1.34 (step @p449 :rule cong :premises (@p448 @p447) :args (@t2244)) % 1.12/1.34 (step @p450 :rule refl :args (@t1677)) % 1.12/1.34 (step @p451 :rule cong :premises (@p450 @p449) :args (@t2245)) % 1.12/1.34 (step @p452 :rule refl :args (@t1680)) % 1.12/1.34 (step @p453 :rule cong :premises (@p452 @p451) :args (@t2246)) % 1.12/1.34 (step @p454 :rule refl :args (@t1682)) % 1.12/1.34 (step @p455 :rule cong :premises (@p454 @p453) :args (@t2247)) % 1.12/1.34 (step @p456 :rule refl :args (@t1683)) % 1.12/1.34 (step @p457 :rule cong :premises (@p456 @p455) :args (@t2248)) % 1.12/1.34 (step @p458 :rule refl :args (@t1684)) % 1.12/1.34 (step @p459 :rule cong :premises (@p458 @p457) :args (@t2249)) % 1.12/1.34 (step @p460 :rule refl :args (@t1686)) % 1.12/1.34 (step @p461 :rule cong :premises (@p460 @p459) :args (@t2250)) % 1.12/1.34 (step @p462 :rule refl :args (@t1689)) % 1.12/1.34 (step @p463 :rule cong :premises (@p462 @p461) :args (@t2251)) % 1.12/1.34 (step @p464 :rule refl :args (@t1691)) % 1.12/1.34 (step @p465 :rule cong :premises (@p464 @p463) :args (@t2252)) % 1.12/1.34 (step @p466 :rule refl :args (@t1696)) % 1.12/1.34 (step @p467 :rule cong :premises (@p466 @p465) :args (@t2253)) % 1.12/1.34 (step @p468 :rule refl :args (@t1698)) % 1.12/1.34 (step @p469 :rule cong :premises (@p468 @p467) :args (@t2254)) % 1.12/1.34 (step @p470 :rule refl :args (@t1699)) % 1.12/1.34 (step @p471 :rule cong :premises (@p470 @p469) :args (@t2255)) % 1.12/1.34 (step @p472 :rule refl :args (@t1715)) % 1.12/1.34 (step @p473 :rule cong :premises (@p472 @p471) :args (@t2256)) % 1.12/1.34 (step @p474 :rule refl :args (@t1722)) % 1.12/1.34 (step @p475 :rule cong :premises (@p474 @p473) :args (@t2257)) % 1.12/1.34 (step @p476 :rule refl :args (@t1725)) % 1.12/1.34 (step @p477 :rule cong :premises (@p476 @p475) :args (@t2258)) % 1.12/1.34 (step @p478 :rule cong :premises (@p472 @p477) :args (@t2259)) % 1.12/1.34 (step @p479 :rule refl :args (@t1727)) % 1.12/1.34 (step @p480 :rule cong :premises (@p479 @p478) :args (@t2260)) % 1.12/1.34 (step @p481 :rule refl :args (@t1731)) % 1.12/1.34 (step @p482 :rule cong :premises (@p481 @p480) :args (@t2261)) % 1.12/1.34 (step @p483 :rule refl :args (@t1733)) % 1.12/1.34 (step @p484 :rule cong :premises (@p483 @p482) :args (@t2262)) % 1.12/1.34 (step @p485 :rule refl :args (@t1741)) % 1.12/1.34 (step @p486 :rule cong :premises (@p485 @p484) :args (@t2263)) % 1.12/1.34 (step @p487 :rule refl :args (@t1742)) % 1.12/1.34 (step @p488 :rule cong :premises (@p487 @p486) :args (@t2264)) % 1.12/1.34 (step @p489 :rule refl :args (@t1749)) % 1.12/1.34 (step @p490 :rule cong :premises (@p489 @p488) :args (@t2265)) % 1.12/1.34 (step @p491 :rule refl :args (@t1755)) % 1.12/1.34 (step @p492 :rule cong :premises (@p491 @p490) :args (@t2266)) % 1.12/1.34 (step @p493 :rule refl :args (@t1764)) % 1.12/1.34 (step @p494 :rule cong :premises (@p493 @p492) :args (@t2267)) % 1.12/1.34 (step @p495 :rule refl :args (@t1770)) % 1.12/1.34 (step @p496 :rule cong :premises (@p495 @p494) :args (@t2268)) % 1.12/1.34 (step @p497 :rule refl :args (@t1776)) % 1.12/1.34 (step @p498 :rule cong :premises (@p497 @p496) :args (@t2269)) % 1.12/1.34 (step @p499 :rule refl :args (@t1782)) % 1.12/1.34 (step @p500 :rule cong :premises (@p499 @p498) :args (@t2270)) % 1.12/1.34 (step @p501 :rule refl :args (@t1788)) % 1.12/1.34 (step @p502 :rule cong :premises (@p501 @p500) :args (@t2271)) % 1.12/1.34 (step @p503 :rule cong :premises (@p250 @p502) :args (@t2272)) % 1.12/1.34 (step @p504 :rule refl :args (@t1793)) % 1.12/1.34 (step @p505 :rule cong :premises (@p504 @p503) :args (@t2273)) % 1.12/1.34 (step @p506 :rule refl :args (@t1795)) % 1.12/1.34 (step @p507 :rule cong :premises (@p506 @p505) :args (@t2274)) % 1.12/1.34 (step @p508 :rule refl :args (@t1797)) % 1.12/1.34 (step @p509 :rule cong :premises (@p508 @p507) :args (@t2275)) % 1.12/1.34 (step @p510 :rule refl :args (@t1799)) % 1.12/1.34 (step @p511 :rule cong :premises (@p510 @p509) :args (@t2276)) % 1.12/1.34 (step @p512 :rule refl :args (@t1801)) % 1.12/1.34 (step @p513 :rule cong :premises (@p512 @p511) :args (@t2277)) % 1.12/1.34 (step @p514 :rule refl :args (@t1804)) % 1.12/1.34 (step @p515 :rule cong :premises (@p514 @p513) :args (@t2278)) % 1.12/1.34 (step @p516 :rule refl :args (@t1806)) % 1.12/1.34 (step @p517 :rule cong :premises (@p516 @p515) :args (@t2279)) % 1.12/1.34 (step @p518 :rule cong :premises (@p246 @p517) :args (@t2280)) % 1.12/1.34 (step @p519 :rule refl :args (@t1813)) % 1.12/1.34 (step @p520 :rule cong :premises (@p519 @p518) :args (@t2281)) % 1.12/1.34 (step @p521 :rule refl :args (@t1815)) % 1.12/1.34 (step @p522 :rule cong :premises (@p521 @p520) :args (@t2282)) % 1.12/1.34 (step @p523 :rule refl :args (@t1816)) % 1.12/1.34 (step @p524 :rule cong :premises (@p523 @p522) :args (@t2283)) % 1.12/1.34 (step @p525 :rule refl :args (@t1817)) % 1.12/1.34 (step @p526 :rule cong :premises (@p525 @p524) :args (@t2284)) % 1.12/1.34 (step @p527 :rule refl :args (@t1820)) % 1.12/1.34 (step @p528 :rule cong :premises (@p527 @p526) :args (@t2285)) % 1.12/1.34 (step @p529 :rule refl :args (@t1824)) % 1.12/1.34 (step @p530 :rule cong :premises (@p529 @p528) :args (@t2286)) % 1.12/1.34 (step @p531 :rule refl :args (@t1826)) % 1.12/1.34 (step @p532 :rule cong :premises (@p531 @p530) :args (@t2287)) % 1.12/1.34 (step @p533 :rule refl :args (@t1829)) % 1.12/1.34 (step @p534 :rule cong :premises (@p533 @p532) :args (@t2288)) % 1.12/1.34 (step @p535 :rule refl :args (@t1830)) % 1.12/1.34 (step @p536 :rule cong :premises (@p535 @p534) :args (@t2289)) % 1.12/1.34 (step @p537 :rule refl :args (@t1831)) % 1.12/1.34 (step @p538 :rule cong :premises (@p537 @p536) :args (@t2290)) % 1.12/1.34 (step @p539 :rule refl :args (@t1832)) % 1.12/1.34 (step @p540 :rule cong :premises (@p539 @p538) :args (@t2291)) % 1.12/1.34 (step @p541 :rule refl :args (@t1834)) % 1.12/1.34 (step @p542 :rule cong :premises (@p541 @p540) :args (@t2292)) % 1.12/1.34 (step @p543 :rule refl :args (@t1835)) % 1.12/1.34 (step @p544 :rule cong :premises (@p543 @p542) :args (@t2293)) % 1.12/1.34 (step @p545 :rule refl :args (@t1836)) % 1.12/1.34 (step @p546 :rule cong :premises (@p545 @p544) :args (@t2294)) % 1.12/1.34 (step @p547 :rule refl :args (@t1837)) % 1.12/1.34 (step @p548 :rule cong :premises (@p547 @p546) :args (@t2295)) % 1.12/1.34 (step @p549 :rule refl :args (@t1843)) % 1.12/1.34 (step @p550 :rule cong :premises (@p549 @p548) :args (@t2296)) % 1.12/1.34 (step @p551 :rule refl :args (@t1845)) % 1.12/1.34 (step @p552 :rule cong :premises (@p551 @p550) :args (@t2297)) % 1.12/1.34 (step @p553 :rule refl :args (@t1849)) % 1.12/1.34 (step @p554 :rule cong :premises (@p553 @p552) :args (@t2298)) % 1.12/1.34 (step @p555 :rule refl :args (@t1851)) % 1.12/1.34 (step @p556 :rule cong :premises (@p555 @p554) :args (@t2299)) % 1.12/1.34 (step @p557 :rule refl :args (@t1854)) % 1.12/1.34 (step @p558 :rule cong :premises (@p557 @p556) :args (@t2300)) % 1.12/1.34 (step @p559 :rule refl :args (@t1857)) % 1.12/1.34 (step @p560 :rule cong :premises (@p559 @p558) :args (@t2301)) % 1.12/1.34 (step @p561 :rule refl :args (@t1858)) % 1.12/1.34 (step @p562 :rule cong :premises (@p561 @p560) :args (@t2302)) % 1.12/1.34 (step @p563 :rule refl :args (@t1859)) % 1.12/1.34 (step @p564 :rule cong :premises (@p563 @p562) :args (@t2303)) % 1.12/1.34 (step @p565 :rule refl :args (@t1861)) % 1.12/1.34 (step @p566 :rule cong :premises (@p565 @p564) :args (@t2304)) % 1.12/1.34 (step @p567 :rule refl :args (@t1862)) % 1.12/1.34 (step @p568 :rule cong :premises (@p567 @p566) :args (@t2305)) % 1.12/1.34 (step @p569 :rule refl :args (@t1866)) % 1.12/1.34 (step @p570 :rule cong :premises (@p569 @p568) :args (@t2306)) % 1.12/1.34 (step @p571 :rule refl :args (@t1867)) % 1.12/1.34 (step @p572 :rule cong :premises (@p571 @p570) :args (@t2307)) % 1.12/1.34 (step @p573 :rule refl :args (@t1869)) % 1.12/1.34 (step @p574 :rule cong :premises (@p573 @p572) :args (@t2308)) % 1.12/1.34 (step @p575 :rule refl :args (@t1871)) % 1.12/1.34 (step @p576 :rule cong :premises (@p575 @p574) :args (@t2309)) % 1.12/1.34 (step @p577 :rule refl :args (@t1874)) % 1.12/1.34 (step @p578 :rule cong :premises (@p577 @p576) :args (@t2310)) % 1.12/1.34 (step @p579 :rule cong :premises (@p577 @p578) :args (@t2311)) % 1.12/1.34 (step @p580 :rule refl :args (@t1875)) % 1.12/1.34 (step @p581 :rule cong :premises (@p580 @p579) :args (@t2312)) % 1.12/1.34 (step @p582 :rule cong :premises (@p246 @p581) :args (@t2313)) % 1.12/1.34 (step @p583 :rule refl :args (@t1876)) % 1.12/1.34 (step @p584 :rule cong :premises (@p583 @p582) :args (@t2314)) % 1.12/1.34 (step @p585 :rule refl :args (@t1877)) % 1.12/1.34 (step @p586 :rule cong :premises (@p585 @p584) :args (@t2315)) % 1.12/1.34 (step @p587 :rule refl :args (@t1878)) % 1.12/1.34 (step @p588 :rule cong :premises (@p587 @p586) :args (@t2316)) % 1.12/1.34 (step @p589 :rule refl :args (@t1881)) % 1.12/1.34 (step @p590 :rule cong :premises (@p589 @p588) :args (@t2317)) % 1.12/1.34 (step @p591 :rule refl :args (@t1883)) % 1.12/1.34 (step @p592 :rule cong :premises (@p591 @p590) :args (@t2318)) % 1.12/1.34 (step @p593 :rule refl :args (@t1886)) % 1.12/1.34 (step @p594 :rule cong :premises (@p593 @p592) :args (@t2319)) % 1.12/1.34 (step @p595 :rule refl :args (@t1887)) % 1.12/1.34 (step @p596 :rule cong :premises (@p595 @p594) :args (@t2320)) % 1.12/1.34 (step @p597 :rule refl :args (@t1889)) % 1.12/1.34 (step @p598 :rule cong :premises (@p597 @p596) :args (@t2321)) % 1.12/1.34 (step @p599 :rule refl :args (@t1890)) % 1.12/1.34 (step @p600 :rule cong :premises (@p599 @p598) :args (@t2322)) % 1.12/1.34 (step @p601 :rule refl :args (@t1892)) % 1.12/1.34 (step @p602 :rule cong :premises (@p601 @p600) :args (@t2323)) % 1.12/1.34 (step @p603 :rule refl :args (@t1895)) % 1.12/1.34 (step @p604 :rule cong :premises (@p603 @p602) :args (@t2324)) % 1.12/1.34 (step @p605 :rule refl :args (@t1898)) % 1.12/1.34 (step @p606 :rule cong :premises (@p605 @p604) :args (@t2325)) % 1.12/1.34 (step @p607 :rule refl :args (@t1901)) % 1.12/1.34 (step @p608 :rule cong :premises (@p607 @p606) :args (@t2326)) % 1.12/1.34 (step @p609 :rule refl :args (@t1903)) % 1.12/1.34 (step @p610 :rule cong :premises (@p609 @p608) :args (@t2327)) % 1.12/1.34 (step @p611 :rule bool-impl-true2 :args (@t2327)) % 1.12/1.34 (step @p612 :rule trans :premises (@p611 @p610)) % 1.12/1.34 (step @p613 :rule refl :args (@t1905)) % 1.12/1.34 (step @p614 :rule cong :premises (@p613 @p612) :args (@t2328)) % 1.12/1.34 (step @p615 :rule refl :args (@t1906)) % 1.12/1.34 (step @p616 :rule cong :premises (@p615 @p614) :args (@t2329)) % 1.12/1.34 (step @p617 :rule refl :args (@t1907)) % 1.12/1.34 (step @p618 :rule cong :premises (@p617 @p616) :args (@t2330)) % 1.12/1.34 (step @p619 :rule refl :args (@t1908)) % 1.12/1.34 (step @p620 :rule cong :premises (@p619 @p618) :args (@t2331)) % 1.12/1.34 (step @p621 :rule refl :args (@t1910)) % 1.12/1.34 (step @p622 :rule cong :premises (@p621 @p620) :args (@t2332)) % 1.12/1.34 (step @p623 :rule refl :args (@t1913)) % 1.12/1.34 (step @p624 :rule cong :premises (@p623 @p622) :args (@t2333)) % 1.12/1.34 (step @p625 :rule cong :premises (@p613 @p624) :args (@t2334)) % 1.12/1.34 (step @p626 :rule cong :premises (@p613 @p625) :args (@t2335)) % 1.12/1.34 (step @p627 :rule cong :premises (@p623 @p626) :args (@t2336)) % 1.12/1.34 (step @p628 :rule refl :args (@t1924)) % 1.12/1.34 (step @p629 :rule cong :premises (@p628 @p627) :args (@t2337)) % 1.12/1.34 (step @p630 :rule refl :args (@t1937)) % 1.12/1.34 (step @p631 :rule cong :premises (@p630 @p629) :args (@t2338)) % 1.12/1.34 (step @p632 :rule refl :args (@t1946)) % 1.12/1.34 (step @p633 :rule cong :premises (@p632 @p631) :args (@t2339)) % 1.12/1.34 (step @p634 :rule bool-impl-true2 :args (@t2339)) % 1.12/1.34 (step @p635 :rule trans :premises (@p634 @p633)) % 1.12/1.34 (step @p636 :rule bool-impl-true2 :args (@t2339)) % 1.12/1.34 (step @p637 :rule cong :premises (@p367 @p636) :args (@t2340)) % 1.12/1.34 (step @p638 :rule trans :premises (@p637 @p635)) % 1.12/1.34 (step @p639 :rule cong :premises (@p367 @p636) :args (@t2340)) % 1.12/1.34 (step @p640 :rule cong :premises (@p367 @p639) :args (@t2341)) % 1.12/1.34 (step @p641 :rule trans :premises (@p640 @p638)) % 1.12/1.34 (step @p642 :rule cong :premises (@p367 @p639) :args (@t2341)) % 1.12/1.34 (step @p643 :rule cong :premises (@p367 @p642) :args (@t2342)) % 1.12/1.34 (step @p644 :rule trans :premises (@p643 @p641)) % 1.12/1.34 (step @p645 :rule cong :premises (@p367 @p642) :args (@t2342)) % 1.12/1.34 (step @p646 :rule cong :premises (@p367 @p645) :args (@t2343)) % 1.12/1.34 (step @p647 :rule trans :premises (@p646 @p644)) % 1.12/1.34 (step @p648 :rule refl :args (@t1956)) % 1.12/1.34 (step @p649 :rule cong :premises (@p648 @p647) :args (@t2344)) % 1.12/1.34 (step @p650 :rule cong :premises (@p632 @p649) :args (@t2345)) % 1.12/1.34 (step @p651 :rule bool-impl-true2 :args (@t2345)) % 1.12/1.34 (step @p652 :rule trans :premises (@p651 @p650)) % 1.12/1.34 (step @p653 :rule bool-impl-true2 :args (@t2345)) % 1.12/1.34 (step @p654 :rule cong :premises (@p367 @p653) :args (@t2346)) % 1.12/1.34 (step @p655 :rule trans :premises (@p654 @p652)) % 1.12/1.34 (step @p656 :rule refl :args (@t1959)) % 1.12/1.34 (step @p657 :rule cong :premises (@p656 @p655) :args (@t2347)) % 1.12/1.34 (step @p658 :rule refl :args (@t1965)) % 1.12/1.34 (step @p659 :rule cong :premises (@p658 @p657) :args (@t2348)) % 1.12/1.34 (step @p660 :rule bool-impl-true2 :args (@t2348)) % 1.12/1.34 (step @p661 :rule trans :premises (@p660 @p659)) % 1.12/1.34 (step @p662 :rule bool-impl-true2 :args (@t2348)) % 1.12/1.34 (step @p663 :rule cong :premises (@p367 @p662) :args (@t2349)) % 1.12/1.34 (step @p664 :rule trans :premises (@p663 @p661)) % 1.12/1.34 (step @p665 :rule cong :premises (@p367 @p662) :args (@t2349)) % 1.12/1.34 (step @p666 :rule cong :premises (@p367 @p665) :args (@t2350)) % 1.12/1.34 (step @p667 :rule trans :premises (@p666 @p664)) % 1.12/1.34 (step @p668 :rule refl :args (@t1968)) % 1.12/1.34 (step @p669 :rule cong :premises (@p668 @p667) :args (@t2351)) % 1.12/1.34 (step @p670 :rule refl :args (@t1970)) % 1.12/1.34 (step @p671 :rule cong :premises (@p670 @p669) :args (@t2352)) % 1.12/1.34 (step @p672 :rule bool-impl-true2 :args (@t2352)) % 1.12/1.34 (step @p673 :rule trans :premises (@p672 @p671)) % 1.12/1.34 (step @p674 :rule bool-impl-true2 :args (@t2352)) % 1.12/1.34 (step @p675 :rule cong :premises (@p367 @p674) :args (@t2353)) % 1.12/1.34 (step @p676 :rule trans :premises (@p675 @p673)) % 1.12/1.34 (step @p677 :rule cong :premises (@p367 @p674) :args (@t2353)) % 1.12/1.34 (step @p678 :rule cong :premises (@p367 @p677) :args (@t2354)) % 1.12/1.34 (step @p679 :rule trans :premises (@p678 @p676)) % 1.12/1.34 (step @p680 :rule cong :premises (@p367 @p677) :args (@t2354)) % 1.12/1.34 (step @p681 :rule cong :premises (@p367 @p680) :args (@t2355)) % 1.12/1.34 (step @p682 :rule trans :premises (@p681 @p679)) % 1.12/1.34 (step @p683 :rule cong :premises (@p242 @p682) :args (@t2356)) % 1.12/1.34 (step @p684 :rule cong :premises (@p244 @p683) :args (@t2357)) % 1.12/1.34 (step @p685 :rule cong :premises (@p246 @p684) :args (@t2358)) % 1.12/1.34 (step @p686 :rule cong :premises (@p248 @p685) :args (@t2359)) % 1.12/1.34 (step @p687 :rule cong :premises (@p250 @p686) :args (@t2360)) % 1.12/1.34 (step @p688 :rule cong :premises (@p252 @p687) :args (@t2361)) % 1.12/1.34 (step @p689 :rule cong :premises (@p254 @p688) :args (@t2362)) % 1.12/1.34 (step @p690 :rule cong :premises (@p256 @p689) :args (@t2363)) % 1.12/1.34 (step @p691 :rule cong :premises (@p258 @p690) :args (@t2364)) % 1.12/1.34 (step @p692 :rule cong :premises (@p260 @p691) :args (@t2365)) % 1.12/1.34 (step @p693 :rule cong :premises (@p262 @p692) :args (@t2366)) % 1.12/1.34 (step @p694 :rule cong :premises (@p264 @p693) :args (@t2367)) % 1.12/1.34 (step @p695 :rule cong :premises (@p266 @p694) :args (@t2368)) % 1.12/1.34 (step @p696 :rule cong :premises (@p268 @p695) :args (@t2369)) % 1.12/1.34 (step @p697 :rule cong :premises (@p270 @p696) :args (@t2370)) % 1.12/1.34 (step @p698 :rule cong :premises (@p272 @p697) :args (@t2371)) % 1.12/1.34 (step @p699 :rule cong :premises (@p272 @p698) :args (@t2372)) % 1.12/1.34 (step @p700 :rule cong :premises (@p275 @p699) :args (@t2373)) % 1.12/1.34 (step @p701 :rule cong :premises (@p277 @p700) :args (@t2374)) % 1.12/1.34 (step @p702 :rule cong :premises (@p279 @p701) :args (@t2375)) % 1.12/1.34 (step @p703 :rule cong :premises (@p279 @p702) :args (@t2376)) % 1.12/1.34 (step @p704 :rule cong :premises (@p282 @p703) :args (@t2377)) % 1.12/1.34 (step @p705 :rule refl :args (@t221)) % 1.12/1.34 (step @p706 :rule cong :premises (@p705 @p704) :args (@t2378)) % 1.12/1.34 (step @p707 :rule cong :premises (@p303 @p706) :args (@t2379)) % 1.12/1.34 (step @p708 :rule cong :premises (@p305 @p707) :args (@t2380)) % 1.12/1.34 (step @p709 :rule cong :premises (@p307 @p708) :args (@t2381)) % 1.12/1.34 (step @p710 :rule cong :premises (@p260 @p709) :args (@t2382)) % 1.12/1.34 (step @p711 :rule cong :premises (@p310 @p710) :args (@t2383)) % 1.12/1.34 (step @p712 :rule cong :premises (@p312 @p711) :args (@t2384)) % 1.12/1.34 (step @p713 :rule cong :premises (@p312 @p712) :args (@t2385)) % 1.12/1.34 (step @p714 :rule cong :premises (@p315 @p713) :args (@t2386)) % 1.12/1.34 (step @p715 :rule cong :premises (@p317 @p714) :args (@t2387)) % 1.12/1.34 (step @p716 :rule cong :premises (@p319 @p715) :args (@t2388)) % 1.12/1.34 (step @p717 :rule cong :premises (@p319 @p716) :args (@t2389)) % 1.12/1.34 (step @p718 :rule cong :premises (@p319 @p717) :args (@t2390)) % 1.12/1.34 (step @p719 :rule cong :premises (@p323 @p718) :args (@t2391)) % 1.12/1.34 (step @p720 :rule bool-impl-true2 :args (@t2391)) % 1.12/1.34 (step @p721 :rule trans :premises (@p720 @p719)) % 1.12/1.34 (step @p722 :rule cong :premises (@p325 @p721) :args (@t2392)) % 1.12/1.34 (step @p723 :rule cong :premises (@p327 @p722) :args (@t2393)) % 1.12/1.34 (step @p724 :rule cong :premises (@p329 @p723) :args (@t2394)) % 1.12/1.34 (step @p725 :rule cong :premises (@p331 @p724) :args (@t2395)) % 1.12/1.34 (step @p726 :rule cong :premises (@p333 @p725) :args (@t2396)) % 1.12/1.34 (step @p727 :rule cong :premises (@p335 @p726) :args (@t2397)) % 1.12/1.34 (step @p728 :rule cong :premises (@p337 @p727) :args (@t2398)) % 1.12/1.34 (step @p729 :rule cong :premises (@p339 @p728) :args (@t2399)) % 1.12/1.34 (step @p730 :rule cong :premises (@p341 @p729) :args (@t2400)) % 1.12/1.34 (step @p731 :rule refl :args (@t50)) % 1.12/1.34 (step @p732 :rule cong :premises (@p731 @p730) :args (@t2401)) % 1.12/1.34 (step @p733 :rule cong :premises (@p349 @p732) :args (@t2402)) % 1.12/1.34 (step @p734 :rule cong :premises (@p351 @p733) :args (@t2403)) % 1.12/1.34 (step @p735 :rule cong :premises (@p353 @p734) :args (@t2404)) % 1.12/1.34 (step @p736 :rule cong :premises (@p319 @p735) :args (@t2405)) % 1.12/1.34 (step @p737 :rule cong :premises (@p356 @p736) :args (@t2406)) % 1.12/1.34 (step @p738 :rule cong :premises (@p737) :args ((not @t2406))) % 1.12/1.34 (step @p739 :rule refl :args (@t1379)) % 1.12/1.34 (step @p740 :rule aci_norm :args ((= @t2408 @t1385))) % 1.12/1.34 (step @p741 :rule cong :premises (@p740) :args (@t2409)) % 1.12/1.34 (step @p742 :rule quant-merge-prenex :args ((= (forall @t1071 @t2411) @t2409))) % 1.12/1.34 (step @p743 :rule alpha_equiv :args (@t2412 (@list @t1380) @t2413)) % 1.12/1.34 (step @p744 :rule refl :args (@t1384)) % 1.12/1.34 (step @p745 :rule nary_cong :premises (@p744 @p743) :args (@t2414)) % 1.12/1.34 (step @p746 :rule quant-miniscope-or :args ((= @t2411 @t2414))) % 1.12/1.34 (step @p747 :rule trans :premises (@p746 @p745)) % 1.12/1.34 (step @p748 :rule symm :premises (@p747)) % 1.12/1.34 (step @p749 :rule cong :premises (@p748) :args ((forall @t1071 (or @t1384 @t2417)))) % 1.12/1.34 (step @p750 :rule trans :premises (@p749 @p742)) % 1.12/1.34 (step @p751 :rule trans :premises (@p750 @p741)) % 1.12/1.34 (step @p752 :rule refl :args (@t2417)) % 1.12/1.34 (step @p753 :rule refl :args (@t1383)) % 1.12/1.34 (step @p754 :rule refl :args (@t7)) % 1.12/1.34 (step @p755 :rule cong :premises (@p754 @p753) :args ((= @t7 @t1383))) % 1.12/1.34 (step @p756 :rule symm :premises (@p755)) % 1.12/1.34 (step @p757 :rule eq_resolve :premises (@p754 @p756)) % 1.12/1.34 (step @p758 :rule cong :premises (@p757) :args (@t197)) % 1.12/1.34 (step @p759 :rule nary_cong :premises (@p758 @p752) :args (@t2418)) % 1.12/1.34 (step @p760 :rule cong :premises (@p759) :args ((forall @t1071 @t2418))) % 1.12/1.34 (step @p761 :rule trans :premises (@p760 @p751)) % 1.12/1.34 (step @p762 :rule bool-impl-elim :args (@t7 @t2417)) % 1.12/1.34 (step @p763 :rule cong :premises (@p762) :args ((forall @t1071 (=> @t7 @t2417)))) % 1.12/1.34 (step @p764 :rule trans :premises (@p763 @p761)) % 1.12/1.34 (step @p765 :rule refl :args ((tptp.in @t1099 @t293))) % 1.12/1.34 (step @p766 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.12/1.34 (step @p767 :rule refl :args (@t1667)) % 1.12/1.34 (step @p768 :rule refl :args (@t4)) % 1.12/1.34 (step @p769 :rule cong :premises (@p768 @p767) :args (@t1668)) % 1.12/1.34 (step @p770 :rule trans :premises (@p769 @p766)) % 1.12/1.34 (step @p771 :rule refl :args (@t2415)) % 1.12/1.34 (step @p772 :rule cong :premises (@p771 @p770) :args (@t2416)) % 1.12/1.34 (step @p773 :rule trans :premises (@p772 @p765)) % 1.12/1.34 (step @p774 :rule refl :args (tptp.in)) % 1.12/1.34 (step @p775 :rule ho_cong :premises (@p774 @p771)) % 1.12/1.34 (step @p776 :rule ho_cong :premises (@p775 @p770)) % 1.12/1.34 (step @p777 :rule cong :premises (@p776 @p773) :args ((= (_ @t2419 @t1668) @t2416))) % 1.12/1.34 (step @p778 :rule symm :premises (@p777)) % 1.12/1.34 (step @p779 :rule refl :args (@t1123)) % 1.12/1.34 (step @p780 :rule eq_resolve :premises (@p779 @p778)) % 1.12/1.34 (step @p781 :rule refl :args (@t24)) % 1.12/1.34 (step @p782 :rule ho_cong :premises (@p781 @p767)) % 1.12/1.34 (step @p783 :rule cong :premises (@p782 @p770) :args ((= (_ @t24 @t1667) @t1668))) % 1.12/1.34 (step @p784 :rule symm :premises (@p783)) % 1.12/1.34 (step @p785 :rule refl :args (@t293)) % 1.12/1.34 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 1.12/1.34 (step @p787 :rule refl :args (@t275)) % 1.12/1.34 (step @p788 :rule cong :premises (@p787 @p767) :args ((= @t275 @t1667))) % 1.12/1.34 (step @p789 :rule symm :premises (@p788)) % 1.12/1.34 (step @p790 :rule eq_resolve :premises (@p787 @p789)) % 1.12/1.34 (step @p791 :rule ho_cong :premises (@p781 @p790)) % 1.12/1.34 (step @p792 :rule trans :premises (@p791 @p786)) % 1.12/1.34 (step @p793 :rule refl :args (@t1099)) % 1.12/1.34 (step @p794 :rule cong :premises (@p793 @p771) :args ((= @t1099 @t2415))) % 1.12/1.34 (step @p795 :rule symm :premises (@p794)) % 1.12/1.34 (step @p796 :rule eq_resolve :premises (@p793 @p795)) % 1.12/1.34 (step @p797 :rule ho_cong :premises (@p774 @p796)) % 1.12/1.34 (step @p798 :rule ho_cong :premises (@p797 @p792)) % 1.12/1.34 (step @p799 :rule trans :premises (@p798 @p780)) % 1.12/1.34 (step @p800 :rule refl :args (@t1718)) % 1.12/1.34 (step @p801 :rule refl :args (@t21)) % 1.12/1.34 (step @p802 :rule cong :premises (@p801 @p800) :args ((= @t21 @t1718))) % 1.12/1.34 (step @p803 :rule symm :premises (@p802)) % 1.12/1.34 (step @p804 :rule eq_resolve :premises (@p801 @p803)) % 1.12/1.34 (step @p805 :rule cong :premises (@p804) :args (@t2420)) % 1.12/1.34 (step @p806 :rule nary_cong :premises (@p805 @p799) :args (@t2421)) % 1.12/1.34 (step @p807 :rule cong :premises (@p806) :args ((forall @t70 @t2421))) % 1.12/1.34 (step @p808 :rule bool-impl-elim :args (@t21 @t1123)) % 1.12/1.34 (step @p809 :rule cong :premises (@p808) :args (@t1124)) % 1.12/1.34 (step @p810 :rule trans :premises (@p809 @p807)) % 1.12/1.34 (step @p811 :rule refl :args (@t7)) % 1.12/1.34 (step @p812 :rule cong :premises (@p811 @p810) :args (@t1125)) % 1.12/1.34 (step @p813 :rule cong :premises (@p812) :args (@t1126)) % 1.12/1.34 (step @p814 :rule trans :premises (@p813 @p764)) % 1.12/1.34 (step @p815 :rule refl :args (tptp.iftrueorfalse)) % 1.12/1.34 (step @p816 :rule cong :premises (@p815 @p814) :args (@t1127)) % 1.12/1.34 (step @p817 :rule eq_resolve :premises (@p226 @p816)) % 1.12/1.34 (step @p818 :rule cong :premises (@p817 @p739) :args (@t2422)) % 1.12/1.34 (step @p819 :rule aci_norm :args ((= @t2423 @t1390))) % 1.12/1.34 (step @p820 :rule cong :premises (@p819) :args ((forall @t1391 @t2423))) % 1.12/1.34 (step @p821 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t1384 @t173 @t1389 @t2424)) @t2423))) % 1.12/1.34 (step @p822 :rule refl :args (@t2424)) % 1.12/1.34 (step @p823 :rule refl :args (@t1389)) % 1.12/1.34 (step @p824 :rule refl :args (@t173)) % 1.12/1.34 (step @p825 :rule bool-eq-false :args (@t173)) % 1.12/1.34 (step @p826 :rule symm :premises (@p825)) % 1.12/1.34 (step @p827 :rule cong :premises (@p826) :args (@t2426)) % 1.12/1.34 (step @p828 :rule bool-double-not-elim :args (@t173)) % 1.12/1.34 (step @p829 :rule symm :premises (@p828)) % 1.12/1.34 (step @p830 :rule trans :premises (@p829 @p827)) % 1.12/1.34 (step @p831 :rule nary_cong :premises (@p830 @p744 @p824 @p823 @p822) :args (@t2427)) % 1.12/1.34 (step @p832 :rule aci_norm :args ((= @t2428 @t2427))) % 1.12/1.34 (step @p833 :rule trans :premises (@p832 @p831)) % 1.12/1.34 (step @p834 :rule cong :premises (@p833) :args (@t2429)) % 1.12/1.34 (step @p835 :rule trans :premises (@p834 @p821)) % 1.12/1.34 (step @p836 :rule cong :premises (@p835) :args (@t2430)) % 1.12/1.34 (step @p837 :rule quant-merge-prenex :args ((= @t2430 @t2431))) % 1.12/1.34 (step @p838 :rule symm :premises (@p837)) % 1.12/1.34 (step @p839 :rule quant_var_reordering :args ((= (forall @t2432 @t2428) @t2431))) % 1.12/1.34 (step @p840 :rule trans :premises (@p839 @p838 @p836)) % 1.12/1.34 (step @p841 :rule trans :premises (@p840 @p820)) % 1.12/1.34 (step @p842 :rule aci_norm :args ((= @t2434 @t2428))) % 1.12/1.34 (step @p843 :rule cong :premises (@p842) :args (@t2435)) % 1.12/1.34 (step @p844 :rule trans :premises (@p843 @p841)) % 1.12/1.34 (step @p845 :rule quant-merge-prenex :args ((= (forall @t1071 @t2437) @t2435))) % 1.12/1.34 (step @p846 :rule alpha_equiv :args (@t2438 (@list @t1387) @t2413)) % 1.12/1.34 (step @p847 :rule nary_cong :premises (@p744 @p824 @p846) :args (@t2439)) % 1.12/1.34 (step @p848 :rule quant-miniscope-or :args ((= @t2437 @t2439))) % 1.12/1.34 (step @p849 :rule trans :premises (@p848 @p847)) % 1.12/1.34 (step @p850 :rule symm :premises (@p849)) % 1.12/1.34 (step @p851 :rule cong :premises (@p850) :args ((forall @t1071 (or @t1384 @t173 @t2440)))) % 1.12/1.34 (step @p852 :rule trans :premises (@p851 @p845)) % 1.12/1.34 (step @p853 :rule trans :premises (@p852 @p844)) % 1.12/1.34 (step @p854 :rule refl :args (@t2440)) % 1.12/1.34 (step @p855 :rule nary_cong :premises (@p758 @p824 @p854) :args (@t2441)) % 1.12/1.34 (step @p856 :rule cong :premises (@p855) :args ((forall @t1071 @t2441))) % 1.12/1.34 (step @p857 :rule trans :premises (@p856 @p853)) % 1.12/1.34 (step @p858 :rule aci_norm :args ((= (or @t197 @t2442) @t2441))) % 1.12/1.34 (step @p859 :rule bool-impl-elim :args (@t7 @t2442)) % 1.12/1.34 (step @p860 :rule trans :premises (@p859 @p858)) % 1.12/1.34 (step @p861 :rule cong :premises (@p860) :args ((forall @t1071 (=> @t7 @t2442)))) % 1.12/1.34 (step @p862 :rule trans :premises (@p861 @p857)) % 1.12/1.34 (step @p863 :rule refl :args (@t19)) % 1.12/1.34 (step @p864 :rule cong :premises (@p863 @p796) :args (@t2443)) % 1.12/1.34 (step @p865 :rule nary_cong :premises (@p805 @p864) :args (@t2444)) % 1.12/1.34 (step @p866 :rule cong :premises (@p865) :args (@t2445)) % 1.12/1.34 (step @p867 :rule refl :args (@t173)) % 1.12/1.34 (step @p868 :rule nary_cong :premises (@p867 @p866) :args (@t2446)) % 1.12/1.34 (step @p869 :rule quant-miniscope-or :args ((= (forall @t70 @t2447) @t2446))) % 1.12/1.34 (step @p870 :rule aci_norm :args ((= @t2448 @t2447))) % 1.12/1.34 (step @p871 :rule cong :premises (@p870) :args ((forall @t70 @t2448))) % 1.12/1.34 (step @p872 :rule trans :premises (@p871 @p869)) % 1.12/1.34 (step @p873 :rule trans :premises (@p872 @p868)) % 1.12/1.34 (step @p874 :rule aci_norm :args ((= (or @t2420 (or @t173 @t2443)) @t2448))) % 1.12/1.34 (step @p875 :rule refl :args (@t2443)) % 1.12/1.34 (step @p876 :rule nary_cong :premises (@p828 @p875) :args ((or @t2426 @t2443))) % 1.12/1.34 (step @p877 :rule bool-impl-elim :args (@t1060 @t2443)) % 1.12/1.34 (step @p878 :rule trans :premises (@p877 @p876)) % 1.12/1.34 (step @p879 :rule refl :args (@t2420)) % 1.12/1.34 (step @p880 :rule nary_cong :premises (@p879 @p878) :args ((or @t2420 @t2449))) % 1.12/1.34 (step @p881 :rule trans :premises (@p880 @p874)) % 1.12/1.34 (step @p882 :rule bool-impl-elim :args (@t21 @t2449)) % 1.12/1.34 (step @p883 :rule trans :premises (@p882 @p881)) % 1.12/1.34 (step @p884 :rule cong :premises (@p883) :args ((forall @t70 (=> @t21 @t2449)))) % 1.12/1.34 (step @p885 :rule trans :premises (@p884 @p873)) % 1.12/1.34 (step @p886 :rule eq-symm :args (@t1099 @t19)) % 1.12/1.34 (step @p887 :rule refl :args (@t1060)) % 1.12/1.34 (step @p888 :rule cong :premises (@p887 @p886) :args (@t1117)) % 1.12/1.34 (step @p889 :rule refl :args (@t21)) % 1.12/1.34 (step @p890 :rule cong :premises (@p889 @p888) :args (@t1118)) % 1.12/1.34 (step @p891 :rule cong :premises (@p890) :args (@t1119)) % 1.12/1.34 (step @p892 :rule trans :premises (@p891 @p885)) % 1.12/1.34 (step @p893 :rule cong :premises (@p811 @p892) :args (@t1120)) % 1.12/1.34 (step @p894 :rule cong :premises (@p893) :args (@t1121)) % 1.12/1.34 (step @p895 :rule trans :premises (@p894 @p862)) % 1.12/1.34 (step @p896 :rule refl :args (tptp.iffalse)) % 1.12/1.34 (step @p897 :rule cong :premises (@p896 @p895) :args (@t1122)) % 1.12/1.34 (step @p898 :rule eq_resolve :premises (@p225 @p897)) % 1.12/1.34 (step @p899 :rule cong :premises (@p898 @p818) :args (@t2450)) % 1.12/1.34 (step @p900 :rule aci_norm :args ((= (or @t1384 false @t1394 @t1393) @t1395))) % 1.12/1.34 (step @p901 :rule refl :args (@t1393)) % 1.12/1.34 (step @p902 :rule refl :args (@t1394)) % 1.12/1.34 (step @p903 :rule evaluate :args (@t2451)) % 1.12/1.34 (step @p904 :rule refl :args (@t1384)) % 1.12/1.34 (step @p905 :rule nary_cong :premises (@p904 @p903 @p902 @p901) :args (@t2452)) % 1.12/1.34 (step @p906 :rule trans :premises (@p905 @p900)) % 1.12/1.34 (step @p907 :rule cong :premises (@p906) :args ((forall @t1396 @t2452))) % 1.12/1.34 (step @p908 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2454 @t1384 @t1060 @t1394 @t2453)) @t2452))) % 1.12/1.34 (step @p909 :rule refl :args (@t2453)) % 1.12/1.34 (step @p910 :rule refl :args (@t1394)) % 1.12/1.34 (step @p911 :rule refl :args (@t1060)) % 1.12/1.34 (step @p912 :rule bool-eq-true :args (@t173)) % 1.12/1.34 (step @p913 :rule symm :premises (@p912)) % 1.12/1.34 (step @p914 :rule cong :premises (@p913) :args (@t1060)) % 1.12/1.34 (step @p915 :rule nary_cong :premises (@p914 @p744 @p911 @p910 @p909) :args (@t2455)) % 1.12/1.34 (step @p916 :rule aci_norm :args ((= @t2456 @t2455))) % 1.12/1.34 (step @p917 :rule trans :premises (@p916 @p915)) % 1.12/1.34 (step @p918 :rule cong :premises (@p917) :args (@t2457)) % 1.12/1.34 (step @p919 :rule trans :premises (@p918 @p908)) % 1.12/1.34 (step @p920 :rule cong :premises (@p919) :args (@t2458)) % 1.12/1.34 (step @p921 :rule quant-merge-prenex :args ((= @t2458 @t2459))) % 1.12/1.34 (step @p922 :rule symm :premises (@p921)) % 1.12/1.34 (step @p923 :rule quant_var_reordering :args ((= (forall @t2460 @t2456) @t2459))) % 1.12/1.34 (step @p924 :rule trans :premises (@p923 @p922 @p920)) % 1.12/1.34 (step @p925 :rule trans :premises (@p924 @p907)) % 1.12/1.34 (step @p926 :rule aci_norm :args ((= @t2462 @t2456))) % 1.12/1.34 (step @p927 :rule cong :premises (@p926) :args (@t2463)) % 1.12/1.34 (step @p928 :rule trans :premises (@p927 @p925)) % 1.12/1.34 (step @p929 :rule quant-merge-prenex :args ((= (forall @t1071 @t2465) @t2463))) % 1.12/1.34 (step @p930 :rule alpha_equiv :args (@t2466 (@list @t1392) @t2413)) % 1.12/1.34 (step @p931 :rule nary_cong :premises (@p744 @p911 @p930) :args (@t2467)) % 1.12/1.34 (step @p932 :rule quant-miniscope-or :args ((= @t2465 @t2467))) % 1.12/1.34 (step @p933 :rule trans :premises (@p932 @p931)) % 1.12/1.34 (step @p934 :rule symm :premises (@p933)) % 1.12/1.34 (step @p935 :rule cong :premises (@p934) :args ((forall @t1071 (or @t1384 @t1060 @t2468)))) % 1.12/1.34 (step @p936 :rule trans :premises (@p935 @p929)) % 1.12/1.34 (step @p937 :rule trans :premises (@p936 @p928)) % 1.12/1.34 (step @p938 :rule refl :args (@t2468)) % 1.12/1.34 (step @p939 :rule nary_cong :premises (@p758 @p911 @p938) :args (@t2469)) % 1.12/1.34 (step @p940 :rule cong :premises (@p939) :args ((forall @t1071 @t2469))) % 1.12/1.34 (step @p941 :rule trans :premises (@p940 @p937)) % 1.12/1.34 (step @p942 :rule aci_norm :args ((= (or @t197 @t2470) @t2469))) % 1.12/1.34 (step @p943 :rule bool-impl-elim :args (@t7 @t2470)) % 1.12/1.34 (step @p944 :rule trans :premises (@p943 @p942)) % 1.12/1.34 (step @p945 :rule cong :premises (@p944) :args ((forall @t1071 (=> @t7 @t2470)))) % 1.12/1.34 (step @p946 :rule trans :premises (@p945 @p941)) % 1.12/1.34 (step @p947 :rule cong :premises (@p768 @p796) :args (@t2471)) % 1.12/1.34 (step @p948 :rule nary_cong :premises (@p805 @p947) :args (@t2472)) % 1.12/1.34 (step @p949 :rule cong :premises (@p948) :args (@t2473)) % 1.12/1.34 (step @p950 :rule nary_cong :premises (@p887 @p949) :args (@t2474)) % 1.12/1.34 (step @p951 :rule quant-miniscope-or :args ((= (forall @t70 @t2475) @t2474))) % 1.12/1.34 (step @p952 :rule aci_norm :args ((= @t2476 @t2475))) % 1.12/1.34 (step @p953 :rule cong :premises (@p952) :args ((forall @t70 @t2476))) % 1.12/1.34 (step @p954 :rule trans :premises (@p953 @p951)) % 1.12/1.34 (step @p955 :rule trans :premises (@p954 @p950)) % 1.12/1.34 (step @p956 :rule aci_norm :args ((= (or @t2420 (or @t1060 @t2471)) @t2476))) % 1.12/1.34 (step @p957 :rule bool-impl-elim :args (@t173 @t2471)) % 1.12/1.34 (step @p958 :rule nary_cong :premises (@p879 @p957) :args ((or @t2420 @t2477))) % 1.12/1.34 (step @p959 :rule trans :premises (@p958 @p956)) % 1.12/1.34 (step @p960 :rule bool-impl-elim :args (@t21 @t2477)) % 1.12/1.34 (step @p961 :rule trans :premises (@p960 @p959)) % 1.12/1.34 (step @p962 :rule cong :premises (@p961) :args ((forall @t70 (=> @t21 @t2477)))) % 1.12/1.34 (step @p963 :rule trans :premises (@p962 @p955)) % 1.12/1.34 (step @p964 :rule eq-symm :args (@t1099 @t4)) % 1.12/1.34 (step @p965 :rule cong :premises (@p867 @p964) :args (@t1111)) % 1.12/1.34 (step @p966 :rule cong :premises (@p889 @p965) :args (@t1112)) % 1.12/1.34 (step @p967 :rule cong :premises (@p966) :args (@t1113)) % 1.12/1.34 (step @p968 :rule trans :premises (@p967 @p963)) % 1.12/1.34 (step @p969 :rule cong :premises (@p811 @p968) :args (@t1114)) % 1.12/1.34 (step @p970 :rule cong :premises (@p969) :args (@t1115)) % 1.12/1.34 (step @p971 :rule trans :premises (@p970 @p946)) % 1.12/1.34 (step @p972 :rule refl :args (tptp.iftrue)) % 1.12/1.34 (step @p973 :rule cong :premises (@p972 @p971) :args (@t1116)) % 1.12/1.34 (step @p974 :rule eq_resolve :premises (@p224 @p973)) % 1.12/1.34 (step @p975 :rule cong :premises (@p974 @p899) :args (@t2478)) % 1.12/1.34 (step @p976 :rule eq-symm :args (@t1397 @t1398)) % 1.12/1.34 (step @p977 :rule refl :args (@t1399)) % 1.12/1.34 (step @p978 :rule refl :args (@t1401)) % 1.12/1.34 (step @p979 :rule nary_cong :premises (@p978 @p977 @p976) :args (@t2480)) % 1.12/1.34 (step @p980 :rule aci_norm :args ((= @t2482 @t2480))) % 1.12/1.34 (step @p981 :rule trans :premises (@p980 @p979)) % 1.12/1.34 (step @p982 :rule cong :premises (@p981) :args (@t2483)) % 1.12/1.34 (step @p983 :rule quant-merge-prenex :args ((= (forall @t699 @t2485) @t2483))) % 1.12/1.34 (step @p984 :rule alpha_equiv :args (@t2486 (@list @t1397) @t2487)) % 1.12/1.34 (step @p985 :rule refl :args (@t1401)) % 1.12/1.34 (step @p986 :rule nary_cong :premises (@p985 @p984) :args (@t2488)) % 1.12/1.34 (step @p987 :rule quant-miniscope-or :args ((= @t2485 @t2488))) % 1.12/1.34 (step @p988 :rule trans :premises (@p987 @p986)) % 1.12/1.34 (step @p989 :rule symm :premises (@p988)) % 1.12/1.34 (step @p990 :rule cong :premises (@p989) :args ((forall @t699 (or @t1401 @t2489)))) % 1.12/1.34 (step @p991 :rule trans :premises (@p990 @p983)) % 1.12/1.34 (step @p992 :rule trans :premises (@p991 @p982)) % 1.12/1.34 (step @p993 :rule refl :args (@t2489)) % 1.12/1.34 (step @p994 :rule refl :args (@t1400)) % 1.12/1.34 (step @p995 :rule refl :args (@t760)) % 1.12/1.34 (step @p996 :rule cong :premises (@p995 @p994) :args ((= @t760 @t1400))) % 1.12/1.34 (step @p997 :rule symm :premises (@p996)) % 1.12/1.34 (step @p998 :rule eq_resolve :premises (@p995 @p997)) % 1.12/1.34 (step @p999 :rule cong :premises (@p998) :args (@t2490)) % 1.12/1.34 (step @p1000 :rule nary_cong :premises (@p999 @p993) :args (@t2491)) % 1.12/1.34 (step @p1001 :rule cong :premises (@p1000) :args ((forall @t699 @t2491))) % 1.12/1.34 (step @p1002 :rule trans :premises (@p1001 @p992)) % 1.12/1.34 (step @p1003 :rule bool-impl-elim :args (@t760 @t2489)) % 1.12/1.34 (step @p1004 :rule cong :premises (@p1003) :args ((forall @t699 (=> @t760 @t2489)))) % 1.12/1.34 (step @p1005 :rule trans :premises (@p1004 @p1002)) % 1.12/1.34 (step @p1006 :rule refl :args (@t1398)) % 1.12/1.34 (step @p1007 :rule refl :args (@t758)) % 1.12/1.34 (step @p1008 :rule cong :premises (@p1007 @p1006) :args ((= @t758 @t1398))) % 1.12/1.34 (step @p1009 :rule symm :premises (@p1008)) % 1.12/1.34 (step @p1010 :rule eq_resolve :premises (@p1007 @p1009)) % 1.12/1.34 (step @p1011 :rule cong :premises (@p768 @p1010) :args (@t2492)) % 1.12/1.34 (step @p1012 :rule refl :args (@t1734)) % 1.12/1.34 (step @p1013 :rule refl :args (@t695)) % 1.12/1.34 (step @p1014 :rule cong :premises (@p1013 @p1012) :args ((= @t695 @t1734))) % 1.12/1.34 (step @p1015 :rule symm :premises (@p1014)) % 1.12/1.34 (step @p1016 :rule eq_resolve :premises (@p1013 @p1015)) % 1.12/1.34 (step @p1017 :rule cong :premises (@p1016) :args (@t2493)) % 1.12/1.34 (step @p1018 :rule nary_cong :premises (@p1017 @p1011) :args (@t2494)) % 1.12/1.34 (step @p1019 :rule cong :premises (@p1018) :args ((forall @t9 @t2494))) % 1.12/1.34 (step @p1020 :rule bool-impl-elim :args (@t695 @t2492)) % 1.12/1.34 (step @p1021 :rule cong :premises (@p1020) :args ((forall @t9 (=> @t695 @t2492)))) % 1.12/1.34 (step @p1022 :rule trans :premises (@p1021 @p1019)) % 1.12/1.34 (step @p1023 :rule eq-symm :args (@t758 @t4)) % 1.12/1.34 (step @p1024 :rule refl :args (@t695)) % 1.12/1.34 (step @p1025 :rule cong :premises (@p1024 @p1023) :args (@t1106)) % 1.12/1.34 (step @p1026 :rule cong :premises (@p1025) :args (@t1107)) % 1.12/1.34 (step @p1027 :rule trans :premises (@p1026 @p1022)) % 1.12/1.34 (step @p1028 :rule refl :args (@t760)) % 1.12/1.34 (step @p1029 :rule cong :premises (@p1028 @p1027) :args (@t1108)) % 1.12/1.34 (step @p1030 :rule cong :premises (@p1029) :args (@t1109)) % 1.12/1.34 (step @p1031 :rule trans :premises (@p1030 @p1005)) % 1.12/1.34 (step @p1032 :rule refl :args (tptp.theeq)) % 1.12/1.34 (step @p1033 :rule cong :premises (@p1032 @p1031) :args (@t1110)) % 1.12/1.34 (step @p1034 :rule eq_resolve :premises (@p223 @p1033)) % 1.12/1.34 (step @p1035 :rule cong :premises (@p1034 @p975) :args (@t2495)) % 1.12/1.34 (step @p1036 :rule aci_norm :args ((= @t2497 @t1406))) % 1.12/1.34 (step @p1037 :rule cong :premises (@p1036) :args (@t2498)) % 1.12/1.34 (step @p1038 :rule quant-merge-prenex :args ((= (forall @t1071 @t2500) @t2498))) % 1.12/1.34 (step @p1039 :rule alpha_equiv :args (@t2501 (@list @t1403) @t2413)) % 1.12/1.34 (step @p1040 :rule nary_cong :premises (@p744 @p1039) :args (@t2502)) % 1.12/1.34 (step @p1041 :rule quant-miniscope-or :args ((= @t2500 @t2502))) % 1.12/1.34 (step @p1042 :rule trans :premises (@p1041 @p1040)) % 1.12/1.34 (step @p1043 :rule symm :premises (@p1042)) % 1.12/1.34 (step @p1044 :rule cong :premises (@p1043) :args ((forall @t1071 (or @t1384 @t2504)))) % 1.12/1.34 (step @p1045 :rule trans :premises (@p1044 @p1038)) % 1.12/1.34 (step @p1046 :rule trans :premises (@p1045 @p1037)) % 1.12/1.34 (step @p1047 :rule refl :args (@t2504)) % 1.12/1.34 (step @p1048 :rule nary_cong :premises (@p758 @p1047) :args (@t2505)) % 1.12/1.34 (step @p1049 :rule cong :premises (@p1048) :args ((forall @t1071 @t2505))) % 1.12/1.34 (step @p1050 :rule trans :premises (@p1049 @p1046)) % 1.12/1.34 (step @p1051 :rule bool-impl-elim :args (@t7 @t2504)) % 1.12/1.34 (step @p1052 :rule cong :premises (@p1051) :args ((forall @t1071 (=> @t7 @t2504)))) % 1.12/1.34 (step @p1053 :rule trans :premises (@p1052 @p1050)) % 1.12/1.34 (step @p1054 :rule refl :args ((tptp.in @t1099 @t2))) % 1.12/1.34 (step @p1055 :rule refl :args (@t2)) % 1.12/1.34 (step @p1056 :rule cong :premises (@p771 @p1055) :args (@t2503)) % 1.12/1.34 (step @p1057 :rule trans :premises (@p1056 @p1054)) % 1.12/1.34 (step @p1058 :rule ho_cong :premises (@p775 @p1055)) % 1.12/1.34 (step @p1059 :rule cong :premises (@p1058 @p1057) :args ((= (_ @t2419 @t2) @t2503))) % 1.12/1.34 (step @p1060 :rule symm :premises (@p1059)) % 1.12/1.34 (step @p1061 :rule refl :args (@t1101)) % 1.12/1.34 (step @p1062 :rule eq_resolve :premises (@p1061 @p1060)) % 1.12/1.34 (step @p1063 :rule ho_cong :premises (@p797 @p1055)) % 1.12/1.34 (step @p1064 :rule trans :premises (@p1063 @p1062)) % 1.12/1.34 (step @p1065 :rule nary_cong :premises (@p805 @p1064) :args (@t2506)) % 1.12/1.34 (step @p1066 :rule cong :premises (@p1065) :args ((forall @t70 @t2506))) % 1.12/1.34 (step @p1067 :rule bool-impl-elim :args (@t21 @t1101)) % 1.12/1.34 (step @p1068 :rule cong :premises (@p1067) :args (@t1102)) % 1.12/1.34 (step @p1069 :rule trans :premises (@p1068 @p1066)) % 1.12/1.34 (step @p1070 :rule cong :premises (@p811 @p1069) :args (@t1103)) % 1.12/1.34 (step @p1071 :rule cong :premises (@p1070) :args (@t1104)) % 1.12/1.34 (step @p1072 :rule trans :premises (@p1071 @p1053)) % 1.12/1.34 (step @p1073 :rule refl :args (tptp.ifp)) % 1.12/1.34 (step @p1074 :rule cong :premises (@p1073 @p1072) :args (@t1105)) % 1.12/1.34 (step @p1075 :rule eq_resolve :premises (@p222 @p1074)) % 1.12/1.34 (step @p1076 :rule cong :premises (@p1075 @p1035) :args (@t2507)) % 1.12/1.34 (step @p1077 :rule eq-symm :args (@t1408 @t289)) % 1.12/1.34 (step @p1078 :rule nary_cong :premises (@p887 @p1077) :args (@t2508)) % 1.12/1.34 (step @p1079 :rule refl :args (@t1409)) % 1.12/1.34 (step @p1080 :rule nary_cong :premises (@p1079 @p1078) :args (@t2509)) % 1.12/1.34 (step @p1081 :rule cong :premises (@p1080) :args (@t2510)) % 1.12/1.34 (step @p1082 :rule refl :args (@t2)) % 1.12/1.34 (step @p1083 :rule cong :premises (@p1082 @p1081) :args (@t2511)) % 1.12/1.34 (step @p1084 :rule cong :premises (@p1083) :args (@t2512)) % 1.12/1.34 (step @p1085 :rule refl :args (@t1410)) % 1.12/1.34 (step @p1086 :rule nary_cong :premises (@p904 @p1085 @p1084) :args (@t2513)) % 1.12/1.34 (step @p1087 :rule aci_norm :args ((= @t2515 @t2513))) % 1.12/1.34 (step @p1088 :rule trans :premises (@p1087 @p1086)) % 1.12/1.34 (step @p1089 :rule cong :premises (@p1088) :args (@t2516)) % 1.12/1.34 (step @p1090 :rule quant-merge-prenex :args ((= (forall @t1071 @t2518) @t2516))) % 1.12/1.34 (step @p1091 :rule alpha_equiv :args (@t2519 (@list @t1408) @t2413)) % 1.12/1.34 (step @p1092 :rule nary_cong :premises (@p744 @p1091) :args (@t2520)) % 1.12/1.34 (step @p1093 :rule quant-miniscope-or :args ((= @t2518 @t2520))) % 1.12/1.34 (step @p1094 :rule trans :premises (@p1093 @p1092)) % 1.12/1.34 (step @p1095 :rule symm :premises (@p1094)) % 1.12/1.34 (step @p1096 :rule cong :premises (@p1095) :args ((forall @t1071 (or @t1384 @t2524)))) % 1.12/1.34 (step @p1097 :rule trans :premises (@p1096 @p1090)) % 1.12/1.34 (step @p1098 :rule trans :premises (@p1097 @p1089)) % 1.12/1.34 (step @p1099 :rule refl :args (@t2524)) % 1.12/1.34 (step @p1100 :rule nary_cong :premises (@p758 @p1099) :args (@t2525)) % 1.12/1.34 (step @p1101 :rule cong :premises (@p1100) :args ((forall @t1071 @t2525))) % 1.12/1.34 (step @p1102 :rule trans :premises (@p1101 @p1098)) % 1.12/1.34 (step @p1103 :rule bool-impl-elim :args (@t7 @t2524)) % 1.12/1.34 (step @p1104 :rule cong :premises (@p1103) :args ((forall @t1071 (=> @t7 @t2524)))) % 1.12/1.34 (step @p1105 :rule trans :premises (@p1104 @p1102)) % 1.12/1.34 (step @p1106 :rule refl :args ((tptp.singleton @t2526))) % 1.12/1.34 (step @p1107 :rule refl :args (@t2522)) % 1.12/1.34 (step @p1108 :rule cong :premises (@p1107) :args (@t2523)) % 1.12/1.34 (step @p1109 :rule trans :premises (@p1108 @p1106)) % 1.12/1.34 (step @p1110 :rule refl :args (tptp.singleton)) % 1.12/1.34 (step @p1111 :rule ho_cong :premises (@p1110 @p1107)) % 1.12/1.34 (step @p1112 :rule cong :premises (@p1111 @p1109) :args ((= (_ tptp.singleton @t2522) @t2523))) % 1.12/1.34 (step @p1113 :rule symm :premises (@p1112)) % 1.12/1.34 (step @p1114 :rule refl :args (@t2527)) % 1.12/1.34 (step @p1115 :rule eq_resolve :premises (@p1114 @p1113)) % 1.12/1.34 (step @p1116 :rule refl :args (@t2526)) % 1.12/1.34 (step @p1117 :rule cong :premises (@p1116 @p1107) :args ((= @t2526 @t2522))) % 1.12/1.34 (step @p1118 :rule symm :premises (@p1117)) % 1.12/1.34 (step @p1119 :rule eq_resolve :premises (@p1116 @p1118)) % 1.12/1.34 (step @p1120 :rule ho_cong :premises (@p1110 @p1119)) % 1.12/1.34 (step @p1121 :rule trans :premises (@p1120 @p1115)) % 1.12/1.34 (step @p1122 :rule nary_cong :premises (@p805 @p1121) :args (@t2528)) % 1.12/1.34 (step @p1123 :rule cong :premises (@p1122) :args ((forall @t70 @t2528))) % 1.12/1.34 (step @p1124 :rule bool-impl-elim :args (@t21 @t2527)) % 1.12/1.34 (step @p1125 :rule cong :premises (@p1124) :args ((forall @t70 (=> @t21 @t2527)))) % 1.12/1.34 (step @p1126 :rule trans :premises (@p1125 @p1123)) % 1.12/1.34 (step @p1127 :rule eq-symm :args (@t289 @t19)) % 1.12/1.34 (step @p1128 :rule nary_cong :premises (@p887 @p1127) :args (@t1061)) % 1.12/1.34 (step @p1129 :rule eq-symm :args (@t289 @t4)) % 1.12/1.34 (step @p1130 :rule nary_cong :premises (@p867 @p1129) :args (@t1062)) % 1.12/1.34 (step @p1131 :rule nary_cong :premises (@p1130 @p1128) :args (@t1063)) % 1.12/1.34 (step @p1132 :rule cong :premises (@p1131) :args (@t1065)) % 1.12/1.34 (step @p1133 :rule refl :args (@t155)) % 1.12/1.34 (step @p1134 :rule ho_cong :premises (@p1133 @p1132)) % 1.12/1.34 (step @p1135 :rule refl :args (tptp.singleton)) % 1.12/1.34 (step @p1136 :rule ho_cong :premises (@p1135 @p1134)) % 1.12/1.34 (step @p1137 :rule cong :premises (@p889 @p1136) :args (@t1094)) % 1.12/1.34 (step @p1138 :rule cong :premises (@p1137) :args (@t1095)) % 1.12/1.34 (step @p1139 :rule trans :premises (@p1138 @p1126)) % 1.12/1.34 (step @p1140 :rule cong :premises (@p811 @p1139) :args (@t1096)) % 1.12/1.34 (step @p1141 :rule cong :premises (@p1140) :args (@t1097)) % 1.12/1.34 (step @p1142 :rule trans :premises (@p1141 @p1105)) % 1.12/1.34 (step @p1143 :rule refl :args (tptp.ifSingleton)) % 1.12/1.34 (step @p1144 :rule cong :premises (@p1143 @p1142) :args (@t1098)) % 1.12/1.34 (step @p1145 :rule eq_resolve :premises (@p221 @p1144)) % 1.12/1.34 (step @p1146 :rule cong :premises (@p1145 @p1076) :args (@t2529)) % 1.12/1.34 (step @p1147 :rule aci_norm :args ((= (or @t1384 false @t1416 @t1414) @t1417))) % 1.12/1.34 (step @p1148 :rule aci_norm :args ((= (or @t743 false) @t743))) % 1.12/1.34 (step @p1149 :rule absorb :args ((= (and false @t2530) false))) % 1.12/1.34 (step @p1150 :rule refl :args (@t2530)) % 1.12/1.34 (step @p1151 :rule nary_cong :premises (@p903 @p1150) :args (@t2531)) % 1.12/1.34 (step @p1152 :rule trans :premises (@p1151 @p1149)) % 1.12/1.34 (step @p1153 :rule aci_norm :args ((= @t2532 @t743))) % 1.12/1.34 (step @p1154 :rule nary_cong :premises (@p1153 @p1152) :args (@t2533)) % 1.12/1.34 (step @p1155 :rule trans :premises (@p1154 @p1148)) % 1.12/1.34 (step @p1156 :rule cong :premises (@p1155) :args (@t2534)) % 1.12/1.34 (step @p1157 :rule cong :premises (@p1082 @p1156) :args (@t2535)) % 1.12/1.34 (step @p1158 :rule refl :args (@t1413)) % 1.12/1.34 (step @p1159 :rule cong :premises (@p1158 @p1157) :args (@t2536)) % 1.12/1.34 (step @p1160 :rule refl :args (@t1416)) % 1.12/1.34 (step @p1161 :rule nary_cong :premises (@p904 @p903 @p1160 @p1159) :args (@t2537)) % 1.12/1.34 (step @p1162 :rule trans :premises (@p1161 @p1147)) % 1.12/1.34 (step @p1163 :rule cong :premises (@p1162) :args ((forall @t1418 @t2537))) % 1.12/1.34 (step @p1164 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2454 @t1384 @t1060 @t1416 @t2538)) @t2537))) % 1.12/1.34 (step @p1165 :rule refl :args (@t2538)) % 1.12/1.34 (step @p1166 :rule refl :args (@t1416)) % 1.12/1.34 (step @p1167 :rule nary_cong :premises (@p914 @p744 @p911 @p1166 @p1165) :args (@t2539)) % 1.12/1.34 (step @p1168 :rule aci_norm :args ((= @t2540 @t2539))) % 1.12/1.34 (step @p1169 :rule trans :premises (@p1168 @p1167)) % 1.12/1.34 (step @p1170 :rule cong :premises (@p1169) :args (@t2541)) % 1.12/1.34 (step @p1171 :rule trans :premises (@p1170 @p1164)) % 1.12/1.34 (step @p1172 :rule cong :premises (@p1171) :args (@t2542)) % 1.12/1.34 (step @p1173 :rule quant-merge-prenex :args ((= @t2542 @t2543))) % 1.12/1.34 (step @p1174 :rule symm :premises (@p1173)) % 1.12/1.34 (step @p1175 :rule quant_var_reordering :args ((= (forall @t2544 @t2540) @t2543))) % 1.12/1.34 (step @p1176 :rule trans :premises (@p1175 @p1174 @p1172)) % 1.12/1.34 (step @p1177 :rule trans :premises (@p1176 @p1163)) % 1.12/1.34 (step @p1178 :rule eq-symm :args (@t1415 @t289)) % 1.12/1.34 (step @p1179 :rule nary_cong :premises (@p887 @p1178) :args (@t2545)) % 1.12/1.34 (step @p1180 :rule nary_cong :premises (@p1079 @p1179) :args (@t2546)) % 1.12/1.34 (step @p1181 :rule cong :premises (@p1180) :args (@t2547)) % 1.12/1.34 (step @p1182 :rule cong :premises (@p1082 @p1181) :args (@t2548)) % 1.12/1.34 (step @p1183 :rule cong :premises (@p1158 @p1182) :args (@t2549)) % 1.12/1.34 (step @p1184 :rule nary_cong :premises (@p904 @p887 @p1160 @p1183) :args (@t2550)) % 1.12/1.34 (step @p1185 :rule aci_norm :args ((= @t2552 @t2550))) % 1.12/1.34 (step @p1186 :rule trans :premises (@p1185 @p1184)) % 1.12/1.34 (step @p1187 :rule cong :premises (@p1186) :args (@t2553)) % 1.12/1.34 (step @p1188 :rule trans :premises (@p1187 @p1177)) % 1.12/1.34 (step @p1189 :rule quant-merge-prenex :args ((= (forall @t1071 @t2555) @t2553))) % 1.12/1.34 (step @p1190 :rule alpha_equiv :args (@t2556 (@list @t1415) @t2413)) % 1.12/1.34 (step @p1191 :rule nary_cong :premises (@p744 @p911 @p1190) :args (@t2557)) % 1.12/1.34 (step @p1192 :rule quant-miniscope-or :args ((= @t2555 @t2557))) % 1.12/1.34 (step @p1193 :rule trans :premises (@p1192 @p1191)) % 1.12/1.34 (step @p1194 :rule symm :premises (@p1193)) % 1.12/1.34 (step @p1195 :rule cong :premises (@p1194) :args ((forall @t1071 (or @t1384 @t1060 @t2558)))) % 1.12/1.34 (step @p1196 :rule trans :premises (@p1195 @p1189)) % 1.12/1.34 (step @p1197 :rule trans :premises (@p1196 @p1188)) % 1.12/1.34 (step @p1198 :rule refl :args (@t2558)) % 1.12/1.34 (step @p1199 :rule nary_cong :premises (@p758 @p911 @p1198) :args (@t2559)) % 1.12/1.34 (step @p1200 :rule cong :premises (@p1199) :args ((forall @t1071 @t2559))) % 1.12/1.34 (step @p1201 :rule trans :premises (@p1200 @p1197)) % 1.12/1.34 (step @p1202 :rule aci_norm :args ((= (or @t197 @t2560) @t2559))) % 1.12/1.34 (step @p1203 :rule bool-impl-elim :args (@t7 @t2560)) % 1.12/1.34 (step @p1204 :rule trans :premises (@p1203 @p1202)) % 1.12/1.34 (step @p1205 :rule cong :premises (@p1204) :args ((forall @t1071 (=> @t7 @t2560)))) % 1.12/1.34 (step @p1206 :rule trans :premises (@p1205 @p1201)) % 1.12/1.34 (step @p1207 :rule refl :args (@t1413)) % 1.12/1.34 (step @p1208 :rule refl :args (@t279)) % 1.12/1.34 (step @p1209 :rule cong :premises (@p1208 @p1207) :args ((= @t279 @t1413))) % 1.12/1.34 (step @p1210 :rule symm :premises (@p1209)) % 1.12/1.34 (step @p1211 :rule eq_resolve :premises (@p1208 @p1210)) % 1.12/1.34 (step @p1212 :rule cong :premises (@p1211 @p1119) :args (@t2561)) % 1.12/1.34 (step @p1213 :rule nary_cong :premises (@p805 @p1212) :args (@t2562)) % 1.12/1.34 (step @p1214 :rule cong :premises (@p1213) :args (@t2563)) % 1.12/1.34 (step @p1215 :rule nary_cong :premises (@p887 @p1214) :args (@t2564)) % 1.12/1.34 (step @p1216 :rule quant-miniscope-or :args ((= (forall @t70 @t2565) @t2564))) % 1.12/1.34 (step @p1217 :rule aci_norm :args ((= @t2566 @t2565))) % 1.12/1.34 (step @p1218 :rule cong :premises (@p1217) :args ((forall @t70 @t2566))) % 1.12/1.34 (step @p1219 :rule trans :premises (@p1218 @p1216)) % 1.12/1.34 (step @p1220 :rule trans :premises (@p1219 @p1215)) % 1.12/1.34 (step @p1221 :rule aci_norm :args ((= (or @t2420 (or @t1060 @t2561)) @t2566))) % 1.12/1.34 (step @p1222 :rule bool-impl-elim :args (@t173 @t2561)) % 1.12/1.34 (step @p1223 :rule nary_cong :premises (@p879 @p1222) :args ((or @t2420 @t2567))) % 1.12/1.34 (step @p1224 :rule trans :premises (@p1223 @p1221)) % 1.12/1.34 (step @p1225 :rule bool-impl-elim :args (@t21 @t2567)) % 1.12/1.34 (step @p1226 :rule trans :premises (@p1225 @p1224)) % 1.12/1.34 (step @p1227 :rule cong :premises (@p1226) :args ((forall @t70 (=> @t21 @t2567)))) % 1.12/1.34 (step @p1228 :rule trans :premises (@p1227 @p1220)) % 1.12/1.34 (step @p1229 :rule eq-symm :args (@t2526 @t279)) % 1.12/1.34 (step @p1230 :rule refl :args (@t279)) % 1.12/1.34 (step @p1231 :rule cong :premises (@p1134 @p1230) :args (@t1087)) % 1.12/1.34 (step @p1232 :rule trans :premises (@p1231 @p1229)) % 1.12/1.34 (step @p1233 :rule cong :premises (@p867 @p1232) :args (@t1088)) % 1.12/1.34 (step @p1234 :rule cong :premises (@p889 @p1233) :args (@t1089)) % 1.12/1.34 (step @p1235 :rule cong :premises (@p1234) :args (@t1090)) % 1.12/1.34 (step @p1236 :rule trans :premises (@p1235 @p1228)) % 1.12/1.34 (step @p1237 :rule cong :premises (@p811 @p1236) :args (@t1091)) % 1.12/1.34 (step @p1238 :rule cong :premises (@p1237) :args (@t1092)) % 1.12/1.34 (step @p1239 :rule trans :premises (@p1238 @p1206)) % 1.12/1.34 (step @p1240 :rule refl :args (tptp.iftrueProp2)) % 1.12/1.34 (step @p1241 :rule cong :premises (@p1240 @p1239) :args (@t1093)) % 1.12/1.34 (step @p1242 :rule eq_resolve :premises (@p220 @p1241)) % 1.12/1.34 (step @p1243 :rule cong :premises (@p1242 @p1146) :args (@t2568)) % 1.12/1.34 (step @p1244 :rule aci_norm :args ((= (or @t1384 false @t1421 @t1419) @t1422))) % 1.12/1.34 (step @p1245 :rule absorb :args ((= (and false @t2569) false))) % 1.12/1.34 (step @p1246 :rule refl :args (@t2569)) % 1.12/1.34 (step @p1247 :rule nary_cong :premises (@p903 @p1246) :args (@t2570)) % 1.12/1.34 (step @p1248 :rule trans :premises (@p1247 @p1245)) % 1.12/1.34 (step @p1249 :rule nary_cong :premises (@p1153 @p1248) :args (@t2571)) % 1.12/1.34 (step @p1250 :rule trans :premises (@p1249 @p1148)) % 1.12/1.34 (step @p1251 :rule cong :premises (@p1250) :args (@t2572)) % 1.12/1.34 (step @p1252 :rule cong :premises (@p1082 @p1251) :args (@t2573)) % 1.12/1.34 (step @p1253 :rule refl :args (@t4)) % 1.12/1.34 (step @p1254 :rule cong :premises (@p1253 @p1252) :args (@t2574)) % 1.12/1.34 (step @p1255 :rule refl :args (@t1421)) % 1.12/1.34 (step @p1256 :rule nary_cong :premises (@p904 @p903 @p1255 @p1254) :args (@t2575)) % 1.12/1.34 (step @p1257 :rule trans :premises (@p1256 @p1244)) % 1.12/1.34 (step @p1258 :rule cong :premises (@p1257) :args ((forall @t1423 @t2575))) % 1.12/1.34 (step @p1259 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2454 @t1384 @t1060 @t1421 @t2576)) @t2575))) % 1.12/1.34 (step @p1260 :rule refl :args (@t2576)) % 1.12/1.34 (step @p1261 :rule refl :args (@t1421)) % 1.12/1.34 (step @p1262 :rule nary_cong :premises (@p914 @p744 @p911 @p1261 @p1260) :args (@t2577)) % 1.12/1.34 (step @p1263 :rule aci_norm :args ((= @t2578 @t2577))) % 1.12/1.34 (step @p1264 :rule trans :premises (@p1263 @p1262)) % 1.12/1.34 (step @p1265 :rule cong :premises (@p1264) :args (@t2579)) % 1.12/1.34 (step @p1266 :rule trans :premises (@p1265 @p1259)) % 1.12/1.34 (step @p1267 :rule cong :premises (@p1266) :args (@t2580)) % 1.12/1.34 (step @p1268 :rule quant-merge-prenex :args ((= @t2580 @t2581))) % 1.12/1.34 (step @p1269 :rule symm :premises (@p1268)) % 1.12/1.34 (step @p1270 :rule quant_var_reordering :args ((= (forall @t2582 @t2578) @t2581))) % 1.12/1.34 (step @p1271 :rule trans :premises (@p1270 @p1269 @p1267)) % 1.12/1.34 (step @p1272 :rule trans :premises (@p1271 @p1258)) % 1.12/1.34 (step @p1273 :rule eq-symm :args (@t1420 @t289)) % 1.12/1.35 (step @p1274 :rule nary_cong :premises (@p887 @p1273) :args (@t2583)) % 1.12/1.35 (step @p1275 :rule nary_cong :premises (@p1079 @p1274) :args (@t2584)) % 1.12/1.35 (step @p1276 :rule cong :premises (@p1275) :args (@t2585)) % 1.12/1.35 (step @p1277 :rule cong :premises (@p1082 @p1276) :args (@t2586)) % 1.12/1.35 (step @p1278 :rule cong :premises (@p1253 @p1277) :args (@t2587)) % 1.12/1.35 (step @p1279 :rule nary_cong :premises (@p904 @p887 @p1255 @p1278) :args (@t2588)) % 1.12/1.35 (step @p1280 :rule aci_norm :args ((= @t2590 @t2588))) % 1.12/1.35 (step @p1281 :rule trans :premises (@p1280 @p1279)) % 1.12/1.35 (step @p1282 :rule cong :premises (@p1281) :args (@t2591)) % 1.12/1.35 (step @p1283 :rule trans :premises (@p1282 @p1272)) % 1.12/1.35 (step @p1284 :rule quant-merge-prenex :args ((= (forall @t1071 @t2593) @t2591))) % 1.12/1.35 (step @p1285 :rule alpha_equiv :args (@t2594 (@list @t1420) @t2413)) % 1.12/1.35 (step @p1286 :rule nary_cong :premises (@p744 @p911 @p1285) :args (@t2595)) % 1.12/1.35 (step @p1287 :rule quant-miniscope-or :args ((= @t2593 @t2595))) % 1.12/1.35 (step @p1288 :rule trans :premises (@p1287 @p1286)) % 1.12/1.35 (step @p1289 :rule symm :premises (@p1288)) % 1.12/1.35 (step @p1290 :rule cong :premises (@p1289) :args ((forall @t1071 (or @t1384 @t1060 @t2597)))) % 1.12/1.35 (step @p1291 :rule trans :premises (@p1290 @p1284)) % 1.12/1.35 (step @p1292 :rule trans :premises (@p1291 @p1283)) % 1.12/1.35 (step @p1293 :rule refl :args (@t2597)) % 1.12/1.35 (step @p1294 :rule nary_cong :premises (@p758 @p911 @p1293) :args (@t2598)) % 1.12/1.35 (step @p1295 :rule cong :premises (@p1294) :args ((forall @t1071 @t2598))) % 1.12/1.35 (step @p1296 :rule trans :premises (@p1295 @p1292)) % 1.12/1.35 (step @p1297 :rule aci_norm :args ((= (or @t197 @t2599) @t2598))) % 1.12/1.35 (step @p1298 :rule bool-impl-elim :args (@t7 @t2599)) % 1.12/1.35 (step @p1299 :rule trans :premises (@p1298 @p1297)) % 1.12/1.35 (step @p1300 :rule cong :premises (@p1299) :args ((forall @t1071 (=> @t7 @t2599)))) % 1.12/1.35 (step @p1301 :rule trans :premises (@p1300 @p1296)) % 1.12/1.35 (step @p1302 :rule refl :args ((tptp.in @t4 @t2526))) % 1.12/1.35 (step @p1303 :rule cong :premises (@p768 @p1107) :args (@t2596)) % 1.12/1.35 (step @p1304 :rule trans :premises (@p1303 @p1302)) % 1.12/1.35 (step @p1305 :rule refl :args (@t5)) % 1.12/1.35 (step @p1306 :rule ho_cong :premises (@p1305 @p1107)) % 1.12/1.35 (step @p1307 :rule cong :premises (@p1306 @p1304) :args ((= (_ @t5 @t2522) @t2596))) % 1.12/1.35 (step @p1308 :rule symm :premises (@p1307)) % 1.12/1.35 (step @p1309 :rule refl :args (@t2600)) % 1.12/1.35 (step @p1310 :rule eq_resolve :premises (@p1309 @p1308)) % 1.12/1.35 (step @p1311 :rule ho_cong :premises (@p1305 @p1119)) % 1.12/1.35 (step @p1312 :rule trans :premises (@p1311 @p1310)) % 1.12/1.35 (step @p1313 :rule nary_cong :premises (@p805 @p1312) :args (@t2601)) % 1.12/1.35 (step @p1314 :rule cong :premises (@p1313) :args (@t2602)) % 1.12/1.35 (step @p1315 :rule nary_cong :premises (@p887 @p1314) :args (@t2603)) % 1.12/1.35 (step @p1316 :rule quant-miniscope-or :args ((= (forall @t70 @t2604) @t2603))) % 1.12/1.35 (step @p1317 :rule aci_norm :args ((= @t2605 @t2604))) % 1.12/1.35 (step @p1318 :rule cong :premises (@p1317) :args ((forall @t70 @t2605))) % 1.12/1.35 (step @p1319 :rule trans :premises (@p1318 @p1316)) % 1.12/1.35 (step @p1320 :rule trans :premises (@p1319 @p1315)) % 1.12/1.35 (step @p1321 :rule aci_norm :args ((= (or @t2420 (or @t1060 @t2600)) @t2605))) % 1.12/1.35 (step @p1322 :rule bool-impl-elim :args (@t173 @t2600)) % 1.12/1.35 (step @p1323 :rule nary_cong :premises (@p879 @p1322) :args ((or @t2420 @t2606))) % 1.12/1.35 (step @p1324 :rule trans :premises (@p1323 @p1321)) % 1.12/1.35 (step @p1325 :rule bool-impl-elim :args (@t21 @t2606)) % 1.12/1.35 (step @p1326 :rule trans :premises (@p1325 @p1324)) % 1.12/1.35 (step @p1327 :rule cong :premises (@p1326) :args ((forall @t70 (=> @t21 @t2606)))) % 1.12/1.35 (step @p1328 :rule trans :premises (@p1327 @p1320)) % 1.12/1.35 (step @p1329 :rule refl :args (@t5)) % 1.12/1.35 (step @p1330 :rule ho_cong :premises (@p1329 @p1134)) % 1.12/1.35 (step @p1331 :rule cong :premises (@p867 @p1330) :args (@t1081)) % 1.12/1.35 (step @p1332 :rule cong :premises (@p889 @p1331) :args (@t1082)) % 1.12/1.35 (step @p1333 :rule cong :premises (@p1332) :args (@t1083)) % 1.12/1.35 (step @p1334 :rule trans :premises (@p1333 @p1328)) % 1.12/1.35 (step @p1335 :rule cong :premises (@p811 @p1334) :args (@t1084)) % 1.12/1.35 (step @p1336 :rule cong :premises (@p1335) :args (@t1085)) % 1.12/1.35 (step @p1337 :rule trans :premises (@p1336 @p1301)) % 1.12/1.35 (step @p1338 :rule refl :args (tptp.iftrueProp1)) % 1.12/1.35 (step @p1339 :rule cong :premises (@p1338 @p1337) :args (@t1086)) % 1.12/1.35 (step @p1340 :rule eq_resolve :premises (@p219 @p1339)) % 1.12/1.35 (step @p1341 :rule cong :premises (@p1340 @p1243) :args (@t2607)) % 1.12/1.35 (step @p1342 :rule aci_norm :args ((= (or false @t1425) @t1425))) % 1.12/1.35 (step @p1343 :rule aci_norm :args ((= (and true @t1425) @t1425))) % 1.12/1.35 (step @p1344 :rule refl :args (@t1425)) % 1.12/1.35 (step @p1345 :rule evaluate :args (@t2608)) % 1.12/1.35 (step @p1346 :rule nary_cong :premises (@p1345 @p1344) :args (@t2609)) % 1.12/1.35 (step @p1347 :rule trans :premises (@p1346 @p1343)) % 1.12/1.35 (step @p1348 :rule absorb :args ((= @t2610 false))) % 1.12/1.35 (step @p1349 :rule nary_cong :premises (@p1348 @p1347) :args (@t2611)) % 1.12/1.35 (step @p1350 :rule trans :premises (@p1349 @p1342)) % 1.12/1.35 (step @p1351 :rule cong :premises (@p1350) :args (@t2612)) % 1.12/1.35 (step @p1352 :rule cong :premises (@p1082 @p1351) :args (@t2613)) % 1.12/1.35 (step @p1353 :rule refl :args (@t1426)) % 1.12/1.35 (step @p1354 :rule cong :premises (@p1353 @p1352) :args (@t2614)) % 1.12/1.35 (step @p1355 :rule refl :args (@t1427)) % 1.12/1.35 (step @p1356 :rule nary_cong :premises (@p904 @p1355 @p1354) :args (@t2615)) % 1.12/1.35 (step @p1357 :rule aci_norm :args ((= @t2616 @t2615))) % 1.12/1.35 (step @p1358 :rule trans :premises (@p1357 @p1356)) % 1.12/1.35 (step @p1359 :rule cong :premises (@p1358) :args ((forall @t1428 @t2616))) % 1.12/1.35 (step @p1360 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t1384 @t173 @t1427 @t2617)) @t2616))) % 1.12/1.35 (step @p1361 :rule refl :args (@t2617)) % 1.12/1.35 (step @p1362 :rule refl :args (@t1427)) % 1.12/1.35 (step @p1363 :rule nary_cong :premises (@p830 @p744 @p824 @p1362 @p1361) :args (@t2618)) % 1.12/1.35 (step @p1364 :rule aci_norm :args ((= @t2619 @t2618))) % 1.12/1.35 (step @p1365 :rule trans :premises (@p1364 @p1363)) % 1.12/1.35 (step @p1366 :rule cong :premises (@p1365) :args (@t2620)) % 1.12/1.35 (step @p1367 :rule trans :premises (@p1366 @p1360)) % 1.12/1.35 (step @p1368 :rule cong :premises (@p1367) :args (@t2621)) % 1.12/1.35 (step @p1369 :rule quant-merge-prenex :args ((= @t2621 @t2622))) % 1.12/1.35 (step @p1370 :rule symm :premises (@p1369)) % 1.12/1.35 (step @p1371 :rule quant_var_reordering :args ((= (forall @t2623 @t2619) @t2622))) % 1.12/1.35 (step @p1372 :rule trans :premises (@p1371 @p1370 @p1368)) % 1.12/1.35 (step @p1373 :rule trans :premises (@p1372 @p1359)) % 1.12/1.35 (step @p1374 :rule eq-symm :args (@t1424 @t289)) % 1.12/1.35 (step @p1375 :rule nary_cong :premises (@p887 @p1374) :args (@t2624)) % 1.12/1.35 (step @p1376 :rule nary_cong :premises (@p1079 @p1375) :args (@t2625)) % 1.12/1.35 (step @p1377 :rule cong :premises (@p1376) :args (@t2626)) % 1.12/1.35 (step @p1378 :rule cong :premises (@p1082 @p1377) :args (@t2627)) % 1.12/1.35 (step @p1379 :rule cong :premises (@p1353 @p1378) :args (@t2628)) % 1.12/1.35 (step @p1380 :rule nary_cong :premises (@p904 @p867 @p1355 @p1379) :args (@t2629)) % 1.12/1.35 (step @p1381 :rule aci_norm :args ((= @t2631 @t2629))) % 1.12/1.35 (step @p1382 :rule trans :premises (@p1381 @p1380)) % 1.12/1.35 (step @p1383 :rule cong :premises (@p1382) :args (@t2632)) % 1.12/1.35 (step @p1384 :rule trans :premises (@p1383 @p1373)) % 1.12/1.35 (step @p1385 :rule quant-merge-prenex :args ((= (forall @t1071 @t2634) @t2632))) % 1.12/1.35 (step @p1386 :rule alpha_equiv :args (@t2635 (@list @t1424) @t2413)) % 1.12/1.35 (step @p1387 :rule nary_cong :premises (@p744 @p824 @p1386) :args (@t2636)) % 1.12/1.35 (step @p1388 :rule quant-miniscope-or :args ((= @t2634 @t2636))) % 1.12/1.35 (step @p1389 :rule trans :premises (@p1388 @p1387)) % 1.12/1.35 (step @p1390 :rule symm :premises (@p1389)) % 1.12/1.35 (step @p1391 :rule cong :premises (@p1390) :args ((forall @t1071 (or @t1384 @t173 @t2637)))) % 1.12/1.35 (step @p1392 :rule trans :premises (@p1391 @p1385)) % 1.12/1.35 (step @p1393 :rule trans :premises (@p1392 @p1384)) % 1.12/1.35 (step @p1394 :rule refl :args (@t2637)) % 1.12/1.35 (step @p1395 :rule nary_cong :premises (@p758 @p824 @p1394) :args (@t2638)) % 1.12/1.35 (step @p1396 :rule cong :premises (@p1395) :args ((forall @t1071 @t2638))) % 1.12/1.35 (step @p1397 :rule trans :premises (@p1396 @p1393)) % 1.12/1.35 (step @p1398 :rule aci_norm :args ((= (or @t197 @t2639) @t2638))) % 1.12/1.35 (step @p1399 :rule bool-impl-elim :args (@t7 @t2639)) % 1.12/1.35 (step @p1400 :rule trans :premises (@p1399 @p1398)) % 1.12/1.35 (step @p1401 :rule cong :premises (@p1400) :args ((forall @t1071 (=> @t7 @t2639)))) % 1.12/1.35 (step @p1402 :rule trans :premises (@p1401 @p1397)) % 1.12/1.35 (step @p1403 :rule cong :premises (@p790 @p1119) :args (@t2640)) % 1.12/1.35 (step @p1404 :rule nary_cong :premises (@p805 @p1403) :args (@t2641)) % 1.12/1.35 (step @p1405 :rule cong :premises (@p1404) :args (@t2642)) % 1.12/1.35 (step @p1406 :rule nary_cong :premises (@p867 @p1405) :args (@t2643)) % 1.12/1.35 (step @p1407 :rule quant-miniscope-or :args ((= (forall @t70 @t2644) @t2643))) % 1.12/1.35 (step @p1408 :rule aci_norm :args ((= @t2645 @t2644))) % 1.12/1.35 (step @p1409 :rule cong :premises (@p1408) :args ((forall @t70 @t2645))) % 1.12/1.35 (step @p1410 :rule trans :premises (@p1409 @p1407)) % 1.12/1.35 (step @p1411 :rule trans :premises (@p1410 @p1406)) % 1.12/1.35 (step @p1412 :rule aci_norm :args ((= (or @t2420 (or @t173 @t2640)) @t2645))) % 1.12/1.35 (step @p1413 :rule refl :args (@t2640)) % 1.12/1.35 (step @p1414 :rule nary_cong :premises (@p828 @p1413) :args ((or @t2426 @t2640))) % 1.12/1.35 (step @p1415 :rule bool-impl-elim :args (@t1060 @t2640)) % 1.12/1.35 (step @p1416 :rule trans :premises (@p1415 @p1414)) % 1.12/1.35 (step @p1417 :rule nary_cong :premises (@p879 @p1416) :args ((or @t2420 @t2646))) % 1.12/1.35 (step @p1418 :rule trans :premises (@p1417 @p1412)) % 1.12/1.35 (step @p1419 :rule bool-impl-elim :args (@t21 @t2646)) % 1.12/1.35 (step @p1420 :rule trans :premises (@p1419 @p1418)) % 1.12/1.35 (step @p1421 :rule cong :premises (@p1420) :args ((forall @t70 (=> @t21 @t2646)))) % 1.12/1.35 (step @p1422 :rule trans :premises (@p1421 @p1411)) % 1.12/1.35 (step @p1423 :rule eq-symm :args (@t2526 @t275)) % 1.12/1.35 (step @p1424 :rule refl :args (@t275)) % 1.12/1.35 (step @p1425 :rule cong :premises (@p1134 @p1424) :args (@t1074)) % 1.12/1.35 (step @p1426 :rule trans :premises (@p1425 @p1423)) % 1.12/1.35 (step @p1427 :rule cong :premises (@p887 @p1426) :args (@t1075)) % 1.12/1.35 (step @p1428 :rule cong :premises (@p889 @p1427) :args (@t1076)) % 1.12/1.35 (step @p1429 :rule cong :premises (@p1428) :args (@t1077)) % 1.12/1.35 (step @p1430 :rule trans :premises (@p1429 @p1422)) % 1.12/1.35 (step @p1431 :rule cong :premises (@p811 @p1430) :args (@t1078)) % 1.12/1.35 (step @p1432 :rule cong :premises (@p1431) :args (@t1079)) % 1.12/1.35 (step @p1433 :rule trans :premises (@p1432 @p1402)) % 1.12/1.35 (step @p1434 :rule refl :args (tptp.iffalseProp2)) % 1.12/1.35 (step @p1435 :rule cong :premises (@p1434 @p1433) :args (@t1080)) % 1.12/1.35 (step @p1436 :rule eq_resolve :premises (@p218 @p1435)) % 1.12/1.35 (step @p1437 :rule cong :premises (@p1436 @p1341) :args (@t2647)) % 1.12/1.35 (step @p1438 :rule aci_norm :args ((= (or false @t1430) @t1430))) % 1.12/1.35 (step @p1439 :rule aci_norm :args ((= (and true @t1430) @t1430))) % 1.12/1.35 (step @p1440 :rule refl :args (@t1430)) % 1.12/1.35 (step @p1441 :rule nary_cong :premises (@p1345 @p1440) :args (@t2648)) % 1.12/1.35 (step @p1442 :rule trans :premises (@p1441 @p1439)) % 1.12/1.35 (step @p1443 :rule nary_cong :premises (@p1348 @p1442) :args (@t2649)) % 1.12/1.35 (step @p1444 :rule trans :premises (@p1443 @p1438)) % 1.12/1.35 (step @p1445 :rule cong :premises (@p1444) :args (@t2650)) % 1.12/1.35 (step @p1446 :rule cong :premises (@p1082 @p1445) :args (@t2651)) % 1.12/1.35 (step @p1447 :rule refl :args (@t1429)) % 1.12/1.35 (step @p1448 :rule cong :premises (@p1447 @p1446) :args (@t2652)) % 1.12/1.35 (step @p1449 :rule refl :args (@t1431)) % 1.12/1.35 (step @p1450 :rule nary_cong :premises (@p904 @p1449 @p1448) :args (@t2653)) % 1.12/1.35 (step @p1451 :rule aci_norm :args ((= @t2654 @t2653))) % 1.12/1.35 (step @p1452 :rule trans :premises (@p1451 @p1450)) % 1.12/1.35 (step @p1453 :rule cong :premises (@p1452) :args ((forall @t1432 @t2654))) % 1.12/1.35 (step @p1454 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t1384 @t173 @t1431 @t2655)) @t2654))) % 1.12/1.35 (step @p1455 :rule refl :args (@t2655)) % 1.12/1.35 (step @p1456 :rule refl :args (@t1431)) % 1.12/1.35 (step @p1457 :rule nary_cong :premises (@p830 @p744 @p824 @p1456 @p1455) :args (@t2656)) % 1.12/1.35 (step @p1458 :rule aci_norm :args ((= @t2657 @t2656))) % 1.12/1.35 (step @p1459 :rule trans :premises (@p1458 @p1457)) % 1.12/1.35 (step @p1460 :rule cong :premises (@p1459) :args (@t2658)) % 1.12/1.35 (step @p1461 :rule trans :premises (@p1460 @p1454)) % 1.12/1.35 (step @p1462 :rule cong :premises (@p1461) :args (@t2659)) % 1.12/1.35 (step @p1463 :rule quant-merge-prenex :args ((= @t2659 @t2660))) % 1.12/1.35 (step @p1464 :rule symm :premises (@p1463)) % 1.12/1.35 (step @p1465 :rule quant_var_reordering :args ((= (forall @t2661 @t2657) @t2660))) % 1.12/1.35 (step @p1466 :rule trans :premises (@p1465 @p1464 @p1462)) % 1.12/1.35 (step @p1467 :rule trans :premises (@p1466 @p1453)) % 1.12/1.35 (step @p1468 :rule eq-symm :args (@t1429 @t289)) % 1.12/1.35 (step @p1469 :rule nary_cong :premises (@p887 @p1468) :args (@t2662)) % 1.12/1.35 (step @p1470 :rule nary_cong :premises (@p1079 @p1469) :args (@t2663)) % 1.12/1.35 (step @p1471 :rule cong :premises (@p1470) :args (@t2664)) % 1.12/1.35 (step @p1472 :rule cong :premises (@p1082 @p1471) :args (@t2665)) % 1.12/1.35 (step @p1473 :rule cong :premises (@p1447 @p1472) :args (@t2666)) % 1.12/1.35 (step @p1474 :rule nary_cong :premises (@p904 @p867 @p1449 @p1473) :args (@t2667)) % 1.12/1.35 (step @p1475 :rule aci_norm :args ((= @t2669 @t2667))) % 1.12/1.35 (step @p1476 :rule trans :premises (@p1475 @p1474)) % 1.12/1.35 (step @p1477 :rule cong :premises (@p1476) :args (@t2670)) % 1.12/1.35 (step @p1478 :rule trans :premises (@p1477 @p1467)) % 1.12/1.35 (step @p1479 :rule quant-merge-prenex :args ((= (forall @t1071 @t2672) @t2670))) % 1.12/1.35 (step @p1480 :rule alpha_equiv :args (@t2673 (@list @t1429) @t2413)) % 1.12/1.35 (step @p1481 :rule nary_cong :premises (@p744 @p824 @p1480) :args (@t2674)) % 1.12/1.35 (step @p1482 :rule quant-miniscope-or :args ((= @t2672 @t2674))) % 1.12/1.35 (step @p1483 :rule trans :premises (@p1482 @p1481)) % 1.12/1.35 (step @p1484 :rule symm :premises (@p1483)) % 1.12/1.35 (step @p1485 :rule cong :premises (@p1484) :args ((forall @t1071 (or @t1384 @t173 @t2676)))) % 1.12/1.35 (step @p1486 :rule trans :premises (@p1485 @p1479)) % 1.12/1.35 (step @p1487 :rule trans :premises (@p1486 @p1478)) % 1.12/1.35 (step @p1488 :rule refl :args (@t2676)) % 1.12/1.35 (step @p1489 :rule nary_cong :premises (@p758 @p824 @p1488) :args (@t2677)) % 1.12/1.35 (step @p1490 :rule cong :premises (@p1489) :args ((forall @t1071 @t2677))) % 1.12/1.35 (step @p1491 :rule trans :premises (@p1490 @p1487)) % 1.12/1.35 (step @p1492 :rule aci_norm :args ((= (or @t197 @t2678) @t2677))) % 1.12/1.35 (step @p1493 :rule bool-impl-elim :args (@t7 @t2678)) % 1.12/1.35 (step @p1494 :rule trans :premises (@p1493 @p1492)) % 1.12/1.35 (step @p1495 :rule cong :premises (@p1494) :args ((forall @t1071 (=> @t7 @t2678)))) % 1.12/1.35 (step @p1496 :rule trans :premises (@p1495 @p1491)) % 1.12/1.35 (step @p1497 :rule refl :args ((tptp.in @t19 @t2526))) % 1.12/1.35 (step @p1498 :rule cong :premises (@p863 @p1107) :args (@t2675)) % 1.12/1.35 (step @p1499 :rule trans :premises (@p1498 @p1497)) % 1.12/1.35 (step @p1500 :rule refl :args (@t20)) % 1.12/1.35 (step @p1501 :rule ho_cong :premises (@p1500 @p1107)) % 1.12/1.35 (step @p1502 :rule cong :premises (@p1501 @p1499) :args ((= (_ @t20 @t2522) @t2675))) % 1.12/1.35 (step @p1503 :rule symm :premises (@p1502)) % 1.12/1.35 (step @p1504 :rule refl :args (@t2679)) % 1.12/1.35 (step @p1505 :rule eq_resolve :premises (@p1504 @p1503)) % 1.12/1.35 (step @p1506 :rule ho_cong :premises (@p1500 @p1119)) % 1.12/1.35 (step @p1507 :rule trans :premises (@p1506 @p1505)) % 1.12/1.35 (step @p1508 :rule nary_cong :premises (@p805 @p1507) :args (@t2680)) % 1.12/1.35 (step @p1509 :rule cong :premises (@p1508) :args (@t2681)) % 1.12/1.35 (step @p1510 :rule nary_cong :premises (@p867 @p1509) :args (@t2682)) % 1.12/1.35 (step @p1511 :rule quant-miniscope-or :args ((= (forall @t70 @t2683) @t2682))) % 1.12/1.35 (step @p1512 :rule aci_norm :args ((= @t2684 @t2683))) % 1.12/1.35 (step @p1513 :rule cong :premises (@p1512) :args ((forall @t70 @t2684))) % 1.12/1.35 (step @p1514 :rule trans :premises (@p1513 @p1511)) % 1.12/1.35 (step @p1515 :rule trans :premises (@p1514 @p1510)) % 1.12/1.35 (step @p1516 :rule aci_norm :args ((= (or @t2420 (or @t173 @t2679)) @t2684))) % 1.12/1.35 (step @p1517 :rule nary_cong :premises (@p828 @p1504) :args ((or @t2426 @t2679))) % 1.12/1.35 (step @p1518 :rule bool-impl-elim :args (@t1060 @t2679)) % 1.12/1.35 (step @p1519 :rule trans :premises (@p1518 @p1517)) % 1.12/1.35 (step @p1520 :rule nary_cong :premises (@p879 @p1519) :args ((or @t2420 @t2685))) % 1.12/1.35 (step @p1521 :rule trans :premises (@p1520 @p1516)) % 1.12/1.35 (step @p1522 :rule bool-impl-elim :args (@t21 @t2685)) % 1.12/1.35 (step @p1523 :rule trans :premises (@p1522 @p1521)) % 1.12/1.35 (step @p1524 :rule cong :premises (@p1523) :args ((forall @t70 (=> @t21 @t2685)))) % 1.12/1.35 (step @p1525 :rule trans :premises (@p1524 @p1515)) % 1.12/1.35 (step @p1526 :rule refl :args (@t20)) % 1.12/1.35 (step @p1527 :rule ho_cong :premises (@p1526 @p1134)) % 1.12/1.35 (step @p1528 :rule cong :premises (@p887 @p1527) :args (@t1067)) % 1.12/1.35 (step @p1529 :rule cong :premises (@p889 @p1528) :args (@t1068)) % 1.12/1.35 (step @p1530 :rule cong :premises (@p1529) :args (@t1069)) % 1.12/1.35 (step @p1531 :rule trans :premises (@p1530 @p1525)) % 1.12/1.35 (step @p1532 :rule cong :premises (@p811 @p1531) :args (@t1070)) % 1.12/1.35 (step @p1533 :rule cong :premises (@p1532) :args (@t1072)) % 1.12/1.35 (step @p1534 :rule trans :premises (@p1533 @p1496)) % 1.12/1.35 (step @p1535 :rule refl :args (tptp.iffalseProp1)) % 1.12/1.35 (step @p1536 :rule cong :premises (@p1535 @p1534) :args (@t1073)) % 1.12/1.35 (step @p1537 :rule eq_resolve :premises (@p217 @p1536)) % 1.12/1.35 (step @p1538 :rule cong :premises (@p1537 @p1437) :args (@t2686)) % 1.12/1.35 (step @p1539 :rule refl :args ((tptp.lam @t2 @t1 @t1048))) % 1.12/1.35 (step @p1540 :rule refl :args (@t1433)) % 1.12/1.35 (step @p1541 :rule cong :premises (@p1540) :args (@t1434)) % 1.12/1.35 (step @p1542 :rule refl :args (@t1)) % 1.12/1.35 (step @p1543 :rule cong :premises (@p1055 @p1542 @p1541) :args (@t1435)) % 1.12/1.35 (step @p1544 :rule trans :premises (@p1543 @p1539)) % 1.12/1.35 (step @p1545 :rule refl :args (@t922)) % 1.12/1.35 (step @p1546 :rule ho_cong :premises (@p1545 @p1541)) % 1.12/1.35 (step @p1547 :rule cong :premises (@p1546 @p1544) :args ((= (_ @t922 @t1434) @t1435))) % 1.12/1.35 (step @p1548 :rule symm :premises (@p1547)) % 1.12/1.35 (step @p1549 :rule refl :args (@t1049)) % 1.12/1.35 (step @p1550 :rule eq_resolve :premises (@p1549 @p1548)) % 1.12/1.35 (step @p1551 :rule refl :args (@t896)) % 1.12/1.35 (step @p1552 :rule cong :premises (@p1551 @p1540) :args ((= @t896 @t1433))) % 1.12/1.35 (step @p1553 :rule symm :premises (@p1552)) % 1.12/1.35 (step @p1554 :rule eq_resolve :premises (@p1551 @p1553)) % 1.12/1.35 (step @p1555 :rule cong :premises (@p1554) :args (@t1048)) % 1.12/1.35 (step @p1556 :rule ho_cong :premises (@p1545 @p1555)) % 1.12/1.35 (step @p1557 :rule trans :premises (@p1556 @p1550)) % 1.12/1.35 (step @p1558 :rule refl :args (@t877)) % 1.12/1.35 (step @p1559 :rule cong :premises (@p1558 @p1557) :args (@t2687)) % 1.12/1.35 (step @p1560 :rule refl :args ((tptp.in @t877 @t902))) % 1.12/1.35 (step @p1561 :rule refl :args (@t1437)) % 1.12/1.35 (step @p1562 :rule cong :premises (@p1558 @p1561) :args (@t1438)) % 1.12/1.35 (step @p1563 :rule trans :premises (@p1562 @p1560)) % 1.12/1.35 (step @p1564 :rule refl :args (@t903)) % 1.12/1.35 (step @p1565 :rule ho_cong :premises (@p1564 @p1561)) % 1.12/1.35 (step @p1566 :rule cong :premises (@p1565 @p1563) :args ((= (_ @t903 @t1437) @t1438))) % 1.12/1.35 (step @p1567 :rule symm :premises (@p1566)) % 1.12/1.35 (step @p1568 :rule refl :args (@t904)) % 1.12/1.35 (step @p1569 :rule eq_resolve :premises (@p1568 @p1567)) % 1.12/1.35 (step @p1570 :rule refl :args (@t902)) % 1.12/1.35 (step @p1571 :rule cong :premises (@p1570 @p1561) :args ((= @t902 @t1437))) % 1.12/1.35 (step @p1572 :rule symm :premises (@p1571)) % 1.12/1.35 (step @p1573 :rule eq_resolve :premises (@p1570 @p1572)) % 1.12/1.35 (step @p1574 :rule ho_cong :premises (@p1564 @p1573)) % 1.12/1.35 (step @p1575 :rule trans :premises (@p1574 @p1569)) % 1.12/1.35 (step @p1576 :rule cong :premises (@p1575) :args (@t2688)) % 1.12/1.35 (step @p1577 :rule nary_cong :premises (@p1576 @p1559) :args (@t2689)) % 1.12/1.35 (step @p1578 :rule cong :premises (@p1577) :args ((forall @t886 @t2689))) % 1.12/1.35 (step @p1579 :rule bool-impl-elim :args (@t904 @t2687)) % 1.12/1.35 (step @p1580 :rule cong :premises (@p1579) :args ((forall @t886 (=> @t904 @t2687)))) % 1.12/1.35 (step @p1581 :rule trans :premises (@p1580 @p1578)) % 1.12/1.35 (step @p1582 :rule eq-symm :args (@t1049 @t877)) % 1.12/1.35 (step @p1583 :rule refl :args (@t904)) % 1.12/1.35 (step @p1584 :rule cong :premises (@p1583 @p1582) :args (@t1057)) % 1.12/1.35 (step @p1585 :rule cong :premises (@p1584) :args (@t1058)) % 1.12/1.35 (step @p1586 :rule trans :premises (@p1585 @p1581)) % 1.12/1.35 (step @p1587 :rule refl :args (tptp.eta2)) % 1.12/1.35 (step @p1588 :rule cong :premises (@p1587 @p1586) :args (@t1059)) % 1.12/1.35 (step @p1589 :rule eq_resolve :premises (@p216 @p1588)) % 1.12/1.35 (step @p1590 :rule cong :premises (@p1589 @p1538) :args (@t2690)) % 1.12/1.35 (step @p1591 :rule eq-symm :args (@t1450 tptp.beta2)) % 1.12/1.35 (step @p1592 :rule refl :args (tptp.beta2)) % 1.12/1.35 (step @p1593 :rule aci_norm :args ((= @t2692 @t1448))) % 1.12/1.35 (step @p1594 :rule cong :premises (@p1593) :args (@t2693)) % 1.12/1.35 (step @p1595 :rule quant-merge-prenex :args ((= (forall @t918 @t2695) @t2693))) % 1.12/1.35 (step @p1596 :rule alpha_equiv :args (@t2696 (@list @t1440) @t2487)) % 1.12/1.35 (step @p1597 :rule refl :args (@t1447)) % 1.12/1.35 (step @p1598 :rule nary_cong :premises (@p1597 @p1596) :args (@t2697)) % 1.12/1.35 (step @p1599 :rule quant-miniscope-or :args ((= @t2695 @t2697))) % 1.12/1.35 (step @p1600 :rule trans :premises (@p1599 @p1598)) % 1.12/1.35 (step @p1601 :rule symm :premises (@p1600)) % 1.12/1.35 (step @p1602 :rule cong :premises (@p1601) :args ((forall @t918 (or @t1447 @t2698)))) % 1.12/1.35 (step @p1603 :rule trans :premises (@p1602 @p1595)) % 1.12/1.35 (step @p1604 :rule trans :premises (@p1603 @p1594)) % 1.12/1.35 (step @p1605 :rule bool-impl-elim :args (@t1446 @t2698)) % 1.12/1.35 (step @p1606 :rule cong :premises (@p1605) :args ((forall @t918 (=> @t1446 @t2698)))) % 1.12/1.35 (step @p1607 :rule trans :premises (@p1606 @p1604)) % 1.12/1.35 (step @p1608 :rule lambda-elim :args ((= @t2700 @t912))) % 1.12/1.35 (step @p1609 :rule refl :args (@t1)) % 1.12/1.35 (step @p1610 :rule cong :premises (@p1082 @p1609 @p1608) :args (@t2701)) % 1.12/1.35 (step @p1611 :rule cong :premises (@p1082 @p1609 @p1610 @p1253) :args (@t2702)) % 1.12/1.35 (step @p1612 :rule refl :args (@t1444)) % 1.12/1.35 (step @p1613 :rule cong :premises (@p1612 @p1611) :args (@t2703)) % 1.12/1.35 (step @p1614 :rule nary_cong :premises (@p904 @p1613) :args (@t2704)) % 1.12/1.35 (step @p1615 :rule cong :premises (@p1614) :args ((forall @t9 @t2704))) % 1.12/1.35 (step @p1616 :rule refl :args ((tptp.ap @t2 @t1 @t1041 @t4))) % 1.12/1.35 (step @p1617 :rule refl :args ((tptp.lam @t2 @t1 @t1040))) % 1.12/1.35 (step @p1618 :rule refl :args (@t2699)) % 1.12/1.35 (step @p1619 :rule cong :premises (@p1618) :args (@t2700)) % 1.12/1.35 (step @p1620 :rule cong :premises (@p1055 @p1542 @p1619) :args (@t2701)) % 1.12/1.35 (step @p1621 :rule trans :premises (@p1620 @p1617)) % 1.12/1.35 (step @p1622 :rule cong :premises (@p1055 @p1542 @p1621 @p768) :args (@t2702)) % 1.12/1.35 (step @p1623 :rule trans :premises (@p1622 @p1616)) % 1.12/1.35 (step @p1624 :rule refl :args (@t895)) % 1.12/1.35 (step @p1625 :rule ho_cong :premises (@p1624 @p1621)) % 1.12/1.35 (step @p1626 :rule ho_cong :premises (@p1625 @p768)) % 1.12/1.35 (step @p1627 :rule cong :premises (@p1626 @p1623) :args ((= (_ (_ @t895 @t2701) @t4) @t2702))) % 1.12/1.35 (step @p1628 :rule symm :premises (@p1627)) % 1.12/1.35 (step @p1629 :rule refl :args (@t1042)) % 1.12/1.35 (step @p1630 :rule eq_resolve :premises (@p1629 @p1628)) % 1.12/1.35 (step @p1631 :rule ho_cong :premises (@p1545 @p1619)) % 1.12/1.35 (step @p1632 :rule cong :premises (@p1631 @p1621) :args ((= (_ @t922 @t2700) @t2701))) % 1.12/1.35 (step @p1633 :rule symm :premises (@p1632)) % 1.12/1.35 (step @p1634 :rule refl :args (@t1041)) % 1.12/1.35 (step @p1635 :rule eq_resolve :premises (@p1634 @p1633)) % 1.12/1.35 (step @p1636 :rule refl :args (@t1039)) % 1.12/1.35 (step @p1637 :rule cong :premises (@p1636 @p1618) :args ((= @t1039 @t2699))) % 1.12/1.35 (step @p1638 :rule symm :premises (@p1637)) % 1.12/1.35 (step @p1639 :rule eq_resolve :premises (@p1636 @p1638)) % 1.12/1.35 (step @p1640 :rule cong :premises (@p1639) :args (@t1040)) % 1.12/1.35 (step @p1641 :rule ho_cong :premises (@p1545 @p1640)) % 1.12/1.35 (step @p1642 :rule trans :premises (@p1641 @p1635)) % 1.12/1.35 (step @p1643 :rule ho_cong :premises (@p1624 @p1642)) % 1.12/1.35 (step @p1644 :rule ho_cong :premises (@p1643 @p768)) % 1.12/1.35 (step @p1645 :rule trans :premises (@p1644 @p1630)) % 1.12/1.35 (step @p1646 :rule refl :args (@t1444)) % 1.12/1.35 (step @p1647 :rule refl :args (@t913)) % 1.12/1.35 (step @p1648 :rule cong :premises (@p1647 @p1646) :args ((= @t913 @t1444))) % 1.12/1.35 (step @p1649 :rule symm :premises (@p1648)) % 1.12/1.35 (step @p1650 :rule eq_resolve :premises (@p1647 @p1649)) % 1.12/1.35 (step @p1651 :rule cong :premises (@p1650 @p1645) :args (@t2705)) % 1.12/1.35 (step @p1652 :rule nary_cong :premises (@p758 @p1651) :args (@t2706)) % 1.12/1.35 (step @p1653 :rule cong :premises (@p1652) :args ((forall @t9 @t2706))) % 1.12/1.35 (step @p1654 :rule trans :premises (@p1653 @p1615)) % 1.12/1.35 (step @p1655 :rule bool-impl-elim :args (@t7 @t2705)) % 1.12/1.35 (step @p1656 :rule cong :premises (@p1655) :args ((forall @t9 (=> @t7 @t2705)))) % 1.12/1.35 (step @p1657 :rule trans :premises (@p1656 @p1654)) % 1.12/1.35 (step @p1658 :rule eq-symm :args (@t1042 @t913)) % 1.12/1.35 (step @p1659 :rule cong :premises (@p811 @p1658) :args (@t1043)) % 1.12/1.35 (step @p1660 :rule cong :premises (@p1659) :args (@t1044)) % 1.12/1.35 (step @p1661 :rule trans :premises (@p1660 @p1657)) % 1.12/1.35 (step @p1662 :rule refl :args ((tptp.in @t913 @t1))) % 1.12/1.35 (step @p1663 :rule cong :premises (@p1646 @p1542) :args (@t1445)) % 1.12/1.35 (step @p1664 :rule trans :premises (@p1663 @p1662)) % 1.12/1.35 (step @p1665 :rule ho_cong :premises (@p774 @p1646)) % 1.12/1.35 (step @p1666 :rule ho_cong :premises (@p1665 @p1542)) % 1.12/1.35 (step @p1667 :rule cong :premises (@p1666 @p1664) :args ((= (_ (_ tptp.in @t1444) @t1) @t1445))) % 1.12/1.35 (step @p1668 :rule symm :premises (@p1667)) % 1.12/1.35 (step @p1669 :rule refl :args (@t915)) % 1.12/1.35 (step @p1670 :rule eq_resolve :premises (@p1669 @p1668)) % 1.12/1.35 (step @p1671 :rule ho_cong :premises (@p774 @p1650)) % 1.12/1.35 (step @p1672 :rule ho_cong :premises (@p1671 @p1542)) % 1.12/1.35 (step @p1673 :rule trans :premises (@p1672 @p1670)) % 1.12/1.35 (step @p1674 :rule nary_cong :premises (@p758 @p1673) :args (@t2707)) % 1.12/1.35 (step @p1675 :rule cong :premises (@p1674) :args ((forall @t9 @t2707))) % 1.12/1.35 (step @p1676 :rule bool-impl-elim :args (@t7 @t915)) % 1.12/1.35 (step @p1677 :rule cong :premises (@p1676) :args (@t916)) % 1.12/1.35 (step @p1678 :rule trans :premises (@p1677 @p1675)) % 1.12/1.35 (step @p1679 :rule cong :premises (@p1678 @p1661) :args (@t1045)) % 1.12/1.35 (step @p1680 :rule cong :premises (@p1679) :args (@t1046)) % 1.12/1.35 (step @p1681 :rule trans :premises (@p1680 @p1607)) % 1.12/1.35 (step @p1682 :rule cong :premises (@p1681 @p1592) :args ((= @t1046 tptp.beta2))) % 1.12/1.35 (step @p1683 :rule trans :premises (@p1682 @p1591)) % 1.12/1.35 (step @p1684 :rule eq-symm :args (tptp.beta2 @t1046)) % 1.12/1.35 (step @p1685 :rule trans :premises (@p1684 @p1683)) % 1.12/1.35 (step @p1686 :rule eq_resolve :premises (@p215 @p1685)) % 1.12/1.35 (step @p1687 :rule cong :premises (@p1686 @p1590) :args (@t2708)) % 1.12/1.35 (step @p1688 :rule bool-eq-true :args (tptp.lam2lamEq)) % 1.12/1.35 (step @p1689 :rule symm :premises (@p1688)) % 1.12/1.35 (step @p1690 :rule quant-unused-vars :args ((= (forall @t918 true) true))) % 1.12/1.35 (step @p1691 :rule bool-impl-true1 :args (@t1446)) % 1.12/1.35 (step @p1692 :rule eq-refl :args (@t923)) % 1.12/1.35 (step @p1693 :rule cong :premises (@p1678 @p1692) :args (@t1054)) % 1.12/1.35 (step @p1694 :rule trans :premises (@p1693 @p1691)) % 1.12/1.35 (step @p1695 :rule cong :premises (@p1694) :args (@t1055)) % 1.12/1.35 (step @p1696 :rule trans :premises (@p1695 @p1690)) % 1.12/1.35 (step @p1697 :rule refl :args (tptp.lam2lamEq)) % 1.12/1.35 (step @p1698 :rule cong :premises (@p1697 @p1696) :args (@t1056)) % 1.12/1.35 (step @p1699 :rule trans :premises (@p1698 @p1688)) % 1.12/1.35 (step @p1700 :rule eq_resolve :premises (@p214 @p1699)) % 1.12/1.35 (step @p1701 :rule eq_resolve :premises (@p1700 @p1689)) % 1.12/1.35 (step @p1702 :rule cong :premises (@p1701 @p1687) :args (@t2709)) % 1.12/1.35 (step @p1703 :rule refl :args (@t1452)) % 1.12/1.35 (step @p1704 :rule refl :args (@t884)) % 1.12/1.35 (step @p1705 :rule cong :premises (@p1704 @p1703) :args ((= @t884 @t1452))) % 1.12/1.35 (step @p1706 :rule symm :premises (@p1705)) % 1.12/1.35 (step @p1707 :rule eq_resolve :premises (@p1704 @p1706)) % 1.12/1.35 (step @p1708 :rule cong :premises (@p1707) :args (@t2710)) % 1.12/1.35 (step @p1709 :rule nary_cong :premises (@p1708 @p1559) :args (@t2711)) % 1.12/1.35 (step @p1710 :rule cong :premises (@p1709) :args ((forall @t886 @t2711))) % 1.12/1.35 (step @p1711 :rule bool-impl-elim :args (@t884 @t2687)) % 1.12/1.35 (step @p1712 :rule cong :premises (@p1711) :args ((forall @t886 (=> @t884 @t2687)))) % 1.12/1.35 (step @p1713 :rule trans :premises (@p1712 @p1710)) % 1.12/1.35 (step @p1714 :rule refl :args (@t884)) % 1.12/1.35 (step @p1715 :rule cong :premises (@p1714 @p1582) :args (@t1051)) % 1.12/1.35 (step @p1716 :rule cong :premises (@p1715) :args (@t1052)) % 1.12/1.35 (step @p1717 :rule trans :premises (@p1716 @p1713)) % 1.12/1.35 (step @p1718 :rule refl :args (tptp.eta1)) % 1.12/1.35 (step @p1719 :rule cong :premises (@p1718 @p1717) :args (@t1053)) % 1.12/1.35 (step @p1720 :rule eq_resolve :premises (@p213 @p1719)) % 1.12/1.35 (step @p1721 :rule cong :premises (@p1720 @p1702) :args (@t2712)) % 1.12/1.35 (step @p1722 :rule refl :args (tptp.beta1)) % 1.12/1.35 (step @p1723 :rule cong :premises (@p1722 @p1681) :args (@t1047)) % 1.12/1.35 (step @p1724 :rule eq_resolve :premises (@p212 @p1723)) % 1.12/1.35 (step @p1725 :rule cong :premises (@p1724 @p1721) :args (@t2713)) % 1.12/1.35 (step @p1726 :rule bool-eq-true :args (tptp.ap2apEq2)) % 1.12/1.35 (step @p1727 :rule symm :premises (@p1726)) % 1.12/1.35 (step @p1728 :rule quant-unused-vars :args ((= (forall @t886 true) true))) % 1.12/1.35 (step @p1729 :rule bool-impl-true1 :args (@t884)) % 1.12/1.35 (step @p1730 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.12/1.35 (step @p1731 :rule bool-impl-true1 :args (@t7)) % 1.12/1.35 (step @p1732 :rule eq-refl :args (@t896)) % 1.12/1.35 (step @p1733 :rule cong :premises (@p811 @p1732) :args (@t1031)) % 1.12/1.35 (step @p1734 :rule trans :premises (@p1733 @p1731)) % 1.12/1.35 (step @p1735 :rule cong :premises (@p1734) :args (@t1032)) % 1.12/1.35 (step @p1736 :rule trans :premises (@p1735 @p1730)) % 1.12/1.35 (step @p1737 :rule cong :premises (@p1714 @p1736) :args (@t1036)) % 1.12/1.35 (step @p1738 :rule trans :premises (@p1737 @p1729)) % 1.12/1.35 (step @p1739 :rule cong :premises (@p1738) :args (@t1037)) % 1.12/1.35 (step @p1740 :rule trans :premises (@p1739 @p1728)) % 1.12/1.35 (step @p1741 :rule refl :args (tptp.ap2apEq2)) % 1.12/1.35 (step @p1742 :rule cong :premises (@p1741 @p1740) :args (@t1038)) % 1.12/1.35 (step @p1743 :rule trans :premises (@p1742 @p1726)) % 1.12/1.35 (step @p1744 :rule eq_resolve :premises (@p211 @p1743)) % 1.12/1.35 (step @p1745 :rule eq_resolve :premises (@p1744 @p1727)) % 1.12/1.35 (step @p1746 :rule cong :premises (@p1745 @p1725) :args (@t2714)) % 1.12/1.35 (step @p1747 :rule bool-eq-true :args (tptp.ap2apEq1)) % 1.12/1.35 (step @p1748 :rule symm :premises (@p1747)) % 1.12/1.35 (step @p1749 :rule bool-impl-true1 :args (@t904)) % 1.12/1.35 (step @p1750 :rule cong :premises (@p1583 @p1736) :args (@t1033)) % 1.12/1.35 (step @p1751 :rule trans :premises (@p1750 @p1749)) % 1.12/1.35 (step @p1752 :rule cong :premises (@p1751) :args (@t1034)) % 1.12/1.35 (step @p1753 :rule trans :premises (@p1752 @p1728)) % 1.12/1.35 (step @p1754 :rule refl :args (tptp.ap2apEq1)) % 1.12/1.35 (step @p1755 :rule cong :premises (@p1754 @p1753) :args (@t1035)) % 1.12/1.35 (step @p1756 :rule trans :premises (@p1755 @p1747)) % 1.12/1.35 (step @p1757 :rule eq_resolve :premises (@p210 @p1756)) % 1.12/1.35 (step @p1758 :rule eq_resolve :premises (@p1757 @p1748)) % 1.12/1.35 (step @p1759 :rule cong :premises (@p1758 @p1746) :args (@t2715)) % 1.12/1.35 (step @p1760 :rule aci_norm :args ((= @t2717 @t1459))) % 1.12/1.35 (step @p1761 :rule cong :premises (@p1760) :args (@t2718)) % 1.12/1.35 (step @p1762 :rule quant-merge-prenex :args ((= (forall @t886 @t2720) @t2718))) % 1.12/1.35 (step @p1763 :rule alpha_equiv :args (@t2721 (@list @t1455) @t2722)) % 1.12/1.35 (step @p1764 :rule refl :args (@t1439)) % 1.12/1.35 (step @p1765 :rule nary_cong :premises (@p1764 @p1763) :args (@t2723)) % 1.12/1.35 (step @p1766 :rule quant-miniscope-or :args ((= @t2720 @t2723))) % 1.12/1.35 (step @p1767 :rule trans :premises (@p1766 @p1765)) % 1.12/1.35 (step @p1768 :rule symm :premises (@p1767)) % 1.12/1.35 (step @p1769 :rule cong :premises (@p1768) :args ((forall @t886 (or @t1439 @t2728)))) % 1.12/1.35 (step @p1770 :rule trans :premises (@p1769 @p1762)) % 1.12/1.35 (step @p1771 :rule trans :premises (@p1770 @p1761)) % 1.12/1.35 (step @p1772 :rule refl :args (@t2728)) % 1.12/1.35 (step @p1773 :rule nary_cong :premises (@p1576 @p1772) :args (@t2729)) % 1.12/1.35 (step @p1774 :rule cong :premises (@p1773) :args ((forall @t886 @t2729))) % 1.12/1.35 (step @p1775 :rule trans :premises (@p1774 @p1771)) % 1.12/1.35 (step @p1776 :rule bool-impl-elim :args (@t904 @t2728)) % 1.12/1.35 (step @p1777 :rule cong :premises (@p1776) :args ((forall @t886 (=> @t904 @t2728)))) % 1.12/1.35 (step @p1778 :rule trans :premises (@p1777 @p1775)) % 1.12/1.35 (step @p1779 :rule refl :args (@t1017)) % 1.12/1.35 (step @p1780 :rule refl :args (@t2726)) % 1.12/1.35 (step @p1781 :rule refl :args ((tptp.in @t969 @t902))) % 1.12/1.35 (step @p1782 :rule refl :args (@t969)) % 1.12/1.35 (step @p1783 :rule cong :premises (@p1782 @p1561) :args (@t2727)) % 1.12/1.35 (step @p1784 :rule trans :premises (@p1783 @p1781)) % 1.12/1.35 (step @p1785 :rule refl :args (@t1024)) % 1.12/1.35 (step @p1786 :rule ho_cong :premises (@p1785 @p1561)) % 1.12/1.35 (step @p1787 :rule cong :premises (@p1786 @p1784) :args ((= (_ @t1024 @t1437) @t2727))) % 1.12/1.35 (step @p1788 :rule symm :premises (@p1787)) % 1.12/1.35 (step @p1789 :rule refl :args (@t1025)) % 1.12/1.35 (step @p1790 :rule eq_resolve :premises (@p1789 @p1788)) % 1.12/1.35 (step @p1791 :rule ho_cong :premises (@p1785 @p1573)) % 1.12/1.35 (step @p1792 :rule trans :premises (@p1791 @p1790)) % 1.12/1.35 (step @p1793 :rule cong :premises (@p1792) :args (@t2730)) % 1.12/1.35 (step @p1794 :rule nary_cong :premises (@p1793 @p1780 @p1779) :args (@t2731)) % 1.12/1.35 (step @p1795 :rule cong :premises (@p1794) :args ((forall @t981 @t2731))) % 1.12/1.35 (step @p1796 :rule aci_norm :args ((= (or @t2730 @t2732) @t2731))) % 1.12/1.35 (step @p1797 :rule bool-impl-elim :args (@t2725 @t1017)) % 1.12/1.35 (step @p1798 :rule refl :args (@t2730)) % 1.12/1.35 (step @p1799 :rule nary_cong :premises (@p1798 @p1797) :args ((or @t2730 @t2733))) % 1.12/1.35 (step @p1800 :rule trans :premises (@p1799 @p1796)) % 1.12/1.35 (step @p1801 :rule bool-impl-elim :args (@t1025 @t2733)) % 1.12/1.35 (step @p1802 :rule trans :premises (@p1801 @p1800)) % 1.12/1.35 (step @p1803 :rule cong :premises (@p1802) :args ((forall @t981 (=> @t1025 @t2733)))) % 1.12/1.35 (step @p1804 :rule trans :premises (@p1803 @p1795)) % 1.12/1.35 (step @p1805 :rule refl :args (@t1017)) % 1.12/1.35 (step @p1806 :rule refl :args (@t2724)) % 1.12/1.35 (step @p1807 :rule refl :args (@t975)) % 1.12/1.35 (step @p1808 :rule cong :premises (@p1807 @p1806) :args ((= @t975 @t2724))) % 1.12/1.35 (step @p1809 :rule symm :premises (@p1808)) % 1.12/1.35 (step @p1810 :rule eq_resolve :premises (@p1807 @p1809)) % 1.12/1.35 (step @p1811 :rule cong :premises (@p1554 @p1810) :args (@t976)) % 1.12/1.35 (step @p1812 :rule nary_cong :premises (@p758 @p1811) :args (@t2734)) % 1.12/1.35 (step @p1813 :rule cong :premises (@p1812) :args ((forall @t9 @t2734))) % 1.12/1.35 (step @p1814 :rule bool-impl-elim :args (@t7 @t976)) % 1.12/1.35 (step @p1815 :rule cong :premises (@p1814) :args (@t977)) % 1.12/1.35 (step @p1816 :rule trans :premises (@p1815 @p1813)) % 1.12/1.35 (step @p1817 :rule cong :premises (@p1816 @p1805) :args (@t1018)) % 1.12/1.35 (step @p1818 :rule refl :args (@t1025)) % 1.12/1.35 (step @p1819 :rule cong :premises (@p1818 @p1817) :args (@t1026)) % 1.12/1.35 (step @p1820 :rule cong :premises (@p1819) :args (@t1027)) % 1.12/1.35 (step @p1821 :rule trans :premises (@p1820 @p1804)) % 1.12/1.35 (step @p1822 :rule cong :premises (@p1583 @p1821) :args (@t1028)) % 1.12/1.35 (step @p1823 :rule cong :premises (@p1822) :args (@t1029)) % 1.12/1.35 (step @p1824 :rule trans :premises (@p1823 @p1778)) % 1.12/1.35 (step @p1825 :rule refl :args (tptp.funcext2)) % 1.12/1.35 (step @p1826 :rule cong :premises (@p1825 @p1824) :args (@t1030)) % 1.12/1.35 (step @p1827 :rule eq_resolve :premises (@p209 @p1826)) % 1.12/1.35 (step @p1828 :rule cong :premises (@p1827 @p1759) :args (@t2735)) % 1.12/1.35 (step @p1829 :rule aci_norm :args ((= @t2737 @t1466))) % 1.12/1.35 (step @p1830 :rule cong :premises (@p1829) :args (@t2738)) % 1.12/1.35 (step @p1831 :rule quant-merge-prenex :args ((= (forall @t886 @t2740) @t2738))) % 1.12/1.35 (step @p1832 :rule alpha_equiv :args (@t2741 (@list @t1462) @t2722)) % 1.12/1.35 (step @p1833 :rule refl :args (@t1453)) % 1.12/1.35 (step @p1834 :rule nary_cong :premises (@p1833 @p1832) :args (@t2742)) % 1.12/1.35 (step @p1835 :rule quant-miniscope-or :args ((= @t2740 @t2742))) % 1.12/1.35 (step @p1836 :rule trans :premises (@p1835 @p1834)) % 1.12/1.35 (step @p1837 :rule symm :premises (@p1836)) % 1.12/1.35 (step @p1838 :rule cong :premises (@p1837) :args ((forall @t886 (or @t1453 @t2745)))) % 1.12/1.35 (step @p1839 :rule trans :premises (@p1838 @p1831)) % 1.12/1.35 (step @p1840 :rule trans :premises (@p1839 @p1830)) % 1.12/1.35 (step @p1841 :rule refl :args (@t2745)) % 1.12/1.35 (step @p1842 :rule nary_cong :premises (@p1708 @p1841) :args (@t2746)) % 1.12/1.35 (step @p1843 :rule cong :premises (@p1842) :args ((forall @t886 @t2746))) % 1.12/1.35 (step @p1844 :rule trans :premises (@p1843 @p1840)) % 1.12/1.35 (step @p1845 :rule bool-impl-elim :args (@t884 @t2745)) % 1.12/1.35 (step @p1846 :rule cong :premises (@p1845) :args ((forall @t886 (=> @t884 @t2745)))) % 1.12/1.35 (step @p1847 :rule trans :premises (@p1846 @p1844)) % 1.12/1.35 (step @p1848 :rule refl :args (@t2743)) % 1.12/1.35 (step @p1849 :rule refl :args (@t979)) % 1.12/1.35 (step @p1850 :rule cong :premises (@p1849 @p1848) :args ((= @t979 @t2743))) % 1.12/1.35 (step @p1851 :rule symm :premises (@p1850)) % 1.12/1.35 (step @p1852 :rule eq_resolve :premises (@p1849 @p1851)) % 1.12/1.35 (step @p1853 :rule cong :premises (@p1852) :args (@t2747)) % 1.12/1.35 (step @p1854 :rule nary_cong :premises (@p1853 @p1780 @p1779) :args (@t2748)) % 1.12/1.35 (step @p1855 :rule cong :premises (@p1854) :args ((forall @t981 @t2748))) % 1.12/1.35 (step @p1856 :rule aci_norm :args ((= (or @t2747 @t2732) @t2748))) % 1.12/1.35 (step @p1857 :rule refl :args (@t2747)) % 1.12/1.35 (step @p1858 :rule nary_cong :premises (@p1857 @p1797) :args ((or @t2747 @t2733))) % 1.12/1.35 (step @p1859 :rule trans :premises (@p1858 @p1856)) % 1.12/1.35 (step @p1860 :rule bool-impl-elim :args (@t979 @t2733)) % 1.12/1.35 (step @p1861 :rule trans :premises (@p1860 @p1859)) % 1.12/1.35 (step @p1862 :rule cong :premises (@p1861) :args ((forall @t981 (=> @t979 @t2733)))) % 1.12/1.35 (step @p1863 :rule trans :premises (@p1862 @p1855)) % 1.12/1.35 (step @p1864 :rule refl :args (@t979)) % 1.12/1.35 (step @p1865 :rule cong :premises (@p1864 @p1817) :args (@t1019)) % 1.12/1.35 (step @p1866 :rule cong :premises (@p1865) :args (@t1020)) % 1.12/1.35 (step @p1867 :rule trans :premises (@p1866 @p1863)) % 1.12/1.35 (step @p1868 :rule cong :premises (@p1714 @p1867) :args (@t1021)) % 1.12/1.35 (step @p1869 :rule cong :premises (@p1868) :args (@t1022)) % 1.12/1.35 (step @p1870 :rule trans :premises (@p1869 @p1847)) % 1.12/1.35 (step @p1871 :rule refl :args (tptp.funcext)) % 1.12/1.35 (step @p1872 :rule cong :premises (@p1871 @p1870) :args (@t1023)) % 1.12/1.35 (step @p1873 :rule eq_resolve :premises (@p208 @p1872)) % 1.12/1.35 (step @p1874 :rule cong :premises (@p1873 @p1828) :args (@t2749)) % 1.12/1.35 (step @p1875 :rule aci_norm :args ((= @t2751 @t1487))) % 1.12/1.35 (step @p1876 :rule cong :premises (@p1875) :args (@t2752)) % 1.12/1.35 (step @p1877 :rule quant-merge-prenex :args ((= (forall @t945 @t2754) @t2752))) % 1.12/1.35 (step @p1878 :rule alpha_equiv :args (@t2755 (@list @t1469) @t2756)) % 1.12/1.35 (step @p1879 :rule refl :args (@t1486)) % 1.12/1.35 (step @p1880 :rule nary_cong :premises (@p1879 @p1878) :args (@t2757)) % 1.12/1.35 (step @p1881 :rule quant-miniscope-or :args ((= @t2754 @t2757))) % 1.12/1.35 (step @p1882 :rule trans :premises (@p1881 @p1880)) % 1.12/1.35 (step @p1883 :rule symm :premises (@p1882)) % 1.12/1.35 (step @p1884 :rule cong :premises (@p1883) :args ((forall @t945 (or @t1486 @t2768)))) % 1.12/1.35 (step @p1885 :rule trans :premises (@p1884 @p1877)) % 1.12/1.35 (step @p1886 :rule trans :premises (@p1885 @p1876)) % 1.12/1.35 (step @p1887 :rule refl :args (@t2768)) % 1.12/1.35 (step @p1888 :rule refl :args ((tptp.subset @t932 @t674))) % 1.12/1.35 (step @p1889 :rule refl :args (@t1483)) % 1.12/1.35 (step @p1890 :rule refl :args (@t932)) % 1.12/1.35 (step @p1891 :rule cong :premises (@p1890 @p1889) :args (@t1485)) % 1.12/1.35 (step @p1892 :rule trans :premises (@p1891 @p1888)) % 1.12/1.35 (step @p1893 :rule refl :args (@t990)) % 1.12/1.35 (step @p1894 :rule ho_cong :premises (@p1893 @p1889)) % 1.12/1.35 (step @p1895 :rule cong :premises (@p1894 @p1892) :args ((= (_ @t990 @t1483) @t1485))) % 1.12/1.35 (step @p1896 :rule symm :premises (@p1895)) % 1.12/1.35 (step @p1897 :rule refl :args (@t2769)) % 1.12/1.35 (step @p1898 :rule eq_resolve :premises (@p1897 @p1896)) % 1.12/1.35 (step @p1899 :rule refl :args (@t674)) % 1.12/1.35 (step @p1900 :rule cong :premises (@p1899 @p1889) :args ((= @t674 @t1483))) % 1.12/1.35 (step @p1901 :rule symm :premises (@p1900)) % 1.12/1.35 (step @p1902 :rule eq_resolve :premises (@p1899 @p1901)) % 1.12/1.35 (step @p1903 :rule ho_cong :premises (@p1893 @p1902)) % 1.12/1.35 (step @p1904 :rule trans :premises (@p1903 @p1898)) % 1.12/1.35 (step @p1905 :rule cong :premises (@p1904) :args (@t2770)) % 1.12/1.35 (step @p1906 :rule nary_cong :premises (@p1905 @p1887) :args (@t2771)) % 1.12/1.35 (step @p1907 :rule cong :premises (@p1906) :args ((forall @t945 @t2771))) % 1.12/1.35 (step @p1908 :rule trans :premises (@p1907 @p1886)) % 1.12/1.35 (step @p1909 :rule bool-impl-elim :args (@t2769 @t2768)) % 1.12/1.35 (step @p1910 :rule cong :premises (@p1909) :args ((forall @t945 (=> @t2769 @t2768)))) % 1.12/1.35 (step @p1911 :rule trans :premises (@p1910 @p1908)) % 1.12/1.35 (step @p1912 :rule refl :args (@t1005)) % 1.12/1.35 (step @p1913 :rule refl :args (@t2761)) % 1.12/1.35 (step @p1914 :rule refl :args (@t2765)) % 1.12/1.35 (step @p1915 :rule refl :args ((tptp.subset @t989 @t674))) % 1.12/1.35 (step @p1916 :rule refl :args (@t989)) % 1.12/1.35 (step @p1917 :rule cong :premises (@p1916 @p1889) :args (@t2766)) % 1.12/1.35 (step @p1918 :rule trans :premises (@p1917 @p1915)) % 1.12/1.35 (step @p1919 :rule refl :args (@t2772)) % 1.12/1.35 (step @p1920 :rule ho_cong :premises (@p1919 @p1889)) % 1.12/1.35 (step @p1921 :rule cong :premises (@p1920 @p1918) :args ((= (_ @t2772 @t1483) @t2766))) % 1.12/1.35 (step @p1922 :rule symm :premises (@p1921)) % 1.12/1.35 (step @p1923 :rule refl :args (@t2773)) % 1.12/1.35 (step @p1924 :rule eq_resolve :premises (@p1923 @p1922)) % 1.12/1.35 (step @p1925 :rule ho_cong :premises (@p1919 @p1902)) % 1.12/1.35 (step @p1926 :rule trans :premises (@p1925 @p1924)) % 1.12/1.35 (step @p1927 :rule cong :premises (@p1926) :args (@t2774)) % 1.12/1.35 (step @p1928 :rule nary_cong :premises (@p1927 @p1914 @p1913 @p1912) :args (@t2775)) % 1.12/1.35 (step @p1929 :rule cong :premises (@p1928) :args ((forall @t1000 @t2775))) % 1.12/1.35 (step @p1930 :rule aci_norm :args ((= (or @t2774 @t2776) @t2775))) % 1.12/1.35 (step @p1931 :rule aci_norm :args ((= (or @t2765 (or @t2761 @t1005)) @t2776))) % 1.12/1.35 (step @p1932 :rule bool-impl-elim :args (@t2760 @t1005)) % 1.12/1.35 (step @p1933 :rule nary_cong :premises (@p1914 @p1932) :args ((or @t2765 @t2777))) % 1.12/1.35 (step @p1934 :rule trans :premises (@p1933 @p1931)) % 1.12/1.35 (step @p1935 :rule bool-impl-elim :args (@t2764 @t2777)) % 1.12/1.35 (step @p1936 :rule trans :premises (@p1935 @p1934)) % 1.12/1.35 (step @p1937 :rule refl :args (@t2774)) % 1.12/1.35 (step @p1938 :rule nary_cong :premises (@p1937 @p1936) :args ((or @t2774 @t2778))) % 1.12/1.35 (step @p1939 :rule trans :premises (@p1938 @p1930)) % 1.12/1.35 (step @p1940 :rule bool-impl-elim :args (@t2773 @t2778)) % 1.12/1.35 (step @p1941 :rule trans :premises (@p1940 @p1939)) % 1.12/1.35 (step @p1942 :rule cong :premises (@p1941) :args ((forall @t1000 (=> @t2773 @t2778)))) % 1.12/1.35 (step @p1943 :rule trans :premises (@p1942 @p1929)) % 1.12/1.35 (step @p1944 :rule refl :args (@t1005)) % 1.12/1.35 (step @p1945 :rule aci_norm :args ((= @t2780 @t2759))) % 1.12/1.35 (step @p1946 :rule cong :premises (@p1945) :args (@t2781)) % 1.12/1.35 (step @p1947 :rule quant-merge-prenex :args ((= (forall @t9 @t2783) @t2781))) % 1.12/1.35 (step @p1948 :rule alpha_equiv :args (@t2784 (@list @t1471) @t2413)) % 1.12/1.35 (step @p1949 :rule nary_cong :premises (@p744 @p1948) :args (@t2785)) % 1.12/1.35 (step @p1950 :rule quant-miniscope-or :args ((= @t2783 @t2785))) % 1.12/1.35 (step @p1951 :rule trans :premises (@p1950 @p1949)) % 1.12/1.35 (step @p1952 :rule symm :premises (@p1951)) % 1.12/1.35 (step @p1953 :rule cong :premises (@p1952) :args ((forall @t9 (or @t1384 @t2789)))) % 1.12/1.35 (step @p1954 :rule trans :premises (@p1953 @p1947)) % 1.12/1.35 (step @p1955 :rule trans :premises (@p1954 @p1946)) % 1.12/1.35 (step @p1956 :rule refl :args (@t2789)) % 1.12/1.35 (step @p1957 :rule nary_cong :premises (@p758 @p1956) :args (@t2790)) % 1.12/1.35 (step @p1958 :rule cong :premises (@p1957) :args ((forall @t9 @t2790))) % 1.12/1.35 (step @p1959 :rule trans :premises (@p1958 @p1955)) % 1.12/1.35 (step @p1960 :rule bool-impl-elim :args (@t7 @t2789)) % 1.12/1.35 (step @p1961 :rule cong :premises (@p1960) :args ((forall @t9 (=> @t7 @t2789)))) % 1.12/1.35 (step @p1962 :rule trans :premises (@p1961 @p1959)) % 1.12/1.35 (step @p1963 :rule refl :args ((tptp.in @t632 @t932))) % 1.12/1.35 (step @p1964 :rule refl :args (@t1599)) % 1.12/1.35 (step @p1965 :rule cong :premises (@p1964 @p1890) :args (@t2786)) % 1.12/1.35 (step @p1966 :rule trans :premises (@p1965 @p1963)) % 1.12/1.35 (step @p1967 :rule ho_cong :premises (@p774 @p1964)) % 1.12/1.35 (step @p1968 :rule ho_cong :premises (@p1967 @p1890)) % 1.12/1.35 (step @p1969 :rule cong :premises (@p1968 @p1966) :args ((= (_ @t2791 @t932) @t2786))) % 1.12/1.35 (step @p1970 :rule symm :premises (@p1969)) % 1.12/1.35 (step @p1971 :rule refl :args (@t936)) % 1.12/1.35 (step @p1972 :rule eq_resolve :premises (@p1971 @p1970)) % 1.12/1.35 (step @p1973 :rule refl :args (@t632)) % 1.12/1.35 (step @p1974 :rule cong :premises (@p1973 @p1964) :args ((= @t632 @t1599))) % 1.12/1.35 (step @p1975 :rule symm :premises (@p1974)) % 1.12/1.35 (step @p1976 :rule eq_resolve :premises (@p1973 @p1975)) % 1.12/1.35 (step @p1977 :rule ho_cong :premises (@p774 @p1976)) % 1.12/1.35 (step @p1978 :rule ho_cong :premises (@p1977 @p1890)) % 1.12/1.35 (step @p1979 :rule trans :premises (@p1978 @p1972)) % 1.12/1.35 (step @p1980 :rule refl :args ((tptp.in @t632 @t989))) % 1.12/1.35 (step @p1981 :rule cong :premises (@p1964 @p1916) :args (@t2787)) % 1.12/1.35 (step @p1982 :rule trans :premises (@p1981 @p1980)) % 1.12/1.35 (step @p1983 :rule ho_cong :premises (@p1967 @p1916)) % 1.12/1.35 (step @p1984 :rule cong :premises (@p1983 @p1982) :args ((= (_ @t2791 @t989) @t2787))) % 1.12/1.35 (step @p1985 :rule symm :premises (@p1984)) % 1.12/1.35 (step @p1986 :rule refl :args (@t992)) % 1.12/1.35 (step @p1987 :rule eq_resolve :premises (@p1986 @p1985)) % 1.12/1.35 (step @p1988 :rule ho_cong :premises (@p1977 @p1916)) % 1.12/1.35 (step @p1989 :rule trans :premises (@p1988 @p1987)) % 1.12/1.35 (step @p1990 :rule cong :premises (@p1989) :args (@t2792)) % 1.12/1.35 (step @p1991 :rule refl :args (@t1603)) % 1.12/1.35 (step @p1992 :rule refl :args (@t354)) % 1.12/1.35 (step @p1993 :rule cong :premises (@p1992 @p1991) :args ((= @t354 @t1603))) % 1.12/1.35 (step @p1994 :rule symm :premises (@p1993)) % 1.12/1.35 (step @p1995 :rule eq_resolve :premises (@p1992 @p1994)) % 1.12/1.35 (step @p1996 :rule cong :premises (@p1995) :args (@t2793)) % 1.12/1.35 (step @p1997 :rule nary_cong :premises (@p1996 @p1990 @p1979) :args (@t2794)) % 1.12/1.35 (step @p1998 :rule cong :premises (@p1997) :args ((forall @t70 @t2794))) % 1.12/1.35 (step @p1999 :rule aci_norm :args ((= (or @t2793 (or @t2792 @t936)) @t2794))) % 1.12/1.35 (step @p2000 :rule bool-impl-elim :args (@t992 @t936)) % 1.12/1.35 (step @p2001 :rule refl :args (@t2793)) % 1.12/1.35 (step @p2002 :rule nary_cong :premises (@p2001 @p2000) :args ((or @t2793 @t1006))) % 1.12/1.35 (step @p2003 :rule trans :premises (@p2002 @p1999)) % 1.12/1.35 (step @p2004 :rule bool-impl-elim :args (@t354 @t1006)) % 1.12/1.35 (step @p2005 :rule trans :premises (@p2004 @p2003)) % 1.12/1.35 (step @p2006 :rule cong :premises (@p2005) :args (@t1007)) % 1.12/1.35 (step @p2007 :rule trans :premises (@p2006 @p1998)) % 1.12/1.35 (step @p2008 :rule cong :premises (@p811 @p2007) :args (@t1008)) % 1.12/1.35 (step @p2009 :rule cong :premises (@p2008) :args (@t1009)) % 1.12/1.35 (step @p2010 :rule trans :premises (@p2009 @p1962)) % 1.12/1.35 (step @p2011 :rule cong :premises (@p2010 @p1944) :args (@t1010)) % 1.12/1.35 (step @p2012 :rule aci_norm :args ((= @t2796 @t2763))) % 1.12/1.35 (step @p2013 :rule cong :premises (@p2012) :args (@t2797)) % 1.12/1.35 (step @p2014 :rule quant-merge-prenex :args ((= (forall @t9 @t2799) @t2797))) % 1.12/1.35 (step @p2015 :rule alpha_equiv :args (@t2800 (@list @t1477) @t2413)) % 1.12/1.35 (step @p2016 :rule nary_cong :premises (@p744 @p2015) :args (@t2801)) % 1.12/1.35 (step @p2017 :rule quant-miniscope-or :args ((= @t2799 @t2801))) % 1.12/1.35 (step @p2018 :rule trans :premises (@p2017 @p2016)) % 1.12/1.35 (step @p2019 :rule symm :premises (@p2018)) % 1.12/1.35 (step @p2020 :rule cong :premises (@p2019) :args ((forall @t9 (or @t1384 @t2803)))) % 1.12/1.35 (step @p2021 :rule trans :premises (@p2020 @p2014)) % 1.12/1.35 (step @p2022 :rule trans :premises (@p2021 @p2013)) % 1.12/1.35 (step @p2023 :rule refl :args (@t2803)) % 1.12/1.35 (step @p2024 :rule nary_cong :premises (@p758 @p2023) :args (@t2804)) % 1.12/1.35 (step @p2025 :rule cong :premises (@p2024) :args ((forall @t9 @t2804))) % 1.12/1.35 (step @p2026 :rule trans :premises (@p2025 @p2022)) % 1.12/1.35 (step @p2027 :rule bool-impl-elim :args (@t7 @t2803)) % 1.12/1.35 (step @p2028 :rule cong :premises (@p2027) :args ((forall @t9 (=> @t7 @t2803)))) % 1.12/1.35 (step @p2029 :rule trans :premises (@p2028 @p2026)) % 1.12/1.35 (step @p2030 :rule cong :premises (@p1979) :args (@t2805)) % 1.12/1.35 (step @p2031 :rule nary_cong :premises (@p1996 @p2030 @p1989) :args (@t2806)) % 1.12/1.35 (step @p2032 :rule cong :premises (@p2031) :args ((forall @t70 @t2806))) % 1.12/1.35 (step @p2033 :rule aci_norm :args ((= (or @t2793 (or @t2805 @t992)) @t2806))) % 1.12/1.35 (step @p2034 :rule bool-impl-elim :args (@t936 @t992)) % 1.12/1.35 (step @p2035 :rule nary_cong :premises (@p2001 @p2034) :args ((or @t2793 @t993))) % 1.12/1.35 (step @p2036 :rule trans :premises (@p2035 @p2033)) % 1.12/1.35 (step @p2037 :rule bool-impl-elim :args (@t354 @t993)) % 1.12/1.35 (step @p2038 :rule trans :premises (@p2037 @p2036)) % 1.12/1.35 (step @p2039 :rule cong :premises (@p2038) :args (@t994)) % 1.12/1.35 (step @p2040 :rule trans :premises (@p2039 @p2032)) % 1.12/1.35 (step @p2041 :rule cong :premises (@p811 @p2040) :args (@t995)) % 1.12/1.35 (step @p2042 :rule cong :premises (@p2041) :args (@t996)) % 1.12/1.35 (step @p2043 :rule trans :premises (@p2042 @p2029)) % 1.12/1.35 (step @p2044 :rule cong :premises (@p2043 @p2011) :args (@t1011)) % 1.12/1.35 (step @p2045 :rule beta-reduce :args ((= (_ @t2807 @t989) @t2773))) % 1.12/1.35 (step @p2046 :rule refl :args (@t989)) % 1.12/1.35 (step @p2047 :rule beta-reduce :args ((= (_ @t2808 @t1) @t2807))) % 1.12/1.35 (step @p2048 :rule beta-reduce :args ((= @t2809 @t2808))) % 1.12/1.35 (step @p2049 :rule ho_cong :premises (@p2048 @p1609)) % 1.12/1.35 (step @p2050 :rule trans :premises (@p2049 @p2047)) % 1.12/1.35 (step @p2051 :rule ho_cong :premises (@p2050 @p2046)) % 1.12/1.35 (step @p2052 :rule trans :premises (@p2051 @p2045)) % 1.12/1.35 (step @p2053 :rule cong :premises (@p2052 @p2044) :args (@t2812)) % 1.12/1.35 (step @p2054 :rule cong :premises (@p2053) :args (@t2813)) % 1.12/1.35 (step @p2055 :rule trans :premises (@p2054 @p1943)) % 1.12/1.35 (step @p2056 :rule beta-reduce :args ((= (_ @t2807 @t932) @t2769))) % 1.12/1.35 (step @p2057 :rule refl :args (@t932)) % 1.12/1.35 (step @p2058 :rule ho_cong :premises (@p2050 @p2057)) % 1.12/1.35 (step @p2059 :rule trans :premises (@p2058 @p2056)) % 1.12/1.35 (step @p2060 :rule cong :premises (@p2059 @p2055) :args (@t2815)) % 1.12/1.35 (step @p2061 :rule cong :premises (@p2060) :args (@t2816)) % 1.12/1.35 (step @p2062 :rule trans :premises (@p2061 @p1911)) % 1.12/1.35 (step @p2063 :rule refl :args (tptp.eqbreln)) % 1.12/1.35 (step @p2064 :rule cong :premises (@p2063 @p2062) :args ((= tptp.eqbreln @t2816))) % 1.12/1.35 (step @p2065 :rule refl :args (@t1011)) % 1.12/1.35 (step @p2066 :rule ho_cong :premises (@p232 @p1082)) % 1.12/1.35 (step @p2067 :rule ho_cong :premises (@p2066 @p1609)) % 1.12/1.35 (step @p2068 :rule ho_cong :premises (@p2067 @p2046)) % 1.12/1.35 (step @p2069 :rule cong :premises (@p2068 @p2065) :args (@t1012)) % 1.12/1.35 (step @p2070 :rule cong :premises (@p2069) :args (@t1013)) % 1.12/1.35 (step @p2071 :rule ho_cong :premises (@p2067 @p2057)) % 1.12/1.35 (step @p2072 :rule cong :premises (@p2071 @p2070) :args (@t1014)) % 1.12/1.35 (step @p2073 :rule cong :premises (@p2072) :args (@t1015)) % 1.12/1.35 (step @p2074 :rule cong :premises (@p2063 @p2073) :args (@t1016)) % 1.12/1.35 (step @p2075 :rule trans :premises (@p2074 @p2064)) % 1.12/1.35 (step @p2076 :rule eq_resolve :premises (@p207 @p2075)) % 1.12/1.35 (step @p2077 :rule cong :premises (@p2076 @p1874) :args (@t2817)) % 1.12/1.35 (step @p2078 :rule aci_norm :args ((= @t2819 @t1494))) % 1.12/1.35 (step @p2079 :rule cong :premises (@p2078) :args (@t2820)) % 1.12/1.35 (step @p2080 :rule quant-merge-prenex :args ((= (forall @t945 @t2822) @t2820))) % 1.12/1.35 (step @p2081 :rule alpha_equiv :args (@t2823 (@list @t1490) @t2756)) % 1.12/1.35 (step @p2082 :rule nary_cong :premises (@p1879 @p2081) :args (@t2824)) % 1.12/1.35 (step @p2083 :rule quant-miniscope-or :args ((= @t2822 @t2824))) % 1.12/1.35 (step @p2084 :rule trans :premises (@p2083 @p2082)) % 1.12/1.35 (step @p2085 :rule symm :premises (@p2084)) % 1.12/1.35 (step @p2086 :rule cong :premises (@p2085) :args ((forall @t945 (or @t1486 @t2826)))) % 1.12/1.35 (step @p2087 :rule trans :premises (@p2086 @p2080)) % 1.12/1.35 (step @p2088 :rule trans :premises (@p2087 @p2079)) % 1.12/1.35 (step @p2089 :rule refl :args (@t2826)) % 1.12/1.35 (step @p2090 :rule nary_cong :premises (@p1905 @p2089) :args (@t2827)) % 1.12/1.35 (step @p2091 :rule cong :premises (@p2090) :args ((forall @t945 @t2827))) % 1.12/1.35 (step @p2092 :rule trans :premises (@p2091 @p2088)) % 1.12/1.35 (step @p2093 :rule bool-impl-elim :args (@t2769 @t2826)) % 1.12/1.35 (step @p2094 :rule cong :premises (@p2093) :args ((forall @t945 (=> @t2769 @t2826)))) % 1.12/1.35 (step @p2095 :rule trans :premises (@p2094 @p2092)) % 1.12/1.35 (step @p2096 :rule refl :args (@t2825)) % 1.12/1.35 (step @p2097 :rule refl :args (@t991)) % 1.12/1.35 (step @p2098 :rule cong :premises (@p2097 @p2096) :args ((= @t991 @t2825))) % 1.12/1.35 (step @p2099 :rule symm :premises (@p2098)) % 1.12/1.35 (step @p2100 :rule eq_resolve :premises (@p2097 @p2099)) % 1.12/1.35 (step @p2101 :rule nary_cong :premises (@p1927 @p1914 @p2100) :args (@t2828)) % 1.12/1.35 (step @p2102 :rule cong :premises (@p2101) :args ((forall @t1000 @t2828))) % 1.12/1.35 (step @p2103 :rule aci_norm :args ((= (or @t2774 (or @t2765 @t991)) @t2828))) % 1.12/1.35 (step @p2104 :rule bool-impl-elim :args (@t2764 @t991)) % 1.12/1.35 (step @p2105 :rule nary_cong :premises (@p1937 @p2104) :args ((or @t2774 @t2829))) % 1.12/1.35 (step @p2106 :rule trans :premises (@p2105 @p2103)) % 1.12/1.35 (step @p2107 :rule bool-impl-elim :args (@t2773 @t2829)) % 1.12/1.35 (step @p2108 :rule trans :premises (@p2107 @p2106)) % 1.12/1.35 (step @p2109 :rule cong :premises (@p2108) :args ((forall @t1000 (=> @t2773 @t2829)))) % 1.12/1.35 (step @p2110 :rule trans :premises (@p2109 @p2102)) % 1.12/1.35 (step @p2111 :rule refl :args (@t991)) % 1.12/1.35 (step @p2112 :rule cong :premises (@p2043 @p2111) :args (@t997)) % 1.12/1.35 (step @p2113 :rule cong :premises (@p2052 @p2112) :args (@t2830)) % 1.12/1.35 (step @p2114 :rule cong :premises (@p2113) :args (@t2831)) % 1.12/1.35 (step @p2115 :rule trans :premises (@p2114 @p2110)) % 1.12/1.35 (step @p2116 :rule cong :premises (@p2059 @p2115) :args (@t2832)) % 1.12/1.35 (step @p2117 :rule cong :premises (@p2116) :args (@t2833)) % 1.12/1.35 (step @p2118 :rule trans :premises (@p2117 @p2095)) % 1.12/1.35 (step @p2119 :rule refl :args (tptp.subbreln)) % 1.12/1.35 (step @p2120 :rule cong :premises (@p2119 @p2118) :args ((= tptp.subbreln @t2833))) % 1.12/1.35 (step @p2121 :rule refl :args (@t997)) % 1.12/1.35 (step @p2122 :rule cong :premises (@p2068 @p2121) :args (@t999)) % 1.12/1.35 (step @p2123 :rule cong :premises (@p2122) :args (@t1001)) % 1.12/1.35 (step @p2124 :rule cong :premises (@p2071 @p2123) :args (@t1002)) % 1.12/1.35 (step @p2125 :rule cong :premises (@p2124) :args (@t1003)) % 1.12/1.35 (step @p2126 :rule cong :premises (@p2119 @p2125) :args (@t1004)) % 1.12/1.35 (step @p2127 :rule trans :premises (@p2126 @p2120)) % 1.12/1.35 (step @p2128 :rule eq_resolve :premises (@p206 @p2127)) % 1.12/1.35 (step @p2129 :rule cong :premises (@p2128 @p2077) :args (@t2834)) % 1.12/1.35 (step @p2130 :rule eq-symm :args (@t1498 @t1499)) % 1.12/1.35 (step @p2131 :rule refl :args (@t1500)) % 1.12/1.35 (step @p2132 :rule refl :args (@t1501)) % 1.12/1.35 (step @p2133 :rule refl :args (@t1502)) % 1.12/1.35 (step @p2134 :rule refl :args (@t1439)) % 1.12/1.35 (step @p2135 :rule nary_cong :premises (@p2134 @p2133 @p2132 @p2131 @p2130) :args (@t2836)) % 1.12/1.35 (step @p2136 :rule aci_norm :args ((= @t2838 @t2836))) % 1.12/1.35 (step @p2137 :rule trans :premises (@p2136 @p2135)) % 1.12/1.35 (step @p2138 :rule cong :premises (@p2137) :args (@t2839)) % 1.12/1.35 (step @p2139 :rule quant-merge-prenex :args ((= (forall @t886 @t2841) @t2839))) % 1.12/1.35 (step @p2140 :rule alpha_equiv :args (@t2842 (@list @t1497 @t1499) @t2844)) % 1.12/1.35 (step @p2141 :rule nary_cong :premises (@p1764 @p2140) :args (@t2845)) % 1.12/1.35 (step @p2142 :rule quant-miniscope-or :args ((= @t2841 @t2845))) % 1.12/1.35 (step @p2143 :rule trans :premises (@p2142 @p2141)) % 1.12/1.35 (step @p2144 :rule symm :premises (@p2143)) % 1.12/1.35 (step @p2145 :rule cong :premises (@p2144) :args ((forall @t886 (or @t1439 @t2849)))) % 1.12/1.35 (step @p2146 :rule trans :premises (@p2145 @p2139)) % 1.12/1.35 (step @p2147 :rule trans :premises (@p2146 @p2138)) % 1.12/1.35 (step @p2148 :rule refl :args (@t2849)) % 1.12/1.35 (step @p2149 :rule nary_cong :premises (@p1576 @p2148) :args (@t2850)) % 1.12/1.35 (step @p2150 :rule cong :premises (@p2149) :args ((forall @t886 @t2850))) % 1.12/1.35 (step @p2151 :rule trans :premises (@p2150 @p2147)) % 1.12/1.35 (step @p2152 :rule bool-impl-elim :args (@t904 @t2849)) % 1.12/1.35 (step @p2153 :rule cong :premises (@p2152) :args ((forall @t886 (=> @t904 @t2849)))) % 1.12/1.35 (step @p2154 :rule trans :premises (@p2153 @p2151)) % 1.12/1.35 (step @p2155 :rule eq-symm :args (@t2843 @t1433)) % 1.12/1.35 (step @p2156 :rule refl :args (@t2846)) % 1.12/1.35 (step @p2157 :rule refl :args (@t2847)) % 1.12/1.35 (step @p2158 :rule nary_cong :premises (@p904 @p2157 @p2156 @p2155) :args (@t2852)) % 1.12/1.35 (step @p2159 :rule aci_norm :args ((= @t2854 @t2852))) % 1.12/1.35 (step @p2160 :rule trans :premises (@p2159 @p2158)) % 1.12/1.35 (step @p2161 :rule cong :premises (@p2160) :args (@t2855)) % 1.12/1.35 (step @p2162 :rule quant-merge-prenex :args ((= (forall @t9 @t2857) @t2855))) % 1.12/1.35 (step @p2163 :rule alpha_equiv :args (@t2858 (@list @t2843) @t2413)) % 1.12/1.35 (step @p2164 :rule nary_cong :premises (@p744 @p2163) :args (@t2859)) % 1.12/1.35 (step @p2165 :rule quant-miniscope-or :args ((= @t2857 @t2859))) % 1.12/1.35 (step @p2166 :rule trans :premises (@p2165 @p2164)) % 1.12/1.35 (step @p2167 :rule symm :premises (@p2166)) % 1.12/1.35 (step @p2168 :rule cong :premises (@p2167) :args ((forall @t9 (or @t1384 @t2861)))) % 1.12/1.35 (step @p2169 :rule trans :premises (@p2168 @p2162)) % 1.12/1.35 (step @p2170 :rule trans :premises (@p2169 @p2161)) % 1.12/1.35 (step @p2171 :rule refl :args (@t2861)) % 1.12/1.35 (step @p2172 :rule nary_cong :premises (@p758 @p2171) :args (@t2862)) % 1.12/1.35 (step @p2173 :rule cong :premises (@p2172) :args ((forall @t9 @t2862))) % 1.12/1.35 (step @p2174 :rule trans :premises (@p2173 @p2170)) % 1.12/1.35 (step @p2175 :rule bool-impl-elim :args (@t7 @t2861)) % 1.12/1.35 (step @p2176 :rule cong :premises (@p2175) :args ((forall @t9 (=> @t7 @t2861)))) % 1.12/1.35 (step @p2177 :rule trans :premises (@p2176 @p2174)) % 1.12/1.35 (step @p2178 :rule cong :premises (@p863 @p1554) :args (@t2863)) % 1.12/1.35 (step @p2179 :rule refl :args ((tptp.in @t632 @t877))) % 1.12/1.35 (step @p2180 :rule cong :premises (@p1964 @p1558) :args (@t2860)) % 1.12/1.35 (step @p2181 :rule trans :premises (@p2180 @p2179)) % 1.12/1.35 (step @p2182 :rule ho_cong :premises (@p1967 @p1558)) % 1.12/1.35 (step @p2183 :rule cong :premises (@p2182 @p2181) :args ((= (_ @t2791 @t877) @t2860))) % 1.12/1.35 (step @p2184 :rule symm :premises (@p2183)) % 1.12/1.35 (step @p2185 :rule refl :args (@t878)) % 1.12/1.35 (step @p2186 :rule eq_resolve :premises (@p2185 @p2184)) % 1.12/1.35 (step @p2187 :rule ho_cong :premises (@p1977 @p1558)) % 1.12/1.35 (step @p2188 :rule trans :premises (@p2187 @p2186)) % 1.12/1.35 (step @p2189 :rule cong :premises (@p2188) :args (@t2864)) % 1.12/1.35 (step @p2190 :rule nary_cong :premises (@p1996 @p2189 @p2178) :args (@t2865)) % 1.12/1.35 (step @p2191 :rule cong :premises (@p2190) :args ((forall @t70 @t2865))) % 1.12/1.35 (step @p2192 :rule aci_norm :args ((= (or @t2793 (or @t2864 @t2863)) @t2865))) % 1.12/1.35 (step @p2193 :rule bool-impl-elim :args (@t878 @t2863)) % 1.12/1.35 (step @p2194 :rule nary_cong :premises (@p2001 @p2193) :args ((or @t2793 @t2866))) % 1.12/1.35 (step @p2195 :rule trans :premises (@p2194 @p2192)) % 1.12/1.35 (step @p2196 :rule bool-impl-elim :args (@t354 @t2866)) % 1.12/1.35 (step @p2197 :rule trans :premises (@p2196 @p2195)) % 1.12/1.35 (step @p2198 :rule cong :premises (@p2197) :args ((forall @t70 (=> @t354 @t2866)))) % 1.12/1.35 (step @p2199 :rule trans :premises (@p2198 @p2191)) % 1.12/1.35 (step @p2200 :rule eq-symm :args (@t896 @t19)) % 1.12/1.35 (step @p2201 :rule refl :args (@t878)) % 1.12/1.35 (step @p2202 :rule cong :premises (@p2201 @p2200) :args (@t961)) % 1.12/1.35 (step @p2203 :rule refl :args (@t354)) % 1.12/1.35 (step @p2204 :rule cong :premises (@p2203 @p2202) :args (@t962)) % 1.12/1.35 (step @p2205 :rule cong :premises (@p2204) :args (@t963)) % 1.12/1.35 (step @p2206 :rule trans :premises (@p2205 @p2199)) % 1.12/1.35 (step @p2207 :rule cong :premises (@p811 @p2206) :args (@t964)) % 1.12/1.35 (step @p2208 :rule cong :premises (@p2207) :args (@t965)) % 1.12/1.35 (step @p2209 :rule trans :premises (@p2208 @p2177)) % 1.12/1.35 (step @p2210 :rule cong :premises (@p1583 @p2209) :args (@t986)) % 1.12/1.35 (step @p2211 :rule cong :premises (@p2210) :args (@t987)) % 1.12/1.35 (step @p2212 :rule trans :premises (@p2211 @p2154)) % 1.12/1.35 (step @p2213 :rule refl :args (tptp.funcGraphProp4)) % 1.12/1.35 (step @p2214 :rule cong :premises (@p2213 @p2212) :args (@t988)) % 1.12/1.35 (step @p2215 :rule eq_resolve :premises (@p205 @p2214)) % 1.12/1.35 (step @p2216 :rule cong :premises (@p2215 @p2129) :args (@t2867)) % 1.12/1.35 (step @p2217 :rule aci_norm :args ((= @t2869 @t1515))) % 1.12/1.35 (step @p2218 :rule cong :premises (@p2217) :args (@t2870)) % 1.12/1.35 (step @p2219 :rule quant-merge-prenex :args ((= (forall @t886 @t2872) @t2870))) % 1.12/1.35 (step @p2220 :rule alpha_equiv :args (@t2873 (@list @t1509 @t1506 @t1505) (@list @t969 @t2875 @t2874))) % 1.12/1.35 (step @p2221 :rule nary_cong :premises (@p1833 @p2220) :args (@t2876)) % 1.12/1.35 (step @p2222 :rule quant-miniscope-or :args ((= @t2872 @t2876))) % 1.12/1.35 (step @p2223 :rule trans :premises (@p2222 @p2221)) % 1.12/1.35 (step @p2224 :rule symm :premises (@p2223)) % 1.12/1.35 (step @p2225 :rule cong :premises (@p2224) :args ((forall @t886 (or @t1453 @t2884)))) % 1.12/1.35 (step @p2226 :rule trans :premises (@p2225 @p2219)) % 1.12/1.35 (step @p2227 :rule trans :premises (@p2226 @p2218)) % 1.12/1.35 (step @p2228 :rule refl :args (@t2884)) % 1.12/1.35 (step @p2229 :rule nary_cong :premises (@p1708 @p2228) :args (@t2885)) % 1.12/1.35 (step @p2230 :rule cong :premises (@p2229) :args ((forall @t886 @t2885))) % 1.12/1.35 (step @p2231 :rule trans :premises (@p2230 @p2227)) % 1.12/1.35 (step @p2232 :rule bool-impl-elim :args (@t884 @t2884)) % 1.12/1.35 (step @p2233 :rule cong :premises (@p2232) :args ((forall @t886 (=> @t884 @t2884)))) % 1.12/1.35 (step @p2234 :rule trans :premises (@p2233 @p2231)) % 1.12/1.35 (step @p2235 :rule aci_norm :args ((= @t2887 @t2882))) % 1.12/1.35 (step @p2236 :rule cong :premises (@p2235) :args (@t2888)) % 1.12/1.35 (step @p2237 :rule quant-merge-prenex :args ((= (forall @t981 @t2890) @t2888))) % 1.12/1.35 (step @p2238 :rule alpha_equiv :args (@t2891 (@list @t2875 @t2874) (@list @t4 @t2892))) % 1.12/1.35 (step @p2239 :rule refl :args (@t2744)) % 1.12/1.35 (step @p2240 :rule nary_cong :premises (@p2239 @p1780 @p2238) :args (@t2893)) % 1.12/1.35 (step @p2241 :rule quant-miniscope-or :args ((= @t2890 @t2893))) % 1.12/1.35 (step @p2242 :rule trans :premises (@p2241 @p2240)) % 1.12/1.35 (step @p2243 :rule symm :premises (@p2242)) % 1.12/1.35 (step @p2244 :rule cong :premises (@p2243) :args ((forall @t981 (or @t2744 @t2726 @t2900)))) % 1.12/1.35 (step @p2245 :rule trans :premises (@p2244 @p2237)) % 1.12/1.35 (step @p2246 :rule trans :premises (@p2245 @p2236)) % 1.12/1.35 (step @p2247 :rule refl :args (@t2900)) % 1.12/1.35 (step @p2248 :rule nary_cong :premises (@p1853 @p1780 @p2247) :args (@t2901)) % 1.12/1.35 (step @p2249 :rule cong :premises (@p2248) :args ((forall @t981 @t2901))) % 1.12/1.35 (step @p2250 :rule trans :premises (@p2249 @p2246)) % 1.12/1.35 (step @p2251 :rule aci_norm :args ((= (or @t2747 (or @t2726 @t2900)) @t2901))) % 1.12/1.35 (step @p2252 :rule bool-impl-elim :args (@t2725 @t2900)) % 1.12/1.35 (step @p2253 :rule nary_cong :premises (@p1857 @p2252) :args ((or @t2747 @t2902))) % 1.12/1.35 (step @p2254 :rule trans :premises (@p2253 @p2251)) % 1.12/1.35 (step @p2255 :rule bool-impl-elim :args (@t979 @t2902)) % 1.12/1.35 (step @p2256 :rule trans :premises (@p2255 @p2254)) % 1.12/1.35 (step @p2257 :rule cong :premises (@p2256) :args ((forall @t981 (=> @t979 @t2902)))) % 1.12/1.35 (step @p2258 :rule trans :premises (@p2257 @p2250)) % 1.12/1.35 (step @p2259 :rule aci_norm :args ((= @t2904 @t2898))) % 1.12/1.35 (step @p2260 :rule cong :premises (@p2259) :args (@t2905)) % 1.12/1.35 (step @p2261 :rule quant-merge-prenex :args ((= (forall @t9 @t2907) @t2905))) % 1.12/1.35 (step @p2262 :rule alpha_equiv :args (@t2908 (@list @t2892) @t2413)) % 1.12/1.35 (step @p2263 :rule nary_cong :premises (@p744 @p2262) :args (@t2909)) % 1.12/1.35 (step @p2264 :rule quant-miniscope-or :args ((= @t2907 @t2909))) % 1.12/1.35 (step @p2265 :rule trans :premises (@p2264 @p2263)) % 1.12/1.35 (step @p2266 :rule symm :premises (@p2265)) % 1.12/1.35 (step @p2267 :rule cong :premises (@p2266) :args ((forall @t9 (or @t1384 @t2911)))) % 1.12/1.35 (step @p2268 :rule trans :premises (@p2267 @p2261)) % 1.12/1.35 (step @p2269 :rule trans :premises (@p2268 @p2260)) % 1.12/1.35 (step @p2270 :rule refl :args (@t2911)) % 1.12/1.35 (step @p2271 :rule nary_cong :premises (@p758 @p2270) :args (@t2912)) % 1.12/1.35 (step @p2272 :rule cong :premises (@p2271) :args ((forall @t9 @t2912))) % 1.12/1.35 (step @p2273 :rule trans :premises (@p2272 @p2269)) % 1.12/1.35 (step @p2274 :rule bool-impl-elim :args (@t7 @t2911)) % 1.12/1.35 (step @p2275 :rule cong :premises (@p2274) :args ((forall @t9 (=> @t7 @t2911)))) % 1.12/1.35 (step @p2276 :rule trans :premises (@p2275 @p2273)) % 1.12/1.35 (step @p2277 :rule refl :args ((tptp.in @t632 @t969))) % 1.12/1.35 (step @p2278 :rule cong :premises (@p1964 @p1782) :args (@t2910)) % 1.12/1.35 (step @p2279 :rule trans :premises (@p2278 @p2277)) % 1.12/1.35 (step @p2280 :rule ho_cong :premises (@p1967 @p1782)) % 1.12/1.35 (step @p2281 :rule cong :premises (@p2280 @p2279) :args ((= (_ @t2791 @t969) @t2910))) % 1.12/1.35 (step @p2282 :rule symm :premises (@p2281)) % 1.12/1.35 (step @p2283 :rule refl :args (@t970)) % 1.12/1.35 (step @p2284 :rule eq_resolve :premises (@p2283 @p2282)) % 1.12/1.35 (step @p2285 :rule ho_cong :premises (@p1977 @p1782)) % 1.12/1.35 (step @p2286 :rule trans :premises (@p2285 @p2284)) % 1.12/1.35 (step @p2287 :rule cong :premises (@p2286) :args (@t2913)) % 1.12/1.35 (step @p2288 :rule nary_cong :premises (@p1996 @p2287 @p2188) :args (@t2914)) % 1.12/1.35 (step @p2289 :rule cong :premises (@p2288) :args ((forall @t70 @t2914))) % 1.12/1.35 (step @p2290 :rule aci_norm :args ((= (or @t2793 (or @t2913 @t878)) @t2914))) % 1.12/1.35 (step @p2291 :rule bool-impl-elim :args (@t970 @t878)) % 1.12/1.35 (step @p2292 :rule nary_cong :premises (@p2001 @p2291) :args ((or @t2793 @t971))) % 1.12/1.35 (step @p2293 :rule trans :premises (@p2292 @p2290)) % 1.12/1.35 (step @p2294 :rule bool-impl-elim :args (@t354 @t971)) % 1.12/1.35 (step @p2295 :rule trans :premises (@p2294 @p2293)) % 1.12/1.35 (step @p2296 :rule cong :premises (@p2295) :args (@t972)) % 1.12/1.35 (step @p2297 :rule trans :premises (@p2296 @p2289)) % 1.12/1.35 (step @p2298 :rule cong :premises (@p811 @p2297) :args (@t973)) % 1.12/1.35 (step @p2299 :rule cong :premises (@p2298) :args (@t974)) % 1.12/1.35 (step @p2300 :rule trans :premises (@p2299 @p2276)) % 1.12/1.35 (step @p2301 :rule cong :premises (@p1816 @p2300) :args (@t978)) % 1.12/1.35 (step @p2302 :rule cong :premises (@p1864 @p2301) :args (@t980)) % 1.12/1.35 (step @p2303 :rule cong :premises (@p2302) :args (@t982)) % 1.12/1.35 (step @p2304 :rule trans :premises (@p2303 @p2258)) % 1.12/1.35 (step @p2305 :rule cong :premises (@p1714 @p2304) :args (@t983)) % 1.12/1.35 (step @p2306 :rule cong :premises (@p2305) :args (@t984)) % 1.12/1.35 (step @p2307 :rule trans :premises (@p2306 @p2234)) % 1.12/1.35 (step @p2308 :rule refl :args (tptp.funcextLem)) % 1.12/1.35 (step @p2309 :rule cong :premises (@p2308 @p2307) :args (@t985)) % 1.12/1.35 (step @p2310 :rule eq_resolve :premises (@p204 @p2309)) % 1.12/1.35 (step @p2311 :rule cong :premises (@p2310 @p2216) :args (@t2915)) % 1.12/1.35 (step @p2312 :rule eq-symm :args (@t1519 @t1520)) % 1.12/1.35 (step @p2313 :rule refl :args (@t1521)) % 1.12/1.35 (step @p2314 :rule refl :args (@t1522)) % 1.12/1.35 (step @p2315 :rule refl :args (@t1523)) % 1.12/1.35 (step @p2316 :rule refl :args (@t1453)) % 1.12/1.35 (step @p2317 :rule nary_cong :premises (@p2316 @p2315 @p2314 @p2313 @p2312) :args (@t2917)) % 1.12/1.35 (step @p2318 :rule aci_norm :args ((= @t2919 @t2917))) % 1.12/1.35 (step @p2319 :rule trans :premises (@p2318 @p2317)) % 1.12/1.35 (step @p2320 :rule cong :premises (@p2319) :args (@t2920)) % 1.12/1.35 (step @p2321 :rule quant-merge-prenex :args ((= (forall @t886 @t2922) @t2920))) % 1.12/1.35 (step @p2322 :rule alpha_equiv :args (@t2923 (@list @t1518 @t1520) @t2844)) % 1.12/1.35 (step @p2323 :rule nary_cong :premises (@p1833 @p2322) :args (@t2924)) % 1.12/1.35 (step @p2324 :rule quant-miniscope-or :args ((= @t2922 @t2924))) % 1.12/1.35 (step @p2325 :rule trans :premises (@p2324 @p2323)) % 1.12/1.35 (step @p2326 :rule symm :premises (@p2325)) % 1.12/1.35 (step @p2327 :rule cong :premises (@p2326) :args ((forall @t886 (or @t1453 @t2849)))) % 1.12/1.35 (step @p2328 :rule trans :premises (@p2327 @p2321)) % 1.12/1.35 (step @p2329 :rule trans :premises (@p2328 @p2320)) % 1.12/1.35 (step @p2330 :rule nary_cong :premises (@p1708 @p2148) :args (@t2925)) % 1.12/1.35 (step @p2331 :rule cong :premises (@p2330) :args ((forall @t886 @t2925))) % 1.12/1.35 (step @p2332 :rule trans :premises (@p2331 @p2329)) % 1.12/1.35 (step @p2333 :rule bool-impl-elim :args (@t884 @t2849)) % 1.12/1.35 (step @p2334 :rule cong :premises (@p2333) :args ((forall @t886 (=> @t884 @t2849)))) % 1.12/1.35 (step @p2335 :rule trans :premises (@p2334 @p2332)) % 1.12/1.35 (step @p2336 :rule cong :premises (@p1714 @p2209) :args (@t966)) % 1.12/1.35 (step @p2337 :rule cong :premises (@p2336) :args (@t967)) % 1.12/1.35 (step @p2338 :rule trans :premises (@p2337 @p2335)) % 1.12/1.35 (step @p2339 :rule refl :args (tptp.funcGraphProp2)) % 1.12/1.35 (step @p2340 :rule cong :premises (@p2339 @p2338) :args (@t968)) % 1.12/1.35 (step @p2341 :rule eq_resolve :premises (@p203 @p2340)) % 1.12/1.35 (step @p2342 :rule cong :premises (@p2341 @p2311) :args (@t2926)) % 1.12/1.35 (step @p2343 :rule aci_norm :args ((= @t2928 @t1529))) % 1.12/1.35 (step @p2344 :rule cong :premises (@p2343) :args (@t2929)) % 1.12/1.35 (step @p2345 :rule quant-merge-prenex :args ((= (forall @t886 @t2931) @t2929))) % 1.12/1.35 (step @p2346 :rule alpha_equiv :args (@t2932 (@list @t1526) @t2487)) % 1.12/1.35 (step @p2347 :rule nary_cong :premises (@p1764 @p2346) :args (@t2933)) % 1.12/1.35 (step @p2348 :rule quant-miniscope-or :args ((= @t2931 @t2933))) % 1.12/1.35 (step @p2349 :rule trans :premises (@p2348 @p2347)) % 1.12/1.35 (step @p2350 :rule symm :premises (@p2349)) % 1.12/1.35 (step @p2351 :rule cong :premises (@p2350) :args ((forall @t886 (or @t1439 @t2936)))) % 1.12/1.35 (step @p2352 :rule trans :premises (@p2351 @p2345)) % 1.12/1.35 (step @p2353 :rule trans :premises (@p2352 @p2344)) % 1.12/1.35 (step @p2354 :rule refl :args (@t2936)) % 1.12/1.35 (step @p2355 :rule nary_cong :premises (@p1576 @p2354) :args (@t2937)) % 1.12/1.35 (step @p2356 :rule cong :premises (@p2355) :args ((forall @t886 @t2937))) % 1.12/1.35 (step @p2357 :rule trans :premises (@p2356 @p2353)) % 1.12/1.35 (step @p2358 :rule bool-impl-elim :args (@t904 @t2936)) % 1.12/1.35 (step @p2359 :rule cong :premises (@p2358) :args ((forall @t886 (=> @t904 @t2936)))) % 1.12/1.35 (step @p2360 :rule trans :premises (@p2359 @p2357)) % 1.12/1.35 (step @p2361 :rule refl :args ((tptp.in @t952 @t877))) % 1.12/1.35 (step @p2362 :rule refl :args ((tptp.kpair @t4 @t896))) % 1.12/1.35 (step @p2363 :rule cong :premises (@p768 @p1540) :args (@t2934)) % 1.12/1.35 (step @p2364 :rule trans :premises (@p2363 @p2362)) % 1.12/1.35 (step @p2365 :rule cong :premises (@p2364 @p1558) :args (@t2935)) % 1.12/1.35 (step @p2366 :rule trans :premises (@p2365 @p2361)) % 1.12/1.35 (step @p2367 :rule ho_cong :premises (@p774 @p2364)) % 1.12/1.35 (step @p2368 :rule ho_cong :premises (@p2367 @p1558)) % 1.12/1.35 (step @p2369 :rule cong :premises (@p2368 @p2366) :args ((= (_ (_ tptp.in @t2934) @t877) @t2935))) % 1.12/1.35 (step @p2370 :rule symm :premises (@p2369)) % 1.12/1.35 (step @p2371 :rule refl :args (@t953)) % 1.12/1.35 (step @p2372 :rule eq_resolve :premises (@p2371 @p2370)) % 1.12/1.35 (step @p2373 :rule refl :args (@t631)) % 1.12/1.35 (step @p2374 :rule ho_cong :premises (@p2373 @p1540)) % 1.12/1.35 (step @p2375 :rule cong :premises (@p2374 @p2364) :args ((= (_ @t631 @t1433) @t2934))) % 1.12/1.35 (step @p2376 :rule symm :premises (@p2375)) % 1.12/1.35 (step @p2377 :rule refl :args (@t952)) % 1.12/1.35 (step @p2378 :rule eq_resolve :premises (@p2377 @p2376)) % 1.12/1.35 (step @p2379 :rule ho_cong :premises (@p2373 @p1554)) % 1.12/1.35 (step @p2380 :rule trans :premises (@p2379 @p2378)) % 1.12/1.35 (step @p2381 :rule ho_cong :premises (@p774 @p2380)) % 1.12/1.35 (step @p2382 :rule ho_cong :premises (@p2381 @p1558)) % 1.12/1.35 (step @p2383 :rule trans :premises (@p2382 @p2372)) % 1.12/1.35 (step @p2384 :rule nary_cong :premises (@p758 @p2383) :args (@t2938)) % 1.12/1.35 (step @p2385 :rule cong :premises (@p2384) :args ((forall @t9 @t2938))) % 1.12/1.35 (step @p2386 :rule bool-impl-elim :args (@t7 @t953)) % 1.12/1.35 (step @p2387 :rule cong :premises (@p2386) :args (@t954)) % 1.12/1.35 (step @p2388 :rule trans :premises (@p2387 @p2385)) % 1.12/1.35 (step @p2389 :rule cong :premises (@p1583 @p2388) :args (@t958)) % 1.12/1.35 (step @p2390 :rule cong :premises (@p2389) :args (@t959)) % 1.12/1.35 (step @p2391 :rule trans :premises (@p2390 @p2360)) % 1.12/1.35 (step @p2392 :rule refl :args (tptp.funcGraphProp3)) % 1.12/1.35 (step @p2393 :rule cong :premises (@p2392 @p2391) :args (@t960)) % 1.12/1.35 (step @p2394 :rule eq_resolve :premises (@p202 @p2393)) % 1.12/1.35 (step @p2395 :rule cong :premises (@p2394 @p2342) :args (@t2939)) % 1.12/1.35 (step @p2396 :rule aci_norm :args ((= @t2941 @t1535))) % 1.12/1.35 (step @p2397 :rule cong :premises (@p2396) :args (@t2942)) % 1.12/1.35 (step @p2398 :rule quant-merge-prenex :args ((= (forall @t886 @t2944) @t2942))) % 1.12/1.35 (step @p2399 :rule alpha_equiv :args (@t2945 (@list @t1532) @t2487)) % 1.12/1.35 (step @p2400 :rule nary_cong :premises (@p1833 @p2399) :args (@t2946)) % 1.12/1.35 (step @p2401 :rule quant-miniscope-or :args ((= @t2944 @t2946))) % 1.12/1.35 (step @p2402 :rule trans :premises (@p2401 @p2400)) % 1.12/1.35 (step @p2403 :rule symm :premises (@p2402)) % 1.12/1.35 (step @p2404 :rule cong :premises (@p2403) :args ((forall @t886 (or @t1453 @t2936)))) % 1.12/1.35 (step @p2405 :rule trans :premises (@p2404 @p2398)) % 1.12/1.35 (step @p2406 :rule trans :premises (@p2405 @p2397)) % 1.12/1.35 (step @p2407 :rule nary_cong :premises (@p1708 @p2354) :args (@t2947)) % 1.12/1.35 (step @p2408 :rule cong :premises (@p2407) :args ((forall @t886 @t2947))) % 1.12/1.35 (step @p2409 :rule trans :premises (@p2408 @p2406)) % 1.12/1.35 (step @p2410 :rule bool-impl-elim :args (@t884 @t2936)) % 1.12/1.35 (step @p2411 :rule cong :premises (@p2410) :args ((forall @t886 (=> @t884 @t2936)))) % 1.12/1.35 (step @p2412 :rule trans :premises (@p2411 @p2409)) % 1.12/1.35 (step @p2413 :rule cong :premises (@p1714 @p2388) :args (@t955)) % 1.12/1.35 (step @p2414 :rule cong :premises (@p2413) :args (@t956)) % 1.12/1.35 (step @p2415 :rule trans :premises (@p2414 @p2412)) % 1.12/1.35 (step @p2416 :rule refl :args (tptp.funcGraphProp1)) % 1.12/1.35 (step @p2417 :rule cong :premises (@p2416 @p2415) :args (@t957)) % 1.12/1.35 (step @p2418 :rule eq_resolve :premises (@p201 @p2417)) % 1.12/1.35 (step @p2419 :rule cong :premises (@p2418 @p2395) :args (@t2948)) % 1.12/1.35 (step @p2420 :rule aci_norm :args ((= @t2950 @t1548))) % 1.12/1.35 (step @p2421 :rule cong :premises (@p2420) :args (@t2951)) % 1.12/1.35 (step @p2422 :rule quant-merge-prenex :args ((= (forall @t311 @t2953) @t2951))) % 1.12/1.35 (step @p2423 :rule alpha_equiv :args (@t2954 (@list @t1539 @t1538) (@list @t4 @t1703))) % 1.12/1.35 (step @p2424 :rule refl :args (@t1547)) % 1.12/1.35 (step @p2425 :rule nary_cong :premises (@p2424 @p2423) :args (@t2955)) % 1.12/1.35 (step @p2426 :rule quant-miniscope-or :args ((= @t2953 @t2955))) % 1.12/1.35 (step @p2427 :rule trans :premises (@p2426 @p2425)) % 1.12/1.35 (step @p2428 :rule symm :premises (@p2427)) % 1.12/1.35 (step @p2429 :rule cong :premises (@p2428) :args ((forall @t311 (or @t1547 @t1711)))) % 1.12/1.35 (step @p2430 :rule trans :premises (@p2429 @p2422)) % 1.12/1.35 (step @p2431 :rule trans :premises (@p2430 @p2421)) % 1.12/1.35 (step @p2432 :rule refl :args (@t1711)) % 1.12/1.35 (step @p2433 :rule lambda-elim :args ((= @t2956 @t143))) % 1.12/1.35 (step @p2434 :rule cong :premises (@p1082 @p2433) :args (@t2957)) % 1.12/1.35 (step @p2435 :rule cong :premises (@p2434) :args (@t2958)) % 1.12/1.35 (step @p2436 :rule cong :premises (@p2435) :args (@t2959)) % 1.12/1.35 (step @p2437 :rule nary_cong :premises (@p2436 @p2432) :args (@t2960)) % 1.12/1.35 (step @p2438 :rule cong :premises (@p2437) :args ((forall @t311 @t2960))) % 1.12/1.35 (step @p2439 :rule trans :premises (@p2438 @p2431)) % 1.12/1.35 (step @p2440 :rule refl :args (@t1711)) % 1.12/1.35 (step @p2441 :rule refl :args ((tptp.singleton @t306))) % 1.12/1.35 (step @p2442 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 1.12/1.35 (step @p2443 :rule refl :args (@t1707)) % 1.12/1.35 (step @p2444 :rule cong :premises (@p2443) :args (@t2956)) % 1.12/1.35 (step @p2445 :rule cong :premises (@p1055 @p2444) :args (@t2957)) % 1.12/1.35 (step @p2446 :rule trans :premises (@p2445 @p2442)) % 1.12/1.35 (step @p2447 :rule cong :premises (@p2446) :args (@t2958)) % 1.12/1.35 (step @p2448 :rule trans :premises (@p2447 @p2441)) % 1.12/1.35 (step @p2449 :rule ho_cong :premises (@p1110 @p2446)) % 1.12/1.35 (step @p2450 :rule cong :premises (@p2449 @p2448) :args ((= (_ tptp.singleton @t2957) @t2958))) % 1.12/1.35 (step @p2451 :rule symm :premises (@p2450)) % 1.12/1.35 (step @p2452 :rule refl :args (@t715)) % 1.12/1.35 (step @p2453 :rule eq_resolve :premises (@p2452 @p2451)) % 1.12/1.35 (step @p2454 :rule refl :args (@t155)) % 1.12/1.35 (step @p2455 :rule ho_cong :premises (@p2454 @p2444)) % 1.12/1.35 (step @p2456 :rule cong :premises (@p2455 @p2446) :args ((= (_ @t155 @t2956) @t2957))) % 1.12/1.35 (step @p2457 :rule symm :premises (@p2456)) % 1.12/1.35 (step @p2458 :rule refl :args (@t306)) % 1.12/1.35 (step @p2459 :rule eq_resolve :premises (@p2458 @p2457)) % 1.12/1.35 (step @p2460 :rule refl :args (@t144)) % 1.12/1.35 (step @p2461 :rule cong :premises (@p2460 @p2443) :args ((= @t144 @t1707))) % 1.12/1.35 (step @p2462 :rule symm :premises (@p2461)) % 1.12/1.35 (step @p2463 :rule eq_resolve :premises (@p2460 @p2462)) % 1.12/1.35 (step @p2464 :rule cong :premises (@p2463) :args (@t145)) % 1.12/1.35 (step @p2465 :rule ho_cong :premises (@p2454 @p2464)) % 1.12/1.35 (step @p2466 :rule trans :premises (@p2465 @p2459)) % 1.12/1.35 (step @p2467 :rule ho_cong :premises (@p1110 @p2466)) % 1.12/1.35 (step @p2468 :rule trans :premises (@p2467 @p2453)) % 1.12/1.35 (step @p2469 :rule cong :premises (@p2468) :args (@t2961)) % 1.12/1.35 (step @p2470 :rule nary_cong :premises (@p2469 @p2440) :args (@t2962)) % 1.12/1.35 (step @p2471 :rule cong :premises (@p2470) :args ((forall @t311 @t2962))) % 1.12/1.35 (step @p2472 :rule trans :premises (@p2471 @p2439)) % 1.12/1.35 (step @p2473 :rule bool-impl-elim :args (@t715 @t1711)) % 1.12/1.35 (step @p2474 :rule cong :premises (@p2473) :args ((forall @t311 (=> @t715 @t1711)))) % 1.12/1.35 (step @p2475 :rule trans :premises (@p2474 @p2472)) % 1.12/1.35 (step @p2476 :rule aci_norm :args ((= @t2964 @t1709))) % 1.12/1.35 (step @p2477 :rule cong :premises (@p2476) :args (@t2965)) % 1.12/1.35 (step @p2478 :rule quant-merge-prenex :args ((= (forall @t9 @t2967) @t2965))) % 1.12/1.35 (step @p2479 :rule alpha_equiv :args (@t2968 (@list @t1703) @t2413)) % 1.12/1.35 (step @p2480 :rule refl :args (@t1708)) % 1.12/1.35 (step @p2481 :rule nary_cong :premises (@p744 @p2480 @p2479) :args (@t2969)) % 1.12/1.35 (step @p2482 :rule quant-miniscope-or :args ((= @t2967 @t2969))) % 1.12/1.35 (step @p2483 :rule trans :premises (@p2482 @p2481)) % 1.12/1.35 (step @p2484 :rule symm :premises (@p2483)) % 1.12/1.35 (step @p2485 :rule cong :premises (@p2484) :args ((forall @t9 (or @t1384 @t1708 @t1720)))) % 1.12/1.35 (step @p2486 :rule trans :premises (@p2485 @p2478)) % 1.12/1.35 (step @p2487 :rule trans :premises (@p2486 @p2477)) % 1.12/1.35 (step @p2488 :rule refl :args (@t1720)) % 1.12/1.35 (step @p2489 :rule cong :premises (@p2463) :args (@t317)) % 1.12/1.35 (step @p2490 :rule nary_cong :premises (@p758 @p2489 @p2488) :args (@t2970)) % 1.12/1.35 (step @p2491 :rule cong :premises (@p2490) :args ((forall @t9 @t2970))) % 1.12/1.35 (step @p2492 :rule trans :premises (@p2491 @p2487)) % 1.12/1.35 (step @p2493 :rule aci_norm :args ((= (or @t197 @t2971) @t2970))) % 1.12/1.35 (step @p2494 :rule bool-impl-elim :args (@t7 @t2971)) % 1.12/1.35 (step @p2495 :rule trans :premises (@p2494 @p2493)) % 1.12/1.35 (step @p2496 :rule cong :premises (@p2495) :args ((forall @t9 (=> @t7 @t2971)))) % 1.12/1.35 (step @p2497 :rule trans :premises (@p2496 @p2492)) % 1.12/1.35 (step @p2498 :rule refl :args (@t129)) % 1.12/1.35 (step @p2499 :rule refl :args (@t1716)) % 1.12/1.35 (step @p2500 :rule refl :args (@t153)) % 1.12/1.35 (step @p2501 :rule cong :premises (@p2500 @p2499) :args ((= @t153 @t1716))) % 1.12/1.35 (step @p2502 :rule symm :premises (@p2501)) % 1.12/1.35 (step @p2503 :rule eq_resolve :premises (@p2500 @p2502)) % 1.12/1.35 (step @p2504 :rule cong :premises (@p2503) :args (@t2972)) % 1.12/1.35 (step @p2505 :rule nary_cong :premises (@p805 @p2504 @p2498) :args (@t2973)) % 1.12/1.35 (step @p2506 :rule cong :premises (@p2505) :args (@t2974)) % 1.12/1.35 (step @p2507 :rule refl :args (@t317)) % 1.12/1.35 (step @p2508 :rule nary_cong :premises (@p2507 @p2506) :args (@t2975)) % 1.12/1.35 (step @p2509 :rule quant-miniscope-or :args ((= (forall @t70 @t2976) @t2975))) % 1.12/1.35 (step @p2510 :rule aci_norm :args ((= @t2977 @t2976))) % 1.12/1.35 (step @p2511 :rule cong :premises (@p2510) :args ((forall @t70 @t2977))) % 1.12/1.35 (step @p2512 :rule trans :premises (@p2511 @p2509)) % 1.12/1.35 (step @p2513 :rule trans :premises (@p2512 @p2508)) % 1.12/1.35 (step @p2514 :rule aci_norm :args ((= (or @t2420 @t2978) @t2977))) % 1.12/1.35 (step @p2515 :rule aci_norm :args ((= (or @t317 @t2979) @t2978))) % 1.12/1.35 (step @p2516 :rule bool-impl-elim :args (@t153 @t129)) % 1.12/1.35 (step @p2517 :rule refl :args (@t317)) % 1.12/1.35 (step @p2518 :rule nary_cong :premises (@p2517 @p2516) :args ((or @t317 @t166))) % 1.12/1.35 (step @p2519 :rule trans :premises (@p2518 @p2515)) % 1.12/1.35 (step @p2520 :rule bool-impl-elim :args (@t144 @t166)) % 1.12/1.35 (step @p2521 :rule trans :premises (@p2520 @p2519)) % 1.12/1.35 (step @p2522 :rule nary_cong :premises (@p879 @p2521) :args ((or @t2420 @t345))) % 1.12/1.35 (step @p2523 :rule trans :premises (@p2522 @p2514)) % 1.12/1.35 (step @p2524 :rule bool-impl-elim :args (@t21 @t345)) % 1.12/1.35 (step @p2525 :rule trans :premises (@p2524 @p2523)) % 1.12/1.35 (step @p2526 :rule cong :premises (@p2525) :args (@t717)) % 1.12/1.35 (step @p2527 :rule trans :premises (@p2526 @p2513)) % 1.12/1.35 (step @p2528 :rule cong :premises (@p811 @p2527) :args (@t718)) % 1.12/1.35 (step @p2529 :rule cong :premises (@p2528) :args (@t719)) % 1.12/1.35 (step @p2530 :rule trans :premises (@p2529 @p2497)) % 1.12/1.35 (step @p2531 :rule beta-reduce :args ((= @t2980 @t144))) % 1.12/1.35 (step @p2532 :rule cong :premises (@p2531) :args (@t2981)) % 1.12/1.35 (step @p2533 :rule ho_cong :premises (@p1133 @p2532)) % 1.12/1.35 (step @p2534 :rule ho_cong :premises (@p1135 @p2533)) % 1.12/1.35 (step @p2535 :rule beta-reduce :args ((= (_ @t2982 @t145) (_ tptp.singleton (_ @t155 @t2981))))) % 1.12/1.35 (step @p2536 :rule trans :premises (@p2535 @p2534)) % 1.12/1.35 (step @p2537 :rule refl :args (@t145)) % 1.12/1.35 (step @p2538 :rule beta-reduce :args ((= @t2983 @t2982))) % 1.12/1.35 (step @p2539 :rule ho_cong :premises (@p2538 @p2537)) % 1.12/1.35 (step @p2540 :rule trans :premises (@p2539 @p2536)) % 1.12/1.35 (step @p2541 :rule cong :premises (@p2540 @p2530) :args (@t2985)) % 1.12/1.35 (step @p2542 :rule cong :premises (@p2541) :args (@t2986)) % 1.12/1.35 (step @p2543 :rule trans :premises (@p2542 @p2475)) % 1.12/1.35 (step @p2544 :rule refl :args (tptp.ex1E2)) % 1.12/1.35 (step @p2545 :rule cong :premises (@p2544 @p2543) :args ((= tptp.ex1E2 @t2986))) % 1.12/1.35 (step @p2546 :rule refl :args (@t719)) % 1.12/1.35 (step @p2547 :rule ho_cong :premises (@p231 @p1082)) % 1.12/1.35 (step @p2548 :rule ho_cong :premises (@p2547 @p2537)) % 1.12/1.35 (step @p2549 :rule cong :premises (@p2548 @p2546) :args (@t949)) % 1.12/1.35 (step @p2550 :rule cong :premises (@p2549) :args (@t950)) % 1.12/1.35 (step @p2551 :rule cong :premises (@p2544 @p2550) :args (@t951)) % 1.12/1.35 (step @p2552 :rule trans :premises (@p2551 @p2545)) % 1.12/1.35 (step @p2553 :rule eq_resolve :premises (@p200 @p2552)) % 1.12/1.35 (step @p2554 :rule cong :premises (@p2553 @p2419) :args (@t2987)) % 1.12/1.35 (step @p2555 :rule aci_norm :args ((= @t2989 @t1561))) % 1.12/1.35 (step @p2556 :rule cong :premises (@p2555) :args (@t2990)) % 1.12/1.35 (step @p2557 :rule quant-merge-prenex :args ((= (forall @t945 @t2992) @t2990))) % 1.12/1.35 (step @p2558 :rule alpha_equiv :args (@t2993 (@list @t1552 @t1551) (@list @t143 @t2994))) % 1.12/1.35 (step @p2559 :rule nary_cong :premises (@p1879 @p2558) :args (@t2995)) % 1.12/1.35 (step @p2560 :rule quant-miniscope-or :args ((= @t2992 @t2995))) % 1.12/1.35 (step @p2561 :rule trans :premises (@p2560 @p2559)) % 1.12/1.35 (step @p2562 :rule symm :premises (@p2561)) % 1.12/1.35 (step @p2563 :rule cong :premises (@p2562) :args ((forall @t945 (or @t1486 @t3004)))) % 1.12/1.35 (step @p2564 :rule trans :premises (@p2563 @p2557)) % 1.12/1.35 (step @p2565 :rule trans :premises (@p2564 @p2556)) % 1.12/1.35 (step @p2566 :rule refl :args (@t3004)) % 1.12/1.35 (step @p2567 :rule nary_cong :premises (@p1905 @p2566) :args (@t3005)) % 1.12/1.35 (step @p2568 :rule cong :premises (@p2567) :args ((forall @t945 @t3005))) % 1.12/1.35 (step @p2569 :rule trans :premises (@p2568 @p2565)) % 1.12/1.35 (step @p2570 :rule bool-impl-elim :args (@t2769 @t3004)) % 1.12/1.35 (step @p2571 :rule cong :premises (@p2570) :args ((forall @t945 (=> @t2769 @t3004)))) % 1.12/1.35 (step @p2572 :rule trans :premises (@p2571 @p2569)) % 1.12/1.35 (step @p2573 :rule aci_norm :args ((= @t3007 @t3002))) % 1.12/1.35 (step @p2574 :rule cong :premises (@p2573) :args (@t3008)) % 1.12/1.35 (step @p2575 :rule quant-merge-prenex :args ((= (forall @t150 @t3010) @t3008))) % 1.12/1.35 (step @p2576 :rule alpha_equiv :args (@t3011 (@list @t2994) @t2487)) % 1.12/1.35 (step @p2577 :rule refl :args (@t3001)) % 1.12/1.35 (step @p2578 :rule nary_cong :premises (@p2577 @p2576) :args (@t3012)) % 1.12/1.35 (step @p2579 :rule quant-miniscope-or :args ((= @t3010 @t3012))) % 1.12/1.35 (step @p2580 :rule trans :premises (@p2579 @p2578)) % 1.12/1.35 (step @p2581 :rule symm :premises (@p2580)) % 1.12/1.35 (step @p2582 :rule cong :premises (@p2581) :args ((forall @t150 (or @t3001 @t3014)))) % 1.12/1.35 (step @p2583 :rule trans :premises (@p2582 @p2575)) % 1.12/1.35 (step @p2584 :rule trans :premises (@p2583 @p2574)) % 1.12/1.35 (step @p2585 :rule bool-impl-elim :args (@t3000 @t3014)) % 1.12/1.35 (step @p2586 :rule cong :premises (@p2585) :args ((forall @t150 (=> @t3000 @t3014)))) % 1.12/1.35 (step @p2587 :rule trans :premises (@p2586 @p2584)) % 1.12/1.35 (step @p2588 :rule refl :args (@t3013)) % 1.12/1.35 (step @p2589 :rule refl :args (@t933)) % 1.12/1.35 (step @p2590 :rule cong :premises (@p2589 @p2588) :args ((= @t933 @t3013))) % 1.12/1.35 (step @p2591 :rule symm :premises (@p2590)) % 1.12/1.35 (step @p2592 :rule eq_resolve :premises (@p2589 @p2591)) % 1.12/1.35 (step @p2593 :rule cong :premises (@p2592) :args (@t3015)) % 1.12/1.35 (step @p2594 :rule nary_cong :premises (@p2593 @p2463) :args (@t3016)) % 1.12/1.35 (step @p2595 :rule cong :premises (@p2594) :args ((forall @t9 @t3016))) % 1.12/1.35 (step @p2596 :rule bool-impl-elim :args (@t933 @t144)) % 1.12/1.35 (step @p2597 :rule cong :premises (@p2596) :args (@t934)) % 1.12/1.35 (step @p2598 :rule trans :premises (@p2597 @p2595)) % 1.12/1.35 (step @p2599 :rule aci_norm :args ((= @t3018 @t2999))) % 1.12/1.35 (step @p2600 :rule cong :premises (@p2599) :args (@t3019)) % 1.12/1.35 (step @p2601 :rule quant-merge-prenex :args ((= (forall @t9 @t3021) @t3019))) % 1.12/1.35 (step @p2602 :rule alpha_equiv :args (@t3022 (@list @t1555) @t2413)) % 1.12/1.35 (step @p2603 :rule nary_cong :premises (@p744 @p2602) :args (@t3023)) % 1.12/1.35 (step @p2604 :rule quant-miniscope-or :args ((= @t3021 @t3023))) % 1.12/1.35 (step @p2605 :rule trans :premises (@p2604 @p2603)) % 1.12/1.35 (step @p2606 :rule symm :premises (@p2605)) % 1.12/1.35 (step @p2607 :rule cong :premises (@p2606) :args ((forall @t9 (or @t1384 @t3025)))) % 1.12/1.35 (step @p2608 :rule trans :premises (@p2607 @p2601)) % 1.12/1.35 (step @p2609 :rule trans :premises (@p2608 @p2600)) % 1.12/1.35 (step @p2610 :rule refl :args (@t3025)) % 1.12/1.35 (step @p2611 :rule nary_cong :premises (@p758 @p2610) :args (@t3026)) % 1.12/1.35 (step @p2612 :rule cong :premises (@p2611) :args ((forall @t9 @t3026))) % 1.12/1.35 (step @p2613 :rule trans :premises (@p2612 @p2609)) % 1.12/1.35 (step @p2614 :rule bool-impl-elim :args (@t7 @t3025)) % 1.12/1.35 (step @p2615 :rule cong :premises (@p2614) :args ((forall @t9 (=> @t7 @t3025)))) % 1.12/1.35 (step @p2616 :rule trans :premises (@p2615 @p2613)) % 1.12/1.35 (step @p2617 :rule refl :args ((_ @t143 @t632))) % 1.12/1.35 (step @p2618 :rule cong :premises (@p1964) :args (@t3024)) % 1.12/1.35 (step @p2619 :rule trans :premises (@p2618 @p2617)) % 1.12/1.35 (step @p2620 :rule refl :args (@t143)) % 1.12/1.35 (step @p2621 :rule ho_cong :premises (@p2620 @p1964)) % 1.12/1.35 (step @p2622 :rule cong :premises (@p2621 @p2619) :args ((= (_ @t143 @t1599) @t3024))) % 1.12/1.35 (step @p2623 :rule symm :premises (@p2622)) % 1.12/1.35 (step @p2624 :rule refl :args (@t935)) % 1.12/1.35 (step @p2625 :rule eq_resolve :premises (@p2624 @p2623)) % 1.12/1.35 (step @p2626 :rule ho_cong :premises (@p2620 @p1976)) % 1.12/1.35 (step @p2627 :rule trans :premises (@p2626 @p2625)) % 1.12/1.35 (step @p2628 :rule nary_cong :premises (@p1996 @p2030 @p2627) :args (@t3027)) % 1.12/1.35 (step @p2629 :rule cong :premises (@p2628) :args ((forall @t70 @t3027))) % 1.12/1.35 (step @p2630 :rule aci_norm :args ((= (or @t2793 (or @t2805 @t935)) @t3027))) % 1.12/1.35 (step @p2631 :rule bool-impl-elim :args (@t936 @t935)) % 1.12/1.35 (step @p2632 :rule nary_cong :premises (@p2001 @p2631) :args ((or @t2793 @t937))) % 1.12/1.35 (step @p2633 :rule trans :premises (@p2632 @p2630)) % 1.12/1.35 (step @p2634 :rule bool-impl-elim :args (@t354 @t937)) % 1.12/1.35 (step @p2635 :rule trans :premises (@p2634 @p2633)) % 1.12/1.35 (step @p2636 :rule cong :premises (@p2635) :args (@t938)) % 1.12/1.35 (step @p2637 :rule trans :premises (@p2636 @p2629)) % 1.12/1.35 (step @p2638 :rule cong :premises (@p811 @p2637) :args (@t939)) % 1.12/1.35 (step @p2639 :rule cong :premises (@p2638) :args (@t940)) % 1.12/1.35 (step @p2640 :rule trans :premises (@p2639 @p2616)) % 1.12/1.35 (step @p2641 :rule cong :premises (@p2640 @p2598) :args (@t941)) % 1.12/1.35 (step @p2642 :rule cong :premises (@p2641) :args (@t942)) % 1.12/1.35 (step @p2643 :rule trans :premises (@p2642 @p2587)) % 1.12/1.35 (step @p2644 :rule cong :premises (@p2059 @p2643) :args (@t3028)) % 1.12/1.35 (step @p2645 :rule cong :premises (@p2644) :args (@t3029)) % 1.12/1.35 (step @p2646 :rule trans :premises (@p2645 @p2572)) % 1.12/1.35 (step @p2647 :rule refl :args (tptp.brelnall2)) % 1.12/1.35 (step @p2648 :rule cong :premises (@p2647 @p2646) :args ((= tptp.brelnall2 @t3029))) % 1.12/1.35 (step @p2649 :rule refl :args (@t942)) % 1.12/1.35 (step @p2650 :rule cong :premises (@p2071 @p2649) :args (@t944)) % 1.12/1.35 (step @p2651 :rule cong :premises (@p2650) :args (@t946)) % 1.12/1.35 (step @p2652 :rule cong :premises (@p2647 @p2651) :args (@t948)) % 1.12/1.35 (step @p2653 :rule trans :premises (@p2652 @p2648)) % 1.12/1.35 (step @p2654 :rule eq_resolve :premises (@p199 @p2653)) % 1.12/1.35 (step @p2655 :rule cong :premises (@p2654 @p2554) :args (@t3030)) % 1.12/1.35 (step @p2656 :rule refl :args (tptp.brelnall1)) % 1.12/1.35 (step @p2657 :rule cong :premises (@p2656 @p2646) :args ((= tptp.brelnall1 @t3029))) % 1.12/1.35 (step @p2658 :rule cong :premises (@p2656 @p2651) :args (@t947)) % 1.12/1.35 (step @p2659 :rule trans :premises (@p2658 @p2657)) % 1.12/1.35 (step @p2660 :rule eq_resolve :premises (@p198 @p2659)) % 1.12/1.35 (step @p2661 :rule cong :premises (@p2660 @p2655) :args (@t3031)) % 1.12/1.35 (step @p2662 :rule refl :args (@t1437)) % 1.12/1.35 (step @p2663 :rule lambda-elim :args ((= @t3032 @t912))) % 1.12/1.35 (step @p2664 :rule cong :premises (@p1082 @p1609 @p2663) :args (@t3033)) % 1.12/1.35 (step @p2665 :rule cong :premises (@p2664 @p2662) :args (@t3034)) % 1.12/1.35 (step @p2666 :rule refl :args (@t1447)) % 1.12/1.35 (step @p2667 :rule nary_cong :premises (@p2666 @p2665) :args (@t3035)) % 1.12/1.35 (step @p2668 :rule cong :premises (@p2667) :args ((forall @t918 @t3035))) % 1.12/1.35 (step @p2669 :rule refl :args ((tptp.in @t923 @t902))) % 1.12/1.35 (step @p2670 :rule refl :args ((tptp.lam @t2 @t1 @t921))) % 1.12/1.35 (step @p2671 :rule cong :premises (@p1646) :args (@t3032)) % 1.12/1.35 (step @p2672 :rule cong :premises (@p1055 @p1542 @p2671) :args (@t3033)) % 1.12/1.35 (step @p2673 :rule trans :premises (@p2672 @p2670)) % 1.12/1.35 (step @p2674 :rule cong :premises (@p2673 @p1561) :args (@t3034)) % 1.12/1.35 (step @p2675 :rule trans :premises (@p2674 @p2669)) % 1.12/1.35 (step @p2676 :rule ho_cong :premises (@p774 @p2673)) % 1.12/1.35 (step @p2677 :rule ho_cong :premises (@p2676 @p1561)) % 1.12/1.35 (step @p2678 :rule cong :premises (@p2677 @p2675) :args ((= (_ (_ tptp.in @t3033) @t1437) @t3034))) % 1.12/1.35 (step @p2679 :rule symm :premises (@p2678)) % 1.12/1.35 (step @p2680 :rule refl :args (@t928)) % 1.12/1.35 (step @p2681 :rule eq_resolve :premises (@p2680 @p2679)) % 1.12/1.35 (step @p2682 :rule ho_cong :premises (@p1545 @p2671)) % 1.12/1.35 (step @p2683 :rule cong :premises (@p2682 @p2673) :args ((= (_ @t922 @t3032) @t3033))) % 1.12/1.35 (step @p2684 :rule symm :premises (@p2683)) % 1.12/1.35 (step @p2685 :rule refl :args (@t923)) % 1.12/1.35 (step @p2686 :rule eq_resolve :premises (@p2685 @p2684)) % 1.12/1.35 (step @p2687 :rule cong :premises (@p1650) :args (@t921)) % 1.12/1.35 (step @p2688 :rule ho_cong :premises (@p1545 @p2687)) % 1.12/1.35 (step @p2689 :rule trans :premises (@p2688 @p2686)) % 1.12/1.35 (step @p2690 :rule ho_cong :premises (@p774 @p2689)) % 1.12/1.35 (step @p2691 :rule ho_cong :premises (@p2690 @p1573)) % 1.12/1.35 (step @p2692 :rule trans :premises (@p2691 @p2681)) % 1.12/1.35 (step @p2693 :rule nary_cong :premises (@p1597 @p2692) :args (@t3036)) % 1.12/1.35 (step @p2694 :rule cong :premises (@p2693) :args ((forall @t918 @t3036))) % 1.12/1.35 (step @p2695 :rule trans :premises (@p2694 @p2668)) % 1.12/1.35 (step @p2696 :rule bool-impl-elim :args (@t1446 @t928)) % 1.12/1.35 (step @p2697 :rule cong :premises (@p2696) :args ((forall @t918 (=> @t1446 @t928)))) % 1.12/1.35 (step @p2698 :rule trans :premises (@p2697 @p2695)) % 1.12/1.35 (step @p2699 :rule refl :args (@t928)) % 1.12/1.35 (step @p2700 :rule cong :premises (@p1678 @p2699) :args (@t929)) % 1.12/1.35 (step @p2701 :rule cong :premises (@p2700) :args (@t930)) % 1.12/1.35 (step @p2702 :rule trans :premises (@p2701 @p2698)) % 1.12/1.35 (step @p2703 :rule refl :args (tptp.lam2p)) % 1.12/1.35 (step @p2704 :rule cong :premises (@p2703 @p2702) :args (@t931)) % 1.12/1.35 (step @p2705 :rule eq_resolve :premises (@p197 @p2704)) % 1.12/1.35 (step @p2706 :rule cong :premises (@p2705 @p2661) :args (@t3037)) % 1.12/1.35 (step @p2707 :rule cong :premises (@p1082 @p1609 @p2664) :args (@t3038)) % 1.12/1.35 (step @p2708 :rule nary_cong :premises (@p2666 @p2707) :args (@t3039)) % 1.12/1.35 (step @p2709 :rule cong :premises (@p2708) :args ((forall @t918 @t3039))) % 1.12/1.35 (step @p2710 :rule refl :args ((tptp.func @t2 @t1 @t923))) % 1.12/1.35 (step @p2711 :rule cong :premises (@p1055 @p1542 @p2673) :args (@t3038)) % 1.12/1.35 (step @p2712 :rule trans :premises (@p2711 @p2710)) % 1.12/1.35 (step @p2713 :rule refl :args (@t883)) % 1.12/1.35 (step @p2714 :rule ho_cong :premises (@p2713 @p2673)) % 1.12/1.35 (step @p2715 :rule cong :premises (@p2714 @p2712) :args ((= (_ @t883 @t3033) @t3038))) % 1.12/1.35 (step @p2716 :rule symm :premises (@p2715)) % 1.12/1.35 (step @p2717 :rule refl :args (@t924)) % 1.12/1.35 (step @p2718 :rule eq_resolve :premises (@p2717 @p2716)) % 1.12/1.35 (step @p2719 :rule ho_cong :premises (@p2713 @p2689)) % 1.12/1.35 (step @p2720 :rule trans :premises (@p2719 @p2718)) % 1.12/1.35 (step @p2721 :rule nary_cong :premises (@p1597 @p2720) :args (@t3040)) % 1.12/1.35 (step @p2722 :rule cong :premises (@p2721) :args ((forall @t918 @t3040))) % 1.12/1.35 (step @p2723 :rule trans :premises (@p2722 @p2709)) % 1.12/1.35 (step @p2724 :rule bool-impl-elim :args (@t1446 @t924)) % 1.12/1.35 (step @p2725 :rule cong :premises (@p2724) :args ((forall @t918 (=> @t1446 @t924)))) % 1.12/1.35 (step @p2726 :rule trans :premises (@p2725 @p2723)) % 1.12/1.35 (step @p2727 :rule refl :args (@t924)) % 1.12/1.35 (step @p2728 :rule cong :premises (@p1678 @p2727) :args (@t925)) % 1.12/1.35 (step @p2729 :rule cong :premises (@p2728) :args (@t926)) % 1.12/1.35 (step @p2730 :rule trans :premises (@p2729 @p2726)) % 1.12/1.35 (step @p2731 :rule refl :args (tptp.lamp)) % 1.12/1.35 (step @p2732 :rule cong :premises (@p2731 @p2730) :args (@t927)) % 1.12/1.35 (step @p2733 :rule eq_resolve :premises (@p196 @p2732)) % 1.12/1.35 (step @p2734 :rule cong :premises (@p2733 @p2706) :args (@t3041)) % 1.12/1.35 (step @p2735 :rule refl :args ((tptp.func @t2 @t1 @t3044))) % 1.12/1.35 (step @p2736 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t3043))) % 1.12/1.35 (step @p2737 :rule cong :premises (@p863 @p1646) :args (@t1566)) % 1.12/1.35 (step @p2738 :rule cong :premises (@p2737) :args (@t1567)) % 1.12/1.35 (step @p2739 :rule cong :premises (@p1055 @p1542 @p2738) :args (@t1568)) % 1.12/1.35 (step @p2740 :rule trans :premises (@p2739 @p2736)) % 1.12/1.35 (step @p2741 :rule cong :premises (@p1055 @p1542 @p2740) :args (@t1569)) % 1.12/1.35 (step @p2742 :rule trans :premises (@p2741 @p2735)) % 1.12/1.35 (step @p2743 :rule ho_cong :premises (@p2713 @p2740)) % 1.12/1.35 (step @p2744 :rule cong :premises (@p2743 @p2742) :args ((= (_ @t883 @t1568) @t1569))) % 1.12/1.35 (step @p2745 :rule symm :premises (@p2744)) % 1.12/1.35 (step @p2746 :rule refl :args (@t3045)) % 1.12/1.35 (step @p2747 :rule eq_resolve :premises (@p2746 @p2745)) % 1.12/1.35 (step @p2748 :rule refl :args (@t847)) % 1.12/1.35 (step @p2749 :rule ho_cong :premises (@p2748 @p2738)) % 1.12/1.35 (step @p2750 :rule cong :premises (@p2749 @p2740) :args ((= (_ @t847 @t1567) @t1568))) % 1.12/1.35 (step @p2751 :rule symm :premises (@p2750)) % 1.12/1.35 (step @p2752 :rule refl :args (@t3044)) % 1.12/1.35 (step @p2753 :rule eq_resolve :premises (@p2752 @p2751)) % 1.12/1.35 (step @p2754 :rule cong :premises (@p863 @p1650) :args (@t3042)) % 1.12/1.35 (step @p2755 :rule cong :premises (@p2754) :args (@t3043)) % 1.12/1.35 (step @p2756 :rule ho_cong :premises (@p2748 @p2755)) % 1.12/1.35 (step @p2757 :rule trans :premises (@p2756 @p2753)) % 1.12/1.35 (step @p2758 :rule ho_cong :premises (@p2713 @p2757)) % 1.12/1.35 (step @p2759 :rule trans :premises (@p2758 @p2747)) % 1.12/1.35 (step @p2760 :rule nary_cong :premises (@p1597 @p2759) :args (@t3046)) % 1.12/1.35 (step @p2761 :rule cong :premises (@p2760) :args ((forall @t918 @t3046))) % 1.12/1.35 (step @p2762 :rule bool-impl-elim :args (@t1446 @t3045)) % 1.12/1.35 (step @p2763 :rule cong :premises (@p2762) :args ((forall @t918 (=> @t1446 @t3045)))) % 1.12/1.35 (step @p2764 :rule trans :premises (@p2763 @p2761)) % 1.12/1.35 (step @p2765 :rule eq-symm :args (@t913 @t19)) % 1.12/1.35 (step @p2766 :rule cong :premises (@p2765) :args (@t914)) % 1.12/1.35 (step @p2767 :rule refl :args (@t847)) % 1.12/1.35 (step @p2768 :rule ho_cong :premises (@p2767 @p2766)) % 1.12/1.35 (step @p2769 :rule refl :args (@t883)) % 1.12/1.35 (step @p2770 :rule ho_cong :premises (@p2769 @p2768)) % 1.12/1.35 (step @p2771 :rule cong :premises (@p1678 @p2770) :args (@t917)) % 1.12/1.35 (step @p2772 :rule cong :premises (@p2771) :args (@t919)) % 1.12/1.35 (step @p2773 :rule trans :premises (@p2772 @p2764)) % 1.12/1.35 (step @p2774 :rule refl :args (tptp.lamProp)) % 1.12/1.35 (step @p2775 :rule cong :premises (@p2774 @p2773) :args (@t920)) % 1.12/1.35 (step @p2776 :rule eq_resolve :premises (@p195 @p2775)) % 1.12/1.35 (step @p2777 :rule cong :premises (@p2776 @p2734) :args (@t3047)) % 1.12/1.35 (step @p2778 :rule nary_cong :premises (@p1708 @p1575) :args (@t3048)) % 1.12/1.35 (step @p2779 :rule cong :premises (@p2778) :args ((forall @t886 @t3048))) % 1.12/1.35 (step @p2780 :rule bool-impl-elim :args (@t884 @t904)) % 1.12/1.35 (step @p2781 :rule cong :premises (@p2780) :args (@t910)) % 1.12/1.35 (step @p2782 :rule trans :premises (@p2781 @p2779)) % 1.12/1.35 (step @p2783 :rule refl :args (tptp.funcinfuncset)) % 1.12/1.35 (step @p2784 :rule cong :premises (@p2783 @p2782) :args (@t911)) % 1.12/1.35 (step @p2785 :rule eq_resolve :premises (@p194 @p2784)) % 1.12/1.35 (step @p2786 :rule cong :premises (@p2785 @p2777) :args (@t3049)) % 1.12/1.35 (step @p2787 :rule aci_norm :args ((= @t3051 @t1575))) % 1.12/1.35 (step @p2788 :rule cong :premises (@p2787) :args (@t3052)) % 1.12/1.35 (step @p2789 :rule quant-merge-prenex :args ((= (forall @t886 @t3054) @t3052))) % 1.12/1.35 (step @p2790 :rule alpha_equiv :args (@t3055 (@list @t1572) @t2487)) % 1.12/1.35 (step @p2791 :rule nary_cong :premises (@p1764 @p2790) :args (@t3056)) % 1.12/1.35 (step @p2792 :rule quant-miniscope-or :args ((= @t3054 @t3056))) % 1.12/1.35 (step @p2793 :rule trans :premises (@p2792 @p2791)) % 1.12/1.35 (step @p2794 :rule symm :premises (@p2793)) % 1.12/1.35 (step @p2795 :rule cong :premises (@p2794) :args ((forall @t886 (or @t1439 @t3058)))) % 1.12/1.35 (step @p2796 :rule trans :premises (@p2795 @p2789)) % 1.12/1.35 (step @p2797 :rule trans :premises (@p2796 @p2788)) % 1.12/1.35 (step @p2798 :rule refl :args (@t3058)) % 1.12/1.35 (step @p2799 :rule nary_cong :premises (@p1576 @p2798) :args (@t3059)) % 1.12/1.35 (step @p2800 :rule cong :premises (@p2799) :args ((forall @t886 @t3059))) % 1.12/1.35 (step @p2801 :rule trans :premises (@p2800 @p2797)) % 1.12/1.35 (step @p2802 :rule bool-impl-elim :args (@t904 @t3058)) % 1.12/1.35 (step @p2803 :rule cong :premises (@p2802) :args ((forall @t886 (=> @t904 @t3058)))) % 1.12/1.35 (step @p2804 :rule trans :premises (@p2803 @p2801)) % 1.12/1.35 (step @p2805 :rule refl :args ((tptp.in @t896 @t1))) % 1.12/1.35 (step @p2806 :rule cong :premises (@p1540 @p1542) :args (@t3057)) % 1.12/1.35 (step @p2807 :rule trans :premises (@p2806 @p2805)) % 1.12/1.35 (step @p2808 :rule ho_cong :premises (@p774 @p1540)) % 1.12/1.35 (step @p2809 :rule ho_cong :premises (@p2808 @p1542)) % 1.12/1.35 (step @p2810 :rule cong :premises (@p2809 @p2807) :args ((= (_ (_ tptp.in @t1433) @t1) @t3057))) % 1.12/1.35 (step @p2811 :rule symm :premises (@p2810)) % 1.12/1.35 (step @p2812 :rule refl :args (@t897)) % 1.12/1.35 (step @p2813 :rule eq_resolve :premises (@p2812 @p2811)) % 1.12/1.35 (step @p2814 :rule ho_cong :premises (@p774 @p1554)) % 1.12/1.35 (step @p2815 :rule ho_cong :premises (@p2814 @p1542)) % 1.12/1.35 (step @p2816 :rule trans :premises (@p2815 @p2813)) % 1.12/1.35 (step @p2817 :rule nary_cong :premises (@p758 @p2816) :args (@t3060)) % 1.12/1.35 (step @p2818 :rule cong :premises (@p2817) :args ((forall @t9 @t3060))) % 1.12/1.35 (step @p2819 :rule bool-impl-elim :args (@t7 @t897)) % 1.12/1.35 (step @p2820 :rule cong :premises (@p2819) :args (@t898)) % 1.12/1.35 (step @p2821 :rule trans :premises (@p2820 @p2818)) % 1.12/1.35 (step @p2822 :rule cong :premises (@p1583 @p2821) :args (@t907)) % 1.12/1.35 (step @p2823 :rule cong :premises (@p2822) :args (@t908)) % 1.12/1.35 (step @p2824 :rule trans :premises (@p2823 @p2804)) % 1.12/1.35 (step @p2825 :rule refl :args (tptp.ap2p)) % 1.12/1.35 (step @p2826 :rule cong :premises (@p2825 @p2824) :args (@t909)) % 1.12/1.35 (step @p2827 :rule eq_resolve :premises (@p193 @p2826)) % 1.12/1.35 (step @p2828 :rule cong :premises (@p2827 @p2786) :args (@t3061)) % 1.12/1.35 (step @p2829 :rule nary_cong :premises (@p1576 @p1707) :args (@t3062)) % 1.12/1.35 (step @p2830 :rule cong :premises (@p2829) :args ((forall @t886 @t3062))) % 1.12/1.35 (step @p2831 :rule bool-impl-elim :args (@t904 @t884)) % 1.12/1.35 (step @p2832 :rule cong :premises (@p2831) :args (@t905)) % 1.12/1.35 (step @p2833 :rule trans :premises (@p2832 @p2830)) % 1.12/1.35 (step @p2834 :rule refl :args (tptp.infuncsetfunc)) % 1.12/1.35 (step @p2835 :rule cong :premises (@p2834 @p2833) :args (@t906)) % 1.12/1.35 (step @p2836 :rule eq_resolve :premises (@p192 @p2835)) % 1.12/1.35 (step @p2837 :rule cong :premises (@p2836 @p2828) :args (@t3063)) % 1.12/1.35 (step @p2838 :rule aci_norm :args ((= @t3065 @t1582))) % 1.12/1.35 (step @p2839 :rule cong :premises (@p2838) :args (@t3066)) % 1.12/1.35 (step @p2840 :rule quant-merge-prenex :args ((= (forall @t886 @t3068) @t3066))) % 1.12/1.35 (step @p2841 :rule alpha_equiv :args (@t3069 (@list @t1579) @t2487)) % 1.12/1.35 (step @p2842 :rule nary_cong :premises (@p1833 @p2841) :args (@t3070)) % 1.12/1.35 (step @p2843 :rule quant-miniscope-or :args ((= @t3068 @t3070))) % 1.12/1.35 (step @p2844 :rule trans :premises (@p2843 @p2842)) % 1.12/1.35 (step @p2845 :rule symm :premises (@p2844)) % 1.12/1.35 (step @p2846 :rule cong :premises (@p2845) :args ((forall @t886 (or @t1453 @t3058)))) % 1.12/1.35 (step @p2847 :rule trans :premises (@p2846 @p2840)) % 1.12/1.35 (step @p2848 :rule trans :premises (@p2847 @p2839)) % 1.12/1.35 (step @p2849 :rule nary_cong :premises (@p1708 @p2798) :args (@t3071)) % 1.12/1.35 (step @p2850 :rule cong :premises (@p2849) :args ((forall @t886 @t3071))) % 1.12/1.35 (step @p2851 :rule trans :premises (@p2850 @p2848)) % 1.12/1.35 (step @p2852 :rule bool-impl-elim :args (@t884 @t3058)) % 1.12/1.35 (step @p2853 :rule cong :premises (@p2852) :args ((forall @t886 (=> @t884 @t3058)))) % 1.12/1.35 (step @p2854 :rule trans :premises (@p2853 @p2851)) % 1.12/1.35 (step @p2855 :rule cong :premises (@p1714 @p2821) :args (@t899)) % 1.12/1.35 (step @p2856 :rule cong :premises (@p2855) :args (@t900)) % 1.12/1.35 (step @p2857 :rule trans :premises (@p2856 @p2854)) % 1.12/1.35 (step @p2858 :rule refl :args (tptp.app)) % 1.12/1.35 (step @p2859 :rule cong :premises (@p2858 @p2857) :args (@t901)) % 1.12/1.35 (step @p2860 :rule eq_resolve :premises (@p191 @p2859)) % 1.12/1.35 (step @p2861 :rule cong :premises (@p2860 @p2837) :args (@t3072)) % 1.12/1.35 (step @p2862 :rule aci_norm :args ((= @t3074 @t1588))) % 1.12/1.35 (step @p2863 :rule cong :premises (@p2862) :args (@t3075)) % 1.12/1.35 (step @p2864 :rule quant-merge-prenex :args ((= (forall @t886 @t3077) @t3075))) % 1.12/1.35 (step @p2865 :rule alpha_equiv :args (@t3078 (@list @t1585) @t2487)) % 1.12/1.35 (step @p2866 :rule nary_cong :premises (@p1833 @p2865) :args (@t3079)) % 1.12/1.35 (step @p2867 :rule quant-miniscope-or :args ((= @t3077 @t3079))) % 1.12/1.35 (step @p2868 :rule trans :premises (@p2867 @p2866)) % 1.12/1.35 (step @p2869 :rule symm :premises (@p2868)) % 1.12/1.35 (step @p2870 :rule cong :premises (@p2869) :args ((forall @t886 (or @t1453 @t3084)))) % 1.12/1.35 (step @p2871 :rule trans :premises (@p2870 @p2864)) % 1.12/1.35 (step @p2872 :rule trans :premises (@p2871 @p2863)) % 1.12/1.35 (step @p2873 :rule refl :args (@t3084)) % 1.12/1.35 (step @p2874 :rule nary_cong :premises (@p1708 @p2873) :args (@t3085)) % 1.12/1.35 (step @p2875 :rule cong :premises (@p2874) :args ((forall @t886 @t3085))) % 1.12/1.35 (step @p2876 :rule trans :premises (@p2875 @p2872)) % 1.12/1.35 (step @p2877 :rule bool-impl-elim :args (@t884 @t3084)) % 1.12/1.35 (step @p2878 :rule cong :premises (@p2877) :args ((forall @t886 (=> @t884 @t3084)))) % 1.12/1.35 (step @p2879 :rule trans :premises (@p2878 @p2876)) % 1.12/1.35 (step @p2880 :rule refl :args ((tptp.in @t889 @t1))) % 1.12/1.35 (step @p2881 :rule refl :args ((tptp.setunion @t880))) % 1.12/1.35 (step @p2882 :rule refl :args ((tptp.dsetconstr @t1 @t879))) % 1.12/1.35 (step @p2883 :rule cong :premises (@p2181) :args (@t3080)) % 1.12/1.35 (step @p2884 :rule cong :premises (@p1542 @p2883) :args (@t3081)) % 1.12/1.35 (step @p2885 :rule trans :premises (@p2884 @p2882)) % 1.12/1.35 (step @p2886 :rule cong :premises (@p2885) :args (@t3082)) % 1.12/1.35 (step @p2887 :rule trans :premises (@p2886 @p2881)) % 1.12/1.35 (step @p2888 :rule cong :premises (@p2887 @p1542) :args (@t3083)) % 1.12/1.35 (step @p2889 :rule trans :premises (@p2888 @p2880)) % 1.12/1.35 (step @p2890 :rule ho_cong :premises (@p774 @p2887)) % 1.12/1.35 (step @p2891 :rule ho_cong :premises (@p2890 @p1542)) % 1.12/1.35 (step @p2892 :rule cong :premises (@p2891 @p2889) :args ((= (_ (_ tptp.in @t3082) @t1) @t3083))) % 1.12/1.35 (step @p2893 :rule symm :premises (@p2892)) % 1.12/1.35 (step @p2894 :rule refl :args (@t890)) % 1.12/1.35 (step @p2895 :rule eq_resolve :premises (@p2894 @p2893)) % 1.12/1.35 (step @p2896 :rule refl :args (tptp.setunion)) % 1.12/1.35 (step @p2897 :rule ho_cong :premises (@p2896 @p2885)) % 1.12/1.35 (step @p2898 :rule cong :premises (@p2897 @p2887) :args ((= (_ tptp.setunion @t3081) @t3082))) % 1.12/1.35 (step @p2899 :rule symm :premises (@p2898)) % 1.12/1.35 (step @p2900 :rule refl :args (@t889)) % 1.12/1.35 (step @p2901 :rule eq_resolve :premises (@p2900 @p2899)) % 1.12/1.35 (step @p2902 :rule refl :args (@t410)) % 1.12/1.35 (step @p2903 :rule ho_cong :premises (@p2902 @p2883)) % 1.12/1.35 (step @p2904 :rule cong :premises (@p2903 @p2885) :args ((= (_ @t410 @t3080) @t3081))) % 1.12/1.35 (step @p2905 :rule symm :premises (@p2904)) % 1.12/1.35 (step @p2906 :rule refl :args (@t880)) % 1.12/1.35 (step @p2907 :rule eq_resolve :premises (@p2906 @p2905)) % 1.12/1.35 (step @p2908 :rule cong :premises (@p2188) :args (@t879)) % 1.12/1.35 (step @p2909 :rule ho_cong :premises (@p2902 @p2908)) % 1.12/1.35 (step @p2910 :rule trans :premises (@p2909 @p2907)) % 1.12/1.35 (step @p2911 :rule ho_cong :premises (@p2896 @p2910)) % 1.12/1.35 (step @p2912 :rule trans :premises (@p2911 @p2901)) % 1.12/1.35 (step @p2913 :rule ho_cong :premises (@p774 @p2912)) % 1.12/1.35 (step @p2914 :rule ho_cong :premises (@p2913 @p1542)) % 1.12/1.35 (step @p2915 :rule trans :premises (@p2914 @p2895)) % 1.12/1.35 (step @p2916 :rule nary_cong :premises (@p758 @p2915) :args (@t3086)) % 1.12/1.35 (step @p2917 :rule cong :premises (@p2916) :args ((forall @t9 @t3086))) % 1.12/1.35 (step @p2918 :rule bool-impl-elim :args (@t7 @t890)) % 1.12/1.35 (step @p2919 :rule cong :premises (@p2918) :args (@t891)) % 1.12/1.35 (step @p2920 :rule trans :premises (@p2919 @p2917)) % 1.12/1.35 (step @p2921 :rule cong :premises (@p1714 @p2920) :args (@t892)) % 1.12/1.35 (step @p2922 :rule cong :premises (@p2921) :args (@t893)) % 1.12/1.35 (step @p2923 :rule trans :premises (@p2922 @p2879)) % 1.12/1.35 (step @p2924 :rule refl :args (tptp.apProp)) % 1.12/1.35 (step @p2925 :rule cong :premises (@p2924 @p2923) :args (@t894)) % 1.12/1.35 (step @p2926 :rule eq_resolve :premises (@p190 @p2925)) % 1.12/1.35 (step @p2927 :rule cong :premises (@p2926 @p2861) :args (@t3087)) % 1.12/1.35 (step @p2928 :rule aci_norm :args ((= @t3089 @t1594))) % 1.12/1.35 (step @p2929 :rule cong :premises (@p2928) :args (@t3090)) % 1.12/1.35 (step @p2930 :rule quant-merge-prenex :args ((= (forall @t886 @t3092) @t3090))) % 1.12/1.35 (step @p2931 :rule alpha_equiv :args (@t3093 (@list @t1591) @t2487)) % 1.12/1.35 (step @p2932 :rule nary_cong :premises (@p1833 @p2931) :args (@t3094)) % 1.12/1.35 (step @p2933 :rule quant-miniscope-or :args ((= @t3092 @t3094))) % 1.12/1.35 (step @p2934 :rule trans :premises (@p2933 @p2932)) % 1.12/1.35 (step @p2935 :rule symm :premises (@p2934)) % 1.12/1.35 (step @p2936 :rule cong :premises (@p2935) :args ((forall @t886 (or @t1453 @t3096)))) % 1.12/1.35 (step @p2937 :rule trans :premises (@p2936 @p2930)) % 1.12/1.35 (step @p2938 :rule trans :premises (@p2937 @p2929)) % 1.12/1.35 (step @p2939 :rule refl :args (@t3096)) % 1.12/1.35 (step @p2940 :rule nary_cong :premises (@p1708 @p2939) :args (@t3097)) % 1.12/1.35 (step @p2941 :rule cong :premises (@p2940) :args ((forall @t886 @t3097))) % 1.12/1.35 (step @p2942 :rule trans :premises (@p2941 @p2938)) % 1.12/1.35 (step @p2943 :rule bool-impl-elim :args (@t884 @t3096)) % 1.12/1.35 (step @p2944 :rule cong :premises (@p2943) :args ((forall @t886 (=> @t884 @t3096)))) % 1.12/1.35 (step @p2945 :rule trans :premises (@p2944 @p2942)) % 1.12/1.35 (step @p2946 :rule refl :args ((tptp.singleton @t880))) % 1.12/1.35 (step @p2947 :rule cong :premises (@p2885) :args (@t3095)) % 1.12/1.35 (step @p2948 :rule trans :premises (@p2947 @p2946)) % 1.12/1.35 (step @p2949 :rule ho_cong :premises (@p1110 @p2885)) % 1.12/1.35 (step @p2950 :rule cong :premises (@p2949 @p2948) :args ((= (_ tptp.singleton @t3081) @t3095))) % 1.12/1.35 (step @p2951 :rule symm :premises (@p2950)) % 1.12/1.35 (step @p2952 :rule refl :args (@t881)) % 1.12/1.35 (step @p2953 :rule eq_resolve :premises (@p2952 @p2951)) % 1.12/1.35 (step @p2954 :rule ho_cong :premises (@p1110 @p2910)) % 1.12/1.35 (step @p2955 :rule trans :premises (@p2954 @p2953)) % 1.12/1.35 (step @p2956 :rule nary_cong :premises (@p758 @p2955) :args (@t3098)) % 1.12/1.35 (step @p2957 :rule cong :premises (@p2956) :args ((forall @t9 @t3098))) % 1.12/1.35 (step @p2958 :rule bool-impl-elim :args (@t7 @t881)) % 1.12/1.35 (step @p2959 :rule cong :premises (@p2958) :args (@t882)) % 1.12/1.35 (step @p2960 :rule trans :premises (@p2959 @p2957)) % 1.12/1.35 (step @p2961 :rule cong :premises (@p1714 @p2960) :args (@t885)) % 1.12/1.35 (step @p2962 :rule cong :premises (@p2961) :args (@t887)) % 1.12/1.35 (step @p2963 :rule trans :premises (@p2962 @p2945)) % 1.12/1.35 (step @p2964 :rule refl :args (tptp.funcImageSingleton)) % 1.12/1.35 (step @p2965 :rule cong :premises (@p2964 @p2963) :args (@t888)) % 1.12/1.35 (step @p2966 :rule eq_resolve :premises (@p189 @p2965)) % 1.12/1.35 (step @p2967 :rule cong :premises (@p2966 @p2927) :args (@t3099)) % 1.12/1.35 (step @p2968 :rule refl :args (@t1597)) % 1.12/1.35 (step @p2969 :rule lambda-elim :args ((= @t3101 @t67))) % 1.12/1.35 (step @p2970 :rule cong :premises (@p1082 @p1609 @p2969) :args (@t3102)) % 1.12/1.35 (step @p2971 :rule refl :args (@t1599)) % 1.12/1.35 (step @p2972 :rule cong :premises (@p2971 @p2970) :args (@t3103)) % 1.12/1.35 (step @p2973 :rule cong :premises (@p2972) :args (@t3104)) % 1.12/1.35 (step @p2974 :rule nary_cong :premises (@p2973 @p2968) :args (@t3105)) % 1.12/1.35 (step @p2975 :rule cong :premises (@p2974) :args ((forall @t870 @t3105))) % 1.12/1.35 (step @p2976 :rule refl :args (@t1597)) % 1.12/1.35 (step @p2977 :rule refl :args (@t76)) % 1.12/1.35 (step @p2978 :rule cong :premises (@p2977 @p2976) :args ((= @t76 @t1597))) % 1.12/1.35 (step @p2979 :rule symm :premises (@p2978)) % 1.12/1.35 (step @p2980 :rule eq_resolve :premises (@p2977 @p2979)) % 1.12/1.35 (step @p2981 :rule refl :args ((tptp.in @t632 @t848))) % 1.12/1.35 (step @p2982 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t846))) % 1.12/1.35 (step @p2983 :rule refl :args (@t3100)) % 1.12/1.35 (step @p2984 :rule cong :premises (@p2983) :args (@t3101)) % 1.12/1.35 (step @p2985 :rule cong :premises (@p1055 @p1542 @p2984) :args (@t3102)) % 1.12/1.35 (step @p2986 :rule trans :premises (@p2985 @p2982)) % 1.12/1.35 (step @p2987 :rule cong :premises (@p1964 @p2986) :args (@t3103)) % 1.12/1.35 (step @p2988 :rule trans :premises (@p2987 @p2981)) % 1.12/1.35 (step @p2989 :rule ho_cong :premises (@p1967 @p2986)) % 1.12/1.35 (step @p2990 :rule cong :premises (@p2989 @p2988) :args ((= (_ @t2791 @t3102) @t3103))) % 1.12/1.35 (step @p2991 :rule symm :premises (@p2990)) % 1.12/1.35 (step @p2992 :rule refl :args (@t849)) % 1.12/1.35 (step @p2993 :rule eq_resolve :premises (@p2992 @p2991)) % 1.12/1.35 (step @p2994 :rule ho_cong :premises (@p2748 @p2984)) % 1.12/1.35 (step @p2995 :rule cong :premises (@p2994 @p2986) :args ((= (_ @t847 @t3101) @t3102))) % 1.12/1.35 (step @p2996 :rule symm :premises (@p2995)) % 1.12/1.35 (step @p2997 :rule refl :args (@t848)) % 1.12/1.35 (step @p2998 :rule eq_resolve :premises (@p2997 @p2996)) % 1.12/1.35 (step @p2999 :rule refl :args (@t845)) % 1.12/1.35 (step @p3000 :rule cong :premises (@p2999 @p2983) :args ((= @t845 @t3100))) % 1.12/1.35 (step @p3001 :rule symm :premises (@p3000)) % 1.12/1.35 (step @p3002 :rule eq_resolve :premises (@p2999 @p3001)) % 1.12/1.35 (step @p3003 :rule cong :premises (@p3002) :args (@t846)) % 1.12/1.35 (step @p3004 :rule ho_cong :premises (@p2748 @p3003)) % 1.12/1.35 (step @p3005 :rule trans :premises (@p3004 @p2998)) % 1.12/1.35 (step @p3006 :rule ho_cong :premises (@p1977 @p3005)) % 1.12/1.35 (step @p3007 :rule trans :premises (@p3006 @p2993)) % 1.12/1.35 (step @p3008 :rule cong :premises (@p3007) :args (@t3106)) % 1.12/1.35 (step @p3009 :rule nary_cong :premises (@p3008 @p2980) :args (@t3107)) % 1.12/1.35 (step @p3010 :rule cong :premises (@p3009) :args ((forall @t870 @t3107))) % 1.12/1.35 (step @p3011 :rule trans :premises (@p3010 @p2975)) % 1.12/1.35 (step @p3012 :rule bool-impl-elim :args (@t849 @t76)) % 1.12/1.35 (step @p3013 :rule cong :premises (@p3012) :args (@t875)) % 1.12/1.35 (step @p3014 :rule trans :premises (@p3013 @p3011)) % 1.12/1.35 (step @p3015 :rule refl :args (tptp.dpsetconstrER)) % 1.12/1.35 (step @p3016 :rule cong :premises (@p3015 @p3014) :args (@t876)) % 1.12/1.35 (step @p3017 :rule eq_resolve :premises (@p188 @p3016)) % 1.12/1.35 (step @p3018 :rule cong :premises (@p3017 @p2967) :args (@t3108)) % 1.12/1.35 (step @p3019 :rule refl :args (@t1603)) % 1.12/1.35 (step @p3020 :rule nary_cong :premises (@p2973 @p3019) :args (@t3109)) % 1.12/1.35 (step @p3021 :rule cong :premises (@p3020) :args ((forall @t870 @t3109))) % 1.12/1.35 (step @p3022 :rule nary_cong :premises (@p3008 @p1995) :args (@t3110)) % 1.12/1.35 (step @p3023 :rule cong :premises (@p3022) :args ((forall @t870 @t3110))) % 1.12/1.35 (step @p3024 :rule trans :premises (@p3023 @p3021)) % 1.12/1.35 (step @p3025 :rule bool-impl-elim :args (@t849 @t354)) % 1.12/1.35 (step @p3026 :rule cong :premises (@p3025) :args (@t873)) % 1.12/1.35 (step @p3027 :rule trans :premises (@p3026 @p3024)) % 1.12/1.35 (step @p3028 :rule refl :args (tptp.dpsetconstrEL2)) % 1.12/1.35 (step @p3029 :rule cong :premises (@p3028 @p3027) :args (@t874)) % 1.12/1.35 (step @p3030 :rule eq_resolve :premises (@p187 @p3029)) % 1.12/1.35 (step @p3031 :rule cong :premises (@p3030 @p3018) :args (@t3111)) % 1.12/1.35 (step @p3032 :rule refl :args (@t1383)) % 1.12/1.35 (step @p3033 :rule nary_cong :premises (@p2973 @p3032) :args (@t3112)) % 1.12/1.35 (step @p3034 :rule cong :premises (@p3033) :args ((forall @t870 @t3112))) % 1.12/1.35 (step @p3035 :rule nary_cong :premises (@p3008 @p757) :args (@t3113)) % 1.12/1.35 (step @p3036 :rule cong :premises (@p3035) :args ((forall @t870 @t3113))) % 1.12/1.35 (step @p3037 :rule trans :premises (@p3036 @p3034)) % 1.12/1.35 (step @p3038 :rule bool-impl-elim :args (@t849 @t7)) % 1.12/1.35 (step @p3039 :rule cong :premises (@p3038) :args (@t871)) % 1.12/1.35 (step @p3040 :rule trans :premises (@p3039 @p3037)) % 1.12/1.35 (step @p3041 :rule refl :args (tptp.dpsetconstrEL1)) % 1.12/1.35 (step @p3042 :rule cong :premises (@p3041 @p3040) :args (@t872)) % 1.12/1.35 (step @p3043 :rule eq_resolve :premises (@p186 @p3042)) % 1.12/1.35 (step @p3044 :rule cong :premises (@p3043 @p3031) :args (@t3114)) % 1.12/1.35 (step @p3045 :rule aci_norm :args ((= @t3116 @t1610))) % 1.12/1.35 (step @p3046 :rule cong :premises (@p3045) :args (@t3117)) % 1.12/1.35 (step @p3047 :rule quant-merge-prenex :args ((= (forall @t853 @t3119) @t3117))) % 1.12/1.35 (step @p3048 :rule alpha_equiv :args (@t3120 (@list @t1606) @t2413)) % 1.12/1.35 (step @p3049 :rule nary_cong :premises (@p744 @p3048) :args (@t3121)) % 1.12/1.35 (step @p3050 :rule quant-miniscope-or :args ((= @t3119 @t3121))) % 1.12/1.35 (step @p3051 :rule trans :premises (@p3050 @p3049)) % 1.12/1.35 (step @p3052 :rule symm :premises (@p3051)) % 1.12/1.35 (step @p3053 :rule cong :premises (@p3052) :args ((forall @t853 (or @t1384 @t3122)))) % 1.12/1.35 (step @p3054 :rule trans :premises (@p3053 @p3047)) % 1.12/1.35 (step @p3055 :rule trans :premises (@p3054 @p3046)) % 1.12/1.35 (step @p3056 :rule refl :args (@t3122)) % 1.12/1.35 (step @p3057 :rule nary_cong :premises (@p758 @p3056) :args (@t3123)) % 1.12/1.35 (step @p3058 :rule cong :premises (@p3057) :args ((forall @t853 @t3123))) % 1.12/1.35 (step @p3059 :rule trans :premises (@p3058 @p3055)) % 1.12/1.35 (step @p3060 :rule bool-impl-elim :args (@t7 @t3122)) % 1.12/1.35 (step @p3061 :rule cong :premises (@p3060) :args ((forall @t853 (=> @t7 @t3122)))) % 1.12/1.35 (step @p3062 :rule trans :premises (@p3061 @p3059)) % 1.12/1.35 (step @p3063 :rule refl :args (@t2788)) % 1.12/1.35 (step @p3064 :rule nary_cong :premises (@p3063 @p2973 @p2968) :args (@t3124)) % 1.12/1.35 (step @p3065 :rule cong :premises (@p3064) :args ((forall @t70 @t3124))) % 1.12/1.35 (step @p3066 :rule nary_cong :premises (@p1996 @p3008 @p2980) :args (@t3125)) % 1.12/1.35 (step @p3067 :rule cong :premises (@p3066) :args ((forall @t70 @t3125))) % 1.12/1.35 (step @p3068 :rule trans :premises (@p3067 @p3065)) % 1.12/1.35 (step @p3069 :rule aci_norm :args ((= (or @t2793 @t3107) @t3125))) % 1.12/1.35 (step @p3070 :rule nary_cong :premises (@p2001 @p3012) :args ((or @t2793 @t865))) % 1.12/1.35 (step @p3071 :rule trans :premises (@p3070 @p3069)) % 1.12/1.35 (step @p3072 :rule bool-impl-elim :args (@t354 @t865)) % 1.12/1.35 (step @p3073 :rule trans :premises (@p3072 @p3071)) % 1.12/1.35 (step @p3074 :rule cong :premises (@p3073) :args (@t866)) % 1.12/1.35 (step @p3075 :rule trans :premises (@p3074 @p3068)) % 1.12/1.35 (step @p3076 :rule cong :premises (@p811 @p3075) :args (@t867)) % 1.12/1.35 (step @p3077 :rule cong :premises (@p3076) :args (@t868)) % 1.12/1.35 (step @p3078 :rule trans :premises (@p3077 @p3062)) % 1.12/1.35 (step @p3079 :rule refl :args (tptp.dpsetconstrERa)) % 1.12/1.35 (step @p3080 :rule cong :premises (@p3079 @p3078) :args (@t869)) % 1.12/1.35 (step @p3081 :rule eq_resolve :premises (@p185 @p3080)) % 1.12/1.35 (step @p3082 :rule cong :premises (@p3081 @p3044) :args (@t3126)) % 1.12/1.35 (step @p3083 :rule refl :args (@t1483)) % 1.12/1.35 (step @p3084 :rule lambda-elim :args ((= @t3127 @t67))) % 1.12/1.35 (step @p3085 :rule cong :premises (@p1082 @p1609 @p3084) :args (@t3128)) % 1.12/1.35 (step @p3086 :rule cong :premises (@p3085 @p3083) :args (@t3129)) % 1.12/1.35 (step @p3087 :rule cong :premises (@p3086) :args ((forall @t859 @t3129))) % 1.12/1.35 (step @p3088 :rule refl :args ((tptp.subset @t857 @t674))) % 1.12/1.35 (step @p3089 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t856))) % 1.12/1.35 (step @p3090 :rule cong :premises (@p2976) :args (@t3127)) % 1.12/1.35 (step @p3091 :rule cong :premises (@p1055 @p1542 @p3090) :args (@t3128)) % 1.12/1.35 (step @p3092 :rule trans :premises (@p3091 @p3089)) % 1.12/1.35 (step @p3093 :rule cong :premises (@p3092 @p1889) :args (@t3129)) % 1.12/1.35 (step @p3094 :rule trans :premises (@p3093 @p3088)) % 1.12/1.35 (step @p3095 :rule refl :args (tptp.subset)) % 1.12/1.35 (step @p3096 :rule ho_cong :premises (@p3095 @p3092)) % 1.12/1.35 (step @p3097 :rule ho_cong :premises (@p3096 @p1889)) % 1.12/1.35 (step @p3098 :rule cong :premises (@p3097 @p3094) :args ((= (_ (_ tptp.subset @t3128) @t1483) @t3129))) % 1.12/1.35 (step @p3099 :rule symm :premises (@p3098)) % 1.12/1.35 (step @p3100 :rule refl :args (@t858)) % 1.12/1.35 (step @p3101 :rule eq_resolve :premises (@p3100 @p3099)) % 1.12/1.35 (step @p3102 :rule ho_cong :premises (@p2748 @p3090)) % 1.12/1.35 (step @p3103 :rule cong :premises (@p3102 @p3092) :args ((= (_ @t847 @t3127) @t3128))) % 1.12/1.35 (step @p3104 :rule symm :premises (@p3103)) % 1.12/1.35 (step @p3105 :rule refl :args (@t857)) % 1.12/1.35 (step @p3106 :rule eq_resolve :premises (@p3105 @p3104)) % 1.12/1.35 (step @p3107 :rule cong :premises (@p2980) :args (@t856)) % 1.12/1.35 (step @p3108 :rule ho_cong :premises (@p2748 @p3107)) % 1.12/1.35 (step @p3109 :rule trans :premises (@p3108 @p3106)) % 1.12/1.35 (step @p3110 :rule ho_cong :premises (@p3095 @p3109)) % 1.12/1.35 (step @p3111 :rule ho_cong :premises (@p3110 @p1902)) % 1.12/1.35 (step @p3112 :rule trans :premises (@p3111 @p3101)) % 1.12/1.35 (step @p3113 :rule cong :premises (@p3112) :args (@t860)) % 1.12/1.35 (step @p3114 :rule trans :premises (@p3113 @p3087)) % 1.12/1.35 (step @p3115 :rule beta-reduce :args ((= (_ @t2807 @t857) @t858))) % 1.12/1.35 (step @p3116 :rule refl :args (@t857)) % 1.12/1.35 (step @p3117 :rule ho_cong :premises (@p2050 @p3116)) % 1.12/1.35 (step @p3118 :rule trans :premises (@p3117 @p3115)) % 1.12/1.35 (step @p3119 :rule cong :premises (@p3118) :args (@t3130)) % 1.12/1.35 (step @p3120 :rule trans :premises (@p3119 @p3114)) % 1.12/1.35 (step @p3121 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.12/1.35 (step @p3122 :rule cong :premises (@p3121 @p3120) :args ((= tptp.setOfPairsIsBReln @t3130))) % 1.12/1.35 (step @p3123 :rule ho_cong :premises (@p2067 @p3116)) % 1.12/1.35 (step @p3124 :rule cong :premises (@p3123) :args (@t863)) % 1.12/1.35 (step @p3125 :rule cong :premises (@p3121 @p3124) :args (@t864)) % 1.12/1.35 (step @p3126 :rule trans :premises (@p3125 @p3122)) % 1.12/1.35 (step @p3127 :rule eq_resolve :premises (@p184 @p3126)) % 1.12/1.35 (step @p3128 :rule cong :premises (@p3127 @p3082) :args (@t3131)) % 1.12/1.35 (step @p3129 :rule refl :args (tptp.dpsetconstrSub)) % 1.12/1.35 (step @p3130 :rule cong :premises (@p3129 @p3114) :args (@t861)) % 1.12/1.35 (step @p3131 :rule eq_resolve :premises (@p183 @p3130)) % 1.12/1.35 (step @p3132 :rule cong :premises (@p3131 @p3128) :args (@t3132)) % 1.12/1.35 (step @p3133 :rule aci_norm :args ((= @t3134 @t1618))) % 1.12/1.35 (step @p3134 :rule cong :premises (@p3133) :args (@t3135)) % 1.12/1.35 (step @p3135 :rule quant-merge-prenex :args ((= (forall @t853 @t3137) @t3135))) % 1.12/1.35 (step @p3136 :rule alpha_equiv :args (@t3138 (@list @t1614) @t2413)) % 1.12/1.35 (step @p3137 :rule nary_cong :premises (@p744 @p3136) :args (@t3139)) % 1.12/1.35 (step @p3138 :rule quant-miniscope-or :args ((= @t3137 @t3139))) % 1.12/1.35 (step @p3139 :rule trans :premises (@p3138 @p3137)) % 1.12/1.35 (step @p3140 :rule symm :premises (@p3139)) % 1.12/1.35 (step @p3141 :rule cong :premises (@p3140) :args ((forall @t853 (or @t1384 @t3140)))) % 1.12/1.35 (step @p3142 :rule trans :premises (@p3141 @p3135)) % 1.12/1.35 (step @p3143 :rule trans :premises (@p3142 @p3134)) % 1.12/1.35 (step @p3144 :rule refl :args (@t3140)) % 1.12/1.35 (step @p3145 :rule nary_cong :premises (@p758 @p3144) :args (@t3141)) % 1.12/1.35 (step @p3146 :rule cong :premises (@p3145) :args ((forall @t853 @t3141))) % 1.12/1.35 (step @p3147 :rule trans :premises (@p3146 @p3143)) % 1.12/1.35 (step @p3148 :rule bool-impl-elim :args (@t7 @t3140)) % 1.12/1.35 (step @p3149 :rule cong :premises (@p3148) :args ((forall @t853 (=> @t7 @t3140)))) % 1.12/1.35 (step @p3150 :rule trans :premises (@p3149 @p3147)) % 1.12/1.35 (step @p3151 :rule refl :args (@t2163)) % 1.12/1.35 (step @p3152 :rule nary_cong :premises (@p3063 @p3151 @p2972) :args (@t3142)) % 1.12/1.35 (step @p3153 :rule cong :premises (@p3152) :args ((forall @t70 @t3142))) % 1.12/1.35 (step @p3154 :rule cong :premises (@p2980) :args (@t3143)) % 1.12/1.35 (step @p3155 :rule nary_cong :premises (@p1996 @p3154 @p3007) :args (@t3144)) % 1.12/1.35 (step @p3156 :rule cong :premises (@p3155) :args ((forall @t70 @t3144))) % 1.12/1.35 (step @p3157 :rule trans :premises (@p3156 @p3153)) % 1.12/1.35 (step @p3158 :rule aci_norm :args ((= (or @t2793 (or @t3143 @t849)) @t3144))) % 1.12/1.35 (step @p3159 :rule bool-impl-elim :args (@t76 @t849)) % 1.12/1.35 (step @p3160 :rule nary_cong :premises (@p2001 @p3159) :args ((or @t2793 @t850))) % 1.12/1.35 (step @p3161 :rule trans :premises (@p3160 @p3158)) % 1.12/1.35 (step @p3162 :rule bool-impl-elim :args (@t354 @t850)) % 1.12/1.35 (step @p3163 :rule trans :premises (@p3162 @p3161)) % 1.12/1.35 (step @p3164 :rule cong :premises (@p3163) :args (@t851)) % 1.12/1.35 (step @p3165 :rule trans :premises (@p3164 @p3157)) % 1.12/1.35 (step @p3166 :rule cong :premises (@p811 @p3165) :args (@t852)) % 1.12/1.35 (step @p3167 :rule cong :premises (@p3166) :args (@t854)) % 1.12/1.35 (step @p3168 :rule trans :premises (@p3167 @p3150)) % 1.12/1.35 (step @p3169 :rule refl :args (tptp.dpsetconstrI)) % 1.12/1.35 (step @p3170 :rule cong :premises (@p3169 @p3168) :args (@t855)) % 1.12/1.35 (step @p3171 :rule eq_resolve :premises (@p182 @p3170)) % 1.12/1.35 (step @p3172 :rule cong :premises (@p3171 @p3132) :args (@t3145)) % 1.12/1.35 (step @p3173 :rule refl :args ((tptp.kpair @t767 @t813))) % 1.12/1.35 (step @p3174 :rule refl :args (@t1621)) % 1.12/1.35 (step @p3175 :rule refl :args (@t1622)) % 1.12/1.35 (step @p3176 :rule cong :premises (@p3175 @p3174) :args (@t1623)) % 1.12/1.35 (step @p3177 :rule trans :premises (@p3176 @p3173)) % 1.12/1.35 (step @p3178 :rule refl :args (tptp.kpair)) % 1.12/1.35 (step @p3179 :rule ho_cong :premises (@p3178 @p3175)) % 1.12/1.35 (step @p3180 :rule ho_cong :premises (@p3179 @p3174)) % 1.12/1.35 (step @p3181 :rule cong :premises (@p3180 @p3177) :args ((= (_ @t3146 @t1621) @t1623))) % 1.12/1.35 (step @p3182 :rule symm :premises (@p3181)) % 1.12/1.35 (step @p3183 :rule refl :args (@t814)) % 1.12/1.35 (step @p3184 :rule eq_resolve :premises (@p3183 @p3182)) % 1.12/1.35 (step @p3185 :rule refl :args (@t813)) % 1.12/1.35 (step @p3186 :rule cong :premises (@p3185 @p3174) :args ((= @t813 @t1621))) % 1.12/1.35 (step @p3187 :rule symm :premises (@p3186)) % 1.12/1.35 (step @p3188 :rule eq_resolve :premises (@p3185 @p3187)) % 1.12/1.35 (step @p3189 :rule refl :args (@t767)) % 1.12/1.35 (step @p3190 :rule cong :premises (@p3189 @p3175) :args ((= @t767 @t1622))) % 1.12/1.35 (step @p3191 :rule symm :premises (@p3190)) % 1.12/1.35 (step @p3192 :rule eq_resolve :premises (@p3189 @p3191)) % 1.12/1.35 (step @p3193 :rule ho_cong :premises (@p3178 @p3192)) % 1.12/1.35 (step @p3194 :rule ho_cong :premises (@p3193 @p3188)) % 1.12/1.35 (step @p3195 :rule trans :premises (@p3194 @p3184)) % 1.12/1.35 (step @p3196 :rule refl :args (@t383)) % 1.12/1.35 (step @p3197 :rule cong :premises (@p3196 @p3195) :args (@t3147)) % 1.12/1.35 (step @p3198 :rule refl :args ((tptp.in @t383 @t674))) % 1.12/1.35 (step @p3199 :rule cong :premises (@p3196 @p1889) :args (@t1625)) % 1.12/1.35 (step @p3200 :rule trans :premises (@p3199 @p3198)) % 1.12/1.35 (step @p3201 :rule refl :args (@t685)) % 1.12/1.35 (step @p3202 :rule ho_cong :premises (@p3201 @p1889)) % 1.12/1.35 (step @p3203 :rule cong :premises (@p3202 @p3200) :args ((= (_ @t685 @t1483) @t1625))) % 1.12/1.35 (step @p3204 :rule symm :premises (@p3203)) % 1.12/1.35 (step @p3205 :rule refl :args (@t686)) % 1.12/1.35 (step @p3206 :rule eq_resolve :premises (@p3205 @p3204)) % 1.12/1.35 (step @p3207 :rule ho_cong :premises (@p3201 @p1902)) % 1.12/1.35 (step @p3208 :rule trans :premises (@p3207 @p3206)) % 1.12/1.35 (step @p3209 :rule cong :premises (@p3208) :args (@t3148)) % 1.12/1.35 (step @p3210 :rule nary_cong :premises (@p3209 @p3197) :args (@t3149)) % 1.12/1.35 (step @p3211 :rule cong :premises (@p3210) :args ((forall @t688 @t3149))) % 1.12/1.35 (step @p3212 :rule bool-impl-elim :args (@t686 @t3147)) % 1.12/1.35 (step @p3213 :rule cong :premises (@p3212) :args ((forall @t688 (=> @t686 @t3147)))) % 1.12/1.35 (step @p3214 :rule trans :premises (@p3213 @p3211)) % 1.12/1.35 (step @p3215 :rule eq-symm :args (@t814 @t383)) % 1.12/1.35 (step @p3216 :rule refl :args (@t686)) % 1.12/1.35 (step @p3217 :rule cong :premises (@p3216 @p3215) :args (@t842)) % 1.12/1.35 (step @p3218 :rule cong :premises (@p3217) :args (@t843)) % 1.12/1.35 (step @p3219 :rule trans :premises (@p3218 @p3214)) % 1.12/1.35 (step @p3220 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.12/1.35 (step @p3221 :rule cong :premises (@p3220 @p3219) :args (@t844)) % 1.12/1.35 (step @p3222 :rule eq_resolve :premises (@p181 @p3221)) % 1.12/1.35 (step @p3223 :rule cong :premises (@p3222 @p3172) :args (@t3150)) % 1.12/1.35 (step @p3224 :rule aci_norm :args ((= @t3152 @t1631))) % 1.12/1.35 (step @p3225 :rule cong :premises (@p3224) :args (@t3153)) % 1.12/1.35 (step @p3226 :rule quant-merge-prenex :args ((= (forall @t245 @t3155) @t3153))) % 1.12/1.35 (step @p3227 :rule alpha_equiv :args (@t3156 (@list @t1628) @t2413)) % 1.12/1.35 (step @p3228 :rule nary_cong :premises (@p744 @p3227) :args (@t3157)) % 1.12/1.35 (step @p3229 :rule quant-miniscope-or :args ((= @t3155 @t3157))) % 1.12/1.35 (step @p3230 :rule trans :premises (@p3229 @p3228)) % 1.12/1.35 (step @p3231 :rule symm :premises (@p3230)) % 1.12/1.35 (step @p3232 :rule cong :premises (@p3231) :args ((forall @t245 (or @t1384 @t3158)))) % 1.12/1.35 (step @p3233 :rule trans :premises (@p3232 @p3226)) % 1.12/1.35 (step @p3234 :rule trans :premises (@p3233 @p3225)) % 1.12/1.35 (step @p3235 :rule refl :args (@t3158)) % 1.12/1.35 (step @p3236 :rule nary_cong :premises (@p758 @p3235) :args (@t3159)) % 1.12/1.35 (step @p3237 :rule cong :premises (@p3236) :args ((forall @t245 @t3159))) % 1.12/1.35 (step @p3238 :rule trans :premises (@p3237 @p3234)) % 1.12/1.35 (step @p3239 :rule bool-impl-elim :args (@t7 @t3158)) % 1.12/1.35 (step @p3240 :rule cong :premises (@p3239) :args ((forall @t245 (=> @t7 @t3158)))) % 1.12/1.35 (step @p3241 :rule trans :premises (@p3240 @p3238)) % 1.12/1.35 (step @p3242 :rule refl :args ((tptp.ksnd @t632))) % 1.12/1.35 (step @p3243 :rule cong :premises (@p1964) :args (@t1649)) % 1.12/1.35 (step @p3244 :rule trans :premises (@p3243 @p3242)) % 1.12/1.35 (step @p3245 :rule refl :args (tptp.ksnd)) % 1.12/1.35 (step @p3246 :rule ho_cong :premises (@p3245 @p1964)) % 1.12/1.35 (step @p3247 :rule cong :premises (@p3246 @p3244) :args ((= (_ tptp.ksnd @t1599) @t1649))) % 1.12/1.35 (step @p3248 :rule symm :premises (@p3247)) % 1.12/1.35 (step @p3249 :rule refl :args (@t809)) % 1.12/1.35 (step @p3250 :rule eq_resolve :premises (@p3249 @p3248)) % 1.12/1.35 (step @p3251 :rule ho_cong :premises (@p3245 @p1976)) % 1.12/1.35 (step @p3252 :rule trans :premises (@p3251 @p3250)) % 1.12/1.35 (step @p3253 :rule cong :premises (@p863 @p3252) :args (@t3160)) % 1.12/1.35 (step @p3254 :rule nary_cong :premises (@p1996 @p3253) :args (@t3161)) % 1.12/1.35 (step @p3255 :rule cong :premises (@p3254) :args ((forall @t70 @t3161))) % 1.12/1.35 (step @p3256 :rule bool-impl-elim :args (@t354 @t3160)) % 1.12/1.35 (step @p3257 :rule cong :premises (@p3256) :args ((forall @t70 (=> @t354 @t3160)))) % 1.12/1.35 (step @p3258 :rule trans :premises (@p3257 @p3255)) % 1.12/1.35 (step @p3259 :rule eq-symm :args (@t809 @t19)) % 1.12/1.35 (step @p3260 :rule cong :premises (@p2203 @p3259) :args (@t837)) % 1.12/1.35 (step @p3261 :rule cong :premises (@p3260) :args (@t838)) % 1.12/1.35 (step @p3262 :rule trans :premises (@p3261 @p3258)) % 1.12/1.35 (step @p3263 :rule cong :premises (@p811 @p3262) :args (@t839)) % 1.12/1.35 (step @p3264 :rule cong :premises (@p3263) :args (@t840)) % 1.12/1.35 (step @p3265 :rule trans :premises (@p3264 @p3241)) % 1.12/1.35 (step @p3266 :rule refl :args (tptp.cartprodsndpairEq)) % 1.12/1.35 (step @p3267 :rule cong :premises (@p3266 @p3265) :args (@t841)) % 1.12/1.35 (step @p3268 :rule eq_resolve :premises (@p180 @p3267)) % 1.12/1.35 (step @p3269 :rule cong :premises (@p3268 @p3223) :args (@t3162)) % 1.12/1.35 (step @p3270 :rule aci_norm :args ((= @t3164 @t1637))) % 1.12/1.35 (step @p3271 :rule cong :premises (@p3270) :args (@t3165)) % 1.12/1.35 (step @p3272 :rule quant-merge-prenex :args ((= (forall @t245 @t3167) @t3165))) % 1.12/1.35 (step @p3273 :rule alpha_equiv :args (@t3168 (@list @t1634) @t2413)) % 1.12/1.35 (step @p3274 :rule nary_cong :premises (@p744 @p3273) :args (@t3169)) % 1.12/1.35 (step @p3275 :rule quant-miniscope-or :args ((= @t3167 @t3169))) % 1.12/1.35 (step @p3276 :rule trans :premises (@p3275 @p3274)) % 1.12/1.35 (step @p3277 :rule symm :premises (@p3276)) % 1.12/1.35 (step @p3278 :rule cong :premises (@p3277) :args ((forall @t245 (or @t1384 @t3170)))) % 1.12/1.35 (step @p3279 :rule trans :premises (@p3278 @p3272)) % 1.12/1.35 (step @p3280 :rule trans :premises (@p3279 @p3271)) % 1.12/1.35 (step @p3281 :rule refl :args (@t3170)) % 1.12/1.35 (step @p3282 :rule nary_cong :premises (@p758 @p3281) :args (@t3171)) % 1.12/1.35 (step @p3283 :rule cong :premises (@p3282) :args ((forall @t245 @t3171))) % 1.12/1.35 (step @p3284 :rule trans :premises (@p3283 @p3280)) % 1.12/1.35 (step @p3285 :rule bool-impl-elim :args (@t7 @t3170)) % 1.12/1.35 (step @p3286 :rule cong :premises (@p3285) :args ((forall @t245 (=> @t7 @t3170)))) % 1.12/1.35 (step @p3287 :rule trans :premises (@p3286 @p3284)) % 1.12/1.35 (step @p3288 :rule refl :args ((tptp.kfst @t632))) % 1.12/1.35 (step @p3289 :rule cong :premises (@p1964) :args (@t1687)) % 1.12/1.35 (step @p3290 :rule trans :premises (@p3289 @p3288)) % 1.12/1.35 (step @p3291 :rule refl :args (tptp.kfst)) % 1.12/1.35 (step @p3292 :rule ho_cong :premises (@p3291 @p1964)) % 1.12/1.35 (step @p3293 :rule cong :premises (@p3292 @p3290) :args ((= (_ tptp.kfst @t1599) @t1687))) % 1.12/1.35 (step @p3294 :rule symm :premises (@p3293)) % 1.12/1.35 (step @p3295 :rule refl :args (@t763)) % 1.12/1.35 (step @p3296 :rule eq_resolve :premises (@p3295 @p3294)) % 1.12/1.35 (step @p3297 :rule ho_cong :premises (@p3291 @p1976)) % 1.12/1.35 (step @p3298 :rule trans :premises (@p3297 @p3296)) % 1.12/1.35 (step @p3299 :rule cong :premises (@p768 @p3298) :args (@t3172)) % 1.12/1.35 (step @p3300 :rule nary_cong :premises (@p1996 @p3299) :args (@t3173)) % 1.12/1.35 (step @p3301 :rule cong :premises (@p3300) :args ((forall @t70 @t3173))) % 1.12/1.35 (step @p3302 :rule bool-impl-elim :args (@t354 @t3172)) % 1.12/1.35 (step @p3303 :rule cong :premises (@p3302) :args ((forall @t70 (=> @t354 @t3172)))) % 1.12/1.35 (step @p3304 :rule trans :premises (@p3303 @p3301)) % 1.12/1.35 (step @p3305 :rule eq-symm :args (@t763 @t4)) % 1.12/1.35 (step @p3306 :rule cong :premises (@p2203 @p3305) :args (@t832)) % 1.12/1.35 (step @p3307 :rule cong :premises (@p3306) :args (@t833)) % 1.12/1.35 (step @p3308 :rule trans :premises (@p3307 @p3304)) % 1.12/1.35 (step @p3309 :rule cong :premises (@p811 @p3308) :args (@t834)) % 1.12/1.35 (step @p3310 :rule cong :premises (@p3309) :args (@t835)) % 1.12/1.35 (step @p3311 :rule trans :premises (@p3310 @p3287)) % 1.12/1.35 (step @p3312 :rule refl :args (tptp.cartprodfstpairEq)) % 1.12/1.35 (step @p3313 :rule cong :premises (@p3312 @p3311) :args (@t836)) % 1.12/1.35 (step @p3314 :rule eq_resolve :premises (@p179 @p3313)) % 1.12/1.35 (step @p3315 :rule cong :premises (@p3314 @p3269) :args (@t3174)) % 1.12/1.35 (step @p3316 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.12/1.35 (step @p3317 :rule symm :premises (@p3316)) % 1.12/1.35 (step @p3318 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.12/1.35 (step @p3319 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.12/1.35 (step @p3320 :rule bool-impl-true1 :args (@t354)) % 1.12/1.35 (step @p3321 :rule eq-refl :args (@t632)) % 1.12/1.35 (step @p3322 :rule cong :premises (@p2203 @p3321) :args (@t827)) % 1.12/1.35 (step @p3323 :rule trans :premises (@p3322 @p3320)) % 1.12/1.35 (step @p3324 :rule cong :premises (@p3323) :args (@t828)) % 1.12/1.35 (step @p3325 :rule trans :premises (@p3324 @p3319)) % 1.12/1.35 (step @p3326 :rule cong :premises (@p811 @p3325) :args (@t829)) % 1.12/1.35 (step @p3327 :rule trans :premises (@p3326 @p1731)) % 1.12/1.35 (step @p3328 :rule cong :premises (@p3327) :args (@t830)) % 1.12/1.35 (step @p3329 :rule trans :premises (@p3328 @p3318)) % 1.12/1.35 (step @p3330 :rule refl :args (tptp.cartprodmempaircEq)) % 1.12/1.35 (step @p3331 :rule cong :premises (@p3330 @p3329) :args (@t831)) % 1.12/1.35 (step @p3332 :rule trans :premises (@p3331 @p3316)) % 1.12/1.35 (step @p3333 :rule eq_resolve :premises (@p178 @p3332)) % 1.12/1.35 (step @p3334 :rule eq_resolve :premises (@p3333 @p3317)) % 1.12/1.35 (step @p3335 :rule cong :premises (@p3334 @p3315) :args (@t3175)) % 1.12/1.35 (step @p3336 :rule refl :args ((tptp.in @t632 @t674))) % 1.12/1.35 (step @p3337 :rule cong :premises (@p1964 @p1889) :args (@t1640)) % 1.12/1.35 (step @p3338 :rule trans :premises (@p3337 @p3336)) % 1.12/1.35 (step @p3339 :rule ho_cong :premises (@p1967 @p1889)) % 1.12/1.35 (step @p3340 :rule cong :premises (@p3339 @p3338) :args ((= (_ @t2791 @t1483) @t1640))) % 1.12/1.35 (step @p3341 :rule symm :premises (@p3340)) % 1.12/1.35 (step @p3342 :rule refl :args (@t675)) % 1.12/1.35 (step @p3343 :rule eq_resolve :premises (@p3342 @p3341)) % 1.12/1.35 (step @p3344 :rule ho_cong :premises (@p1977 @p1902)) % 1.12/1.35 (step @p3345 :rule trans :premises (@p3344 @p3343)) % 1.12/1.35 (step @p3346 :rule cong :premises (@p3345) :args (@t3176)) % 1.12/1.35 (step @p3347 :rule nary_cong :premises (@p3346 @p1995) :args (@t3177)) % 1.12/1.35 (step @p3348 :rule cong :premises (@p3347) :args ((forall @t822 @t3177))) % 1.12/1.35 (step @p3349 :rule bool-impl-elim :args (@t675 @t354)) % 1.12/1.35 (step @p3350 :rule cong :premises (@p3349) :args (@t825)) % 1.12/1.35 (step @p3351 :rule trans :premises (@p3350 @p3348)) % 1.12/1.35 (step @p3352 :rule refl :args (tptp.cartprodpairmemER)) % 1.12/1.35 (step @p3353 :rule cong :premises (@p3352 @p3351) :args (@t826)) % 1.12/1.35 (step @p3354 :rule eq_resolve :premises (@p177 @p3353)) % 1.12/1.35 (step @p3355 :rule cong :premises (@p3354 @p3335) :args (@t3178)) % 1.12/1.35 (step @p3356 :rule nary_cong :premises (@p3346 @p757) :args (@t3179)) % 1.12/1.35 (step @p3357 :rule cong :premises (@p3356) :args ((forall @t822 @t3179))) % 1.12/1.35 (step @p3358 :rule bool-impl-elim :args (@t675 @t7)) % 1.12/1.35 (step @p3359 :rule cong :premises (@p3358) :args (@t823)) % 1.12/1.35 (step @p3360 :rule trans :premises (@p3359 @p3357)) % 1.12/1.35 (step @p3361 :rule refl :args (tptp.cartprodpairmemEL)) % 1.12/1.35 (step @p3362 :rule cong :premises (@p3361 @p3360) :args (@t824)) % 1.12/1.35 (step @p3363 :rule eq_resolve :premises (@p176 @p3362)) % 1.12/1.35 (step @p3364 :rule cong :premises (@p3363 @p3355) :args (@t3180)) % 1.12/1.35 (step @p3365 :rule refl :args ((tptp.in @t813 @t1))) % 1.12/1.35 (step @p3366 :rule cong :premises (@p3174 @p1542) :args (@t1644)) % 1.12/1.35 (step @p3367 :rule trans :premises (@p3366 @p3365)) % 1.12/1.35 (step @p3368 :rule ho_cong :premises (@p774 @p3174)) % 1.12/1.35 (step @p3369 :rule ho_cong :premises (@p3368 @p1542)) % 1.12/1.35 (step @p3370 :rule cong :premises (@p3369 @p3367) :args ((= (_ (_ tptp.in @t1621) @t1) @t1644))) % 1.12/1.35 (step @p3371 :rule symm :premises (@p3370)) % 1.12/1.35 (step @p3372 :rule refl :args (@t819)) % 1.12/1.35 (step @p3373 :rule eq_resolve :premises (@p3372 @p3371)) % 1.12/1.35 (step @p3374 :rule ho_cong :premises (@p774 @p3188)) % 1.12/1.35 (step @p3375 :rule ho_cong :premises (@p3374 @p1542)) % 1.12/1.35 (step @p3376 :rule trans :premises (@p3375 @p3373)) % 1.12/1.35 (step @p3377 :rule nary_cong :premises (@p3209 @p3376) :args (@t3181)) % 1.12/1.35 (step @p3378 :rule cong :premises (@p3377) :args ((forall @t688 @t3181))) % 1.12/1.35 (step @p3379 :rule bool-impl-elim :args (@t686 @t819)) % 1.12/1.35 (step @p3380 :rule cong :premises (@p3379) :args (@t820)) % 1.12/1.35 (step @p3381 :rule trans :premises (@p3380 @p3378)) % 1.12/1.35 (step @p3382 :rule refl :args (tptp.cartprodsndin)) % 1.12/1.35 (step @p3383 :rule cong :premises (@p3382 @p3381) :args (@t821)) % 1.12/1.35 (step @p3384 :rule eq_resolve :premises (@p175 @p3383)) % 1.12/1.35 (step @p3385 :rule cong :premises (@p3384 @p3364) :args (@t3182)) % 1.12/1.35 (step @p3386 :rule refl :args (@t1646)) % 1.12/1.35 (step @p3387 :rule refl :args (@t691)) % 1.12/1.35 (step @p3388 :rule cong :premises (@p3387 @p3386) :args ((= @t691 @t1646))) % 1.12/1.35 (step @p3389 :rule symm :premises (@p3388)) % 1.12/1.35 (step @p3390 :rule eq_resolve :premises (@p3387 @p3389)) % 1.12/1.35 (step @p3391 :rule cong :premises (@p3390) :args (@t3183)) % 1.12/1.35 (step @p3392 :rule nary_cong :premises (@p3391 @p3197) :args (@t3184)) % 1.12/1.35 (step @p3393 :rule cong :premises (@p3392) :args ((forall @t755 @t3184))) % 1.12/1.35 (step @p3394 :rule bool-impl-elim :args (@t691 @t3147)) % 1.12/1.35 (step @p3395 :rule cong :premises (@p3394) :args ((forall @t755 (=> @t691 @t3147)))) % 1.12/1.35 (step @p3396 :rule trans :premises (@p3395 @p3393)) % 1.12/1.35 (step @p3397 :rule refl :args (@t691)) % 1.12/1.35 (step @p3398 :rule cong :premises (@p3397 @p3215) :args (@t816)) % 1.12/1.35 (step @p3399 :rule cong :premises (@p3398) :args (@t817)) % 1.12/1.35 (step @p3400 :rule trans :premises (@p3399 @p3396)) % 1.12/1.35 (step @p3401 :rule refl :args (tptp.kpairsurjEq)) % 1.12/1.35 (step @p3402 :rule cong :premises (@p3401 @p3400) :args (@t818)) % 1.12/1.35 (step @p3403 :rule eq_resolve :premises (@p174 @p3402)) % 1.12/1.35 (step @p3404 :rule cong :premises (@p3403 @p3385) :args (@t3185)) % 1.12/1.35 (step @p3405 :rule cong :premises (@p3253) :args ((forall @t135 @t3160))) % 1.12/1.35 (step @p3406 :rule cong :premises (@p3259) :args (@t811)) % 1.12/1.35 (step @p3407 :rule trans :premises (@p3406 @p3405)) % 1.12/1.35 (step @p3408 :rule refl :args (tptp.ksndpairEq)) % 1.12/1.35 (step @p3409 :rule cong :premises (@p3408 @p3407) :args (@t812)) % 1.12/1.35 (step @p3410 :rule eq_resolve :premises (@p173 @p3409)) % 1.12/1.35 (step @p3411 :rule cong :premises (@p3410 @p3404) :args (@t3186)) % 1.12/1.35 (step @p3412 :rule refl :args ((tptp.singleton @t805))) % 1.12/1.35 (step @p3413 :rule refl :args ((tptp.dsetconstr @t751 @t804))) % 1.12/1.35 (step @p3414 :rule refl :args ((tptp.kpair @t767 @t4))) % 1.12/1.35 (step @p3415 :rule cong :premises (@p3175 @p768) :args (@t1652)) % 1.12/1.35 (step @p3416 :rule trans :premises (@p3415 @p3414)) % 1.12/1.35 (step @p3417 :rule cong :premises (@p3196 @p3416) :args (@t1653)) % 1.12/1.35 (step @p3418 :rule cong :premises (@p3417) :args (@t1654)) % 1.12/1.35 (step @p3419 :rule refl :args (@t1655)) % 1.12/1.35 (step @p3420 :rule cong :premises (@p3419 @p3418) :args (@t1656)) % 1.12/1.35 (step @p3421 :rule trans :premises (@p3420 @p3413)) % 1.12/1.35 (step @p3422 :rule cong :premises (@p3421) :args (@t1657)) % 1.12/1.35 (step @p3423 :rule trans :premises (@p3422 @p3412)) % 1.12/1.35 (step @p3424 :rule ho_cong :premises (@p1110 @p3421)) % 1.12/1.35 (step @p3425 :rule cong :premises (@p3424 @p3423) :args ((= (_ tptp.singleton @t1656) @t1657))) % 1.12/1.35 (step @p3426 :rule symm :premises (@p3425)) % 1.12/1.35 (step @p3427 :rule refl :args (@t806)) % 1.12/1.35 (step @p3428 :rule eq_resolve :premises (@p3427 @p3426)) % 1.12/1.35 (step @p3429 :rule refl :args (tptp.dsetconstr)) % 1.12/1.35 (step @p3430 :rule ho_cong :premises (@p3429 @p3419)) % 1.12/1.35 (step @p3431 :rule ho_cong :premises (@p3430 @p3418)) % 1.12/1.35 (step @p3432 :rule cong :premises (@p3431 @p3421) :args ((= (_ @t3187 @t1654) @t1656))) % 1.12/1.35 (step @p3433 :rule symm :premises (@p3432)) % 1.12/1.35 (step @p3434 :rule refl :args (@t805)) % 1.12/1.35 (step @p3435 :rule eq_resolve :premises (@p3434 @p3433)) % 1.12/1.35 (step @p3436 :rule ho_cong :premises (@p3179 @p768)) % 1.12/1.35 (step @p3437 :rule cong :premises (@p3436 @p3416) :args ((= (_ @t3146 @t4) @t1652))) % 1.12/1.35 (step @p3438 :rule symm :premises (@p3437)) % 1.12/1.35 (step @p3439 :rule refl :args (@t802)) % 1.12/1.35 (step @p3440 :rule eq_resolve :premises (@p3439 @p3438)) % 1.12/1.35 (step @p3441 :rule ho_cong :premises (@p3193 @p768)) % 1.12/1.35 (step @p3442 :rule trans :premises (@p3441 @p3440)) % 1.12/1.35 (step @p3443 :rule cong :premises (@p3196 @p3442) :args (@t803)) % 1.12/1.35 (step @p3444 :rule cong :premises (@p3443) :args (@t804)) % 1.12/1.35 (step @p3445 :rule refl :args (@t751)) % 1.12/1.35 (step @p3446 :rule cong :premises (@p3445 @p3419) :args ((= @t751 @t1655))) % 1.12/1.35 (step @p3447 :rule symm :premises (@p3446)) % 1.12/1.35 (step @p3448 :rule eq_resolve :premises (@p3445 @p3447)) % 1.12/1.35 (step @p3449 :rule ho_cong :premises (@p3429 @p3448)) % 1.12/1.35 (step @p3450 :rule ho_cong :premises (@p3449 @p3444)) % 1.12/1.35 (step @p3451 :rule trans :premises (@p3450 @p3435)) % 1.12/1.35 (step @p3452 :rule ho_cong :premises (@p1110 @p3451)) % 1.12/1.35 (step @p3453 :rule trans :premises (@p3452 @p3428)) % 1.12/1.35 (step @p3454 :rule nary_cong :premises (@p3391 @p3453) :args (@t3188)) % 1.12/1.35 (step @p3455 :rule cong :premises (@p3454) :args ((forall @t755 @t3188))) % 1.12/1.35 (step @p3456 :rule bool-impl-elim :args (@t691 @t806)) % 1.12/1.35 (step @p3457 :rule cong :premises (@p3456) :args (@t807)) % 1.12/1.35 (step @p3458 :rule trans :premises (@p3457 @p3455)) % 1.12/1.35 (step @p3459 :rule refl :args (tptp.ksndsingleton)) % 1.12/1.35 (step @p3460 :rule cong :premises (@p3459 @p3458) :args (@t808)) % 1.12/1.35 (step @p3461 :rule eq_resolve :premises (@p172 @p3460)) % 1.12/1.35 (step @p3462 :rule cong :premises (@p3461 @p3411) :args (@t3189)) % 1.12/1.35 (step @p3463 :rule refl :args (@t790)) % 1.12/1.35 (step @p3464 :rule refl :args (@t1659)) % 1.12/1.35 (step @p3465 :rule refl :args (@t779)) % 1.12/1.35 (step @p3466 :rule cong :premises (@p3465 @p3464) :args ((= @t779 @t1659))) % 1.12/1.35 (step @p3467 :rule symm :premises (@p3466)) % 1.12/1.35 (step @p3468 :rule eq_resolve :premises (@p3465 @p3467)) % 1.12/1.35 (step @p3469 :rule cong :premises (@p1976 @p3468) :args (@t780)) % 1.12/1.35 (step @p3470 :rule cong :premises (@p3469) :args (@t3190)) % 1.12/1.35 (step @p3471 :rule nary_cong :premises (@p3470 @p3463) :args (@t3191)) % 1.12/1.35 (step @p3472 :rule cong :premises (@p3471) :args ((forall @t776 @t3191))) % 1.12/1.35 (step @p3473 :rule bool-impl-elim :args (@t780 @t790)) % 1.12/1.35 (step @p3474 :rule cong :premises (@p3473) :args (@t799)) % 1.12/1.35 (step @p3475 :rule trans :premises (@p3474 @p3472)) % 1.12/1.35 (step @p3476 :rule refl :args (tptp.setukpairinjR)) % 1.12/1.35 (step @p3477 :rule cong :premises (@p3476 @p3475) :args (@t800)) % 1.12/1.35 (step @p3478 :rule eq_resolve :premises (@p171 @p3477)) % 1.12/1.35 (step @p3479 :rule cong :premises (@p3478 @p3462) :args (@t3192)) % 1.12/1.35 (step @p3480 :rule refl :args ((tptp.setadjoin @t745 @t773))) % 1.12/1.35 (step @p3481 :rule refl :args ((tptp.setadjoin @t772 tptp.emptyset))) % 1.12/1.35 (step @p3482 :rule refl :args ((tptp.setadjoin @t289 @t771))) % 1.12/1.35 (step @p3483 :rule refl :args (@t1662)) % 1.12/1.35 (step @p3484 :rule refl :args (@t289)) % 1.12/1.35 (step @p3485 :rule cong :premises (@p3484 @p3483) :args (@t1663)) % 1.12/1.35 (step @p3486 :rule trans :premises (@p3485 @p3482)) % 1.12/1.35 (step @p3487 :rule cong :premises (@p3486 @p286) :args (@t1664)) % 1.12/1.35 (step @p3488 :rule trans :premises (@p3487 @p3481)) % 1.12/1.35 (step @p3489 :rule refl :args (@t1665)) % 1.12/1.35 (step @p3490 :rule cong :premises (@p3489 @p3488) :args (@t1666)) % 1.12/1.35 (step @p3491 :rule trans :premises (@p3490 @p3480)) % 1.12/1.35 (step @p3492 :rule refl :args (tptp.setadjoin)) % 1.12/1.35 (step @p3493 :rule ho_cong :premises (@p3492 @p3489)) % 1.12/1.35 (step @p3494 :rule ho_cong :premises (@p3493 @p3488)) % 1.12/1.35 (step @p3495 :rule cong :premises (@p3494 @p3491) :args ((= (_ (_ tptp.setadjoin @t1665) @t1664) @t1666))) % 1.12/1.35 (step @p3496 :rule symm :premises (@p3495)) % 1.12/1.35 (step @p3497 :rule refl :args (@t774)) % 1.12/1.35 (step @p3498 :rule eq_resolve :premises (@p3497 @p3496)) % 1.12/1.35 (step @p3499 :rule ho_cong :premises (@p3492 @p3486)) % 1.12/1.35 (step @p3500 :rule ho_cong :premises (@p3499 @p286)) % 1.12/1.35 (step @p3501 :rule cong :premises (@p3500 @p3488) :args ((= (_ (_ tptp.setadjoin @t1663) tptp.emptyset) @t1664))) % 1.12/1.35 (step @p3502 :rule symm :premises (@p3501)) % 1.12/1.35 (step @p3503 :rule refl :args (@t773)) % 1.12/1.35 (step @p3504 :rule eq_resolve :premises (@p3503 @p3502)) % 1.12/1.35 (step @p3505 :rule refl :args (@t744)) % 1.12/1.35 (step @p3506 :rule ho_cong :premises (@p3505 @p3483)) % 1.12/1.35 (step @p3507 :rule cong :premises (@p3506 @p3486) :args ((= (_ @t744 @t1662) @t1663))) % 1.12/1.35 (step @p3508 :rule symm :premises (@p3507)) % 1.12/1.35 (step @p3509 :rule refl :args (@t772)) % 1.12/1.35 (step @p3510 :rule eq_resolve :premises (@p3509 @p3508)) % 1.12/1.35 (step @p3511 :rule refl :args (@t771)) % 1.12/1.35 (step @p3512 :rule cong :premises (@p3511 @p3483) :args ((= @t771 @t1662))) % 1.12/1.35 (step @p3513 :rule symm :premises (@p3512)) % 1.12/1.35 (step @p3514 :rule eq_resolve :premises (@p3511 @p3513)) % 1.12/1.35 (step @p3515 :rule ho_cong :premises (@p3505 @p3514)) % 1.12/1.35 (step @p3516 :rule trans :premises (@p3515 @p3510)) % 1.12/1.35 (step @p3517 :rule ho_cong :premises (@p3492 @p3516)) % 1.12/1.35 (step @p3518 :rule ho_cong :premises (@p3517 @p286)) % 1.12/1.35 (step @p3519 :rule trans :premises (@p3518 @p3504)) % 1.12/1.35 (step @p3520 :rule refl :args (@t745)) % 1.12/1.35 (step @p3521 :rule cong :premises (@p3520 @p3489) :args ((= @t745 @t1665))) % 1.12/1.35 (step @p3522 :rule symm :premises (@p3521)) % 1.12/1.35 (step @p3523 :rule eq_resolve :premises (@p3520 @p3522)) % 1.12/1.35 (step @p3524 :rule ho_cong :premises (@p3492 @p3523)) % 1.12/1.35 (step @p3525 :rule ho_cong :premises (@p3524 @p3519)) % 1.12/1.35 (step @p3526 :rule trans :premises (@p3525 @p3498)) % 1.12/1.35 (step @p3527 :rule refl :args ((tptp.setadjoin @t279 @t618))) % 1.12/1.35 (step @p3528 :rule refl :args ((tptp.setadjoin @t293 tptp.emptyset))) % 1.12/1.35 (step @p3529 :rule cong :premises (@p770 @p286) :args (@t1669)) % 1.12/1.35 (step @p3530 :rule trans :premises (@p3529 @p3528)) % 1.12/1.35 (step @p3531 :rule cong :premises (@p1207 @p3530) :args (@t1670)) % 1.12/1.35 (step @p3532 :rule trans :premises (@p3531 @p3527)) % 1.12/1.35 (step @p3533 :rule ho_cong :premises (@p3492 @p1207)) % 1.12/1.35 (step @p3534 :rule ho_cong :premises (@p3533 @p3530)) % 1.12/1.35 (step @p3535 :rule cong :premises (@p3534 @p3532) :args ((= (_ @t3193 @t1669) @t1670))) % 1.12/1.35 (step @p3536 :rule symm :premises (@p3535)) % 1.12/1.35 (step @p3537 :rule refl :args (@t620)) % 1.12/1.35 (step @p3538 :rule eq_resolve :premises (@p3537 @p3536)) % 1.12/1.35 (step @p3539 :rule ho_cong :premises (@p3492 @p770)) % 1.12/1.35 (step @p3540 :rule ho_cong :premises (@p3539 @p286)) % 1.12/1.35 (step @p3541 :rule cong :premises (@p3540 @p3530) :args ((= (_ (_ tptp.setadjoin @t1668) tptp.emptyset) @t1669))) % 1.12/1.35 (step @p3542 :rule symm :premises (@p3541)) % 1.12/1.35 (step @p3543 :rule refl :args (@t618)) % 1.12/1.35 (step @p3544 :rule eq_resolve :premises (@p3543 @p3542)) % 1.12/1.35 (step @p3545 :rule ho_cong :premises (@p3492 @p792)) % 1.12/1.35 (step @p3546 :rule ho_cong :premises (@p3545 @p286)) % 1.12/1.35 (step @p3547 :rule trans :premises (@p3546 @p3544)) % 1.12/1.35 (step @p3548 :rule ho_cong :premises (@p3492 @p1211)) % 1.12/1.35 (step @p3549 :rule ho_cong :premises (@p3548 @p3547)) % 1.12/1.35 (step @p3550 :rule trans :premises (@p3549 @p3538)) % 1.12/1.35 (step @p3551 :rule cong :premises (@p3550 @p3526) :args (@t775)) % 1.12/1.35 (step @p3552 :rule cong :premises (@p3551) :args (@t3194)) % 1.12/1.35 (step @p3553 :rule nary_cong :premises (@p3552 @p3463) :args (@t3195)) % 1.12/1.35 (step @p3554 :rule cong :premises (@p3553) :args ((forall @t776 @t3195))) % 1.12/1.35 (step @p3555 :rule bool-impl-elim :args (@t775 @t790)) % 1.12/1.35 (step @p3556 :rule cong :premises (@p3555) :args (@t797)) % 1.12/1.35 (step @p3557 :rule trans :premises (@p3556 @p3554)) % 1.12/1.35 (step @p3558 :rule refl :args (tptp.setukpairinjR2)) % 1.12/1.35 (step @p3559 :rule cong :premises (@p3558 @p3557) :args (@t798)) % 1.12/1.35 (step @p3560 :rule eq_resolve :premises (@p170 @p3559)) % 1.12/1.35 (step @p3561 :rule cong :premises (@p3560 @p3479) :args (@t3196)) % 1.12/1.35 (step @p3562 :rule cong :premises (@p792 @p3523) :args (@t794)) % 1.12/1.35 (step @p3563 :rule cong :premises (@p3562) :args (@t3197)) % 1.12/1.35 (step @p3564 :rule nary_cong :premises (@p3563 @p2498) :args (@t3198)) % 1.12/1.35 (step @p3565 :rule cong :premises (@p3564) :args ((forall @t297 @t3198))) % 1.12/1.35 (step @p3566 :rule bool-impl-elim :args (@t794 @t129)) % 1.12/1.35 (step @p3567 :rule cong :premises (@p3566) :args (@t795)) % 1.12/1.35 (step @p3568 :rule trans :premises (@p3567 @p3565)) % 1.12/1.35 (step @p3569 :rule refl :args (tptp.upairequniteq)) % 1.12/1.35 (step @p3570 :rule cong :premises (@p3569 @p3568) :args (@t796)) % 1.12/1.35 (step @p3571 :rule eq_resolve :premises (@p169 @p3570)) % 1.12/1.35 (step @p3572 :rule cong :premises (@p3571 @p3561) :args (@t3199)) % 1.12/1.35 (step @p3573 :rule aci_norm :args ((= (or @t1674 false @t790) @t1675))) % 1.12/1.35 (step @p3574 :rule refl :args (@t790)) % 1.12/1.35 (step @p3575 :rule eq-refl :args (@t383)) % 1.12/1.35 (step @p3576 :rule cong :premises (@p3575) :args (@t3200)) % 1.12/1.35 (step @p3577 :rule trans :premises (@p3576 @p903)) % 1.12/1.35 (step @p3578 :rule refl :args (@t1674)) % 1.12/1.35 (step @p3579 :rule nary_cong :premises (@p3578 @p3577 @p3574) :args (@t3201)) % 1.12/1.35 (step @p3580 :rule trans :premises (@p3579 @p3573)) % 1.12/1.35 (step @p3581 :rule cong :premises (@p3580) :args ((forall @t1676 @t3201))) % 1.12/1.35 (step @p3582 :rule quant-var-elim-eq :args ((= (forall @t1064 @t3203) @t3201))) % 1.12/1.35 (step @p3583 :rule aci_norm :args ((= @t3204 @t3203))) % 1.12/1.35 (step @p3584 :rule cong :premises (@p3583) :args (@t3205)) % 1.12/1.35 (step @p3585 :rule trans :premises (@p3584 @p3582)) % 1.12/1.35 (step @p3586 :rule cong :premises (@p3585) :args (@t3206)) % 1.12/1.35 (step @p3587 :rule quant-merge-prenex :args ((= @t3206 @t3207))) % 1.12/1.35 (step @p3588 :rule symm :premises (@p3587)) % 1.12/1.35 (step @p3589 :rule quant_var_reordering :args ((= (forall @t776 @t3204) @t3207))) % 1.12/1.35 (step @p3590 :rule trans :premises (@p3589 @p3588 @p3586)) % 1.12/1.35 (step @p3591 :rule trans :premises (@p3590 @p3581)) % 1.12/1.35 (step @p3592 :rule refl :args (@t3202)) % 1.12/1.35 (step @p3593 :rule nary_cong :premises (@p3552 @p3592 @p3463) :args (@t3208)) % 1.12/1.35 (step @p3594 :rule cong :premises (@p3593) :args ((forall @t776 @t3208))) % 1.12/1.35 (step @p3595 :rule trans :premises (@p3594 @p3591)) % 1.12/1.35 (step @p3596 :rule aci_norm :args ((= (or @t3194 (or @t3202 @t790)) @t3208))) % 1.12/1.35 (step @p3597 :rule bool-impl-elim :args (@t387 @t790)) % 1.12/1.35 (step @p3598 :rule refl :args (@t3194)) % 1.12/1.35 (step @p3599 :rule nary_cong :premises (@p3598 @p3597) :args ((or @t3194 @t791))) % 1.12/1.35 (step @p3600 :rule trans :premises (@p3599 @p3596)) % 1.12/1.35 (step @p3601 :rule bool-impl-elim :args (@t775 @t791)) % 1.12/1.35 (step @p3602 :rule trans :premises (@p3601 @p3600)) % 1.12/1.35 (step @p3603 :rule cong :premises (@p3602) :args (@t792)) % 1.12/1.35 (step @p3604 :rule trans :premises (@p3603 @p3595)) % 1.12/1.35 (step @p3605 :rule refl :args (tptp.setukpairinjR1)) % 1.12/1.35 (step @p3606 :rule cong :premises (@p3605 @p3604) :args (@t793)) % 1.12/1.35 (step @p3607 :rule eq_resolve :premises (@p168 @p3606)) % 1.12/1.35 (step @p3608 :rule cong :premises (@p3607 @p3572) :args (@t3209)) % 1.12/1.35 (step @p3609 :rule aci_norm :args ((= (or false @t1679) @t1679))) % 1.12/1.35 (step @p3610 :rule refl :args (@t1679)) % 1.12/1.35 (step @p3611 :rule eq-refl :args (@t19)) % 1.12/1.35 (step @p3612 :rule cong :premises (@p3611) :args (@t3210)) % 1.12/1.35 (step @p3613 :rule trans :premises (@p3612 @p903)) % 1.12/1.35 (step @p3614 :rule nary_cong :premises (@p3613 @p3610) :args (@t3211)) % 1.12/1.35 (step @p3615 :rule trans :premises (@p3614 @p3609)) % 1.12/1.35 (step @p3616 :rule cong :premises (@p3615) :args ((forall @t70 @t3211))) % 1.12/1.35 (step @p3617 :rule quant-var-elim-eq :args ((= (forall @t9 @t3214) @t3211))) % 1.12/1.35 (step @p3618 :rule aci_norm :args ((= @t3215 @t3214))) % 1.12/1.35 (step @p3619 :rule cong :premises (@p3618) :args (@t3216)) % 1.12/1.35 (step @p3620 :rule trans :premises (@p3619 @p3617)) % 1.12/1.35 (step @p3621 :rule cong :premises (@p3620) :args (@t3217)) % 1.12/1.35 (step @p3622 :rule quant-merge-prenex :args ((= @t3217 @t3219))) % 1.12/1.35 (step @p3623 :rule symm :premises (@p3622)) % 1.12/1.35 (step @p3624 :rule quant_var_reordering :args ((= (forall @t135 @t3215) @t3219))) % 1.12/1.35 (step @p3625 :rule trans :premises (@p3624 @p3623 @p3621)) % 1.12/1.35 (step @p3626 :rule trans :premises (@p3625 @p3616)) % 1.12/1.35 (step @p3627 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.12/1.35 (step @p3628 :rule cong :premises (@p1207 @p286) :args (@t3212)) % 1.12/1.35 (step @p3629 :rule trans :premises (@p3628 @p3627)) % 1.12/1.35 (step @p3630 :rule ho_cong :premises (@p3533 @p286)) % 1.12/1.35 (step @p3631 :rule cong :premises (@p3630 @p3629) :args ((= (_ @t3193 tptp.emptyset) @t3212))) % 1.12/1.35 (step @p3632 :rule symm :premises (@p3631)) % 1.12/1.35 (step @p3633 :rule refl :args (@t786)) % 1.12/1.35 (step @p3634 :rule eq_resolve :premises (@p3633 @p3632)) % 1.12/1.35 (step @p3635 :rule ho_cong :premises (@p3548 @p286)) % 1.12/1.35 (step @p3636 :rule trans :premises (@p3635 @p3634)) % 1.12/1.35 (step @p3637 :rule cong :premises (@p3550 @p3636) :args (@t787)) % 1.12/1.35 (step @p3638 :rule refl :args (@t282)) % 1.12/1.35 (step @p3639 :rule nary_cong :premises (@p3638 @p3637) :args (@t3220)) % 1.12/1.35 (step @p3640 :rule cong :premises (@p3639) :args ((forall @t135 @t3220))) % 1.12/1.35 (step @p3641 :rule trans :premises (@p3640 @p3626)) % 1.12/1.35 (step @p3642 :rule bool-impl-elim :args (@t129 @t787)) % 1.12/1.35 (step @p3643 :rule cong :premises (@p3642) :args (@t788)) % 1.12/1.35 (step @p3644 :rule trans :premises (@p3643 @p3641)) % 1.12/1.35 (step @p3645 :rule refl :args (tptp.setukpairinjR12)) % 1.12/1.35 (step @p3646 :rule cong :premises (@p3645 @p3644) :args (@t789)) % 1.12/1.35 (step @p3647 :rule eq_resolve :premises (@p167 @p3646)) % 1.12/1.35 (step @p3648 :rule cong :premises (@p3647 @p3608) :args (@t3221)) % 1.12/1.35 (step @p3649 :rule aci_norm :args ((= (or false @t1681) @t1681))) % 1.12/1.35 (step @p3650 :rule refl :args (@t1681)) % 1.12/1.35 (step @p3651 :rule nary_cong :premises (@p3613 @p3650) :args (@t3222)) % 1.12/1.35 (step @p3652 :rule trans :premises (@p3651 @p3649)) % 1.12/1.35 (step @p3653 :rule cong :premises (@p3652) :args ((forall @t70 @t3222))) % 1.12/1.35 (step @p3654 :rule quant-var-elim-eq :args ((= (forall @t9 @t3224) @t3222))) % 1.12/1.35 (step @p3655 :rule aci_norm :args ((= @t3225 @t3224))) % 1.12/1.35 (step @p3656 :rule cong :premises (@p3655) :args (@t3226)) % 1.12/1.35 (step @p3657 :rule trans :premises (@p3656 @p3654)) % 1.12/1.35 (step @p3658 :rule cong :premises (@p3657) :args (@t3227)) % 1.12/1.35 (step @p3659 :rule quant-merge-prenex :args ((= @t3227 @t3228))) % 1.12/1.35 (step @p3660 :rule symm :premises (@p3659)) % 1.12/1.35 (step @p3661 :rule quant_var_reordering :args ((= (forall @t135 @t3225) @t3228))) % 1.12/1.35 (step @p3662 :rule trans :premises (@p3661 @p3660 @p3658)) % 1.12/1.35 (step @p3663 :rule trans :premises (@p3662 @p3653)) % 1.12/1.35 (step @p3664 :rule cong :premises (@p1211 @p792) :args (@t3229)) % 1.12/1.35 (step @p3665 :rule nary_cong :premises (@p3638 @p3664) :args (@t3230)) % 1.12/1.35 (step @p3666 :rule cong :premises (@p3665) :args ((forall @t135 @t3230))) % 1.12/1.35 (step @p3667 :rule trans :premises (@p3666 @p3663)) % 1.12/1.35 (step @p3668 :rule bool-impl-elim :args (@t129 @t3229)) % 1.12/1.35 (step @p3669 :rule cong :premises (@p3668) :args ((forall @t135 (=> @t129 @t3229)))) % 1.12/1.35 (step @p3670 :rule trans :premises (@p3669 @p3667)) % 1.12/1.35 (step @p3671 :rule eq-symm :args (@t293 @t279)) % 1.12/1.35 (step @p3672 :rule refl :args (@t129)) % 1.12/1.35 (step @p3673 :rule cong :premises (@p3672 @p3671) :args (@t783)) % 1.12/1.35 (step @p3674 :rule cong :premises (@p3673) :args (@t784)) % 1.12/1.35 (step @p3675 :rule trans :premises (@p3674 @p3670)) % 1.12/1.35 (step @p3676 :rule refl :args (tptp.setukpairinjR11)) % 1.12/1.35 (step @p3677 :rule cong :premises (@p3676 @p3675) :args (@t785)) % 1.12/1.35 (step @p3678 :rule eq_resolve :premises (@p166 @p3677)) % 1.12/1.35 (step @p3679 :rule cong :premises (@p3678 @p3648) :args (@t3231)) % 1.12/1.35 (step @p3680 :rule refl :args (@t743)) % 1.12/1.35 (step @p3681 :rule nary_cong :premises (@p3470 @p3680) :args (@t3232)) % 1.12/1.35 (step @p3682 :rule cong :premises (@p3681) :args ((forall @t776 @t3232))) % 1.12/1.35 (step @p3683 :rule bool-impl-elim :args (@t780 @t743)) % 1.12/1.35 (step @p3684 :rule cong :premises (@p3683) :args (@t781)) % 1.12/1.35 (step @p3685 :rule trans :premises (@p3684 @p3682)) % 1.12/1.35 (step @p3686 :rule refl :args (tptp.setukpairinjL)) % 1.12/1.35 (step @p3687 :rule cong :premises (@p3686 @p3685) :args (@t782)) % 1.12/1.35 (step @p3688 :rule eq_resolve :premises (@p165 @p3687)) % 1.12/1.35 (step @p3689 :rule cong :premises (@p3688 @p3679) :args (@t3233)) % 1.12/1.35 (step @p3690 :rule nary_cong :premises (@p3552 @p3680) :args (@t3234)) % 1.12/1.35 (step @p3691 :rule cong :premises (@p3690) :args ((forall @t776 @t3234))) % 1.12/1.35 (step @p3692 :rule bool-impl-elim :args (@t775 @t743)) % 1.12/1.35 (step @p3693 :rule cong :premises (@p3692) :args (@t777)) % 1.12/1.35 (step @p3694 :rule trans :premises (@p3693 @p3691)) % 1.12/1.35 (step @p3695 :rule refl :args (tptp.setukpairinjL2)) % 1.12/1.35 (step @p3696 :rule cong :premises (@p3695 @p3694) :args (@t778)) % 1.12/1.35 (step @p3697 :rule eq_resolve :premises (@p164 @p3696)) % 1.12/1.35 (step @p3698 :rule cong :premises (@p3697 @p3689) :args (@t3235)) % 1.12/1.35 (step @p3699 :rule refl :args ((tptp.in @t767 @t2))) % 1.12/1.35 (step @p3700 :rule cong :premises (@p3175 @p1055) :args (@t1685)) % 1.12/1.35 (step @p3701 :rule trans :premises (@p3700 @p3699)) % 1.12/1.35 (step @p3702 :rule ho_cong :premises (@p774 @p3175)) % 1.12/1.35 (step @p3703 :rule ho_cong :premises (@p3702 @p1055)) % 1.12/1.35 (step @p3704 :rule cong :premises (@p3703 @p3701) :args ((= (_ (_ tptp.in @t1622) @t2) @t1685))) % 1.12/1.35 (step @p3705 :rule symm :premises (@p3704)) % 1.12/1.35 (step @p3706 :rule refl :args (@t768)) % 1.12/1.35 (step @p3707 :rule eq_resolve :premises (@p3706 @p3705)) % 1.12/1.35 (step @p3708 :rule ho_cong :premises (@p774 @p3192)) % 1.12/1.35 (step @p3709 :rule ho_cong :premises (@p3708 @p1055)) % 1.12/1.35 (step @p3710 :rule trans :premises (@p3709 @p3707)) % 1.12/1.35 (step @p3711 :rule nary_cong :premises (@p3209 @p3710) :args (@t3236)) % 1.12/1.35 (step @p3712 :rule cong :premises (@p3711) :args ((forall @t688 @t3236))) % 1.12/1.35 (step @p3713 :rule bool-impl-elim :args (@t686 @t768)) % 1.12/1.35 (step @p3714 :rule cong :premises (@p3713) :args (@t769)) % 1.12/1.35 (step @p3715 :rule trans :premises (@p3714 @p3712)) % 1.12/1.35 (step @p3716 :rule refl :args (tptp.cartprodfstin)) % 1.12/1.35 (step @p3717 :rule cong :premises (@p3716 @p3715) :args (@t770)) % 1.12/1.35 (step @p3718 :rule eq_resolve :premises (@p163 @p3717)) % 1.12/1.35 (step @p3719 :rule cong :premises (@p3718 @p3698) :args (@t3237)) % 1.12/1.35 (step @p3720 :rule cong :premises (@p3299) :args ((forall @t135 @t3172))) % 1.12/1.35 (step @p3721 :rule cong :premises (@p3305) :args (@t765)) % 1.12/1.35 (step @p3722 :rule trans :premises (@p3721 @p3720)) % 1.12/1.35 (step @p3723 :rule refl :args (tptp.kfstpairEq)) % 1.12/1.35 (step @p3724 :rule cong :premises (@p3723 @p3722) :args (@t766)) % 1.12/1.35 (step @p3725 :rule eq_resolve :premises (@p162 @p3724)) % 1.12/1.35 (step @p3726 :rule cong :premises (@p3725 @p3719) :args (@t3238)) % 1.12/1.35 (step @p3727 :rule refl :args ((tptp.in @t758 @t694))) % 1.12/1.35 (step @p3728 :rule refl :args (@t694)) % 1.12/1.35 (step @p3729 :rule cong :premises (@p1006 @p3728) :args (@t1690)) % 1.12/1.35 (step @p3730 :rule trans :premises (@p3729 @p3727)) % 1.12/1.35 (step @p3731 :rule ho_cong :premises (@p774 @p1006)) % 1.12/1.35 (step @p3732 :rule ho_cong :premises (@p3731 @p3728)) % 1.12/1.35 (step @p3733 :rule cong :premises (@p3732 @p3730) :args ((= (_ (_ tptp.in @t1398) @t694) @t1690))) % 1.12/1.35 (step @p3734 :rule symm :premises (@p3733)) % 1.12/1.35 (step @p3735 :rule refl :args (@t759)) % 1.12/1.35 (step @p3736 :rule eq_resolve :premises (@p3735 @p3734)) % 1.12/1.35 (step @p3737 :rule ho_cong :premises (@p774 @p1010)) % 1.12/1.35 (step @p3738 :rule ho_cong :premises (@p3737 @p3728)) % 1.12/1.35 (step @p3739 :rule trans :premises (@p3738 @p3736)) % 1.12/1.35 (step @p3740 :rule nary_cong :premises (@p999 @p3739) :args (@t3239)) % 1.12/1.35 (step @p3741 :rule cong :premises (@p3740) :args ((forall @t699 @t3239))) % 1.12/1.35 (step @p3742 :rule bool-impl-elim :args (@t760 @t759)) % 1.12/1.35 (step @p3743 :rule cong :premises (@p3742) :args (@t761)) % 1.12/1.35 (step @p3744 :rule trans :premises (@p3743 @p3741)) % 1.12/1.35 (step @p3745 :rule refl :args (tptp.theprop)) % 1.12/1.35 (step @p3746 :rule cong :premises (@p3745 @p3744) :args (@t762)) % 1.12/1.35 (step @p3747 :rule eq_resolve :premises (@p161 @p3746)) % 1.12/1.35 (step @p3748 :rule cong :premises (@p3747 @p3726) :args (@t3240)) % 1.12/1.35 (step @p3749 :rule refl :args ((tptp.singleton @t753))) % 1.12/1.35 (step @p3750 :rule refl :args ((tptp.dsetconstr @t751 @t750))) % 1.12/1.35 (step @p3751 :rule refl :args ((tptp.in @t279 @t383))) % 1.12/1.35 (step @p3752 :rule cong :premises (@p1207 @p3196) :args (@t1692)) % 1.12/1.35 (step @p3753 :rule trans :premises (@p3752 @p3751)) % 1.12/1.35 (step @p3754 :rule cong :premises (@p3753) :args (@t1693)) % 1.12/1.35 (step @p3755 :rule cong :premises (@p3419 @p3754) :args (@t1694)) % 1.12/1.35 (step @p3756 :rule trans :premises (@p3755 @p3750)) % 1.12/1.35 (step @p3757 :rule cong :premises (@p3756) :args (@t1695)) % 1.12/1.35 (step @p3758 :rule trans :premises (@p3757 @p3749)) % 1.12/1.35 (step @p3759 :rule ho_cong :premises (@p1110 @p3756)) % 1.12/1.35 (step @p3760 :rule cong :premises (@p3759 @p3758) :args ((= (_ tptp.singleton @t1694) @t1695))) % 1.12/1.35 (step @p3761 :rule symm :premises (@p3760)) % 1.12/1.35 (step @p3762 :rule refl :args (@t754)) % 1.12/1.35 (step @p3763 :rule eq_resolve :premises (@p3762 @p3761)) % 1.12/1.35 (step @p3764 :rule ho_cong :premises (@p3430 @p3754)) % 1.12/1.35 (step @p3765 :rule cong :premises (@p3764 @p3756) :args ((= (_ @t3187 @t1693) @t1694))) % 1.12/1.35 (step @p3766 :rule symm :premises (@p3765)) % 1.12/1.35 (step @p3767 :rule refl :args (@t753)) % 1.12/1.35 (step @p3768 :rule eq_resolve :premises (@p3767 @p3766)) % 1.12/1.35 (step @p3769 :rule ho_cong :premises (@p774 @p1207)) % 1.12/1.35 (step @p3770 :rule ho_cong :premises (@p3769 @p3196)) % 1.12/1.35 (step @p3771 :rule cong :premises (@p3770 @p3753) :args ((= (_ @t3241 @t383) @t1692))) % 1.12/1.35 (step @p3772 :rule symm :premises (@p3771)) % 1.12/1.35 (step @p3773 :rule refl :args (@t749)) % 1.12/1.35 (step @p3774 :rule eq_resolve :premises (@p3773 @p3772)) % 1.12/1.35 (step @p3775 :rule ho_cong :premises (@p774 @p1211)) % 1.12/1.35 (step @p3776 :rule ho_cong :premises (@p3775 @p3196)) % 1.12/1.35 (step @p3777 :rule trans :premises (@p3776 @p3774)) % 1.12/1.35 (step @p3778 :rule cong :premises (@p3777) :args (@t750)) % 1.12/1.35 (step @p3779 :rule ho_cong :premises (@p3449 @p3778)) % 1.12/1.35 (step @p3780 :rule trans :premises (@p3779 @p3768)) % 1.12/1.35 (step @p3781 :rule ho_cong :premises (@p1110 @p3780)) % 1.12/1.35 (step @p3782 :rule trans :premises (@p3781 @p3763)) % 1.12/1.35 (step @p3783 :rule nary_cong :premises (@p3391 @p3782) :args (@t3242)) % 1.12/1.35 (step @p3784 :rule cong :premises (@p3783) :args ((forall @t755 @t3242))) % 1.12/1.35 (step @p3785 :rule bool-impl-elim :args (@t691 @t754)) % 1.12/1.35 (step @p3786 :rule cong :premises (@p3785) :args (@t756)) % 1.12/1.35 (step @p3787 :rule trans :premises (@p3786 @p3784)) % 1.12/1.35 (step @p3788 :rule refl :args (tptp.kfstsingleton)) % 1.12/1.35 (step @p3789 :rule cong :premises (@p3788 @p3787) :args (@t757)) % 1.12/1.35 (step @p3790 :rule eq_resolve :premises (@p160 @p3789)) % 1.12/1.35 (step @p3791 :rule cong :premises (@p3790 @p3748) :args (@t3243)) % 1.12/1.35 (step @p3792 :rule refl :args ((tptp.in @t745 @t620))) % 1.12/1.35 (step @p3793 :rule cong :premises (@p3489 @p3532) :args (@t1697)) % 1.12/1.35 (step @p3794 :rule trans :premises (@p3793 @p3792)) % 1.12/1.35 (step @p3795 :rule ho_cong :premises (@p774 @p3489)) % 1.12/1.35 (step @p3796 :rule ho_cong :premises (@p3795 @p3532)) % 1.12/1.35 (step @p3797 :rule cong :premises (@p3796 @p3794) :args ((= (_ (_ tptp.in @t1665) @t1670) @t1697))) % 1.12/1.35 (step @p3798 :rule symm :premises (@p3797)) % 1.12/1.35 (step @p3799 :rule refl :args (@t746)) % 1.12/1.35 (step @p3800 :rule eq_resolve :premises (@p3799 @p3798)) % 1.12/1.35 (step @p3801 :rule ho_cong :premises (@p774 @p3523)) % 1.12/1.35 (step @p3802 :rule ho_cong :premises (@p3801 @p3550)) % 1.12/1.35 (step @p3803 :rule trans :premises (@p3802 @p3800)) % 1.12/1.35 (step @p3804 :rule cong :premises (@p3803) :args (@t3244)) % 1.12/1.35 (step @p3805 :rule nary_cong :premises (@p3804 @p3680) :args (@t3245)) % 1.12/1.35 (step @p3806 :rule cong :premises (@p3805) :args ((forall @t297 @t3245))) % 1.12/1.35 (step @p3807 :rule bool-impl-elim :args (@t746 @t743)) % 1.12/1.35 (step @p3808 :rule cong :premises (@p3807) :args (@t747)) % 1.12/1.35 (step @p3809 :rule trans :premises (@p3808 @p3806)) % 1.12/1.35 (step @p3810 :rule refl :args (tptp.setukpairinjL1)) % 1.12/1.35 (step @p3811 :rule cong :premises (@p3810 @p3809) :args (@t748)) % 1.12/1.35 (step @p3812 :rule eq_resolve :premises (@p159 @p3811)) % 1.12/1.35 (step @p3813 :rule cong :premises (@p3812 @p3791) :args (@t3246)) % 1.12/1.35 (step @p3814 :rule cong :premises (@p790 @p1211) :args (@t3247)) % 1.12/1.35 (step @p3815 :rule cong :premises (@p3814) :args (@t3248)) % 1.12/1.35 (step @p3816 :rule nary_cong :premises (@p3815 @p2498) :args (@t3249)) % 1.12/1.35 (step @p3817 :rule cong :premises (@p3816) :args ((forall @t135 @t3249))) % 1.12/1.35 (step @p3818 :rule bool-impl-elim :args (@t3247 @t129)) % 1.12/1.35 (step @p3819 :rule cong :premises (@p3818) :args ((forall @t135 (=> @t3247 @t129)))) % 1.12/1.35 (step @p3820 :rule trans :premises (@p3819 @p3817)) % 1.12/1.35 (step @p3821 :rule eq-symm :args (@t279 @t275)) % 1.12/1.35 (step @p3822 :rule cong :premises (@p3821 @p3672) :args (@t740)) % 1.12/1.35 (step @p3823 :rule cong :premises (@p3822) :args (@t741)) % 1.12/1.35 (step @p3824 :rule trans :premises (@p3823 @p3820)) % 1.12/1.35 (step @p3825 :rule refl :args (tptp.singletonsuniq)) % 1.12/1.35 (step @p3826 :rule cong :premises (@p3825 @p3824) :args (@t742)) % 1.12/1.35 (step @p3827 :rule eq_resolve :premises (@p158 @p3826)) % 1.12/1.35 (step @p3828 :rule cong :premises (@p3827 @p3813) :args (@t3250)) % 1.12/1.35 (step @p3829 :rule aci_norm :args ((= @t3252 @t1713))) % 1.12/1.35 (step @p3830 :rule cong :premises (@p3829) :args (@t3253)) % 1.12/1.35 (step @p3831 :rule quant-merge-prenex :args ((= (forall @t311 @t3255) @t3253))) % 1.12/1.35 (step @p3832 :rule refl :args (@t1546)) % 1.12/1.35 (step @p3833 :rule alpha_equiv :args (@t3256 (@list @t1700) @t2487)) % 1.12/1.35 (step @p3834 :rule refl :args (@t1712)) % 1.12/1.35 (step @p3835 :rule nary_cong :premises (@p3834 @p3833 @p3832) :args (@t3257)) % 1.12/1.35 (step @p3836 :rule quant-miniscope-or :args ((= @t3255 @t3257))) % 1.12/1.35 (step @p3837 :rule trans :premises (@p3836 @p3835)) % 1.12/1.35 (step @p3838 :rule symm :premises (@p3837)) % 1.12/1.35 (step @p3839 :rule cong :premises (@p3838) :args ((forall @t311 (or @t1712 @t1723 @t1546)))) % 1.12/1.35 (step @p3840 :rule trans :premises (@p3839 @p3831)) % 1.12/1.35 (step @p3841 :rule trans :premises (@p3840 @p3830)) % 1.12/1.35 (step @p3842 :rule refl :args (@t1723)) % 1.12/1.35 (step @p3843 :rule refl :args (@t1712)) % 1.12/1.35 (step @p3844 :rule nary_cong :premises (@p3843 @p3842 @p2435) :args (@t3258)) % 1.12/1.35 (step @p3845 :rule cong :premises (@p3844) :args ((forall @t311 @t3258))) % 1.12/1.35 (step @p3846 :rule trans :premises (@p3845 @p3841)) % 1.12/1.35 (step @p3847 :rule refl :args (@t1723)) % 1.12/1.35 (step @p3848 :rule nary_cong :premises (@p3834 @p3847 @p2468) :args (@t3259)) % 1.12/1.35 (step @p3849 :rule cong :premises (@p3848) :args ((forall @t311 @t3259))) % 1.12/1.35 (step @p3850 :rule trans :premises (@p3849 @p3846)) % 1.12/1.35 (step @p3851 :rule aci_norm :args ((= (or @t1712 (or @t1723 @t715)) @t3259))) % 1.12/1.35 (step @p3852 :rule bool-double-not-elim :args (@t1723)) % 1.12/1.35 (step @p3853 :rule nary_cong :premises (@p3852 @p2452) :args ((or @t3260 @t715))) % 1.12/1.35 (step @p3854 :rule bool-impl-elim :args (@t1724 @t715)) % 1.12/1.35 (step @p3855 :rule trans :premises (@p3854 @p3853)) % 1.12/1.35 (step @p3856 :rule nary_cong :premises (@p3834 @p3855) :args ((or @t1712 @t3261))) % 1.12/1.35 (step @p3857 :rule trans :premises (@p3856 @p3851)) % 1.12/1.35 (step @p3858 :rule bool-impl-elim :args (@t1711 @t3261)) % 1.12/1.35 (step @p3859 :rule trans :premises (@p3858 @p3857)) % 1.12/1.35 (step @p3860 :rule cong :premises (@p3859) :args ((forall @t311 (=> @t1711 @t3261)))) % 1.12/1.35 (step @p3861 :rule trans :premises (@p3860 @p3850)) % 1.12/1.35 (step @p3862 :rule nary_cong :premises (@p758 @p2489) :args (@t3262)) % 1.12/1.35 (step @p3863 :rule cong :premises (@p3862) :args ((forall @t9 @t3262))) % 1.12/1.35 (step @p3864 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.12/1.35 (step @p3865 :rule cong :premises (@p3864) :args (@t3263)) % 1.12/1.35 (step @p3866 :rule trans :premises (@p3865 @p3863)) % 1.12/1.35 (step @p3867 :rule cong :premises (@p3866) :args (@t3264)) % 1.12/1.35 (step @p3868 :rule exists-elim :args ((= @t309 @t3264))) % 1.12/1.35 (step @p3869 :rule trans :premises (@p3868 @p3867)) % 1.12/1.35 (step @p3870 :rule cong :premises (@p3869 @p2540) :args (@t3265)) % 1.12/1.35 (step @p3871 :rule cong :premises (@p2530 @p3870) :args (@t3266)) % 1.12/1.35 (step @p3872 :rule cong :premises (@p3871) :args (@t3267)) % 1.12/1.35 (step @p3873 :rule trans :premises (@p3872 @p3861)) % 1.12/1.35 (step @p3874 :rule refl :args (tptp.ex1I2)) % 1.12/1.35 (step @p3875 :rule cong :premises (@p3874 @p3873) :args ((= tptp.ex1I2 @t3267))) % 1.12/1.35 (step @p3876 :rule refl :args (@t309)) % 1.12/1.35 (step @p3877 :rule cong :premises (@p3876 @p2548) :args (@t736)) % 1.12/1.35 (step @p3878 :rule cong :premises (@p2546 @p3877) :args (@t737)) % 1.12/1.35 (step @p3879 :rule cong :premises (@p3878) :args (@t738)) % 1.12/1.35 (step @p3880 :rule cong :premises (@p3874 @p3879) :args (@t739)) % 1.12/1.35 (step @p3881 :rule trans :premises (@p3880 @p3875)) % 1.12/1.35 (step @p3882 :rule eq_resolve :premises (@p157 @p3881)) % 1.12/1.35 (step @p3883 :rule cong :premises (@p3882 @p3828) :args (@t3268)) % 1.12/1.35 (step @p3884 :rule lambda-elim :args ((= @t3272 @t143))) % 1.12/1.35 (step @p3885 :rule cong :premises (@p1082 @p3884) :args (@t3273)) % 1.12/1.35 (step @p3886 :rule cong :premises (@p3885) :args (@t3274)) % 1.12/1.35 (step @p3887 :rule refl :args (@t1721)) % 1.12/1.35 (step @p3888 :rule refl :args (@t1708)) % 1.12/1.35 (step @p3889 :rule nary_cong :premises (@p904 @p3888 @p3887 @p3886) :args (@t3275)) % 1.12/1.35 (step @p3890 :rule cong :premises (@p3889) :args ((forall @t159 @t3275))) % 1.12/1.35 (step @p3891 :rule refl :args ((tptp.singleton @t3278))) % 1.12/1.35 (step @p3892 :rule refl :args ((tptp.dsetconstr @t2 @t3277))) % 1.12/1.35 (step @p3893 :rule refl :args (@t3270)) % 1.12/1.35 (step @p3894 :rule cong :premises (@p3893) :args (@t3272)) % 1.12/1.35 (step @p3895 :rule cong :premises (@p1055 @p3894) :args (@t3273)) % 1.12/1.35 (step @p3896 :rule trans :premises (@p3895 @p3892)) % 1.12/1.35 (step @p3897 :rule cong :premises (@p3896) :args (@t3274)) % 1.12/1.35 (step @p3898 :rule trans :premises (@p3897 @p3891)) % 1.12/1.35 (step @p3899 :rule ho_cong :premises (@p1110 @p3896)) % 1.12/1.35 (step @p3900 :rule cong :premises (@p3899 @p3898) :args ((= (_ tptp.singleton @t3273) @t3274))) % 1.12/1.35 (step @p3901 :rule symm :premises (@p3900)) % 1.12/1.35 (step @p3902 :rule refl :args (@t3279)) % 1.12/1.35 (step @p3903 :rule eq_resolve :premises (@p3902 @p3901)) % 1.12/1.35 (step @p3904 :rule ho_cong :premises (@p2454 @p3894)) % 1.12/1.35 (step @p3905 :rule cong :premises (@p3904 @p3896) :args ((= (_ @t155 @t3272) @t3273))) % 1.12/1.35 (step @p3906 :rule symm :premises (@p3905)) % 1.12/1.35 (step @p3907 :rule refl :args (@t3278)) % 1.12/1.35 (step @p3908 :rule eq_resolve :premises (@p3907 @p3906)) % 1.12/1.35 (step @p3909 :rule refl :args (@t3276)) % 1.12/1.35 (step @p3910 :rule cong :premises (@p3909 @p3893) :args ((= @t3276 @t3270))) % 1.12/1.35 (step @p3911 :rule symm :premises (@p3910)) % 1.12/1.35 (step @p3912 :rule eq_resolve :premises (@p3909 @p3911)) % 1.12/1.35 (step @p3913 :rule cong :premises (@p3912) :args (@t3277)) % 1.12/1.35 (step @p3914 :rule ho_cong :premises (@p2454 @p3913)) % 1.12/1.35 (step @p3915 :rule trans :premises (@p3914 @p3908)) % 1.12/1.35 (step @p3916 :rule ho_cong :premises (@p1110 @p3915)) % 1.12/1.35 (step @p3917 :rule trans :premises (@p3916 @p3903)) % 1.12/1.35 (step @p3918 :rule refl :args (@t1721)) % 1.12/1.35 (step @p3919 :rule nary_cong :premises (@p758 @p2489 @p3918 @p3917) :args (@t3280)) % 1.12/1.35 (step @p3920 :rule cong :premises (@p3919) :args ((forall @t159 @t3280))) % 1.12/1.35 (step @p3921 :rule trans :premises (@p3920 @p3890)) % 1.12/1.35 (step @p3922 :rule aci_norm :args ((= (or @t197 @t3281) @t3280))) % 1.12/1.35 (step @p3923 :rule aci_norm :args ((= (or @t317 (or @t1721 @t3279)) @t3281))) % 1.12/1.35 (step @p3924 :rule bool-impl-elim :args (@t1720 @t3279)) % 1.12/1.35 (step @p3925 :rule nary_cong :premises (@p2517 @p3924) :args ((or @t317 @t3282))) % 1.12/1.35 (step @p3926 :rule trans :premises (@p3925 @p3923)) % 1.12/1.35 (step @p3927 :rule bool-impl-elim :args (@t144 @t3282)) % 1.12/1.35 (step @p3928 :rule trans :premises (@p3927 @p3926)) % 1.12/1.35 (step @p3929 :rule refl :args (@t197)) % 1.12/1.35 (step @p3930 :rule nary_cong :premises (@p3929 @p3928) :args ((or @t197 @t3283))) % 1.12/1.35 (step @p3931 :rule trans :premises (@p3930 @p3922)) % 1.12/1.35 (step @p3932 :rule bool-impl-elim :args (@t7 @t3283)) % 1.12/1.35 (step @p3933 :rule trans :premises (@p3932 @p3931)) % 1.12/1.35 (step @p3934 :rule cong :premises (@p3933) :args ((forall @t159 (=> @t7 @t3283)))) % 1.12/1.35 (step @p3935 :rule trans :premises (@p3934 @p3921)) % 1.12/1.35 (step @p3936 :rule alpha_equiv :args (@t145 @t2487 (@list @t3269))) % 1.12/1.35 (step @p3937 :rule ho_cong :premises (@p2454 @p3936)) % 1.12/1.35 (step @p3938 :rule ho_cong :premises (@p1110 @p3937)) % 1.12/1.35 (step @p3939 :rule cong :premises (@p2488 @p3938) :args (@t3284)) % 1.12/1.35 (step @p3940 :rule cong :premises (@p2460 @p3939) :args (@t3285)) % 1.12/1.35 (step @p3941 :rule cong :premises (@p754 @p3940) :args (@t3286)) % 1.12/1.35 (step @p3942 :rule cong :premises (@p3941) :args ((forall @t159 @t3286))) % 1.12/1.35 (step @p3943 :rule trans :premises (@p3942 @p3935)) % 1.12/1.35 (step @p3944 :rule beta-reduce :args ((= @t3287 @t144))) % 1.12/1.35 (step @p3945 :rule cong :premises (@p3944) :args (@t3288)) % 1.12/1.35 (step @p3946 :rule ho_cong :premises (@p1133 @p3945)) % 1.12/1.35 (step @p3947 :rule ho_cong :premises (@p1135 @p3946)) % 1.12/1.35 (step @p3948 :rule beta-reduce :args ((= (_ @t2982 @t154) (_ tptp.singleton (_ @t155 @t3288))))) % 1.12/1.35 (step @p3949 :rule trans :premises (@p3948 @p3947)) % 1.12/1.35 (step @p3950 :rule refl :args (@t154)) % 1.12/1.35 (step @p3951 :rule ho_cong :premises (@p2538 @p3950)) % 1.12/1.35 (step @p3952 :rule trans :premises (@p3951 @p3949)) % 1.12/1.35 (step @p3953 :rule aci_norm :args ((= (or @t2420 @t2979) @t2973))) % 1.12/1.35 (step @p3954 :rule nary_cong :premises (@p879 @p2516) :args ((or @t2420 @t166))) % 1.12/1.35 (step @p3955 :rule trans :premises (@p3954 @p3953)) % 1.12/1.35 (step @p3956 :rule bool-impl-elim :args (@t21 @t166)) % 1.12/1.35 (step @p3957 :rule trans :premises (@p3956 @p3955)) % 1.12/1.35 (step @p3958 :rule cong :premises (@p3957) :args ((forall @t70 (=> @t21 @t166)))) % 1.12/1.35 (step @p3959 :rule trans :premises (@p3958 @p2506)) % 1.12/1.35 (step @p3960 :rule eq-symm :args (@t19 @t4)) % 1.12/1.35 (step @p3961 :rule refl :args (@t153)) % 1.12/1.35 (step @p3962 :rule cong :premises (@p3961 @p3960) :args (@t728)) % 1.12/1.35 (step @p3963 :rule cong :premises (@p889 @p3962) :args (@t729)) % 1.12/1.35 (step @p3964 :rule cong :premises (@p3963) :args (@t730)) % 1.12/1.35 (step @p3965 :rule trans :premises (@p3964 @p3959)) % 1.12/1.35 (step @p3966 :rule cong :premises (@p3965 @p3952) :args (@t3289)) % 1.12/1.35 (step @p3967 :rule refl :args (@t144)) % 1.12/1.35 (step @p3968 :rule cong :premises (@p3967 @p3966) :args (@t3290)) % 1.12/1.35 (step @p3969 :rule cong :premises (@p811 @p3968) :args (@t3291)) % 1.12/1.35 (step @p3970 :rule cong :premises (@p3969) :args (@t3292)) % 1.12/1.35 (step @p3971 :rule trans :premises (@p3970 @p3943)) % 1.12/1.35 (step @p3972 :rule refl :args (tptp.ex1I)) % 1.12/1.35 (step @p3973 :rule cong :premises (@p3972 @p3971) :args ((= tptp.ex1I @t3292))) % 1.12/1.35 (step @p3974 :rule ho_cong :premises (@p2547 @p3950)) % 1.12/1.35 (step @p3975 :rule refl :args (@t730)) % 1.12/1.35 (step @p3976 :rule cong :premises (@p3975 @p3974) :args (@t731)) % 1.12/1.35 (step @p3977 :rule cong :premises (@p3967 @p3976) :args (@t732)) % 1.12/1.35 (step @p3978 :rule cong :premises (@p811 @p3977) :args (@t733)) % 1.12/1.35 (step @p3979 :rule cong :premises (@p3978) :args (@t734)) % 1.12/1.35 (step @p3980 :rule cong :premises (@p3972 @p3979) :args (@t735)) % 1.12/1.35 (step @p3981 :rule trans :premises (@p3980 @p3973)) % 1.12/1.35 (step @p3982 :rule eq_resolve :premises (@p156 @p3981)) % 1.12/1.35 (step @p3983 :rule cong :premises (@p3982 @p3883) :args (@t3293)) % 1.12/1.35 (step @p3984 :rule refl :args (@t1724)) % 1.12/1.35 (step @p3985 :rule nary_cong :premises (@p2436 @p3984) :args (@t3294)) % 1.12/1.35 (step @p3986 :rule cong :premises (@p3985) :args ((forall @t311 @t3294))) % 1.12/1.35 (step @p3987 :rule refl :args (@t1724)) % 1.12/1.35 (step @p3988 :rule nary_cong :premises (@p2469 @p3987) :args (@t3295)) % 1.12/1.35 (step @p3989 :rule cong :premises (@p3988) :args ((forall @t311 @t3295))) % 1.12/1.35 (step @p3990 :rule trans :premises (@p3989 @p3986)) % 1.12/1.35 (step @p3991 :rule bool-impl-elim :args (@t715 @t1724)) % 1.12/1.35 (step @p3992 :rule cong :premises (@p3991) :args ((forall @t311 (=> @t715 @t1724)))) % 1.12/1.35 (step @p3993 :rule trans :premises (@p3992 @p3990)) % 1.12/1.35 (step @p3994 :rule cong :premises (@p2540 @p3869) :args (@t3296)) % 1.12/1.35 (step @p3995 :rule cong :premises (@p3994) :args (@t3297)) % 1.12/1.35 (step @p3996 :rule trans :premises (@p3995 @p3993)) % 1.12/1.35 (step @p3997 :rule refl :args (tptp.ex1E1)) % 1.12/1.35 (step @p3998 :rule cong :premises (@p3997 @p3996) :args ((= tptp.ex1E1 @t3297))) % 1.12/1.35 (step @p3999 :rule cong :premises (@p2548 @p3876) :args (@t725)) % 1.12/1.35 (step @p4000 :rule cong :premises (@p3999) :args (@t726)) % 1.12/1.35 (step @p4001 :rule cong :premises (@p3997 @p4000) :args (@t727)) % 1.12/1.35 (step @p4002 :rule trans :premises (@p4001 @p3998)) % 1.12/1.35 (step @p4003 :rule eq_resolve :premises (@p155 @p4002)) % 1.12/1.35 (step @p4004 :rule cong :premises (@p4003 @p3983) :args (@t3298)) % 1.12/1.35 (step @p4005 :rule refl :args (@t715)) % 1.12/1.35 (step @p4006 :rule cong :premises (@p3869 @p4005) :args (@t716)) % 1.12/1.35 (step @p4007 :rule cong :premises (@p2530 @p4006) :args (@t720)) % 1.12/1.35 (step @p4008 :rule cong :premises (@p4007) :args (@t721)) % 1.12/1.35 (step @p4009 :rule trans :premises (@p4008 @p3861)) % 1.12/1.35 (step @p4010 :rule refl :args (tptp.singletonprop)) % 1.12/1.35 (step @p4011 :rule cong :premises (@p4010 @p4009) :args (@t722)) % 1.12/1.35 (step @p4012 :rule eq_resolve :premises (@p154 @p4011)) % 1.12/1.35 (step @p4013 :rule cong :premises (@p4012 @p4004) :args (@t3299)) % 1.12/1.35 (step @p4014 :rule refl :args ((tptp.setunion @t279))) % 1.12/1.35 (step @p4015 :rule cong :premises (@p1207) :args (@t1726)) % 1.12/1.35 (step @p4016 :rule trans :premises (@p4015 @p4014)) % 1.12/1.35 (step @p4017 :rule ho_cong :premises (@p2896 @p1207)) % 1.12/1.35 (step @p4018 :rule cong :premises (@p4017 @p4016) :args ((= (_ tptp.setunion @t1413) @t1726))) % 1.12/1.35 (step @p4019 :rule symm :premises (@p4018)) % 1.12/1.35 (step @p4020 :rule refl :args (@t712)) % 1.12/1.35 (step @p4021 :rule eq_resolve :premises (@p4020 @p4019)) % 1.12/1.35 (step @p4022 :rule ho_cong :premises (@p2896 @p1211)) % 1.12/1.35 (step @p4023 :rule trans :premises (@p4022 @p4021)) % 1.12/1.35 (step @p4024 :rule cong :premises (@p768 @p4023) :args (@t3300)) % 1.12/1.35 (step @p4025 :rule cong :premises (@p4024) :args ((forall @t9 @t3300))) % 1.12/1.35 (step @p4026 :rule eq-symm :args (@t712 @t4)) % 1.12/1.35 (step @p4027 :rule cong :premises (@p4026) :args (@t713)) % 1.12/1.35 (step @p4028 :rule trans :premises (@p4027 @p4025)) % 1.12/1.35 (step @p4029 :rule refl :args (tptp.setunionsingleton)) % 1.12/1.35 (step @p4030 :rule cong :premises (@p4029 @p4028) :args (@t714)) % 1.12/1.35 (step @p4031 :rule eq_resolve :premises (@p153 @p4030)) % 1.12/1.35 (step @p4032 :rule cong :premises (@p4031 @p4013) :args (@t3301)) % 1.12/1.35 (step @p4033 :rule refl :args ((tptp.subset @t2 @t705))) % 1.12/1.35 (step @p4034 :rule refl :args ((tptp.setunion @t704))) % 1.12/1.35 (step @p4035 :rule refl :args (@t1728)) % 1.12/1.35 (step @p4036 :rule cong :premises (@p4035) :args (@t1729)) % 1.12/1.35 (step @p4037 :rule trans :premises (@p4036 @p4034)) % 1.12/1.35 (step @p4038 :rule cong :premises (@p1055 @p4037) :args (@t1730)) % 1.12/1.35 (step @p4039 :rule trans :premises (@p4038 @p4033)) % 1.12/1.35 (step @p4040 :rule refl :args (@t421)) % 1.12/1.35 (step @p4041 :rule ho_cong :premises (@p4040 @p4037)) % 1.12/1.35 (step @p4042 :rule cong :premises (@p4041 @p4039) :args ((= (_ @t421 @t1729) @t1730))) % 1.12/1.35 (step @p4043 :rule symm :premises (@p4042)) % 1.12/1.35 (step @p4044 :rule refl :args (@t709)) % 1.12/1.35 (step @p4045 :rule eq_resolve :premises (@p4044 @p4043)) % 1.12/1.35 (step @p4046 :rule ho_cong :premises (@p2896 @p4035)) % 1.12/1.35 (step @p4047 :rule cong :premises (@p4046 @p4037) :args ((= (_ tptp.setunion @t1728) @t1729))) % 1.12/1.35 (step @p4048 :rule symm :premises (@p4047)) % 1.12/1.35 (step @p4049 :rule refl :args (@t705)) % 1.12/1.35 (step @p4050 :rule eq_resolve :premises (@p4049 @p4048)) % 1.12/1.35 (step @p4051 :rule refl :args (@t704)) % 1.12/1.35 (step @p4052 :rule cong :premises (@p4051 @p4035) :args ((= @t704 @t1728))) % 1.12/1.35 (step @p4053 :rule symm :premises (@p4052)) % 1.12/1.35 (step @p4054 :rule eq_resolve :premises (@p4051 @p4053)) % 1.12/1.35 (step @p4055 :rule ho_cong :premises (@p2896 @p4054)) % 1.12/1.35 (step @p4056 :rule trans :premises (@p4055 @p4050)) % 1.12/1.35 (step @p4057 :rule ho_cong :premises (@p4040 @p4056)) % 1.12/1.35 (step @p4058 :rule trans :premises (@p4057 @p4045)) % 1.12/1.35 (step @p4059 :rule cong :premises (@p4058) :args (@t710)) % 1.12/1.35 (step @p4060 :rule refl :args (tptp.setunionsingleton2)) % 1.12/1.35 (step @p4061 :rule cong :premises (@p4060 @p4059) :args (@t711)) % 1.12/1.35 (step @p4062 :rule eq_resolve :premises (@p152 @p4061)) % 1.12/1.35 (step @p4063 :rule cong :premises (@p4062 @p4032) :args (@t3302)) % 1.12/1.35 (step @p4064 :rule refl :args ((tptp.subset @t705 @t2))) % 1.12/1.35 (step @p4065 :rule cong :premises (@p4037 @p1055) :args (@t1732)) % 1.12/1.35 (step @p4066 :rule trans :premises (@p4065 @p4064)) % 1.12/1.35 (step @p4067 :rule ho_cong :premises (@p3095 @p4037)) % 1.12/1.35 (step @p4068 :rule ho_cong :premises (@p4067 @p1055)) % 1.12/1.35 (step @p4069 :rule cong :premises (@p4068 @p4066) :args ((= (_ (_ tptp.subset @t1729) @t2) @t1732))) % 1.12/1.35 (step @p4070 :rule symm :premises (@p4069)) % 1.12/1.35 (step @p4071 :rule refl :args (@t706)) % 1.12/1.35 (step @p4072 :rule eq_resolve :premises (@p4071 @p4070)) % 1.12/1.35 (step @p4073 :rule ho_cong :premises (@p3095 @p4056)) % 1.12/1.35 (step @p4074 :rule ho_cong :premises (@p4073 @p1055)) % 1.12/1.35 (step @p4075 :rule trans :premises (@p4074 @p4072)) % 1.12/1.35 (step @p4076 :rule cong :premises (@p4075) :args (@t707)) % 1.12/1.35 (step @p4077 :rule refl :args (tptp.setunionsingleton1)) % 1.12/1.35 (step @p4078 :rule cong :premises (@p4077 @p4076) :args (@t708)) % 1.12/1.35 (step @p4079 :rule eq_resolve :premises (@p151 @p4078)) % 1.12/1.35 (step @p4080 :rule cong :premises (@p4079 @p4063) :args (@t3303)) % 1.12/1.35 (step @p4081 :rule refl :args (@t1737)) % 1.12/1.35 (step @p4082 :rule refl :args ((tptp.in @t4 @t43))) % 1.12/1.35 (step @p4083 :rule refl :args (@t1738)) % 1.12/1.35 (step @p4084 :rule cong :premises (@p768 @p4083) :args (@t1739)) % 1.12/1.35 (step @p4085 :rule trans :premises (@p4084 @p4082)) % 1.12/1.35 (step @p4086 :rule ho_cong :premises (@p1305 @p4083)) % 1.12/1.35 (step @p4087 :rule cong :premises (@p4086 @p4085) :args ((= (_ @t5 @t1738) @t1739))) % 1.12/1.35 (step @p4088 :rule symm :premises (@p4087)) % 1.12/1.35 (step @p4089 :rule refl :args (@t44)) % 1.12/1.35 (step @p4090 :rule eq_resolve :premises (@p4089 @p4088)) % 1.12/1.35 (step @p4091 :rule refl :args (@t43)) % 1.12/1.35 (step @p4092 :rule cong :premises (@p4091 @p4083) :args ((= @t43 @t1738))) % 1.12/1.35 (step @p4093 :rule symm :premises (@p4092)) % 1.12/1.35 (step @p4094 :rule eq_resolve :premises (@p4091 @p4093)) % 1.12/1.35 (step @p4095 :rule ho_cong :premises (@p1305 @p4094)) % 1.12/1.35 (step @p4096 :rule trans :premises (@p4095 @p4090)) % 1.12/1.35 (step @p4097 :rule cong :premises (@p4096) :args (@t3304)) % 1.12/1.35 (step @p4098 :rule nary_cong :premises (@p4097 @p4081) :args (@t3305)) % 1.12/1.35 (step @p4099 :rule cong :premises (@p4098) :args ((forall @t46 @t3305))) % 1.12/1.35 (step @p4100 :rule bool-impl-elim :args (@t44 @t1737)) % 1.12/1.35 (step @p4101 :rule cong :premises (@p4100) :args ((forall @t46 (=> @t44 @t1737)))) % 1.12/1.35 (step @p4102 :rule trans :premises (@p4101 @p4099)) % 1.12/1.35 (step @p4103 :rule refl :args (@t1736)) % 1.12/1.35 (step @p4104 :rule refl :args (@t697)) % 1.12/1.35 (step @p4105 :rule cong :premises (@p4104 @p4103) :args ((= @t697 @t1736))) % 1.12/1.35 (step @p4106 :rule symm :premises (@p4105)) % 1.12/1.35 (step @p4107 :rule eq_resolve :premises (@p4104 @p4106)) % 1.12/1.35 (step @p4108 :rule cong :premises (@p4107) :args (@t3306)) % 1.12/1.35 (step @p4109 :rule nary_cong :premises (@p4108 @p1017) :args (@t3307)) % 1.12/1.35 (step @p4110 :rule cong :premises (@p4109) :args ((forall @t699 @t3307))) % 1.12/1.35 (step @p4111 :rule bool-and-de-morgan :args (@t697 @t695 true)) % 1.12/1.35 (step @p4112 :rule cong :premises (@p4111) :args (@t3308)) % 1.12/1.35 (step @p4113 :rule trans :premises (@p4112 @p4110)) % 1.12/1.35 (step @p4114 :rule cong :premises (@p4113) :args (@t3309)) % 1.12/1.35 (step @p4115 :rule exists-elim :args ((= @t700 @t3309))) % 1.12/1.35 (step @p4116 :rule trans :premises (@p4115 @p4114)) % 1.12/1.35 (step @p4117 :rule refl :args (@t44)) % 1.12/1.35 (step @p4118 :rule cong :premises (@p4117 @p4116) :args (@t701)) % 1.12/1.35 (step @p4119 :rule cong :premises (@p4118) :args (@t702)) % 1.12/1.35 (step @p4120 :rule trans :premises (@p4119 @p4102)) % 1.12/1.35 (step @p4121 :rule refl :args (tptp.setunionE2)) % 1.12/1.35 (step @p4122 :rule cong :premises (@p4121 @p4120) :args (@t703)) % 1.12/1.35 (step @p4123 :rule eq_resolve :premises (@p150 @p4122)) % 1.12/1.35 (step @p4124 :rule cong :premises (@p4123 @p4080) :args (@t3310)) % 1.12/1.35 (step @p4125 :rule nary_cong :premises (@p3209 @p3390) :args (@t3311)) % 1.12/1.35 (step @p4126 :rule cong :premises (@p4125) :args ((forall @t688 @t3311))) % 1.12/1.35 (step @p4127 :rule bool-impl-elim :args (@t686 @t691)) % 1.12/1.35 (step @p4128 :rule cong :premises (@p4127) :args (@t692)) % 1.12/1.35 (step @p4129 :rule trans :premises (@p4128 @p4126)) % 1.12/1.35 (step @p4130 :rule refl :args (tptp.cartprodmempair)) % 1.12/1.35 (step @p4131 :rule cong :premises (@p4130 @p4129) :args (@t693)) % 1.12/1.35 (step @p4132 :rule eq_resolve :premises (@p149 @p4131)) % 1.12/1.35 (step @p4133 :rule cong :premises (@p4132 @p4124) :args (@t3312)) % 1.12/1.35 (step @p4134 :rule refl :args (@t1748)) % 1.12/1.35 (step @p4135 :rule nary_cong :premises (@p3209 @p4134) :args (@t3313)) % 1.12/1.35 (step @p4136 :rule cong :premises (@p4135) :args ((forall @t688 @t3313))) % 1.12/1.35 (step @p4137 :rule bool-impl-elim :args (@t686 @t1748)) % 1.12/1.35 (step @p4138 :rule cong :premises (@p4137) :args ((forall @t688 (=> @t686 @t1748)))) % 1.12/1.35 (step @p4139 :rule trans :premises (@p4138 @p4136)) % 1.12/1.35 (step @p4140 :rule aci_norm :args ((= @t3315 @t1746))) % 1.12/1.35 (step @p4141 :rule cong :premises (@p4140) :args (@t3316)) % 1.12/1.35 (step @p4142 :rule quant-merge-prenex :args ((= (forall @t9 @t3318) @t3316))) % 1.12/1.35 (step @p4143 :rule alpha_equiv :args (@t3319 (@list @t1743) @t2413)) % 1.12/1.35 (step @p4144 :rule nary_cong :premises (@p744 @p4143) :args (@t3320)) % 1.12/1.35 (step @p4145 :rule quant-miniscope-or :args ((= @t3318 @t3320))) % 1.12/1.35 (step @p4146 :rule trans :premises (@p4145 @p4144)) % 1.12/1.35 (step @p4147 :rule symm :premises (@p4146)) % 1.12/1.35 (step @p4148 :rule cong :premises (@p4147) :args ((forall @t9 (or @t1384 @t3321)))) % 1.12/1.35 (step @p4149 :rule trans :premises (@p4148 @p4142)) % 1.12/1.35 (step @p4150 :rule trans :premises (@p4149 @p4141)) % 1.12/1.35 (step @p4151 :rule refl :args (@t3321)) % 1.12/1.35 (step @p4152 :rule nary_cong :premises (@p758 @p4151) :args (@t3322)) % 1.12/1.35 (step @p4153 :rule cong :premises (@p4152) :args ((forall @t9 @t3322))) % 1.12/1.35 (step @p4154 :rule trans :premises (@p4153 @p4150)) % 1.12/1.35 (step @p4155 :rule bool-double-not-elim :args (@t3321)) % 1.12/1.35 (step @p4156 :rule nary_cong :premises (@p3929 @p4155) :args ((or @t197 (not @t3323)))) % 1.12/1.35 (step @p4157 :rule bool-and-de-morgan :args (@t7 @t3323 true)) % 1.12/1.35 (step @p4158 :rule trans :premises (@p4157 @p4156)) % 1.12/1.35 (step @p4159 :rule cong :premises (@p4158) :args (@t3325)) % 1.12/1.35 (step @p4160 :rule trans :premises (@p4159 @p4154)) % 1.12/1.35 (step @p4161 :rule cong :premises (@p4160) :args (@t3326)) % 1.12/1.35 (step @p4162 :rule exists-elim :args ((= (exists @t9 @t3324) @t3326))) % 1.12/1.35 (step @p4163 :rule trans :premises (@p4162 @p4161)) % 1.12/1.35 (step @p4164 :rule cong :premises (@p3196 @p1976) :args (@t680)) % 1.12/1.35 (step @p4165 :rule cong :premises (@p4164) :args (@t3327)) % 1.12/1.35 (step @p4166 :rule nary_cong :premises (@p1996 @p4165) :args (@t3328)) % 1.12/1.35 (step @p4167 :rule cong :premises (@p4166) :args ((forall @t70 @t3328))) % 1.12/1.35 (step @p4168 :rule bool-and-de-morgan :args (@t354 @t680 true)) % 1.12/1.35 (step @p4169 :rule cong :premises (@p4168) :args (@t3329)) % 1.12/1.35 (step @p4170 :rule trans :premises (@p4169 @p4167)) % 1.12/1.35 (step @p4171 :rule cong :premises (@p4170) :args (@t3330)) % 1.12/1.35 (step @p4172 :rule exists-elim :args ((= @t682 @t3330))) % 1.12/1.35 (step @p4173 :rule trans :premises (@p4172 @p4171)) % 1.12/1.35 (step @p4174 :rule nary_cong :premises (@p811 @p4173) :args (@t683)) % 1.12/1.35 (step @p4175 :rule cong :premises (@p4174) :args (@t684)) % 1.12/1.35 (step @p4176 :rule trans :premises (@p4175 @p4163)) % 1.12/1.35 (step @p4177 :rule cong :premises (@p3216 @p4176) :args (@t687)) % 1.12/1.35 (step @p4178 :rule cong :premises (@p4177) :args (@t689)) % 1.12/1.35 (step @p4179 :rule trans :premises (@p4178 @p4139)) % 1.12/1.35 (step @p4180 :rule refl :args (tptp.cartprodmempair1)) % 1.12/1.35 (step @p4181 :rule cong :premises (@p4180 @p4179) :args (@t690)) % 1.12/1.35 (step @p4182 :rule eq_resolve :premises (@p148 @p4181)) % 1.12/1.35 (step @p4183 :rule cong :premises (@p4182 @p4133) :args (@t3331)) % 1.12/1.35 (step @p4184 :rule aci_norm :args ((= @t3333 @t1753))) % 1.12/1.35 (step @p4185 :rule cong :premises (@p4184) :args (@t3334)) % 1.12/1.35 (step @p4186 :rule quant-merge-prenex :args ((= (forall @t245 @t3336) @t3334))) % 1.12/1.35 (step @p4187 :rule alpha_equiv :args (@t3337 (@list @t1750) @t2413)) % 1.12/1.35 (step @p4188 :rule nary_cong :premises (@p744 @p4187) :args (@t3338)) % 1.12/1.35 (step @p4189 :rule quant-miniscope-or :args ((= @t3336 @t3338))) % 1.12/1.35 (step @p4190 :rule trans :premises (@p4189 @p4188)) % 1.12/1.35 (step @p4191 :rule symm :premises (@p4190)) % 1.12/1.35 (step @p4192 :rule cong :premises (@p4191) :args ((forall @t245 (or @t1384 @t3339)))) % 1.12/1.35 (step @p4193 :rule trans :premises (@p4192 @p4186)) % 1.12/1.35 (step @p4194 :rule trans :premises (@p4193 @p4185)) % 1.12/1.35 (step @p4195 :rule refl :args (@t3339)) % 1.12/1.35 (step @p4196 :rule nary_cong :premises (@p758 @p4195) :args (@t3340)) % 1.12/1.35 (step @p4197 :rule cong :premises (@p4196) :args ((forall @t245 @t3340))) % 1.12/1.35 (step @p4198 :rule trans :premises (@p4197 @p4194)) % 1.12/1.35 (step @p4199 :rule bool-impl-elim :args (@t7 @t3339)) % 1.12/1.35 (step @p4200 :rule cong :premises (@p4199) :args ((forall @t245 (=> @t7 @t3339)))) % 1.12/1.35 (step @p4201 :rule trans :premises (@p4200 @p4198)) % 1.12/1.35 (step @p4202 :rule nary_cong :premises (@p1996 @p3345) :args (@t3341)) % 1.12/1.35 (step @p4203 :rule cong :premises (@p4202) :args ((forall @t70 @t3341))) % 1.12/1.35 (step @p4204 :rule bool-impl-elim :args (@t354 @t675)) % 1.12/1.35 (step @p4205 :rule cong :premises (@p4204) :args (@t676)) % 1.12/1.35 (step @p4206 :rule trans :premises (@p4205 @p4203)) % 1.12/1.35 (step @p4207 :rule cong :premises (@p811 @p4206) :args (@t677)) % 1.12/1.35 (step @p4208 :rule cong :premises (@p4207) :args (@t678)) % 1.12/1.35 (step @p4209 :rule trans :premises (@p4208 @p4201)) % 1.12/1.35 (step @p4210 :rule refl :args (tptp.cartprodpairin)) % 1.12/1.35 (step @p4211 :rule cong :premises (@p4210 @p4209) :args (@t679)) % 1.12/1.35 (step @p4212 :rule eq_resolve :premises (@p147 @p4211)) % 1.12/1.35 (step @p4213 :rule cong :premises (@p4212 @p4183) :args (@t3342)) % 1.12/1.35 (step @p4214 :rule aci_norm :args ((= @t3344 @t1762))) % 1.12/1.35 (step @p4215 :rule cong :premises (@p4214) :args (@t3345)) % 1.12/1.35 (step @p4216 :rule quant-merge-prenex :args ((= (forall @t245 @t3347) @t3345))) % 1.12/1.35 (step @p4217 :rule alpha_equiv :args (@t3348 (@list @t1759) @t2413)) % 1.12/1.35 (step @p4218 :rule nary_cong :premises (@p744 @p4217) :args (@t3349)) % 1.12/1.35 (step @p4219 :rule quant-miniscope-or :args ((= @t3347 @t3349))) % 1.12/1.35 (step @p4220 :rule trans :premises (@p4219 @p4218)) % 1.12/1.35 (step @p4221 :rule symm :premises (@p4220)) % 1.12/1.35 (step @p4222 :rule cong :premises (@p4221) :args ((forall @t245 (or @t1384 @t3351)))) % 1.12/1.35 (step @p4223 :rule trans :premises (@p4222 @p4216)) % 1.12/1.35 (step @p4224 :rule trans :premises (@p4223 @p4215)) % 1.12/1.35 (step @p4225 :rule refl :args (@t3351)) % 1.12/1.35 (step @p4226 :rule nary_cong :premises (@p758 @p4225) :args (@t3352)) % 1.12/1.35 (step @p4227 :rule cong :premises (@p4226) :args ((forall @t245 @t3352))) % 1.12/1.35 (step @p4228 :rule trans :premises (@p4227 @p4224)) % 1.12/1.35 (step @p4229 :rule bool-impl-elim :args (@t7 @t3351)) % 1.12/1.35 (step @p4230 :rule cong :premises (@p4229) :args ((forall @t245 (=> @t7 @t3351)))) % 1.12/1.35 (step @p4231 :rule trans :premises (@p4230 @p4228)) % 1.12/1.35 (step @p4232 :rule refl :args ((tptp.in @t632 @t662))) % 1.12/1.35 (step @p4233 :rule refl :args ((tptp.powerset @t643))) % 1.12/1.35 (step @p4234 :rule refl :args ((tptp.powerset @t494))) % 1.12/1.35 (step @p4235 :rule refl :args (@t1756)) % 1.12/1.35 (step @p4236 :rule cong :premises (@p4235) :args (@t1757)) % 1.12/1.35 (step @p4237 :rule trans :premises (@p4236 @p4234)) % 1.12/1.35 (step @p4238 :rule cong :premises (@p4237) :args (@t1758)) % 1.12/1.35 (step @p4239 :rule trans :premises (@p4238 @p4233)) % 1.12/1.35 (step @p4240 :rule cong :premises (@p1964 @p4239) :args (@t3350)) % 1.12/1.35 (step @p4241 :rule trans :premises (@p4240 @p4232)) % 1.12/1.35 (step @p4242 :rule ho_cong :premises (@p1967 @p4239)) % 1.12/1.35 (step @p4243 :rule cong :premises (@p4242 @p4241) :args ((= (_ @t2791 @t1758) @t3350))) % 1.12/1.35 (step @p4244 :rule symm :premises (@p4243)) % 1.12/1.35 (step @p4245 :rule refl :args (@t669)) % 1.12/1.35 (step @p4246 :rule eq_resolve :premises (@p4245 @p4244)) % 1.12/1.35 (step @p4247 :rule refl :args (tptp.powerset)) % 1.12/1.35 (step @p4248 :rule ho_cong :premises (@p4247 @p4237)) % 1.12/1.35 (step @p4249 :rule cong :premises (@p4248 @p4239) :args ((= (_ tptp.powerset @t1757) @t1758))) % 1.12/1.35 (step @p4250 :rule symm :premises (@p4249)) % 1.12/1.35 (step @p4251 :rule refl :args (@t662)) % 1.12/1.35 (step @p4252 :rule eq_resolve :premises (@p4251 @p4250)) % 1.12/1.35 (step @p4253 :rule ho_cong :premises (@p4247 @p4235)) % 1.12/1.35 (step @p4254 :rule cong :premises (@p4253 @p4237) :args ((= (_ tptp.powerset @t1756) @t1757))) % 1.12/1.35 (step @p4255 :rule symm :premises (@p4254)) % 1.12/1.35 (step @p4256 :rule refl :args (@t643)) % 1.12/1.35 (step @p4257 :rule eq_resolve :premises (@p4256 @p4255)) % 1.12/1.35 (step @p4258 :rule refl :args (@t494)) % 1.12/1.35 (step @p4259 :rule cong :premises (@p4258 @p4235) :args ((= @t494 @t1756))) % 1.12/1.35 (step @p4260 :rule symm :premises (@p4259)) % 1.12/1.35 (step @p4261 :rule eq_resolve :premises (@p4258 @p4260)) % 1.12/1.35 (step @p4262 :rule ho_cong :premises (@p4247 @p4261)) % 1.12/1.35 (step @p4263 :rule trans :premises (@p4262 @p4257)) % 1.12/1.35 (step @p4264 :rule ho_cong :premises (@p4247 @p4263)) % 1.12/1.35 (step @p4265 :rule trans :premises (@p4264 @p4252)) % 1.12/1.35 (step @p4266 :rule ho_cong :premises (@p1977 @p4265)) % 1.12/1.35 (step @p4267 :rule trans :premises (@p4266 @p4246)) % 1.12/1.35 (step @p4268 :rule nary_cong :premises (@p1996 @p4267) :args (@t3353)) % 1.12/1.35 (step @p4269 :rule cong :premises (@p4268) :args ((forall @t70 @t3353))) % 1.12/1.35 (step @p4270 :rule bool-impl-elim :args (@t354 @t669)) % 1.12/1.35 (step @p4271 :rule cong :premises (@p4270) :args (@t670)) % 1.12/1.35 (step @p4272 :rule trans :premises (@p4271 @p4269)) % 1.12/1.35 (step @p4273 :rule cong :premises (@p811 @p4272) :args (@t671)) % 1.12/1.35 (step @p4274 :rule cong :premises (@p4273) :args (@t672)) % 1.12/1.35 (step @p4275 :rule trans :premises (@p4274 @p4231)) % 1.12/1.35 (step @p4276 :rule refl :args (tptp.ubforcartprodlem3)) % 1.12/1.35 (step @p4277 :rule cong :premises (@p4276 @p4275) :args (@t673)) % 1.12/1.35 (step @p4278 :rule eq_resolve :premises (@p146 @p4277)) % 1.12/1.35 (step @p4279 :rule cong :premises (@p4278 @p4213) :args (@t3354)) % 1.12/1.35 (step @p4280 :rule aci_norm :args ((= @t3356 @t1768))) % 1.12/1.35 (step @p4281 :rule cong :premises (@p4280) :args (@t3357)) % 1.12/1.35 (step @p4282 :rule quant-merge-prenex :args ((= (forall @t245 @t3359) @t3357))) % 1.12/1.35 (step @p4283 :rule alpha_equiv :args (@t3360 (@list @t1765) @t2413)) % 1.12/1.35 (step @p4284 :rule nary_cong :premises (@p744 @p4283) :args (@t3361)) % 1.12/1.35 (step @p4285 :rule quant-miniscope-or :args ((= @t3359 @t3361))) % 1.12/1.35 (step @p4286 :rule trans :premises (@p4285 @p4284)) % 1.12/1.35 (step @p4287 :rule symm :premises (@p4286)) % 1.12/1.35 (step @p4288 :rule cong :premises (@p4287) :args ((forall @t245 (or @t1384 @t3363)))) % 1.12/1.35 (step @p4289 :rule trans :premises (@p4288 @p4282)) % 1.12/1.35 (step @p4290 :rule trans :premises (@p4289 @p4281)) % 1.12/1.35 (step @p4291 :rule refl :args (@t3363)) % 1.12/1.35 (step @p4292 :rule nary_cong :premises (@p758 @p4291) :args (@t3364)) % 1.12/1.35 (step @p4293 :rule cong :premises (@p4292) :args ((forall @t245 @t3364))) % 1.12/1.35 (step @p4294 :rule trans :premises (@p4293 @p4290)) % 1.12/1.35 (step @p4295 :rule bool-impl-elim :args (@t7 @t3363)) % 1.12/1.35 (step @p4296 :rule cong :premises (@p4295) :args ((forall @t245 (=> @t7 @t3363)))) % 1.12/1.36 (step @p4297 :rule trans :premises (@p4296 @p4294)) % 1.12/1.36 (step @p4298 :rule refl :args ((tptp.in @t620 @t662))) % 1.12/1.36 (step @p4299 :rule cong :premises (@p3532 @p4239) :args (@t3362)) % 1.12/1.36 (step @p4300 :rule trans :premises (@p4299 @p4298)) % 1.12/1.36 (step @p4301 :rule ho_cong :premises (@p774 @p3532)) % 1.12/1.36 (step @p4302 :rule ho_cong :premises (@p4301 @p4239)) % 1.12/1.36 (step @p4303 :rule cong :premises (@p4302 @p4300) :args ((= (_ (_ tptp.in @t1670) @t1758) @t3362))) % 1.12/1.36 (step @p4304 :rule symm :premises (@p4303)) % 1.12/1.36 (step @p4305 :rule refl :args (@t663)) % 1.12/1.36 (step @p4306 :rule eq_resolve :premises (@p4305 @p4304)) % 1.12/1.36 (step @p4307 :rule ho_cong :premises (@p774 @p3550)) % 1.12/1.36 (step @p4308 :rule ho_cong :premises (@p4307 @p4265)) % 1.12/1.36 (step @p4309 :rule trans :premises (@p4308 @p4306)) % 1.12/1.36 (step @p4310 :rule nary_cong :premises (@p1996 @p4309) :args (@t3365)) % 1.12/1.36 (step @p4311 :rule cong :premises (@p4310) :args ((forall @t70 @t3365))) % 1.12/1.36 (step @p4312 :rule bool-impl-elim :args (@t354 @t663)) % 1.12/1.36 (step @p4313 :rule cong :premises (@p4312) :args (@t664)) % 1.12/1.36 (step @p4314 :rule trans :premises (@p4313 @p4311)) % 1.12/1.36 (step @p4315 :rule cong :premises (@p811 @p4314) :args (@t665)) % 1.12/1.36 (step @p4316 :rule cong :premises (@p4315) :args (@t666)) % 1.12/1.36 (step @p4317 :rule trans :premises (@p4316 @p4297)) % 1.12/1.36 (step @p4318 :rule refl :args (tptp.ubforcartprodlem2)) % 1.12/1.36 (step @p4319 :rule cong :premises (@p4318 @p4317) :args (@t667)) % 1.12/1.36 (step @p4320 :rule eq_resolve :premises (@p145 @p4319)) % 1.12/1.36 (step @p4321 :rule cong :premises (@p4320 @p4279) :args (@t3366)) % 1.12/1.36 (step @p4322 :rule aci_norm :args ((= @t3368 @t1774))) % 1.12/1.36 (step @p4323 :rule cong :premises (@p4322) :args (@t3369)) % 1.12/1.36 (step @p4324 :rule quant-merge-prenex :args ((= (forall @t245 @t3371) @t3369))) % 1.12/1.36 (step @p4325 :rule alpha_equiv :args (@t3372 (@list @t1771) @t2413)) % 1.12/1.36 (step @p4326 :rule nary_cong :premises (@p744 @p4325) :args (@t3373)) % 1.12/1.36 (step @p4327 :rule quant-miniscope-or :args ((= @t3371 @t3373))) % 1.12/1.36 (step @p4328 :rule trans :premises (@p4327 @p4326)) % 1.12/1.36 (step @p4329 :rule symm :premises (@p4328)) % 1.12/1.36 (step @p4330 :rule cong :premises (@p4329) :args ((forall @t245 (or @t1384 @t3375)))) % 1.12/1.36 (step @p4331 :rule trans :premises (@p4330 @p4324)) % 1.12/1.36 (step @p4332 :rule trans :premises (@p4331 @p4323)) % 1.12/1.36 (step @p4333 :rule refl :args (@t3375)) % 1.12/1.36 (step @p4334 :rule nary_cong :premises (@p758 @p4333) :args (@t3376)) % 1.12/1.36 (step @p4335 :rule cong :premises (@p4334) :args ((forall @t245 @t3376))) % 1.12/1.36 (step @p4336 :rule trans :premises (@p4335 @p4332)) % 1.12/1.36 (step @p4337 :rule bool-impl-elim :args (@t7 @t3375)) % 1.12/1.36 (step @p4338 :rule cong :premises (@p4337) :args ((forall @t245 (=> @t7 @t3375)))) % 1.12/1.36 (step @p4339 :rule trans :premises (@p4338 @p4336)) % 1.12/1.36 (step @p4340 :rule refl :args ((tptp.subset @t620 @t643))) % 1.12/1.36 (step @p4341 :rule cong :premises (@p3532 @p4237) :args (@t3374)) % 1.12/1.36 (step @p4342 :rule trans :premises (@p4341 @p4340)) % 1.12/1.36 (step @p4343 :rule ho_cong :premises (@p3095 @p3532)) % 1.12/1.36 (step @p4344 :rule ho_cong :premises (@p4343 @p4237)) % 1.12/1.36 (step @p4345 :rule cong :premises (@p4344 @p4342) :args ((= (_ (_ tptp.subset @t1670) @t1757) @t3374))) % 1.12/1.36 (step @p4346 :rule symm :premises (@p4345)) % 1.12/1.36 (step @p4347 :rule refl :args (@t657)) % 1.12/1.36 (step @p4348 :rule eq_resolve :premises (@p4347 @p4346)) % 1.12/1.36 (step @p4349 :rule ho_cong :premises (@p3095 @p3550)) % 1.12/1.36 (step @p4350 :rule ho_cong :premises (@p4349 @p4263)) % 1.12/1.36 (step @p4351 :rule trans :premises (@p4350 @p4348)) % 1.12/1.36 (step @p4352 :rule nary_cong :premises (@p1996 @p4351) :args (@t3377)) % 1.12/1.36 (step @p4353 :rule cong :premises (@p4352) :args ((forall @t70 @t3377))) % 1.12/1.36 (step @p4354 :rule bool-impl-elim :args (@t354 @t657)) % 1.12/1.36 (step @p4355 :rule cong :premises (@p4354) :args (@t658)) % 1.12/1.36 (step @p4356 :rule trans :premises (@p4355 @p4353)) % 1.12/1.36 (step @p4357 :rule cong :premises (@p811 @p4356) :args (@t659)) % 1.12/1.36 (step @p4358 :rule cong :premises (@p4357) :args (@t660)) % 1.12/1.36 (step @p4359 :rule trans :premises (@p4358 @p4339)) % 1.12/1.36 (step @p4360 :rule refl :args (tptp.ubforcartprodlem1)) % 1.12/1.36 (step @p4361 :rule cong :premises (@p4360 @p4359) :args (@t661)) % 1.12/1.36 (step @p4362 :rule eq_resolve :premises (@p144 @p4361)) % 1.12/1.36 (step @p4363 :rule cong :premises (@p4362 @p4321) :args (@t3378)) % 1.12/1.36 (step @p4364 :rule aci_norm :args ((= @t3380 @t1780))) % 1.12/1.36 (step @p4365 :rule cong :premises (@p4364) :args (@t3381)) % 1.12/1.36 (step @p4366 :rule quant-merge-prenex :args ((= (forall @t245 @t3383) @t3381))) % 1.12/1.36 (step @p4367 :rule alpha_equiv :args (@t3384 (@list @t1777) @t2413)) % 1.12/1.36 (step @p4368 :rule nary_cong :premises (@p744 @p4367) :args (@t3385)) % 1.12/1.36 (step @p4369 :rule quant-miniscope-or :args ((= @t3383 @t3385))) % 1.12/1.36 (step @p4370 :rule trans :premises (@p4369 @p4368)) % 1.12/1.36 (step @p4371 :rule symm :premises (@p4370)) % 1.12/1.36 (step @p4372 :rule cong :premises (@p4371) :args ((forall @t245 (or @t1384 @t3387)))) % 1.12/1.36 (step @p4373 :rule trans :premises (@p4372 @p4366)) % 1.12/1.36 (step @p4374 :rule trans :premises (@p4373 @p4365)) % 1.12/1.36 (step @p4375 :rule refl :args (@t3387)) % 1.12/1.36 (step @p4376 :rule nary_cong :premises (@p758 @p4375) :args (@t3388)) % 1.12/1.36 (step @p4377 :rule cong :premises (@p4376) :args ((forall @t245 @t3388))) % 1.12/1.36 (step @p4378 :rule trans :premises (@p4377 @p4374)) % 1.12/1.36 (step @p4379 :rule bool-impl-elim :args (@t7 @t3387)) % 1.12/1.36 (step @p4380 :rule cong :premises (@p4379) :args ((forall @t245 (=> @t7 @t3387)))) % 1.12/1.36 (step @p4381 :rule trans :premises (@p4380 @p4378)) % 1.12/1.36 (step @p4382 :rule refl :args ((tptp.in @t293 @t643))) % 1.12/1.36 (step @p4383 :rule cong :premises (@p770 @p4237) :args (@t3386)) % 1.12/1.36 (step @p4384 :rule trans :premises (@p4383 @p4382)) % 1.12/1.36 (step @p4385 :rule ho_cong :premises (@p774 @p770)) % 1.12/1.36 (step @p4386 :rule ho_cong :premises (@p4385 @p4237)) % 1.12/1.36 (step @p4387 :rule cong :premises (@p4386 @p4384) :args ((= (_ (_ tptp.in @t1668) @t1757) @t3386))) % 1.12/1.36 (step @p4388 :rule symm :premises (@p4387)) % 1.12/1.36 (step @p4389 :rule refl :args (@t652)) % 1.12/1.36 (step @p4390 :rule eq_resolve :premises (@p4389 @p4388)) % 1.12/1.36 (step @p4391 :rule ho_cong :premises (@p774 @p792)) % 1.12/1.36 (step @p4392 :rule ho_cong :premises (@p4391 @p4263)) % 1.12/1.36 (step @p4393 :rule trans :premises (@p4392 @p4390)) % 1.12/1.36 (step @p4394 :rule nary_cong :premises (@p1996 @p4393) :args (@t3389)) % 1.12/1.36 (step @p4395 :rule cong :premises (@p4394) :args ((forall @t70 @t3389))) % 1.12/1.36 (step @p4396 :rule bool-impl-elim :args (@t354 @t652)) % 1.12/1.36 (step @p4397 :rule cong :premises (@p4396) :args (@t653)) % 1.12/1.36 (step @p4398 :rule trans :premises (@p4397 @p4395)) % 1.12/1.36 (step @p4399 :rule cong :premises (@p811 @p4398) :args (@t654)) % 1.12/1.36 (step @p4400 :rule cong :premises (@p4399) :args (@t655)) % 1.12/1.36 (step @p4401 :rule trans :premises (@p4400 @p4381)) % 1.12/1.36 (step @p4402 :rule refl :args (tptp.upairinpowunion)) % 1.12/1.36 (step @p4403 :rule cong :premises (@p4402 @p4401) :args (@t656)) % 1.12/1.36 (step @p4404 :rule eq_resolve :premises (@p143 @p4403)) % 1.12/1.36 (step @p4405 :rule cong :premises (@p4404 @p4363) :args (@t3390)) % 1.12/1.36 (step @p4406 :rule aci_norm :args ((= @t3392 @t1786))) % 1.12/1.36 (step @p4407 :rule cong :premises (@p4406) :args (@t3393)) % 1.12/1.36 (step @p4408 :rule quant-merge-prenex :args ((= (forall @t245 @t3395) @t3393))) % 1.12/1.36 (step @p4409 :rule alpha_equiv :args (@t3396 (@list @t1783) @t2413)) % 1.12/1.36 (step @p4410 :rule nary_cong :premises (@p744 @p4409) :args (@t3397)) % 1.12/1.36 (step @p4411 :rule quant-miniscope-or :args ((= @t3395 @t3397))) % 1.12/1.36 (step @p4412 :rule trans :premises (@p4411 @p4410)) % 1.12/1.36 (step @p4413 :rule symm :premises (@p4412)) % 1.12/1.36 (step @p4414 :rule cong :premises (@p4413) :args ((forall @t245 (or @t1384 @t3399)))) % 1.12/1.36 (step @p4415 :rule trans :premises (@p4414 @p4408)) % 1.12/1.36 (step @p4416 :rule trans :premises (@p4415 @p4407)) % 1.12/1.36 (step @p4417 :rule refl :args (@t3399)) % 1.12/1.36 (step @p4418 :rule nary_cong :premises (@p758 @p4417) :args (@t3400)) % 1.12/1.36 (step @p4419 :rule cong :premises (@p4418) :args ((forall @t245 @t3400))) % 1.12/1.36 (step @p4420 :rule trans :premises (@p4419 @p4416)) % 1.12/1.36 (step @p4421 :rule bool-impl-elim :args (@t7 @t3399)) % 1.12/1.36 (step @p4422 :rule cong :premises (@p4421) :args ((forall @t245 (=> @t7 @t3399)))) % 1.12/1.36 (step @p4423 :rule trans :premises (@p4422 @p4420)) % 1.12/1.36 (step @p4424 :rule refl :args ((tptp.subset @t293 @t494))) % 1.12/1.36 (step @p4425 :rule cong :premises (@p770 @p4235) :args (@t3398)) % 1.12/1.36 (step @p4426 :rule trans :premises (@p4425 @p4424)) % 1.12/1.36 (step @p4427 :rule ho_cong :premises (@p3095 @p770)) % 1.12/1.36 (step @p4428 :rule ho_cong :premises (@p4427 @p4235)) % 1.12/1.36 (step @p4429 :rule cong :premises (@p4428 @p4426) :args ((= (_ (_ tptp.subset @t1668) @t1756) @t3398))) % 1.12/1.36 (step @p4430 :rule symm :premises (@p4429)) % 1.12/1.36 (step @p4431 :rule refl :args (@t647)) % 1.12/1.36 (step @p4432 :rule eq_resolve :premises (@p4431 @p4430)) % 1.12/1.36 (step @p4433 :rule ho_cong :premises (@p3095 @p792)) % 1.12/1.36 (step @p4434 :rule ho_cong :premises (@p4433 @p4261)) % 1.12/1.36 (step @p4435 :rule trans :premises (@p4434 @p4432)) % 1.12/1.36 (step @p4436 :rule nary_cong :premises (@p1996 @p4435) :args (@t3401)) % 1.12/1.36 (step @p4437 :rule cong :premises (@p4436) :args ((forall @t70 @t3401))) % 1.12/1.36 (step @p4438 :rule bool-impl-elim :args (@t354 @t647)) % 1.12/1.36 (step @p4439 :rule cong :premises (@p4438) :args (@t648)) % 1.12/1.36 (step @p4440 :rule trans :premises (@p4439 @p4437)) % 1.12/1.36 (step @p4441 :rule cong :premises (@p811 @p4440) :args (@t649)) % 1.12/1.36 (step @p4442 :rule cong :premises (@p4441) :args (@t650)) % 1.12/1.36 (step @p4443 :rule trans :premises (@p4442 @p4423)) % 1.12/1.36 (step @p4444 :rule refl :args (tptp.upairsubunion)) % 1.12/1.36 (step @p4445 :rule cong :premises (@p4444 @p4443) :args (@t651)) % 1.12/1.36 (step @p4446 :rule eq_resolve :premises (@p142 @p4445)) % 1.12/1.36 (step @p4447 :rule cong :premises (@p4446 @p4405) :args (@t3402)) % 1.12/1.36 (step @p4448 :rule eq-symm :args (@t1791 tptp.upairset2E)) % 1.12/1.36 (step @p4449 :rule refl :args (tptp.upairset2E)) % 1.12/1.36 (step @p4450 :rule refl :args (@t1789)) % 1.12/1.36 (step @p4451 :rule refl :args ((tptp.in @t289 @t293))) % 1.12/1.36 (step @p4452 :rule cong :premises (@p3484 @p770) :args (@t1790)) % 1.12/1.36 (step @p4453 :rule trans :premises (@p4452 @p4451)) % 1.12/1.36 (step @p4454 :rule refl :args (@t294)) % 1.12/1.36 (step @p4455 :rule ho_cong :premises (@p4454 @p770)) % 1.12/1.36 (step @p4456 :rule cong :premises (@p4455 @p4453) :args ((= (_ @t294 @t1668) @t1790))) % 1.12/1.36 (step @p4457 :rule symm :premises (@p4456)) % 1.12/1.36 (step @p4458 :rule refl :args (@t295)) % 1.12/1.36 (step @p4459 :rule eq_resolve :premises (@p4458 @p4457)) % 1.12/1.36 (step @p4460 :rule ho_cong :premises (@p4454 @p792)) % 1.12/1.36 (step @p4461 :rule trans :premises (@p4460 @p4459)) % 1.12/1.36 (step @p4462 :rule cong :premises (@p4461) :args (@t3403)) % 1.12/1.36 (step @p4463 :rule nary_cong :premises (@p4462 @p3680 @p4450) :args (@t3404)) % 1.12/1.36 (step @p4464 :rule cong :premises (@p4463) :args ((forall @t297 @t3404))) % 1.12/1.36 (step @p4465 :rule aci_norm :args ((= (or @t3403 @t3405) @t3404))) % 1.12/1.36 (step @p4466 :rule bool-impl-elim :args (@t295 @t3405)) % 1.12/1.36 (step @p4467 :rule trans :premises (@p4466 @p4465)) % 1.12/1.36 (step @p4468 :rule cong :premises (@p4467) :args ((forall @t297 (=> @t295 @t3405)))) % 1.12/1.36 (step @p4469 :rule trans :premises (@p4468 @p4464)) % 1.12/1.36 (step @p4470 :rule nary_cong :premises (@p1129 @p1127) :args (@t292)) % 1.12/1.36 (step @p4471 :rule refl :args (@t295)) % 1.12/1.36 (step @p4472 :rule cong :premises (@p4471 @p4470) :args (@t296)) % 1.12/1.36 (step @p4473 :rule cong :premises (@p4472) :args (@t298)) % 1.12/1.36 (step @p4474 :rule trans :premises (@p4473 @p4469)) % 1.12/1.36 (step @p4475 :rule cong :premises (@p4474 @p4449) :args ((= @t298 tptp.upairset2E))) % 1.12/1.36 (step @p4476 :rule trans :premises (@p4475 @p4448)) % 1.12/1.36 (step @p4477 :rule eq-symm :args (tptp.upairset2E @t298)) % 1.12/1.36 (step @p4478 :rule trans :premises (@p4477 @p4476)) % 1.12/1.36 (step @p4479 :rule eq_resolve :premises (@p141 @p4478)) % 1.12/1.36 (step @p4480 :rule cong :premises (@p4479 @p4447) :args (@t3406)) % 1.12/1.36 (step @p4481 :rule refl :args ((tptp.in @t279 @t643))) % 1.12/1.36 (step @p4482 :rule cong :premises (@p1207 @p4237) :args (@t1792)) % 1.12/1.36 (step @p4483 :rule trans :premises (@p4482 @p4481)) % 1.12/1.36 (step @p4484 :rule ho_cong :premises (@p3769 @p4237)) % 1.12/1.36 (step @p4485 :rule cong :premises (@p4484 @p4483) :args ((= (_ @t3241 @t1757) @t1792))) % 1.12/1.36 (step @p4486 :rule symm :premises (@p4485)) % 1.12/1.36 (step @p4487 :rule refl :args (@t644)) % 1.12/1.36 (step @p4488 :rule eq_resolve :premises (@p4487 @p4486)) % 1.12/1.36 (step @p4489 :rule ho_cong :premises (@p3775 @p4263)) % 1.12/1.36 (step @p4490 :rule trans :premises (@p4489 @p4488)) % 1.12/1.36 (step @p4491 :rule nary_cong :premises (@p758 @p4490) :args (@t3407)) % 1.12/1.36 (step @p4492 :rule cong :premises (@p4491) :args ((forall @t245 @t3407))) % 1.12/1.36 (step @p4493 :rule bool-impl-elim :args (@t7 @t644)) % 1.12/1.36 (step @p4494 :rule cong :premises (@p4493) :args (@t645)) % 1.12/1.36 (step @p4495 :rule trans :premises (@p4494 @p4492)) % 1.12/1.36 (step @p4496 :rule refl :args (tptp.singletoninpowunion)) % 1.12/1.36 (step @p4497 :rule cong :premises (@p4496 @p4495) :args (@t646)) % 1.12/1.36 (step @p4498 :rule eq_resolve :premises (@p140 @p4497)) % 1.12/1.36 (step @p4499 :rule cong :premises (@p4498 @p4480) :args (@t3408)) % 1.12/1.36 (step @p4500 :rule refl :args ((tptp.in @t279 @t33))) % 1.12/1.36 (step @p4501 :rule refl :args (@t1371)) % 1.12/1.36 (step @p4502 :rule cong :premises (@p1207 @p4501) :args (@t1794)) % 1.12/1.36 (step @p4503 :rule trans :premises (@p4502 @p4500)) % 1.12/1.36 (step @p4504 :rule ho_cong :premises (@p3769 @p4501)) % 1.12/1.36 (step @p4505 :rule cong :premises (@p4504 @p4503) :args ((= (_ @t3241 @t1371) @t1794))) % 1.12/1.36 (step @p4506 :rule symm :premises (@p4505)) % 1.12/1.36 (step @p4507 :rule refl :args (@t640)) % 1.12/1.36 (step @p4508 :rule eq_resolve :premises (@p4507 @p4506)) % 1.12/1.36 (step @p4509 :rule refl :args (@t33)) % 1.12/1.36 (step @p4510 :rule cong :premises (@p4509 @p4501) :args ((= @t33 @t1371))) % 1.12/1.36 (step @p4511 :rule symm :premises (@p4510)) % 1.12/1.36 (step @p4512 :rule eq_resolve :premises (@p4509 @p4511)) % 1.12/1.36 (step @p4513 :rule ho_cong :premises (@p3775 @p4512)) % 1.12/1.36 (step @p4514 :rule trans :premises (@p4513 @p4508)) % 1.12/1.36 (step @p4515 :rule nary_cong :premises (@p758 @p4514) :args (@t3409)) % 1.12/1.36 (step @p4516 :rule cong :premises (@p4515) :args ((forall @t46 @t3409))) % 1.12/1.36 (step @p4517 :rule bool-impl-elim :args (@t7 @t640)) % 1.12/1.36 (step @p4518 :rule cong :premises (@p4517) :args (@t641)) % 1.12/1.36 (step @p4519 :rule trans :premises (@p4518 @p4516)) % 1.12/1.36 (step @p4520 :rule refl :args (tptp.singletoninpowerset)) % 1.12/1.36 (step @p4521 :rule cong :premises (@p4520 @p4519) :args (@t642)) % 1.12/1.36 (step @p4522 :rule eq_resolve :premises (@p139 @p4521)) % 1.12/1.36 (step @p4523 :rule cong :premises (@p4522 @p4499) :args (@t3410)) % 1.12/1.36 (step @p4524 :rule refl :args ((tptp.subset @t279 @t2))) % 1.12/1.36 (step @p4525 :rule cong :premises (@p1207 @p1055) :args (@t1796)) % 1.12/1.36 (step @p4526 :rule trans :premises (@p4525 @p4524)) % 1.12/1.36 (step @p4527 :rule ho_cong :premises (@p3095 @p1207)) % 1.12/1.36 (step @p4528 :rule ho_cong :premises (@p4527 @p1055)) % 1.12/1.36 (step @p4529 :rule cong :premises (@p4528 @p4526) :args ((= (_ (_ tptp.subset @t1413) @t2) @t1796))) % 1.12/1.36 (step @p4530 :rule symm :premises (@p4529)) % 1.12/1.36 (step @p4531 :rule refl :args (@t636)) % 1.12/1.36 (step @p4532 :rule eq_resolve :premises (@p4531 @p4530)) % 1.12/1.36 (step @p4533 :rule ho_cong :premises (@p3095 @p1211)) % 1.12/1.36 (step @p4534 :rule ho_cong :premises (@p4533 @p1055)) % 1.12/1.36 (step @p4535 :rule trans :premises (@p4534 @p4532)) % 1.12/1.36 (step @p4536 :rule nary_cong :premises (@p758 @p4535) :args (@t3411)) % 1.12/1.36 (step @p4537 :rule cong :premises (@p4536) :args ((forall @t46 @t3411))) % 1.12/1.36 (step @p4538 :rule bool-impl-elim :args (@t7 @t636)) % 1.12/1.36 (step @p4539 :rule cong :premises (@p4538) :args (@t637)) % 1.12/1.36 (step @p4540 :rule trans :premises (@p4539 @p4537)) % 1.12/1.36 (step @p4541 :rule refl :args (tptp.singletonsubset)) % 1.12/1.36 (step @p4542 :rule cong :premises (@p4541 @p4540) :args (@t638)) % 1.12/1.36 (step @p4543 :rule eq_resolve :premises (@p138 @p4542)) % 1.12/1.36 (step @p4544 :rule cong :premises (@p4543 @p4523) :args (@t3412)) % 1.12/1.36 (step @p4545 :rule refl :args ((tptp.iskpair @t632))) % 1.12/1.36 (step @p4546 :rule cong :premises (@p1964) :args (@t1798)) % 1.12/1.36 (step @p4547 :rule trans :premises (@p4546 @p4545)) % 1.12/1.36 (step @p4548 :rule refl :args (tptp.iskpair)) % 1.12/1.36 (step @p4549 :rule ho_cong :premises (@p4548 @p1964)) % 1.12/1.36 (step @p4550 :rule cong :premises (@p4549 @p4547) :args ((= (_ tptp.iskpair @t1599) @t1798))) % 1.12/1.36 (step @p4551 :rule symm :premises (@p4550)) % 1.12/1.36 (step @p4552 :rule refl :args (@t633)) % 1.12/1.36 (step @p4553 :rule eq_resolve :premises (@p4552 @p4551)) % 1.12/1.36 (step @p4554 :rule ho_cong :premises (@p4548 @p1976)) % 1.12/1.36 (step @p4555 :rule trans :premises (@p4554 @p4553)) % 1.12/1.36 (step @p4556 :rule cong :premises (@p4555) :args (@t634)) % 1.12/1.36 (step @p4557 :rule refl :args (tptp.kpairp)) % 1.12/1.36 (step @p4558 :rule cong :premises (@p4557 @p4556) :args (@t635)) % 1.12/1.36 (step @p4559 :rule eq_resolve :premises (@p137 @p4558)) % 1.12/1.36 (step @p4560 :rule cong :premises (@p4559 @p4544) :args (@t3413)) % 1.12/1.36 (step @p4561 :rule refl :args ((tptp.iskpair @t620))) % 1.12/1.36 (step @p4562 :rule cong :premises (@p3532) :args (@t1800)) % 1.12/1.36 (step @p4563 :rule trans :premises (@p4562 @p4561)) % 1.12/1.36 (step @p4564 :rule ho_cong :premises (@p4548 @p3532)) % 1.12/1.36 (step @p4565 :rule cong :premises (@p4564 @p4563) :args ((= (_ tptp.iskpair @t1670) @t1800))) % 1.12/1.36 (step @p4566 :rule symm :premises (@p4565)) % 1.12/1.36 (step @p4567 :rule refl :args (@t628)) % 1.12/1.36 (step @p4568 :rule eq_resolve :premises (@p4567 @p4566)) % 1.12/1.36 (step @p4569 :rule ho_cong :premises (@p4548 @p3550)) % 1.12/1.36 (step @p4570 :rule trans :premises (@p4569 @p4568)) % 1.12/1.36 (step @p4571 :rule cong :premises (@p4570) :args (@t629)) % 1.12/1.36 (step @p4572 :rule refl :args (tptp.kpairiskpair)) % 1.12/1.36 (step @p4573 :rule cong :premises (@p4572 @p4571) :args (@t630)) % 1.12/1.36 (step @p4574 :rule eq_resolve :premises (@p136 @p4573)) % 1.12/1.36 (step @p4575 :rule cong :premises (@p4574 @p4560) :args (@t3414)) % 1.12/1.36 (step @p4576 :rule refl :args ((tptp.in @t19 @t621))) % 1.12/1.36 (step @p4577 :rule refl :args ((tptp.setunion @t620))) % 1.12/1.36 (step @p4578 :rule cong :premises (@p3532) :args (@t1802)) % 1.12/1.36 (step @p4579 :rule trans :premises (@p4578 @p4577)) % 1.12/1.36 (step @p4580 :rule cong :premises (@p863 @p4579) :args (@t1803)) % 1.12/1.36 (step @p4581 :rule trans :premises (@p4580 @p4576)) % 1.12/1.36 (step @p4582 :rule ho_cong :premises (@p1500 @p4579)) % 1.12/1.36 (step @p4583 :rule cong :premises (@p4582 @p4581) :args ((= (_ @t20 @t1802) @t1803))) % 1.12/1.36 (step @p4584 :rule symm :premises (@p4583)) % 1.12/1.36 (step @p4585 :rule refl :args (@t625)) % 1.12/1.36 (step @p4586 :rule eq_resolve :premises (@p4585 @p4584)) % 1.12/1.36 (step @p4587 :rule ho_cong :premises (@p2896 @p3532)) % 1.12/1.36 (step @p4588 :rule cong :premises (@p4587 @p4579) :args ((= (_ tptp.setunion @t1670) @t1802))) % 1.12/1.36 (step @p4589 :rule symm :premises (@p4588)) % 1.12/1.36 (step @p4590 :rule refl :args (@t621)) % 1.12/1.36 (step @p4591 :rule eq_resolve :premises (@p4590 @p4589)) % 1.12/1.36 (step @p4592 :rule ho_cong :premises (@p2896 @p3550)) % 1.12/1.36 (step @p4593 :rule trans :premises (@p4592 @p4591)) % 1.12/1.36 (step @p4594 :rule ho_cong :premises (@p1500 @p4593)) % 1.12/1.36 (step @p4595 :rule trans :premises (@p4594 @p4586)) % 1.12/1.36 (step @p4596 :rule cong :premises (@p4595) :args (@t626)) % 1.12/1.36 (step @p4597 :rule refl :args (tptp.setukpairIR)) % 1.12/1.36 (step @p4598 :rule cong :premises (@p4597 @p4596) :args (@t627)) % 1.12/1.36 (step @p4599 :rule eq_resolve :premises (@p135 @p4598)) % 1.12/1.36 (step @p4600 :rule cong :premises (@p4599 @p4575) :args (@t3415)) % 1.12/1.36 (step @p4601 :rule refl :args ((tptp.in @t4 @t621))) % 1.12/1.36 (step @p4602 :rule cong :premises (@p768 @p4579) :args (@t1805)) % 1.12/1.36 (step @p4603 :rule trans :premises (@p4602 @p4601)) % 1.12/1.36 (step @p4604 :rule ho_cong :premises (@p1305 @p4579)) % 1.12/1.36 (step @p4605 :rule cong :premises (@p4604 @p4603) :args ((= (_ @t5 @t1802) @t1805))) % 1.12/1.36 (step @p4606 :rule symm :premises (@p4605)) % 1.12/1.36 (step @p4607 :rule refl :args (@t622)) % 1.12/1.36 (step @p4608 :rule eq_resolve :premises (@p4607 @p4606)) % 1.12/1.36 (step @p4609 :rule ho_cong :premises (@p1305 @p4593)) % 1.12/1.36 (step @p4610 :rule trans :premises (@p4609 @p4608)) % 1.12/1.36 (step @p4611 :rule cong :premises (@p4610) :args (@t623)) % 1.12/1.36 (step @p4612 :rule refl :args (tptp.setukpairIL)) % 1.12/1.36 (step @p4613 :rule cong :premises (@p4612 @p4611) :args (@t624)) % 1.12/1.36 (step @p4614 :rule eq_resolve :premises (@p134 @p4613)) % 1.12/1.36 (step @p4615 :rule cong :premises (@p4614 @p4600) :args (@t3416)) % 1.12/1.36 (step @p4616 :rule eq-symm :args (@t1808 tptp.secondinupair)) % 1.12/1.36 (step @p4617 :rule refl :args (tptp.secondinupair)) % 1.12/1.36 (step @p4618 :rule refl :args ((tptp.in @t19 @t293))) % 1.12/1.36 (step @p4619 :rule cong :premises (@p863 @p770) :args (@t1807)) % 1.12/1.36 (step @p4620 :rule trans :premises (@p4619 @p4618)) % 1.12/1.36 (step @p4621 :rule ho_cong :premises (@p1500 @p770)) % 1.12/1.36 (step @p4622 :rule cong :premises (@p4621 @p4620) :args ((= (_ @t20 @t1668) @t1807))) % 1.12/1.36 (step @p4623 :rule symm :premises (@p4622)) % 1.12/1.36 (step @p4624 :rule refl :args (@t303)) % 1.12/1.36 (step @p4625 :rule eq_resolve :premises (@p4624 @p4623)) % 1.12/1.36 (step @p4626 :rule ho_cong :premises (@p1500 @p792)) % 1.12/1.36 (step @p4627 :rule trans :premises (@p4626 @p4625)) % 1.12/1.36 (step @p4628 :rule cong :premises (@p4627) :args (@t304)) % 1.12/1.36 (step @p4629 :rule cong :premises (@p4628 @p4617) :args ((= @t304 tptp.secondinupair))) % 1.12/1.36 (step @p4630 :rule trans :premises (@p4629 @p4616)) % 1.12/1.36 (step @p4631 :rule eq-symm :args (tptp.secondinupair @t304)) % 1.12/1.36 (step @p4632 :rule trans :premises (@p4631 @p4630)) % 1.12/1.36 (step @p4633 :rule eq_resolve :premises (@p133 @p4632)) % 1.12/1.36 (step @p4634 :rule cong :premises (@p4633 @p4615) :args (@t3417)) % 1.12/1.36 (step @p4635 :rule refl :args ((tptp.in @t4 @t600))) % 1.12/1.36 (step @p4636 :rule refl :args (@t1809)) % 1.12/1.36 (step @p4637 :rule cong :premises (@p768 @p4636) :args (@t1810)) % 1.12/1.36 (step @p4638 :rule trans :premises (@p4637 @p4635)) % 1.12/1.36 (step @p4639 :rule ho_cong :premises (@p1305 @p4636)) % 1.12/1.36 (step @p4640 :rule cong :premises (@p4639 @p4638) :args ((= (_ @t5 @t1809) @t1810))) % 1.12/1.36 (step @p4641 :rule symm :premises (@p4640)) % 1.12/1.36 (step @p4642 :rule refl :args (@t601)) % 1.12/1.36 (step @p4643 :rule eq_resolve :premises (@p4642 @p4641)) % 1.12/1.36 (step @p4644 :rule refl :args (@t600)) % 1.12/1.36 (step @p4645 :rule cong :premises (@p4644 @p4636) :args ((= @t600 @t1809))) % 1.12/1.36 (step @p4646 :rule symm :premises (@p4645)) % 1.12/1.36 (step @p4647 :rule eq_resolve :premises (@p4644 @p4646)) % 1.12/1.36 (step @p4648 :rule ho_cong :premises (@p1305 @p4647)) % 1.12/1.36 (step @p4649 :rule trans :premises (@p4648 @p4643)) % 1.12/1.36 (step @p4650 :rule cong :premises (@p4649) :args (@t611)) % 1.12/1.36 (step @p4651 :rule refl :args (@t1812)) % 1.12/1.36 (step @p4652 :rule refl :args (@t6)) % 1.12/1.36 (step @p4653 :rule cong :premises (@p4652 @p4651) :args ((= @t6 @t1812))) % 1.12/1.36 (step @p4654 :rule symm :premises (@p4653)) % 1.12/1.36 (step @p4655 :rule eq_resolve :premises (@p4652 @p4654)) % 1.12/1.36 (step @p4656 :rule nary_cong :premises (@p757 @p4655 @p4650) :args (@t3418)) % 1.12/1.36 (step @p4657 :rule cong :premises (@p4656) :args ((forall @t245 @t3418))) % 1.12/1.36 (step @p4658 :rule aci_norm :args ((= (or @t7 (or @t6 @t611)) @t3418))) % 1.12/1.36 (step @p4659 :rule refl :args (@t611)) % 1.12/1.36 (step @p4660 :rule bool-double-not-elim :args (@t6)) % 1.12/1.36 (step @p4661 :rule nary_cong :premises (@p4660 @p4659) :args ((or @t3419 @t611))) % 1.12/1.36 (step @p4662 :rule bool-impl-elim :args (@t437 @t611)) % 1.12/1.36 (step @p4663 :rule trans :premises (@p4662 @p4661)) % 1.12/1.36 (step @p4664 :rule nary_cong :premises (@p754 @p4663) :args ((or @t7 @t615))) % 1.12/1.36 (step @p4665 :rule trans :premises (@p4664 @p4658)) % 1.12/1.36 (step @p4666 :rule refl :args (@t615)) % 1.12/1.36 (step @p4667 :rule bool-double-not-elim :args (@t7)) % 1.12/1.36 (step @p4668 :rule nary_cong :premises (@p4667 @p4666) :args ((or @t3420 @t615))) % 1.12/1.36 (step @p4669 :rule bool-impl-elim :args (@t197 @t615)) % 1.12/1.36 (step @p4670 :rule trans :premises (@p4669 @p4668)) % 1.12/1.36 (step @p4671 :rule trans :premises (@p4670 @p4665)) % 1.12/1.36 (step @p4672 :rule cong :premises (@p4671) :args (@t616)) % 1.12/1.36 (step @p4673 :rule trans :premises (@p4672 @p4657)) % 1.12/1.36 (step @p4674 :rule refl :args (tptp.symdiffIneg2)) % 1.12/1.36 (step @p4675 :rule cong :premises (@p4674 @p4673) :args (@t617)) % 1.12/1.36 (step @p4676 :rule eq_resolve :premises (@p132 @p4675)) % 1.12/1.36 (step @p4677 :rule cong :premises (@p4676 @p4634) :args (@t3421)) % 1.12/1.36 (step @p4678 :rule cong :premises (@p4655) :args (@t437)) % 1.12/1.36 (step @p4679 :rule nary_cong :premises (@p758 @p4678 @p4650) :args (@t3422)) % 1.12/1.36 (step @p4680 :rule cong :premises (@p4679) :args ((forall @t245 @t3422))) % 1.12/1.36 (step @p4681 :rule aci_norm :args ((= (or @t197 (or @t437 @t611)) @t3422))) % 1.12/1.36 (step @p4682 :rule bool-impl-elim :args (@t6 @t611)) % 1.12/1.36 (step @p4683 :rule nary_cong :premises (@p3929 @p4682) :args ((or @t197 @t612))) % 1.12/1.36 (step @p4684 :rule trans :premises (@p4683 @p4681)) % 1.12/1.36 (step @p4685 :rule bool-impl-elim :args (@t7 @t612)) % 1.12/1.36 (step @p4686 :rule trans :premises (@p4685 @p4684)) % 1.12/1.36 (step @p4687 :rule cong :premises (@p4686) :args (@t613)) % 1.12/1.36 (step @p4688 :rule trans :premises (@p4687 @p4680)) % 1.12/1.36 (step @p4689 :rule refl :args (tptp.symdiffIneg1)) % 1.12/1.36 (step @p4690 :rule cong :premises (@p4689 @p4688) :args (@t614)) % 1.12/1.36 (step @p4691 :rule eq_resolve :premises (@p131 @p4690)) % 1.12/1.36 (step @p4692 :rule cong :premises (@p4691 @p4677) :args (@t3423)) % 1.12/1.36 (step @p4693 :rule nary_cong :premises (@p757 @p4678 @p4649) :args (@t3424)) % 1.12/1.36 (step @p4694 :rule cong :premises (@p4693) :args ((forall @t245 @t3424))) % 1.12/1.36 (step @p4695 :rule aci_norm :args ((= (or @t7 (or @t437 @t601)) @t3424))) % 1.12/1.36 (step @p4696 :rule bool-impl-elim :args (@t6 @t601)) % 1.12/1.36 (step @p4697 :rule nary_cong :premises (@p754 @p4696) :args ((or @t7 @t608))) % 1.12/1.36 (step @p4698 :rule trans :premises (@p4697 @p4695)) % 1.12/1.36 (step @p4699 :rule refl :args (@t608)) % 1.12/1.36 (step @p4700 :rule nary_cong :premises (@p4667 @p4699) :args ((or @t3420 @t608))) % 1.12/1.36 (step @p4701 :rule bool-impl-elim :args (@t197 @t608)) % 1.12/1.36 (step @p4702 :rule trans :premises (@p4701 @p4700)) % 1.12/1.36 (step @p4703 :rule trans :premises (@p4702 @p4698)) % 1.12/1.36 (step @p4704 :rule cong :premises (@p4703) :args (@t609)) % 1.12/1.36 (step @p4705 :rule trans :premises (@p4704 @p4694)) % 1.12/1.36 (step @p4706 :rule refl :args (tptp.symdiffI2)) % 1.12/1.36 (step @p4707 :rule cong :premises (@p4706 @p4705) :args (@t610)) % 1.12/1.36 (step @p4708 :rule eq_resolve :premises (@p130 @p4707)) % 1.12/1.36 (step @p4709 :rule cong :premises (@p4708 @p4692) :args (@t3425)) % 1.12/1.36 (step @p4710 :rule nary_cong :premises (@p758 @p4655 @p4649) :args (@t3426)) % 1.12/1.36 (step @p4711 :rule cong :premises (@p4710) :args ((forall @t245 @t3426))) % 1.12/1.36 (step @p4712 :rule aci_norm :args ((= (or @t197 (or @t6 @t601)) @t3426))) % 1.12/1.36 (step @p4713 :rule nary_cong :premises (@p4660 @p4642) :args ((or @t3419 @t601))) % 1.12/1.36 (step @p4714 :rule bool-impl-elim :args (@t437 @t601)) % 1.12/1.36 (step @p4715 :rule trans :premises (@p4714 @p4713)) % 1.12/1.36 (step @p4716 :rule nary_cong :premises (@p3929 @p4715) :args ((or @t197 @t605))) % 1.12/1.36 (step @p4717 :rule trans :premises (@p4716 @p4712)) % 1.12/1.36 (step @p4718 :rule bool-impl-elim :args (@t7 @t605)) % 1.12/1.36 (step @p4719 :rule trans :premises (@p4718 @p4717)) % 1.12/1.36 (step @p4720 :rule cong :premises (@p4719) :args (@t606)) % 1.12/1.36 (step @p4721 :rule trans :premises (@p4720 @p4711)) % 1.12/1.36 (step @p4722 :rule refl :args (tptp.symdiffI1)) % 1.12/1.36 (step @p4723 :rule cong :premises (@p4722 @p4721) :args (@t607)) % 1.12/1.36 (step @p4724 :rule eq_resolve :premises (@p129 @p4723)) % 1.12/1.36 (step @p4725 :rule cong :premises (@p4724 @p4709) :args (@t3427)) % 1.12/1.36 (step @p4726 :rule refl :args (@t1818)) % 1.12/1.36 (step @p4727 :rule refl :args (@t1819)) % 1.12/1.36 (step @p4728 :rule nary_cong :premises (@p4650 @p4727 @p4726) :args (@t3428)) % 1.12/1.36 (step @p4729 :rule cong :premises (@p4728) :args ((forall @t245 @t3428))) % 1.12/1.36 (step @p4730 :rule aci_norm :args ((= (or @t611 @t3429) @t3428))) % 1.12/1.36 (step @p4731 :rule bool-impl-elim :args (@t601 @t3429)) % 1.12/1.36 (step @p4732 :rule trans :premises (@p4731 @p4730)) % 1.12/1.36 (step @p4733 :rule cong :premises (@p4732) :args ((forall @t245 (=> @t601 @t3429)))) % 1.12/1.36 (step @p4734 :rule trans :premises (@p4733 @p4729)) % 1.12/1.36 (step @p4735 :rule aci_norm :args ((= (and @t1384 @t1812 true) @t1818))) % 1.12/1.36 (step @p4736 :rule refl :args (@t1812)) % 1.12/1.36 (step @p4737 :rule nary_cong :premises (@p904 @p4736 @p1345) :args (@t3430)) % 1.12/1.36 (step @p4738 :rule trans :premises (@p4737 @p4735)) % 1.12/1.36 (step @p4739 :rule aci_norm :args ((= (and @t1383 @t1814 true) @t1819))) % 1.12/1.36 (step @p4740 :rule refl :args (@t1814)) % 1.12/1.36 (step @p4741 :rule nary_cong :premises (@p3032 @p4740 @p1345) :args (@t3431)) % 1.12/1.36 (step @p4742 :rule trans :premises (@p4741 @p4739)) % 1.12/1.36 (step @p4743 :rule nary_cong :premises (@p4742 @p4738) :args (@t3432)) % 1.12/1.36 (step @p4744 :rule aci_norm :args ((= @t3433 @t3432))) % 1.12/1.36 (step @p4745 :rule trans :premises (@p4744 @p4743)) % 1.12/1.36 (step @p4746 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t3435 @t3434 @t173)) @t3433))) % 1.12/1.36 (step @p4747 :rule refl :args (@t3434)) % 1.12/1.36 (step @p4748 :rule refl :args (@t3435)) % 1.12/1.36 (step @p4749 :rule nary_cong :premises (@p830 @p4748 @p4747 @p824) :args (@t3436)) % 1.12/1.36 (step @p4750 :rule aci_norm :args ((= @t3437 @t3436))) % 1.12/1.36 (step @p4751 :rule trans :premises (@p4750 @p4749)) % 1.12/1.36 (step @p4752 :rule cong :premises (@p4751) :args ((forall @t179 @t3437))) % 1.12/1.36 (step @p4753 :rule trans :premises (@p4752 @p4746)) % 1.12/1.36 (step @p4754 :rule trans :premises (@p4753 @p4745)) % 1.12/1.36 (step @p4755 :rule nary_cong :premises (@p758 @p4655 @p911) :args (@t3438)) % 1.12/1.36 (step @p4756 :rule nary_cong :premises (@p757 @p4678 @p911) :args (@t3439)) % 1.12/1.36 (step @p4757 :rule nary_cong :premises (@p4756 @p4755 @p824) :args (@t3440)) % 1.12/1.36 (step @p4758 :rule cong :premises (@p4757) :args ((forall @t179 @t3440))) % 1.12/1.36 (step @p4759 :rule trans :premises (@p4758 @p4754)) % 1.12/1.36 (step @p4760 :rule aci_norm :args ((= (or @t3439 (or @t3438 @t173)) @t3440))) % 1.12/1.36 (step @p4761 :rule aci_norm :args ((= (and @t197 @t3441) @t3438))) % 1.12/1.36 (step @p4762 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.12/1.36 (step @p4763 :rule nary_cong :premises (@p3929 @p4762) :args ((and @t197 @t3442))) % 1.12/1.36 (step @p4764 :rule trans :premises (@p4763 @p4761)) % 1.12/1.36 (step @p4765 :rule bool-implies-de-morgan :args (@t197 @t500)) % 1.12/1.36 (step @p4766 :rule trans :premises (@p4765 @p4764)) % 1.12/1.36 (step @p4767 :rule nary_cong :premises (@p4766 @p824) :args ((or (not @t595) @t173))) % 1.12/1.36 (step @p4768 :rule bool-impl-elim :args (@t595 @t173)) % 1.12/1.36 (step @p4769 :rule trans :premises (@p4768 @p4767)) % 1.12/1.36 (step @p4770 :rule aci_norm :args ((= (and @t7 (and @t437 @t1060)) @t3439))) % 1.12/1.36 (step @p4771 :rule bool-implies-de-morgan :args (@t437 @t173)) % 1.12/1.36 (step @p4772 :rule nary_cong :premises (@p754 @p4771) :args ((and @t7 (not @t597)))) % 1.12/1.36 (step @p4773 :rule trans :premises (@p4772 @p4770)) % 1.12/1.36 (step @p4774 :rule bool-implies-de-morgan :args (@t7 @t597)) % 1.12/1.36 (step @p4775 :rule trans :premises (@p4774 @p4773)) % 1.12/1.36 (step @p4776 :rule nary_cong :premises (@p4775 @p4769) :args ((or (not @t598) @t596))) % 1.12/1.36 (step @p4777 :rule trans :premises (@p4776 @p4760)) % 1.12/1.36 (step @p4778 :rule bool-impl-elim :args (@t598 @t596)) % 1.12/1.36 (step @p4779 :rule trans :premises (@p4778 @p4777)) % 1.12/1.36 (step @p4780 :rule cong :premises (@p4779) :args (@t599)) % 1.12/1.36 (step @p4781 :rule trans :premises (@p4780 @p4759)) % 1.12/1.36 (step @p4782 :rule refl :args (@t601)) % 1.12/1.36 (step @p4783 :rule cong :premises (@p4782 @p4781) :args (@t602)) % 1.12/1.36 (step @p4784 :rule cong :premises (@p4783) :args (@t603)) % 1.12/1.36 (step @p4785 :rule trans :premises (@p4784 @p4734)) % 1.12/1.36 (step @p4786 :rule refl :args (tptp.symdiffE)) % 1.12/1.36 (step @p4787 :rule cong :premises (@p4786 @p4785) :args (@t604)) % 1.12/1.36 (step @p4788 :rule eq_resolve :premises (@p128 @p4787)) % 1.12/1.36 (step @p4789 :rule cong :premises (@p4788 @p4725) :args (@t3443)) % 1.12/1.36 (step @p4790 :rule refl :args (@t1821)) % 1.12/1.36 (step @p4791 :rule refl :args (@t422)) % 1.12/1.36 (step @p4792 :rule cong :premises (@p4791 @p4790) :args ((= @t422 @t1821))) % 1.12/1.36 (step @p4793 :rule symm :premises (@p4792)) % 1.12/1.36 (step @p4794 :rule eq_resolve :premises (@p4791 @p4793)) % 1.12/1.36 (step @p4795 :rule refl :args (@t1822)) % 1.12/1.36 (step @p4796 :rule refl :args (@t567)) % 1.12/1.36 (step @p4797 :rule cong :premises (@p4796 @p4795) :args ((= @t567 @t1822))) % 1.12/1.36 (step @p4798 :rule symm :premises (@p4797)) % 1.12/1.36 (step @p4799 :rule eq_resolve :premises (@p4796 @p4798)) % 1.12/1.36 (step @p4800 :rule cong :premises (@p286 @p4799) :args (@t3444)) % 1.12/1.36 (step @p4801 :rule cong :premises (@p4800) :args (@t3445)) % 1.12/1.36 (step @p4802 :rule nary_cong :premises (@p4801 @p4794) :args (@t3446)) % 1.12/1.36 (step @p4803 :rule cong :premises (@p4802) :args ((forall @t12 @t3446))) % 1.12/1.36 (step @p4804 :rule bool-impl-elim :args (@t3444 @t422)) % 1.12/1.36 (step @p4805 :rule cong :premises (@p4804) :args ((forall @t12 (=> @t3444 @t422)))) % 1.12/1.36 (step @p4806 :rule trans :premises (@p4805 @p4803)) % 1.12/1.36 (step @p4807 :rule refl :args (@t422)) % 1.12/1.36 (step @p4808 :rule eq-symm :args (@t567 tptp.emptyset)) % 1.12/1.36 (step @p4809 :rule cong :premises (@p4808 @p4807) :args (@t592)) % 1.12/1.36 (step @p4810 :rule cong :premises (@p4809) :args (@t593)) % 1.12/1.36 (step @p4811 :rule trans :premises (@p4810 @p4806)) % 1.12/1.36 (step @p4812 :rule refl :args (tptp.setminusSubset1)) % 1.12/1.36 (step @p4813 :rule cong :premises (@p4812 @p4811) :args (@t594)) % 1.12/1.36 (step @p4814 :rule eq_resolve :premises (@p127 @p4813)) % 1.12/1.36 (step @p4815 :rule cong :premises (@p4814 @p4789) :args (@t3447)) % 1.12/1.36 (step @p4816 :rule refl :args ((tptp.subset @t567 @t2))) % 1.12/1.36 (step @p4817 :rule cong :premises (@p4795 @p1055) :args (@t1825)) % 1.12/1.36 (step @p4818 :rule trans :premises (@p4817 @p4816)) % 1.12/1.36 (step @p4819 :rule ho_cong :premises (@p3095 @p4795)) % 1.12/1.36 (step @p4820 :rule ho_cong :premises (@p4819 @p1055)) % 1.12/1.36 (step @p4821 :rule cong :premises (@p4820 @p4818) :args ((= (_ (_ tptp.subset @t1822) @t2) @t1825))) % 1.12/1.36 (step @p4822 :rule symm :premises (@p4821)) % 1.12/1.36 (step @p4823 :rule refl :args (@t589)) % 1.12/1.36 (step @p4824 :rule eq_resolve :premises (@p4823 @p4822)) % 1.12/1.36 (step @p4825 :rule ho_cong :premises (@p3095 @p4799)) % 1.12/1.36 (step @p4826 :rule ho_cong :premises (@p4825 @p1055)) % 1.12/1.36 (step @p4827 :rule trans :premises (@p4826 @p4824)) % 1.12/1.36 (step @p4828 :rule cong :premises (@p4827) :args (@t590)) % 1.12/1.36 (step @p4829 :rule refl :args (tptp.setminusLsub)) % 1.12/1.36 (step @p4830 :rule cong :premises (@p4829 @p4828) :args (@t591)) % 1.12/1.36 (step @p4831 :rule eq_resolve :premises (@p126 @p4830)) % 1.12/1.36 (step @p4832 :rule cong :premises (@p4831 @p4815) :args (@t3448)) % 1.12/1.36 (step @p4833 :rule refl :args ((tptp.in @t4 @t567))) % 1.12/1.36 (step @p4834 :rule cong :premises (@p768 @p4795) :args (@t1827)) % 1.12/1.36 (step @p4835 :rule trans :premises (@p4834 @p4833)) % 1.12/1.36 (step @p4836 :rule ho_cong :premises (@p1305 @p4795)) % 1.12/1.36 (step @p4837 :rule cong :premises (@p4836 @p4835) :args ((= (_ @t5 @t1822) @t1827))) % 1.12/1.36 (step @p4838 :rule symm :premises (@p4837)) % 1.12/1.36 (step @p4839 :rule refl :args (@t568)) % 1.12/1.36 (step @p4840 :rule eq_resolve :premises (@p4839 @p4838)) % 1.12/1.36 (step @p4841 :rule ho_cong :premises (@p1305 @p4799)) % 1.12/1.36 (step @p4842 :rule trans :premises (@p4841 @p4840)) % 1.12/1.36 (step @p4843 :rule cong :premises (@p4842) :args (@t580)) % 1.12/1.36 (step @p4844 :rule nary_cong :premises (@p4678 @p4843) :args (@t3449)) % 1.12/1.36 (step @p4845 :rule cong :premises (@p4844) :args ((forall @t245 @t3449))) % 1.12/1.36 (step @p4846 :rule bool-impl-elim :args (@t6 @t580)) % 1.12/1.36 (step @p4847 :rule cong :premises (@p4846) :args (@t587)) % 1.12/1.36 (step @p4848 :rule trans :premises (@p4847 @p4845)) % 1.12/1.36 (step @p4849 :rule refl :args (tptp.setminusIRneg)) % 1.12/1.36 (step @p4850 :rule cong :premises (@p4849 @p4848) :args (@t588)) % 1.12/1.36 (step @p4851 :rule eq_resolve :premises (@p125 @p4850)) % 1.12/1.36 (step @p4852 :rule cong :premises (@p4851 @p4832) :args (@t3450)) % 1.12/1.36 (step @p4853 :rule nary_cong :premises (@p757 @p4843) :args (@t3451)) % 1.12/1.36 (step @p4854 :rule cong :premises (@p4853) :args ((forall @t245 @t3451))) % 1.12/1.36 (step @p4855 :rule refl :args (@t580)) % 1.12/1.36 (step @p4856 :rule nary_cong :premises (@p4667 @p4855) :args ((or @t3420 @t580))) % 1.12/1.36 (step @p4857 :rule bool-impl-elim :args (@t197 @t580)) % 1.12/1.36 (step @p4858 :rule trans :premises (@p4857 @p4856)) % 1.12/1.36 (step @p4859 :rule cong :premises (@p4858) :args (@t585)) % 1.12/1.36 (step @p4860 :rule trans :premises (@p4859 @p4854)) % 1.12/1.36 (step @p4861 :rule refl :args (tptp.setminusILneg)) % 1.12/1.36 (step @p4862 :rule cong :premises (@p4861 @p4860) :args (@t586)) % 1.12/1.36 (step @p4863 :rule eq_resolve :premises (@p124 @p4862)) % 1.12/1.36 (step @p4864 :rule cong :premises (@p4863 @p4852) :args (@t3452)) % 1.12/1.36 (step @p4865 :rule nary_cong :premises (@p4842 @p4655 @p758) :args (@t3453)) % 1.12/1.36 (step @p4866 :rule cong :premises (@p4865) :args ((forall @t245 @t3453))) % 1.12/1.36 (step @p4867 :rule aci_norm :args ((= (or @t568 @t3454) @t3453))) % 1.12/1.36 (step @p4868 :rule nary_cong :premises (@p4660 @p3929) :args ((or @t3419 @t197))) % 1.12/1.36 (step @p4869 :rule bool-impl-elim :args (@t437 @t197)) % 1.12/1.36 (step @p4870 :rule trans :premises (@p4869 @p4868)) % 1.12/1.36 (step @p4871 :rule nary_cong :premises (@p4839 @p4870) :args ((or @t568 @t438))) % 1.12/1.36 (step @p4872 :rule trans :premises (@p4871 @p4867)) % 1.12/1.36 (step @p4873 :rule refl :args (@t438)) % 1.12/1.36 (step @p4874 :rule bool-double-not-elim :args (@t568)) % 1.12/1.36 (step @p4875 :rule nary_cong :premises (@p4874 @p4873) :args ((or @t3455 @t438))) % 1.12/1.36 (step @p4876 :rule bool-impl-elim :args (@t580 @t438)) % 1.12/1.36 (step @p4877 :rule trans :premises (@p4876 @p4875)) % 1.12/1.36 (step @p4878 :rule trans :premises (@p4877 @p4872)) % 1.12/1.36 (step @p4879 :rule cong :premises (@p4878) :args (@t583)) % 1.12/1.36 (step @p4880 :rule trans :premises (@p4879 @p4866)) % 1.12/1.36 (step @p4881 :rule refl :args (tptp.setminusELneg)) % 1.12/1.36 (step @p4882 :rule cong :premises (@p4881 @p4880) :args (@t584)) % 1.12/1.36 (step @p4883 :rule eq_resolve :premises (@p123 @p4882)) % 1.12/1.36 (step @p4884 :rule cong :premises (@p4883 @p4864) :args (@t3456)) % 1.12/1.36 (step @p4885 :rule nary_cong :premises (@p4842 @p758 @p4655) :args (@t3457)) % 1.12/1.36 (step @p4886 :rule cong :premises (@p4885) :args ((forall @t245 @t3457))) % 1.12/1.36 (step @p4887 :rule aci_norm :args ((= (or @t568 @t3458) @t3457))) % 1.12/1.36 (step @p4888 :rule bool-impl-elim :args (@t7 @t6)) % 1.12/1.36 (step @p4889 :rule nary_cong :premises (@p4839 @p4888) :args ((or @t568 @t191))) % 1.12/1.36 (step @p4890 :rule trans :premises (@p4889 @p4887)) % 1.12/1.36 (step @p4891 :rule refl :args (@t191)) % 1.12/1.36 (step @p4892 :rule nary_cong :premises (@p4874 @p4891) :args ((or @t3455 @t191))) % 1.12/1.36 (step @p4893 :rule bool-impl-elim :args (@t580 @t191)) % 1.12/1.36 (step @p4894 :rule trans :premises (@p4893 @p4892)) % 1.12/1.36 (step @p4895 :rule trans :premises (@p4894 @p4890)) % 1.12/1.36 (step @p4896 :rule cong :premises (@p4895) :args (@t581)) % 1.12/1.36 (step @p4897 :rule trans :premises (@p4896 @p4886)) % 1.12/1.36 (step @p4898 :rule refl :args (tptp.setminusERneg)) % 1.12/1.36 (step @p4899 :rule cong :premises (@p4898 @p4897) :args (@t582)) % 1.12/1.36 (step @p4900 :rule eq_resolve :premises (@p122 @p4899)) % 1.12/1.36 (step @p4901 :rule cong :premises (@p4900 @p4884) :args (@t3459)) % 1.12/1.36 (step @p4902 :rule cong :premises (@p4794) :args (@t441)) % 1.12/1.36 (step @p4903 :rule nary_cong :premises (@p4902 @p4800) :args (@t3460)) % 1.12/1.36 (step @p4904 :rule cong :premises (@p4903) :args ((forall @t12 @t3460))) % 1.12/1.36 (step @p4905 :rule bool-impl-elim :args (@t422 @t3444)) % 1.12/1.36 (step @p4906 :rule cong :premises (@p4905) :args ((forall @t12 (=> @t422 @t3444)))) % 1.12/1.36 (step @p4907 :rule trans :premises (@p4906 @p4904)) % 1.12/1.36 (step @p4908 :rule cong :premises (@p4807 @p4808) :args (@t577)) % 1.12/1.36 (step @p4909 :rule cong :premises (@p4908) :args (@t578)) % 1.12/1.36 (step @p4910 :rule trans :premises (@p4909 @p4907)) % 1.12/1.36 (step @p4911 :rule refl :args (tptp.setminusSubset2)) % 1.12/1.36 (step @p4912 :rule cong :premises (@p4911 @p4910) :args (@t579)) % 1.12/1.36 (step @p4913 :rule eq_resolve :premises (@p121 @p4912)) % 1.12/1.36 (step @p4914 :rule cong :premises (@p4913 @p4901) :args (@t3461)) % 1.12/1.36 (step @p4915 :rule nary_cong :premises (@p4843 @p4678) :args (@t3462)) % 1.12/1.36 (step @p4916 :rule cong :premises (@p4915) :args ((forall @t245 @t3462))) % 1.12/1.36 (step @p4917 :rule bool-impl-elim :args (@t568 @t437)) % 1.12/1.36 (step @p4918 :rule cong :premises (@p4917) :args (@t574)) % 1.12/1.36 (step @p4919 :rule trans :premises (@p4918 @p4916)) % 1.12/1.36 (step @p4920 :rule refl :args (tptp.setminusER)) % 1.12/1.36 (step @p4921 :rule cong :premises (@p4920 @p4919) :args (@t575)) % 1.12/1.36 (step @p4922 :rule eq_resolve :premises (@p120 @p4921)) % 1.12/1.36 (step @p4923 :rule cong :premises (@p4922 @p4914) :args (@t3463)) % 1.12/1.36 (step @p4924 :rule nary_cong :premises (@p4843 @p757) :args (@t3464)) % 1.12/1.36 (step @p4925 :rule cong :premises (@p4924) :args ((forall @t245 @t3464))) % 1.12/1.36 (step @p4926 :rule bool-impl-elim :args (@t568 @t7)) % 1.12/1.36 (step @p4927 :rule cong :premises (@p4926) :args (@t572)) % 1.12/1.36 (step @p4928 :rule trans :premises (@p4927 @p4925)) % 1.12/1.36 (step @p4929 :rule refl :args (tptp.setminusEL)) % 1.12/1.36 (step @p4930 :rule cong :premises (@p4929 @p4928) :args (@t573)) % 1.12/1.36 (step @p4931 :rule eq_resolve :premises (@p119 @p4930)) % 1.12/1.36 (step @p4932 :rule cong :premises (@p4931 @p4923) :args (@t3465)) % 1.12/1.36 (step @p4933 :rule nary_cong :premises (@p758 @p4655 @p4842) :args (@t3466)) % 1.12/1.36 (step @p4934 :rule cong :premises (@p4933) :args ((forall @t245 @t3466))) % 1.12/1.36 (step @p4935 :rule aci_norm :args ((= (or @t197 (or @t6 @t568)) @t3466))) % 1.12/1.36 (step @p4936 :rule nary_cong :premises (@p4660 @p4839) :args ((or @t3419 @t568))) % 1.12/1.36 (step @p4937 :rule bool-impl-elim :args (@t437 @t568)) % 1.12/1.36 (step @p4938 :rule trans :premises (@p4937 @p4936)) % 1.12/1.36 (step @p4939 :rule nary_cong :premises (@p3929 @p4938) :args ((or @t197 @t569))) % 1.12/1.36 (step @p4940 :rule trans :premises (@p4939 @p4935)) % 1.12/1.36 (step @p4941 :rule bool-impl-elim :args (@t7 @t569)) % 1.12/1.36 (step @p4942 :rule trans :premises (@p4941 @p4940)) % 1.12/1.36 (step @p4943 :rule cong :premises (@p4942) :args (@t570)) % 1.12/1.36 (step @p4944 :rule trans :premises (@p4943 @p4934)) % 1.12/1.36 (step @p4945 :rule refl :args (tptp.setminusI)) % 1.12/1.36 (step @p4946 :rule cong :premises (@p4945 @p4944) :args (@t571)) % 1.12/1.36 (step @p4947 :rule eq_resolve :premises (@p118 @p4946)) % 1.12/1.36 (step @p4948 :rule cong :premises (@p4947 @p4932) :args (@t3467)) % 1.12/1.36 (step @p4949 :rule refl :args ((tptp.binunion @t517 @t560))) % 1.12/1.36 (step @p4950 :rule refl :args (@t1838)) % 1.12/1.36 (step @p4951 :rule refl :args (@t1839)) % 1.12/1.36 (step @p4952 :rule cong :premises (@p4951 @p4950) :args (@t1840)) % 1.12/1.36 (step @p4953 :rule trans :premises (@p4952 @p4949)) % 1.12/1.36 (step @p4954 :rule refl :args (tptp.binunion)) % 1.12/1.36 (step @p4955 :rule ho_cong :premises (@p4954 @p4951)) % 1.12/1.36 (step @p4956 :rule ho_cong :premises (@p4955 @p4950)) % 1.12/1.36 (step @p4957 :rule cong :premises (@p4956 @p4953) :args ((= (_ (_ tptp.binunion @t1839) @t1838) @t1840))) % 1.12/1.36 (step @p4958 :rule symm :premises (@p4957)) % 1.12/1.36 (step @p4959 :rule refl :args (@t561)) % 1.12/1.36 (step @p4960 :rule eq_resolve :premises (@p4959 @p4958)) % 1.12/1.36 (step @p4961 :rule refl :args (@t560)) % 1.12/1.36 (step @p4962 :rule cong :premises (@p4961 @p4950) :args ((= @t560 @t1838))) % 1.12/1.36 (step @p4963 :rule symm :premises (@p4962)) % 1.12/1.36 (step @p4964 :rule eq_resolve :premises (@p4961 @p4963)) % 1.12/1.36 (step @p4965 :rule refl :args (@t517)) % 1.12/1.36 (step @p4966 :rule cong :premises (@p4965 @p4951) :args ((= @t517 @t1839))) % 1.12/1.36 (step @p4967 :rule symm :premises (@p4966)) % 1.12/1.36 (step @p4968 :rule eq_resolve :premises (@p4965 @p4967)) % 1.12/1.36 (step @p4969 :rule ho_cong :premises (@p4954 @p4968)) % 1.12/1.36 (step @p4970 :rule ho_cong :premises (@p4969 @p4964)) % 1.12/1.36 (step @p4971 :rule trans :premises (@p4970 @p4960)) % 1.12/1.36 (step @p4972 :rule refl :args ((tptp.binintersect @t2 @t562))) % 1.12/1.36 (step @p4973 :rule refl :args (@t1841)) % 1.12/1.36 (step @p4974 :rule cong :premises (@p1055 @p4973) :args (@t1842)) % 1.12/1.36 (step @p4975 :rule trans :premises (@p4974 @p4972)) % 1.12/1.36 (step @p4976 :rule refl :args (@t516)) % 1.12/1.36 (step @p4977 :rule ho_cong :premises (@p4976 @p4973)) % 1.12/1.36 (step @p4978 :rule cong :premises (@p4977 @p4975) :args ((= (_ @t516 @t1841) @t1842))) % 1.12/1.36 (step @p4979 :rule symm :premises (@p4978)) % 1.12/1.36 (step @p4980 :rule refl :args (@t563)) % 1.12/1.36 (step @p4981 :rule eq_resolve :premises (@p4980 @p4979)) % 1.12/1.36 (step @p4982 :rule refl :args (@t562)) % 1.12/1.36 (step @p4983 :rule cong :premises (@p4982 @p4973) :args ((= @t562 @t1841))) % 1.12/1.36 (step @p4984 :rule symm :premises (@p4983)) % 1.12/1.36 (step @p4985 :rule eq_resolve :premises (@p4982 @p4984)) % 1.12/1.36 (step @p4986 :rule ho_cong :premises (@p4976 @p4985)) % 1.12/1.36 (step @p4987 :rule trans :premises (@p4986 @p4981)) % 1.12/1.36 (step @p4988 :rule cong :premises (@p4987 @p4971) :args (@t564)) % 1.12/1.36 (step @p4989 :rule cong :premises (@p4988) :args (@t565)) % 1.12/1.36 (step @p4990 :rule refl :args (tptp.bs114d)) % 1.12/1.36 (step @p4991 :rule cong :premises (@p4990 @p4989) :args (@t566)) % 1.12/1.36 (step @p4992 :rule eq_resolve :premises (@p117 @p4991)) % 1.12/1.36 (step @p4993 :rule cong :premises (@p4992 @p4948) :args (@t3468)) % 1.12/1.36 (step @p4994 :rule cong :premises (@p1055 @p4968) :args (@t3469)) % 1.12/1.36 (step @p4995 :rule cong :premises (@p4994) :args (@t3470)) % 1.12/1.36 (step @p4996 :rule nary_cong :premises (@p4995 @p4794) :args (@t3471)) % 1.12/1.36 (step @p4997 :rule cong :premises (@p4996) :args ((forall @t12 @t3471))) % 1.12/1.36 (step @p4998 :rule bool-impl-elim :args (@t3469 @t422)) % 1.12/1.36 (step @p4999 :rule cong :premises (@p4998) :args ((forall @t12 (=> @t3469 @t422)))) % 1.12/1.36 (step @p5000 :rule trans :premises (@p4999 @p4997)) % 1.12/1.36 (step @p5001 :rule eq-symm :args (@t517 @t2)) % 1.12/1.36 (step @p5002 :rule cong :premises (@p5001 @p4807) :args (@t557)) % 1.12/1.36 (step @p5003 :rule cong :premises (@p5002) :args (@t558)) % 1.12/1.36 (step @p5004 :rule trans :premises (@p5003 @p5000)) % 1.12/1.36 (step @p5005 :rule refl :args (tptp.binintersectSubset1)) % 1.12/1.36 (step @p5006 :rule cong :premises (@p5005 @p5004) :args (@t559)) % 1.12/1.36 (step @p5007 :rule eq_resolve :premises (@p116 @p5006)) % 1.12/1.36 (step @p5008 :rule cong :premises (@p5007 @p4993) :args (@t3472)) % 1.12/1.36 (step @p5009 :rule cong :premises (@p1542 @p4968) :args (@t3473)) % 1.12/1.36 (step @p5010 :rule refl :args (@t1847)) % 1.12/1.36 (step @p5011 :rule refl :args (@t427)) % 1.12/1.36 (step @p5012 :rule cong :premises (@p5011 @p5010) :args ((= @t427 @t1847))) % 1.12/1.36 (step @p5013 :rule symm :premises (@p5012)) % 1.12/1.36 (step @p5014 :rule eq_resolve :premises (@p5011 @p5013)) % 1.12/1.36 (step @p5015 :rule cong :premises (@p5014) :args (@t3474)) % 1.12/1.36 (step @p5016 :rule nary_cong :premises (@p5015 @p5009) :args (@t3475)) % 1.12/1.36 (step @p5017 :rule cong :premises (@p5016) :args ((forall @t12 @t3475))) % 1.12/1.36 (step @p5018 :rule bool-impl-elim :args (@t427 @t3473)) % 1.12/1.36 (step @p5019 :rule cong :premises (@p5018) :args ((forall @t12 (=> @t427 @t3473)))) % 1.12/1.36 (step @p5020 :rule trans :premises (@p5019 @p5017)) % 1.12/1.36 (step @p5021 :rule eq-symm :args (@t517 @t1)) % 1.12/1.36 (step @p5022 :rule refl :args (@t427)) % 1.12/1.36 (step @p5023 :rule cong :premises (@p5022 @p5021) :args (@t554)) % 1.12/1.36 (step @p5024 :rule cong :premises (@p5023) :args (@t555)) % 1.12/1.36 (step @p5025 :rule trans :premises (@p5024 @p5020)) % 1.12/1.36 (step @p5026 :rule refl :args (tptp.binintersectSubset4)) % 1.12/1.36 (step @p5027 :rule cong :premises (@p5026 @p5025) :args (@t556)) % 1.12/1.36 (step @p5028 :rule eq_resolve :premises (@p115 @p5027)) % 1.12/1.36 (step @p5029 :rule cong :premises (@p5028 @p5008) :args (@t3476)) % 1.12/1.36 (step @p5030 :rule refl :args ((tptp.subset @t517 @t1))) % 1.12/1.36 (step @p5031 :rule cong :premises (@p4951 @p1542) :args (@t1850)) % 1.12/1.36 (step @p5032 :rule trans :premises (@p5031 @p5030)) % 1.12/1.36 (step @p5033 :rule ho_cong :premises (@p3095 @p4951)) % 1.12/1.36 (step @p5034 :rule ho_cong :premises (@p5033 @p1542)) % 1.12/1.36 (step @p5035 :rule cong :premises (@p5034 @p5032) :args ((= (_ @t3477 @t1) @t1850))) % 1.12/1.36 (step @p5036 :rule symm :premises (@p5035)) % 1.12/1.36 (step @p5037 :rule refl :args (@t551)) % 1.12/1.36 (step @p5038 :rule eq_resolve :premises (@p5037 @p5036)) % 1.12/1.36 (step @p5039 :rule ho_cong :premises (@p3095 @p4968)) % 1.12/1.36 (step @p5040 :rule ho_cong :premises (@p5039 @p1542)) % 1.12/1.36 (step @p5041 :rule trans :premises (@p5040 @p5038)) % 1.12/1.36 (step @p5042 :rule cong :premises (@p5041) :args (@t552)) % 1.12/1.36 (step @p5043 :rule refl :args (tptp.binintersectRsub)) % 1.12/1.36 (step @p5044 :rule cong :premises (@p5043 @p5042) :args (@t553)) % 1.12/1.36 (step @p5045 :rule eq_resolve :premises (@p114 @p5044)) % 1.12/1.36 (step @p5046 :rule cong :premises (@p5045 @p5029) :args (@t3478)) % 1.12/1.36 (step @p5047 :rule cong :premises (@p286 @p4968) :args (@t3479)) % 1.12/1.36 (step @p5048 :rule refl :args (@t1853)) % 1.12/1.36 (step @p5049 :rule nary_cong :premises (@p5048 @p5047) :args (@t3480)) % 1.12/1.36 (step @p5050 :rule cong :premises (@p5049) :args ((forall @t12 @t3480))) % 1.12/1.36 (step @p5051 :rule bool-impl-elim :args (@t1852 @t3479)) % 1.12/1.36 (step @p5052 :rule cong :premises (@p5051) :args ((forall @t12 (=> @t1852 @t3479)))) % 1.12/1.36 (step @p5053 :rule trans :premises (@p5052 @p5050)) % 1.12/1.36 (step @p5054 :rule eq-symm :args (@t517 tptp.emptyset)) % 1.12/1.36 (step @p5055 :rule bool-double-not-elim :args (@t1852)) % 1.12/1.36 (step @p5056 :rule nary_cong :premises (@p758 @p4678) :args (@t3481)) % 1.12/1.36 (step @p5057 :rule cong :premises (@p5056) :args ((forall @t9 @t3481))) % 1.12/1.36 (step @p5058 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.12/1.36 (step @p5059 :rule cong :premises (@p5058) :args (@t3482)) % 1.12/1.36 (step @p5060 :rule trans :premises (@p5059 @p5057)) % 1.12/1.36 (step @p5061 :rule cong :premises (@p5060) :args (@t3483)) % 1.12/1.36 (step @p5062 :rule exists-elim :args ((= @t546 @t3483))) % 1.12/1.36 (step @p5063 :rule trans :premises (@p5062 @p5061)) % 1.12/1.36 (step @p5064 :rule cong :premises (@p5063) :args (@t547)) % 1.12/1.36 (step @p5065 :rule trans :premises (@p5064 @p5055)) % 1.12/1.36 (step @p5066 :rule cong :premises (@p5065 @p5054) :args (@t548)) % 1.12/1.36 (step @p5067 :rule cong :premises (@p5066) :args (@t549)) % 1.12/1.36 (step @p5068 :rule trans :premises (@p5067 @p5053)) % 1.12/1.36 (step @p5069 :rule refl :args (tptp.disjointsetsI1)) % 1.12/1.36 (step @p5070 :rule cong :premises (@p5069 @p5068) :args (@t550)) % 1.12/1.36 (step @p5071 :rule eq_resolve :premises (@p113 @p5070)) % 1.12/1.36 (step @p5072 :rule cong :premises (@p5071 @p5046) :args (@t3484)) % 1.12/1.36 (step @p5073 :rule refl :args ((tptp.in @t4 @t517))) % 1.12/1.36 (step @p5074 :rule cong :premises (@p768 @p4951) :args (@t1855)) % 1.12/1.36 (step @p5075 :rule trans :premises (@p5074 @p5073)) % 1.12/1.36 (step @p5076 :rule ho_cong :premises (@p1305 @p4951)) % 1.12/1.36 (step @p5077 :rule cong :premises (@p5076 @p5075) :args ((= (_ @t5 @t1839) @t1855))) % 1.12/1.36 (step @p5078 :rule symm :premises (@p5077)) % 1.12/1.36 (step @p5079 :rule refl :args (@t518)) % 1.12/1.36 (step @p5080 :rule eq_resolve :premises (@p5079 @p5078)) % 1.12/1.36 (step @p5081 :rule ho_cong :premises (@p1305 @p4968)) % 1.12/1.36 (step @p5082 :rule trans :premises (@p5081 @p5080)) % 1.12/1.36 (step @p5083 :rule cong :premises (@p5082) :args (@t3485)) % 1.12/1.36 (step @p5084 :rule nary_cong :premises (@p5083 @p4655) :args (@t3486)) % 1.12/1.36 (step @p5085 :rule cong :premises (@p5084) :args ((forall @t245 @t3486))) % 1.12/1.36 (step @p5086 :rule bool-impl-elim :args (@t518 @t6)) % 1.12/1.36 (step @p5087 :rule cong :premises (@p5086) :args (@t543)) % 1.12/1.36 (step @p5088 :rule trans :premises (@p5087 @p5085)) % 1.12/1.36 (step @p5089 :rule refl :args (tptp.binintersectER)) % 1.12/1.36 (step @p5090 :rule cong :premises (@p5089 @p5088) :args (@t544)) % 1.12/1.36 (step @p5091 :rule eq_resolve :premises (@p112 @p5090)) % 1.12/1.36 (step @p5092 :rule cong :premises (@p5091 @p5072) :args (@t3487)) % 1.12/1.36 (step @p5093 :rule cong :premises (@p5009) :args (@t3488)) % 1.12/1.36 (step @p5094 :rule nary_cong :premises (@p5093 @p5014) :args (@t3489)) % 1.12/1.36 (step @p5095 :rule cong :premises (@p5094) :args ((forall @t12 @t3489))) % 1.12/1.36 (step @p5096 :rule bool-impl-elim :args (@t3473 @t427)) % 1.12/1.36 (step @p5097 :rule cong :premises (@p5096) :args ((forall @t12 (=> @t3473 @t427)))) % 1.12/1.36 (step @p5098 :rule trans :premises (@p5097 @p5095)) % 1.12/1.36 (step @p5099 :rule cong :premises (@p5021 @p5022) :args (@t540)) % 1.12/1.36 (step @p5100 :rule cong :premises (@p5099) :args (@t541)) % 1.12/1.36 (step @p5101 :rule trans :premises (@p5100 @p5098)) % 1.12/1.36 (step @p5102 :rule refl :args (tptp.binintersectSubset3)) % 1.12/1.36 (step @p5103 :rule cong :premises (@p5102 @p5101) :args (@t542)) % 1.12/1.36 (step @p5104 :rule eq_resolve :premises (@p111 @p5103)) % 1.12/1.36 (step @p5105 :rule cong :premises (@p5104 @p5092) :args (@t3490)) % 1.12/1.36 (step @p5106 :rule nary_cong :premises (@p4902 @p4994) :args (@t3491)) % 1.12/1.36 (step @p5107 :rule cong :premises (@p5106) :args ((forall @t12 @t3491))) % 1.12/1.36 (step @p5108 :rule bool-impl-elim :args (@t422 @t3469)) % 1.12/1.36 (step @p5109 :rule cong :premises (@p5108) :args ((forall @t12 (=> @t422 @t3469)))) % 1.12/1.36 (step @p5110 :rule trans :premises (@p5109 @p5107)) % 1.12/1.36 (step @p5111 :rule cong :premises (@p4807 @p5001) :args (@t536)) % 1.12/1.36 (step @p5112 :rule cong :premises (@p5111) :args (@t537)) % 1.12/1.36 (step @p5113 :rule trans :premises (@p5112 @p5110)) % 1.12/1.36 (step @p5114 :rule refl :args (tptp.binintersectSubset2)) % 1.12/1.36 (step @p5115 :rule cong :premises (@p5114 @p5113) :args (@t538)) % 1.12/1.36 (step @p5116 :rule eq_resolve :premises (@p110 @p5115)) % 1.12/1.36 (step @p5117 :rule cong :premises (@p5116 @p5105) :args (@t3492)) % 1.12/1.36 (step @p5118 :rule refl :args ((tptp.subset @t517 @t2))) % 1.12/1.36 (step @p5119 :rule cong :premises (@p4951 @p1055) :args (@t1860)) % 1.12/1.36 (step @p5120 :rule trans :premises (@p5119 @p5118)) % 1.12/1.36 (step @p5121 :rule ho_cong :premises (@p5033 @p1055)) % 1.12/1.36 (step @p5122 :rule cong :premises (@p5121 @p5120) :args ((= (_ @t3477 @t2) @t1860))) % 1.12/1.36 (step @p5123 :rule symm :premises (@p5122)) % 1.12/1.36 (step @p5124 :rule refl :args (@t532)) % 1.12/1.36 (step @p5125 :rule eq_resolve :premises (@p5124 @p5123)) % 1.12/1.36 (step @p5126 :rule ho_cong :premises (@p5039 @p1055)) % 1.12/1.36 (step @p5127 :rule trans :premises (@p5126 @p5125)) % 1.12/1.36 (step @p5128 :rule cong :premises (@p5127) :args (@t533)) % 1.12/1.36 (step @p5129 :rule refl :args (tptp.binintersectLsub)) % 1.12/1.36 (step @p5130 :rule cong :premises (@p5129 @p5128) :args (@t534)) % 1.12/1.36 (step @p5131 :rule eq_resolve :premises (@p109 @p5130)) % 1.12/1.36 (step @p5132 :rule cong :premises (@p5131 @p5117) :args (@t3493)) % 1.12/1.36 (step @p5133 :rule nary_cong :premises (@p5083 @p757) :args (@t3494)) % 1.12/1.36 (step @p5134 :rule cong :premises (@p5133) :args ((forall @t245 @t3494))) % 1.12/1.36 (step @p5135 :rule bool-impl-elim :args (@t518 @t7)) % 1.12/1.36 (step @p5136 :rule cong :premises (@p5135) :args (@t529)) % 1.12/1.36 (step @p5137 :rule trans :premises (@p5136 @p5134)) % 1.12/1.36 (step @p5138 :rule refl :args (tptp.binintersectEL)) % 1.12/1.36 (step @p5139 :rule cong :premises (@p5138 @p5137) :args (@t530)) % 1.12/1.36 (step @p5140 :rule eq_resolve :premises (@p108 @p5139)) % 1.12/1.36 (step @p5141 :rule cong :premises (@p5140 @p5132) :args (@t3495)) % 1.12/1.36 (step @p5142 :rule refl :args ((tptp.subset @t104 @t517))) % 1.12/1.36 (step @p5143 :rule refl :args (@t104)) % 1.12/1.36 (step @p5144 :rule cong :premises (@p5143 @p4951) :args (@t1863)) % 1.12/1.36 (step @p5145 :rule trans :premises (@p5144 @p5142)) % 1.12/1.36 (step @p5146 :rule refl :args (@t522)) % 1.12/1.36 (step @p5147 :rule ho_cong :premises (@p5146 @p4951)) % 1.12/1.36 (step @p5148 :rule cong :premises (@p5147 @p5145) :args ((= (_ @t522 @t1839) @t1863))) % 1.12/1.36 (step @p5149 :rule symm :premises (@p5148)) % 1.12/1.36 (step @p5150 :rule refl :args (@t523)) % 1.12/1.36 (step @p5151 :rule eq_resolve :premises (@p5150 @p5149)) % 1.12/1.36 (step @p5152 :rule ho_cong :premises (@p5146 @p4968)) % 1.12/1.36 (step @p5153 :rule trans :premises (@p5152 @p5151)) % 1.12/1.36 (step @p5154 :rule refl :args (@t1864)) % 1.12/1.36 (step @p5155 :rule refl :args (@t524)) % 1.12/1.36 (step @p5156 :rule cong :premises (@p5155 @p5154) :args ((= @t524 @t1864))) % 1.12/1.36 (step @p5157 :rule symm :premises (@p5156)) % 1.12/1.36 (step @p5158 :rule eq_resolve :premises (@p5155 @p5157)) % 1.12/1.36 (step @p5159 :rule cong :premises (@p5158) :args (@t3496)) % 1.12/1.36 (step @p5160 :rule refl :args (@t1865)) % 1.12/1.36 (step @p5161 :rule refl :args (@t526)) % 1.12/1.36 (step @p5162 :rule cong :premises (@p5161 @p5160) :args ((= @t526 @t1865))) % 1.12/1.36 (step @p5163 :rule symm :premises (@p5162)) % 1.12/1.36 (step @p5164 :rule eq_resolve :premises (@p5161 @p5163)) % 1.12/1.36 (step @p5165 :rule cong :premises (@p5164) :args (@t3497)) % 1.12/1.36 (step @p5166 :rule nary_cong :premises (@p5165 @p5159 @p5153) :args (@t3498)) % 1.12/1.36 (step @p5167 :rule cong :premises (@p5166) :args ((forall @t457 @t3498))) % 1.12/1.36 (step @p5168 :rule aci_norm :args ((= (or @t3497 (or @t3496 @t523)) @t3498))) % 1.12/1.36 (step @p5169 :rule bool-impl-elim :args (@t524 @t523)) % 1.12/1.36 (step @p5170 :rule refl :args (@t3497)) % 1.12/1.36 (step @p5171 :rule nary_cong :premises (@p5170 @p5169) :args ((or @t3497 @t525))) % 1.12/1.36 (step @p5172 :rule trans :premises (@p5171 @p5168)) % 1.12/1.36 (step @p5173 :rule bool-impl-elim :args (@t526 @t525)) % 1.12/1.36 (step @p5174 :rule trans :premises (@p5173 @p5172)) % 1.12/1.36 (step @p5175 :rule cong :premises (@p5174) :args (@t527)) % 1.12/1.36 (step @p5176 :rule trans :premises (@p5175 @p5167)) % 1.12/1.36 (step @p5177 :rule refl :args (tptp.binintersectSubset5)) % 1.12/1.36 (step @p5178 :rule cong :premises (@p5177 @p5176) :args (@t528)) % 1.12/1.36 (step @p5179 :rule eq_resolve :premises (@p107 @p5178)) % 1.12/1.36 (step @p5180 :rule cong :premises (@p5179 @p5141) :args (@t3499)) % 1.12/1.36 (step @p5181 :rule nary_cong :premises (@p758 @p4678 @p5082) :args (@t3500)) % 1.12/1.36 (step @p5182 :rule cong :premises (@p5181) :args ((forall @t245 @t3500))) % 1.12/1.36 (step @p5183 :rule aci_norm :args ((= (or @t197 (or @t437 @t518)) @t3500))) % 1.12/1.36 (step @p5184 :rule bool-impl-elim :args (@t6 @t518)) % 1.12/1.36 (step @p5185 :rule nary_cong :premises (@p3929 @p5184) :args ((or @t197 @t519))) % 1.12/1.36 (step @p5186 :rule trans :premises (@p5185 @p5183)) % 1.12/1.36 (step @p5187 :rule bool-impl-elim :args (@t7 @t519)) % 1.12/1.36 (step @p5188 :rule trans :premises (@p5187 @p5186)) % 1.12/1.36 (step @p5189 :rule cong :premises (@p5188) :args (@t520)) % 1.12/1.36 (step @p5190 :rule trans :premises (@p5189 @p5182)) % 1.12/1.36 (step @p5191 :rule refl :args (tptp.binintersectI)) % 1.12/1.36 (step @p5192 :rule cong :premises (@p5191 @p5190) :args (@t521)) % 1.12/1.36 (step @p5193 :rule eq_resolve :premises (@p106 @p5192)) % 1.12/1.36 (step @p5194 :rule cong :premises (@p5193 @p5180) :args (@t3501)) % 1.12/1.36 (step @p5195 :rule refl :args ((tptp.subset @t1 @t494))) % 1.12/1.36 (step @p5196 :rule cong :premises (@p1542 @p4235) :args (@t1868)) % 1.12/1.36 (step @p5197 :rule trans :premises (@p5196 @p5195)) % 1.12/1.36 (step @p5198 :rule refl :args (@t426)) % 1.12/1.36 (step @p5199 :rule ho_cong :premises (@p5198 @p4235)) % 1.12/1.36 (step @p5200 :rule cong :premises (@p5199 @p5197) :args ((= (_ @t426 @t1756) @t1868))) % 1.12/1.36 (step @p5201 :rule symm :premises (@p5200)) % 1.12/1.36 (step @p5202 :rule refl :args (@t513)) % 1.12/1.36 (step @p5203 :rule eq_resolve :premises (@p5202 @p5201)) % 1.12/1.36 (step @p5204 :rule ho_cong :premises (@p5198 @p4261)) % 1.12/1.36 (step @p5205 :rule trans :premises (@p5204 @p5203)) % 1.12/1.36 (step @p5206 :rule cong :premises (@p5205) :args (@t514)) % 1.12/1.36 (step @p5207 :rule refl :args (tptp.binunionRsub)) % 1.12/1.36 (step @p5208 :rule cong :premises (@p5207 @p5206) :args (@t515)) % 1.12/1.36 (step @p5209 :rule eq_resolve :premises (@p105 @p5208)) % 1.12/1.36 (step @p5210 :rule cong :premises (@p5209 @p5194) :args (@t3502)) % 1.12/1.36 (step @p5211 :rule refl :args ((tptp.subset @t2 @t494))) % 1.12/1.36 (step @p5212 :rule cong :premises (@p1055 @p4235) :args (@t1870)) % 1.12/1.36 (step @p5213 :rule trans :premises (@p5212 @p5211)) % 1.12/1.36 (step @p5214 :rule ho_cong :premises (@p4040 @p4235)) % 1.12/1.36 (step @p5215 :rule cong :premises (@p5214 @p5213) :args ((= (_ @t421 @t1756) @t1870))) % 1.12/1.36 (step @p5216 :rule symm :premises (@p5215)) % 1.12/1.36 (step @p5217 :rule refl :args (@t510)) % 1.12/1.36 (step @p5218 :rule eq_resolve :premises (@p5217 @p5216)) % 1.12/1.36 (step @p5219 :rule ho_cong :premises (@p4040 @p4261)) % 1.12/1.36 (step @p5220 :rule trans :premises (@p5219 @p5218)) % 1.12/1.36 (step @p5221 :rule cong :premises (@p5220) :args (@t511)) % 1.12/1.36 (step @p5222 :rule refl :args (tptp.binunionLsub)) % 1.12/1.36 (step @p5223 :rule cong :premises (@p5222 @p5221) :args (@t512)) % 1.12/1.36 (step @p5224 :rule eq_resolve :premises (@p104 @p5223)) % 1.12/1.36 (step @p5225 :rule cong :premises (@p5224 @p5210) :args (@t3503)) % 1.12/1.36 (step @p5226 :rule refl :args ((tptp.in @t4 @t494))) % 1.12/1.36 (step @p5227 :rule cong :premises (@p768 @p4235) :args (@t1872)) % 1.12/1.36 (step @p5228 :rule trans :premises (@p5227 @p5226)) % 1.12/1.36 (step @p5229 :rule ho_cong :premises (@p1305 @p4235)) % 1.12/1.36 (step @p5230 :rule cong :premises (@p5229 @p5228) :args ((= (_ @t5 @t1756) @t1872))) % 1.12/1.36 (step @p5231 :rule symm :premises (@p5230)) % 1.12/1.36 (step @p5232 :rule refl :args (@t495)) % 1.12/1.36 (step @p5233 :rule eq_resolve :premises (@p5232 @p5231)) % 1.12/1.36 (step @p5234 :rule ho_cong :premises (@p1305 @p4261)) % 1.12/1.36 (step @p5235 :rule trans :premises (@p5234 @p5233)) % 1.12/1.36 (step @p5236 :rule cong :premises (@p5235) :args (@t3504)) % 1.12/1.36 (step @p5237 :rule nary_cong :premises (@p5236 @p757 @p4655) :args (@t3505)) % 1.12/1.36 (step @p5238 :rule cong :premises (@p5237) :args ((forall @t245 @t3505))) % 1.12/1.36 (step @p5239 :rule aci_norm :args ((= (or @t3504 @t507) @t3505))) % 1.12/1.36 (step @p5240 :rule bool-impl-elim :args (@t495 @t507)) % 1.12/1.36 (step @p5241 :rule trans :premises (@p5240 @p5239)) % 1.12/1.36 (step @p5242 :rule cong :premises (@p5241) :args (@t508)) % 1.12/1.36 (step @p5243 :rule trans :premises (@p5242 @p5238)) % 1.12/1.36 (step @p5244 :rule refl :args (tptp.binunionE)) % 1.12/1.36 (step @p5245 :rule cong :premises (@p5244 @p5243) :args (@t509)) % 1.12/1.36 (step @p5246 :rule eq_resolve :premises (@p103 @p5245)) % 1.12/1.36 (step @p5247 :rule cong :premises (@p5246 @p5225) :args (@t3506)) % 1.12/1.36 (step @p5248 :rule aci_norm :args ((= (and @t1812 true) @t1812))) % 1.12/1.36 (step @p5249 :rule nary_cong :premises (@p4736 @p1345) :args (@t3507)) % 1.12/1.36 (step @p5250 :rule trans :premises (@p5249 @p5248)) % 1.12/1.36 (step @p5251 :rule aci_norm :args ((= (and @t1383 true) @t1383))) % 1.12/1.36 (step @p5252 :rule nary_cong :premises (@p3032 @p1345) :args (@t3508)) % 1.12/1.36 (step @p5253 :rule trans :premises (@p5252 @p5251)) % 1.12/1.36 (step @p5254 :rule refl :args (@t1873)) % 1.12/1.36 (step @p5255 :rule nary_cong :premises (@p5254 @p5253 @p5250) :args (@t3509)) % 1.12/1.36 (step @p5256 :rule aci_norm :args ((= @t3510 @t3509))) % 1.12/1.36 (step @p5257 :rule trans :premises (@p5256 @p5255)) % 1.12/1.36 (step @p5258 :rule cong :premises (@p5257) :args ((forall @t245 @t3510))) % 1.12/1.36 (step @p5259 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t1873 @t3512 @t3511 @t173)) @t3510))) % 1.12/1.36 (step @p5260 :rule refl :args (@t3511)) % 1.12/1.36 (step @p5261 :rule refl :args (@t3512)) % 1.12/1.36 (step @p5262 :rule refl :args (@t1873)) % 1.12/1.36 (step @p5263 :rule nary_cong :premises (@p830 @p5262 @p5261 @p5260 @p824) :args (@t3513)) % 1.12/1.36 (step @p5264 :rule aci_norm :args ((= @t3514 @t3513))) % 1.12/1.36 (step @p5265 :rule trans :premises (@p5264 @p5263)) % 1.12/1.36 (step @p5266 :rule cong :premises (@p5265) :args (@t3515)) % 1.12/1.36 (step @p5267 :rule trans :premises (@p5266 @p5259)) % 1.12/1.36 (step @p5268 :rule cong :premises (@p5267) :args (@t3516)) % 1.12/1.36 (step @p5269 :rule quant-merge-prenex :args ((= @t3516 (forall @t504 @t3514)))) % 1.12/1.36 (step @p5270 :rule symm :premises (@p5269)) % 1.12/1.36 (step @p5271 :rule trans :premises (@p5270 @p5268)) % 1.12/1.36 (step @p5272 :rule trans :premises (@p5271 @p5258)) % 1.12/1.36 (step @p5273 :rule nary_cong :premises (@p4655 @p911) :args (@t3441)) % 1.12/1.36 (step @p5274 :rule nary_cong :premises (@p757 @p911) :args (@t3517)) % 1.12/1.36 (step @p5275 :rule nary_cong :premises (@p5236 @p5274 @p5273 @p824) :args (@t3518)) % 1.12/1.36 (step @p5276 :rule cong :premises (@p5275) :args ((forall @t504 @t3518))) % 1.12/1.36 (step @p5277 :rule trans :premises (@p5276 @p5272)) % 1.12/1.36 (step @p5278 :rule aci_norm :args ((= (or @t3504 @t3519) @t3518))) % 1.12/1.36 (step @p5279 :rule aci_norm :args ((= (or @t3517 (or @t3441 @t173)) @t3519))) % 1.12/1.36 (step @p5280 :rule nary_cong :premises (@p4762 @p824) :args ((or @t3442 @t173))) % 1.12/1.36 (step @p5281 :rule bool-impl-elim :args (@t500 @t173)) % 1.12/1.36 (step @p5282 :rule trans :premises (@p5281 @p5280)) % 1.12/1.36 (step @p5283 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.12/1.36 (step @p5284 :rule nary_cong :premises (@p5283 @p5282) :args ((or (not @t502) @t501))) % 1.12/1.36 (step @p5285 :rule trans :premises (@p5284 @p5279)) % 1.12/1.36 (step @p5286 :rule bool-impl-elim :args (@t502 @t501)) % 1.12/1.36 (step @p5287 :rule trans :premises (@p5286 @p5285)) % 1.12/1.36 (step @p5288 :rule refl :args (@t3504)) % 1.12/1.36 (step @p5289 :rule nary_cong :premises (@p5288 @p5287) :args ((or @t3504 @t503))) % 1.12/1.36 (step @p5290 :rule trans :premises (@p5289 @p5278)) % 1.12/1.36 (step @p5291 :rule bool-impl-elim :args (@t495 @t503)) % 1.12/1.36 (step @p5292 :rule trans :premises (@p5291 @p5290)) % 1.12/1.36 (step @p5293 :rule cong :premises (@p5292) :args (@t505)) % 1.12/1.36 (step @p5294 :rule trans :premises (@p5293 @p5277)) % 1.12/1.36 (step @p5295 :rule refl :args (tptp.binunionEcases)) % 1.12/1.36 (step @p5296 :rule cong :premises (@p5295 @p5294) :args (@t506)) % 1.12/1.36 (step @p5297 :rule eq_resolve :premises (@p102 @p5296)) % 1.12/1.36 (step @p5298 :rule cong :premises (@p5297 @p5247) :args (@t3520)) % 1.12/1.36 (step @p5299 :rule nary_cong :premises (@p4678 @p5235) :args (@t3521)) % 1.12/1.36 (step @p5300 :rule cong :premises (@p5299) :args ((forall @t245 @t3521))) % 1.12/1.36 (step @p5301 :rule bool-impl-elim :args (@t6 @t495)) % 1.12/1.36 (step @p5302 :rule cong :premises (@p5301) :args (@t498)) % 1.12/1.36 (step @p5303 :rule trans :premises (@p5302 @p5300)) % 1.12/1.36 (step @p5304 :rule refl :args (tptp.binunionIR)) % 1.12/1.36 (step @p5305 :rule cong :premises (@p5304 @p5303) :args (@t499)) % 1.12/1.36 (step @p5306 :rule eq_resolve :premises (@p101 @p5305)) % 1.12/1.36 (step @p5307 :rule cong :premises (@p5306 @p5298) :args (@t3522)) % 1.12/1.36 (step @p5308 :rule eq-symm :args (@t1808 tptp.upairset2IR)) % 1.12/1.36 (step @p5309 :rule refl :args (tptp.upairset2IR)) % 1.12/1.36 (step @p5310 :rule cong :premises (@p4628 @p5309) :args ((= @t304 tptp.upairset2IR))) % 1.12/1.36 (step @p5311 :rule trans :premises (@p5310 @p5308)) % 1.12/1.36 (step @p5312 :rule eq-symm :args (tptp.upairset2IR @t304)) % 1.12/1.36 (step @p5313 :rule trans :premises (@p5312 @p5311)) % 1.12/1.36 (step @p5314 :rule eq_resolve :premises (@p100 @p5313)) % 1.12/1.36 (step @p5315 :rule cong :premises (@p5314 @p5307) :args (@t3523)) % 1.12/1.36 (step @p5316 :rule nary_cong :premises (@p758 @p5235) :args (@t3524)) % 1.12/1.36 (step @p5317 :rule cong :premises (@p5316) :args ((forall @t245 @t3524))) % 1.12/1.36 (step @p5318 :rule bool-impl-elim :args (@t7 @t495)) % 1.12/1.36 (step @p5319 :rule cong :premises (@p5318) :args (@t496)) % 1.12/1.36 (step @p5320 :rule trans :premises (@p5319 @p5317)) % 1.12/1.36 (step @p5321 :rule refl :args (tptp.binunionIL)) % 1.12/1.36 (step @p5322 :rule cong :premises (@p5321 @p5320) :args (@t497)) % 1.12/1.36 (step @p5323 :rule eq_resolve :premises (@p99 @p5322)) % 1.12/1.36 (step @p5324 :rule cong :premises (@p5323 @p5315) :args (@t3525)) % 1.12/1.36 (step @p5325 :rule cong :premises (@p2434 @p1082) :args (@t3526)) % 1.12/1.36 (step @p5326 :rule cong :premises (@p5325) :args ((forall @t311 @t3526))) % 1.12/1.36 (step @p5327 :rule refl :args ((tptp.subset @t306 @t2))) % 1.12/1.36 (step @p5328 :rule cong :premises (@p2446 @p1055) :args (@t3526)) % 1.12/1.36 (step @p5329 :rule trans :premises (@p5328 @p5327)) % 1.12/1.36 (step @p5330 :rule ho_cong :premises (@p3095 @p2446)) % 1.12/1.36 (step @p5331 :rule ho_cong :premises (@p5330 @p1055)) % 1.12/1.36 (step @p5332 :rule cong :premises (@p5331 @p5329) :args ((= (_ (_ tptp.subset @t2957) @t2) @t3526))) % 1.12/1.36 (step @p5333 :rule symm :premises (@p5332)) % 1.12/1.36 (step @p5334 :rule refl :args (@t491)) % 1.12/1.36 (step @p5335 :rule eq_resolve :premises (@p5334 @p5333)) % 1.12/1.36 (step @p5336 :rule ho_cong :premises (@p3095 @p2466)) % 1.12/1.36 (step @p5337 :rule ho_cong :premises (@p5336 @p1055)) % 1.12/1.36 (step @p5338 :rule trans :premises (@p5337 @p5335)) % 1.12/1.36 (step @p5339 :rule cong :premises (@p5338) :args (@t492)) % 1.12/1.36 (step @p5340 :rule trans :premises (@p5339 @p5326)) % 1.12/1.36 (step @p5341 :rule refl :args (tptp.sepSubset)) % 1.12/1.36 (step @p5342 :rule cong :premises (@p5341 @p5340) :args (@t493)) % 1.12/1.36 (step @p5343 :rule eq_resolve :premises (@p98 @p5342)) % 1.12/1.36 (step @p5344 :rule cong :premises (@p5343 @p5324) :args (@t3527)) % 1.12/1.36 (step @p5345 :rule refl :args (@t1371)) % 1.12/1.36 (step @p5346 :rule cong :premises (@p2434 @p5345) :args (@t3528)) % 1.12/1.36 (step @p5347 :rule cong :premises (@p5346) :args ((forall @t311 @t3528))) % 1.12/1.36 (step @p5348 :rule refl :args ((tptp.in @t306 @t33))) % 1.12/1.36 (step @p5349 :rule cong :premises (@p2446 @p4501) :args (@t3528)) % 1.12/1.36 (step @p5350 :rule trans :premises (@p5349 @p5348)) % 1.12/1.36 (step @p5351 :rule ho_cong :premises (@p774 @p2446)) % 1.12/1.36 (step @p5352 :rule ho_cong :premises (@p5351 @p4501)) % 1.12/1.36 (step @p5353 :rule cong :premises (@p5352 @p5350) :args ((= (_ (_ tptp.in @t2957) @t1371) @t3528))) % 1.12/1.36 (step @p5354 :rule symm :premises (@p5353)) % 1.12/1.36 (step @p5355 :rule refl :args (@t488)) % 1.12/1.36 (step @p5356 :rule eq_resolve :premises (@p5355 @p5354)) % 1.12/1.36 (step @p5357 :rule ho_cong :premises (@p774 @p2466)) % 1.12/1.36 (step @p5358 :rule ho_cong :premises (@p5357 @p4512)) % 1.12/1.36 (step @p5359 :rule trans :premises (@p5358 @p5356)) % 1.12/1.36 (step @p5360 :rule cong :premises (@p5359) :args (@t489)) % 1.12/1.36 (step @p5361 :rule trans :premises (@p5360 @p5347)) % 1.12/1.36 (step @p5362 :rule refl :args (tptp.sepInPowerset)) % 1.12/1.36 (step @p5363 :rule cong :premises (@p5362 @p5361) :args (@t490)) % 1.12/1.36 (step @p5364 :rule eq_resolve :premises (@p97 @p5363)) % 1.12/1.36 (step @p5365 :rule cong :premises (@p5364 @p5344) :args (@t3529)) % 1.12/1.36 (step @p5366 :rule refl :args ((tptp.subset @t33 @t393))) % 1.12/1.36 (step @p5367 :rule refl :args (@t1879)) % 1.12/1.36 (step @p5368 :rule cong :premises (@p4501 @p5367) :args (@t1880)) % 1.12/1.36 (step @p5369 :rule trans :premises (@p5368 @p5366)) % 1.12/1.36 (step @p5370 :rule ho_cong :premises (@p3095 @p4501)) % 1.12/1.36 (step @p5371 :rule ho_cong :premises (@p5370 @p5367)) % 1.12/1.36 (step @p5372 :rule cong :premises (@p5371 @p5369) :args ((= (_ (_ tptp.subset @t1371) @t1879) @t1880))) % 1.12/1.36 (step @p5373 :rule symm :premises (@p5372)) % 1.12/1.36 (step @p5374 :rule refl :args (@t485)) % 1.12/1.36 (step @p5375 :rule eq_resolve :premises (@p5374 @p5373)) % 1.12/1.36 (step @p5376 :rule refl :args (@t393)) % 1.12/1.36 (step @p5377 :rule cong :premises (@p5376 @p5367) :args ((= @t393 @t1879))) % 1.12/1.36 (step @p5378 :rule symm :premises (@p5377)) % 1.12/1.36 (step @p5379 :rule eq_resolve :premises (@p5376 @p5378)) % 1.12/1.36 (step @p5380 :rule ho_cong :premises (@p3095 @p4512)) % 1.12/1.36 (step @p5381 :rule ho_cong :premises (@p5380 @p5379)) % 1.12/1.36 (step @p5382 :rule trans :premises (@p5381 @p5375)) % 1.12/1.36 (step @p5383 :rule nary_cong :premises (@p4902 @p5382) :args (@t3530)) % 1.12/1.36 (step @p5384 :rule cong :premises (@p5383) :args ((forall @t12 @t3530))) % 1.12/1.36 (step @p5385 :rule bool-impl-elim :args (@t422 @t485)) % 1.12/1.36 (step @p5386 :rule cong :premises (@p5385) :args (@t486)) % 1.12/1.36 (step @p5387 :rule trans :premises (@p5386 @p5384)) % 1.12/1.36 (step @p5388 :rule refl :args (tptp.powersetsubset)) % 1.12/1.36 (step @p5389 :rule cong :premises (@p5388 @p5387) :args (@t487)) % 1.12/1.36 (step @p5390 :rule eq_resolve :premises (@p96 @p5389)) % 1.12/1.36 (step @p5391 :rule cong :premises (@p5390 @p5365) :args (@t3531)) % 1.12/1.36 (step @p5392 :rule refl :args ((tptp.in @t2 @t33))) % 1.12/1.36 (step @p5393 :rule cong :premises (@p1055 @p4501) :args (@t1882)) % 1.12/1.36 (step @p5394 :rule trans :premises (@p5393 @p5392)) % 1.12/1.36 (step @p5395 :rule refl :args (@t468)) % 1.12/1.36 (step @p5396 :rule ho_cong :premises (@p5395 @p4501)) % 1.12/1.36 (step @p5397 :rule cong :premises (@p5396 @p5394) :args ((= (_ @t468 @t1371) @t1882))) % 1.12/1.36 (step @p5398 :rule symm :premises (@p5397)) % 1.12/1.36 (step @p5399 :rule refl :args (@t482)) % 1.12/1.36 (step @p5400 :rule eq_resolve :premises (@p5399 @p5398)) % 1.12/1.36 (step @p5401 :rule ho_cong :premises (@p5395 @p4512)) % 1.12/1.36 (step @p5402 :rule trans :premises (@p5401 @p5400)) % 1.12/1.36 (step @p5403 :rule cong :premises (@p5402) :args (@t483)) % 1.12/1.36 (step @p5404 :rule refl :args (tptp.inPowerset)) % 1.12/1.36 (step @p5405 :rule cong :premises (@p5404 @p5403) :args (@t484)) % 1.12/1.36 (step @p5406 :rule eq_resolve :premises (@p95 @p5405)) % 1.12/1.36 (step @p5407 :rule cong :premises (@p5406 @p5391) :args (@t3532)) % 1.12/1.36 (step @p5408 :rule refl :args ((tptp.in @t1 @t33))) % 1.12/1.36 (step @p5409 :rule cong :premises (@p1542 @p4501) :args (@t1884)) % 1.12/1.36 (step @p5410 :rule trans :premises (@p5409 @p5408)) % 1.12/1.36 (step @p5411 :rule refl :args (@t34)) % 1.12/1.36 (step @p5412 :rule ho_cong :premises (@p5411 @p4501)) % 1.12/1.36 (step @p5413 :rule cong :premises (@p5412 @p5410) :args ((= (_ @t34 @t1371) @t1884))) % 1.12/1.36 (step @p5414 :rule symm :premises (@p5413)) % 1.12/1.36 (step @p5415 :rule refl :args (@t35)) % 1.12/1.36 (step @p5416 :rule eq_resolve :premises (@p5415 @p5414)) % 1.12/1.36 (step @p5417 :rule ho_cong :premises (@p5411 @p4512)) % 1.12/1.36 (step @p5418 :rule trans :premises (@p5417 @p5416)) % 1.12/1.36 (step @p5419 :rule cong :premises (@p5418) :args (@t3533)) % 1.12/1.36 (step @p5420 :rule nary_cong :premises (@p5419 @p5014) :args (@t3534)) % 1.12/1.36 (step @p5421 :rule cong :premises (@p5420) :args ((forall @t12 @t3534))) % 1.12/1.36 (step @p5422 :rule bool-impl-elim :args (@t35 @t427)) % 1.12/1.36 (step @p5423 :rule cong :premises (@p5422) :args (@t480)) % 1.12/1.36 (step @p5424 :rule trans :premises (@p5423 @p5421)) % 1.12/1.36 (step @p5425 :rule refl :args (tptp.powersetE1)) % 1.12/1.36 (step @p5426 :rule cong :premises (@p5425 @p5424) :args (@t481)) % 1.12/1.36 (step @p5427 :rule eq_resolve :premises (@p94 @p5426)) % 1.12/1.36 (step @p5428 :rule cong :premises (@p5427 @p5407) :args (@t3535)) % 1.12/1.36 (step @p5429 :rule nary_cong :premises (@p5015 @p5418) :args (@t3536)) % 1.12/1.36 (step @p5430 :rule cong :premises (@p5429) :args ((forall @t12 @t3536))) % 1.12/1.36 (step @p5431 :rule bool-impl-elim :args (@t427 @t35)) % 1.12/1.36 (step @p5432 :rule cong :premises (@p5431) :args (@t478)) % 1.12/1.36 (step @p5433 :rule trans :premises (@p5432 @p5430)) % 1.12/1.36 (step @p5434 :rule refl :args (tptp.powersetI1)) % 1.12/1.36 (step @p5435 :rule cong :premises (@p5434 @p5433) :args (@t479)) % 1.12/1.36 (step @p5436 :rule eq_resolve :premises (@p93 @p5435)) % 1.12/1.36 (step @p5437 :rule cong :premises (@p5436 @p5428) :args (@t3537)) % 1.12/1.36 (step @p5438 :rule refl :args (@t196)) % 1.12/1.36 (step @p5439 :rule refl :args (@t1888)) % 1.12/1.36 (step @p5440 :rule refl :args (@t475)) % 1.12/1.36 (step @p5441 :rule cong :premises (@p5440 @p5439) :args ((= @t475 @t1888))) % 1.12/1.36 (step @p5442 :rule symm :premises (@p5441)) % 1.12/1.36 (step @p5443 :rule eq_resolve :premises (@p5440 @p5442)) % 1.12/1.36 (step @p5444 :rule cong :premises (@p5443) :args (@t3538)) % 1.12/1.36 (step @p5445 :rule nary_cong :premises (@p5444 @p5438) :args (@t3539)) % 1.12/1.36 (step @p5446 :rule cong :premises (@p5445) :args ((forall @t64 @t3539))) % 1.12/1.36 (step @p5447 :rule bool-impl-elim :args (@t475 @t196)) % 1.12/1.36 (step @p5448 :rule cong :premises (@p5447) :args (@t476)) % 1.12/1.36 (step @p5449 :rule trans :premises (@p5448 @p5446)) % 1.12/1.36 (step @p5450 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.12/1.36 (step @p5451 :rule cong :premises (@p5450 @p5449) :args (@t477)) % 1.12/1.36 (step @p5452 :rule eq_resolve :premises (@p92 @p5451)) % 1.12/1.36 (step @p5453 :rule cong :premises (@p5452 @p5437) :args (@t3540)) % 1.12/1.36 (step @p5454 :rule refl :args (@t3)) % 1.12/1.36 (step @p5455 :rule nary_cong :premises (@p4902 @p5015 @p5454) :args (@t3541)) % 1.12/1.36 (step @p5456 :rule cong :premises (@p5455) :args ((forall @t12 @t3541))) % 1.12/1.36 (step @p5457 :rule aci_norm :args ((= (or @t441 (or @t3474 @t3)) @t3541))) % 1.12/1.36 (step @p5458 :rule bool-impl-elim :args (@t427 @t3)) % 1.12/1.36 (step @p5459 :rule refl :args (@t441)) % 1.12/1.36 (step @p5460 :rule nary_cong :premises (@p5459 @p5458) :args ((or @t441 @t472))) % 1.12/1.36 (step @p5461 :rule trans :premises (@p5460 @p5457)) % 1.12/1.36 (step @p5462 :rule bool-impl-elim :args (@t422 @t472)) % 1.12/1.36 (step @p5463 :rule trans :premises (@p5462 @p5461)) % 1.12/1.36 (step @p5464 :rule cong :premises (@p5463) :args (@t473)) % 1.12/1.36 (step @p5465 :rule trans :premises (@p5464 @p5456)) % 1.12/1.36 (step @p5466 :rule refl :args (tptp.setextsub)) % 1.12/1.36 (step @p5467 :rule cong :premises (@p5466 @p5465) :args (@t474)) % 1.12/1.36 (step @p5468 :rule eq_resolve :premises (@p91 @p5467)) % 1.12/1.36 (step @p5469 :rule cong :premises (@p5468 @p5453) :args (@t3542)) % 1.12/1.36 (step @p5470 :rule refl :args ((tptp.in @t2 @t393))) % 1.12/1.36 (step @p5471 :rule cong :premises (@p1055 @p5367) :args (@t1891)) % 1.12/1.36 (step @p5472 :rule trans :premises (@p5471 @p5470)) % 1.12/1.36 (step @p5473 :rule ho_cong :premises (@p5395 @p5367)) % 1.12/1.36 (step @p5474 :rule cong :premises (@p5473 @p5472) :args ((= (_ @t468 @t1879) @t1891))) % 1.12/1.36 (step @p5475 :rule symm :premises (@p5474)) % 1.12/1.36 (step @p5476 :rule refl :args (@t469)) % 1.12/1.36 (step @p5477 :rule eq_resolve :premises (@p5476 @p5475)) % 1.12/1.36 (step @p5478 :rule ho_cong :premises (@p5395 @p5379)) % 1.12/1.36 (step @p5479 :rule trans :premises (@p5478 @p5477)) % 1.12/1.36 (step @p5480 :rule nary_cong :premises (@p4902 @p5479) :args (@t3543)) % 1.12/1.36 (step @p5481 :rule cong :premises (@p5480) :args ((forall @t12 @t3543))) % 1.12/1.36 (step @p5482 :rule bool-impl-elim :args (@t422 @t469)) % 1.12/1.36 (step @p5483 :rule cong :premises (@p5482) :args (@t470)) % 1.12/1.36 (step @p5484 :rule trans :premises (@p5483 @p5481)) % 1.12/1.36 (step @p5485 :rule refl :args (tptp.subset2powerset)) % 1.12/1.36 (step @p5486 :rule cong :premises (@p5485 @p5484) :args (@t471)) % 1.12/1.36 (step @p5487 :rule eq_resolve :premises (@p90 @p5486)) % 1.12/1.36 (step @p5488 :rule cong :premises (@p5487 @p5469) :args (@t3544)) % 1.12/1.36 (step @p5489 :rule refl :args ((tptp.subset @t2 @t464))) % 1.12/1.36 (step @p5490 :rule refl :args (@t1893)) % 1.12/1.36 (step @p5491 :rule cong :premises (@p1055 @p5490) :args (@t1894)) % 1.12/1.36 (step @p5492 :rule trans :premises (@p5491 @p5489)) % 1.12/1.36 (step @p5493 :rule ho_cong :premises (@p4040 @p5490)) % 1.12/1.36 (step @p5494 :rule cong :premises (@p5493 @p5492) :args ((= (_ @t421 @t1893) @t1894))) % 1.12/1.36 (step @p5495 :rule symm :premises (@p5494)) % 1.12/1.36 (step @p5496 :rule refl :args (@t465)) % 1.12/1.36 (step @p5497 :rule eq_resolve :premises (@p5496 @p5495)) % 1.12/1.36 (step @p5498 :rule refl :args (@t464)) % 1.12/1.36 (step @p5499 :rule cong :premises (@p5498 @p5490) :args ((= @t464 @t1893))) % 1.12/1.36 (step @p5500 :rule symm :premises (@p5499)) % 1.12/1.36 (step @p5501 :rule eq_resolve :premises (@p5498 @p5500)) % 1.12/1.36 (step @p5502 :rule ho_cong :premises (@p4040 @p5501)) % 1.12/1.36 (step @p5503 :rule trans :premises (@p5502 @p5497)) % 1.12/1.36 (step @p5504 :rule nary_cong :premises (@p4902 @p5503) :args (@t3545)) % 1.12/1.36 (step @p5505 :rule cong :premises (@p5504) :args ((forall @t249 @t3545))) % 1.12/1.36 (step @p5506 :rule bool-impl-elim :args (@t422 @t465)) % 1.12/1.36 (step @p5507 :rule cong :premises (@p5506) :args (@t466)) % 1.12/1.36 (step @p5508 :rule trans :premises (@p5507 @p5505)) % 1.12/1.36 (step @p5509 :rule refl :args (tptp.setadjoinSub2)) % 1.12/1.36 (step @p5510 :rule cong :premises (@p5509 @p5508) :args (@t467)) % 1.12/1.36 (step @p5511 :rule eq_resolve :premises (@p89 @p5510)) % 1.12/1.36 (step @p5512 :rule cong :premises (@p5511 @p5488) :args (@t3546)) % 1.12/1.36 (step @p5513 :rule refl :args ((tptp.subset @t2 @t25))) % 1.12/1.36 (step @p5514 :rule refl :args (@t1896)) % 1.12/1.36 (step @p5515 :rule cong :premises (@p1055 @p5514) :args (@t1897)) % 1.12/1.36 (step @p5516 :rule trans :premises (@p5515 @p5513)) % 1.12/1.36 (step @p5517 :rule ho_cong :premises (@p4040 @p5514)) % 1.12/1.36 (step @p5518 :rule cong :premises (@p5517 @p5516) :args ((= (_ @t421 @t1896) @t1897))) % 1.12/1.36 (step @p5519 :rule symm :premises (@p5518)) % 1.12/1.36 (step @p5520 :rule refl :args (@t460)) % 1.12/1.36 (step @p5521 :rule eq_resolve :premises (@p5520 @p5519)) % 1.12/1.36 (step @p5522 :rule refl :args (@t25)) % 1.12/1.36 (step @p5523 :rule cong :premises (@p5522 @p5514) :args ((= @t25 @t1896))) % 1.12/1.36 (step @p5524 :rule symm :premises (@p5523)) % 1.12/1.36 (step @p5525 :rule eq_resolve :premises (@p5522 @p5524)) % 1.12/1.36 (step @p5526 :rule ho_cong :premises (@p4040 @p5525)) % 1.12/1.36 (step @p5527 :rule trans :premises (@p5526 @p5521)) % 1.12/1.36 (step @p5528 :rule cong :premises (@p5527) :args (@t462)) % 1.12/1.36 (step @p5529 :rule refl :args (tptp.setadjoinSub)) % 1.12/1.36 (step @p5530 :rule cong :premises (@p5529 @p5528) :args (@t463)) % 1.12/1.36 (step @p5531 :rule eq_resolve :premises (@p88 @p5530)) % 1.12/1.36 (step @p5532 :rule cong :premises (@p5531 @p5512) :args (@t3547)) % 1.12/1.36 (step @p5533 :rule refl :args (@t1899)) % 1.12/1.36 (step @p5534 :rule refl :args (@t454)) % 1.12/1.36 (step @p5535 :rule cong :premises (@p5534 @p5533) :args ((= @t454 @t1899))) % 1.12/1.36 (step @p5536 :rule symm :premises (@p5535)) % 1.12/1.36 (step @p5537 :rule eq_resolve :premises (@p5534 @p5536)) % 1.12/1.36 (step @p5538 :rule refl :args (@t1900)) % 1.12/1.36 (step @p5539 :rule refl :args (@t455)) % 1.12/1.36 (step @p5540 :rule cong :premises (@p5539 @p5538) :args ((= @t455 @t1900))) % 1.12/1.36 (step @p5541 :rule symm :premises (@p5540)) % 1.12/1.36 (step @p5542 :rule eq_resolve :premises (@p5539 @p5541)) % 1.12/1.36 (step @p5543 :rule cong :premises (@p5542) :args (@t3548)) % 1.12/1.36 (step @p5544 :rule nary_cong :premises (@p4902 @p5543 @p5537) :args (@t3549)) % 1.12/1.36 (step @p5545 :rule cong :premises (@p5544) :args ((forall @t457 @t3549))) % 1.12/1.36 (step @p5546 :rule aci_norm :args ((= (or @t441 (or @t3548 @t454)) @t3549))) % 1.12/1.36 (step @p5547 :rule bool-impl-elim :args (@t455 @t454)) % 1.12/1.36 (step @p5548 :rule nary_cong :premises (@p5459 @p5547) :args ((or @t441 @t456))) % 1.12/1.36 (step @p5549 :rule trans :premises (@p5548 @p5546)) % 1.12/1.36 (step @p5550 :rule bool-impl-elim :args (@t422 @t456)) % 1.12/1.36 (step @p5551 :rule trans :premises (@p5550 @p5549)) % 1.12/1.36 (step @p5552 :rule cong :premises (@p5551) :args (@t458)) % 1.12/1.36 (step @p5553 :rule trans :premises (@p5552 @p5545)) % 1.12/1.36 (step @p5554 :rule refl :args (tptp.subsetTrans)) % 1.12/1.36 (step @p5555 :rule cong :premises (@p5554 @p5553) :args (@t459)) % 1.12/1.36 (step @p5556 :rule eq_resolve :premises (@p87 @p5555)) % 1.12/1.36 (step @p5557 :rule cong :premises (@p5556 @p5532) :args (@t3550)) % 1.12/1.36 (step @p5558 :rule refl :args (@t1902)) % 1.12/1.36 (step @p5559 :rule refl :args (@t451)) % 1.12/1.36 (step @p5560 :rule cong :premises (@p5559 @p5558) :args ((= @t451 @t1902))) % 1.12/1.36 (step @p5561 :rule symm :premises (@p5560)) % 1.12/1.36 (step @p5562 :rule eq_resolve :premises (@p5559 @p5561)) % 1.12/1.36 (step @p5563 :rule cong :premises (@p5562) :args (@t452)) % 1.12/1.36 (step @p5564 :rule refl :args (tptp.subsetRefl)) % 1.12/1.36 (step @p5565 :rule cong :premises (@p5564 @p5563) :args (@t453)) % 1.12/1.36 (step @p5566 :rule eq_resolve :premises (@p86 @p5565)) % 1.12/1.36 (step @p5567 :rule cong :premises (@p5566 @p5557) :args (@t3551)) % 1.12/1.36 (step @p5568 :rule bool-eq-true :args (tptp.notequalI2)) % 1.12/1.36 (step @p5569 :rule symm :premises (@p5568)) % 1.12/1.36 (step @p5570 :rule quant-unused-vars :args ((= (forall @t3552 true) true))) % 1.12/1.36 (step @p5571 :rule bool-or-taut2 :args (false @t1812 false false)) % 1.12/1.36 (step @p5572 :rule cong :premises (@p5571) :args ((forall @t3552 @t3553))) % 1.12/1.36 (step @p5573 :rule trans :premises (@p5572 @p5570)) % 1.12/1.36 (step @p5574 :rule aci_norm :args ((= (or @t1814 @t1812 false) @t3553))) % 1.12/1.36 (step @p5575 :rule eq-refl :args (@t1)) % 1.12/1.36 (step @p5576 :rule cong :premises (@p5575) :args (@t3554)) % 1.12/1.36 (step @p5577 :rule trans :premises (@p5576 @p903)) % 1.12/1.36 (step @p5578 :rule nary_cong :premises (@p4740 @p4736 @p5577) :args (@t3555)) % 1.12/1.36 (step @p5579 :rule trans :premises (@p5578 @p5574)) % 1.12/1.36 (step @p5580 :rule cong :premises (@p5579) :args ((forall @t3552 @t3555))) % 1.12/1.36 (step @p5581 :rule trans :premises (@p5580 @p5573)) % 1.12/1.36 (step @p5582 :rule quant-var-elim-eq :args ((= (forall @t64 @t3556) @t3555))) % 1.12/1.36 (step @p5583 :rule aci_norm :args ((= @t3557 @t3556))) % 1.12/1.36 (step @p5584 :rule cong :premises (@p5583) :args (@t3558)) % 1.12/1.36 (step @p5585 :rule trans :premises (@p5584 @p5582)) % 1.12/1.36 (step @p5586 :rule cong :premises (@p5585) :args (@t3559)) % 1.12/1.36 (step @p5587 :rule quant-merge-prenex :args ((= @t3559 @t3560))) % 1.12/1.36 (step @p5588 :rule symm :premises (@p5587)) % 1.12/1.36 (step @p5589 :rule quant_var_reordering :args ((= (forall @t245 @t3557) @t3560))) % 1.12/1.36 (step @p5590 :rule trans :premises (@p5589 @p5588 @p5586)) % 1.12/1.36 (step @p5591 :rule trans :premises (@p5590 @p5581)) % 1.12/1.36 (step @p5592 :rule refl :args (@t445)) % 1.12/1.36 (step @p5593 :rule nary_cong :premises (@p758 @p4655 @p5592) :args (@t3561)) % 1.12/1.36 (step @p5594 :rule cong :premises (@p5593) :args ((forall @t245 @t3561))) % 1.12/1.36 (step @p5595 :rule trans :premises (@p5594 @p5591)) % 1.12/1.36 (step @p5596 :rule aci_norm :args ((= (or @t197 (or @t6 @t445)) @t3561))) % 1.12/1.36 (step @p5597 :rule nary_cong :premises (@p4660 @p5592) :args ((or @t3419 @t445))) % 1.12/1.36 (step @p5598 :rule bool-impl-elim :args (@t437 @t445)) % 1.12/1.36 (step @p5599 :rule trans :premises (@p5598 @p5597)) % 1.12/1.36 (step @p5600 :rule nary_cong :premises (@p3929 @p5599) :args ((or @t197 @t448))) % 1.12/1.36 (step @p5601 :rule trans :premises (@p5600 @p5596)) % 1.12/1.36 (step @p5602 :rule bool-impl-elim :args (@t7 @t448)) % 1.12/1.36 (step @p5603 :rule trans :premises (@p5602 @p5601)) % 1.12/1.36 (step @p5604 :rule cong :premises (@p5603) :args (@t449)) % 1.12/1.36 (step @p5605 :rule trans :premises (@p5604 @p5595)) % 1.12/1.36 (step @p5606 :rule refl :args (tptp.notequalI2)) % 1.12/1.36 (step @p5607 :rule cong :premises (@p5606 @p5605) :args (@t450)) % 1.12/1.36 (step @p5608 :rule trans :premises (@p5607 @p5568)) % 1.12/1.36 (step @p5609 :rule eq_resolve :premises (@p85 @p5608)) % 1.12/1.36 (step @p5610 :rule eq_resolve :premises (@p5609 @p5569)) % 1.12/1.36 (step @p5611 :rule cong :premises (@p5610 @p5567) :args (@t3562)) % 1.12/1.36 (step @p5612 :rule aci_norm :args ((= (or @t1904 false) @t1904))) % 1.12/1.36 (step @p5613 :rule refl :args (@t1904)) % 1.12/1.36 (step @p5614 :rule nary_cong :premises (@p5613 @p5577) :args (@t3563)) % 1.12/1.36 (step @p5615 :rule trans :premises (@p5614 @p5612)) % 1.12/1.36 (step @p5616 :rule cong :premises (@p5615) :args ((forall @t41 @t3563))) % 1.12/1.36 (step @p5617 :rule quant-var-elim-eq :args ((= (forall @t64 @t3564) @t3563))) % 1.12/1.36 (step @p5618 :rule aci_norm :args ((= @t3565 @t3564))) % 1.12/1.36 (step @p5619 :rule cong :premises (@p5618) :args (@t3566)) % 1.12/1.36 (step @p5620 :rule trans :premises (@p5619 @p5617)) % 1.12/1.36 (step @p5621 :rule cong :premises (@p5620) :args (@t3567)) % 1.12/1.36 (step @p5622 :rule quant-merge-prenex :args ((= @t3567 @t3569))) % 1.12/1.36 (step @p5623 :rule symm :premises (@p5622)) % 1.12/1.36 (step @p5624 :rule quant_var_reordering :args ((= (forall @t12 @t3565) @t3569))) % 1.12/1.36 (step @p5625 :rule trans :premises (@p5624 @p5623 @p5621)) % 1.12/1.36 (step @p5626 :rule trans :premises (@p5625 @p5616)) % 1.12/1.36 (step @p5627 :rule nary_cong :premises (@p4794 @p5592) :args (@t3570)) % 1.12/1.36 (step @p5628 :rule cong :premises (@p5627) :args ((forall @t12 @t3570))) % 1.12/1.36 (step @p5629 :rule trans :premises (@p5628 @p5626)) % 1.12/1.36 (step @p5630 :rule bool-double-not-elim :args (@t422)) % 1.12/1.36 (step @p5631 :rule nary_cong :premises (@p5630 @p5592) :args ((or (not @t441) @t445))) % 1.12/1.36 (step @p5632 :rule bool-impl-elim :args (@t441 @t445)) % 1.12/1.36 (step @p5633 :rule trans :premises (@p5632 @p5631)) % 1.12/1.36 (step @p5634 :rule cong :premises (@p5633) :args (@t446)) % 1.12/1.36 (step @p5635 :rule trans :premises (@p5634 @p5629)) % 1.12/1.36 (step @p5636 :rule refl :args (tptp.notequalI1)) % 1.12/1.36 (step @p5637 :rule cong :premises (@p5636 @p5635) :args (@t447)) % 1.12/1.36 (step @p5638 :rule eq_resolve :premises (@p84 @p5637)) % 1.12/1.36 (step @p5639 :rule cong :premises (@p5638 @p5611) :args (@t3571)) % 1.12/1.36 (step @p5640 :rule nary_cong :premises (@p758 @p4655 @p4902) :args (@t3572)) % 1.12/1.36 (step @p5641 :rule cong :premises (@p5640) :args ((forall @t245 @t3572))) % 1.12/1.36 (step @p5642 :rule aci_norm :args ((= (or @t197 (or @t6 @t441)) @t3572))) % 1.12/1.36 (step @p5643 :rule nary_cong :premises (@p4660 @p5459) :args ((or @t3419 @t441))) % 1.12/1.36 (step @p5644 :rule bool-impl-elim :args (@t437 @t441)) % 1.12/1.36 (step @p5645 :rule trans :premises (@p5644 @p5643)) % 1.12/1.36 (step @p5646 :rule nary_cong :premises (@p3929 @p5645) :args ((or @t197 @t442))) % 1.12/1.36 (step @p5647 :rule trans :premises (@p5646 @p5642)) % 1.12/1.36 (step @p5648 :rule bool-impl-elim :args (@t7 @t442)) % 1.12/1.36 (step @p5649 :rule trans :premises (@p5648 @p5647)) % 1.12/1.36 (step @p5650 :rule cong :premises (@p5649) :args (@t443)) % 1.12/1.36 (step @p5651 :rule trans :premises (@p5650 @p5641)) % 1.12/1.36 (step @p5652 :rule refl :args (tptp.notsubsetI)) % 1.12/1.36 (step @p5653 :rule cong :premises (@p5652 @p5651) :args (@t444)) % 1.12/1.36 (step @p5654 :rule eq_resolve :premises (@p83 @p5653)) % 1.12/1.36 (step @p5655 :rule cong :premises (@p5654 @p5639) :args (@t3573)) % 1.12/1.36 (step @p5656 :rule nary_cong :premises (@p4902 @p4655 @p758) :args (@t3574)) % 1.12/1.36 (step @p5657 :rule cong :premises (@p5656) :args ((forall @t245 @t3574))) % 1.12/1.36 (step @p5658 :rule aci_norm :args ((= (or @t441 @t3454) @t3574))) % 1.12/1.36 (step @p5659 :rule nary_cong :premises (@p5459 @p4870) :args ((or @t441 @t438))) % 1.12/1.36 (step @p5660 :rule trans :premises (@p5659 @p5658)) % 1.12/1.36 (step @p5661 :rule bool-impl-elim :args (@t422 @t438)) % 1.12/1.36 (step @p5662 :rule trans :premises (@p5661 @p5660)) % 1.12/1.36 (step @p5663 :rule cong :premises (@p5662) :args (@t439)) % 1.12/1.36 (step @p5664 :rule trans :premises (@p5663 @p5657)) % 1.12/1.36 (step @p5665 :rule refl :args (tptp.subsetE2)) % 1.12/1.36 (step @p5666 :rule cong :premises (@p5665 @p5664) :args (@t440)) % 1.12/1.36 (step @p5667 :rule eq_resolve :premises (@p82 @p5666)) % 1.12/1.36 (step @p5668 :rule cong :premises (@p5667 @p5655) :args (@t3575)) % 1.12/1.36 (step @p5669 :rule nary_cong :premises (@p4902 @p758 @p4655) :args (@t3576)) % 1.12/1.36 (step @p5670 :rule cong :premises (@p5669) :args ((forall @t245 @t3576))) % 1.12/1.36 (step @p5671 :rule aci_norm :args ((= (or @t441 @t3458) @t3576))) % 1.12/1.36 (step @p5672 :rule nary_cong :premises (@p5459 @p4888) :args ((or @t441 @t191))) % 1.12/1.36 (step @p5673 :rule trans :premises (@p5672 @p5671)) % 1.12/1.36 (step @p5674 :rule bool-impl-elim :args (@t422 @t191)) % 1.12/1.36 (step @p5675 :rule trans :premises (@p5674 @p5673)) % 1.12/1.36 (step @p5676 :rule cong :premises (@p5675) :args (@t435)) % 1.12/1.36 (step @p5677 :rule trans :premises (@p5676 @p5670)) % 1.12/1.36 (step @p5678 :rule refl :args (tptp.subsetE)) % 1.12/1.36 (step @p5679 :rule cong :premises (@p5678 @p5677) :args (@t436)) % 1.12/1.36 (step @p5680 :rule eq_resolve :premises (@p81 @p5679)) % 1.12/1.36 (step @p5681 :rule cong :premises (@p5680 @p5668) :args (@t3577)) % 1.12/1.36 (step @p5682 :rule refl :args (@t1909)) % 1.12/1.36 (step @p5683 :rule refl :args (@t432)) % 1.12/1.36 (step @p5684 :rule cong :premises (@p5683 @p5682) :args ((= @t432 @t1909))) % 1.12/1.36 (step @p5685 :rule symm :premises (@p5684)) % 1.12/1.36 (step @p5686 :rule eq_resolve :premises (@p5683 @p5685)) % 1.12/1.36 (step @p5687 :rule cong :premises (@p5686) :args (@t433)) % 1.12/1.36 (step @p5688 :rule refl :args (tptp.emptysetsubset)) % 1.12/1.36 (step @p5689 :rule cong :premises (@p5688 @p5687) :args (@t434)) % 1.12/1.36 (step @p5690 :rule eq_resolve :premises (@p80 @p5689)) % 1.12/1.36 (step @p5691 :rule cong :premises (@p5690 @p5681) :args (@t3578)) % 1.12/1.36 (step @p5692 :rule eq-symm :args (@t1913 tptp.subsetI2)) % 1.12/1.36 (step @p5693 :rule refl :args (tptp.subsetI2)) % 1.12/1.36 (step @p5694 :rule refl :args (@t1912)) % 1.12/1.36 (step @p5695 :rule nary_cong :premises (@p5694 @p4794) :args (@t3579)) % 1.12/1.36 (step @p5696 :rule cong :premises (@p5695) :args ((forall @t12 @t3579))) % 1.12/1.36 (step @p5697 :rule bool-impl-elim :args (@t1911 @t422)) % 1.12/1.36 (step @p5698 :rule cong :premises (@p5697) :args ((forall @t12 (=> @t1911 @t422)))) % 1.12/1.36 (step @p5699 :rule trans :premises (@p5698 @p5696)) % 1.12/1.36 (step @p5700 :rule nary_cong :premises (@p758 @p4655) :args (@t3458)) % 1.12/1.36 (step @p5701 :rule cong :premises (@p5700) :args ((forall @t9 @t3458))) % 1.12/1.36 (step @p5702 :rule cong :premises (@p4888) :args (@t192)) % 1.12/1.36 (step @p5703 :rule trans :premises (@p5702 @p5701)) % 1.12/1.36 (step @p5704 :rule cong :premises (@p5703 @p4807) :args (@t423)) % 1.12/1.36 (step @p5705 :rule cong :premises (@p5704) :args (@t424)) % 1.12/1.36 (step @p5706 :rule trans :premises (@p5705 @p5699)) % 1.12/1.36 (step @p5707 :rule cong :premises (@p5706 @p5693) :args ((= @t424 tptp.subsetI2))) % 1.12/1.36 (step @p5708 :rule trans :premises (@p5707 @p5692)) % 1.12/1.36 (step @p5709 :rule eq-symm :args (tptp.subsetI2 @t424)) % 1.12/1.36 (step @p5710 :rule trans :premises (@p5709 @p5708)) % 1.12/1.36 (step @p5711 :rule eq_resolve :premises (@p79 @p5710)) % 1.12/1.36 (step @p5712 :rule cong :premises (@p5711 @p5691) :args (@t3580)) % 1.12/1.36 (step @p5713 :rule aci_norm :args ((= (or false @t1904) @t1904))) % 1.12/1.36 (step @p5714 :rule nary_cong :premises (@p5577 @p5613) :args (@t3581)) % 1.12/1.36 (step @p5715 :rule trans :premises (@p5714 @p5713)) % 1.12/1.36 (step @p5716 :rule cong :premises (@p5715) :args ((forall @t41 @t3581))) % 1.12/1.36 (step @p5717 :rule quant-var-elim-eq :args ((= (forall @t64 @t3582) @t3581))) % 1.12/1.36 (step @p5718 :rule aci_norm :args ((= @t3583 @t3582))) % 1.12/1.36 (step @p5719 :rule cong :premises (@p5718) :args (@t3584)) % 1.12/1.36 (step @p5720 :rule trans :premises (@p5719 @p5717)) % 1.12/1.36 (step @p5721 :rule cong :premises (@p5720) :args (@t3585)) % 1.12/1.36 (step @p5722 :rule quant-merge-prenex :args ((= @t3585 @t3586))) % 1.12/1.36 (step @p5723 :rule symm :premises (@p5722)) % 1.12/1.36 (step @p5724 :rule quant_var_reordering :args ((= (forall @t12 @t3583) @t3586))) % 1.12/1.36 (step @p5725 :rule trans :premises (@p5724 @p5723 @p5721)) % 1.12/1.36 (step @p5726 :rule trans :premises (@p5725 @p5716)) % 1.12/1.36 (step @p5727 :rule nary_cong :premises (@p5592 @p4794) :args (@t3587)) % 1.12/1.36 (step @p5728 :rule cong :premises (@p5727) :args ((forall @t12 @t3587))) % 1.12/1.36 (step @p5729 :rule trans :premises (@p5728 @p5726)) % 1.12/1.36 (step @p5730 :rule bool-impl-elim :args (@t3 @t422)) % 1.12/1.36 (step @p5731 :rule cong :premises (@p5730) :args (@t430)) % 1.12/1.36 (step @p5732 :rule trans :premises (@p5731 @p5729)) % 1.12/1.36 (step @p5733 :rule refl :args (tptp.eqimpsubset1)) % 1.12/1.36 (step @p5734 :rule cong :premises (@p5733 @p5732) :args (@t431)) % 1.12/1.36 (step @p5735 :rule eq_resolve :premises (@p78 @p5734)) % 1.12/1.36 (step @p5736 :rule cong :premises (@p5735 @p5712) :args (@t3588)) % 1.12/1.36 (step @p5737 :rule quant-var-elim-eq :args ((= (forall @t64 @t3589) @t3581))) % 1.12/1.36 (step @p5738 :rule aci_norm :args ((= @t3590 @t3589))) % 1.12/1.36 (step @p5739 :rule cong :premises (@p5738) :args (@t3591)) % 1.12/1.36 (step @p5740 :rule trans :premises (@p5739 @p5737)) % 1.12/1.36 (step @p5741 :rule cong :premises (@p5740) :args (@t3592)) % 1.12/1.36 (step @p5742 :rule quant-merge-prenex :args ((= @t3592 @t3593))) % 1.12/1.36 (step @p5743 :rule symm :premises (@p5742)) % 1.12/1.36 (step @p5744 :rule quant_var_reordering :args ((= (forall @t12 @t3590) @t3593))) % 1.12/1.36 (step @p5745 :rule trans :premises (@p5744 @p5743 @p5741)) % 1.12/1.36 (step @p5746 :rule trans :premises (@p5745 @p5716)) % 1.12/1.36 (step @p5747 :rule nary_cong :premises (@p5592 @p5014) :args (@t3594)) % 1.12/1.36 (step @p5748 :rule cong :premises (@p5747) :args ((forall @t12 @t3594))) % 1.12/1.36 (step @p5749 :rule trans :premises (@p5748 @p5746)) % 1.12/1.36 (step @p5750 :rule bool-impl-elim :args (@t3 @t427)) % 1.12/1.36 (step @p5751 :rule cong :premises (@p5750) :args (@t428)) % 1.12/1.36 (step @p5752 :rule trans :premises (@p5751 @p5749)) % 1.12/1.36 (step @p5753 :rule refl :args (tptp.eqimpsubset2)) % 1.12/1.36 (step @p5754 :rule cong :premises (@p5753 @p5752) :args (@t429)) % 1.12/1.36 (step @p5755 :rule eq_resolve :premises (@p77 @p5754)) % 1.12/1.36 (step @p5756 :rule cong :premises (@p5755 @p5736) :args (@t3595)) % 1.12/1.36 (step @p5757 :rule refl :args (tptp.subsetI1)) % 1.12/1.36 (step @p5758 :rule cong :premises (@p5757 @p5706) :args (@t425)) % 1.12/1.36 (step @p5759 :rule eq_resolve :premises (@p76 @p5758)) % 1.12/1.36 (step @p5760 :rule cong :premises (@p5759 @p5756) :args (@t3596)) % 1.12/1.36 (step @p5761 :rule aci_norm :args ((= (or false @t1921 @t1918) @t1922))) % 1.12/1.36 (step @p5762 :rule eq-symm :args (@t1915 @t1917)) % 1.12/1.36 (step @p5763 :rule aci_norm :args ((= @t3597 @t1920))) % 1.12/1.36 (step @p5764 :rule cong :premises (@p5763) :args (@t3598)) % 1.12/1.36 (step @p5765 :rule cong :premises (@p5764) :args (@t3599)) % 1.12/1.36 (step @p5766 :rule nary_cong :premises (@p5577 @p5765 @p5762) :args (@t3600)) % 1.12/1.36 (step @p5767 :rule trans :premises (@p5766 @p5761)) % 1.12/1.36 (step @p5768 :rule cong :premises (@p5767) :args ((forall @t1923 @t3600))) % 1.12/1.36 (step @p5769 :rule quant-var-elim-eq :args ((= (forall @t64 @t3603) @t3600))) % 1.12/1.36 (step @p5770 :rule aci_norm :args ((= @t3604 @t3603))) % 1.12/1.36 (step @p5771 :rule cong :premises (@p5770) :args (@t3605)) % 1.12/1.36 (step @p5772 :rule trans :premises (@p5771 @p5769)) % 1.12/1.36 (step @p5773 :rule cong :premises (@p5772) :args (@t3606)) % 1.12/1.36 (step @p5774 :rule quant-merge-prenex :args ((= @t3606 @t3607))) % 1.12/1.36 (step @p5775 :rule symm :premises (@p5774)) % 1.12/1.36 (step @p5776 :rule quant_var_reordering :args ((= (forall @t3608 @t3604) @t3607))) % 1.12/1.36 (step @p5777 :rule trans :premises (@p5776 @p5775 @p5773)) % 1.12/1.36 (step @p5778 :rule trans :premises (@p5777 @p5768)) % 1.12/1.36 (step @p5779 :rule aci_norm :args ((= @t3610 @t3604))) % 1.12/1.36 (step @p5780 :rule cong :premises (@p5779) :args (@t3611)) % 1.12/1.36 (step @p5781 :rule trans :premises (@p5780 @p5778)) % 1.12/1.36 (step @p5782 :rule quant-merge-prenex :args ((= (forall @t12 @t3613) @t3611))) % 1.12/1.36 (step @p5783 :rule alpha_equiv :args (@t3614 (@list @t1914 @t1916) (@list @t143 @t368))) % 1.12/1.36 (step @p5784 :rule nary_cong :premises (@p5592 @p5783) :args (@t3615)) % 1.12/1.36 (step @p5785 :rule quant-miniscope-or :args ((= @t3613 @t3615))) % 1.12/1.36 (step @p5786 :rule trans :premises (@p5785 @p5784)) % 1.12/1.36 (step @p5787 :rule symm :premises (@p5786)) % 1.12/1.36 (step @p5788 :rule cong :premises (@p5787) :args ((forall @t12 (or @t445 @t3619)))) % 1.12/1.36 (step @p5789 :rule trans :premises (@p5788 @p5782)) % 1.12/1.36 (step @p5790 :rule trans :premises (@p5789 @p5781)) % 1.12/1.36 (step @p5791 :rule bool-impl-elim :args (@t3 @t3619)) % 1.12/1.36 (step @p5792 :rule cong :premises (@p5791) :args ((forall @t12 (=> @t3 @t3619)))) % 1.12/1.36 (step @p5793 :rule trans :premises (@p5792 @p5790)) % 1.12/1.36 (step @p5794 :rule lambda-elim :args ((= @t3620 @t368))) % 1.12/1.36 (step @p5795 :rule cong :premises (@p1609 @p5794) :args (@t3621)) % 1.12/1.36 (step @p5796 :rule cong :premises (@p2434 @p5795) :args (@t3622)) % 1.12/1.36 (step @p5797 :rule refl :args (@t3618)) % 1.12/1.36 (step @p5798 :rule nary_cong :premises (@p5797 @p5796) :args (@t3623)) % 1.12/1.36 (step @p5799 :rule cong :premises (@p5798) :args ((forall @t378 @t3623))) % 1.12/1.36 (step @p5800 :rule refl :args ((tptp.dsetconstr @t1 @t370))) % 1.12/1.36 (step @p5801 :rule refl :args (@t1948)) % 1.12/1.36 (step @p5802 :rule cong :premises (@p5801) :args (@t3620)) % 1.12/1.36 (step @p5803 :rule cong :premises (@p1542 @p5802) :args (@t3621)) % 1.12/1.36 (step @p5804 :rule trans :premises (@p5803 @p5800)) % 1.12/1.36 (step @p5805 :rule ho_cong :premises (@p2902 @p5802)) % 1.12/1.36 (step @p5806 :rule cong :premises (@p5805 @p5804) :args ((= (_ @t410 @t3620) @t3621))) % 1.12/1.36 (step @p5807 :rule symm :premises (@p5806)) % 1.12/1.36 (step @p5808 :rule refl :args (@t411)) % 1.12/1.36 (step @p5809 :rule eq_resolve :premises (@p5808 @p5807)) % 1.12/1.36 (step @p5810 :rule refl :args (@t369)) % 1.12/1.36 (step @p5811 :rule cong :premises (@p5810 @p5801) :args ((= @t369 @t1948))) % 1.12/1.36 (step @p5812 :rule symm :premises (@p5811)) % 1.12/1.36 (step @p5813 :rule eq_resolve :premises (@p5810 @p5812)) % 1.12/1.36 (step @p5814 :rule cong :premises (@p5813) :args (@t370)) % 1.12/1.36 (step @p5815 :rule ho_cong :premises (@p2902 @p5814)) % 1.12/1.36 (step @p5816 :rule trans :premises (@p5815 @p5809)) % 1.12/1.36 (step @p5817 :rule cong :premises (@p2466 @p5816) :args (@t412)) % 1.12/1.36 (step @p5818 :rule refl :args (@t3618)) % 1.12/1.36 (step @p5819 :rule nary_cong :premises (@p5818 @p5817) :args (@t3624)) % 1.12/1.36 (step @p5820 :rule cong :premises (@p5819) :args ((forall @t378 @t3624))) % 1.12/1.36 (step @p5821 :rule trans :premises (@p5820 @p5799)) % 1.12/1.36 (step @p5822 :rule bool-impl-elim :args (@t3617 @t412)) % 1.12/1.36 (step @p5823 :rule cong :premises (@p5822) :args ((forall @t378 (=> @t3617 @t412)))) % 1.12/1.36 (step @p5824 :rule trans :premises (@p5823 @p5821)) % 1.12/1.36 (step @p5825 :rule refl :args (@t412)) % 1.12/1.36 (step @p5826 :rule refl :args (@t3616)) % 1.12/1.36 (step @p5827 :rule refl :args (@t1814)) % 1.12/1.36 (step @p5828 :rule nary_cong :premises (@p758 @p5827 @p5826) :args (@t3625)) % 1.12/1.36 (step @p5829 :rule cong :premises (@p5828) :args ((forall @t9 @t3625))) % 1.12/1.36 (step @p5830 :rule aci_norm :args ((= (or @t197 @t3626) @t3625))) % 1.12/1.36 (step @p5831 :rule bool-impl-elim :args (@t7 @t3626)) % 1.12/1.36 (step @p5832 :rule trans :premises (@p5831 @p5830)) % 1.12/1.36 (step @p5833 :rule cong :premises (@p5832) :args ((forall @t9 (=> @t7 @t3626)))) % 1.12/1.36 (step @p5834 :rule trans :premises (@p5833 @p5829)) % 1.12/1.36 (step @p5835 :rule aci_norm :args ((= (or @t1814 false @t3616) @t3626))) % 1.12/1.36 (step @p5836 :rule refl :args (@t3616)) % 1.12/1.36 (step @p5837 :rule eq-refl :args (@t4)) % 1.12/1.36 (step @p5838 :rule cong :premises (@p5837) :args (@t3627)) % 1.12/1.36 (step @p5839 :rule trans :premises (@p5838 @p903)) % 1.12/1.36 (step @p5840 :rule nary_cong :premises (@p4740 @p5839 @p5836) :args (@t3628)) % 1.12/1.36 (step @p5841 :rule trans :premises (@p5840 @p5835)) % 1.12/1.36 (step @p5842 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t2788 @t282 @t3629)) @t3628))) % 1.12/1.36 (step @p5843 :rule refl :args (@t3629)) % 1.12/1.36 (step @p5844 :rule refl :args (@t2788)) % 1.12/1.36 (step @p5845 :rule eq-symm :args (@t4 @t19)) % 1.12/1.36 (step @p5846 :rule cong :premises (@p5845) :args (@t282)) % 1.12/1.36 (step @p5847 :rule nary_cong :premises (@p5846 @p5844 @p3638 @p5843) :args (@t3630)) % 1.12/1.36 (step @p5848 :rule aci_norm :args ((= @t3631 @t3630))) % 1.12/1.36 (step @p5849 :rule trans :premises (@p5848 @p5847)) % 1.12/1.36 (step @p5850 :rule cong :premises (@p5849) :args ((forall @t70 @t3631))) % 1.12/1.36 (step @p5851 :rule trans :premises (@p5850 @p5842)) % 1.12/1.36 (step @p5852 :rule trans :premises (@p5851 @p5841)) % 1.12/1.36 (step @p5853 :rule refl :args (@t1926)) % 1.12/1.36 (step @p5854 :rule refl :args (@t373)) % 1.12/1.36 (step @p5855 :rule cong :premises (@p5854 @p5853) :args ((= @t373 @t1926))) % 1.12/1.36 (step @p5856 :rule symm :premises (@p5855)) % 1.12/1.36 (step @p5857 :rule eq_resolve :premises (@p5854 @p5856)) % 1.12/1.36 (step @p5858 :rule cong :premises (@p2463 @p5857) :args (@t374)) % 1.12/1.36 (step @p5859 :rule nary_cong :premises (@p1996 @p3638 @p5858) :args (@t3632)) % 1.12/1.36 (step @p5860 :rule cong :premises (@p5859) :args ((forall @t70 @t3632))) % 1.12/1.36 (step @p5861 :rule trans :premises (@p5860 @p5852)) % 1.12/1.36 (step @p5862 :rule aci_norm :args ((= (or @t2793 @t3633) @t3632))) % 1.12/1.36 (step @p5863 :rule bool-impl-elim :args (@t129 @t374)) % 1.12/1.36 (step @p5864 :rule nary_cong :premises (@p2001 @p5863) :args ((or @t2793 @t375))) % 1.12/1.36 (step @p5865 :rule trans :premises (@p5864 @p5862)) % 1.12/1.36 (step @p5866 :rule bool-impl-elim :args (@t354 @t375)) % 1.12/1.36 (step @p5867 :rule trans :premises (@p5866 @p5865)) % 1.12/1.36 (step @p5868 :rule cong :premises (@p5867) :args (@t413)) % 1.12/1.36 (step @p5869 :rule trans :premises (@p5868 @p5861)) % 1.12/1.36 (step @p5870 :rule cong :premises (@p811 @p5869) :args (@t414)) % 1.12/1.36 (step @p5871 :rule cong :premises (@p5870) :args (@t415)) % 1.12/1.36 (step @p5872 :rule trans :premises (@p5871 @p5834)) % 1.12/1.36 (step @p5873 :rule cong :premises (@p5872 @p5825) :args (@t416)) % 1.12/1.36 (step @p5874 :rule cong :premises (@p5873) :args (@t417)) % 1.12/1.36 (step @p5875 :rule trans :premises (@p5874 @p5824)) % 1.12/1.36 (step @p5876 :rule refl :args (@t3)) % 1.12/1.36 (step @p5877 :rule cong :premises (@p5876 @p5875) :args (@t418)) % 1.12/1.36 (step @p5878 :rule cong :premises (@p5877) :args (@t419)) % 1.12/1.36 (step @p5879 :rule trans :premises (@p5878 @p5793)) % 1.12/1.36 (step @p5880 :rule refl :args (tptp.dsetconstr__Cong)) % 1.12/1.36 (step @p5881 :rule cong :premises (@p5880 @p5879) :args (@t420)) % 1.12/1.36 (step @p5882 :rule eq_resolve :premises (@p75 @p5881)) % 1.12/1.36 (step @p5883 :rule cong :premises (@p5882 @p5760) :args (@t3634)) % 1.12/1.36 (step @p5884 :rule eq-symm :args (@t1925 @t19)) % 1.12/1.36 (step @p5885 :rule refl :args (@t1927)) % 1.12/1.36 (step @p5886 :rule nary_cong :premises (@p5885 @p5884) :args (@t3635)) % 1.12/1.36 (step @p5887 :rule cong :premises (@p5886) :args (@t3636)) % 1.12/1.36 (step @p5888 :rule cong :premises (@p5887) :args (@t3637)) % 1.12/1.36 (step @p5889 :rule refl :args (@t1928)) % 1.12/1.36 (step @p5890 :rule eq-symm :args (@t1929 @t19)) % 1.12/1.36 (step @p5891 :rule refl :args (@t1717)) % 1.12/1.36 (step @p5892 :rule nary_cong :premises (@p5891 @p5890) :args (@t3638)) % 1.12/1.36 (step @p5893 :rule cong :premises (@p5892) :args (@t3639)) % 1.12/1.36 (step @p5894 :rule cong :premises (@p5893) :args (@t3640)) % 1.12/1.36 (step @p5895 :rule refl :args (@t1930)) % 1.12/1.36 (step @p5896 :rule refl :args (@t1932)) % 1.12/1.36 (step @p5897 :rule refl :args (@t1935)) % 1.12/1.36 (step @p5898 :rule nary_cong :premises (@p5897 @p5896 @p5895 @p5894 @p5889 @p5888) :args (@t3641)) % 1.12/1.36 (step @p5899 :rule aci_norm :args ((= @t3644 @t3641))) % 1.12/1.36 (step @p5900 :rule trans :premises (@p5899 @p5898)) % 1.12/1.36 (step @p5901 :rule cong :premises (@p5900) :args (@t3645)) % 1.12/1.36 (step @p5902 :rule quant-merge-prenex :args ((= (forall @t378 @t3646) @t3645))) % 1.12/1.36 (step @p5903 :rule refl :args (@t1932)) % 1.12/1.36 (step @p5904 :rule alpha_equiv :args (@t3647 (@list @t1925) @t2487)) % 1.12/1.36 (step @p5905 :rule alpha_equiv :args (@t3648 (@list @t1929) @t2487)) % 1.12/1.36 (step @p5906 :rule refl :args (@t1935)) % 1.12/1.36 (step @p5907 :rule nary_cong :premises (@p5906 @p5905 @p5904 @p5903) :args (@t3649)) % 1.12/1.36 (step @p5908 :rule quant-miniscope-or :args ((= @t3646 @t3649))) % 1.12/1.36 (step @p5909 :rule trans :premises (@p5908 @p5907)) % 1.12/1.36 (step @p5910 :rule symm :premises (@p5909)) % 1.12/1.36 (step @p5911 :rule cong :premises (@p5910) :args ((forall @t378 (or @t1935 @t1953 @t1949 @t1932)))) % 1.12/1.36 (step @p5912 :rule trans :premises (@p5911 @p5902)) % 1.12/1.36 (step @p5913 :rule trans :premises (@p5912 @p5901)) % 1.12/1.36 (step @p5914 :rule cong :premises (@p5794) :args (@t3650)) % 1.12/1.36 (step @p5915 :rule cong :premises (@p2433) :args (@t3651)) % 1.12/1.36 (step @p5916 :rule cong :premises (@p5915 @p5914) :args (@t3652)) % 1.12/1.36 (step @p5917 :rule refl :args (@t1949)) % 1.12/1.36 (step @p5918 :rule refl :args (@t1953)) % 1.12/1.36 (step @p5919 :rule nary_cong :premises (@p5897 @p5918 @p5917 @p5916) :args (@t3653)) % 1.12/1.36 (step @p5920 :rule cong :premises (@p5919) :args ((forall @t378 @t3653))) % 1.12/1.36 (step @p5921 :rule trans :premises (@p5920 @p5913)) % 1.12/1.36 (step @p5922 :rule refl :args ((tptp.descr @t370))) % 1.12/1.36 (step @p5923 :rule cong :premises (@p5802) :args (@t3650)) % 1.12/1.36 (step @p5924 :rule trans :premises (@p5923 @p5922)) % 1.12/1.36 (step @p5925 :rule refl :args (tptp.descr)) % 1.12/1.36 (step @p5926 :rule ho_cong :premises (@p5925 @p5802)) % 1.12/1.36 (step @p5927 :rule cong :premises (@p5926 @p5924) :args ((= (_ tptp.descr @t3620) @t3650))) % 1.12/1.36 (step @p5928 :rule symm :premises (@p5927)) % 1.12/1.36 (step @p5929 :rule refl :args (@t403)) % 1.12/1.36 (step @p5930 :rule eq_resolve :premises (@p5929 @p5928)) % 1.12/1.36 (step @p5931 :rule ho_cong :premises (@p5925 @p5814)) % 1.12/1.36 (step @p5932 :rule trans :premises (@p5931 @p5930)) % 1.12/1.36 (step @p5933 :rule refl :args ((tptp.descr @t145))) % 1.12/1.36 (step @p5934 :rule cong :premises (@p2444) :args (@t3651)) % 1.12/1.36 (step @p5935 :rule trans :premises (@p5934 @p5933)) % 1.12/1.36 (step @p5936 :rule ho_cong :premises (@p5925 @p2444)) % 1.12/1.36 (step @p5937 :rule cong :premises (@p5936 @p5935) :args ((= (_ tptp.descr @t2956) @t3651))) % 1.12/1.36 (step @p5938 :rule symm :premises (@p5937)) % 1.12/1.36 (step @p5939 :rule refl :args (@t146)) % 1.12/1.36 (step @p5940 :rule eq_resolve :premises (@p5939 @p5938)) % 1.12/1.36 (step @p5941 :rule ho_cong :premises (@p5925 @p2464)) % 1.12/1.36 (step @p5942 :rule trans :premises (@p5941 @p5940)) % 1.12/1.36 (step @p5943 :rule cong :premises (@p5942 @p5932) :args (@t404)) % 1.12/1.36 (step @p5944 :rule refl :args (@t1949)) % 1.12/1.36 (step @p5945 :rule refl :args (@t1953)) % 1.12/1.36 (step @p5946 :rule nary_cong :premises (@p5906 @p5945 @p5944 @p5943) :args (@t3654)) % 1.12/1.36 (step @p5947 :rule cong :premises (@p5946) :args ((forall @t378 @t3654))) % 1.12/1.36 (step @p5948 :rule trans :premises (@p5947 @p5921)) % 1.12/1.36 (step @p5949 :rule aci_norm :args ((= (or @t1935 @t3655) @t3654))) % 1.12/1.36 (step @p5950 :rule aci_norm :args ((= (or @t1953 (or @t1949 @t404)) @t3655))) % 1.12/1.36 (step @p5951 :rule refl :args (@t404)) % 1.12/1.36 (step @p5952 :rule bool-double-not-elim :args (@t1949)) % 1.12/1.36 (step @p5953 :rule nary_cong :premises (@p5952 @p5951) :args ((or (not @t1950) @t404))) % 1.12/1.36 (step @p5954 :rule bool-impl-elim :args (@t1950 @t404)) % 1.12/1.36 (step @p5955 :rule trans :premises (@p5954 @p5953)) % 1.12/1.36 (step @p5956 :rule nary_cong :premises (@p5945 @p5955) :args ((or @t1953 @t3656))) % 1.12/1.36 (step @p5957 :rule trans :premises (@p5956 @p5950)) % 1.12/1.36 (step @p5958 :rule refl :args (@t3656)) % 1.12/1.36 (step @p5959 :rule bool-double-not-elim :args (@t1953)) % 1.12/1.36 (step @p5960 :rule nary_cong :premises (@p5959 @p5958) :args ((or @t3657 @t3656))) % 1.12/1.36 (step @p5961 :rule bool-impl-elim :args (@t1954 @t3656)) % 1.12/1.36 (step @p5962 :rule trans :premises (@p5961 @p5960)) % 1.12/1.36 (step @p5963 :rule trans :premises (@p5962 @p5957)) % 1.12/1.36 (step @p5964 :rule nary_cong :premises (@p5906 @p5963) :args ((or @t1935 @t3658))) % 1.12/1.36 (step @p5965 :rule trans :premises (@p5964 @p5949)) % 1.12/1.36 (step @p5966 :rule bool-impl-elim :args (@t1934 @t3658)) % 1.12/1.36 (step @p5967 :rule trans :premises (@p5966 @p5965)) % 1.12/1.36 (step @p5968 :rule cong :premises (@p5967) :args ((forall @t378 (=> @t1934 @t3658)))) % 1.12/1.36 (step @p5969 :rule trans :premises (@p5968 @p5948)) % 1.12/1.36 (step @p5970 :rule refl :args (@t404)) % 1.12/1.36 (step @p5971 :rule refl :args (@t1947)) % 1.12/1.36 (step @p5972 :rule cong :premises (@p5813) :args (@t3659)) % 1.12/1.36 (step @p5973 :rule nary_cong :premises (@p5972 @p5971) :args (@t3660)) % 1.12/1.36 (step @p5974 :rule cong :premises (@p5973) :args ((forall @t9 @t3660))) % 1.12/1.36 (step @p5975 :rule cong :premises (@p5857) :args (@t3661)) % 1.12/1.36 (step @p5976 :rule nary_cong :premises (@p5975 @p2498) :args (@t3662)) % 1.12/1.36 (step @p5977 :rule cong :premises (@p5976) :args ((forall @t70 @t3662))) % 1.12/1.36 (step @p5978 :rule beta-reduce :args ((= @t3663 @t373))) % 1.12/1.36 (step @p5979 :rule cong :premises (@p5978) :args (@t3664)) % 1.12/1.36 (step @p5980 :rule nary_cong :premises (@p5979 @p3672) :args (@t3665)) % 1.12/1.36 (step @p5981 :rule cong :premises (@p5980) :args (@t3666)) % 1.12/1.36 (step @p5982 :rule trans :premises (@p5981 @p5977)) % 1.12/1.36 (step @p5983 :rule cong :premises (@p5982) :args (@t3667)) % 1.12/1.36 (step @p5984 :rule beta-reduce :args ((= @t3668 @t369))) % 1.12/1.36 (step @p5985 :rule cong :premises (@p5984) :args (@t3669)) % 1.12/1.36 (step @p5986 :rule nary_cong :premises (@p5985 @p5983) :args (@t3670)) % 1.12/1.36 (step @p5987 :rule cong :premises (@p5986) :args (@t3671)) % 1.12/1.36 (step @p5988 :rule trans :premises (@p5987 @p5974)) % 1.12/1.36 (step @p5989 :rule cong :premises (@p5988) :args (@t3672)) % 1.12/1.36 (step @p5990 :rule beta-reduce :args ((= @t3674 @t3672))) % 1.12/1.36 (step @p5991 :rule trans :premises (@p5990 @p5989)) % 1.12/1.36 (step @p5992 :rule cong :premises (@p5991 @p5970) :args (@t3675)) % 1.12/1.36 (step @p5993 :rule refl :args (@t1952)) % 1.12/1.36 (step @p5994 :rule nary_cong :premises (@p2489 @p5993) :args (@t3676)) % 1.12/1.36 (step @p5995 :rule cong :premises (@p5994) :args ((forall @t9 @t3676))) % 1.12/1.36 (step @p5996 :rule nary_cong :premises (@p2504 @p2498) :args (@t2979)) % 1.12/1.36 (step @p5997 :rule cong :premises (@p5996) :args ((forall @t70 @t2979))) % 1.12/1.36 (step @p5998 :rule beta-reduce :args ((= @t3677 @t153))) % 1.12/1.36 (step @p5999 :rule cong :premises (@p5998) :args (@t3678)) % 1.12/1.36 (step @p6000 :rule nary_cong :premises (@p5999 @p3672) :args (@t3679)) % 1.12/1.36 (step @p6001 :rule cong :premises (@p6000) :args (@t3680)) % 1.12/1.36 (step @p6002 :rule trans :premises (@p6001 @p5997)) % 1.12/1.36 (step @p6003 :rule cong :premises (@p6002) :args (@t3681)) % 1.12/1.36 (step @p6004 :rule beta-reduce :args ((= @t3682 @t144))) % 1.12/1.36 (step @p6005 :rule cong :premises (@p6004) :args (@t3683)) % 1.12/1.36 (step @p6006 :rule nary_cong :premises (@p6005 @p6003) :args (@t3684)) % 1.12/1.36 (step @p6007 :rule cong :premises (@p6006) :args (@t3685)) % 1.12/1.36 (step @p6008 :rule trans :premises (@p6007 @p5995)) % 1.12/1.36 (step @p6009 :rule cong :premises (@p6008) :args (@t3686)) % 1.12/1.36 (step @p6010 :rule beta-reduce :args ((= @t3687 @t3686))) % 1.12/1.36 (step @p6011 :rule trans :premises (@p6010 @p6009)) % 1.12/1.36 (step @p6012 :rule cong :premises (@p6011 @p5992) :args (@t3688)) % 1.12/1.36 (step @p6013 :rule aci_norm :args ((= (or false @t1933) @t1933))) % 1.12/1.36 (step @p6014 :rule refl :args (@t1933)) % 1.12/1.36 (step @p6015 :rule nary_cong :premises (@p3613 @p6014) :args (@t3689)) % 1.12/1.36 (step @p6016 :rule trans :premises (@p6015 @p6013)) % 1.12/1.36 (step @p6017 :rule cong :premises (@p6016) :args ((forall @t70 @t3689))) % 1.12/1.36 (step @p6018 :rule quant-var-elim-eq :args ((= (forall @t9 @t3690) @t3689))) % 1.12/1.36 (step @p6019 :rule aci_norm :args ((= @t3691 @t3690))) % 1.12/1.36 (step @p6020 :rule cong :premises (@p6019) :args (@t3692)) % 1.12/1.36 (step @p6021 :rule trans :premises (@p6020 @p6018)) % 1.12/1.36 (step @p6022 :rule cong :premises (@p6021) :args (@t3693)) % 1.12/1.36 (step @p6023 :rule quant-merge-prenex :args ((= @t3693 @t3694))) % 1.12/1.36 (step @p6024 :rule symm :premises (@p6023)) % 1.12/1.36 (step @p6025 :rule quant_var_reordering :args ((= (forall @t135 @t3691) @t3694))) % 1.12/1.36 (step @p6026 :rule trans :premises (@p6025 @p6024 @p6022)) % 1.12/1.36 (step @p6027 :rule trans :premises (@p6026 @p6017)) % 1.12/1.36 (step @p6028 :rule nary_cong :premises (@p3638 @p5858) :args (@t3633)) % 1.12/1.36 (step @p6029 :rule cong :premises (@p6028) :args ((forall @t135 @t3633))) % 1.12/1.36 (step @p6030 :rule trans :premises (@p6029 @p6027)) % 1.12/1.36 (step @p6031 :rule cong :premises (@p5863) :args (@t376)) % 1.12/1.36 (step @p6032 :rule trans :premises (@p6031 @p6030)) % 1.12/1.36 (step @p6033 :rule cong :premises (@p6032 @p6012) :args (@t3695)) % 1.12/1.36 (step @p6034 :rule cong :premises (@p6033) :args (@t3696)) % 1.12/1.36 (step @p6035 :rule trans :premises (@p6034 @p5969)) % 1.12/1.36 (step @p6036 :rule refl :args (tptp.descr__Cong)) % 1.12/1.36 (step @p6037 :rule cong :premises (@p6036 @p6035) :args ((= tptp.descr__Cong @t3696))) % 1.12/1.36 (step @p6038 :rule refl :args (@t370)) % 1.12/1.36 (step @p6039 :rule bool-and-de-morgan :args (@t144 @t1951 true)) % 1.12/1.36 (step @p6040 :rule cong :premises (@p6039) :args (@t3698)) % 1.12/1.36 (step @p6041 :rule trans :premises (@p6040 @p5995)) % 1.12/1.36 (step @p6042 :rule cong :premises (@p6041) :args (@t3699)) % 1.12/1.36 (step @p6043 :rule exists-elim :args ((= (exists @t9 @t3697) @t3699))) % 1.12/1.36 (step @p6044 :rule trans :premises (@p6043 @p6042)) % 1.12/1.36 (step @p6045 :rule cong :premises (@p2516) :args (@t167)) % 1.12/1.36 (step @p6046 :rule trans :premises (@p6045 @p5997)) % 1.12/1.36 (step @p6047 :rule nary_cong :premises (@p3967 @p6046) :args (@t168)) % 1.12/1.36 (step @p6048 :rule cong :premises (@p6047) :args (@t169)) % 1.12/1.36 (step @p6049 :rule trans :premises (@p6048 @p6044)) % 1.12/1.36 (step @p6050 :rule cong :premises (@p6049) :args (@t1366)) % 1.12/1.36 (step @p6051 :rule trans :premises (@p229 @p6050)) % 1.12/1.36 (step @p6052 :rule ho_cong :premises (@p6051 @p6038)) % 1.12/1.36 (step @p6053 :rule cong :premises (@p6052 @p5970) :args (@t405)) % 1.12/1.36 (step @p6054 :rule ho_cong :premises (@p6051 @p2537)) % 1.12/1.36 (step @p6055 :rule cong :premises (@p6054 @p6053) :args (@t406)) % 1.12/1.36 (step @p6056 :rule refl :args (@t376)) % 1.12/1.36 (step @p6057 :rule cong :premises (@p6056 @p6055) :args (@t407)) % 1.12/1.36 (step @p6058 :rule cong :premises (@p6057) :args (@t408)) % 1.12/1.36 (step @p6059 :rule cong :premises (@p6036 @p6058) :args (@t409)) % 1.12/1.36 (step @p6060 :rule trans :premises (@p6059 @p6037)) % 1.12/1.36 (step @p6061 :rule eq_resolve :premises (@p74 @p6060)) % 1.12/1.36 (step @p6062 :rule cong :premises (@p6061 @p5883) :args (@t3700)) % 1.12/1.36 (step @p6063 :rule refl :args (@t1940)) % 1.12/1.36 (step @p6064 :rule refl :args (@t1941)) % 1.12/1.36 (step @p6065 :rule refl :args (@t1942)) % 1.12/1.36 (step @p6066 :rule eq-symm :args (@t1943 @t19)) % 1.12/1.36 (step @p6067 :rule nary_cong :premises (@p5891 @p6066) :args (@t3701)) % 1.12/1.36 (step @p6068 :rule cong :premises (@p6067) :args (@t3702)) % 1.12/1.36 (step @p6069 :rule cong :premises (@p6068) :args (@t3703)) % 1.12/1.36 (step @p6070 :rule refl :args (@t1944)) % 1.12/1.36 (step @p6071 :rule nary_cong :premises (@p6070 @p6069 @p6065 @p6064 @p6063) :args (@t3704)) % 1.12/1.36 (step @p6072 :rule aci_norm :args ((= @t3707 @t3704))) % 1.12/1.36 (step @p6073 :rule trans :premises (@p6072 @p6071)) % 1.12/1.36 (step @p6074 :rule cong :premises (@p6073) :args (@t3708)) % 1.12/1.36 (step @p6075 :rule quant-merge-prenex :args ((= (forall @t150 @t3709) @t3708))) % 1.12/1.36 (step @p6076 :rule alpha_equiv :args (@t3710 (@list @t1939 @t1938) (@list @t4 @t19))) % 1.12/1.36 (step @p6077 :rule alpha_equiv :args (@t3711 (@list @t1943) @t2487)) % 1.12/1.36 (step @p6078 :rule nary_cong :premises (@p6077 @p6076) :args (@t3712)) % 1.12/1.36 (step @p6079 :rule quant-miniscope-or :args ((= @t3709 @t3712))) % 1.12/1.36 (step @p6080 :rule trans :premises (@p6079 @p6078)) % 1.12/1.36 (step @p6081 :rule symm :premises (@p6080)) % 1.12/1.36 (step @p6082 :rule cong :premises (@p6081) :args ((forall @t150 (or @t1953 @t1960)))) % 1.12/1.36 (step @p6083 :rule trans :premises (@p6082 @p6075)) % 1.12/1.36 (step @p6084 :rule trans :premises (@p6083 @p6074)) % 1.12/1.36 (step @p6085 :rule refl :args (@t1960)) % 1.12/1.36 (step @p6086 :rule nary_cong :premises (@p5959 @p6085) :args ((or @t3657 @t1960))) % 1.12/1.36 (step @p6087 :rule bool-impl-elim :args (@t1954 @t1960)) % 1.12/1.36 (step @p6088 :rule trans :premises (@p6087 @p6086)) % 1.12/1.36 (step @p6089 :rule cong :premises (@p6088) :args ((forall @t150 (=> @t1954 @t1960)))) % 1.12/1.36 (step @p6090 :rule trans :premises (@p6089 @p6084)) % 1.12/1.36 (step @p6091 :rule nary_cong :premises (@p2489 @p2504 @p2498) :args (@t2978)) % 1.12/1.36 (step @p6092 :rule cong :premises (@p6091) :args ((forall @t135 @t2978))) % 1.12/1.36 (step @p6093 :rule cong :premises (@p2521) :args (@t346)) % 1.12/1.36 (step @p6094 :rule trans :premises (@p6093 @p6092)) % 1.12/1.36 (step @p6095 :rule cong :premises (@p6011 @p6094) :args (@t3713)) % 1.12/1.36 (step @p6096 :rule cong :premises (@p6095) :args (@t3714)) % 1.12/1.36 (step @p6097 :rule trans :premises (@p6096 @p6090)) % 1.12/1.36 (step @p6098 :rule refl :args (tptp.exuEu)) % 1.12/1.36 (step @p6099 :rule cong :premises (@p6098 @p6097) :args ((= tptp.exuEu @t3714))) % 1.12/1.36 (step @p6100 :rule refl :args (@t346)) % 1.12/1.36 (step @p6101 :rule cong :premises (@p6054 @p6100) :args (@t365)) % 1.12/1.36 (step @p6102 :rule cong :premises (@p6101) :args (@t366)) % 1.12/1.36 (step @p6103 :rule cong :premises (@p6098 @p6102) :args (@t402)) % 1.12/1.36 (step @p6104 :rule trans :premises (@p6103 @p6099)) % 1.12/1.36 (step @p6105 :rule eq_resolve :premises (@p73 @p6104)) % 1.12/1.36 (step @p6106 :rule cong :premises (@p6105 @p6062) :args (@t3715)) % 1.12/1.36 (step @p6107 :rule bool-eq-true :args (tptp.omega__Cong)) % 1.12/1.36 (step @p6108 :rule symm :premises (@p6107)) % 1.12/1.36 (step @p6109 :rule eq-refl :args (tptp.omega)) % 1.12/1.36 (step @p6110 :rule refl :args (tptp.omega__Cong)) % 1.12/1.36 (step @p6111 :rule cong :premises (@p6110 @p6109) :args (@t401)) % 1.12/1.36 (step @p6112 :rule trans :premises (@p6111 @p6107)) % 1.12/1.36 (step @p6113 :rule eq_resolve :premises (@p72 @p6112)) % 1.12/1.36 (step @p6114 :rule eq_resolve :premises (@p6113 @p6108)) % 1.12/1.36 (step @p6115 :rule cong :premises (@p6114 @p6106) :args (@t3716)) % 1.12/1.36 (step @p6116 :rule bool-eq-true :args (tptp.setunion__Cong)) % 1.12/1.36 (step @p6117 :rule symm :premises (@p6116)) % 1.12/1.36 (step @p6118 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 1.12/1.36 (step @p6119 :rule evaluate :args ((or false true))) % 1.12/1.36 (step @p6120 :rule eq-refl :args (@t3717)) % 1.12/1.36 (step @p6121 :rule nary_cong :premises (@p5577 @p6120) :args (@t3718)) % 1.12/1.36 (step @p6122 :rule trans :premises (@p6121 @p6119)) % 1.12/1.36 (step @p6123 :rule cong :premises (@p6122) :args ((forall @t41 @t3718))) % 1.12/1.36 (step @p6124 :rule trans :premises (@p6123 @p6118)) % 1.12/1.36 (step @p6125 :rule quant-var-elim-eq :args ((= (forall @t64 @t3720) @t3718))) % 1.12/1.36 (step @p6126 :rule aci_norm :args ((= @t3721 @t3720))) % 1.12/1.36 (step @p6127 :rule cong :premises (@p6126) :args (@t3722)) % 1.12/1.36 (step @p6128 :rule trans :premises (@p6127 @p6125)) % 1.12/1.36 (step @p6129 :rule cong :premises (@p6128) :args (@t3723)) % 1.12/1.36 (step @p6130 :rule quant-merge-prenex :args ((= @t3723 @t3724))) % 1.12/1.36 (step @p6131 :rule symm :premises (@p6130)) % 1.12/1.36 (step @p6132 :rule quant_var_reordering :args ((= (forall @t12 @t3721) @t3724))) % 1.12/1.36 (step @p6133 :rule trans :premises (@p6132 @p6131 @p6129)) % 1.12/1.36 (step @p6134 :rule trans :premises (@p6133 @p6124)) % 1.12/1.36 (step @p6135 :rule refl :args (@t3717)) % 1.12/1.36 (step @p6136 :rule refl :args (@t397)) % 1.12/1.36 (step @p6137 :rule cong :premises (@p6136 @p6135) :args ((= @t397 @t3717))) % 1.12/1.36 (step @p6138 :rule symm :premises (@p6137)) % 1.12/1.36 (step @p6139 :rule eq_resolve :premises (@p6136 @p6138)) % 1.12/1.36 (step @p6140 :rule cong :premises (@p4094 @p6139) :args (@t398)) % 1.12/1.36 (step @p6141 :rule nary_cong :premises (@p5592 @p6140) :args (@t3725)) % 1.12/1.36 (step @p6142 :rule cong :premises (@p6141) :args ((forall @t12 @t3725))) % 1.12/1.36 (step @p6143 :rule trans :premises (@p6142 @p6134)) % 1.12/1.36 (step @p6144 :rule bool-impl-elim :args (@t3 @t398)) % 1.12/1.36 (step @p6145 :rule cong :premises (@p6144) :args (@t399)) % 1.12/1.36 (step @p6146 :rule trans :premises (@p6145 @p6143)) % 1.12/1.36 (step @p6147 :rule refl :args (tptp.setunion__Cong)) % 1.12/1.36 (step @p6148 :rule cong :premises (@p6147 @p6146) :args (@t400)) % 1.12/1.36 (step @p6149 :rule trans :premises (@p6148 @p6116)) % 1.12/1.36 (step @p6150 :rule eq_resolve :premises (@p71 @p6149)) % 1.12/1.36 (step @p6151 :rule eq_resolve :premises (@p6150 @p6117)) % 1.12/1.36 (step @p6152 :rule cong :premises (@p6151 @p6115) :args (@t3726)) % 1.12/1.36 (step @p6153 :rule bool-eq-true :args (tptp.powerset__Cong)) % 1.12/1.36 (step @p6154 :rule symm :premises (@p6153)) % 1.12/1.36 (step @p6155 :rule eq-refl :args (@t1879)) % 1.12/1.36 (step @p6156 :rule nary_cong :premises (@p5577 @p6155) :args (@t3727)) % 1.12/1.36 (step @p6157 :rule trans :premises (@p6156 @p6119)) % 1.12/1.36 (step @p6158 :rule cong :premises (@p6157) :args ((forall @t41 @t3727))) % 1.12/1.36 (step @p6159 :rule trans :premises (@p6158 @p6118)) % 1.12/1.36 (step @p6160 :rule quant-var-elim-eq :args ((= (forall @t64 @t3729) @t3727))) % 1.12/1.36 (step @p6161 :rule aci_norm :args ((= @t3730 @t3729))) % 1.12/1.36 (step @p6162 :rule cong :premises (@p6161) :args (@t3731)) % 1.12/1.36 (step @p6163 :rule trans :premises (@p6162 @p6160)) % 1.12/1.36 (step @p6164 :rule cong :premises (@p6163) :args (@t3732)) % 1.12/1.36 (step @p6165 :rule quant-merge-prenex :args ((= @t3732 @t3733))) % 1.12/1.36 (step @p6166 :rule symm :premises (@p6165)) % 1.12/1.36 (step @p6167 :rule quant_var_reordering :args ((= (forall @t12 @t3730) @t3733))) % 1.12/1.36 (step @p6168 :rule trans :premises (@p6167 @p6166 @p6164)) % 1.12/1.36 (step @p6169 :rule trans :premises (@p6168 @p6159)) % 1.12/1.36 (step @p6170 :rule cong :premises (@p4512 @p5379) :args (@t394)) % 1.12/1.36 (step @p6171 :rule nary_cong :premises (@p5592 @p6170) :args (@t3734)) % 1.12/1.36 (step @p6172 :rule cong :premises (@p6171) :args ((forall @t12 @t3734))) % 1.12/1.36 (step @p6173 :rule trans :premises (@p6172 @p6169)) % 1.12/1.36 (step @p6174 :rule bool-impl-elim :args (@t3 @t394)) % 1.12/1.36 (step @p6175 :rule cong :premises (@p6174) :args (@t395)) % 1.12/1.36 (step @p6176 :rule trans :premises (@p6175 @p6173)) % 1.12/1.36 (step @p6177 :rule refl :args (tptp.powerset__Cong)) % 1.12/1.36 (step @p6178 :rule cong :premises (@p6177 @p6176) :args (@t396)) % 1.12/1.36 (step @p6179 :rule trans :premises (@p6178 @p6153)) % 1.12/1.36 (step @p6180 :rule eq_resolve :premises (@p70 @p6179)) % 1.12/1.36 (step @p6181 :rule eq_resolve :premises (@p6180 @p6154)) % 1.12/1.36 (step @p6182 :rule cong :premises (@p6181 @p6152) :args (@t3735)) % 1.12/1.36 (step @p6183 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 1.12/1.36 (step @p6184 :rule symm :premises (@p6183)) % 1.12/1.36 (step @p6185 :rule quant-unused-vars :args ((= (forall @t3737 true) true))) % 1.12/1.36 (step @p6186 :rule eq-refl :args (@t3738)) % 1.12/1.36 (step @p6187 :rule nary_cong :premises (@p3613 @p6186) :args (@t3739)) % 1.12/1.36 (step @p6188 :rule trans :premises (@p6187 @p6119)) % 1.12/1.36 (step @p6189 :rule cong :premises (@p6188) :args ((forall @t3737 @t3739))) % 1.12/1.36 (step @p6190 :rule trans :premises (@p6189 @p6185)) % 1.12/1.36 (step @p6191 :rule quant-var-elim-eq :args ((= (forall @t9 @t3741) @t3739))) % 1.12/1.36 (step @p6192 :rule aci_norm :args ((= @t3742 @t3741))) % 1.12/1.36 (step @p6193 :rule cong :premises (@p6192) :args (@t3743)) % 1.12/1.36 (step @p6194 :rule trans :premises (@p6193 @p6191)) % 1.12/1.36 (step @p6195 :rule cong :premises (@p6194) :args (@t3744)) % 1.12/1.36 (step @p6196 :rule quant-merge-prenex :args ((= @t3744 @t3745))) % 1.12/1.36 (step @p6197 :rule symm :premises (@p6196)) % 1.12/1.36 (step @p6198 :rule quant_var_reordering :args ((= @t3746 @t3745))) % 1.12/1.36 (step @p6199 :rule trans :premises (@p6198 @p6197 @p6195)) % 1.12/1.36 (step @p6200 :rule trans :premises (@p6199 @p6190)) % 1.12/1.36 (step @p6201 :rule quant-merge-prenex :args ((= (forall @t135 @t3748) @t3746))) % 1.12/1.36 (step @p6202 :rule alpha_equiv :args (@t3749 (@list @t3736) (@list @t383))) % 1.12/1.36 (step @p6203 :rule nary_cong :premises (@p3638 @p6202) :args (@t3750)) % 1.12/1.36 (step @p6204 :rule quant-miniscope-or :args ((= @t3748 @t3750))) % 1.12/1.36 (step @p6205 :rule trans :premises (@p6204 @p6203)) % 1.12/1.36 (step @p6206 :rule symm :premises (@p6205)) % 1.12/1.36 (step @p6207 :rule cong :premises (@p6206) :args ((forall @t135 (or @t282 @t3754)))) % 1.12/1.36 (step @p6208 :rule trans :premises (@p6207 @p6201)) % 1.12/1.36 (step @p6209 :rule trans :premises (@p6208 @p6200)) % 1.12/1.36 (step @p6210 :rule bool-impl-elim :args (@t129 @t3754)) % 1.12/1.36 (step @p6211 :rule cong :premises (@p6210) :args ((forall @t135 (=> @t129 @t3754)))) % 1.12/1.36 (step @p6212 :rule trans :premises (@p6211 @p6209)) % 1.12/1.36 (step @p6213 :rule aci_norm :args ((= (or false @t3753) @t3753))) % 1.12/1.36 (step @p6214 :rule eq-symm :args (@t3751 @t3752)) % 1.12/1.36 (step @p6215 :rule nary_cong :premises (@p3577 @p6214) :args (@t3755)) % 1.12/1.36 (step @p6216 :rule trans :premises (@p6215 @p6213)) % 1.12/1.36 (step @p6217 :rule cong :premises (@p6216) :args ((forall @t755 @t3755))) % 1.12/1.36 (step @p6218 :rule quant-var-elim-eq :args ((= (forall @t1064 @t3758) @t3755))) % 1.12/1.36 (step @p6219 :rule aci_norm :args ((= @t3759 @t3758))) % 1.12/1.36 (step @p6220 :rule cong :premises (@p6219) :args (@t3760)) % 1.12/1.36 (step @p6221 :rule trans :premises (@p6220 @p6218)) % 1.12/1.36 (step @p6222 :rule cong :premises (@p6221) :args (@t3761)) % 1.12/1.36 (step @p6223 :rule quant-merge-prenex :args ((= @t3761 @t3762))) % 1.12/1.36 (step @p6224 :rule symm :premises (@p6223)) % 1.12/1.36 (step @p6225 :rule quant_var_reordering :args ((= (forall @t388 @t3759) @t3762))) % 1.12/1.36 (step @p6226 :rule trans :premises (@p6225 @p6224 @p6222)) % 1.12/1.36 (step @p6227 :rule trans :premises (@p6226 @p6217)) % 1.12/1.36 (step @p6228 :rule refl :args (@t3752)) % 1.12/1.36 (step @p6229 :rule refl :args (@t384)) % 1.12/1.36 (step @p6230 :rule cong :premises (@p6229 @p6228) :args ((= @t384 @t3752))) % 1.12/1.36 (step @p6231 :rule symm :premises (@p6230)) % 1.12/1.36 (step @p6232 :rule eq_resolve :premises (@p6229 @p6231)) % 1.12/1.36 (step @p6233 :rule refl :args (@t3756)) % 1.12/1.36 (step @p6234 :rule refl :args (@t385)) % 1.12/1.36 (step @p6235 :rule cong :premises (@p6234 @p6233) :args ((= @t385 @t3756))) % 1.12/1.36 (step @p6236 :rule symm :premises (@p6235)) % 1.12/1.36 (step @p6237 :rule eq_resolve :premises (@p6234 @p6236)) % 1.12/1.36 (step @p6238 :rule cong :premises (@p6237 @p6232) :args (@t386)) % 1.12/1.36 (step @p6239 :rule nary_cong :premises (@p3592 @p6238) :args (@t3763)) % 1.12/1.36 (step @p6240 :rule cong :premises (@p6239) :args ((forall @t388 @t3763))) % 1.12/1.36 (step @p6241 :rule trans :premises (@p6240 @p6227)) % 1.12/1.36 (step @p6242 :rule bool-impl-elim :args (@t387 @t386)) % 1.12/1.36 (step @p6243 :rule cong :premises (@p6242) :args (@t389)) % 1.12/1.36 (step @p6244 :rule trans :premises (@p6243 @p6241)) % 1.12/1.36 (step @p6245 :rule cong :premises (@p3672 @p6244) :args (@t390)) % 1.12/1.36 (step @p6246 :rule cong :premises (@p6245) :args (@t391)) % 1.12/1.36 (step @p6247 :rule trans :premises (@p6246 @p6212)) % 1.12/1.36 (step @p6248 :rule refl :args (tptp.setadjoin__Cong)) % 1.12/1.36 (step @p6249 :rule cong :premises (@p6248 @p6247) :args (@t392)) % 1.12/1.36 (step @p6250 :rule trans :premises (@p6249 @p6183)) % 1.12/1.36 (step @p6251 :rule eq_resolve :premises (@p69 @p6250)) % 1.12/1.36 (step @p6252 :rule eq_resolve :premises (@p6251 @p6184)) % 1.12/1.36 (step @p6253 :rule cong :premises (@p6252 @p6182) :args (@t3764)) % 1.12/1.36 (step @p6254 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 1.12/1.36 (step @p6255 :rule symm :premises (@p6254)) % 1.12/1.36 (step @p6256 :rule eq-refl :args (tptp.emptyset)) % 1.12/1.36 (step @p6257 :rule refl :args (tptp.emptyset__Cong)) % 1.12/1.36 (step @p6258 :rule cong :premises (@p6257 @p6256) :args (@t382)) % 1.12/1.36 (step @p6259 :rule trans :premises (@p6258 @p6254)) % 1.12/1.36 (step @p6260 :rule eq_resolve :premises (@p68 @p6259)) % 1.12/1.36 (step @p6261 :rule eq_resolve :premises (@p6260 @p6255)) % 1.12/1.36 (step @p6262 :rule cong :premises (@p6261 @p6253) :args (@t3765)) % 1.12/1.36 (step @p6263 :rule bool-impl-elim :args (@t1934 @t1955)) % 1.12/1.36 (step @p6264 :rule cong :premises (@p6263) :args ((forall @t378 (=> @t1934 @t1955)))) % 1.12/1.36 (step @p6265 :rule cong :premises (@p6011 @p5991) :args (@t3766)) % 1.12/1.36 (step @p6266 :rule cong :premises (@p6032 @p6265) :args (@t3767)) % 1.12/1.36 (step @p6267 :rule cong :premises (@p6266) :args (@t3768)) % 1.12/1.36 (step @p6268 :rule trans :premises (@p6267 @p6264)) % 1.12/1.36 (step @p6269 :rule refl :args (tptp.exu__Cong)) % 1.12/1.36 (step @p6270 :rule cong :premises (@p6269 @p6268) :args ((= tptp.exu__Cong @t3768))) % 1.12/1.36 (step @p6271 :rule cong :premises (@p6054 @p6052) :args (@t372)) % 1.12/1.36 (step @p6272 :rule cong :premises (@p6056 @p6271) :args (@t377)) % 1.12/1.36 (step @p6273 :rule cong :premises (@p6272) :args (@t379)) % 1.12/1.36 (step @p6274 :rule cong :premises (@p6269 @p6273) :args (@t380)) % 1.12/1.36 (step @p6275 :rule trans :premises (@p6274 @p6270)) % 1.12/1.36 (step @p6276 :rule eq_resolve :premises (@p67 @p6275)) % 1.12/1.36 (step @p6277 :rule cong :premises (@p6276 @p6262) :args (@t3769)) % 1.12/1.36 (step @p6278 :rule refl :args (tptp.exuE3u)) % 1.12/1.36 (step @p6279 :rule cong :premises (@p6278 @p6097) :args ((= tptp.exuE3u @t3714))) % 1.12/1.36 (step @p6280 :rule cong :premises (@p6278 @p6102) :args (@t367)) % 1.12/1.36 (step @p6281 :rule trans :premises (@p6280 @p6279)) % 1.12/1.36 (step @p6282 :rule eq_resolve :premises (@p66 @p6281)) % 1.12/1.36 (step @p6283 :rule cong :premises (@p6282 @p6277) :args (@t3770)) % 1.12/1.36 (step @p6284 :rule bool-eq-true :args (tptp.in__Cong)) % 1.12/1.36 (step @p6285 :rule symm :premises (@p6284)) % 1.12/1.36 (step @p6286 :rule quant-unused-vars :args ((= (forall @t3772 true) true))) % 1.12/1.36 (step @p6287 :rule eq-refl :args (@t3773)) % 1.12/1.36 (step @p6288 :rule nary_cong :premises (@p5577 @p6287) :args (@t3774)) % 1.12/1.36 (step @p6289 :rule trans :premises (@p6288 @p6119)) % 1.12/1.36 (step @p6290 :rule cong :premises (@p6289) :args ((forall @t3772 @t3774))) % 1.12/1.36 (step @p6291 :rule trans :premises (@p6290 @p6286)) % 1.12/1.36 (step @p6292 :rule quant-var-elim-eq :args ((= (forall @t64 @t3776) @t3774))) % 1.12/1.36 (step @p6293 :rule aci_norm :args ((= @t3777 @t3776))) % 1.12/1.36 (step @p6294 :rule cong :premises (@p6293) :args (@t3778)) % 1.12/1.36 (step @p6295 :rule trans :premises (@p6294 @p6292)) % 1.12/1.36 (step @p6296 :rule cong :premises (@p6295) :args (@t3779)) % 1.12/1.36 (step @p6297 :rule quant-merge-prenex :args ((= @t3779 @t3780))) % 1.12/1.36 (step @p6298 :rule symm :premises (@p6297)) % 1.12/1.36 (step @p6299 :rule quant_var_reordering :args ((= @t3781 @t3780))) % 1.12/1.36 (step @p6300 :rule trans :premises (@p6299 @p6298 @p6296)) % 1.12/1.36 (step @p6301 :rule trans :premises (@p6300 @p6291)) % 1.12/1.36 (step @p6302 :rule quant-merge-prenex :args ((= (forall @t12 @t3783) @t3781))) % 1.12/1.36 (step @p6303 :rule alpha_equiv :args (@t3784 (@list @t3771) @t2413)) % 1.12/1.36 (step @p6304 :rule nary_cong :premises (@p5592 @p6303) :args (@t3785)) % 1.12/1.36 (step @p6305 :rule quant-miniscope-or :args ((= @t3783 @t3785))) % 1.12/1.36 (step @p6306 :rule trans :premises (@p6305 @p6304)) % 1.12/1.36 (step @p6307 :rule symm :premises (@p6306)) % 1.12/1.36 (step @p6308 :rule cong :premises (@p6307) :args ((forall @t12 (or @t445 @t3787)))) % 1.12/1.36 (step @p6309 :rule trans :premises (@p6308 @p6302)) % 1.12/1.36 (step @p6310 :rule trans :premises (@p6309 @p6301)) % 1.12/1.36 (step @p6311 :rule bool-impl-elim :args (@t3 @t3787)) % 1.12/1.36 (step @p6312 :rule cong :premises (@p6311) :args ((forall @t12 (=> @t3 @t3787)))) % 1.12/1.36 (step @p6313 :rule trans :premises (@p6312 @p6310)) % 1.12/1.36 (step @p6314 :rule aci_norm :args ((= (or false @t3786) @t3786))) % 1.12/1.36 (step @p6315 :rule refl :args (@t3786)) % 1.12/1.36 (step @p6316 :rule nary_cong :premises (@p3613 @p6315) :args (@t3788)) % 1.12/1.36 (step @p6317 :rule trans :premises (@p6316 @p6314)) % 1.12/1.36 (step @p6318 :rule cong :premises (@p6317) :args ((forall @t70 @t3788))) % 1.12/1.36 (step @p6319 :rule quant-var-elim-eq :args ((= (forall @t9 @t3790) @t3788))) % 1.12/1.36 (step @p6320 :rule aci_norm :args ((= @t3791 @t3790))) % 1.12/1.36 (step @p6321 :rule cong :premises (@p6320) :args (@t3792)) % 1.12/1.36 (step @p6322 :rule trans :premises (@p6321 @p6319)) % 1.12/1.36 (step @p6323 :rule cong :premises (@p6322) :args (@t3793)) % 1.12/1.36 (step @p6324 :rule quant-merge-prenex :args ((= @t3793 @t3794))) % 1.12/1.36 (step @p6325 :rule symm :premises (@p6324)) % 1.12/1.36 (step @p6326 :rule quant_var_reordering :args ((= (forall @t135 @t3791) @t3794))) % 1.12/1.36 (step @p6327 :rule trans :premises (@p6326 @p6325 @p6323)) % 1.12/1.36 (step @p6328 :rule trans :premises (@p6327 @p6318)) % 1.12/1.36 (step @p6329 :rule cong :premises (@p757 @p1995) :args (@t360)) % 1.12/1.36 (step @p6330 :rule nary_cong :premises (@p3638 @p6329) :args (@t3795)) % 1.12/1.36 (step @p6331 :rule cong :premises (@p6330) :args ((forall @t135 @t3795))) % 1.12/1.36 (step @p6332 :rule trans :premises (@p6331 @p6328)) % 1.12/1.36 (step @p6333 :rule bool-impl-elim :args (@t129 @t360)) % 1.12/1.36 (step @p6334 :rule cong :premises (@p6333) :args (@t361)) % 1.12/1.36 (step @p6335 :rule trans :premises (@p6334 @p6332)) % 1.12/1.36 (step @p6336 :rule cong :premises (@p5876 @p6335) :args (@t362)) % 1.12/1.36 (step @p6337 :rule cong :premises (@p6336) :args (@t363)) % 1.12/1.36 (step @p6338 :rule trans :premises (@p6337 @p6313)) % 1.12/1.36 (step @p6339 :rule refl :args (tptp.in__Cong)) % 1.12/1.36 (step @p6340 :rule cong :premises (@p6339 @p6338) :args (@t364)) % 1.12/1.36 (step @p6341 :rule trans :premises (@p6340 @p6284)) % 1.12/1.36 (step @p6342 :rule eq_resolve :premises (@p65 @p6341)) % 1.12/1.36 (step @p6343 :rule eq_resolve :premises (@p6342 @p6285)) % 1.12/1.36 (step @p6344 :rule cong :premises (@p6343 @p6283) :args (@t3796)) % 1.12/1.36 (step @p6345 :rule bool-eq-true :args (tptp.inCongP)) % 1.12/1.36 (step @p6346 :rule symm :premises (@p6345)) % 1.12/1.36 (step @p6347 :rule quant-unused-vars :args ((= (forall @t3798 true) true))) % 1.12/1.36 (step @p6348 :rule bool-or-taut2 :args (false @t3799 false false)) % 1.12/1.36 (step @p6349 :rule cong :premises (@p6348) :args ((forall @t3798 @t3801))) % 1.12/1.36 (step @p6350 :rule trans :premises (@p6349 @p6347)) % 1.12/1.36 (step @p6351 :rule aci_norm :args ((= (or false @t3800 @t3799) @t3801))) % 1.12/1.36 (step @p6352 :rule refl :args (@t3799)) % 1.12/1.36 (step @p6353 :rule refl :args (@t3800)) % 1.12/1.36 (step @p6354 :rule nary_cong :premises (@p5577 @p6353 @p6352) :args (@t3802)) % 1.12/1.36 (step @p6355 :rule trans :premises (@p6354 @p6351)) % 1.12/1.36 (step @p6356 :rule cong :premises (@p6355) :args ((forall @t3798 @t3802))) % 1.12/1.36 (step @p6357 :rule trans :premises (@p6356 @p6350)) % 1.12/1.36 (step @p6358 :rule quant-var-elim-eq :args ((= (forall @t64 @t3804) @t3802))) % 1.12/1.36 (step @p6359 :rule aci_norm :args ((= @t3805 @t3804))) % 1.12/1.36 (step @p6360 :rule cong :premises (@p6359) :args (@t3806)) % 1.12/1.36 (step @p6361 :rule trans :premises (@p6360 @p6358)) % 1.12/1.36 (step @p6362 :rule cong :premises (@p6361) :args (@t3807)) % 1.12/1.36 (step @p6363 :rule quant-merge-prenex :args ((= @t3807 @t3808))) % 1.12/1.36 (step @p6364 :rule symm :premises (@p6363)) % 1.12/1.36 (step @p6365 :rule quant_var_reordering :args ((= (forall @t3809 @t3805) @t3808))) % 1.12/1.36 (step @p6366 :rule trans :premises (@p6365 @p6364 @p6362)) % 1.12/1.36 (step @p6367 :rule trans :premises (@p6366 @p6357)) % 1.12/1.36 (step @p6368 :rule aci_norm :args ((= @t3811 @t3805))) % 1.12/1.36 (step @p6369 :rule cong :premises (@p6368) :args (@t3812)) % 1.12/1.36 (step @p6370 :rule trans :premises (@p6369 @p6367)) % 1.12/1.36 (step @p6371 :rule quant-merge-prenex :args ((= (forall @t12 @t3814) @t3812))) % 1.12/1.36 (step @p6372 :rule alpha_equiv :args (@t3815 (@list @t3797) @t2413)) % 1.12/1.36 (step @p6373 :rule nary_cong :premises (@p5592 @p6372) :args (@t3816)) % 1.12/1.36 (step @p6374 :rule quant-miniscope-or :args ((= @t3814 @t3816))) % 1.12/1.36 (step @p6375 :rule trans :premises (@p6374 @p6373)) % 1.12/1.36 (step @p6376 :rule symm :premises (@p6375)) % 1.12/1.36 (step @p6377 :rule cong :premises (@p6376) :args ((forall @t12 (or @t445 @t3818)))) % 1.12/1.36 (step @p6378 :rule trans :premises (@p6377 @p6371)) % 1.12/1.36 (step @p6379 :rule trans :premises (@p6378 @p6370)) % 1.12/1.36 (step @p6380 :rule bool-impl-elim :args (@t3 @t3818)) % 1.12/1.36 (step @p6381 :rule cong :premises (@p6380) :args ((forall @t12 (=> @t3 @t3818)))) % 1.12/1.36 (step @p6382 :rule trans :premises (@p6381 @p6379)) % 1.12/1.36 (step @p6383 :rule aci_norm :args ((= (or false @t1719 @t1603) @t3817))) % 1.12/1.36 (step @p6384 :rule refl :args (@t1719)) % 1.12/1.36 (step @p6385 :rule nary_cong :premises (@p3613 @p6384 @p3019) :args (@t3819)) % 1.12/1.36 (step @p6386 :rule trans :premises (@p6385 @p6383)) % 1.12/1.36 (step @p6387 :rule cong :premises (@p6386) :args ((forall @t70 @t3819))) % 1.12/1.36 (step @p6388 :rule quant-var-elim-eq :args ((= (forall @t9 @t3820) @t3819))) % 1.12/1.36 (step @p6389 :rule aci_norm :args ((= @t3821 @t3820))) % 1.12/1.36 (step @p6390 :rule cong :premises (@p6389) :args (@t3822)) % 1.12/1.36 (step @p6391 :rule trans :premises (@p6390 @p6388)) % 1.12/1.36 (step @p6392 :rule cong :premises (@p6391) :args (@t3823)) % 1.12/1.36 (step @p6393 :rule quant-merge-prenex :args ((= @t3823 @t3824))) % 1.12/1.36 (step @p6394 :rule symm :premises (@p6393)) % 1.12/1.36 (step @p6395 :rule quant_var_reordering :args ((= (forall @t135 @t3821) @t3824))) % 1.12/1.36 (step @p6396 :rule trans :premises (@p6395 @p6394 @p6392)) % 1.12/1.36 (step @p6397 :rule trans :premises (@p6396 @p6387)) % 1.12/1.36 (step @p6398 :rule nary_cong :premises (@p3638 @p758 @p1995) :args (@t3825)) % 1.12/1.36 (step @p6399 :rule cong :premises (@p6398) :args ((forall @t135 @t3825))) % 1.12/1.36 (step @p6400 :rule trans :premises (@p6399 @p6397)) % 1.12/1.36 (step @p6401 :rule aci_norm :args ((= (or @t282 (or @t197 @t354)) @t3825))) % 1.12/1.36 (step @p6402 :rule bool-impl-elim :args (@t7 @t354)) % 1.12/1.36 (step @p6403 :rule nary_cong :premises (@p3638 @p6402) :args ((or @t282 @t355))) % 1.12/1.36 (step @p6404 :rule trans :premises (@p6403 @p6401)) % 1.12/1.36 (step @p6405 :rule bool-impl-elim :args (@t129 @t355)) % 1.12/1.36 (step @p6406 :rule trans :premises (@p6405 @p6404)) % 1.12/1.36 (step @p6407 :rule cong :premises (@p6406) :args (@t356)) % 1.12/1.36 (step @p6408 :rule trans :premises (@p6407 @p6400)) % 1.12/1.36 (step @p6409 :rule cong :premises (@p5876 @p6408) :args (@t357)) % 1.12/1.36 (step @p6410 :rule cong :premises (@p6409) :args (@t358)) % 1.12/1.36 (step @p6411 :rule trans :premises (@p6410 @p6382)) % 1.12/1.36 (step @p6412 :rule refl :args (tptp.inCongP)) % 1.12/1.36 (step @p6413 :rule cong :premises (@p6412 @p6411) :args (@t359)) % 1.12/1.36 (step @p6414 :rule trans :premises (@p6413 @p6345)) % 1.12/1.36 (step @p6415 :rule eq_resolve :premises (@p64 @p6414)) % 1.12/1.36 (step @p6416 :rule eq_resolve :premises (@p6415 @p6346)) % 1.12/1.36 (step @p6417 :rule cong :premises (@p6416 @p6344) :args (@t3826)) % 1.12/1.36 (step @p6418 :rule refl :args (@t1954)) % 1.12/1.36 (step @p6419 :rule eq-symm :args (@t1957 @t19)) % 1.12/1.36 (step @p6420 :rule refl :args (@t1716)) % 1.12/1.36 (step @p6421 :rule cong :premises (@p6420 @p6419) :args ((= @t1716 @t3827))) % 1.12/1.36 (step @p6422 :rule eq-symm :args (@t3827 @t1716)) % 1.12/1.36 (step @p6423 :rule trans :premises (@p6422 @p6421)) % 1.12/1.36 (step @p6424 :rule cong :premises (@p6423) :args (@t3828)) % 1.12/1.36 (step @p6425 :rule cong :premises (@p6424) :args (@t3829)) % 1.12/1.36 (step @p6426 :rule nary_cong :premises (@p6425 @p6418) :args (@t3830)) % 1.12/1.36 (step @p6427 :rule cong :premises (@p6426) :args (@t3831)) % 1.12/1.36 (step @p6428 :rule quant-merge-prenex :args ((= (forall @t150 @t3833) @t3831))) % 1.12/1.36 (step @p6429 :rule refl :args (@t1954)) % 1.12/1.36 (step @p6430 :rule alpha_equiv :args (@t3834 (@list @t1957) @t2487)) % 1.12/1.36 (step @p6431 :rule nary_cong :premises (@p6430 @p6429) :args (@t3835)) % 1.12/1.36 (step @p6432 :rule quant-miniscope-or :args ((= @t3833 @t3835))) % 1.12/1.36 (step @p6433 :rule trans :premises (@p6432 @p6431)) % 1.12/1.36 (step @p6434 :rule symm :premises (@p6433)) % 1.12/1.36 (step @p6435 :rule cong :premises (@p6434) :args ((forall @t150 (or @t2008 @t1954)))) % 1.12/1.36 (step @p6436 :rule trans :premises (@p6435 @p6428)) % 1.12/1.36 (step @p6437 :rule trans :premises (@p6436 @p6427)) % 1.12/1.36 (step @p6438 :rule bool-double-not-elim :args (@t2008)) % 1.12/1.36 (step @p6439 :rule nary_cong :premises (@p6438 @p6429) :args ((or (not @t2009) @t1954))) % 1.12/1.36 (step @p6440 :rule bool-impl-elim :args (@t2009 @t1954)) % 1.12/1.36 (step @p6441 :rule trans :premises (@p6440 @p6439)) % 1.12/1.36 (step @p6442 :rule cong :premises (@p6441) :args ((forall @t150 (=> @t2009 @t1954)))) % 1.12/1.36 (step @p6443 :rule trans :premises (@p6442 @p6437)) % 1.12/1.36 (step @p6444 :rule exists-elim :args ((= (exists @t9 @t2007) @t2009))) % 1.12/1.36 (step @p6445 :rule eq-symm :args (@t1716 @t129)) % 1.12/1.36 (step @p6446 :rule cong :premises (@p6445) :args ((forall @t70 (= @t1716 @t129)))) % 1.12/1.36 (step @p6447 :rule cong :premises (@p2503 @p2498) :args (@t3836)) % 1.12/1.36 (step @p6448 :rule cong :premises (@p6447) :args ((forall @t70 @t3836))) % 1.12/1.36 (step @p6449 :rule trans :premises (@p6448 @p6446)) % 1.12/1.36 (step @p6450 :rule cong :premises (@p3961 @p3960) :args (@t263)) % 1.12/1.36 (step @p6451 :rule cong :premises (@p6450) :args (@t264)) % 1.12/1.36 (step @p6452 :rule trans :premises (@p6451 @p6449)) % 1.12/1.36 (step @p6453 :rule cong :premises (@p6452) :args (@t265)) % 1.12/1.36 (step @p6454 :rule trans :premises (@p6453 @p6444)) % 1.12/1.36 (step @p6455 :rule cong :premises (@p6454 @p6011) :args (@t3837)) % 1.12/1.36 (step @p6456 :rule cong :premises (@p6455) :args (@t3838)) % 1.12/1.36 (step @p6457 :rule trans :premises (@p6456 @p6443)) % 1.12/1.36 (step @p6458 :rule refl :args (tptp.exuI2)) % 1.12/1.36 (step @p6459 :rule cong :premises (@p6458 @p6457) :args ((= tptp.exuI2 @t3838))) % 1.12/1.36 (step @p6460 :rule refl :args (@t265)) % 1.12/1.36 (step @p6461 :rule cong :premises (@p6460 @p6054) :args (@t351)) % 1.12/1.36 (step @p6462 :rule cong :premises (@p6461) :args (@t352)) % 1.12/1.36 (step @p6463 :rule cong :premises (@p6458 @p6462) :args (@t353)) % 1.12/1.36 (step @p6464 :rule trans :premises (@p6463 @p6459)) % 1.12/1.36 (step @p6465 :rule eq_resolve :premises (@p63 @p6464)) % 1.12/1.36 (step @p6466 :rule cong :premises (@p6465 @p6417) :args (@t3839)) % 1.12/1.36 (step @p6467 :rule quant-merge-prenex :args ((= (forall @t150 @t3841) @t1965))) % 1.12/1.36 (step @p6468 :rule refl :args (@t1961)) % 1.12/1.36 (step @p6469 :rule alpha_equiv :args (@t3842 (@list @t1962) @t2487)) % 1.12/1.36 (step @p6470 :rule nary_cong :premises (@p6469 @p6468 @p6429) :args (@t3843)) % 1.12/1.36 (step @p6471 :rule quant-miniscope-or :args ((= @t3841 @t3843))) % 1.12/1.36 (step @p6472 :rule trans :premises (@p6471 @p6470)) % 1.12/1.36 (step @p6473 :rule symm :premises (@p6472)) % 1.12/1.36 (step @p6474 :rule cong :premises (@p6473) :args ((forall @t150 @t3844))) % 1.12/1.36 (step @p6475 :rule trans :premises (@p6474 @p6467)) % 1.12/1.36 (step @p6476 :rule aci_norm :args ((= (or @t2072 (or @t1961 @t1954)) @t3844))) % 1.12/1.36 (step @p6477 :rule bool-impl-elim :args (@t1960 @t1954)) % 1.12/1.36 (step @p6478 :rule refl :args (@t2072)) % 1.12/1.36 (step @p6479 :rule nary_cong :premises (@p6478 @p6477) :args ((or @t2072 @t3845))) % 1.12/1.36 (step @p6480 :rule trans :premises (@p6479 @p6476)) % 1.12/1.36 (step @p6481 :rule refl :args (@t3845)) % 1.12/1.36 (step @p6482 :rule bool-double-not-elim :args (@t2072)) % 1.12/1.36 (step @p6483 :rule nary_cong :premises (@p6482 @p6481) :args ((or (not @t2073) @t3845))) % 1.12/1.36 (step @p6484 :rule bool-impl-elim :args (@t2073 @t3845)) % 1.12/1.36 (step @p6485 :rule trans :premises (@p6484 @p6483)) % 1.12/1.36 (step @p6486 :rule trans :premises (@p6485 @p6480)) % 1.12/1.36 (step @p6487 :rule cong :premises (@p6486) :args ((forall @t150 (=> @t2073 @t3845)))) % 1.12/1.36 (step @p6488 :rule trans :premises (@p6487 @p6475)) % 1.12/1.36 (step @p6489 :rule cong :premises (@p6094 @p6011) :args (@t3846)) % 1.12/1.36 (step @p6490 :rule cong :premises (@p2489) :args (@t3847)) % 1.12/1.36 (step @p6491 :rule cong :premises (@p6490) :args (@t3848)) % 1.12/1.36 (step @p6492 :rule exists-elim :args ((= @t186 @t3848))) % 1.12/1.36 (step @p6493 :rule trans :premises (@p6492 @p6491)) % 1.12/1.36 (step @p6494 :rule cong :premises (@p6493 @p6489) :args (@t3849)) % 1.12/1.36 (step @p6495 :rule cong :premises (@p6494) :args (@t3850)) % 1.12/1.36 (step @p6496 :rule trans :premises (@p6495 @p6488)) % 1.12/1.36 (step @p6497 :rule refl :args (tptp.exuI3)) % 1.12/1.36 (step @p6498 :rule cong :premises (@p6497 @p6496) :args ((= tptp.exuI3 @t3850))) % 1.12/1.36 (step @p6499 :rule cong :premises (@p6100 @p6054) :args (@t347)) % 1.12/1.36 (step @p6500 :rule refl :args (@t186)) % 1.12/1.36 (step @p6501 :rule cong :premises (@p6500 @p6499) :args (@t348)) % 1.12/1.36 (step @p6502 :rule cong :premises (@p6501) :args (@t349)) % 1.12/1.36 (step @p6503 :rule cong :premises (@p6497 @p6502) :args (@t350)) % 1.12/1.36 (step @p6504 :rule trans :premises (@p6503 @p6498)) % 1.12/1.36 (step @p6505 :rule eq_resolve :premises (@p62 @p6504)) % 1.12/1.36 (step @p6506 :rule cong :premises (@p6505 @p6466) :args (@t3851)) % 1.12/1.36 (step @p6507 :rule bool-eq-true :args (tptp.exuI1)) % 1.12/1.36 (step @p6508 :rule symm :premises (@p6507)) % 1.12/1.36 (step @p6509 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.12/1.36 (step @p6510 :rule bool-or-taut :args (false @t1953 false false)) % 1.12/1.36 (step @p6511 :rule nary_cong :premises (@p5959 @p6429) :args ((or @t3657 @t1954))) % 1.12/1.36 (step @p6512 :rule bool-impl-elim :args (@t1954 @t1954)) % 1.12/1.36 (step @p6513 :rule trans :premises (@p6512 @p6511)) % 1.12/1.36 (step @p6514 :rule trans :premises (@p6513 @p6510)) % 1.12/1.36 (step @p6515 :rule cong :premises (@p6514) :args ((forall @t150 (=> @t1954 @t1954)))) % 1.12/1.36 (step @p6516 :rule trans :premises (@p6515 @p6509)) % 1.12/1.36 (step @p6517 :rule cong :premises (@p6049 @p6011) :args (@t3852)) % 1.12/1.36 (step @p6518 :rule cong :premises (@p6517) :args (@t3853)) % 1.12/1.36 (step @p6519 :rule trans :premises (@p6518 @p6516)) % 1.12/1.36 (step @p6520 :rule refl :args (tptp.exuI1)) % 1.12/1.36 (step @p6521 :rule cong :premises (@p6520 @p6519) :args ((= tptp.exuI1 @t3853))) % 1.12/1.36 (step @p6522 :rule trans :premises (@p6521 @p6507)) % 1.12/1.36 (step @p6523 :rule refl :args (@t169)) % 1.12/1.36 (step @p6524 :rule cong :premises (@p6523 @p6054) :args (@t342)) % 1.12/1.36 (step @p6525 :rule cong :premises (@p6524) :args (@t343)) % 1.12/1.36 (step @p6526 :rule cong :premises (@p6520 @p6525) :args (@t344)) % 1.12/1.36 (step @p6527 :rule trans :premises (@p6526 @p6522)) % 1.12/1.36 (step @p6528 :rule eq_resolve :premises (@p61 @p6527)) % 1.12/1.36 (step @p6529 :rule eq_resolve :premises (@p6528 @p6508)) % 1.12/1.36 (step @p6530 :rule cong :premises (@p6529 @p6506) :args (@t3854)) % 1.12/1.36 (step @p6531 :rule bool-eq-true :args (tptp.notdallE)) % 1.12/1.36 (step @p6532 :rule symm :premises (@p6531)) % 1.12/1.36 (step @p6533 :rule bool-eq-true :args (tptp.notdallE)) % 1.12/1.36 (step @p6534 :rule eq-symm :args (true tptp.notdallE)) % 1.12/1.36 (step @p6535 :rule trans :premises (@p6534 @p6533)) % 1.12/1.36 (step @p6536 :rule refl :args (tptp.notdallE)) % 1.12/1.36 (step @p6537 :rule quant-unused-vars :args ((= (forall @t311 true) true))) % 1.12/1.36 (step @p6538 :rule bool-or-taut :args (false @t3855 false false)) % 1.12/1.36 (step @p6539 :rule refl :args (@t3856)) % 1.12/1.36 (step @p6540 :rule bool-double-not-elim :args (@t3855)) % 1.12/1.36 (step @p6541 :rule nary_cong :premises (@p6540 @p6539) :args ((or (not @t3856) @t3856))) % 1.12/1.36 (step @p6542 :rule bool-impl-elim :args (@t3856 @t3856)) % 1.12/1.36 (step @p6543 :rule trans :premises (@p6542 @p6541)) % 1.12/1.36 (step @p6544 :rule trans :premises (@p6543 @p6538)) % 1.12/1.36 (step @p6545 :rule cong :premises (@p6544) :args ((forall @t311 (=> @t3856 @t3856)))) % 1.12/1.36 (step @p6546 :rule trans :premises (@p6545 @p6537)) % 1.12/1.36 (step @p6547 :rule nary_cong :premises (@p758 @p2463) :args (@t3857)) % 1.12/1.36 (step @p6548 :rule cong :premises (@p6547) :args ((forall @t9 @t3857))) % 1.12/1.36 (step @p6549 :rule bool-double-not-elim :args (@t144)) % 1.12/1.36 (step @p6550 :rule nary_cong :premises (@p3929 @p6549) :args ((or @t197 (not @t317)))) % 1.12/1.36 (step @p6551 :rule bool-and-de-morgan :args (@t7 @t317 true)) % 1.12/1.36 (step @p6552 :rule trans :premises (@p6551 @p6550)) % 1.12/1.36 (step @p6553 :rule cong :premises (@p6552) :args (@t3858)) % 1.12/1.36 (step @p6554 :rule trans :premises (@p6553 @p6548)) % 1.12/1.36 (step @p6555 :rule cong :premises (@p6554) :args (@t3859)) % 1.12/1.36 (step @p6556 :rule exists-elim :args ((= @t319 @t3859))) % 1.12/1.36 (step @p6557 :rule trans :premises (@p6556 @p6555)) % 1.12/1.36 (step @p6558 :rule bool-impl-elim :args (@t7 @t144)) % 1.12/1.36 (step @p6559 :rule cong :premises (@p6558) :args (@t320)) % 1.12/1.36 (step @p6560 :rule trans :premises (@p6559 @p6548)) % 1.12/1.36 (step @p6561 :rule cong :premises (@p6560) :args (@t321)) % 1.12/1.36 (step @p6562 :rule cong :premises (@p6561 @p6557) :args (@t322)) % 1.12/1.36 (step @p6563 :rule cong :premises (@p6562) :args (@t323)) % 1.12/1.36 (step @p6564 :rule trans :premises (@p6563 @p6546)) % 1.12/1.36 (step @p6565 :rule cong :premises (@p6564 @p6536) :args ((= @t323 tptp.notdallE))) % 1.12/1.36 (step @p6566 :rule trans :premises (@p6565 @p6535)) % 1.12/1.36 (step @p6567 :rule eq-symm :args (tptp.notdallE @t323)) % 1.12/1.36 (step @p6568 :rule trans :premises (@p6567 @p6566)) % 1.12/1.36 (step @p6569 :rule eq_resolve :premises (@p60 @p6568)) % 1.12/1.36 (step @p6570 :rule eq_resolve :premises (@p6569 @p6532)) % 1.12/1.36 (step @p6571 :rule cong :premises (@p6570 @p6530) :args (@t3860)) % 1.12/1.36 (step @p6572 :rule bool-eq-true :args (tptp.notdexE)) % 1.12/1.36 (step @p6573 :rule symm :premises (@p6572)) % 1.12/1.36 (step @p6574 :rule bool-eq-true :args (tptp.notdexE)) % 1.12/1.36 (step @p6575 :rule eq-symm :args (true tptp.notdexE)) % 1.12/1.36 (step @p6576 :rule trans :premises (@p6575 @p6574)) % 1.12/1.36 (step @p6577 :rule refl :args (tptp.notdexE)) % 1.12/1.36 (step @p6578 :rule bool-or-taut2 :args (false @t1723 false false)) % 1.12/1.36 (step @p6579 :rule bool-impl-elim :args (@t1723 @t1723)) % 1.12/1.36 (step @p6580 :rule trans :premises (@p6579 @p6578)) % 1.12/1.36 (step @p6581 :rule cong :premises (@p6580) :args ((forall @t311 (=> @t1723 @t1723)))) % 1.12/1.36 (step @p6582 :rule trans :premises (@p6581 @p6537)) % 1.12/1.36 (step @p6583 :rule bool-impl-elim :args (@t7 @t317)) % 1.12/1.36 (step @p6584 :rule cong :premises (@p6583) :args (@t326)) % 1.12/1.36 (step @p6585 :rule trans :premises (@p6584 @p3863)) % 1.12/1.36 (step @p6586 :rule bool-double-not-elim :args (@t1723)) % 1.12/1.36 (step @p6587 :rule cong :premises (@p3869) :args (@t325)) % 1.12/1.36 (step @p6588 :rule trans :premises (@p6587 @p6586)) % 1.12/1.36 (step @p6589 :rule cong :premises (@p6588 @p6585) :args (@t330)) % 1.12/1.36 (step @p6590 :rule cong :premises (@p6589) :args (@t331)) % 1.12/1.36 (step @p6591 :rule trans :premises (@p6590 @p6582)) % 1.12/1.36 (step @p6592 :rule cong :premises (@p6591 @p6577) :args ((= @t331 tptp.notdexE))) % 1.12/1.36 (step @p6593 :rule trans :premises (@p6592 @p6576)) % 1.12/1.36 (step @p6594 :rule eq-symm :args (tptp.notdexE @t331)) % 1.12/1.36 (step @p6595 :rule trans :premises (@p6594 @p6593)) % 1.12/1.36 (step @p6596 :rule eq_resolve :premises (@p59 @p6595)) % 1.12/1.36 (step @p6597 :rule eq_resolve :premises (@p6596 @p6573)) % 1.12/1.36 (step @p6598 :rule cong :premises (@p6597 @p6571) :args (@t3861)) % 1.12/1.36 (step @p6599 :rule aci_norm :args ((= (or false @t1968) @t1968))) % 1.12/1.36 (step @p6600 :rule nary_cong :premises (@p903 @p668) :args (@t3862)) % 1.12/1.36 (step @p6601 :rule trans :premises (@p6600 @p6599)) % 1.12/1.36 (step @p6602 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2454 @t1060 @t3864)) @t3862))) % 1.12/1.36 (step @p6603 :rule refl :args (@t3864)) % 1.12/1.36 (step @p6604 :rule nary_cong :premises (@p914 @p911 @p6603) :args (@t3865)) % 1.12/1.36 (step @p6605 :rule aci_norm :args ((= @t3866 @t3865))) % 1.12/1.36 (step @p6606 :rule trans :premises (@p6605 @p6604)) % 1.12/1.36 (step @p6607 :rule cong :premises (@p6606) :args ((forall @t179 @t3866))) % 1.12/1.36 (step @p6608 :rule trans :premises (@p6607 @p6602)) % 1.12/1.36 (step @p6609 :rule trans :premises (@p6608 @p6601)) % 1.12/1.36 (step @p6610 :rule refl :args ((tptp.set2prop @t174))) % 1.12/1.36 (step @p6611 :rule refl :args (@t3863)) % 1.12/1.36 (step @p6612 :rule cong :premises (@p6611) :args (@t3864)) % 1.12/1.36 (step @p6613 :rule trans :premises (@p6612 @p6610)) % 1.12/1.36 (step @p6614 :rule refl :args (tptp.set2prop)) % 1.12/1.36 (step @p6615 :rule ho_cong :premises (@p6614 @p6611)) % 1.12/1.36 (step @p6616 :rule cong :premises (@p6615 @p6613) :args ((= (_ tptp.set2prop @t3863) @t3864))) % 1.12/1.36 (step @p6617 :rule symm :premises (@p6616)) % 1.12/1.36 (step @p6618 :rule refl :args (@t339)) % 1.12/1.36 (step @p6619 :rule eq_resolve :premises (@p6618 @p6617)) % 1.12/1.36 (step @p6620 :rule refl :args (@t174)) % 1.12/1.36 (step @p6621 :rule cong :premises (@p6620 @p6611) :args ((= @t174 @t3863))) % 1.12/1.36 (step @p6622 :rule symm :premises (@p6621)) % 1.12/1.36 (step @p6623 :rule eq_resolve :premises (@p6620 @p6622)) % 1.12/1.36 (step @p6624 :rule ho_cong :premises (@p6614 @p6623)) % 1.12/1.36 (step @p6625 :rule trans :premises (@p6624 @p6619)) % 1.12/1.36 (step @p6626 :rule nary_cong :premises (@p911 @p6625) :args (@t3867)) % 1.12/1.36 (step @p6627 :rule cong :premises (@p6626) :args ((forall @t179 @t3867))) % 1.12/1.36 (step @p6628 :rule trans :premises (@p6627 @p6609)) % 1.12/1.36 (step @p6629 :rule bool-impl-elim :args (@t173 @t339)) % 1.12/1.36 (step @p6630 :rule cong :premises (@p6629) :args (@t340)) % 1.12/1.36 (step @p6631 :rule trans :premises (@p6630 @p6628)) % 1.12/1.36 (step @p6632 :rule refl :args (tptp.prop2set2propI)) % 1.12/1.36 (step @p6633 :rule cong :premises (@p6632 @p6631) :args (@t341)) % 1.12/1.36 (step @p6634 :rule eq_resolve :premises (@p58 @p6633)) % 1.12/1.36 (step @p6635 :rule cong :premises (@p6634 @p6598) :args (@t3868)) % 1.12/1.36 (step @p6636 :rule aci_norm :args ((= (or false @t1970) @t1970))) % 1.12/1.36 (step @p6637 :rule nary_cong :premises (@p903 @p670) :args (@t3869)) % 1.12/1.36 (step @p6638 :rule trans :premises (@p6637 @p6636)) % 1.12/1.36 (step @p6639 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2454 @t1060 @t3870)) @t3869))) % 1.12/1.36 (step @p6640 :rule refl :args (@t3870)) % 1.12/1.36 (step @p6641 :rule nary_cong :premises (@p914 @p911 @p6640) :args (@t3871)) % 1.12/1.36 (step @p6642 :rule aci_norm :args ((= @t3872 @t3871))) % 1.12/1.36 (step @p6643 :rule trans :premises (@p6642 @p6641)) % 1.12/1.36 (step @p6644 :rule cong :premises (@p6643) :args ((forall @t179 @t3872))) % 1.12/1.36 (step @p6645 :rule trans :premises (@p6644 @p6639)) % 1.12/1.36 (step @p6646 :rule trans :premises (@p6645 @p6638)) % 1.12/1.36 (step @p6647 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 1.12/1.36 (step @p6648 :rule cong :premises (@p286 @p6611) :args (@t3870)) % 1.12/1.36 (step @p6649 :rule trans :premises (@p6648 @p6647)) % 1.12/1.36 (step @p6650 :rule ho_cong :premises (@p289 @p6611)) % 1.12/1.36 (step @p6651 :rule cong :premises (@p6650 @p6649) :args ((= (_ @t49 @t3863) @t3870))) % 1.12/1.36 (step @p6652 :rule symm :premises (@p6651)) % 1.12/1.36 (step @p6653 :rule refl :args (@t336)) % 1.12/1.36 (step @p6654 :rule eq_resolve :premises (@p6653 @p6652)) % 1.12/1.36 (step @p6655 :rule ho_cong :premises (@p289 @p6623)) % 1.12/1.36 (step @p6656 :rule trans :premises (@p6655 @p6654)) % 1.12/1.36 (step @p6657 :rule nary_cong :premises (@p911 @p6656) :args (@t3873)) % 1.12/1.36 (step @p6658 :rule cong :premises (@p6657) :args ((forall @t179 @t3873))) % 1.12/1.36 (step @p6659 :rule trans :premises (@p6658 @p6646)) % 1.12/1.36 (step @p6660 :rule bool-impl-elim :args (@t173 @t336)) % 1.12/1.36 (step @p6661 :rule cong :premises (@p6660) :args (@t337)) % 1.12/1.36 (step @p6662 :rule trans :premises (@p6661 @p6659)) % 1.12/1.36 (step @p6663 :rule refl :args (tptp.prop2setI)) % 1.12/1.36 (step @p6664 :rule cong :premises (@p6663 @p6662) :args (@t338)) % 1.12/1.36 (step @p6665 :rule eq_resolve :premises (@p57 @p6664)) % 1.12/1.36 (step @p6666 :rule cong :premises (@p6665 @p6635) :args (@t3874)) % 1.12/1.36 (step @p6667 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 1.12/1.36 (step @p6668 :rule symm :premises (@p6667)) % 1.12/1.36 (step @p6669 :rule cong :premises (@p6557 @p6561) :args (@t333)) % 1.12/1.36 (step @p6670 :rule cong :premises (@p6669) :args (@t334)) % 1.12/1.36 (step @p6671 :rule trans :premises (@p6670 @p6546)) % 1.12/1.36 (step @p6672 :rule refl :args (tptp.quantDeMorgan4)) % 1.12/1.36 (step @p6673 :rule cong :premises (@p6672 @p6671) :args (@t335)) % 1.12/1.36 (step @p6674 :rule trans :premises (@p6673 @p6667)) % 1.12/1.36 (step @p6675 :rule eq_resolve :premises (@p56 @p6674)) % 1.12/1.36 (step @p6676 :rule eq_resolve :premises (@p6675 @p6668)) % 1.12/1.36 (step @p6677 :rule cong :premises (@p6676 @p6666) :args (@t3875)) % 1.12/1.36 (step @p6678 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 1.12/1.36 (step @p6679 :rule symm :premises (@p6678)) % 1.12/1.36 (step @p6680 :rule refl :args (tptp.quantDeMorgan3)) % 1.12/1.36 (step @p6681 :rule cong :premises (@p6680 @p6591) :args (@t332)) % 1.12/1.36 (step @p6682 :rule trans :premises (@p6681 @p6678)) % 1.12/1.36 (step @p6683 :rule eq_resolve :premises (@p55 @p6682)) % 1.12/1.36 (step @p6684 :rule eq_resolve :premises (@p6683 @p6679)) % 1.12/1.36 (step @p6685 :rule cong :premises (@p6684 @p6677) :args (@t3876)) % 1.12/1.36 (step @p6686 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 1.12/1.36 (step @p6687 :rule symm :premises (@p6686)) % 1.12/1.36 (step @p6688 :rule cong :premises (@p6585 @p6588) :args (@t327)) % 1.12/1.36 (step @p6689 :rule cong :premises (@p6688) :args (@t328)) % 1.12/1.36 (step @p6690 :rule trans :premises (@p6689 @p6582)) % 1.12/1.36 (step @p6691 :rule refl :args (tptp.quantDeMorgan2)) % 1.12/1.36 (step @p6692 :rule cong :premises (@p6691 @p6690) :args (@t329)) % 1.12/1.36 (step @p6693 :rule trans :premises (@p6692 @p6686)) % 1.12/1.36 (step @p6694 :rule eq_resolve :premises (@p54 @p6693)) % 1.12/1.36 (step @p6695 :rule eq_resolve :premises (@p6694 @p6687)) % 1.12/1.36 (step @p6696 :rule cong :premises (@p6695 @p6685) :args (@t3877)) % 1.12/1.36 (step @p6697 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 1.12/1.36 (step @p6698 :rule symm :premises (@p6697)) % 1.12/1.36 (step @p6699 :rule refl :args (tptp.quantDeMorgan1)) % 1.12/1.36 (step @p6700 :rule cong :premises (@p6699 @p6564) :args (@t324)) % 1.12/1.36 (step @p6701 :rule trans :premises (@p6700 @p6697)) % 1.12/1.36 (step @p6702 :rule eq_resolve :premises (@p53 @p6701)) % 1.12/1.36 (step @p6703 :rule eq_resolve :premises (@p6702 @p6698)) % 1.12/1.36 (step @p6704 :rule cong :premises (@p6703 @p6696) :args (@t3878)) % 1.12/1.36 (step @p6705 :rule refl :args (@t1972)) % 1.12/1.36 (step @p6706 :rule refl :args (@t15)) % 1.12/1.36 (step @p6707 :rule cong :premises (@p6706 @p6705) :args ((= @t15 @t1972))) % 1.12/1.36 (step @p6708 :rule symm :premises (@p6707)) % 1.12/1.36 (step @p6709 :rule eq_resolve :premises (@p6706 @p6708)) % 1.12/1.36 (step @p6710 :rule cong :premises (@p6709) :args (@t16)) % 1.12/1.36 (step @p6711 :rule nary_cong :premises (@p6710 @p2463) :args (@t3879)) % 1.12/1.36 (step @p6712 :rule cong :premises (@p6711) :args ((forall @t314 @t3879))) % 1.12/1.36 (step @p6713 :rule bool-impl-elim :args (@t15 @t144)) % 1.12/1.36 (step @p6714 :rule cong :premises (@p6713) :args (@t315)) % 1.12/1.36 (step @p6715 :rule trans :premises (@p6714 @p6712)) % 1.12/1.36 (step @p6716 :rule refl :args (tptp.vacuousDall)) % 1.12/1.36 (step @p6717 :rule cong :premises (@p6716 @p6715) :args (@t316)) % 1.12/1.36 (step @p6718 :rule eq_resolve :premises (@p52 @p6717)) % 1.12/1.36 (step @p6719 :rule cong :premises (@p6718 @p6704) :args (@t3880)) % 1.12/1.36 (step @p6720 :rule aci_norm :args ((= @t3882 @t1980))) % 1.12/1.36 (step @p6721 :rule cong :premises (@p6720) :args (@t3883)) % 1.12/1.36 (step @p6722 :rule quant-merge-prenex :args ((= (forall @t311 @t3885) @t3883))) % 1.12/1.36 (step @p6723 :rule refl :args (@t1979)) % 1.12/1.36 (step @p6724 :rule alpha_equiv :args (@t3886 (@list @t1976) @t2487)) % 1.12/1.36 (step @p6725 :rule nary_cong :premises (@p6724 @p6723) :args (@t3887)) % 1.12/1.36 (step @p6726 :rule quant-miniscope-or :args ((= @t3885 @t3887))) % 1.12/1.36 (step @p6727 :rule trans :premises (@p6726 @p6725)) % 1.12/1.36 (step @p6728 :rule symm :premises (@p6727)) % 1.12/1.36 (step @p6729 :rule cong :premises (@p6728) :args ((forall @t311 (or @t1723 @t1979)))) % 1.12/1.36 (step @p6730 :rule trans :premises (@p6729 @p6722)) % 1.12/1.36 (step @p6731 :rule trans :premises (@p6730 @p6721)) % 1.12/1.36 (step @p6732 :rule cong :premises (@p239 @p2434) :args (@t3888)) % 1.12/1.36 (step @p6733 :rule cong :premises (@p6732) :args (@t3889)) % 1.12/1.36 (step @p6734 :rule nary_cong :premises (@p3842 @p6733) :args (@t3890)) % 1.12/1.36 (step @p6735 :rule cong :premises (@p6734) :args ((forall @t311 @t3890))) % 1.12/1.36 (step @p6736 :rule trans :premises (@p6735 @p6731)) % 1.12/1.36 (step @p6737 :rule cong :premises (@p286 @p2466) :args (@t3891)) % 1.12/1.36 (step @p6738 :rule cong :premises (@p6737) :args (@t3892)) % 1.12/1.36 (step @p6739 :rule nary_cong :premises (@p3847 @p6738) :args (@t3893)) % 1.12/1.36 (step @p6740 :rule cong :premises (@p6739) :args ((forall @t311 @t3893))) % 1.12/1.36 (step @p6741 :rule trans :premises (@p6740 @p6736)) % 1.12/1.36 (step @p6742 :rule refl :args (@t3892)) % 1.12/1.36 (step @p6743 :rule nary_cong :premises (@p3852 @p6742) :args ((or @t3260 @t3892))) % 1.12/1.36 (step @p6744 :rule bool-impl-elim :args (@t1724 @t3892)) % 1.12/1.36 (step @p6745 :rule trans :premises (@p6744 @p6743)) % 1.12/1.36 (step @p6746 :rule cong :premises (@p6745) :args ((forall @t311 (=> @t1724 @t3892)))) % 1.12/1.36 (step @p6747 :rule trans :premises (@p6746 @p6741)) % 1.12/1.36 (step @p6748 :rule eq-symm :args (@t306 tptp.emptyset)) % 1.12/1.36 (step @p6749 :rule cong :premises (@p6748) :args ((not @t307))) % 1.12/1.36 (step @p6750 :rule bool-impl-false1 :args (@t307)) % 1.12/1.36 (step @p6751 :rule trans :premises (@p6750 @p6749)) % 1.12/1.36 (step @p6752 :rule cong :premises (@p3869 @p6751) :args (@t310)) % 1.12/1.36 (step @p6753 :rule cong :premises (@p6752) :args (@t312)) % 1.12/1.36 (step @p6754 :rule trans :premises (@p6753 @p6747)) % 1.12/1.36 (step @p6755 :rule refl :args (tptp.emptyE1)) % 1.12/1.36 (step @p6756 :rule cong :premises (@p6755 @p6754) :args (@t313)) % 1.12/1.36 (step @p6757 :rule eq_resolve :premises (@p51 @p6756)) % 1.12/1.36 (step @p6758 :rule cong :premises (@p6757 @p6719) :args (@t3894)) % 1.12/1.36 (step @p6759 :rule refl :args (tptp.upairsetIR)) % 1.12/1.36 (step @p6760 :rule cong :premises (@p6759 @p4628) :args (@t305)) % 1.12/1.36 (step @p6761 :rule eq_resolve :premises (@p50 @p6760)) % 1.12/1.36 (step @p6762 :rule cong :premises (@p6761 @p6758) :args (@t3895)) % 1.12/1.36 (step @p6763 :rule refl :args ((tptp.in @t4 @t293))) % 1.12/1.36 (step @p6764 :rule cong :premises (@p768 @p770) :args (@t1985)) % 1.12/1.36 (step @p6765 :rule trans :premises (@p6764 @p6763)) % 1.12/1.36 (step @p6766 :rule ho_cong :premises (@p1305 @p770)) % 1.12/1.36 (step @p6767 :rule cong :premises (@p6766 @p6765) :args ((= (_ @t5 @t1668) @t1985))) % 1.12/1.36 (step @p6768 :rule symm :premises (@p6767)) % 1.12/1.36 (step @p6769 :rule refl :args (@t300)) % 1.12/1.36 (step @p6770 :rule eq_resolve :premises (@p6769 @p6768)) % 1.12/1.36 (step @p6771 :rule ho_cong :premises (@p1305 @p792)) % 1.12/1.36 (step @p6772 :rule trans :premises (@p6771 @p6770)) % 1.12/1.36 (step @p6773 :rule cong :premises (@p6772) :args (@t301)) % 1.12/1.36 (step @p6774 :rule refl :args (tptp.upairsetIL)) % 1.12/1.36 (step @p6775 :rule cong :premises (@p6774 @p6773) :args (@t302)) % 1.12/1.36 (step @p6776 :rule eq_resolve :premises (@p49 @p6775)) % 1.12/1.36 (step @p6777 :rule cong :premises (@p6776 @p6762) :args (@t3896)) % 1.12/1.36 (step @p6778 :rule refl :args (tptp.upairsetE)) % 1.12/1.36 (step @p6779 :rule cong :premises (@p6778 @p4474) :args (@t299)) % 1.12/1.36 (step @p6780 :rule eq_resolve :premises (@p48 @p6779)) % 1.12/1.36 (step @p6781 :rule cong :premises (@p6780 @p6777) :args (@t3897)) % 1.12/1.36 (step @p6782 :rule refl :args ((tptp.in @t19 @t279))) % 1.12/1.36 (step @p6783 :rule cong :premises (@p863 @p1207) :args (@t1989)) % 1.12/1.36 (step @p6784 :rule trans :premises (@p6783 @p6782)) % 1.12/1.36 (step @p6785 :rule ho_cong :premises (@p1500 @p1207)) % 1.12/1.36 (step @p6786 :rule cong :premises (@p6785 @p6784) :args ((= (_ @t20 @t1413) @t1989))) % 1.12/1.36 (step @p6787 :rule symm :premises (@p6786)) % 1.12/1.36 (step @p6788 :rule refl :args (@t280)) % 1.12/1.36 (step @p6789 :rule eq_resolve :premises (@p6788 @p6787)) % 1.12/1.36 (step @p6790 :rule ho_cong :premises (@p1500 @p1211)) % 1.12/1.36 (step @p6791 :rule trans :premises (@p6790 @p6789)) % 1.12/1.36 (step @p6792 :rule refl :args ((tptp.in @t4 @t275))) % 1.12/1.36 (step @p6793 :rule cong :premises (@p768 @p767) :args (@t1990)) % 1.12/1.36 (step @p6794 :rule trans :premises (@p6793 @p6792)) % 1.12/1.36 (step @p6795 :rule ho_cong :premises (@p1305 @p767)) % 1.12/1.36 (step @p6796 :rule cong :premises (@p6795 @p6794) :args ((= (_ @t5 @t1667) @t1990))) % 1.12/1.36 (step @p6797 :rule symm :premises (@p6796)) % 1.12/1.36 (step @p6798 :rule refl :args (@t276)) % 1.12/1.36 (step @p6799 :rule eq_resolve :premises (@p6798 @p6797)) % 1.12/1.36 (step @p6800 :rule ho_cong :premises (@p1305 @p790)) % 1.12/1.36 (step @p6801 :rule trans :premises (@p6800 @p6799)) % 1.12/1.36 (step @p6802 :rule cong :premises (@p6801) :args (@t3898)) % 1.12/1.36 (step @p6803 :rule nary_cong :premises (@p6802 @p6791) :args (@t3899)) % 1.12/1.36 (step @p6804 :rule cong :premises (@p6803) :args ((forall @t135 @t3899))) % 1.12/1.36 (step @p6805 :rule bool-impl-elim :args (@t276 @t280)) % 1.12/1.36 (step @p6806 :rule cong :premises (@p6805) :args (@t287)) % 1.12/1.36 (step @p6807 :rule trans :premises (@p6806 @p6804)) % 1.12/1.36 (step @p6808 :rule refl :args (tptp.singletonsswitch)) % 1.12/1.36 (step @p6809 :rule cong :premises (@p6808 @p6807) :args (@t288)) % 1.12/1.36 (step @p6810 :rule eq_resolve :premises (@p47 @p6809)) % 1.12/1.36 (step @p6811 :rule cong :premises (@p6810 @p6781) :args (@t3900)) % 1.12/1.36 (step @p6812 :rule aci_norm :args ((= (or false @t1994) @t1994))) % 1.12/1.36 (step @p6813 :rule refl :args (@t1994)) % 1.12/1.36 (step @p6814 :rule nary_cong :premises (@p3613 @p6813) :args (@t3901)) % 1.12/1.36 (step @p6815 :rule trans :premises (@p6814 @p6812)) % 1.12/1.36 (step @p6816 :rule cong :premises (@p6815) :args ((forall @t70 @t3901))) % 1.12/1.36 (step @p6817 :rule quant-var-elim-eq :args ((= (forall @t9 @t3902) @t3901))) % 1.12/1.36 (step @p6818 :rule aci_norm :args ((= @t3903 @t3902))) % 1.12/1.36 (step @p6819 :rule cong :premises (@p6818) :args (@t3904)) % 1.12/1.36 (step @p6820 :rule trans :premises (@p6819 @p6817)) % 1.12/1.36 (step @p6821 :rule cong :premises (@p6820) :args (@t3905)) % 1.12/1.36 (step @p6822 :rule quant-merge-prenex :args ((= @t3905 @t3906))) % 1.12/1.36 (step @p6823 :rule symm :premises (@p6822)) % 1.12/1.36 (step @p6824 :rule quant_var_reordering :args ((= (forall @t135 @t3903) @t3906))) % 1.12/1.36 (step @p6825 :rule trans :premises (@p6824 @p6823 @p6821)) % 1.12/1.36 (step @p6826 :rule trans :premises (@p6825 @p6816)) % 1.12/1.36 (step @p6827 :rule nary_cong :premises (@p3638 @p6801) :args (@t3907)) % 1.12/1.36 (step @p6828 :rule cong :premises (@p6827) :args ((forall @t135 @t3907))) % 1.12/1.36 (step @p6829 :rule trans :premises (@p6828 @p6826)) % 1.12/1.36 (step @p6830 :rule bool-impl-elim :args (@t129 @t276)) % 1.12/1.36 (step @p6831 :rule cong :premises (@p6830) :args (@t285)) % 1.12/1.36 (step @p6832 :rule trans :premises (@p6831 @p6829)) % 1.12/1.36 (step @p6833 :rule refl :args (tptp.eqinunit)) % 1.12/1.36 (step @p6834 :rule cong :premises (@p6833 @p6832) :args (@t286)) % 1.12/1.36 (step @p6835 :rule eq_resolve :premises (@p46 @p6834)) % 1.12/1.36 (step @p6836 :rule cong :premises (@p6835 @p6811) :args (@t3908)) % 1.12/1.36 (step @p6837 :rule cong :premises (@p6791) :args (@t281)) % 1.12/1.36 (step @p6838 :rule nary_cong :premises (@p2498 @p6837) :args (@t3909)) % 1.12/1.36 (step @p6839 :rule cong :premises (@p6838) :args ((forall @t135 @t3909))) % 1.12/1.36 (step @p6840 :rule refl :args (@t281)) % 1.12/1.36 (step @p6841 :rule bool-double-not-elim :args (@t129)) % 1.12/1.36 (step @p6842 :rule nary_cong :premises (@p6841 @p6840) :args ((or (not @t282) @t281))) % 1.12/1.36 (step @p6843 :rule bool-impl-elim :args (@t282 @t281)) % 1.12/1.36 (step @p6844 :rule trans :premises (@p6843 @p6842)) % 1.12/1.36 (step @p6845 :rule cong :premises (@p6844) :args (@t283)) % 1.12/1.36 (step @p6846 :rule trans :premises (@p6845 @p6839)) % 1.12/1.36 (step @p6847 :rule refl :args (tptp.notinsingleton)) % 1.12/1.36 (step @p6848 :rule cong :premises (@p6847 @p6846) :args (@t284)) % 1.12/1.36 (step @p6849 :rule eq_resolve :premises (@p45 @p6848)) % 1.12/1.36 (step @p6850 :rule cong :premises (@p6849 @p6836) :args (@t3910)) % 1.12/1.36 (step @p6851 :rule nary_cong :premises (@p6802 @p2498) :args (@t3911)) % 1.12/1.36 (step @p6852 :rule cong :premises (@p6851) :args ((forall @t135 @t3911))) % 1.12/1.36 (step @p6853 :rule bool-impl-elim :args (@t276 @t129)) % 1.12/1.36 (step @p6854 :rule cong :premises (@p6853) :args (@t277)) % 1.12/1.36 (step @p6855 :rule trans :premises (@p6854 @p6852)) % 1.12/1.36 (step @p6856 :rule refl :args (tptp.uniqinunit)) % 1.12/1.36 (step @p6857 :rule cong :premises (@p6856 @p6855) :args (@t278)) % 1.12/1.36 (step @p6858 :rule eq_resolve :premises (@p44 @p6857)) % 1.12/1.36 (step @p6859 :rule cong :premises (@p6858 @p6850) :args (@t3912)) % 1.12/1.36 (step @p6860 :rule refl :args (@t2002)) % 1.12/1.36 (step @p6861 :rule bool-double-not-elim :args (@t196)) % 1.12/1.36 (step @p6862 :rule nary_cong :premises (@p6861 @p6860) :args ((or (not @t3913) @t2002))) % 1.12/1.36 (step @p6863 :rule bool-impl-elim :args (@t3913 @t2002)) % 1.12/1.36 (step @p6864 :rule trans :premises (@p6863 @p6862)) % 1.12/1.36 (step @p6865 :rule cong :premises (@p6864) :args ((forall @t64 (=> @t3913 @t2002)))) % 1.12/1.36 (step @p6866 :rule cong :premises (@p758) :args (@t198)) % 1.12/1.36 (step @p6867 :rule cong :premises (@p6866) :args (@t3914)) % 1.12/1.36 (step @p6868 :rule exists-elim :args ((= @t89 @t3914))) % 1.12/1.36 (step @p6869 :rule trans :premises (@p6868 @p6867)) % 1.12/1.36 (step @p6870 :rule aci_norm :args ((= @t269 @t7))) % 1.12/1.36 (step @p6871 :rule cong :premises (@p6870) :args (@t270)) % 1.12/1.36 (step @p6872 :rule trans :premises (@p6871 @p6869)) % 1.12/1.36 (step @p6873 :rule beta-reduce :args ((= @t3915 @t3913))) % 1.12/1.36 (step @p6874 :rule cong :premises (@p6873 @p6872) :args (@t3916)) % 1.12/1.36 (step @p6875 :rule cong :premises (@p6874) :args (@t3917)) % 1.12/1.36 (step @p6876 :rule trans :premises (@p6875 @p6865)) % 1.12/1.36 (step @p6877 :rule refl :args (tptp.nonemptyImpWitness)) % 1.12/1.36 (step @p6878 :rule cong :premises (@p6877 @p6876) :args ((= tptp.nonemptyImpWitness @t3917))) % 1.12/1.36 (step @p6879 :rule refl :args (@t270)) % 1.12/1.36 (step @p6880 :rule ho_cong :premises (@p230 @p1082)) % 1.12/1.36 (step @p6881 :rule cong :premises (@p6880 @p6879) :args (@t271)) % 1.12/1.36 (step @p6882 :rule cong :premises (@p6881) :args (@t272)) % 1.12/1.36 (step @p6883 :rule cong :premises (@p6877 @p6882) :args (@t273)) % 1.12/1.36 (step @p6884 :rule trans :premises (@p6883 @p6878)) % 1.12/1.36 (step @p6885 :rule eq_resolve :premises (@p43 @p6884)) % 1.12/1.36 (step @p6886 :rule cong :premises (@p6885 @p6859) :args (@t3918)) % 1.12/1.36 (step @p6887 :rule eq-symm :args (@t2005 @t19)) % 1.12/1.36 (step @p6888 :rule nary_cong :premises (@p5891 @p6887) :args (@t3919)) % 1.12/1.36 (step @p6889 :rule cong :premises (@p6888) :args (@t3920)) % 1.12/1.36 (step @p6890 :rule cong :premises (@p6889) :args (@t3921)) % 1.12/1.36 (step @p6891 :rule refl :args (@t2006)) % 1.12/1.36 (step @p6892 :rule refl :args (@t2009)) % 1.12/1.36 (step @p6893 :rule nary_cong :premises (@p6892 @p6891 @p6890) :args (@t3922)) % 1.12/1.36 (step @p6894 :rule aci_norm :args ((= @t3924 @t3922))) % 1.12/1.36 (step @p6895 :rule trans :premises (@p6894 @p6893)) % 1.12/1.36 (step @p6896 :rule cong :premises (@p6895) :args (@t3925)) % 1.12/1.36 (step @p6897 :rule quant-merge-prenex :args ((= (forall @t150 @t3927) @t3925))) % 1.12/1.36 (step @p6898 :rule refl :args (@t2009)) % 1.12/1.36 (step @p6899 :rule alpha_equiv :args (@t3928 (@list @t2005) @t2487)) % 1.12/1.36 (step @p6900 :rule nary_cong :premises (@p6899 @p6898) :args (@t3929)) % 1.12/1.36 (step @p6901 :rule quant-miniscope-or :args ((= @t3927 @t3929))) % 1.12/1.36 (step @p6902 :rule trans :premises (@p6901 @p6900)) % 1.12/1.36 (step @p6903 :rule symm :premises (@p6902)) % 1.12/1.36 (step @p6904 :rule cong :premises (@p6903) :args ((forall @t150 (or @t1953 @t2009)))) % 1.12/1.36 (step @p6905 :rule trans :premises (@p6904 @p6897)) % 1.12/1.36 (step @p6906 :rule trans :premises (@p6905 @p6896)) % 1.12/1.36 (step @p6907 :rule nary_cong :premises (@p5959 @p6898) :args ((or @t3657 @t2009))) % 1.12/1.36 (step @p6908 :rule bool-impl-elim :args (@t1954 @t2009)) % 1.12/1.36 (step @p6909 :rule trans :premises (@p6908 @p6907)) % 1.12/1.36 (step @p6910 :rule cong :premises (@p6909) :args ((forall @t150 (=> @t1954 @t2009)))) % 1.12/1.36 (step @p6911 :rule trans :premises (@p6910 @p6906)) % 1.12/1.36 (step @p6912 :rule cong :premises (@p6011 @p6454) :args (@t3930)) % 1.12/1.36 (step @p6913 :rule cong :premises (@p6912) :args (@t3931)) % 1.12/1.36 (step @p6914 :rule trans :premises (@p6913 @p6911)) % 1.12/1.36 (step @p6915 :rule refl :args (tptp.exuE2)) % 1.12/1.36 (step @p6916 :rule cong :premises (@p6915 @p6914) :args ((= tptp.exuE2 @t3931))) % 1.12/1.36 (step @p6917 :rule cong :premises (@p6054 @p6460) :args (@t266)) % 1.12/1.36 (step @p6918 :rule cong :premises (@p6917) :args (@t267)) % 1.12/1.36 (step @p6919 :rule cong :premises (@p6915 @p6918) :args (@t268)) % 1.12/1.36 (step @p6920 :rule trans :premises (@p6919 @p6916)) % 1.12/1.36 (step @p6921 :rule eq_resolve :premises (@p42 @p6920)) % 1.12/1.36 (step @p6922 :rule cong :premises (@p6921 @p6886) :args (@t3932)) % 1.12/1.36 (step @p6923 :rule refl :args ((tptp.in @t4 @t259))) % 1.12/1.36 (step @p6924 :rule refl :args ((tptp.powerset @t43))) % 1.12/1.36 (step @p6925 :rule cong :premises (@p4083) :args (@t2013)) % 1.12/1.36 (step @p6926 :rule trans :premises (@p6925 @p6924)) % 1.12/1.36 (step @p6927 :rule cong :premises (@p768 @p6926) :args (@t2014)) % 1.12/1.36 (step @p6928 :rule trans :premises (@p6927 @p6923)) % 1.12/1.36 (step @p6929 :rule ho_cong :premises (@p1305 @p6926)) % 1.12/1.36 (step @p6930 :rule cong :premises (@p6929 @p6928) :args ((= (_ @t5 @t2013) @t2014))) % 1.12/1.36 (step @p6931 :rule symm :premises (@p6930)) % 1.12/1.36 (step @p6932 :rule refl :args (@t260)) % 1.12/1.36 (step @p6933 :rule eq_resolve :premises (@p6932 @p6931)) % 1.12/1.36 (step @p6934 :rule ho_cong :premises (@p4247 @p4083)) % 1.12/1.36 (step @p6935 :rule cong :premises (@p6934 @p6926) :args ((= (_ tptp.powerset @t1738) @t2013))) % 1.12/1.36 (step @p6936 :rule symm :premises (@p6935)) % 1.12/1.36 (step @p6937 :rule refl :args (@t259)) % 1.12/1.36 (step @p6938 :rule eq_resolve :premises (@p6937 @p6936)) % 1.12/1.36 (step @p6939 :rule ho_cong :premises (@p4247 @p4094)) % 1.12/1.36 (step @p6940 :rule trans :premises (@p6939 @p6938)) % 1.12/1.36 (step @p6941 :rule ho_cong :premises (@p1305 @p6940)) % 1.12/1.36 (step @p6942 :rule trans :premises (@p6941 @p6933)) % 1.12/1.36 (step @p6943 :rule nary_cong :premises (@p758 @p6942) :args (@t3933)) % 1.12/1.36 (step @p6944 :rule cong :premises (@p6943) :args ((forall @t46 @t3933))) % 1.12/1.36 (step @p6945 :rule bool-impl-elim :args (@t7 @t260)) % 1.12/1.36 (step @p6946 :rule cong :premises (@p6945) :args (@t261)) % 1.12/1.36 (step @p6947 :rule trans :premises (@p6946 @p6944)) % 1.12/1.36 (step @p6948 :rule refl :args (tptp.subPowSU)) % 1.12/1.36 (step @p6949 :rule cong :premises (@p6948 @p6947) :args (@t262)) % 1.12/1.36 (step @p6950 :rule eq_resolve :premises (@p41 @p6949)) % 1.12/1.36 (step @p6951 :rule cong :premises (@p6950 @p6922) :args (@t3934)) % 1.12/1.36 (step @p6952 :rule refl :args (@t2020)) % 1.12/1.36 (step @p6953 :rule nary_cong :premises (@p4097 @p6952) :args (@t3935)) % 1.12/1.36 (step @p6954 :rule cong :premises (@p6953) :args ((forall @t46 @t3935))) % 1.12/1.36 (step @p6955 :rule bool-impl-elim :args (@t44 @t2020)) % 1.12/1.36 (step @p6956 :rule cong :premises (@p6955) :args ((forall @t46 (=> @t44 @t2020)))) % 1.12/1.36 (step @p6957 :rule trans :premises (@p6956 @p6954)) % 1.12/1.36 (step @p6958 :rule aci_norm :args ((= (and true @t2020) @t2020))) % 1.12/1.36 (step @p6959 :rule refl :args (@t2020)) % 1.12/1.36 (step @p6960 :rule nary_cong :premises (@p1345 @p6959) :args (@t3936)) % 1.12/1.36 (step @p6961 :rule trans :premises (@p6960 @p6958)) % 1.12/1.36 (step @p6962 :rule aci_norm :args ((= @t3937 @t3936))) % 1.12/1.36 (step @p6963 :rule trans :premises (@p6962 @p6961)) % 1.12/1.36 (step @p6964 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t3938 @t173)) @t3937))) % 1.12/1.36 (step @p6965 :rule refl :args (@t3938)) % 1.12/1.36 (step @p6966 :rule nary_cong :premises (@p830 @p6965 @p824) :args (@t3939)) % 1.12/1.36 (step @p6967 :rule aci_norm :args ((= @t3940 @t3939))) % 1.12/1.36 (step @p6968 :rule trans :premises (@p6967 @p6966)) % 1.12/1.36 (step @p6969 :rule cong :premises (@p6968) :args ((forall @t179 @t3940))) % 1.12/1.36 (step @p6970 :rule trans :premises (@p6969 @p6964)) % 1.12/1.36 (step @p6971 :rule trans :premises (@p6970 @p6963)) % 1.12/1.36 (step @p6972 :rule bool-or-de-morgan :args (@t173 @t2019 false)) % 1.12/1.36 (step @p6973 :rule nary_cong :premises (@p6972 @p824) :args ((or (not @t3941) @t173))) % 1.12/1.36 (step @p6974 :rule bool-impl-elim :args (@t3941 @t173)) % 1.12/1.36 (step @p6975 :rule trans :premises (@p6974 @p6973)) % 1.12/1.36 (step @p6976 :rule cong :premises (@p6975) :args ((forall @t179 (=> @t3941 @t173)))) % 1.12/1.36 (step @p6977 :rule trans :premises (@p6976 @p6971)) % 1.12/1.36 (step @p6978 :rule refl :args (@t2017)) % 1.12/1.36 (step @p6979 :rule refl :args (@t39)) % 1.12/1.36 (step @p6980 :rule cong :premises (@p6979 @p6978) :args ((= @t39 @t2017))) % 1.12/1.36 (step @p6981 :rule symm :premises (@p6980)) % 1.12/1.36 (step @p6982 :rule eq_resolve :premises (@p6979 @p6981)) % 1.12/1.36 (step @p6983 :rule cong :premises (@p6982) :args (@t3942)) % 1.12/1.36 (step @p6984 :rule nary_cong :premises (@p4678 @p6983) :args (@t3943)) % 1.12/1.36 (step @p6985 :rule cong :premises (@p6984) :args (@t3944)) % 1.12/1.36 (step @p6986 :rule nary_cong :premises (@p867 @p6985) :args (@t3945)) % 1.12/1.36 (step @p6987 :rule quant-miniscope-or :args ((= (forall @t41 @t3946) @t3945))) % 1.12/1.36 (step @p6988 :rule aci_norm :args ((= @t3947 @t3946))) % 1.12/1.36 (step @p6989 :rule cong :premises (@p6988) :args ((forall @t41 @t3947))) % 1.12/1.36 (step @p6990 :rule trans :premises (@p6989 @p6987)) % 1.12/1.36 (step @p6991 :rule trans :premises (@p6990 @p6986)) % 1.12/1.36 (step @p6992 :rule aci_norm :args ((= (or @t437 (or @t3942 @t173)) @t3947))) % 1.12/1.36 (step @p6993 :rule bool-impl-elim :args (@t39 @t173)) % 1.12/1.36 (step @p6994 :rule refl :args (@t437)) % 1.12/1.36 (step @p6995 :rule nary_cong :premises (@p6994 @p6993) :args ((or @t437 @t252))) % 1.12/1.36 (step @p6996 :rule trans :premises (@p6995 @p6992)) % 1.12/1.36 (step @p6997 :rule bool-impl-elim :args (@t6 @t252)) % 1.12/1.36 (step @p6998 :rule trans :premises (@p6997 @p6996)) % 1.12/1.36 (step @p6999 :rule cong :premises (@p6998) :args (@t253)) % 1.12/1.36 (step @p7000 :rule trans :premises (@p6999 @p6991)) % 1.12/1.36 (step @p7001 :rule cong :premises (@p7000 @p867) :args (@t254)) % 1.12/1.36 (step @p7002 :rule cong :premises (@p7001) :args (@t255)) % 1.12/1.36 (step @p7003 :rule trans :premises (@p7002 @p6977)) % 1.12/1.36 (step @p7004 :rule cong :premises (@p4117 @p7003) :args (@t256)) % 1.12/1.36 (step @p7005 :rule cong :premises (@p7004) :args (@t257)) % 1.12/1.36 (step @p7006 :rule trans :premises (@p7005 @p6957)) % 1.12/1.36 (step @p7007 :rule refl :args (tptp.setunionE)) % 1.12/1.36 (step @p7008 :rule cong :premises (@p7007 @p7006) :args (@t258)) % 1.12/1.36 (step @p7009 :rule eq_resolve :premises (@p40 @p7008)) % 1.12/1.36 (step @p7010 :rule cong :premises (@p7009 @p6951) :args (@t3948)) % 1.12/1.36 (step @p7011 :rule nary_cong :premises (@p4678 @p6983 @p4096) :args (@t3949)) % 1.12/1.36 (step @p7012 :rule cong :premises (@p7011) :args ((forall @t249 @t3949))) % 1.12/1.36 (step @p7013 :rule aci_norm :args ((= (or @t437 (or @t3942 @t44)) @t3949))) % 1.12/1.36 (step @p7014 :rule bool-impl-elim :args (@t39 @t44)) % 1.12/1.36 (step @p7015 :rule nary_cong :premises (@p6994 @p7014) :args ((or @t437 @t248))) % 1.12/1.36 (step @p7016 :rule trans :premises (@p7015 @p7013)) % 1.12/1.36 (step @p7017 :rule bool-impl-elim :args (@t6 @t248)) % 1.12/1.36 (step @p7018 :rule trans :premises (@p7017 @p7016)) % 1.12/1.36 (step @p7019 :rule cong :premises (@p7018) :args (@t250)) % 1.12/1.36 (step @p7020 :rule trans :premises (@p7019 @p7012)) % 1.12/1.36 (step @p7021 :rule refl :args (tptp.setunionI)) % 1.12/1.36 (step @p7022 :rule cong :premises (@p7021 @p7020) :args (@t251)) % 1.12/1.36 (step @p7023 :rule eq_resolve :premises (@p39 @p7022)) % 1.12/1.36 (step @p7024 :rule cong :premises (@p7023 @p7010) :args (@t3950)) % 1.12/1.36 (step @p7025 :rule nary_cong :premises (@p5419 @p4678 @p757) :args (@t3951)) % 1.12/1.36 (step @p7026 :rule cong :premises (@p7025) :args ((forall @t245 @t3951))) % 1.12/1.36 (step @p7027 :rule aci_norm :args ((= (or @t3533 @t3952) @t3951))) % 1.12/1.36 (step @p7028 :rule bool-impl-elim :args (@t6 @t7)) % 1.12/1.36 (step @p7029 :rule refl :args (@t3533)) % 1.12/1.36 (step @p7030 :rule nary_cong :premises (@p7029 @p7028) :args ((or @t3533 @t31))) % 1.12/1.36 (step @p7031 :rule trans :premises (@p7030 @p7027)) % 1.12/1.36 (step @p7032 :rule bool-impl-elim :args (@t35 @t31)) % 1.12/1.36 (step @p7033 :rule trans :premises (@p7032 @p7031)) % 1.12/1.36 (step @p7034 :rule cong :premises (@p7033) :args (@t246)) % 1.12/1.36 (step @p7035 :rule trans :premises (@p7034 @p7026)) % 1.12/1.36 (step @p7036 :rule refl :args (tptp.powersetE)) % 1.12/1.36 (step @p7037 :rule cong :premises (@p7036 @p7035) :args (@t247)) % 1.12/1.36 (step @p7038 :rule eq_resolve :premises (@p38 @p7037)) % 1.12/1.36 (step @p7039 :rule cong :premises (@p7038 @p7024) :args (@t3953)) % 1.12/1.36 (step @p7040 :rule eq-symm :args (@t2028 tptp.emptyInPowerset)) % 1.12/1.36 (step @p7041 :rule refl :args (tptp.emptyInPowerset)) % 1.12/1.36 (step @p7042 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 1.12/1.36 (step @p7043 :rule cong :premises (@p286 @p4501) :args (@t2027)) % 1.12/1.36 (step @p7044 :rule trans :premises (@p7043 @p7042)) % 1.12/1.36 (step @p7045 :rule ho_cong :premises (@p289 @p4501)) % 1.12/1.36 (step @p7046 :rule cong :premises (@p7045 @p7044) :args ((= (_ @t49 @t1371) @t2027))) % 1.12/1.36 (step @p7047 :rule symm :premises (@p7046)) % 1.12/1.36 (step @p7048 :rule refl :args (@t242)) % 1.12/1.36 (step @p7049 :rule eq_resolve :premises (@p7048 @p7047)) % 1.12/1.36 (step @p7050 :rule ho_cong :premises (@p289 @p4512)) % 1.12/1.36 (step @p7051 :rule trans :premises (@p7050 @p7049)) % 1.12/1.36 (step @p7052 :rule cong :premises (@p7051) :args (@t243)) % 1.12/1.36 (step @p7053 :rule cong :premises (@p7052 @p7041) :args ((= @t243 tptp.emptyInPowerset))) % 1.12/1.36 (step @p7054 :rule trans :premises (@p7053 @p7040)) % 1.12/1.36 (step @p7055 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 1.12/1.36 (step @p7056 :rule trans :premises (@p7055 @p7054)) % 1.12/1.36 (step @p7057 :rule eq_resolve :premises (@p37 @p7056)) % 1.12/1.36 (step @p7058 :rule cong :premises (@p7057 @p7039) :args (@t3954)) % 1.12/1.36 (step @p7059 :rule refl :args (tptp.emptyinPowerset)) % 1.12/1.36 (step @p7060 :rule cong :premises (@p7059 @p7052) :args (@t244)) % 1.12/1.36 (step @p7061 :rule eq_resolve :premises (@p36 @p7060)) % 1.12/1.36 (step @p7062 :rule cong :premises (@p7061 @p7058) :args (@t3955)) % 1.12/1.36 (step @p7063 :rule refl :args (@t2032)) % 1.12/1.36 (step @p7064 :rule nary_cong :premises (@p7063 @p5418) :args (@t3956)) % 1.12/1.36 (step @p7065 :rule cong :premises (@p7064) :args ((forall @t12 @t3956))) % 1.12/1.36 (step @p7066 :rule bool-impl-elim :args (@t2031 @t35)) % 1.12/1.36 (step @p7067 :rule cong :premises (@p7066) :args ((forall @t12 (=> @t2031 @t35)))) % 1.12/1.36 (step @p7068 :rule trans :premises (@p7067 @p7065)) % 1.12/1.36 (step @p7069 :rule refl :args (@t35)) % 1.12/1.36 (step @p7070 :rule nary_cong :premises (@p4678 @p757) :args (@t3952)) % 1.12/1.36 (step @p7071 :rule cong :premises (@p7070) :args ((forall @t9 @t3952))) % 1.12/1.36 (step @p7072 :rule cong :premises (@p7028) :args (@t32)) % 1.12/1.36 (step @p7073 :rule trans :premises (@p7072 @p7071)) % 1.12/1.36 (step @p7074 :rule cong :premises (@p7073 @p7069) :args (@t239)) % 1.12/1.36 (step @p7075 :rule cong :premises (@p7074) :args (@t240)) % 1.12/1.36 (step @p7076 :rule trans :premises (@p7075 @p7068)) % 1.12/1.36 (step @p7077 :rule refl :args (tptp.powersetI)) % 1.12/1.36 (step @p7078 :rule cong :premises (@p7077 @p7076) :args (@t241)) % 1.12/1.36 (step @p7079 :rule eq_resolve :premises (@p35 @p7078)) % 1.12/1.36 (step @p7080 :rule cong :premises (@p7079 @p7062) :args (@t3957)) % 1.12/1.36 (step @p7081 :rule refl :args (@t2037)) % 1.12/1.36 (step @p7082 :rule refl :args (@t2036)) % 1.12/1.36 (step @p7083 :rule cong :premises (@p1055 @p7082) :args (@t2037)) % 1.12/1.36 (step @p7084 :rule trans :premises (@p7083 @p7081)) % 1.12/1.36 (step @p7085 :rule ho_cong :premises (@p2454 @p7082)) % 1.12/1.36 (step @p7086 :rule cong :premises (@p7085 @p7084) :args ((= @t3958 @t2037))) % 1.12/1.36 (step @p7087 :rule symm :premises (@p7086)) % 1.12/1.36 (step @p7088 :rule refl :args ((_ @t155 @t2036))) % 1.12/1.36 (step @p7089 :rule eq_resolve :premises (@p7088 @p7087)) % 1.12/1.36 (step @p7090 :rule cong :premises (@p1055 @p7089) :args (@t3959)) % 1.12/1.36 (step @p7091 :rule cong :premises (@p7090) :args ((forall @t64 @t3959))) % 1.12/1.36 (step @p7092 :rule eq-symm :args (@t3958 @t2)) % 1.12/1.36 (step @p7093 :rule symm :premises (@p7082)) % 1.12/1.36 (step @p7094 :rule alpha_equiv :args (@t235 @t2487 (@list @t2035))) % 1.12/1.36 (step @p7095 :rule trans :premises (@p7094 @p7093)) % 1.12/1.36 (step @p7096 :rule ho_cong :premises (@p1133 @p7095)) % 1.12/1.36 (step @p7097 :rule cong :premises (@p7096 @p1082) :args (@t236)) % 1.12/1.36 (step @p7098 :rule trans :premises (@p7097 @p7092)) % 1.12/1.36 (step @p7099 :rule cong :premises (@p7098) :args (@t237)) % 1.12/1.36 (step @p7100 :rule trans :premises (@p7099 @p7091)) % 1.12/1.36 (step @p7101 :rule refl :args (tptp.setoftrueEq)) % 1.12/1.36 (step @p7102 :rule cong :premises (@p7101 @p7100) :args (@t238)) % 1.12/1.36 (step @p7103 :rule eq_resolve :premises (@p34 @p7102)) % 1.12/1.36 (step @p7104 :rule cong :premises (@p7103 @p7080) :args (@t3960)) % 1.12/1.36 (step @p7105 :rule refl :args ((tptp.in @t19 @t25))) % 1.12/1.36 (step @p7106 :rule cong :premises (@p863 @p5514) :args (@t2040)) % 1.12/1.36 (step @p7107 :rule trans :premises (@p7106 @p7105)) % 1.12/1.36 (step @p7108 :rule ho_cong :premises (@p1500 @p5514)) % 1.12/1.36 (step @p7109 :rule cong :premises (@p7108 @p7107) :args ((= (_ @t20 @t1896) @t2040))) % 1.12/1.36 (step @p7110 :rule symm :premises (@p7109)) % 1.12/1.36 (step @p7111 :rule refl :args (@t26)) % 1.12/1.36 (step @p7112 :rule eq_resolve :premises (@p7111 @p7110)) % 1.12/1.36 (step @p7113 :rule ho_cong :premises (@p1500 @p5525)) % 1.12/1.36 (step @p7114 :rule trans :premises (@p7113 @p7112)) % 1.12/1.36 (step @p7115 :rule cong :premises (@p7114) :args (@t3961)) % 1.12/1.36 (step @p7116 :rule nary_cong :premises (@p7115 @p2498 @p804) :args (@t3962)) % 1.12/1.36 (step @p7117 :rule cong :premises (@p7116) :args ((forall @t28 @t3962))) % 1.12/1.36 (step @p7118 :rule aci_norm :args ((= (or @t3961 @t3963) @t3962))) % 1.12/1.36 (step @p7119 :rule bool-impl-elim :args (@t26 @t3963)) % 1.12/1.36 (step @p7120 :rule trans :premises (@p7119 @p7118)) % 1.12/1.36 (step @p7121 :rule cong :premises (@p7120) :args ((forall @t28 (=> @t26 @t3963)))) % 1.12/1.36 (step @p7122 :rule trans :premises (@p7121 @p7117)) % 1.12/1.36 (step @p7123 :rule nary_cong :premises (@p3960 @p889) :args (@t23)) % 1.12/1.36 (step @p7124 :rule refl :args (@t26)) % 1.12/1.36 (step @p7125 :rule cong :premises (@p7124 @p7123) :args (@t232)) % 1.12/1.36 (step @p7126 :rule cong :premises (@p7125) :args (@t233)) % 1.12/1.36 (step @p7127 :rule trans :premises (@p7126 @p7122)) % 1.12/1.36 (step @p7128 :rule refl :args (tptp.setadjoinOr)) % 1.12/1.36 (step @p7129 :rule cong :premises (@p7128 @p7127) :args (@t234)) % 1.12/1.36 (step @p7130 :rule eq_resolve :premises (@p33 @p7129)) % 1.12/1.36 (step @p7131 :rule cong :premises (@p7130 @p7104) :args (@t3964)) % 1.12/1.36 (step @p7132 :rule refl :args (@t1718)) % 1.12/1.36 (step @p7133 :rule nary_cong :premises (@p7115 @p2498 @p7132) :args (@t3965)) % 1.12/1.36 (step @p7134 :rule cong :premises (@p7133) :args ((forall @t28 @t3965))) % 1.12/1.36 (step @p7135 :rule aci_norm :args ((= (or @t3961 @t2195) @t3965))) % 1.12/1.36 (step @p7136 :rule bool-impl-elim :args (@t26 @t2195)) % 1.12/1.36 (step @p7137 :rule trans :premises (@p7136 @p7135)) % 1.12/1.36 (step @p7138 :rule cong :premises (@p7137) :args ((forall @t28 (=> @t26 @t2195)))) % 1.12/1.36 (step @p7139 :rule trans :premises (@p7138 @p7134)) % 1.12/1.36 (step @p7140 :rule aci_norm :args ((= (and @t1718 true) @t1718))) % 1.12/1.36 (step @p7141 :rule refl :args (@t1718)) % 1.12/1.36 (step @p7142 :rule nary_cong :premises (@p7141 @p1345) :args (@t3966)) % 1.12/1.36 (step @p7143 :rule trans :premises (@p7142 @p7140)) % 1.12/1.36 (step @p7144 :rule aci_norm :args ((= (and @t129 true) @t129))) % 1.12/1.36 (step @p7145 :rule nary_cong :premises (@p3672 @p1345) :args (@t3967)) % 1.12/1.36 (step @p7146 :rule trans :premises (@p7145 @p7144)) % 1.12/1.36 (step @p7147 :rule nary_cong :premises (@p7146 @p7143) :args (@t3968)) % 1.12/1.36 (step @p7148 :rule aci_norm :args ((= @t3969 @t3968))) % 1.12/1.36 (step @p7149 :rule trans :premises (@p7148 @p7147)) % 1.12/1.36 (step @p7150 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t3971 @t3970 @t173)) @t3969))) % 1.12/1.36 (step @p7151 :rule refl :args (@t3970)) % 1.12/1.36 (step @p7152 :rule refl :args (@t3971)) % 1.12/1.36 (step @p7153 :rule nary_cong :premises (@p830 @p7152 @p7151 @p824) :args (@t3972)) % 1.12/1.36 (step @p7154 :rule aci_norm :args ((= @t3973 @t3972))) % 1.12/1.36 (step @p7155 :rule trans :premises (@p7154 @p7153)) % 1.12/1.36 (step @p7156 :rule cong :premises (@p7155) :args ((forall @t179 @t3973))) % 1.12/1.36 (step @p7157 :rule trans :premises (@p7156 @p7150)) % 1.12/1.36 (step @p7158 :rule trans :premises (@p7157 @p7149)) % 1.12/1.36 (step @p7159 :rule nary_cong :premises (@p804 @p911) :args (@t3974)) % 1.12/1.36 (step @p7160 :rule nary_cong :premises (@p7152 @p7159 @p824) :args (@t3975)) % 1.12/1.36 (step @p7161 :rule cong :premises (@p7160) :args ((forall @t179 @t3975))) % 1.12/1.36 (step @p7162 :rule trans :premises (@p7161 @p7158)) % 1.12/1.36 (step @p7163 :rule aci_norm :args ((= (or @t3971 (or @t3974 @t173)) @t3975))) % 1.12/1.36 (step @p7164 :rule bool-implies-de-morgan :args (@t21 @t173)) % 1.12/1.36 (step @p7165 :rule nary_cong :premises (@p7164 @p824) :args ((or (not @t224) @t173))) % 1.12/1.36 (step @p7166 :rule bool-impl-elim :args (@t224 @t173)) % 1.12/1.36 (step @p7167 :rule trans :premises (@p7166 @p7165)) % 1.12/1.36 (step @p7168 :rule bool-implies-de-morgan :args (@t129 @t173)) % 1.12/1.36 (step @p7169 :rule nary_cong :premises (@p7168 @p7167) :args ((or (not @t3976) @t225))) % 1.12/1.36 (step @p7170 :rule trans :premises (@p7169 @p7163)) % 1.12/1.36 (step @p7171 :rule bool-impl-elim :args (@t3976 @t225)) % 1.12/1.36 (step @p7172 :rule trans :premises (@p7171 @p7170)) % 1.12/1.36 (step @p7173 :rule cong :premises (@p7172) :args ((forall @t179 (=> @t3976 @t225)))) % 1.12/1.36 (step @p7174 :rule trans :premises (@p7173 @p7162)) % 1.12/1.36 (step @p7175 :rule refl :args (@t225)) % 1.12/1.36 (step @p7176 :rule cong :premises (@p3960 @p867) :args (@t226)) % 1.12/1.36 (step @p7177 :rule cong :premises (@p7176 @p7175) :args (@t227)) % 1.12/1.36 (step @p7178 :rule cong :premises (@p7177) :args (@t228)) % 1.12/1.36 (step @p7179 :rule trans :premises (@p7178 @p7174)) % 1.12/1.36 (step @p7180 :rule cong :premises (@p7124 @p7179) :args (@t229)) % 1.12/1.36 (step @p7181 :rule cong :premises (@p7180) :args (@t230)) % 1.12/1.36 (step @p7182 :rule trans :premises (@p7181 @p7139)) % 1.12/1.36 (step @p7183 :rule refl :args (tptp.setadjoinE)) % 1.12/1.36 (step @p7184 :rule cong :premises (@p7183 @p7182) :args (@t231)) % 1.12/1.36 (step @p7185 :rule eq_resolve :premises (@p32 @p7184)) % 1.12/1.36 (step @p7186 :rule cong :premises (@p7185 @p7131) :args (@t3977)) % 1.12/1.36 (step @p7187 :rule nary_cong :premises (@p805 @p7114) :args (@t3978)) % 1.12/1.36 (step @p7188 :rule cong :premises (@p7187) :args ((forall @t28 @t3978))) % 1.12/1.36 (step @p7189 :rule bool-impl-elim :args (@t21 @t26)) % 1.12/1.36 (step @p7190 :rule cong :premises (@p7189) :args (@t222)) % 1.12/1.36 (step @p7191 :rule trans :premises (@p7190 @p7188)) % 1.12/1.36 (step @p7192 :rule refl :args (tptp.setadjoinIR)) % 1.12/1.36 (step @p7193 :rule cong :premises (@p7192 @p7191) :args (@t223)) % 1.12/1.36 (step @p7194 :rule eq_resolve :premises (@p31 @p7193)) % 1.12/1.36 (step @p7195 :rule cong :premises (@p7194 @p7186) :args (@t3979)) % 1.12/1.36 (step @p7196 :rule cong :premises (@p30 @p7195) :args (@t3980)) % 1.12/1.36 (step @p7197 :rule refl :args ((tptp.in @t4 @t216))) % 1.12/1.36 (step @p7198 :rule refl :args (@t2049)) % 1.12/1.36 (step @p7199 :rule cong :premises (@p768 @p7198) :args (@t2050)) % 1.12/1.36 (step @p7200 :rule trans :premises (@p7199 @p7197)) % 1.12/1.36 (step @p7201 :rule ho_cong :premises (@p1305 @p7198)) % 1.12/1.36 (step @p7202 :rule cong :premises (@p7201 @p7200) :args ((= (_ @t5 @t2049) @t2050))) % 1.12/1.36 (step @p7203 :rule symm :premises (@p7202)) % 1.12/1.36 (step @p7204 :rule refl :args (@t217)) % 1.12/1.36 (step @p7205 :rule eq_resolve :premises (@p7204 @p7203)) % 1.12/1.36 (step @p7206 :rule refl :args (@t216)) % 1.12/1.36 (step @p7207 :rule cong :premises (@p7206 @p7198) :args ((= @t216 @t2049))) % 1.12/1.36 (step @p7208 :rule symm :premises (@p7207)) % 1.12/1.36 (step @p7209 :rule eq_resolve :premises (@p7206 @p7208)) % 1.12/1.36 (step @p7210 :rule ho_cong :premises (@p1305 @p7209)) % 1.12/1.36 (step @p7211 :rule trans :premises (@p7210 @p7205)) % 1.12/1.36 (step @p7212 :rule cong :premises (@p7211) :args (@t218)) % 1.12/1.36 (step @p7213 :rule refl :args (tptp.setadjoinIL)) % 1.12/1.36 (step @p7214 :rule cong :premises (@p7213 @p7212) :args (@t219)) % 1.12/1.36 (step @p7215 :rule eq_resolve :premises (@p29 @p7214)) % 1.12/1.36 (step @p7216 :rule cong :premises (@p7215 @p7196) :args (@t3981)) % 1.12/1.36 (step @p7217 :rule aci_norm :args ((= (or @t2054 false) @t2054))) % 1.12/1.36 (step @p7218 :rule cong :premises (@p6256) :args (@t3982)) % 1.12/1.36 (step @p7219 :rule trans :premises (@p7218 @p903)) % 1.12/1.36 (step @p7220 :rule refl :args (@t2054)) % 1.12/1.36 (step @p7221 :rule nary_cong :premises (@p7220 @p7219) :args (@t3983)) % 1.12/1.36 (step @p7222 :rule trans :premises (@p7221 @p7217)) % 1.12/1.36 (step @p7223 :rule cong :premises (@p7222) :args ((forall @t2055 @t3983))) % 1.12/1.36 (step @p7224 :rule quant-var-elim-eq :args ((= (forall @t64 @t3985) @t3983))) % 1.12/1.36 (step @p7225 :rule aci_norm :args ((= @t3986 @t3985))) % 1.12/1.36 (step @p7226 :rule cong :premises (@p7225) :args (@t3987)) % 1.12/1.36 (step @p7227 :rule trans :premises (@p7226 @p7224)) % 1.12/1.36 (step @p7228 :rule cong :premises (@p7227) :args (@t3988)) % 1.12/1.36 (step @p7229 :rule quant-merge-prenex :args ((= @t3988 @t3989))) % 1.12/1.36 (step @p7230 :rule symm :premises (@p7229)) % 1.12/1.36 (step @p7231 :rule quant_var_reordering :args ((= @t3990 @t3989))) % 1.12/1.36 (step @p7232 :rule trans :premises (@p7231 @p7230 @p7228)) % 1.12/1.36 (step @p7233 :rule trans :premises (@p7232 @p7223)) % 1.12/1.36 (step @p7234 :rule quant-merge-prenex :args ((= (forall @t64 @t3991) @t3990))) % 1.12/1.36 (step @p7235 :rule refl :args (@t3913)) % 1.12/1.36 (step @p7236 :rule alpha_equiv :args (@t3992 (@list @t2053) @t2487)) % 1.12/1.36 (step @p7237 :rule nary_cong :premises (@p7236 @p7235) :args (@t3993)) % 1.12/1.36 (step @p7238 :rule quant-miniscope-or :args ((= @t3991 @t3993))) % 1.12/1.36 (step @p7239 :rule trans :premises (@p7238 @p7237)) % 1.12/1.36 (step @p7240 :rule symm :premises (@p7239)) % 1.12/1.36 (step @p7241 :rule cong :premises (@p7240) :args ((forall @t64 (or @t2001 @t3913)))) % 1.12/1.36 (step @p7242 :rule trans :premises (@p7241 @p7234)) % 1.12/1.36 (step @p7243 :rule trans :premises (@p7242 @p7233)) % 1.12/1.36 (step @p7244 :rule bool-double-not-elim :args (@t2001)) % 1.12/1.36 (step @p7245 :rule nary_cong :premises (@p7244 @p7235) :args ((or @t3994 @t3913))) % 1.12/1.36 (step @p7246 :rule bool-impl-elim :args (@t2002 @t3913)) % 1.12/1.36 (step @p7247 :rule trans :premises (@p7246 @p7245)) % 1.12/1.36 (step @p7248 :rule cong :premises (@p7247) :args ((forall @t64 (=> @t2002 @t3913)))) % 1.12/1.36 (step @p7249 :rule trans :premises (@p7248 @p7243)) % 1.12/1.36 (step @p7250 :rule cong :premises (@p6869 @p6873) :args (@t3995)) % 1.12/1.36 (step @p7251 :rule cong :premises (@p7250) :args (@t3996)) % 1.12/1.36 (step @p7252 :rule trans :premises (@p7251 @p7249)) % 1.12/1.36 (step @p7253 :rule refl :args (tptp.nonemptyI1)) % 1.12/1.36 (step @p7254 :rule cong :premises (@p7253 @p7252) :args ((= tptp.nonemptyI1 @t3996))) % 1.12/1.36 (step @p7255 :rule refl :args (@t89)) % 1.12/1.36 (step @p7256 :rule cong :premises (@p7255 @p6880) :args (@t213)) % 1.12/1.36 (step @p7257 :rule cong :premises (@p7256) :args (@t214)) % 1.12/1.36 (step @p7258 :rule cong :premises (@p7253 @p7257) :args (@t215)) % 1.12/1.36 (step @p7259 :rule trans :premises (@p7258 @p7254)) % 1.12/1.36 (step @p7260 :rule eq_resolve :premises (@p28 @p7259)) % 1.12/1.36 (step @p7261 :rule cong :premises (@p7260 @p7216) :args (@t3997)) % 1.12/1.36 (step @p7262 :rule lambda-elim :args ((= @t3998 @t143))) % 1.12/1.36 (step @p7263 :rule cong :premises (@p1082 @p7262) :args (@t3999)) % 1.12/1.36 (step @p7264 :rule cong :premises (@p239 @p7263) :args (@t4000)) % 1.12/1.36 (step @p7265 :rule cong :premises (@p7264) :args (@t4001)) % 1.12/1.36 (step @p7266 :rule nary_cong :premises (@p904 @p3888 @p7265) :args (@t4002)) % 1.12/1.36 (step @p7267 :rule cong :premises (@p7266) :args ((forall @t159 @t4002))) % 1.12/1.36 (step @p7268 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 1.12/1.36 (step @p7269 :rule cong :premises (@p2499) :args (@t3998)) % 1.12/1.36 (step @p7270 :rule cong :premises (@p1055 @p7269) :args (@t3999)) % 1.12/1.36 (step @p7271 :rule trans :premises (@p7270 @p7268)) % 1.12/1.36 (step @p7272 :rule ho_cong :premises (@p2454 @p7269)) % 1.12/1.36 (step @p7273 :rule cong :premises (@p7272 @p7271) :args ((= (_ @t155 @t3998) @t3999))) % 1.12/1.36 (step @p7274 :rule symm :premises (@p7273)) % 1.12/1.36 (step @p7275 :rule refl :args (@t156)) % 1.12/1.36 (step @p7276 :rule eq_resolve :premises (@p7275 @p7274)) % 1.12/1.36 (step @p7277 :rule cong :premises (@p2503) :args (@t154)) % 1.12/1.36 (step @p7278 :rule ho_cong :premises (@p2454 @p7277)) % 1.12/1.36 (step @p7279 :rule trans :premises (@p7278 @p7276)) % 1.12/1.36 (step @p7280 :rule cong :premises (@p286 @p7279) :args (@t4003)) % 1.12/1.36 (step @p7281 :rule cong :premises (@p7280) :args (@t4004)) % 1.12/1.36 (step @p7282 :rule nary_cong :premises (@p758 @p2489 @p7281) :args (@t4005)) % 1.12/1.36 (step @p7283 :rule cong :premises (@p7282) :args ((forall @t159 @t4005))) % 1.12/1.36 (step @p7284 :rule trans :premises (@p7283 @p7267)) % 1.12/1.36 (step @p7285 :rule aci_norm :args ((= (or @t197 (or @t317 @t4004)) @t4005))) % 1.12/1.36 (step @p7286 :rule bool-impl-elim :args (@t144 @t4004)) % 1.12/1.36 (step @p7287 :rule nary_cong :premises (@p3929 @p7286) :args ((or @t197 @t4006))) % 1.12/1.36 (step @p7288 :rule trans :premises (@p7287 @p7285)) % 1.12/1.36 (step @p7289 :rule bool-impl-elim :args (@t7 @t4006)) % 1.12/1.36 (step @p7290 :rule trans :premises (@p7289 @p7288)) % 1.12/1.36 (step @p7291 :rule cong :premises (@p7290) :args ((forall @t159 (=> @t7 @t4006)))) % 1.12/1.36 (step @p7292 :rule trans :premises (@p7291 @p7284)) % 1.12/1.36 (step @p7293 :rule eq-symm :args (@t156 tptp.emptyset)) % 1.12/1.36 (step @p7294 :rule cong :premises (@p7293) :args (@t4007)) % 1.12/1.36 (step @p7295 :rule beta-reduce :args ((= @t4008 @t4007))) % 1.12/1.36 (step @p7296 :rule trans :premises (@p7295 @p7294)) % 1.12/1.36 (step @p7297 :rule cong :premises (@p3967 @p7296) :args (@t4009)) % 1.12/1.36 (step @p7298 :rule cong :premises (@p811 @p7297) :args (@t4010)) % 1.12/1.36 (step @p7299 :rule cong :premises (@p7298) :args (@t4011)) % 1.12/1.36 (step @p7300 :rule trans :premises (@p7299 @p7292)) % 1.12/1.36 (step @p7301 :rule refl :args (tptp.nonemptyI)) % 1.12/1.36 (step @p7302 :rule cong :premises (@p7301 @p7300) :args ((= tptp.nonemptyI @t4011))) % 1.12/1.36 (step @p7303 :rule refl :args (@t156)) % 1.12/1.36 (step @p7304 :rule ho_cong :premises (@p230 @p7303)) % 1.12/1.36 (step @p7305 :rule cong :premises (@p3967 @p7304) :args (@t209)) % 1.12/1.36 (step @p7306 :rule cong :premises (@p811 @p7305) :args (@t210)) % 1.12/1.36 (step @p7307 :rule cong :premises (@p7306) :args (@t211)) % 1.12/1.36 (step @p7308 :rule cong :premises (@p7301 @p7307) :args (@t212)) % 1.12/1.36 (step @p7309 :rule trans :premises (@p7308 @p7302)) % 1.12/1.36 (step @p7310 :rule eq_resolve :premises (@p27 @p7309)) % 1.12/1.37 (step @p7311 :rule cong :premises (@p7310 @p7261) :args (@t4012)) % 1.12/1.37 (step @p7312 :rule cong :premises (@p6873 @p6869) :args (@t4013)) % 1.12/1.37 (step @p7313 :rule cong :premises (@p7312) :args (@t4014)) % 1.12/1.37 (step @p7314 :rule trans :premises (@p7313 @p6865)) % 1.12/1.37 (step @p7315 :rule refl :args (tptp.nonemptyE1)) % 1.12/1.37 (step @p7316 :rule cong :premises (@p7315 @p7314) :args ((= tptp.nonemptyE1 @t4014))) % 1.12/1.37 (step @p7317 :rule cong :premises (@p6880 @p7255) :args (@t206)) % 1.12/1.37 (step @p7318 :rule cong :premises (@p7317) :args (@t207)) % 1.12/1.37 (step @p7319 :rule cong :premises (@p7315 @p7318) :args (@t208)) % 1.12/1.37 (step @p7320 :rule trans :premises (@p7319 @p7316)) % 1.12/1.37 (step @p7321 :rule eq_resolve :premises (@p26 @p7320)) % 1.12/1.37 (step @p7322 :rule cong :premises (@p7321 @p7311) :args (@t4015)) % 1.12/1.37 (step @p7323 :rule cong :premises (@p1253 @p7263) :args (@t4016)) % 1.12/1.37 (step @p7324 :rule refl :args (@t1707)) % 1.12/1.37 (step @p7325 :rule cong :premises (@p7324 @p7323) :args (@t4017)) % 1.12/1.37 (step @p7326 :rule nary_cong :premises (@p904 @p7325) :args (@t4018)) % 1.12/1.37 (step @p7327 :rule cong :premises (@p7326) :args ((forall @t159 @t4018))) % 1.12/1.37 (step @p7328 :rule refl :args ((tptp.in @t4 @t156))) % 1.12/1.37 (step @p7329 :rule cong :premises (@p768 @p7271) :args (@t4016)) % 1.12/1.37 (step @p7330 :rule trans :premises (@p7329 @p7328)) % 1.12/1.37 (step @p7331 :rule ho_cong :premises (@p1305 @p7271)) % 1.12/1.37 (step @p7332 :rule cong :premises (@p7331 @p7330) :args ((= (_ @t5 @t3999) @t4016))) % 1.12/1.37 (step @p7333 :rule symm :premises (@p7332)) % 1.12/1.37 (step @p7334 :rule refl :args (@t157)) % 1.12/1.37 (step @p7335 :rule eq_resolve :premises (@p7334 @p7333)) % 1.12/1.37 (step @p7336 :rule ho_cong :premises (@p1305 @p7279)) % 1.12/1.37 (step @p7337 :rule trans :premises (@p7336 @p7335)) % 1.12/1.37 (step @p7338 :rule cong :premises (@p2463 @p7337) :args (@t4019)) % 1.12/1.37 (step @p7339 :rule nary_cong :premises (@p758 @p7338) :args (@t4020)) % 1.12/1.37 (step @p7340 :rule cong :premises (@p7339) :args ((forall @t159 @t4020))) % 1.12/1.37 (step @p7341 :rule trans :premises (@p7340 @p7327)) % 1.12/1.37 (step @p7342 :rule bool-impl-elim :args (@t7 @t4019)) % 1.12/1.37 (step @p7343 :rule cong :premises (@p7342) :args ((forall @t159 (=> @t7 @t4019)))) % 1.12/1.37 (step @p7344 :rule trans :premises (@p7343 @p7341)) % 1.12/1.37 (step @p7345 :rule eq-symm :args (@t157 @t144)) % 1.12/1.37 (step @p7346 :rule cong :premises (@p811 @p7345) :args (@t202)) % 1.12/1.37 (step @p7347 :rule cong :premises (@p7346) :args (@t203)) % 1.12/1.37 (step @p7348 :rule trans :premises (@p7347 @p7344)) % 1.12/1.37 (step @p7349 :rule refl :args (tptp.setbeta)) % 1.12/1.37 (step @p7350 :rule cong :premises (@p7349 @p7348) :args (@t204)) % 1.12/1.37 (step @p7351 :rule eq_resolve :premises (@p25 @p7350)) % 1.12/1.37 (step @p7352 :rule cong :premises (@p7351 @p7322) :args (@t4021)) % 1.12/1.37 (step @p7353 :rule eq-symm :args (@t2064 tptp.noeltsimpempty)) % 1.12/1.37 (step @p7354 :rule refl :args (tptp.noeltsimpempty)) % 1.12/1.37 (step @p7355 :rule bool-impl-elim :args (@t2001 @t196)) % 1.12/1.37 (step @p7356 :rule cong :premises (@p7355) :args ((forall @t64 (=> @t2001 @t196)))) % 1.12/1.37 (step @p7357 :rule refl :args (@t196)) % 1.12/1.37 (step @p7358 :rule cong :premises (@p6866 @p7357) :args (@t199)) % 1.12/1.37 (step @p7359 :rule cong :premises (@p7358) :args (@t200)) % 1.12/1.37 (step @p7360 :rule trans :premises (@p7359 @p7356)) % 1.12/1.37 (step @p7361 :rule cong :premises (@p7360 @p7354) :args ((= @t200 tptp.noeltsimpempty))) % 1.12/1.37 (step @p7362 :rule trans :premises (@p7361 @p7353)) % 1.12/1.37 (step @p7363 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 1.12/1.37 (step @p7364 :rule trans :premises (@p7363 @p7362)) % 1.12/1.37 (step @p7365 :rule eq_resolve :premises (@p24 @p7364)) % 1.12/1.37 (step @p7366 :rule cong :premises (@p7365 @p7352) :args (@t4022)) % 1.12/1.37 (step @p7367 :rule refl :args (tptp.emptyI)) % 1.12/1.37 (step @p7368 :rule cong :premises (@p7367 @p7360) :args (@t201)) % 1.12/1.37 (step @p7369 :rule eq_resolve :premises (@p23 @p7368)) % 1.12/1.37 (step @p7370 :rule cong :premises (@p7369 @p7366) :args (@t4023)) % 1.12/1.37 (step @p7371 :rule aci_norm :args ((= (or @t1912 (or @t2032 @t3)) @t2067))) % 1.12/1.37 (step @p7372 :rule bool-impl-elim :args (@t2031 @t3)) % 1.12/1.37 (step @p7373 :rule nary_cong :premises (@p5694 @p7372) :args ((or @t1912 @t4024))) % 1.12/1.37 (step @p7374 :rule trans :premises (@p7373 @p7371)) % 1.12/1.37 (step @p7375 :rule bool-impl-elim :args (@t1911 @t4024)) % 1.12/1.37 (step @p7376 :rule trans :premises (@p7375 @p7374)) % 1.12/1.37 (step @p7377 :rule cong :premises (@p7376) :args ((forall @t12 (=> @t1911 @t4024)))) % 1.12/1.37 (step @p7378 :rule cong :premises (@p7073 @p5876) :args (@t190)) % 1.12/1.37 (step @p7379 :rule cong :premises (@p5703 @p7378) :args (@t193)) % 1.12/1.37 (step @p7380 :rule cong :premises (@p7379) :args (@t194)) % 1.12/1.37 (step @p7381 :rule trans :premises (@p7380 @p7377)) % 1.12/1.37 (step @p7382 :rule refl :args (tptp.setext)) % 1.12/1.37 (step @p7383 :rule cong :premises (@p7382 @p7381) :args (@t195)) % 1.12/1.37 (step @p7384 :rule eq_resolve :premises (@p22 @p7383)) % 1.12/1.37 (step @p7385 :rule cong :premises (@p7384 @p7370) :args (@t4025)) % 1.12/1.37 (step @p7386 :rule eq-symm :args (@t2070 @t19)) % 1.12/1.37 (step @p7387 :rule nary_cong :premises (@p5891 @p7386) :args (@t4026)) % 1.12/1.37 (step @p7388 :rule cong :premises (@p7387) :args (@t4027)) % 1.12/1.37 (step @p7389 :rule cong :premises (@p7388) :args (@t4028)) % 1.12/1.37 (step @p7390 :rule refl :args (@t2071)) % 1.12/1.37 (step @p7391 :rule refl :args (@t2073)) % 1.12/1.37 (step @p7392 :rule nary_cong :premises (@p7391 @p7390 @p7389) :args (@t4029)) % 1.12/1.37 (step @p7393 :rule aci_norm :args ((= @t4031 @t4029))) % 1.12/1.37 (step @p7394 :rule trans :premises (@p7393 @p7392)) % 1.12/1.37 (step @p7395 :rule cong :premises (@p7394) :args (@t4032)) % 1.12/1.37 (step @p7396 :rule quant-merge-prenex :args ((= (forall @t150 @t4034) @t4032))) % 1.12/1.37 (step @p7397 :rule refl :args (@t2073)) % 1.12/1.37 (step @p7398 :rule alpha_equiv :args (@t4035 (@list @t2070) @t2487)) % 1.12/1.37 (step @p7399 :rule nary_cong :premises (@p7398 @p7397) :args (@t4036)) % 1.12/1.37 (step @p7400 :rule quant-miniscope-or :args ((= @t4034 @t4036))) % 1.12/1.37 (step @p7401 :rule trans :premises (@p7400 @p7399)) % 1.12/1.37 (step @p7402 :rule symm :premises (@p7401)) % 1.12/1.37 (step @p7403 :rule cong :premises (@p7402) :args ((forall @t150 (or @t1953 @t2073)))) % 1.12/1.37 (step @p7404 :rule trans :premises (@p7403 @p7396)) % 1.12/1.37 (step @p7405 :rule trans :premises (@p7404 @p7395)) % 1.12/1.37 (step @p7406 :rule nary_cong :premises (@p5959 @p7397) :args ((or @t3657 @t2073))) % 1.12/1.37 (step @p7407 :rule bool-impl-elim :args (@t1954 @t2073)) % 1.12/1.37 (step @p7408 :rule trans :premises (@p7407 @p7406)) % 1.12/1.37 (step @p7409 :rule cong :premises (@p7408) :args ((forall @t150 (=> @t1954 @t2073)))) % 1.12/1.37 (step @p7410 :rule trans :premises (@p7409 @p7405)) % 1.12/1.37 (step @p7411 :rule cong :premises (@p6011 @p6493) :args (@t4037)) % 1.12/1.37 (step @p7412 :rule cong :premises (@p7411) :args (@t4038)) % 1.12/1.37 (step @p7413 :rule trans :premises (@p7412 @p7410)) % 1.12/1.37 (step @p7414 :rule refl :args (tptp.exuE3e)) % 1.12/1.37 (step @p7415 :rule cong :premises (@p7414 @p7413) :args ((= tptp.exuE3e @t4038))) % 1.12/1.37 (step @p7416 :rule cong :premises (@p6054 @p6500) :args (@t187)) % 1.12/1.37 (step @p7417 :rule cong :premises (@p7416) :args (@t188)) % 1.12/1.37 (step @p7418 :rule cong :premises (@p7414 @p7417) :args (@t189)) % 1.12/1.37 (step @p7419 :rule trans :premises (@p7418 @p7415)) % 1.12/1.37 (step @p7420 :rule eq_resolve :premises (@p21 @p7419)) % 1.12/1.37 (step @p7421 :rule cong :premises (@p7420 @p7385) :args (@t4039)) % 1.12/1.37 (step @p7422 :rule eq-symm :args (@t2077 tptp.notinemptyset)) % 1.12/1.37 (step @p7423 :rule refl :args (tptp.notinemptyset)) % 1.12/1.37 (step @p7424 :rule cong :premises (@p6710) :args (@t17)) % 1.12/1.37 (step @p7425 :rule cong :premises (@p7424 @p7423) :args ((= @t17 tptp.notinemptyset))) % 1.12/1.37 (step @p7426 :rule trans :premises (@p7425 @p7422)) % 1.12/1.37 (step @p7427 :rule eq-symm :args (tptp.notinemptyset @t17)) % 1.12/1.37 (step @p7428 :rule trans :premises (@p7427 @p7426)) % 1.12/1.37 (step @p7429 :rule eq_resolve :premises (@p20 @p7428)) % 1.12/1.37 (step @p7430 :rule cong :premises (@p7429 @p7421) :args (@t4040)) % 1.12/1.37 (step @p7431 :rule bool-impl-false1 :args (@t15)) % 1.12/1.37 (step @p7432 :rule cong :premises (@p7431) :args (@t184)) % 1.12/1.37 (step @p7433 :rule trans :premises (@p7432 @p7424)) % 1.12/1.37 (step @p7434 :rule refl :args (tptp.emptysetimpfalse)) % 1.12/1.37 (step @p7435 :rule cong :premises (@p7434 @p7433) :args (@t185)) % 1.12/1.37 (step @p7436 :rule eq_resolve :premises (@p19 @p7435)) % 1.12/1.37 (step @p7437 :rule cong :premises (@p7436 @p7430) :args (@t4041)) % 1.12/1.37 (step @p7438 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t173)) false))) % 1.12/1.37 (step @p7439 :rule nary_cong :premises (@p830 @p824) :args (@t4042)) % 1.12/1.37 (step @p7440 :rule aci_norm :args ((= @t173 @t4042))) % 1.12/1.37 (step @p7441 :rule trans :premises (@p7440 @p7439)) % 1.12/1.37 (step @p7442 :rule cong :premises (@p7441) :args (@t180)) % 1.12/1.37 (step @p7443 :rule trans :premises (@p7442 @p7438)) % 1.12/1.37 (step @p7444 :rule refl :args (@t15)) % 1.12/1.37 (step @p7445 :rule cong :premises (@p7444 @p7443) :args (@t181)) % 1.12/1.37 (step @p7446 :rule trans :premises (@p7445 @p7431)) % 1.12/1.37 (step @p7447 :rule cong :premises (@p7446) :args (@t182)) % 1.12/1.37 (step @p7448 :rule trans :premises (@p7447 @p7424)) % 1.12/1.37 (step @p7449 :rule refl :args (tptp.emptysetE)) % 1.12/1.37 (step @p7450 :rule cong :premises (@p7449 @p7448) :args (@t183)) % 1.12/1.37 (step @p7451 :rule eq_resolve :premises (@p18 @p7450)) % 1.12/1.37 (step @p7452 :rule cong :premises (@p7451 @p7437) :args (@t4043)) % 1.12/1.37 (step @p7453 :rule aci_norm :args ((= @t4044 @t2081))) % 1.12/1.37 (step @p7454 :rule cong :premises (@p7453) :args ((forall @t9 @t4044))) % 1.12/1.37 (step @p7455 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t2425 @t4046 @t173)) @t4044))) % 1.12/1.37 (step @p7456 :rule refl :args (@t4046)) % 1.12/1.37 (step @p7457 :rule nary_cong :premises (@p830 @p7456 @p824) :args (@t4047)) % 1.12/1.37 (step @p7458 :rule aci_norm :args ((= @t4048 @t4047))) % 1.12/1.37 (step @p7459 :rule trans :premises (@p7458 @p7457)) % 1.12/1.37 (step @p7460 :rule cong :premises (@p7459) :args (@t4049)) % 1.12/1.37 (step @p7461 :rule trans :premises (@p7460 @p7455)) % 1.12/1.37 (step @p7462 :rule cong :premises (@p7461) :args (@t4050)) % 1.12/1.37 (step @p7463 :rule quant-merge-prenex :args ((= @t4050 @t4051))) % 1.12/1.37 (step @p7464 :rule symm :premises (@p7463)) % 1.12/1.37 (step @p7465 :rule quant_var_reordering :args ((= (forall @t176 @t4048) @t4051))) % 1.12/1.37 (step @p7466 :rule trans :premises (@p7465 @p7464 @p7462)) % 1.12/1.37 (step @p7467 :rule trans :premises (@p7466 @p7454)) % 1.12/1.37 (step @p7468 :rule refl :args ((tptp.in @t4 @t174))) % 1.12/1.37 (step @p7469 :rule cong :premises (@p768 @p6611) :args (@t4045)) % 1.12/1.37 (step @p7470 :rule trans :premises (@p7469 @p7468)) % 1.12/1.37 (step @p7471 :rule ho_cong :premises (@p1305 @p6611)) % 1.12/1.37 (step @p7472 :rule cong :premises (@p7471 @p7470) :args ((= (_ @t5 @t3863) @t4045))) % 1.12/1.37 (step @p7473 :rule symm :premises (@p7472)) % 1.12/1.37 (step @p7474 :rule refl :args (@t175)) % 1.12/1.37 (step @p7475 :rule eq_resolve :premises (@p7474 @p7473)) % 1.12/1.37 (step @p7476 :rule ho_cong :premises (@p1305 @p6623)) % 1.12/1.37 (step @p7477 :rule trans :premises (@p7476 @p7475)) % 1.12/1.37 (step @p7478 :rule cong :premises (@p7477) :args (@t4052)) % 1.12/1.37 (step @p7479 :rule nary_cong :premises (@p7478 @p824) :args (@t4053)) % 1.12/1.37 (step @p7480 :rule cong :premises (@p7479) :args ((forall @t176 @t4053))) % 1.12/1.37 (step @p7481 :rule trans :premises (@p7480 @p7467)) % 1.12/1.37 (step @p7482 :rule bool-impl-elim :args (@t175 @t173)) % 1.12/1.37 (step @p7483 :rule cong :premises (@p7482) :args (@t177)) % 1.12/1.37 (step @p7484 :rule trans :premises (@p7483 @p7481)) % 1.12/1.37 (step @p7485 :rule refl :args (tptp.prop2setE)) % 1.12/1.37 (step @p7486 :rule cong :premises (@p7485 @p7484) :args (@t178)) % 1.12/1.37 (step @p7487 :rule eq_resolve :premises (@p17 @p7486)) % 1.12/1.37 (step @p7488 :rule cong :premises (@p7487 @p7452) :args (@t4054)) % 1.12/1.37 (step @p7489 :rule bool-eq-true :args (tptp.exuE1)) % 1.12/1.37 (step @p7490 :rule symm :premises (@p7489)) % 1.12/1.37 (step @p7491 :rule cong :premises (@p6011 @p6049) :args (@t4055)) % 1.12/1.37 (step @p7492 :rule cong :premises (@p7491) :args (@t4056)) % 1.12/1.37 (step @p7493 :rule trans :premises (@p7492 @p6516)) % 1.12/1.37 (step @p7494 :rule refl :args (tptp.exuE1)) % 1.12/1.37 (step @p7495 :rule cong :premises (@p7494 @p7493) :args ((= tptp.exuE1 @t4056))) % 1.12/1.37 (step @p7496 :rule trans :premises (@p7495 @p7489)) % 1.12/1.37 (step @p7497 :rule cong :premises (@p6054 @p6523) :args (@t170)) % 1.12/1.37 (step @p7498 :rule cong :premises (@p7497) :args (@t171)) % 1.12/1.37 (step @p7499 :rule cong :premises (@p7494 @p7498) :args (@t172)) % 1.12/1.37 (step @p7500 :rule trans :premises (@p7499 @p7496)) % 1.12/1.37 (step @p7501 :rule eq_resolve :premises (@p16 @p7500)) % 1.12/1.37 (step @p7502 :rule eq_resolve :premises (@p7501 @p7490)) % 1.12/1.37 (step @p7503 :rule cong :premises (@p7502 @p7488) :args (@t4057)) % 1.12/1.37 (step @p7504 :rule cong :premises (@p7323) :args (@t4058)) % 1.12/1.37 (step @p7505 :rule nary_cong :premises (@p7504 @p7324) :args (@t4059)) % 1.12/1.37 (step @p7506 :rule cong :premises (@p7505) :args ((forall @t159 @t4059))) % 1.12/1.37 (step @p7507 :rule cong :premises (@p7337) :args (@t4060)) % 1.12/1.37 (step @p7508 :rule nary_cong :premises (@p7507 @p2463) :args (@t4061)) % 1.12/1.37 (step @p7509 :rule cong :premises (@p7508) :args ((forall @t159 @t4061))) % 1.12/1.37 (step @p7510 :rule trans :premises (@p7509 @p7506)) % 1.12/1.37 (step @p7511 :rule bool-impl-elim :args (@t157 @t144)) % 1.12/1.37 (step @p7512 :rule cong :premises (@p7511) :args (@t164)) % 1.12/1.37 (step @p7513 :rule trans :premises (@p7512 @p7510)) % 1.12/1.37 (step @p7514 :rule refl :args (tptp.dsetconstrER)) % 1.12/1.37 (step @p7515 :rule cong :premises (@p7514 @p7513) :args (@t165)) % 1.12/1.37 (step @p7516 :rule eq_resolve :premises (@p15 @p7515)) % 1.12/1.37 (step @p7517 :rule cong :premises (@p7516 @p7503) :args (@t4062)) % 1.12/1.37 (step @p7518 :rule nary_cong :premises (@p7504 @p3032) :args (@t4063)) % 1.12/1.37 (step @p7519 :rule cong :premises (@p7518) :args ((forall @t159 @t4063))) % 1.12/1.37 (step @p7520 :rule nary_cong :premises (@p7507 @p757) :args (@t4064)) % 1.12/1.37 (step @p7521 :rule cong :premises (@p7520) :args ((forall @t159 @t4064))) % 1.12/1.37 (step @p7522 :rule trans :premises (@p7521 @p7519)) % 1.12/1.37 (step @p7523 :rule bool-impl-elim :args (@t157 @t7)) % 1.12/1.37 (step @p7524 :rule cong :premises (@p7523) :args (@t162)) % 1.12/1.37 (step @p7525 :rule trans :premises (@p7524 @p7522)) % 1.12/1.37 (step @p7526 :rule refl :args (tptp.dsetconstrEL)) % 1.12/1.37 (step @p7527 :rule cong :premises (@p7526 @p7525) :args (@t163)) % 1.12/1.37 (step @p7528 :rule eq_resolve :premises (@p14 @p7527)) % 1.12/1.37 (step @p7529 :rule cong :premises (@p7528 @p7517) :args (@t4065)) % 1.12/1.37 (step @p7530 :rule nary_cong :premises (@p904 @p3888 @p7323) :args (@t4066)) % 1.12/1.37 (step @p7531 :rule cong :premises (@p7530) :args ((forall @t159 @t4066))) % 1.12/1.37 (step @p7532 :rule nary_cong :premises (@p758 @p2489 @p7337) :args (@t4067)) % 1.12/1.37 (step @p7533 :rule cong :premises (@p7532) :args ((forall @t159 @t4067))) % 1.12/1.37 (step @p7534 :rule trans :premises (@p7533 @p7531)) % 1.12/1.37 (step @p7535 :rule aci_norm :args ((= (or @t197 (or @t317 @t157)) @t4067))) % 1.12/1.37 (step @p7536 :rule bool-impl-elim :args (@t144 @t157)) % 1.12/1.37 (step @p7537 :rule nary_cong :premises (@p3929 @p7536) :args ((or @t197 @t158))) % 1.12/1.37 (step @p7538 :rule trans :premises (@p7537 @p7535)) % 1.12/1.37 (step @p7539 :rule bool-impl-elim :args (@t7 @t158)) % 1.12/1.37 (step @p7540 :rule trans :premises (@p7539 @p7538)) % 1.12/1.37 (step @p7541 :rule cong :premises (@p7540) :args (@t160)) % 1.12/1.37 (step @p7542 :rule trans :premises (@p7541 @p7534)) % 1.12/1.37 (step @p7543 :rule refl :args (tptp.dsetconstrI)) % 1.12/1.37 (step @p7544 :rule cong :premises (@p7543 @p7542) :args (@t161)) % 1.12/1.37 (step @p7545 :rule eq_resolve :premises (@p13 @p7544)) % 1.12/1.37 (step @p7546 :rule cong :premises (@p7545 @p7529) :args (@t4068)) % 1.12/1.37 (step @p7547 :rule eq-symm :args (@t2091 @t19)) % 1.12/1.37 (step @p7548 :rule nary_cong :premises (@p5891 @p7547) :args (@t4069)) % 1.12/1.37 (step @p7549 :rule cong :premises (@p7548) :args (@t4070)) % 1.12/1.37 (step @p7550 :rule cong :premises (@p7549) :args (@t4071)) % 1.12/1.37 (step @p7551 :rule refl :args (@t2092)) % 1.12/1.37 (step @p7552 :rule refl :args (@t2093)) % 1.12/1.37 (step @p7553 :rule nary_cong :premises (@p7552 @p7551 @p7550) :args (@t4072)) % 1.12/1.37 (step @p7554 :rule aci_norm :args ((= @t4074 @t4072))) % 1.12/1.37 (step @p7555 :rule trans :premises (@p7554 @p7553)) % 1.12/1.37 (step @p7556 :rule cong :premises (@p7555) :args (@t4075)) % 1.12/1.37 (step @p7557 :rule quant-merge-prenex :args ((= (forall @t150 @t4077) @t4075))) % 1.12/1.37 (step @p7558 :rule refl :args (@t2093)) % 1.12/1.37 (step @p7559 :rule alpha_equiv :args (@t4078 (@list @t2091) @t2487)) % 1.12/1.37 (step @p7560 :rule nary_cong :premises (@p7559 @p7558) :args (@t4079)) % 1.12/1.37 (step @p7561 :rule quant-miniscope-or :args ((= @t4077 @t4079))) % 1.12/1.37 (step @p7562 :rule trans :premises (@p7561 @p7560)) % 1.12/1.37 (step @p7563 :rule symm :premises (@p7562)) % 1.12/1.37 (step @p7564 :rule cong :premises (@p7563) :args ((forall @t150 (or @t1953 @t2093)))) % 1.12/1.37 (step @p7565 :rule trans :premises (@p7564 @p7557)) % 1.12/1.37 (step @p7566 :rule trans :premises (@p7565 @p7556)) % 1.12/1.37 (step @p7567 :rule cong :premises (@p5915) :args (@t4080)) % 1.12/1.37 (step @p7568 :rule nary_cong :premises (@p5918 @p7567) :args (@t4081)) % 1.12/1.37 (step @p7569 :rule cong :premises (@p7568) :args ((forall @t150 @t4081))) % 1.12/1.37 (step @p7570 :rule trans :premises (@p7569 @p7566)) % 1.12/1.37 (step @p7571 :rule refl :args ((_ @t143 @t146))) % 1.12/1.37 (step @p7572 :rule cong :premises (@p5935) :args (@t4080)) % 1.12/1.37 (step @p7573 :rule trans :premises (@p7572 @p7571)) % 1.12/1.37 (step @p7574 :rule ho_cong :premises (@p2620 @p5935)) % 1.12/1.37 (step @p7575 :rule cong :premises (@p7574 @p7573) :args ((= (_ @t143 @t3651) @t4080))) % 1.12/1.37 (step @p7576 :rule symm :premises (@p7575)) % 1.12/1.37 (step @p7577 :rule refl :args (@t147)) % 1.12/1.37 (step @p7578 :rule eq_resolve :premises (@p7577 @p7576)) % 1.12/1.37 (step @p7579 :rule ho_cong :premises (@p2620 @p5942)) % 1.12/1.37 (step @p7580 :rule trans :premises (@p7579 @p7578)) % 1.12/1.37 (step @p7581 :rule nary_cong :premises (@p5945 @p7580) :args (@t4082)) % 1.12/1.37 (step @p7582 :rule cong :premises (@p7581) :args ((forall @t150 @t4082))) % 1.12/1.37 (step @p7583 :rule trans :premises (@p7582 @p7570)) % 1.12/1.37 (step @p7584 :rule nary_cong :premises (@p5959 @p7577) :args ((or @t3657 @t147))) % 1.12/1.37 (step @p7585 :rule bool-impl-elim :args (@t1954 @t147)) % 1.12/1.37 (step @p7586 :rule trans :premises (@p7585 @p7584)) % 1.12/1.37 (step @p7587 :rule cong :premises (@p7586) :args ((forall @t150 (=> @t1954 @t147)))) % 1.12/1.37 (step @p7588 :rule trans :premises (@p7587 @p7583)) % 1.12/1.37 (step @p7589 :rule refl :args (@t147)) % 1.12/1.37 (step @p7590 :rule cong :premises (@p6011 @p7589) :args (@t4083)) % 1.12/1.37 (step @p7591 :rule cong :premises (@p7590) :args (@t4084)) % 1.12/1.37 (step @p7592 :rule trans :premises (@p7591 @p7588)) % 1.12/1.37 (step @p7593 :rule refl :args (tptp.descrp)) % 1.12/1.37 (step @p7594 :rule cong :premises (@p7593 @p7592) :args ((= tptp.descrp @t4084))) % 1.12/1.37 (step @p7595 :rule cong :premises (@p6054 @p7589) :args (@t149)) % 1.12/1.37 (step @p7596 :rule cong :premises (@p7595) :args (@t151)) % 1.12/1.37 (step @p7597 :rule cong :premises (@p7593 @p7596) :args (@t152)) % 1.12/1.37 (step @p7598 :rule trans :premises (@p7597 @p7594)) % 1.12/1.37 (step @p7599 :rule eq_resolve :premises (@p12 @p7598)) % 1.12/1.37 (step @p7600 :rule cong :premises (@p7599 @p7546) :args (@t4085)) % 1.12/1.37 (step @p7601 :rule aci_norm :args ((= (or @t2145 (or @t2138 (or @t2134 @t2122))) @t2146))) % 1.12/1.37 (step @p7602 :rule bool-and-de-morgan :args (@t2133 @t2121 true)) % 1.12/1.37 (step @p7603 :rule refl :args (@t2138)) % 1.12/1.37 (step @p7604 :rule nary_cong :premises (@p7603 @p7602) :args ((or @t2138 (not (and @t2133 @t2121))))) % 1.12/1.37 (step @p7605 :rule bool-and-de-morgan :args (@t2137 @t2133 (and @t2121))) % 1.12/1.37 (step @p7606 :rule trans :premises (@p7605 @p7604)) % 1.12/1.37 (step @p7607 :rule refl :args (@t2145)) % 1.12/1.37 (step @p7608 :rule nary_cong :premises (@p7607 @p7606) :args ((or @t2145 (not (and @t2137 @t2133 @t2121))))) % 1.12/1.37 (step @p7609 :rule bool-and-de-morgan :args (@t2144 @t2137 (and @t2133 @t2121))) % 1.12/1.37 (step @p7610 :rule trans :premises (@p7609 @p7608)) % 1.12/1.37 (step @p7611 :rule trans :premises (@p7610 @p7601)) % 1.12/1.37 (step @p7612 :rule cong :premises (@p7611) :args (@t4087)) % 1.12/1.37 (step @p7613 :rule cong :premises (@p7612) :args (@t4088)) % 1.12/1.37 (step @p7614 :rule exists-elim :args ((= (exists @t41 @t4086) @t4088))) % 1.12/1.37 (step @p7615 :rule trans :premises (@p7614 @p7613)) % 1.12/1.37 (step @p7616 :rule quant-merge-prenex :args ((= (forall @t118 @t4090) @t2121))) % 1.12/1.37 (step @p7617 :rule refl :args (@t2115)) % 1.12/1.37 (step @p7618 :rule alpha_equiv :args (@t4091 (@list @t2116) @t2487)) % 1.12/1.37 (step @p7619 :rule refl :args (@t2119)) % 1.12/1.37 (step @p7620 :rule nary_cong :premises (@p7619 @p7618 @p7617) :args (@t4092)) % 1.12/1.37 (step @p7621 :rule quant-miniscope-or :args ((= @t4090 @t4092))) % 1.12/1.37 (step @p7622 :rule trans :premises (@p7621 @p7620)) % 1.12/1.37 (step @p7623 :rule symm :premises (@p7622)) % 1.12/1.37 (step @p7624 :rule cong :premises (@p7623) :args ((forall @t118 @t4094))) % 1.12/1.37 (step @p7625 :rule trans :premises (@p7624 @p7616)) % 1.12/1.37 (step @p7626 :rule aci_norm :args ((= (or (or @t2119 @t4093) @t2115) @t4094))) % 1.12/1.37 (step @p7627 :rule bool-double-not-elim :args (@t4093)) % 1.12/1.37 (step @p7628 :rule nary_cong :premises (@p7619 @p7627) :args ((or @t2119 (not @t4095)))) % 1.12/1.37 (step @p7629 :rule bool-and-de-morgan :args (@t2118 @t4095 true)) % 1.12/1.37 (step @p7630 :rule trans :premises (@p7629 @p7628)) % 1.12/1.37 (step @p7631 :rule nary_cong :premises (@p7630 @p7617) :args ((or (not @t4096) @t2115))) % 1.12/1.37 (step @p7632 :rule trans :premises (@p7631 @p7626)) % 1.12/1.37 (step @p7633 :rule bool-impl-elim :args (@t4096 @t2115)) % 1.12/1.37 (step @p7634 :rule trans :premises (@p7633 @p7632)) % 1.12/1.37 (step @p7635 :rule cong :premises (@p7634) :args ((forall @t118 (=> @t4096 @t2115)))) % 1.12/1.37 (step @p7636 :rule trans :premises (@p7635 @p7625)) % 1.12/1.37 (step @p7637 :rule refl :args (@t2106)) % 1.12/1.37 (step @p7638 :rule refl :args (@t2110)) % 1.12/1.37 (step @p7639 :rule refl :args (@t2111)) % 1.12/1.37 (step @p7640 :rule refl :args (@t109)) % 1.12/1.37 (step @p7641 :rule cong :premises (@p7640 @p7639) :args ((= @t109 @t2111))) % 1.12/1.37 (step @p7642 :rule symm :premises (@p7641)) % 1.12/1.37 (step @p7643 :rule eq_resolve :premises (@p7640 @p7642)) % 1.12/1.37 (step @p7644 :rule cong :premises (@p7643) :args (@t4097)) % 1.12/1.37 (step @p7645 :rule refl :args (@t2113)) % 1.12/1.37 (step @p7646 :rule refl :args (@t110)) % 1.12/1.37 (step @p7647 :rule cong :premises (@p7646 @p7645) :args ((= @t110 @t2113))) % 1.12/1.37 (step @p7648 :rule symm :premises (@p7647)) % 1.12/1.37 (step @p7649 :rule eq_resolve :premises (@p7646 @p7648)) % 1.12/1.37 (step @p7650 :rule cong :premises (@p7649) :args (@t4098)) % 1.12/1.37 (step @p7651 :rule nary_cong :premises (@p7650 @p7644 @p7638 @p7637) :args (@t4099)) % 1.12/1.37 (step @p7652 :rule cong :premises (@p7651) :args ((forall @t112 @t4099))) % 1.12/1.37 (step @p7653 :rule aci_norm :args ((= (or @t4098 (or @t4097 (or @t2110 @t2106))) @t4099))) % 1.12/1.37 (step @p7654 :rule bool-and-de-morgan :args (@t2109 @t2105 true)) % 1.12/1.37 (step @p7655 :rule refl :args (@t4097)) % 1.12/1.37 (step @p7656 :rule nary_cong :premises (@p7655 @p7654) :args ((or @t4097 (not (and @t2109 @t2105))))) % 1.12/1.37 (step @p7657 :rule bool-and-de-morgan :args (@t109 @t2109 (and @t2105))) % 1.12/1.37 (step @p7658 :rule trans :premises (@p7657 @p7656)) % 1.12/1.37 (step @p7659 :rule refl :args (@t4098)) % 1.12/1.37 (step @p7660 :rule nary_cong :premises (@p7659 @p7658) :args ((or @t4098 (not (and @t109 @t2109 @t2105))))) % 1.12/1.37 (step @p7661 :rule bool-and-de-morgan :args (@t110 @t109 (and @t2109 @t2105))) % 1.12/1.37 (step @p7662 :rule trans :premises (@p7661 @p7660)) % 1.12/1.37 (step @p7663 :rule trans :premises (@p7662 @p7653)) % 1.12/1.37 (step @p7664 :rule cong :premises (@p7663) :args (@t4101)) % 1.12/1.37 (step @p7665 :rule trans :premises (@p7664 @p7652)) % 1.12/1.37 (step @p7666 :rule cong :premises (@p7665) :args (@t4102)) % 1.12/1.37 (step @p7667 :rule exists-elim :args ((= (exists @t112 @t4100) @t4102))) % 1.12/1.37 (step @p7668 :rule trans :premises (@p7667 @p7666)) % 1.12/1.37 (step @p7669 :rule aci_norm :args ((= @t4104 @t2103))) % 1.12/1.37 (step @p7670 :rule cong :premises (@p7669) :args (@t4105)) % 1.12/1.37 (step @p7671 :rule quant-merge-prenex :args ((= (forall @t102 @t4107) @t4105))) % 1.12/1.37 (step @p7672 :rule refl :args (@t2100)) % 1.12/1.37 (step @p7673 :rule alpha_equiv :args (@t4108 (@list @t2097) @t2413)) % 1.12/1.37 (step @p7674 :rule refl :args (@t2102)) % 1.12/1.37 (step @p7675 :rule nary_cong :premises (@p7674 @p7673 @p7672) :args (@t4109)) % 1.12/1.37 (step @p7676 :rule quant-miniscope-or :args ((= @t4107 @t4109))) % 1.12/1.37 (step @p7677 :rule trans :premises (@p7676 @p7675)) % 1.12/1.37 (step @p7678 :rule symm :premises (@p7677)) % 1.12/1.37 (step @p7679 :rule cong :premises (@p7678) :args ((forall @t102 (or @t2102 @t4111 @t2100)))) % 1.12/1.37 (step @p7680 :rule trans :premises (@p7679 @p7671)) % 1.12/1.37 (step @p7681 :rule trans :premises (@p7680 @p7670)) % 1.12/1.37 (step @p7682 :rule refl :args (@t2100)) % 1.12/1.37 (step @p7683 :rule refl :args (@t94)) % 1.12/1.37 (step @p7684 :rule cong :premises (@p7683 @p7682) :args ((= @t94 @t2100))) % 1.12/1.37 (step @p7685 :rule symm :premises (@p7684)) % 1.12/1.37 (step @p7686 :rule eq_resolve :premises (@p7683 @p7685)) % 1.12/1.37 (step @p7687 :rule refl :args (@t4111)) % 1.12/1.37 (step @p7688 :rule refl :args (@t2101)) % 1.12/1.37 (step @p7689 :rule refl :args (@t100)) % 1.12/1.37 (step @p7690 :rule cong :premises (@p7689 @p7688) :args ((= @t100 @t2101))) % 1.12/1.37 (step @p7691 :rule symm :premises (@p7690)) % 1.12/1.37 (step @p7692 :rule eq_resolve :premises (@p7689 @p7691)) % 1.12/1.37 (step @p7693 :rule cong :premises (@p7692) :args (@t4112)) % 1.12/1.37 (step @p7694 :rule nary_cong :premises (@p7693 @p7687 @p7686) :args (@t4113)) % 1.12/1.37 (step @p7695 :rule cong :premises (@p7694) :args ((forall @t102 @t4113))) % 1.12/1.37 (step @p7696 :rule trans :premises (@p7695 @p7681)) % 1.12/1.37 (step @p7697 :rule aci_norm :args ((= (or @t4112 @t4114) @t4113))) % 1.12/1.37 (step @p7698 :rule bool-impl-elim :args (@t100 @t4114)) % 1.12/1.37 (step @p7699 :rule trans :premises (@p7698 @p7697)) % 1.12/1.37 (step @p7700 :rule cong :premises (@p7699) :args ((forall @t102 (=> @t100 @t4114)))) % 1.12/1.37 (step @p7701 :rule trans :premises (@p7700 @p7696)) % 1.12/1.37 (step @p7702 :rule refl :args (@t94)) % 1.12/1.37 (step @p7703 :rule refl :args (@t2108)) % 1.12/1.37 (step @p7704 :rule refl :args (@t96)) % 1.12/1.37 (step @p7705 :rule cong :premises (@p7704 @p7703) :args ((= @t96 @t2108))) % 1.12/1.37 (step @p7706 :rule symm :premises (@p7705)) % 1.12/1.37 (step @p7707 :rule eq_resolve :premises (@p7704 @p7706)) % 1.12/1.37 (step @p7708 :rule refl :args (@t4110)) % 1.12/1.37 (step @p7709 :rule refl :args (@t97)) % 1.12/1.37 (step @p7710 :rule cong :premises (@p7709 @p7708) :args ((= @t97 @t4110))) % 1.12/1.37 (step @p7711 :rule symm :premises (@p7710)) % 1.12/1.37 (step @p7712 :rule eq_resolve :premises (@p7709 @p7711)) % 1.12/1.37 (step @p7713 :rule cong :premises (@p7712) :args (@t4115)) % 1.12/1.37 (step @p7714 :rule nary_cong :premises (@p7713 @p7707) :args (@t4116)) % 1.12/1.37 (step @p7715 :rule cong :premises (@p7714) :args ((forall @t70 @t4116))) % 1.12/1.37 (step @p7716 :rule bool-impl-elim :args (@t97 @t96)) % 1.12/1.37 (step @p7717 :rule cong :premises (@p7716) :args (@t98)) % 1.12/1.37 (step @p7718 :rule trans :premises (@p7717 @p7715)) % 1.12/1.37 (step @p7719 :rule nary_cong :premises (@p7718 @p7702) :args (@t99)) % 1.12/1.37 (step @p7720 :rule refl :args (@t100)) % 1.12/1.37 (step @p7721 :rule cong :premises (@p7720 @p7719) :args (@t101)) % 1.12/1.37 (step @p7722 :rule cong :premises (@p7721) :args (@t103)) % 1.12/1.37 (step @p7723 :rule trans :premises (@p7722 @p7701)) % 1.12/1.37 (step @p7724 :rule bool-double-not-elim :args (@t2109)) % 1.12/1.37 (step @p7725 :rule refl :args (@t2107)) % 1.12/1.37 (step @p7726 :rule refl :args (@t105)) % 1.12/1.37 (step @p7727 :rule cong :premises (@p7726 @p7725) :args ((= @t105 @t2107))) % 1.12/1.37 (step @p7728 :rule symm :premises (@p7727)) % 1.12/1.37 (step @p7729 :rule eq_resolve :premises (@p7726 @p7728)) % 1.12/1.37 (step @p7730 :rule cong :premises (@p7729) :args (@t4117)) % 1.12/1.37 (step @p7731 :rule cong :premises (@p7707) :args (@t4118)) % 1.12/1.37 (step @p7732 :rule nary_cong :premises (@p7731 @p7730) :args (@t4119)) % 1.12/1.37 (step @p7733 :rule cong :premises (@p7732) :args ((forall @t70 @t4119))) % 1.12/1.37 (step @p7734 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 1.12/1.37 (step @p7735 :rule cong :premises (@p7734) :args (@t4120)) % 1.12/1.37 (step @p7736 :rule trans :premises (@p7735 @p7733)) % 1.12/1.37 (step @p7737 :rule cong :premises (@p7736) :args (@t4121)) % 1.12/1.37 (step @p7738 :rule exists-elim :args ((= @t107 @t4121))) % 1.12/1.37 (step @p7739 :rule trans :premises (@p7738 @p7737)) % 1.12/1.37 (step @p7740 :rule cong :premises (@p7739) :args (@t108)) % 1.12/1.37 (step @p7741 :rule trans :premises (@p7740 @p7724)) % 1.12/1.37 (step @p7742 :rule refl :args (@t109)) % 1.12/1.37 (step @p7743 :rule refl :args (@t110)) % 1.12/1.37 (step @p7744 :rule nary_cong :premises (@p7743 @p7742 @p7741 @p7723) :args (@t111)) % 1.12/1.37 (step @p7745 :rule cong :premises (@p7744) :args (@t113)) % 1.12/1.37 (step @p7746 :rule trans :premises (@p7745 @p7668)) % 1.12/1.37 (step @p7747 :rule cong :premises (@p7644) :args (@t4122)) % 1.12/1.37 (step @p7748 :rule cong :premises (@p7747) :args (@t4123)) % 1.12/1.37 (step @p7749 :rule exists-elim :args ((= @t114 @t4123))) % 1.12/1.37 (step @p7750 :rule trans :premises (@p7749 @p7748)) % 1.12/1.37 (step @p7751 :rule nary_cong :premises (@p7644 @p757) :args (@t4124)) % 1.12/1.37 (step @p7752 :rule cong :premises (@p7751) :args ((forall @t9 @t4124))) % 1.12/1.37 (step @p7753 :rule bool-impl-elim :args (@t109 @t7)) % 1.12/1.37 (step @p7754 :rule cong :premises (@p7753) :args (@t115)) % 1.12/1.37 (step @p7755 :rule trans :premises (@p7754 @p7752)) % 1.12/1.37 (step @p7756 :rule nary_cong :premises (@p7755 @p7750) :args (@t116)) % 1.12/1.37 (step @p7757 :rule cong :premises (@p7756 @p7746) :args (@t117)) % 1.12/1.37 (step @p7758 :rule cong :premises (@p7757) :args (@t119)) % 1.12/1.37 (step @p7759 :rule trans :premises (@p7758 @p7636)) % 1.12/1.37 (step @p7760 :rule aci_norm :args ((= @t4127 @t2131))) % 1.12/1.37 (step @p7761 :rule cong :premises (@p7760) :args (@t4128)) % 1.12/1.37 (step @p7762 :rule quant-merge-prenex :args ((= (forall @t127 @t4129) @t4128))) % 1.12/1.37 (step @p7763 :rule alpha_equiv :args (@t4130 (@list @t2123) @t2487)) % 1.12/1.37 (step @p7764 :rule alpha_equiv :args (@t4131 (@list @t2126) @t2487)) % 1.12/1.37 (step @p7765 :rule refl :args (@t2114)) % 1.12/1.37 (step @p7766 :rule refl :args (@t2130)) % 1.12/1.37 (step @p7767 :rule nary_cong :premises (@p7766 @p7765 @p7764 @p7763) :args (@t4132)) % 1.12/1.37 (step @p7768 :rule quant-miniscope-or :args ((= @t4129 @t4132))) % 1.12/1.37 (step @p7769 :rule trans :premises (@p7768 @p7767)) % 1.12/1.37 (step @p7770 :rule symm :premises (@p7769)) % 1.12/1.37 (step @p7771 :rule cong :premises (@p7770) :args ((forall @t127 (or @t2130 @t2114 @t4135 @t4134)))) % 1.12/1.37 (step @p7772 :rule trans :premises (@p7771 @p7762)) % 1.12/1.37 (step @p7773 :rule trans :premises (@p7772 @p7761)) % 1.12/1.37 (step @p7774 :rule refl :args (@t4134)) % 1.12/1.37 (step @p7775 :rule refl :args (@t4135)) % 1.12/1.37 (step @p7776 :rule refl :args (@t2129)) % 1.12/1.37 (step @p7777 :rule refl :args (@t124)) % 1.12/1.37 (step @p7778 :rule cong :premises (@p7777 @p7776) :args ((= @t124 @t2129))) % 1.12/1.37 (step @p7779 :rule symm :premises (@p7778)) % 1.12/1.37 (step @p7780 :rule eq_resolve :premises (@p7777 @p7779)) % 1.12/1.37 (step @p7781 :rule cong :premises (@p7780) :args (@t4136)) % 1.12/1.37 (step @p7782 :rule nary_cong :premises (@p7781 @p7650 @p7775 @p7774) :args (@t4137)) % 1.12/1.37 (step @p7783 :rule cong :premises (@p7782) :args ((forall @t127 @t4137))) % 1.12/1.37 (step @p7784 :rule trans :premises (@p7783 @p7773)) % 1.12/1.37 (step @p7785 :rule aci_norm :args ((= (or (or @t4136 @t4098) @t4138) @t4137))) % 1.12/1.37 (step @p7786 :rule refl :args (@t4138)) % 1.12/1.37 (step @p7787 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 1.12/1.37 (step @p7788 :rule nary_cong :premises (@p7787 @p7786) :args ((or (not @t125) @t4138))) % 1.12/1.37 (step @p7789 :rule trans :premises (@p7788 @p7785)) % 1.12/1.37 (step @p7790 :rule bool-impl-elim :args (@t125 @t4138)) % 1.12/1.37 (step @p7791 :rule trans :premises (@p7790 @p7789)) % 1.12/1.37 (step @p7792 :rule cong :premises (@p7791) :args ((forall @t127 (=> @t125 @t4138)))) % 1.12/1.37 (step @p7793 :rule trans :premises (@p7792 @p7784)) % 1.12/1.37 (step @p7794 :rule refl :args (@t4133)) % 1.12/1.37 (step @p7795 :rule refl :args (@t120)) % 1.12/1.37 (step @p7796 :rule cong :premises (@p7795 @p7794) :args ((= @t120 @t4133))) % 1.12/1.37 (step @p7797 :rule symm :premises (@p7796)) % 1.12/1.37 (step @p7798 :rule eq_resolve :premises (@p7795 @p7797)) % 1.12/1.37 (step @p7799 :rule cong :premises (@p7798) :args (@t4139)) % 1.12/1.37 (step @p7800 :rule nary_cong :premises (@p7799 @p7643) :args (@t4140)) % 1.12/1.37 (step @p7801 :rule cong :premises (@p7800) :args ((forall @t9 @t4140))) % 1.12/1.37 (step @p7802 :rule bool-impl-elim :args (@t120 @t109)) % 1.12/1.37 (step @p7803 :rule cong :premises (@p7802) :args (@t121)) % 1.12/1.37 (step @p7804 :rule trans :premises (@p7803 @p7801)) % 1.12/1.37 (step @p7805 :rule nary_cong :premises (@p7644 @p7798) :args (@t4141)) % 1.12/1.37 (step @p7806 :rule cong :premises (@p7805) :args ((forall @t9 @t4141))) % 1.12/1.37 (step @p7807 :rule bool-impl-elim :args (@t109 @t120)) % 1.12/1.37 (step @p7808 :rule cong :premises (@p7807) :args (@t122)) % 1.12/1.37 (step @p7809 :rule trans :premises (@p7808 @p7806)) % 1.12/1.37 (step @p7810 :rule nary_cong :premises (@p7809 @p7804) :args (@t123)) % 1.12/1.37 (step @p7811 :rule refl :args (@t125)) % 1.12/1.37 (step @p7812 :rule cong :premises (@p7811 @p7810) :args (@t126)) % 1.12/1.37 (step @p7813 :rule cong :premises (@p7812) :args (@t128)) % 1.12/1.37 (step @p7814 :rule trans :premises (@p7813 @p7793)) % 1.12/1.37 (step @p7815 :rule refl :args (@t2136)) % 1.12/1.37 (step @p7816 :rule nary_cong :premises (@p758 @p805 @p7815 @p2498) :args (@t4142)) % 1.12/1.37 (step @p7817 :rule cong :premises (@p7816) :args ((forall @t135 @t4142))) % 1.12/1.37 (step @p7818 :rule aci_norm :args ((= (or (or @t197 @t2420) (or @t2136 @t129)) @t4142))) % 1.12/1.37 (step @p7819 :rule bool-impl-elim :args (@t2135 @t129)) % 1.12/1.37 (step @p7820 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 1.12/1.37 (step @p7821 :rule nary_cong :premises (@p7820 @p7819) :args ((or (not @t133) @t4143))) % 1.12/1.37 (step @p7822 :rule trans :premises (@p7821 @p7818)) % 1.12/1.37 (step @p7823 :rule bool-impl-elim :args (@t133 @t4143)) % 1.12/1.37 (step @p7824 :rule trans :premises (@p7823 @p7822)) % 1.12/1.37 (step @p7825 :rule cong :premises (@p7824) :args ((forall @t135 (=> @t133 @t4143)))) % 1.12/1.37 (step @p7826 :rule trans :premises (@p7825 @p7817)) % 1.12/1.37 (step @p7827 :rule cong :premises (@p7643 @p7729) :args (@t130)) % 1.12/1.37 (step @p7828 :rule nary_cong :premises (@p7781 @p7827) :args (@t4144)) % 1.12/1.37 (step @p7829 :rule cong :premises (@p7828) :args ((forall @t118 @t4144))) % 1.12/1.37 (step @p7830 :rule bool-impl-elim :args (@t124 @t130)) % 1.12/1.37 (step @p7831 :rule cong :premises (@p7830) :args (@t131)) % 1.12/1.37 (step @p7832 :rule trans :premises (@p7831 @p7829)) % 1.12/1.37 (step @p7833 :rule cong :premises (@p7832 @p3672) :args (@t132)) % 1.12/1.37 (step @p7834 :rule refl :args (@t133)) % 1.12/1.37 (step @p7835 :rule cong :premises (@p7834 @p7833) :args (@t134)) % 1.12/1.37 (step @p7836 :rule cong :premises (@p7835) :args (@t136)) % 1.12/1.37 (step @p7837 :rule trans :premises (@p7836 @p7826)) % 1.12/1.37 (step @p7838 :rule aci_norm :args ((= @t4146 @t2142))) % 1.12/1.37 (step @p7839 :rule cong :premises (@p7838) :args (@t4147)) % 1.12/1.37 (step @p7840 :rule quant-merge-prenex :args ((= (forall @t118 @t4149) @t4147))) % 1.12/1.37 (step @p7841 :rule alpha_equiv :args (@t4150 (@list @t2139) @t2487)) % 1.12/1.37 (step @p7842 :rule nary_cong :premises (@p7766 @p7841) :args (@t4151)) % 1.12/1.37 (step @p7843 :rule quant-miniscope-or :args ((= @t4149 @t4151))) % 1.12/1.37 (step @p7844 :rule trans :premises (@p7843 @p7842)) % 1.12/1.37 (step @p7845 :rule symm :premises (@p7844)) % 1.12/1.37 (step @p7846 :rule cong :premises (@p7845) :args ((forall @t118 (or @t2130 @t2118)))) % 1.12/1.37 (step @p7847 :rule trans :premises (@p7846 @p7840)) % 1.12/1.37 (step @p7848 :rule trans :premises (@p7847 @p7839)) % 1.12/1.37 (step @p7849 :rule refl :args (@t2118)) % 1.12/1.37 (step @p7850 :rule nary_cong :premises (@p7781 @p7849) :args (@t4152)) % 1.12/1.37 (step @p7851 :rule cong :premises (@p7850) :args ((forall @t118 @t4152))) % 1.12/1.37 (step @p7852 :rule trans :premises (@p7851 @p7848)) % 1.12/1.37 (step @p7853 :rule bool-impl-elim :args (@t124 @t2118)) % 1.12/1.37 (step @p7854 :rule cong :premises (@p7853) :args ((forall @t118 (=> @t124 @t2118)))) % 1.12/1.37 (step @p7855 :rule trans :premises (@p7854 @p7852)) % 1.12/1.37 (step @p7856 :rule refl :args (@t124)) % 1.12/1.37 (step @p7857 :rule cong :premises (@p7856 @p7755) :args (@t137)) % 1.12/1.37 (step @p7858 :rule cong :premises (@p7857) :args (@t138)) % 1.12/1.37 (step @p7859 :rule trans :premises (@p7858 @p7855)) % 1.12/1.37 (step @p7860 :rule nary_cong :premises (@p7859 @p7837 @p7814 @p7759) :args (@t139)) % 1.12/1.37 (step @p7861 :rule cong :premises (@p7860) :args (@t140)) % 1.12/1.37 (step @p7862 :rule trans :premises (@p7861 @p7615)) % 1.12/1.37 (step @p7863 :rule cong :premises (@p7862) :args (@t141)) % 1.12/1.37 (step @p7864 :rule refl :args (tptp.wellorderingAx)) % 1.12/1.37 (step @p7865 :rule cong :premises (@p7864 @p7863) :args (@t142)) % 1.12/1.37 (step @p7866 :rule eq_resolve :premises (@p11 @p7865)) % 1.12/1.37 (step @p7867 :rule cong :premises (@p7866 @p7600) :args (@t4153)) % 1.12/1.37 (step @p7868 :rule quant-merge-prenex :args ((= (forall @t64 @t4155) @t2155))) % 1.12/1.37 (step @p7869 :rule refl :args (@t2151)) % 1.12/1.37 (step @p7870 :rule alpha_equiv :args (@t4156 (@list @t2152) @t2487)) % 1.12/1.37 (step @p7871 :rule nary_cong :premises (@p7870 @p7869) :args (@t4157)) % 1.12/1.37 (step @p7872 :rule quant-miniscope-or :args ((= @t4155 @t4157))) % 1.12/1.37 (step @p7873 :rule trans :premises (@p7872 @p7871)) % 1.12/1.37 (step @p7874 :rule symm :premises (@p7873)) % 1.12/1.37 (step @p7875 :rule cong :premises (@p7874) :args ((forall @t64 (or @t2001 @t2151)))) % 1.12/1.37 (step @p7876 :rule trans :premises (@p7875 @p7868)) % 1.12/1.37 (step @p7877 :rule nary_cong :premises (@p7244 @p7869) :args ((or @t3994 @t2151))) % 1.12/1.37 (step @p7878 :rule bool-impl-elim :args (@t2002 @t2151)) % 1.12/1.37 (step @p7879 :rule trans :premises (@p7878 @p7877)) % 1.12/1.37 (step @p7880 :rule cong :premises (@p7879) :args ((forall @t64 (=> @t2002 @t2151)))) % 1.12/1.37 (step @p7881 :rule trans :premises (@p7880 @p7876)) % 1.12/1.37 (step @p7882 :rule refl :args (@t2150)) % 1.12/1.37 (step @p7883 :rule nary_cong :premises (@p6983 @p7882) :args (@t4158)) % 1.12/1.37 (step @p7884 :rule cong :premises (@p7883) :args ((forall @t41 @t4158))) % 1.12/1.37 (step @p7885 :rule bool-and-de-morgan :args (@t39 @t2149 true)) % 1.12/1.37 (step @p7886 :rule cong :premises (@p7885) :args (@t4160)) % 1.12/1.37 (step @p7887 :rule trans :premises (@p7886 @p7884)) % 1.12/1.37 (step @p7888 :rule cong :premises (@p7887) :args (@t4161)) % 1.12/1.37 (step @p7889 :rule exists-elim :args ((= (exists @t41 @t4159) @t4161))) % 1.12/1.37 (step @p7890 :rule trans :premises (@p7889 @p7888)) % 1.12/1.37 (step @p7891 :rule bool-double-not-elim :args (@t2149)) % 1.12/1.37 (step @p7892 :rule nary_cong :premises (@p4678 @p758) :args (@t4162)) % 1.12/1.37 (step @p7893 :rule cong :premises (@p7892) :args ((forall @t9 @t4162))) % 1.12/1.37 (step @p7894 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 1.12/1.37 (step @p7895 :rule cong :premises (@p7894) :args (@t4163)) % 1.12/1.37 (step @p7896 :rule trans :premises (@p7895 @p7893)) % 1.12/1.37 (step @p7897 :rule cong :premises (@p7896) :args (@t4164)) % 1.12/1.37 (step @p7898 :rule exists-elim :args ((= @t85 @t4164))) % 1.12/1.37 (step @p7899 :rule trans :premises (@p7898 @p7897)) % 1.12/1.37 (step @p7900 :rule cong :premises (@p7899) :args (@t86)) % 1.12/1.37 (step @p7901 :rule trans :premises (@p7900 @p7891)) % 1.12/1.37 (step @p7902 :rule refl :args (@t39)) % 1.12/1.37 (step @p7903 :rule nary_cong :premises (@p7902 @p7901) :args (@t87)) % 1.12/1.37 (step @p7904 :rule cong :premises (@p7903) :args (@t88)) % 1.12/1.37 (step @p7905 :rule trans :premises (@p7904 @p7890)) % 1.12/1.37 (step @p7906 :rule cong :premises (@p6869 @p7905) :args (@t90)) % 1.12/1.37 (step @p7907 :rule cong :premises (@p7906) :args (@t91)) % 1.12/1.37 (step @p7908 :rule trans :premises (@p7907 @p7881)) % 1.12/1.37 (step @p7909 :rule refl :args (tptp.foundationAx)) % 1.12/1.37 (step @p7910 :rule cong :premises (@p7909 @p7908) :args (@t92)) % 1.12/1.37 (step @p7911 :rule eq_resolve :premises (@p10 @p7910)) % 1.12/1.37 (step @p7912 :rule cong :premises (@p7911 @p7867) :args (@t4165)) % 1.12/1.37 (step @p7913 :rule bool-impl-elim :args (@t2168 @t2160)) % 1.12/1.37 (step @p7914 :rule cong :premises (@p7913) :args ((forall @t81 (=> @t2168 @t2160)))) % 1.12/1.37 (step @p7915 :rule exists-elim :args ((= (exists @t41 @t2159) @t2160))) % 1.12/1.37 (step @p7916 :rule refl :args (@t2158)) % 1.12/1.37 (step @p7917 :rule cong :premises (@p4655 @p7916) :args (@t4166)) % 1.12/1.37 (step @p7918 :rule cong :premises (@p7917) :args ((forall @t9 @t4166))) % 1.12/1.37 (step @p7919 :rule refl :args (@t2157)) % 1.12/1.37 (step @p7920 :rule refl :args (@t68)) % 1.12/1.37 (step @p7921 :rule cong :premises (@p7920 @p7919) :args ((= @t68 @t2157))) % 1.12/1.37 (step @p7922 :rule symm :premises (@p7921)) % 1.12/1.37 (step @p7923 :rule eq_resolve :premises (@p7920 @p7922)) % 1.12/1.37 (step @p7924 :rule cong :premises (@p7923) :args (@t4167)) % 1.12/1.37 (step @p7925 :rule nary_cong :premises (@p805 @p7924) :args (@t4168)) % 1.12/1.37 (step @p7926 :rule cong :premises (@p7925) :args ((forall @t70 @t4168))) % 1.12/1.37 (step @p7927 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 1.12/1.37 (step @p7928 :rule cong :premises (@p7927) :args (@t4169)) % 1.12/1.37 (step @p7929 :rule trans :premises (@p7928 @p7926)) % 1.12/1.37 (step @p7930 :rule cong :premises (@p7929) :args (@t4170)) % 1.12/1.37 (step @p7931 :rule exists-elim :args ((= @t71 @t4170))) % 1.12/1.37 (step @p7932 :rule trans :premises (@p7931 @p7930)) % 1.12/1.37 (step @p7933 :rule refl :args (@t6)) % 1.12/1.37 (step @p7934 :rule cong :premises (@p7933 @p7932) :args (@t72)) % 1.12/1.37 (step @p7935 :rule cong :premises (@p7934) :args (@t73)) % 1.12/1.37 (step @p7936 :rule trans :premises (@p7935 @p7918)) % 1.12/1.37 (step @p7937 :rule cong :premises (@p7936) :args (@t74)) % 1.12/1.37 (step @p7938 :rule trans :premises (@p7937 @p7915)) % 1.12/1.37 (step @p7939 :rule refl :args (@t2167)) % 1.12/1.37 (step @p7940 :rule nary_cong :premises (@p758 @p7939) :args (@t4171)) % 1.12/1.37 (step @p7941 :rule cong :premises (@p7940) :args ((forall @t9 @t4171))) % 1.12/1.37 (step @p7942 :rule bool-impl-elim :args (@t7 @t2167)) % 1.12/1.37 (step @p7943 :rule cong :premises (@p7942) :args ((forall @t9 (=> @t7 @t2167)))) % 1.12/1.37 (step @p7944 :rule trans :premises (@p7943 @p7941)) % 1.12/1.37 (step @p7945 :rule refl :args (@t2164)) % 1.12/1.37 (step @p7946 :rule refl :args (@t2165)) % 1.12/1.37 (step @p7947 :rule refl :args (@t4172)) % 1.12/1.37 (step @p7948 :rule cong :premises (@p7947 @p7946) :args ((= @t4172 @t2165))) % 1.12/1.37 (step @p7949 :rule symm :premises (@p7948)) % 1.12/1.37 (step @p7950 :rule eq_resolve :premises (@p7947 @p7949)) % 1.12/1.37 (step @p7951 :rule cong :premises (@p7950) :args (@t4173)) % 1.12/1.37 (step @p7952 :rule nary_cong :premises (@p7951 @p7945) :args (@t4174)) % 1.12/1.37 (step @p7953 :rule cong :premises (@p7952) :args ((forall @t2166 @t4174))) % 1.12/1.37 (step @p7954 :rule refl :args (@t2162)) % 1.12/1.37 (step @p7955 :rule nary_cong :premises (@p3154 @p7954) :args (@t4175)) % 1.12/1.37 (step @p7956 :rule cong :premises (@p7955) :args ((forall @t70 @t4175))) % 1.12/1.37 (step @p7957 :rule refl :args (@t2162)) % 1.12/1.37 (step @p7958 :rule beta-reduce :args ((= @t4176 @t76))) % 1.12/1.37 (step @p7959 :rule cong :premises (@p7958) :args (@t4177)) % 1.12/1.37 (step @p7960 :rule nary_cong :premises (@p7959 @p7957) :args (@t4178)) % 1.12/1.37 (step @p7961 :rule cong :premises (@p7960) :args (@t4179)) % 1.12/1.37 (step @p7962 :rule trans :premises (@p7961 @p7956)) % 1.12/1.37 (step @p7963 :rule cong :premises (@p7962) :args (@t4180)) % 1.12/1.37 (step @p7964 :rule beta-reduce :args ((= @t4181 @t4172))) % 1.12/1.37 (step @p7965 :rule cong :premises (@p7964) :args (@t4182)) % 1.12/1.37 (step @p7966 :rule nary_cong :premises (@p7965 @p7963) :args (@t4183)) % 1.12/1.37 (step @p7967 :rule cong :premises (@p7966) :args (@t4184)) % 1.12/1.37 (step @p7968 :rule trans :premises (@p7967 @p7953)) % 1.12/1.37 (step @p7969 :rule cong :premises (@p7968) :args (@t4185)) % 1.12/1.37 (step @p7970 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t2166 (or @t4186 (not (forall @t70 (or @t1717 @t2162))))))) @t77) @t4185))) % 1.12/1.37 (step @p7971 :rule trans :premises (@p7970 @p7969)) % 1.12/1.37 (step @p7972 :rule refl :args (@t77)) % 1.12/1.37 (step @p7973 :rule eq-symm :args (@t2161 @t19)) % 1.12/1.37 (step @p7974 :rule nary_cong :premises (@p5891 @p7973) :args (@t4187)) % 1.12/1.37 (step @p7975 :rule cong :premises (@p7974) :args (@t4188)) % 1.12/1.37 (step @p7976 :rule cong :premises (@p7975) :args (@t4189)) % 1.12/1.37 (step @p7977 :rule refl :args (@t4186)) % 1.12/1.37 (step @p7978 :rule nary_cong :premises (@p7977 @p7976) :args (@t4190)) % 1.12/1.37 (step @p7979 :rule cong :premises (@p7978) :args (@t4191)) % 1.12/1.37 (step @p7980 :rule cong :premises (@p7979) :args (@t4192)) % 1.12/1.37 (step @p7981 :rule cong :premises (@p7980) :args ((lambda @t150 @t4192))) % 1.12/1.37 (step @p7982 :rule ho_cong :premises (@p7981 @p7972)) % 1.12/1.37 (step @p7983 :rule trans :premises (@p7982 @p7971)) % 1.12/1.37 (step @p7984 :rule refl :args (@t77)) % 1.12/1.37 (step @p7985 :rule alpha_equiv :args (@t1953 @t2487 (@list @t2161))) % 1.12/1.37 (step @p7986 :rule cong :premises (@p7985) :args (@t1954)) % 1.12/1.37 (step @p7987 :rule cong :premises (@p7986) :args (@t3673)) % 1.12/1.37 (step @p7988 :rule ho_cong :premises (@p7987 @p7984)) % 1.12/1.37 (step @p7989 :rule trans :premises (@p7988 @p7983)) % 1.12/1.37 (step @p7990 :rule cong :premises (@p811 @p7989) :args (@t4193)) % 1.12/1.37 (step @p7991 :rule cong :premises (@p7990) :args (@t4194)) % 1.12/1.37 (step @p7992 :rule trans :premises (@p7991 @p7944)) % 1.12/1.37 (step @p7993 :rule cong :premises (@p7992 @p7938) :args (@t4195)) % 1.12/1.37 (step @p7994 :rule cong :premises (@p7993) :args (@t4196)) % 1.12/1.37 (step @p7995 :rule trans :premises (@p7994 @p7914)) % 1.12/1.37 (step @p7996 :rule refl :args (tptp.replAx)) % 1.12/1.37 (step @p7997 :rule cong :premises (@p7996 @p7995) :args ((= tptp.replAx @t4196))) % 1.12/1.37 (step @p7998 :rule refl :args (@t74)) % 1.12/1.37 (step @p7999 :rule ho_cong :premises (@p6051 @p7972)) % 1.12/1.37 (step @p8000 :rule cong :premises (@p811 @p7999) :args (@t78)) % 1.12/1.37 (step @p8001 :rule cong :premises (@p8000) :args (@t79)) % 1.12/1.37 (step @p8002 :rule cong :premises (@p8001 @p7998) :args (@t80)) % 1.12/1.37 (step @p8003 :rule cong :premises (@p8002) :args (@t82)) % 1.12/1.37 (step @p8004 :rule cong :premises (@p7996 @p8003) :args (@t83)) % 1.12/1.37 (step @p8005 :rule trans :premises (@p8004 @p7997)) % 1.12/1.37 (step @p8006 :rule eq_resolve :premises (@p9 @p8005)) % 1.12/1.37 (step @p8007 :rule cong :premises (@p8006 @p7912) :args (@t4197)) % 1.12/1.37 (step @p8008 :rule aci_norm :args ((= @t4199 @t2182))) % 1.12/1.37 (step @p8009 :rule cong :premises (@p8008) :args (@t4200)) % 1.12/1.37 (step @p8010 :rule quant-merge-prenex :args ((= (forall @t64 @t4202) @t4200))) % 1.12/1.37 (step @p8011 :rule alpha_equiv :args (@t4203 (@list @t2171) @t2487)) % 1.12/1.37 (step @p8012 :rule refl :args (@t2179)) % 1.12/1.37 (step @p8013 :rule refl :args (@t2181)) % 1.12/1.37 (step @p8014 :rule nary_cong :premises (@p8013 @p8012 @p8011) :args (@t4204)) % 1.12/1.37 (step @p8015 :rule quant-miniscope-or :args ((= @t4202 @t4204))) % 1.12/1.37 (step @p8016 :rule trans :premises (@p8015 @p8014)) % 1.12/1.37 (step @p8017 :rule symm :premises (@p8016)) % 1.12/1.37 (step @p8018 :rule cong :premises (@p8017) :args ((forall @t64 (or @t2181 @t2179 @t4205)))) % 1.12/1.37 (step @p8019 :rule trans :premises (@p8018 @p8010)) % 1.12/1.37 (step @p8020 :rule trans :premises (@p8019 @p8009)) % 1.12/1.37 (step @p8021 :rule refl :args (@t4205)) % 1.12/1.37 (step @p8022 :rule refl :args (@t2180)) % 1.12/1.37 (step @p8023 :rule refl :args (@t61)) % 1.12/1.37 (step @p8024 :rule cong :premises (@p8023 @p8022) :args ((= @t61 @t2180))) % 1.12/1.37 (step @p8025 :rule symm :premises (@p8024)) % 1.12/1.37 (step @p8026 :rule eq_resolve :premises (@p8023 @p8025)) % 1.12/1.37 (step @p8027 :rule cong :premises (@p8026) :args (@t4206)) % 1.12/1.37 (step @p8028 :rule nary_cong :premises (@p8027 @p8012 @p8021) :args (@t4207)) % 1.12/1.37 (step @p8029 :rule cong :premises (@p8028) :args ((forall @t64 @t4207))) % 1.12/1.37 (step @p8030 :rule trans :premises (@p8029 @p8020)) % 1.12/1.37 (step @p8031 :rule aci_norm :args ((= (or (or @t4206 @t2179) @t4205) @t4207))) % 1.12/1.37 (step @p8032 :rule bool-and-de-morgan :args (@t61 @t2178 true)) % 1.12/1.37 (step @p8033 :rule nary_cong :premises (@p8032 @p8021) :args ((or (not @t4208) @t4205))) % 1.12/1.37 (step @p8034 :rule trans :premises (@p8033 @p8031)) % 1.12/1.37 (step @p8035 :rule bool-impl-elim :args (@t4208 @t4205)) % 1.12/1.37 (step @p8036 :rule trans :premises (@p8035 @p8034)) % 1.12/1.37 (step @p8037 :rule cong :premises (@p8036) :args ((forall @t64 (=> @t4208 @t4205)))) % 1.12/1.37 (step @p8038 :rule trans :premises (@p8037 @p8030)) % 1.12/1.37 (step @p8039 :rule refl :args (@t2176)) % 1.12/1.37 (step @p8040 :rule refl :args (@t54)) % 1.12/1.37 (step @p8041 :rule cong :premises (@p8040 @p8039) :args ((= @t54 @t2176))) % 1.12/1.37 (step @p8042 :rule symm :premises (@p8041)) % 1.12/1.37 (step @p8043 :rule eq_resolve :premises (@p8040 @p8042)) % 1.12/1.37 (step @p8044 :rule cong :premises (@p8043) :args (@t4209)) % 1.12/1.37 (step @p8045 :rule nary_cong :premises (@p8044 @p757) :args (@t4210)) % 1.12/1.37 (step @p8046 :rule cong :premises (@p8045) :args ((forall @t9 @t4210))) % 1.12/1.37 (step @p8047 :rule bool-impl-elim :args (@t54 @t7)) % 1.12/1.37 (step @p8048 :rule cong :premises (@p8047) :args (@t57)) % 1.12/1.37 (step @p8049 :rule trans :premises (@p8048 @p8046)) % 1.12/1.37 (step @p8050 :rule refl :args ((tptp.in @t51 @t2))) % 1.12/1.37 (step @p8051 :rule refl :args (@t2174)) % 1.12/1.37 (step @p8052 :rule cong :premises (@p8051 @p1055) :args (@t2175)) % 1.12/1.37 (step @p8053 :rule trans :premises (@p8052 @p8050)) % 1.12/1.37 (step @p8054 :rule ho_cong :premises (@p774 @p8051)) % 1.12/1.37 (step @p8055 :rule ho_cong :premises (@p8054 @p1055)) % 1.12/1.37 (step @p8056 :rule cong :premises (@p8055 @p8053) :args ((= (_ @t4211 @t2) @t2175))) % 1.12/1.37 (step @p8057 :rule symm :premises (@p8056)) % 1.12/1.37 (step @p8058 :rule refl :args (@t58)) % 1.12/1.37 (step @p8059 :rule eq_resolve :premises (@p8058 @p8057)) % 1.12/1.37 (step @p8060 :rule refl :args (@t51)) % 1.12/1.37 (step @p8061 :rule cong :premises (@p8060 @p8051) :args ((= @t51 @t2174))) % 1.12/1.37 (step @p8062 :rule symm :premises (@p8061)) % 1.12/1.37 (step @p8063 :rule eq_resolve :premises (@p8060 @p8062)) % 1.12/1.37 (step @p8064 :rule ho_cong :premises (@p774 @p8063)) % 1.12/1.37 (step @p8065 :rule ho_cong :premises (@p8064 @p1055)) % 1.12/1.37 (step @p8066 :rule trans :premises (@p8065 @p8059)) % 1.12/1.37 (step @p8067 :rule nary_cong :premises (@p8044 @p758 @p8066) :args (@t4212)) % 1.12/1.37 (step @p8068 :rule cong :premises (@p8067) :args ((forall @t9 @t4212))) % 1.12/1.37 (step @p8069 :rule aci_norm :args ((= (or (or @t4209 @t197) @t58) @t4212))) % 1.12/1.37 (step @p8070 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 1.12/1.37 (step @p8071 :rule nary_cong :premises (@p8070 @p8058) :args ((or (not @t59) @t58))) % 1.12/1.37 (step @p8072 :rule trans :premises (@p8071 @p8069)) % 1.12/1.37 (step @p8073 :rule bool-impl-elim :args (@t59 @t58)) % 1.12/1.37 (step @p8074 :rule trans :premises (@p8073 @p8072)) % 1.12/1.37 (step @p8075 :rule cong :premises (@p8074) :args (@t60)) % 1.12/1.37 (step @p8076 :rule trans :premises (@p8075 @p8068)) % 1.12/1.37 (step @p8077 :rule refl :args (@t61)) % 1.12/1.37 (step @p8078 :rule nary_cong :premises (@p8077 @p8076) :args (@t62)) % 1.12/1.37 (step @p8079 :rule cong :premises (@p8078 @p8049) :args (@t63)) % 1.12/1.37 (step @p8080 :rule cong :premises (@p8079) :args (@t65)) % 1.12/1.37 (step @p8081 :rule trans :premises (@p8080 @p8038)) % 1.12/1.37 (step @p8082 :rule refl :args (tptp.omegaIndAx)) % 1.12/1.37 (step @p8083 :rule cong :premises (@p8082 @p8081) :args (@t66)) % 1.12/1.37 (step @p8084 :rule eq_resolve :premises (@p8 @p8083)) % 1.12/1.37 (step @p8085 :rule cong :premises (@p8084 @p8007) :args (@t4213)) % 1.12/1.37 (step @p8086 :rule refl :args ((tptp.in @t51 tptp.omega))) % 1.12/1.37 (step @p8087 :rule refl :args (tptp.omega)) % 1.12/1.37 (step @p8088 :rule cong :premises (@p8051 @p8087) :args (@t2186)) % 1.12/1.37 (step @p8089 :rule trans :premises (@p8088 @p8086)) % 1.12/1.37 (step @p8090 :rule ho_cong :premises (@p8054 @p8087)) % 1.12/1.37 (step @p8091 :rule cong :premises (@p8090 @p8089) :args ((= (_ @t4211 tptp.omega) @t2186))) % 1.12/1.37 (step @p8092 :rule symm :premises (@p8091)) % 1.12/1.37 (step @p8093 :rule refl :args (@t53)) % 1.12/1.37 (step @p8094 :rule eq_resolve :premises (@p8093 @p8092)) % 1.12/1.37 (step @p8095 :rule ho_cong :premises (@p8064 @p8087)) % 1.12/1.37 (step @p8096 :rule trans :premises (@p8095 @p8094)) % 1.12/1.37 (step @p8097 :rule nary_cong :premises (@p8044 @p8096) :args (@t4214)) % 1.12/1.37 (step @p8098 :rule cong :premises (@p8097) :args ((forall @t9 @t4214))) % 1.12/1.37 (step @p8099 :rule bool-impl-elim :args (@t54 @t53)) % 1.12/1.37 (step @p8100 :rule cong :premises (@p8099) :args (@t55)) % 1.12/1.37 (step @p8101 :rule trans :premises (@p8100 @p8098)) % 1.12/1.37 (step @p8102 :rule refl :args (tptp.omegaSAx)) % 1.12/1.37 (step @p8103 :rule cong :premises (@p8102 @p8101) :args (@t56)) % 1.12/1.37 (step @p8104 :rule eq_resolve :premises (@p7 @p8103)) % 1.12/1.37 (step @p8105 :rule cong :premises (@p8104 @p8085) :args (@t4215)) % 1.12/1.37 (step @p8106 :rule cong :premises (@p6 @p8105) :args (@t4216)) % 1.12/1.37 (step @p8107 :rule eq-symm :args (@t1739 @t2020)) % 1.12/1.37 (step @p8108 :rule cong :premises (@p8107) :args ((forall @t46 (= @t1739 @t2020)))) % 1.12/1.37 (step @p8109 :rule cong :premises (@p4096 @p6952) :args (@t4217)) % 1.12/1.37 (step @p8110 :rule cong :premises (@p8109) :args ((forall @t46 @t4217))) % 1.12/1.37 (step @p8111 :rule trans :premises (@p8110 @p8108)) % 1.12/1.37 (step @p8112 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 1.12/1.37 (step @p8113 :rule cong :premises (@p8112) :args (@t4218)) % 1.12/1.37 (step @p8114 :rule trans :premises (@p8113 @p6985)) % 1.12/1.37 (step @p8115 :rule cong :premises (@p8114) :args (@t4219)) % 1.12/1.37 (step @p8116 :rule exists-elim :args ((= @t42 @t4219))) % 1.12/1.37 (step @p8117 :rule trans :premises (@p8116 @p8115)) % 1.12/1.37 (step @p8118 :rule cong :premises (@p4117 @p8117) :args (@t45)) % 1.12/1.37 (step @p8119 :rule cong :premises (@p8118) :args (@t47)) % 1.12/1.37 (step @p8120 :rule trans :premises (@p8119 @p8111)) % 1.12/1.37 (step @p8121 :rule refl :args (tptp.setunionAx)) % 1.12/1.37 (step @p8122 :rule cong :premises (@p8121 @p8120) :args (@t48)) % 1.12/1.37 (step @p8123 :rule eq_resolve :premises (@p5 @p8122)) % 1.12/1.37 (step @p8124 :rule cong :premises (@p8123 @p8106) :args (@t4220)) % 1.12/1.37 (step @p8125 :rule eq-symm :args (@t1884 @t2031)) % 1.12/1.37 (step @p8126 :rule cong :premises (@p8125) :args ((forall @t12 (= @t1884 @t2031)))) % 1.12/1.37 (step @p8127 :rule refl :args (@t2031)) % 1.12/1.37 (step @p8128 :rule cong :premises (@p5418 @p8127) :args (@t4221)) % 1.12/1.37 (step @p8129 :rule cong :premises (@p8128) :args ((forall @t12 @t4221))) % 1.12/1.37 (step @p8130 :rule trans :premises (@p8129 @p8126)) % 1.12/1.37 (step @p8131 :rule cong :premises (@p7069 @p7073) :args (@t36)) % 1.12/1.37 (step @p8132 :rule cong :premises (@p8131) :args (@t37)) % 1.12/1.37 (step @p8133 :rule trans :premises (@p8132 @p8130)) % 1.12/1.37 (step @p8134 :rule refl :args (tptp.powersetAx)) % 1.12/1.37 (step @p8135 :rule cong :premises (@p8134 @p8133) :args (@t38)) % 1.12/1.37 (step @p8136 :rule eq_resolve :premises (@p4 @p8135)) % 1.12/1.37 (step @p8137 :rule cong :premises (@p8136 @p8124) :args (@t4222)) % 1.12/1.37 (step @p8138 :rule nary_cong :premises (@p2498 @p804) :args (@t3963)) % 1.12/1.37 (step @p8139 :rule cong :premises (@p7114 @p8138) :args (@t4223)) % 1.12/1.37 (step @p8140 :rule cong :premises (@p8139) :args ((forall @t28 @t4223))) % 1.12/1.37 (step @p8141 :rule cong :premises (@p7124 @p7123) :args (@t27)) % 1.12/1.37 (step @p8142 :rule cong :premises (@p8141) :args (@t29)) % 1.12/1.37 (step @p8143 :rule trans :premises (@p8142 @p8140)) % 1.12/1.37 (step @p8144 :rule refl :args (tptp.setadjoinAx)) % 1.12/1.37 (step @p8145 :rule cong :premises (@p8144 @p8143) :args (@t30)) % 1.12/1.37 (step @p8146 :rule eq_resolve :premises (@p3 @p8145)) % 1.12/1.37 (step @p8147 :rule cong :premises (@p8146 @p8137) :args (@t4224)) % 1.12/1.37 (step @p8148 :rule refl :args (tptp.emptysetAx)) % 1.12/1.37 (step @p8149 :rule cong :premises (@p8148 @p7424) :args (@t18)) % 1.12/1.37 (step @p8150 :rule eq_resolve :premises (@p2 @p8149)) % 1.12/1.37 (step @p8151 :rule cong :premises (@p8150 @p8147) :args (@t4225)) % 1.12/1.37 (step @p8152 :rule bool-impl-elim :args (@t2199 @t3)) % 1.12/1.37 (step @p8153 :rule cong :premises (@p8152) :args ((forall @t12 (=> @t2199 @t3)))) % 1.12/1.37 (step @p8154 :rule cong :premises (@p757 @p4655) :args (@t8)) % 1.12/1.37 (step @p8155 :rule cong :premises (@p8154) :args (@t10)) % 1.12/1.37 (step @p8156 :rule cong :premises (@p8155 @p5876) :args (@t11)) % 1.12/1.37 (step @p8157 :rule cong :premises (@p8156) :args (@t13)) % 1.12/1.37 (step @p8158 :rule trans :premises (@p8157 @p8153)) % 1.12/1.37 (step @p8159 :rule refl :args (tptp.setextAx)) % 1.12/1.37 (step @p8160 :rule cong :premises (@p8159 @p8158) :args (@t14)) % 1.12/1.37 (step @p8161 :rule eq_resolve :premises (@p1 @p8160)) % 1.12/1.37 (step @p8162 :rule cong :premises (@p8161 @p8151) :args (@t4226)) % 1.12/1.37 (step @p8163 :rule cong :premises (@p8162) :args ((not @t4226))) % 1.12/1.37 (step @p8164 :rule trans :premises (@p8163 @p738)) % 1.12/1.37 (step @p8165 :rule aci_norm :args ((= @t4228 @t1377))) % 1.12/1.37 (step @p8166 :rule cong :premises (@p8165) :args (@t4229)) % 1.12/1.37 (step @p8167 :rule quant-merge-prenex :args ((= (forall @t1137 @t4231) @t4229))) % 1.12/1.37 (step @p8168 :rule alpha_equiv :args (@t4232 (@list @t1372) (@list @t1128))) % 1.12/1.37 (step @p8169 :rule refl :args (@t1376)) % 1.12/1.37 (step @p8170 :rule nary_cong :premises (@p8169 @p8168) :args (@t4233)) % 1.12/1.37 (step @p8171 :rule quant-miniscope-or :args ((= @t4231 @t4233))) % 1.12/1.37 (step @p8172 :rule trans :premises (@p8171 @p8170)) % 1.12/1.37 (step @p8173 :rule symm :premises (@p8172)) % 1.12/1.37 (step @p8174 :rule cong :premises (@p8173) :args ((forall @t1137 (or @t1376 @t4237)))) % 1.12/1.37 (step @p8175 :rule trans :premises (@p8174 @p8167)) % 1.12/1.37 (step @p8176 :rule trans :premises (@p8175 @p8166)) % 1.12/1.37 (step @p8177 :rule refl :args (@t4237)) % 1.12/1.37 (step @p8178 :rule refl :args ((tptp.in @t694 @t33))) % 1.12/1.37 (step @p8179 :rule cong :premises (@p3728 @p4501) :args (@t1375)) % 1.12/1.37 (step @p8180 :rule trans :premises (@p8179 @p8178)) % 1.12/1.37 (step @p8181 :rule refl :args (@t696)) % 1.12/1.37 (step @p8182 :rule ho_cong :premises (@p8181 @p4501)) % 1.12/1.37 (step @p8183 :rule cong :premises (@p8182 @p8180) :args ((= (_ @t696 @t1371) @t1375))) % 1.12/1.37 (step @p8184 :rule symm :premises (@p8183)) % 1.12/1.37 (step @p8185 :rule refl :args (@t1135)) % 1.12/1.37 (step @p8186 :rule eq_resolve :premises (@p8185 @p8184)) % 1.12/1.37 (step @p8187 :rule ho_cong :premises (@p8181 @p4512)) % 1.12/1.37 (step @p8188 :rule trans :premises (@p8187 @p8186)) % 1.12/1.37 (step @p8189 :rule cong :premises (@p8188) :args (@t4238)) % 1.12/1.37 (step @p8190 :rule nary_cong :premises (@p8189 @p8177) :args (@t4239)) % 1.12/1.37 (step @p8191 :rule cong :premises (@p8190) :args ((forall @t1137 @t4239))) % 1.12/1.37 (step @p8192 :rule trans :premises (@p8191 @p8176)) % 1.12/1.37 (step @p8193 :rule bool-impl-elim :args (@t1135 @t4237)) % 1.12/1.37 (step @p8194 :rule cong :premises (@p8193) :args ((forall @t1137 (=> @t1135 @t4237)))) % 1.12/1.37 (step @p8195 :rule trans :premises (@p8194 @p8192)) % 1.12/1.37 (step @p8196 :rule refl :args ((tptp.in @t1129 @t33))) % 1.12/1.37 (step @p8197 :rule refl :args (@t4234)) % 1.12/1.37 (step @p8198 :rule cong :premises (@p8197 @p4501) :args (@t4235)) % 1.12/1.37 (step @p8199 :rule trans :premises (@p8198 @p8196)) % 1.12/1.37 (step @p8200 :rule ho_cong :premises (@p774 @p8197)) % 1.12/1.37 (step @p8201 :rule ho_cong :premises (@p8200 @p4501)) % 1.12/1.37 (step @p8202 :rule cong :premises (@p8201 @p8199) :args ((= (_ (_ tptp.in @t4234) @t1371) @t4235))) % 1.12/1.37 (step @p8203 :rule symm :premises (@p8202)) % 1.12/1.37 (step @p8204 :rule refl :args (@t1130)) % 1.12/1.37 (step @p8205 :rule eq_resolve :premises (@p8204 @p8203)) % 1.12/1.37 (step @p8206 :rule refl :args (@t1129)) % 1.12/1.37 (step @p8207 :rule cong :premises (@p8206 @p8197) :args ((= @t1129 @t4234))) % 1.12/1.37 (step @p8208 :rule symm :premises (@p8207)) % 1.12/1.37 (step @p8209 :rule eq_resolve :premises (@p8206 @p8208)) % 1.12/1.37 (step @p8210 :rule ho_cong :premises (@p774 @p8209)) % 1.12/1.37 (step @p8211 :rule ho_cong :premises (@p8210 @p4512)) % 1.12/1.37 (step @p8212 :rule trans :premises (@p8211 @p8205)) % 1.12/1.37 (step @p8213 :rule refl :args ((tptp.in @t1128 @t33))) % 1.12/1.37 (step @p8214 :rule refl :args (@t1128)) % 1.12/1.37 (step @p8215 :rule cong :premises (@p8214 @p4501) :args (@t4236)) % 1.12/1.37 (step @p8216 :rule trans :premises (@p8215 @p8213)) % 1.12/1.37 (step @p8217 :rule refl :args (@t1131)) % 1.12/1.37 (step @p8218 :rule ho_cong :premises (@p8217 @p4501)) % 1.12/1.37 (step @p8219 :rule cong :premises (@p8218 @p8216) :args ((= (_ @t1131 @t1371) @t4236))) % 1.12/1.37 (step @p8220 :rule symm :premises (@p8219)) % 1.12/1.37 (step @p8221 :rule refl :args (@t1132)) % 1.12/1.37 (step @p8222 :rule eq_resolve :premises (@p8221 @p8220)) % 1.12/1.37 (step @p8223 :rule ho_cong :premises (@p8217 @p4512)) % 1.12/1.37 (step @p8224 :rule trans :premises (@p8223 @p8222)) % 1.12/1.37 (step @p8225 :rule cong :premises (@p8224) :args (@t4240)) % 1.12/1.37 (step @p8226 :rule nary_cong :premises (@p8225 @p8212) :args (@t4241)) % 1.12/1.37 (step @p8227 :rule cong :premises (@p8226) :args ((forall @t1133 @t4241))) % 1.12/1.37 (step @p8228 :rule bool-impl-elim :args (@t1132 @t1130)) % 1.12/1.37 (step @p8229 :rule cong :premises (@p8228) :args (@t1134)) % 1.12/1.37 (step @p8230 :rule trans :premises (@p8229 @p8227)) % 1.12/1.37 (step @p8231 :rule refl :args (@t1135)) % 1.12/1.37 (step @p8232 :rule cong :premises (@p8231 @p8230) :args (@t1136)) % 1.12/1.37 (step @p8233 :rule cong :premises (@p8232) :args (@t1138)) % 1.12/1.37 (step @p8234 :rule trans :premises (@p8233 @p8195)) % 1.12/1.37 (step @p8235 :rule cong :premises (@p815 @p8234) :args (@t1139)) % 1.12/1.37 (step @p8236 :rule cong :premises (@p896 @p8235) :args (@t1140)) % 1.12/1.37 (step @p8237 :rule cong :premises (@p972 @p8236) :args (@t1141)) % 1.12/1.37 (step @p8238 :rule cong :premises (@p1032 @p8237) :args (@t1142)) % 1.12/1.37 (step @p8239 :rule cong :premises (@p1073 @p8238) :args (@t1143)) % 1.12/1.37 (step @p8240 :rule cong :premises (@p1143 @p8239) :args (@t1144)) % 1.12/1.37 (step @p8241 :rule cong :premises (@p1240 @p8240) :args (@t1145)) % 1.12/1.37 (step @p8242 :rule cong :premises (@p1338 @p8241) :args (@t1146)) % 1.12/1.37 (step @p8243 :rule cong :premises (@p1434 @p8242) :args (@t1147)) % 1.12/1.37 (step @p8244 :rule cong :premises (@p1535 @p8243) :args (@t1148)) % 1.12/1.37 (step @p8245 :rule cong :premises (@p1587 @p8244) :args (@t1149)) % 1.12/1.37 (step @p8246 :rule cong :premises (@p1592 @p8245) :args (@t1150)) % 1.12/1.37 (step @p8247 :rule cong :premises (@p1697 @p8246) :args (@t1151)) % 1.12/1.37 (step @p8248 :rule cong :premises (@p1718 @p8247) :args (@t1152)) % 1.12/1.37 (step @p8249 :rule cong :premises (@p1722 @p8248) :args (@t1153)) % 1.12/1.37 (step @p8250 :rule cong :premises (@p1741 @p8249) :args (@t1154)) % 1.12/1.37 (step @p8251 :rule cong :premises (@p1754 @p8250) :args (@t1155)) % 1.12/1.37 (step @p8252 :rule cong :premises (@p1825 @p8251) :args (@t1156)) % 1.12/1.37 (step @p8253 :rule cong :premises (@p1871 @p8252) :args (@t1157)) % 1.12/1.37 (step @p8254 :rule cong :premises (@p2063 @p8253) :args (@t1158)) % 1.12/1.37 (step @p8255 :rule cong :premises (@p2119 @p8254) :args (@t1159)) % 1.12/1.37 (step @p8256 :rule cong :premises (@p2213 @p8255) :args (@t1160)) % 1.12/1.37 (step @p8257 :rule cong :premises (@p2308 @p8256) :args (@t1161)) % 1.12/1.37 (step @p8258 :rule cong :premises (@p2339 @p8257) :args (@t1162)) % 1.12/1.37 (step @p8259 :rule cong :premises (@p2392 @p8258) :args (@t1163)) % 1.12/1.37 (step @p8260 :rule cong :premises (@p2416 @p8259) :args (@t1164)) % 1.12/1.37 (step @p8261 :rule cong :premises (@p2544 @p8260) :args (@t1165)) % 1.12/1.37 (step @p8262 :rule cong :premises (@p2647 @p8261) :args (@t1166)) % 1.12/1.37 (step @p8263 :rule cong :premises (@p2656 @p8262) :args (@t1167)) % 1.12/1.37 (step @p8264 :rule cong :premises (@p2703 @p8263) :args (@t1168)) % 1.12/1.37 (step @p8265 :rule cong :premises (@p2731 @p8264) :args (@t1169)) % 1.12/1.37 (step @p8266 :rule cong :premises (@p2774 @p8265) :args (@t1170)) % 1.12/1.37 (step @p8267 :rule cong :premises (@p2783 @p8266) :args (@t1171)) % 1.12/1.37 (step @p8268 :rule cong :premises (@p2825 @p8267) :args (@t1172)) % 1.12/1.37 (step @p8269 :rule cong :premises (@p2834 @p8268) :args (@t1173)) % 1.12/1.37 (step @p8270 :rule cong :premises (@p2858 @p8269) :args (@t1174)) % 1.12/1.37 (step @p8271 :rule cong :premises (@p2924 @p8270) :args (@t1175)) % 1.12/1.37 (step @p8272 :rule cong :premises (@p2964 @p8271) :args (@t1176)) % 1.12/1.37 (step @p8273 :rule cong :premises (@p3015 @p8272) :args (@t1177)) % 1.12/1.37 (step @p8274 :rule cong :premises (@p3028 @p8273) :args (@t1178)) % 1.12/1.37 (step @p8275 :rule cong :premises (@p3041 @p8274) :args (@t1179)) % 1.12/1.37 (step @p8276 :rule cong :premises (@p3079 @p8275) :args (@t1180)) % 1.12/1.37 (step @p8277 :rule cong :premises (@p3121 @p8276) :args (@t1181)) % 1.12/1.37 (step @p8278 :rule cong :premises (@p3129 @p8277) :args (@t1182)) % 1.12/1.37 (step @p8279 :rule cong :premises (@p3169 @p8278) :args (@t1183)) % 1.12/1.37 (step @p8280 :rule cong :premises (@p3220 @p8279) :args (@t1184)) % 1.12/1.37 (step @p8281 :rule cong :premises (@p3266 @p8280) :args (@t1185)) % 1.12/1.37 (step @p8282 :rule cong :premises (@p3312 @p8281) :args (@t1186)) % 1.12/1.37 (step @p8283 :rule cong :premises (@p3330 @p8282) :args (@t1187)) % 1.12/1.37 (step @p8284 :rule cong :premises (@p3352 @p8283) :args (@t1188)) % 1.12/1.37 (step @p8285 :rule cong :premises (@p3361 @p8284) :args (@t1189)) % 1.12/1.37 (step @p8286 :rule cong :premises (@p3382 @p8285) :args (@t1190)) % 1.12/1.37 (step @p8287 :rule cong :premises (@p3401 @p8286) :args (@t1191)) % 1.12/1.37 (step @p8288 :rule cong :premises (@p3408 @p8287) :args (@t1192)) % 1.12/1.37 (step @p8289 :rule cong :premises (@p3459 @p8288) :args (@t1193)) % 1.12/1.37 (step @p8290 :rule cong :premises (@p3476 @p8289) :args (@t1194)) % 1.12/1.37 (step @p8291 :rule cong :premises (@p3558 @p8290) :args (@t1195)) % 1.12/1.37 (step @p8292 :rule cong :premises (@p3569 @p8291) :args (@t1196)) % 1.12/1.37 (step @p8293 :rule cong :premises (@p3605 @p8292) :args (@t1197)) % 1.12/1.37 (step @p8294 :rule cong :premises (@p3645 @p8293) :args (@t1198)) % 1.12/1.37 (step @p8295 :rule cong :premises (@p3676 @p8294) :args (@t1199)) % 1.12/1.37 (step @p8296 :rule cong :premises (@p3686 @p8295) :args (@t1200)) % 1.12/1.37 (step @p8297 :rule cong :premises (@p3695 @p8296) :args (@t1201)) % 1.12/1.37 (step @p8298 :rule cong :premises (@p3716 @p8297) :args (@t1202)) % 1.12/1.37 (step @p8299 :rule cong :premises (@p3723 @p8298) :args (@t1203)) % 1.12/1.37 (step @p8300 :rule cong :premises (@p3745 @p8299) :args (@t1204)) % 1.12/1.37 (step @p8301 :rule cong :premises (@p3788 @p8300) :args (@t1205)) % 1.12/1.37 (step @p8302 :rule cong :premises (@p3810 @p8301) :args (@t1206)) % 1.12/1.37 (step @p8303 :rule cong :premises (@p3825 @p8302) :args (@t1207)) % 1.12/1.37 (step @p8304 :rule cong :premises (@p3874 @p8303) :args (@t1208)) % 1.12/1.37 (step @p8305 :rule cong :premises (@p3972 @p8304) :args (@t1209)) % 1.12/1.37 (step @p8306 :rule cong :premises (@p3997 @p8305) :args (@t1210)) % 1.12/1.37 (step @p8307 :rule cong :premises (@p4010 @p8306) :args (@t1211)) % 1.12/1.37 (step @p8308 :rule cong :premises (@p4029 @p8307) :args (@t1212)) % 1.12/1.37 (step @p8309 :rule cong :premises (@p4060 @p8308) :args (@t1213)) % 1.12/1.37 (step @p8310 :rule cong :premises (@p4077 @p8309) :args (@t1214)) % 1.12/1.37 (step @p8311 :rule cong :premises (@p4121 @p8310) :args (@t1215)) % 1.12/1.37 (step @p8312 :rule cong :premises (@p4130 @p8311) :args (@t1216)) % 1.12/1.37 (step @p8313 :rule cong :premises (@p4180 @p8312) :args (@t1217)) % 1.12/1.37 (step @p8314 :rule cong :premises (@p4210 @p8313) :args (@t1218)) % 1.12/1.37 (step @p8315 :rule cong :premises (@p4276 @p8314) :args (@t1219)) % 1.12/1.37 (step @p8316 :rule cong :premises (@p4318 @p8315) :args (@t1220)) % 1.12/1.37 (step @p8317 :rule cong :premises (@p4360 @p8316) :args (@t1221)) % 1.12/1.37 (step @p8318 :rule cong :premises (@p4402 @p8317) :args (@t1222)) % 1.12/1.37 (step @p8319 :rule cong :premises (@p4444 @p8318) :args (@t1223)) % 1.12/1.37 (step @p8320 :rule cong :premises (@p4449 @p8319) :args (@t1224)) % 1.12/1.37 (step @p8321 :rule cong :premises (@p4496 @p8320) :args (@t1225)) % 1.12/1.37 (step @p8322 :rule cong :premises (@p4520 @p8321) :args (@t1226)) % 1.12/1.37 (step @p8323 :rule cong :premises (@p4541 @p8322) :args (@t1227)) % 1.12/1.37 (step @p8324 :rule cong :premises (@p4557 @p8323) :args (@t1228)) % 1.12/1.37 (step @p8325 :rule cong :premises (@p4572 @p8324) :args (@t1229)) % 1.12/1.37 (step @p8326 :rule cong :premises (@p4597 @p8325) :args (@t1230)) % 1.12/1.37 (step @p8327 :rule cong :premises (@p4612 @p8326) :args (@t1231)) % 1.12/1.37 (step @p8328 :rule cong :premises (@p4617 @p8327) :args (@t1232)) % 1.12/1.37 (step @p8329 :rule cong :premises (@p4674 @p8328) :args (@t1233)) % 1.12/1.37 (step @p8330 :rule cong :premises (@p4689 @p8329) :args (@t1234)) % 1.12/1.37 (step @p8331 :rule cong :premises (@p4706 @p8330) :args (@t1235)) % 1.12/1.37 (step @p8332 :rule cong :premises (@p4722 @p8331) :args (@t1236)) % 1.12/1.37 (step @p8333 :rule cong :premises (@p4786 @p8332) :args (@t1237)) % 1.12/1.37 (step @p8334 :rule cong :premises (@p4812 @p8333) :args (@t1238)) % 1.12/1.37 (step @p8335 :rule cong :premises (@p4829 @p8334) :args (@t1239)) % 1.12/1.37 (step @p8336 :rule cong :premises (@p4849 @p8335) :args (@t1240)) % 1.12/1.37 (step @p8337 :rule cong :premises (@p4861 @p8336) :args (@t1241)) % 1.12/1.37 (step @p8338 :rule cong :premises (@p4881 @p8337) :args (@t1242)) % 1.12/1.37 (step @p8339 :rule cong :premises (@p4898 @p8338) :args (@t1243)) % 1.12/1.37 (step @p8340 :rule cong :premises (@p4911 @p8339) :args (@t1244)) % 1.12/1.37 (step @p8341 :rule cong :premises (@p4920 @p8340) :args (@t1245)) % 1.12/1.37 (step @p8342 :rule cong :premises (@p4929 @p8341) :args (@t1246)) % 1.12/1.37 (step @p8343 :rule cong :premises (@p4945 @p8342) :args (@t1247)) % 1.12/1.37 (step @p8344 :rule cong :premises (@p4990 @p8343) :args (@t1248)) % 1.12/1.37 (step @p8345 :rule cong :premises (@p5005 @p8344) :args (@t1249)) % 1.12/1.37 (step @p8346 :rule cong :premises (@p5026 @p8345) :args (@t1250)) % 1.12/1.37 (step @p8347 :rule cong :premises (@p5043 @p8346) :args (@t1251)) % 1.12/1.37 (step @p8348 :rule cong :premises (@p5069 @p8347) :args (@t1252)) % 1.12/1.37 (step @p8349 :rule cong :premises (@p5089 @p8348) :args (@t1253)) % 1.12/1.37 (step @p8350 :rule cong :premises (@p5102 @p8349) :args (@t1254)) % 1.12/1.37 (step @p8351 :rule cong :premises (@p5114 @p8350) :args (@t1255)) % 1.12/1.37 (step @p8352 :rule cong :premises (@p5129 @p8351) :args (@t1256)) % 1.12/1.37 (step @p8353 :rule cong :premises (@p5138 @p8352) :args (@t1257)) % 1.12/1.37 (step @p8354 :rule cong :premises (@p5177 @p8353) :args (@t1258)) % 1.12/1.37 (step @p8355 :rule cong :premises (@p5191 @p8354) :args (@t1259)) % 1.12/1.37 (step @p8356 :rule cong :premises (@p5207 @p8355) :args (@t1260)) % 1.12/1.37 (step @p8357 :rule cong :premises (@p5222 @p8356) :args (@t1261)) % 1.12/1.37 (step @p8358 :rule cong :premises (@p5244 @p8357) :args (@t1262)) % 1.12/1.37 (step @p8359 :rule cong :premises (@p5295 @p8358) :args (@t1263)) % 1.12/1.37 (step @p8360 :rule cong :premises (@p5304 @p8359) :args (@t1264)) % 1.12/1.37 (step @p8361 :rule cong :premises (@p5309 @p8360) :args (@t1265)) % 1.12/1.37 (step @p8362 :rule cong :premises (@p5321 @p8361) :args (@t1266)) % 1.12/1.37 (step @p8363 :rule cong :premises (@p5341 @p8362) :args (@t1267)) % 1.12/1.37 (step @p8364 :rule cong :premises (@p5362 @p8363) :args (@t1268)) % 1.12/1.37 (step @p8365 :rule cong :premises (@p5388 @p8364) :args (@t1269)) % 1.12/1.37 (step @p8366 :rule cong :premises (@p5404 @p8365) :args (@t1270)) % 1.12/1.37 (step @p8367 :rule cong :premises (@p5425 @p8366) :args (@t1271)) % 1.12/1.37 (step @p8368 :rule cong :premises (@p5434 @p8367) :args (@t1272)) % 1.12/1.37 (step @p8369 :rule cong :premises (@p5450 @p8368) :args (@t1273)) % 1.12/1.37 (step @p8370 :rule cong :premises (@p5466 @p8369) :args (@t1274)) % 1.12/1.37 (step @p8371 :rule cong :premises (@p5485 @p8370) :args (@t1275)) % 1.12/1.37 (step @p8372 :rule cong :premises (@p5509 @p8371) :args (@t1276)) % 1.12/1.37 (step @p8373 :rule cong :premises (@p5529 @p8372) :args (@t1277)) % 1.12/1.37 (step @p8374 :rule cong :premises (@p5554 @p8373) :args (@t1278)) % 1.12/1.37 (step @p8375 :rule cong :premises (@p5564 @p8374) :args (@t1279)) % 1.12/1.37 (step @p8376 :rule cong :premises (@p5606 @p8375) :args (@t1280)) % 1.12/1.37 (step @p8377 :rule cong :premises (@p5636 @p8376) :args (@t1281)) % 1.12/1.37 (step @p8378 :rule cong :premises (@p5652 @p8377) :args (@t1282)) % 1.12/1.37 (step @p8379 :rule cong :premises (@p5665 @p8378) :args (@t1283)) % 1.12/1.37 (step @p8380 :rule cong :premises (@p5678 @p8379) :args (@t1284)) % 1.12/1.37 (step @p8381 :rule cong :premises (@p5688 @p8380) :args (@t1285)) % 1.12/1.37 (step @p8382 :rule cong :premises (@p5693 @p8381) :args (@t1286)) % 1.12/1.37 (step @p8383 :rule cong :premises (@p5733 @p8382) :args (@t1287)) % 1.12/1.37 (step @p8384 :rule cong :premises (@p5753 @p8383) :args (@t1288)) % 1.12/1.37 (step @p8385 :rule cong :premises (@p5757 @p8384) :args (@t1289)) % 1.12/1.37 (step @p8386 :rule cong :premises (@p5880 @p8385) :args (@t1290)) % 1.12/1.37 (step @p8387 :rule cong :premises (@p6036 @p8386) :args (@t1291)) % 1.12/1.37 (step @p8388 :rule cong :premises (@p6098 @p8387) :args (@t1292)) % 1.12/1.37 (step @p8389 :rule cong :premises (@p6110 @p8388) :args (@t1293)) % 1.12/1.37 (step @p8390 :rule cong :premises (@p6147 @p8389) :args (@t1294)) % 1.12/1.37 (step @p8391 :rule cong :premises (@p6177 @p8390) :args (@t1295)) % 1.12/1.37 (step @p8392 :rule cong :premises (@p6248 @p8391) :args (@t1296)) % 1.12/1.37 (step @p8393 :rule cong :premises (@p6257 @p8392) :args (@t1297)) % 1.12/1.37 (step @p8394 :rule cong :premises (@p6269 @p8393) :args (@t1298)) % 1.12/1.37 (step @p8395 :rule cong :premises (@p6278 @p8394) :args (@t1299)) % 1.12/1.37 (step @p8396 :rule cong :premises (@p6339 @p8395) :args (@t1300)) % 1.12/1.37 (step @p8397 :rule cong :premises (@p6412 @p8396) :args (@t1301)) % 1.12/1.37 (step @p8398 :rule cong :premises (@p6458 @p8397) :args (@t1302)) % 1.12/1.37 (step @p8399 :rule cong :premises (@p6497 @p8398) :args (@t1303)) % 1.12/1.37 (step @p8400 :rule cong :premises (@p6520 @p8399) :args (@t1304)) % 1.12/1.37 (step @p8401 :rule cong :premises (@p6536 @p8400) :args (@t1305)) % 1.12/1.37 (step @p8402 :rule cong :premises (@p6577 @p8401) :args (@t1306)) % 1.12/1.37 (step @p8403 :rule cong :premises (@p6632 @p8402) :args (@t1307)) % 1.12/1.37 (step @p8404 :rule cong :premises (@p6663 @p8403) :args (@t1308)) % 1.12/1.37 (step @p8405 :rule cong :premises (@p6672 @p8404) :args (@t1309)) % 1.12/1.37 (step @p8406 :rule cong :premises (@p6680 @p8405) :args (@t1310)) % 1.12/1.37 (step @p8407 :rule cong :premises (@p6691 @p8406) :args (@t1311)) % 1.12/1.37 (step @p8408 :rule cong :premises (@p6699 @p8407) :args (@t1312)) % 1.12/1.37 (step @p8409 :rule cong :premises (@p6716 @p8408) :args (@t1313)) % 1.12/1.37 (step @p8410 :rule cong :premises (@p6755 @p8409) :args (@t1314)) % 1.12/1.37 (step @p8411 :rule cong :premises (@p6759 @p8410) :args (@t1315)) % 1.12/1.37 (step @p8412 :rule cong :premises (@p6774 @p8411) :args (@t1316)) % 1.12/1.37 (step @p8413 :rule cong :premises (@p6778 @p8412) :args (@t1317)) % 1.12/1.37 (step @p8414 :rule cong :premises (@p6808 @p8413) :args (@t1318)) % 1.12/1.37 (step @p8415 :rule cong :premises (@p6833 @p8414) :args (@t1319)) % 1.12/1.37 (step @p8416 :rule cong :premises (@p6847 @p8415) :args (@t1320)) % 1.12/1.37 (step @p8417 :rule cong :premises (@p6856 @p8416) :args (@t1321)) % 1.12/1.37 (step @p8418 :rule cong :premises (@p6877 @p8417) :args (@t1322)) % 1.12/1.37 (step @p8419 :rule cong :premises (@p6915 @p8418) :args (@t1323)) % 1.12/1.37 (step @p8420 :rule cong :premises (@p6948 @p8419) :args (@t1324)) % 1.12/1.37 (step @p8421 :rule cong :premises (@p7007 @p8420) :args (@t1325)) % 1.12/1.37 (step @p8422 :rule cong :premises (@p7021 @p8421) :args (@t1326)) % 1.12/1.37 (step @p8423 :rule cong :premises (@p7036 @p8422) :args (@t1327)) % 1.12/1.37 (step @p8424 :rule cong :premises (@p7041 @p8423) :args (@t1328)) % 1.12/1.37 (step @p8425 :rule cong :premises (@p7059 @p8424) :args (@t1329)) % 1.12/1.37 (step @p8426 :rule cong :premises (@p7077 @p8425) :args (@t1330)) % 1.12/1.37 (step @p8427 :rule cong :premises (@p7101 @p8426) :args (@t1331)) % 1.12/1.37 (step @p8428 :rule cong :premises (@p7128 @p8427) :args (@t1332)) % 1.12/1.37 (step @p8429 :rule cong :premises (@p7183 @p8428) :args (@t1333)) % 1.12/1.37 (step @p8430 :rule cong :premises (@p7192 @p8429) :args (@t1334)) % 1.12/1.37 (step @p8431 :rule refl :args (tptp.emptyinunitempty)) % 1.12/1.37 (step @p8432 :rule cong :premises (@p8431 @p8430) :args (@t1335)) % 1.12/1.37 (step @p8433 :rule cong :premises (@p7213 @p8432) :args (@t1336)) % 1.12/1.37 (step @p8434 :rule cong :premises (@p7253 @p8433) :args (@t1337)) % 1.12/1.37 (step @p8435 :rule cong :premises (@p7301 @p8434) :args (@t1338)) % 1.12/1.37 (step @p8436 :rule cong :premises (@p7315 @p8435) :args (@t1339)) % 1.12/1.37 (step @p8437 :rule cong :premises (@p7349 @p8436) :args (@t1340)) % 1.12/1.37 (step @p8438 :rule cong :premises (@p7354 @p8437) :args (@t1341)) % 1.12/1.37 (step @p8439 :rule cong :premises (@p7367 @p8438) :args (@t1342)) % 1.12/1.37 (step @p8440 :rule cong :premises (@p7382 @p8439) :args (@t1343)) % 1.12/1.37 (step @p8441 :rule cong :premises (@p7414 @p8440) :args (@t1344)) % 1.12/1.37 (step @p8442 :rule cong :premises (@p7423 @p8441) :args (@t1345)) % 1.12/1.37 (step @p8443 :rule cong :premises (@p7434 @p8442) :args (@t1346)) % 1.12/1.37 (step @p8444 :rule cong :premises (@p7449 @p8443) :args (@t1347)) % 1.12/1.37 (step @p8445 :rule cong :premises (@p7485 @p8444) :args (@t1348)) % 1.12/1.37 (step @p8446 :rule cong :premises (@p7494 @p8445) :args (@t1349)) % 1.12/1.37 (step @p8447 :rule cong :premises (@p7514 @p8446) :args (@t1350)) % 1.12/1.37 (step @p8448 :rule cong :premises (@p7526 @p8447) :args (@t1351)) % 1.12/1.37 (step @p8449 :rule cong :premises (@p7543 @p8448) :args (@t1352)) % 1.12/1.37 (step @p8450 :rule cong :premises (@p7593 @p8449) :args (@t1353)) % 1.12/1.37 (step @p8451 :rule cong :premises (@p7864 @p8450) :args (@t1354)) % 1.12/1.37 (step @p8452 :rule cong :premises (@p7909 @p8451) :args (@t1355)) % 1.12/1.37 (step @p8453 :rule cong :premises (@p7996 @p8452) :args (@t1356)) % 1.12/1.37 (step @p8454 :rule cong :premises (@p8082 @p8453) :args (@t1357)) % 1.12/1.37 (step @p8455 :rule cong :premises (@p8102 @p8454) :args (@t1358)) % 1.12/1.37 (step @p8456 :rule refl :args (tptp.omega0Ax)) % 1.12/1.37 (step @p8457 :rule cong :premises (@p8456 @p8455) :args (@t1359)) % 1.12/1.37 (step @p8458 :rule cong :premises (@p8121 @p8457) :args (@t1360)) % 1.12/1.37 (step @p8459 :rule cong :premises (@p8134 @p8458) :args (@t1361)) % 1.12/1.37 (step @p8460 :rule cong :premises (@p8144 @p8459) :args (@t1362)) % 1.12/1.37 (step @p8461 :rule cong :premises (@p8148 @p8460) :args (@t1363)) % 1.12/1.37 (step @p8462 :rule cong :premises (@p8159 @p8461) :args (@t1364)) % 1.12/1.37 (step @p8463 :rule cong :premises (@p8462) :args (@t1365)) % 1.12/1.37 (step @p8464 :rule trans :premises (@p8463 @p8164 @p358)) % 1.12/1.37 (step @p8465 :rule eq_resolve :premises (@p227 @p8464)) % 1.12/1.37 (step @p8466 :rule not_implies_elim2 :premises (@p8465)) % 1.12/1.37 (step @p8467 :rule not_implies_elim2 :premises (@p8466)) % 1.12/1.37 (step @p8468 :rule not_implies_elim2 :premises (@p8467)) % 1.12/1.37 (step @p8469 :rule not_implies_elim2 :premises (@p8468)) % 1.12/1.37 (step @p8470 :rule not_implies_elim2 :premises (@p8469)) % 1.12/1.37 (step @p8471 :rule not_implies_elim2 :premises (@p8470)) % 1.12/1.37 (step @p8472 :rule not_implies_elim2 :premises (@p8471)) % 1.12/1.37 (step @p8473 :rule not_implies_elim2 :premises (@p8472)) % 1.12/1.37 (step @p8474 :rule not_implies_elim2 :premises (@p8473)) % 1.12/1.37 (step @p8475 :rule not_implies_elim2 :premises (@p8474)) % 1.12/1.37 (step @p8476 :rule not_implies_elim2 :premises (@p8475)) % 1.12/1.37 (step @p8477 :rule not_implies_elim2 :premises (@p8476)) % 1.12/1.37 (step @p8478 :rule not_implies_elim2 :premises (@p8477)) % 1.12/1.37 (step @p8479 :rule not_implies_elim2 :premises (@p8478)) % 1.12/1.37 (step @p8480 :rule not_implies_elim2 :premises (@p8479)) % 1.12/1.37 (step @p8481 :rule not_implies_elim2 :premises (@p8480)) % 1.12/1.37 (step @p8482 :rule not_implies_elim2 :premises (@p8481)) % 1.12/1.37 (step @p8483 :rule not_implies_elim2 :premises (@p8482)) % 1.12/1.37 (step @p8484 :rule not_implies_elim2 :premises (@p8483)) % 1.12/1.37 (step @p8485 :rule not_implies_elim2 :premises (@p8484)) % 1.12/1.37 (step @p8486 :rule not_implies_elim2 :premises (@p8485)) % 1.12/1.37 (step @p8487 :rule not_implies_elim2 :premises (@p8486)) % 1.12/1.37 (step @p8488 :rule not_implies_elim2 :premises (@p8487)) % 1.12/1.37 (step @p8489 :rule not_implies_elim2 :premises (@p8488)) % 1.12/1.37 (step @p8490 :rule not_implies_elim2 :premises (@p8489)) % 1.12/1.37 (step @p8491 :rule not_implies_elim2 :premises (@p8490)) % 1.12/1.37 (step @p8492 :rule not_implies_elim2 :premises (@p8491)) % 1.12/1.37 (step @p8493 :rule not_implies_elim2 :premises (@p8492)) % 1.12/1.37 (step @p8494 :rule not_implies_elim2 :premises (@p8493)) % 1.12/1.37 (step @p8495 :rule not_implies_elim2 :premises (@p8494)) % 1.12/1.37 (step @p8496 :rule not_implies_elim2 :premises (@p8495)) % 1.12/1.37 (step @p8497 :rule not_implies_elim2 :premises (@p8496)) % 1.12/1.37 (step @p8498 :rule not_implies_elim2 :premises (@p8497)) % 1.12/1.37 (step @p8499 :rule not_implies_elim2 :premises (@p8498)) % 1.12/1.37 (step @p8500 :rule not_implies_elim2 :premises (@p8499)) % 1.12/1.37 (step @p8501 :rule not_implies_elim2 :premises (@p8500)) % 1.12/1.37 (step @p8502 :rule not_implies_elim2 :premises (@p8501)) % 1.12/1.37 (step @p8503 :rule not_implies_elim2 :premises (@p8502)) % 1.12/1.37 (step @p8504 :rule not_implies_elim2 :premises (@p8503)) % 1.12/1.37 (step @p8505 :rule not_implies_elim2 :premises (@p8504)) % 1.12/1.37 (step @p8506 :rule not_implies_elim2 :premises (@p8505)) % 1.12/1.37 (step @p8507 :rule not_implies_elim2 :premises (@p8506)) % 1.12/1.37 (step @p8508 :rule not_implies_elim2 :premises (@p8507)) % 1.12/1.37 (step @p8509 :rule not_implies_elim2 :premises (@p8508)) % 1.12/1.37 (step @p8510 :rule not_implies_elim2 :premises (@p8509)) % 1.12/1.37 (step @p8511 :rule not_implies_elim2 :premises (@p8510)) % 1.12/1.37 (step @p8512 :rule not_implies_elim2 :premises (@p8511)) % 1.12/1.37 (step @p8513 :rule not_implies_elim2 :premises (@p8512)) % 1.12/1.37 (step @p8514 :rule not_implies_elim2 :premises (@p8513)) % 1.12/1.37 (step @p8515 :rule not_implies_elim2 :premises (@p8514)) % 1.12/1.37 (step @p8516 :rule not_implies_elim2 :premises (@p8515)) % 1.12/1.37 (step @p8517 :rule not_implies_elim2 :premises (@p8516)) % 1.12/1.37 (step @p8518 :rule not_implies_elim2 :premises (@p8517)) % 1.12/1.37 (step @p8519 :rule not_implies_elim2 :premises (@p8518)) % 1.12/1.37 (step @p8520 :rule not_implies_elim2 :premises (@p8519)) % 1.12/1.37 (step @p8521 :rule not_implies_elim2 :premises (@p8520)) % 1.12/1.37 (step @p8522 :rule not_implies_elim2 :premises (@p8521)) % 1.12/1.37 (step @p8523 :rule not_implies_elim2 :premises (@p8522)) % 1.12/1.37 (step @p8524 :rule not_implies_elim2 :premises (@p8523)) % 1.12/1.37 (step @p8525 :rule not_implies_elim2 :premises (@p8524)) % 1.12/1.37 (step @p8526 :rule not_implies_elim2 :premises (@p8525)) % 1.12/1.37 (step @p8527 :rule not_implies_elim2 :premises (@p8526)) % 1.12/1.37 (step @p8528 :rule not_implies_elim2 :premises (@p8527)) % 1.12/1.37 (step @p8529 :rule not_implies_elim2 :premises (@p8528)) % 1.12/1.37 (step @p8530 :rule not_implies_elim2 :premises (@p8529)) % 1.12/1.37 (step @p8531 :rule not_implies_elim2 :premises (@p8530)) % 1.12/1.37 (step @p8532 :rule not_implies_elim2 :premises (@p8531)) % 1.12/1.37 (step @p8533 :rule not_implies_elim2 :premises (@p8532)) % 1.12/1.37 (step @p8534 :rule not_implies_elim2 :premises (@p8533)) % 1.12/1.37 (step @p8535 :rule not_implies_elim2 :premises (@p8534)) % 1.12/1.37 (step @p8536 :rule not_implies_elim1 :premises (@p8535)) % 1.12/1.37 (step @p8537 :rule not_implies_elim2 :premises (@p8535)) % 1.12/1.37 (step @p8538 :rule not_implies_elim2 :premises (@p8537)) % 1.12/1.37 (step @p8539 :rule not_implies_elim2 :premises (@p8538)) % 1.12/1.37 (step @p8540 :rule not_implies_elim2 :premises (@p8539)) % 1.12/1.37 (step @p8541 :rule not_implies_elim2 :premises (@p8540)) % 1.12/1.37 (step @p8542 :rule not_implies_elim2 :premises (@p8541)) % 1.12/1.37 (step @p8543 :rule not_implies_elim2 :premises (@p8542)) % 1.12/1.37 (step @p8544 :rule not_implies_elim2 :premises (@p8543)) % 1.12/1.37 (step @p8545 :rule not_implies_elim2 :premises (@p8544)) % 1.12/1.37 (step @p8546 :rule not_implies_elim2 :premises (@p8545)) % 1.12/1.37 (step @p8547 :rule not_implies_elim2 :premises (@p8546)) % 1.12/1.37 (step @p8548 :rule not_implies_elim2 :premises (@p8547)) % 1.12/1.37 (step @p8549 :rule not_implies_elim2 :premises (@p8548)) % 1.12/1.37 (step @p8550 :rule not_implies_elim2 :premises (@p8549)) % 1.12/1.37 (step @p8551 :rule not_implies_elim2 :premises (@p8550)) % 1.12/1.37 (step @p8552 :rule not_implies_elim2 :premises (@p8551)) % 1.12/1.37 (step @p8553 :rule not_implies_elim2 :premises (@p8552)) % 1.12/1.37 (step @p8554 :rule not_implies_elim2 :premises (@p8553)) % 1.12/1.37 (step @p8555 :rule not_implies_elim2 :premises (@p8554)) % 1.12/1.37 (step @p8556 :rule not_implies_elim2 :premises (@p8555)) % 1.12/1.37 (step @p8557 :rule not_implies_elim2 :premises (@p8556)) % 1.12/1.37 (step @p8558 :rule not_implies_elim2 :premises (@p8557)) % 1.12/1.37 (step @p8559 :rule not_implies_elim1 :premises (@p8558)) % 1.12/1.37 (step @p8560 :rule instantiate :premises (@p8559) :args ((@list @t4243 @t4242))) % 1.12/1.37 (step @p8561 :rule not_implies_elim1 :premises (@p8543)) % 1.12/1.37 (step @p8562 :rule instantiate :premises (@p8561) :args ((@list @t4244 @t4243))) % 1.12/1.37 (step @p8563 :rule not_implies_elim2 :premises (@p8558)) % 1.12/1.37 (step @p8564 :rule not_implies_elim2 :premises (@p8563)) % 1.12/1.37 (step @p8565 :rule not_implies_elim2 :premises (@p8564)) % 1.12/1.37 (step @p8566 :rule not_implies_elim2 :premises (@p8565)) % 1.12/1.37 (step @p8567 :rule not_implies_elim2 :premises (@p8566)) % 1.12/1.37 (step @p8568 :rule not_implies_elim2 :premises (@p8567)) % 1.12/1.37 (step @p8569 :rule not_implies_elim2 :premises (@p8568)) % 1.12/1.37 (step @p8570 :rule not_implies_elim2 :premises (@p8569)) % 1.12/1.37 (step @p8571 :rule not_implies_elim2 :premises (@p8570)) % 1.12/1.37 (step @p8572 :rule not_implies_elim2 :premises (@p8571)) % 1.12/1.37 (step @p8573 :rule not_implies_elim2 :premises (@p8572)) % 1.12/1.37 (step @p8574 :rule not_implies_elim2 :premises (@p8573)) % 1.12/1.37 (step @p8575 :rule not_implies_elim2 :premises (@p8574)) % 1.12/1.37 (step @p8576 :rule not_implies_elim2 :premises (@p8575)) % 1.12/1.37 (step @p8577 :rule not_implies_elim2 :premises (@p8576)) % 1.12/1.37 (step @p8578 :rule not_implies_elim2 :premises (@p8577)) % 1.12/1.37 (step @p8579 :rule not_implies_elim2 :premises (@p8578)) % 1.12/1.37 (step @p8580 :rule not_implies_elim2 :premises (@p8579)) % 1.12/1.37 (step @p8581 :rule not_implies_elim2 :premises (@p8580)) % 1.12/1.37 (step @p8582 :rule not_implies_elim2 :premises (@p8581)) % 1.12/1.37 (step @p8583 :rule not_implies_elim2 :premises (@p8582)) % 1.12/1.37 (step @p8584 :rule not_implies_elim2 :premises (@p8583)) % 1.12/1.37 (step @p8585 :rule not_implies_elim2 :premises (@p8584)) % 1.12/1.37 (step @p8586 :rule not_implies_elim2 :premises (@p8585)) % 1.12/1.37 (step @p8587 :rule not_implies_elim2 :premises (@p8586)) % 1.12/1.37 (step @p8588 :rule not_implies_elim2 :premises (@p8587)) % 1.12/1.37 (step @p8589 :rule not_implies_elim2 :premises (@p8588)) % 1.12/1.37 (step @p8590 :rule not_implies_elim2 :premises (@p8589)) % 1.12/1.37 (step @p8591 :rule not_implies_elim2 :premises (@p8590)) % 1.12/1.37 (step @p8592 :rule not_implies_elim2 :premises (@p8591)) % 1.12/1.37 (step @p8593 :rule not_implies_elim2 :premises (@p8592)) % 1.12/1.37 (step @p8594 :rule not_implies_elim2 :premises (@p8593)) % 1.12/1.37 (step @p8595 :rule not_implies_elim2 :premises (@p8594)) % 1.12/1.37 (step @p8596 :rule not_implies_elim2 :premises (@p8595)) % 1.12/1.37 (step @p8597 :rule not_implies_elim2 :premises (@p8596)) % 1.12/1.37 (step @p8598 :rule not_implies_elim2 :premises (@p8597)) % 1.12/1.37 (step @p8599 :rule not_implies_elim2 :premises (@p8598)) % 1.12/1.37 (step @p8600 :rule not_implies_elim2 :premises (@p8599)) % 1.12/1.37 (step @p8601 :rule not_implies_elim2 :premises (@p8600)) % 1.12/1.37 (step @p8602 :rule not_implies_elim2 :premises (@p8601)) % 1.12/1.37 (step @p8603 :rule not_implies_elim2 :premises (@p8602)) % 1.12/1.37 (step @p8604 :rule not_implies_elim2 :premises (@p8603)) % 1.12/1.37 (step @p8605 :rule not_implies_elim2 :premises (@p8604)) % 1.12/1.37 (step @p8606 :rule not_implies_elim2 :premises (@p8605)) % 1.12/1.37 (step @p8607 :rule not_implies_elim2 :premises (@p8606)) % 1.12/1.37 (step @p8608 :rule not_implies_elim2 :premises (@p8607)) % 1.12/1.37 (step @p8609 :rule not_implies_elim2 :premises (@p8608)) % 1.12/1.37 (step @p8610 :rule not_implies_elim2 :premises (@p8609)) % 1.12/1.37 (step @p8611 :rule not_implies_elim2 :premises (@p8610)) % 1.12/1.37 (step @p8612 :rule not_implies_elim2 :premises (@p8611)) % 1.12/1.37 (step @p8613 :rule not_implies_elim2 :premises (@p8612)) % 1.12/1.37 (step @p8614 :rule not_implies_elim2 :premises (@p8613)) % 1.12/1.37 (step @p8615 :rule not_implies_elim2 :premises (@p8614)) % 1.12/1.37 (step @p8616 :rule not_implies_elim2 :premises (@p8615)) % 1.12/1.37 (step @p8617 :rule not_implies_elim2 :premises (@p8616)) % 1.12/1.37 (step @p8618 :rule not_implies_elim2 :premises (@p8617)) % 1.12/1.37 (step @p8619 :rule not_implies_elim2 :premises (@p8618)) % 1.12/1.37 (step @p8620 :rule not_implies_elim2 :premises (@p8619)) % 1.12/1.37 (step @p8621 :rule not_implies_elim2 :premises (@p8620)) % 1.12/1.37 (step @p8622 :rule not_implies_elim2 :premises (@p8621)) % 1.12/1.37 (step @p8623 :rule not_implies_elim2 :premises (@p8622)) % 1.12/1.37 (step @p8624 :rule not_implies_elim2 :premises (@p8623)) % 1.12/1.37 (step @p8625 :rule not_implies_elim2 :premises (@p8624)) % 1.12/1.37 (step @p8626 :rule not_implies_elim2 :premises (@p8625)) % 1.12/1.37 (step @p8627 :rule not_implies_elim2 :premises (@p8626)) % 1.12/1.37 (step @p8628 :rule not_implies_elim2 :premises (@p8627)) % 1.12/1.37 (step @p8629 :rule not_implies_elim2 :premises (@p8628)) % 1.12/1.37 (step @p8630 :rule not_implies_elim2 :premises (@p8629)) % 1.12/1.37 (step @p8631 :rule not_implies_elim2 :premises (@p8630)) % 1.12/1.37 (step @p8632 :rule not_implies_elim2 :premises (@p8631)) % 1.12/1.37 (step @p8633 :rule not_implies_elim2 :premises (@p8632)) % 1.12/1.37 (step @p8634 :rule not_implies_elim2 :premises (@p8633)) % 1.12/1.37 (step @p8635 :rule not_implies_elim2 :premises (@p8634)) % 1.12/1.37 (step @p8636 :rule not_implies_elim2 :premises (@p8635)) % 1.12/1.37 (step @p8637 :rule not_implies_elim2 :premises (@p8636)) % 1.12/1.37 (step @p8638 :rule not_implies_elim2 :premises (@p8637)) % 1.12/1.37 (step @p8639 :rule not_implies_elim2 :premises (@p8638)) % 1.12/1.37 (step @p8640 :rule not_implies_elim2 :premises (@p8639)) % 1.12/1.37 (step @p8641 :rule not_implies_elim2 :premises (@p8640)) % 1.12/1.37 (step @p8642 :rule not_implies_elim2 :premises (@p8641)) % 1.12/1.37 (step @p8643 :rule not_implies_elim2 :premises (@p8642)) % 1.12/1.37 (step @p8644 :rule not_implies_elim2 :premises (@p8643)) % 1.12/1.37 (step @p8645 :rule not_implies_elim2 :premises (@p8644)) % 1.12/1.37 (step @p8646 :rule not_implies_elim2 :premises (@p8645)) % 1.12/1.37 (step @p8647 :rule not_implies_elim2 :premises (@p8646)) % 1.12/1.37 (step @p8648 :rule not_implies_elim2 :premises (@p8647)) % 1.12/1.37 (step @p8649 :rule not_implies_elim2 :premises (@p8648)) % 1.12/1.37 (step @p8650 :rule not_implies_elim2 :premises (@p8649)) % 1.12/1.37 (step @p8651 :rule not_implies_elim2 :premises (@p8650)) % 1.12/1.37 (step @p8652 :rule not_implies_elim2 :premises (@p8651)) % 1.12/1.37 (step @p8653 :rule not_implies_elim2 :premises (@p8652)) % 1.12/1.37 (step @p8654 :rule not_implies_elim2 :premises (@p8653)) % 1.12/1.37 (step @p8655 :rule not_implies_elim2 :premises (@p8654)) % 1.12/1.37 (step @p8656 :rule not_implies_elim2 :premises (@p8655)) % 1.12/1.37 (step @p8657 :rule not_implies_elim2 :premises (@p8656)) % 1.12/1.37 (step @p8658 :rule not_implies_elim2 :premises (@p8657)) % 1.12/1.37 (step @p8659 :rule not_implies_elim2 :premises (@p8658)) % 1.12/1.37 (step @p8660 :rule not_implies_elim2 :premises (@p8659)) % 1.12/1.37 (step @p8661 :rule not_implies_elim2 :premises (@p8660)) % 1.12/1.37 (step @p8662 :rule not_implies_elim2 :premises (@p8661)) % 1.12/1.37 (step @p8663 :rule not_implies_elim2 :premises (@p8662)) % 1.12/1.37 (step @p8664 :rule not_implies_elim2 :premises (@p8663)) % 1.12/1.37 (step @p8665 :rule not_implies_elim2 :premises (@p8664)) % 1.12/1.37 (step @p8666 :rule not_implies_elim2 :premises (@p8665)) % 1.12/1.37 (step @p8667 :rule not_implies_elim2 :premises (@p8666)) % 1.12/1.37 (step @p8668 :rule not_implies_elim2 :premises (@p8667)) % 1.12/1.37 (step @p8669 :rule not_implies_elim2 :premises (@p8668)) % 1.12/1.37 (step @p8670 :rule not_implies_elim2 :premises (@p8669)) % 1.12/1.37 (step @p8671 :rule not_implies_elim2 :premises (@p8670)) % 1.12/1.37 (step @p8672 :rule not_implies_elim2 :premises (@p8671)) % 1.12/1.37 (step @p8673 :rule not_implies_elim2 :premises (@p8672)) % 1.12/1.37 (step @p8674 :rule not_implies_elim2 :premises (@p8673)) % 1.12/1.37 (step @p8675 :rule not_implies_elim2 :premises (@p8674)) % 1.12/1.37 (step @p8676 :rule not_implies_elim2 :premises (@p8675)) % 1.12/1.37 (step @p8677 :rule skolemize :premises (@p8676)) % 1.12/1.37 (step @p8678 :rule bool-double-not-elim :args (@t4246)) % 1.12/1.37 (step @p8679 :rule refl :args (@t4250)) % 1.12/1.37 (step @p8680 :rule nary_cong :premises (@p8679 @p8678) :args ((or @t4250 (not @t4249)))) % 1.12/1.37 (step @p8681 :rule cnf_or_neg :args (@t4250 0)) % 1.12/1.37 (step @p8682 :rule eq_resolve :premises (@p8681 @p8680)) % 1.12/1.37 (step @p8683 :rule reordering :premises (@p8682) :args ((or @t4246 @t4250))) % 1.12/1.37 (step @p8684 :rule chain_m_resolution :premises (@p8683 @p8677) :args (@t4246 @t4251 @t4252)) % 1.12/1.37 (step @p8685 :rule cnf_or_pos :args (@t4254)) % 1.12/1.37 (step @p8686 :rule reordering :premises (@p8685) :args ((or @t4249 @t4253 (not @t4254)))) % 1.12/1.37 (step @p8687 :rule chain_m_resolution :premises (@p8686 @p8684 @p8562) :args (@t4253 (@list false false) (@list @t4246 @t4254))) % 1.12/1.37 (step @p8688 :rule not_implies_elim1 :premises (@p8539)) % 1.12/1.37 (step @p8689 :rule instantiate :premises (@p8688) :args ((@list @t4247 @t4244))) % 1.12/1.37 (step @p8690 :rule cnf_or_neg :args (@t4250 2)) % 1.12/1.37 (step @p8691 :rule chain_m_resolution :premises (@p8690 @p8677) :args ((not @t4248) @t4251 @t4252)) % 1.12/1.37 (step @p8692 :rule cnf_or_pos :args (@t4257)) % 1.12/1.37 (step @p8693 :rule reordering :premises (@p8692) :args ((or @t4248 @t4256 (not @t4257)))) % 1.12/1.37 (step @p8694 :rule chain_m_resolution :premises (@p8693 @p8691 @p8689) :args (@t4256 @t4258 (@list @t4248 @t4257))) % 1.12/1.37 (step @p8695 :rule cnf_or_pos :args (@t4262)) % 1.12/1.37 (step @p8696 :rule reordering :premises (@p8695) :args ((or @t4255 @t4259 @t4261 @t4263))) % 1.12/1.37 (step @p8697 :rule chain_m_resolution :premises (@p8696 @p8694 @p8687 @p8560) :args (@t4263 (@list true false false) (@list @t4255 @t4253 @t4260))) % 1.12/1.37 (assume-push @p8704 @t1901) % 1.12/1.37 (step @p8699 :rule instantiate :premises (@p8536) :args ((@list @t4247 @t4243 @t4244))) % 1.12/1.37 (step-pop @p8705 :rule scope :premises (@p8699)) % 1.12/1.37 (step @p8700 :rule process_scope :premises (@p8705) :args (@t4262)) % 1.12/1.37 (step @p8702 :rule implies_elim :premises (@p8700)) % 1.12/1.37 (step @p8703 false :rule chain_m_resolution :premises (@p8702 @p8697 @p8536) :args (false @t4258 (@list @t4262 @t1901))) % 1.12/1.37 ) % 1.12/1.37 % SZS output end Proof % 1.12/1.37 % cvc5 exiting %------------------------------------------------------------------------------