%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU738^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:52:58 AM UTC 2026 % Result : Theorem 1.23s 1.48s % Output : Proof 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU738^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n026.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:50:10 EDT 2026 % 0.19/0.35 % CPUTime : % 0.48/0.62 %----Proving TH0 % 1.23/1.48 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.23/1.48 % SZS status Theorem % 1.23/1.48 % SZS output start Proof % 1.23/1.48 ( % 1.23/1.48 (declare-sort $$unsorted 0) % 1.23/1.48 (declare-const tptp.emptyset $$unsorted) % 1.23/1.48 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 1.23/1.48 (declare-const tptp.singleton (-> $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.complementTcontraSubset Bool) % 1.23/1.48 (declare-const tptp.contraSubsetComplement Bool) % 1.23/1.48 (declare-const tptp.complementImpComplementIntersect Bool) % 1.23/1.48 (declare-const tptp.complementTnotintersectT Bool) % 1.23/1.48 (declare-const tptp.doubleComplementSub2 Bool) % 1.23/1.48 (declare-const tptp.doubleComplementSub1 Bool) % 1.23/1.48 (declare-const tptp.contrasubsetT2 Bool) % 1.23/1.48 (declare-const tptp.contrasubsetT1 Bool) % 1.23/1.48 (declare-const tptp.contrasubsetT Bool) % 1.23/1.48 (declare-const tptp.binintersectTELcontra Bool) % 1.23/1.48 (declare-const tptp.complementTI1 Bool) % 1.23/1.48 (declare-const tptp.powersetTE1 Bool) % 1.23/1.48 (declare-const tptp.powersetTI1 Bool) % 1.23/1.48 (declare-const tptp.subsetTI Bool) % 1.23/1.48 (declare-const tptp.binintersectER Bool) % 1.23/1.48 (declare-const tptp.setext Bool) % 1.23/1.48 (declare-const tptp.dpsetconstrER Bool) % 1.23/1.48 (declare-const tptp.binintersectSubset2 Bool) % 1.23/1.48 (declare-const tptp.binintersectEL Bool) % 1.23/1.48 (declare-const tptp.eta1 Bool) % 1.23/1.48 (declare-const tptp.exuI1 Bool) % 1.23/1.48 (declare-const tptp.binunionEcases Bool) % 1.23/1.48 (declare-const tptp.descrp Bool) % 1.23/1.48 (declare-const tptp.cartprodpairsurjEq Bool) % 1.23/1.48 (declare-const tptp.binunionIR Bool) % 1.23/1.48 (declare-const tptp.binunionIL Bool) % 1.23/1.48 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setbeta Bool) % 1.23/1.48 (declare-const tptp.setextsub Bool) % 1.23/1.48 (declare-const tptp.singletonsubset Bool) % 1.23/1.48 (declare-const tptp.doubleComplementEq Bool) % 1.23/1.48 (declare-const tptp.funcSet (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setadjoinSub2 Bool) % 1.23/1.48 (declare-const tptp.kpairiskpair Bool) % 1.23/1.48 (declare-const tptp.setadjoinSub Bool) % 1.23/1.48 (declare-const tptp.notequalI2 Bool) % 1.23/1.48 (declare-const tptp.emptysetsubset Bool) % 1.23/1.48 (declare-const tptp.omega0Ax Bool) % 1.23/1.48 (declare-const tptp.symdiffE Bool) % 1.23/1.48 (declare-const tptp.cartprodfstin Bool) % 1.23/1.48 (declare-const tptp.iftrueorfalse Bool) % 1.23/1.48 (declare-const tptp.powerset__Cong Bool) % 1.23/1.48 (declare-const tptp.setextAx Bool) % 1.23/1.48 (declare-const tptp.nonemptyE1 Bool) % 1.23/1.48 (declare-const tptp.binintersectRsub Bool) % 1.23/1.48 (declare-const tptp.emptyset__Cong Bool) % 1.23/1.48 (declare-const tptp.setadjoin__Cong Bool) % 1.23/1.48 (declare-const tptp.iffalseProp2 Bool) % 1.23/1.48 (declare-const tptp.binintersectSubset3 Bool) % 1.23/1.48 (declare-const tptp.exuE3e Bool) % 1.23/1.48 (declare-const tptp.quantDeMorgan3 Bool) % 1.23/1.48 (declare-const tptp.eta2 Bool) % 1.23/1.48 (declare-const tptp.exu__Cong Bool) % 1.23/1.48 (declare-const tptp.in__Cong Bool) % 1.23/1.48 (declare-const tptp.inCongP Bool) % 1.23/1.48 (declare-const tptp.setunionsingleton2 Bool) % 1.23/1.48 (declare-const tptp.exuI3 Bool) % 1.23/1.48 (declare-const tptp.subsetE Bool) % 1.23/1.48 (declare-const tptp.setukpairinjL2 Bool) % 1.23/1.48 (declare-const tptp.binintersectT_lem Bool) % 1.23/1.48 (declare-const tptp.set2prop (-> $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.sepSubset Bool) % 1.23/1.48 (declare-const tptp.cartprodmempaircEq Bool) % 1.23/1.48 (declare-const tptp.setminusSubset2 Bool) % 1.23/1.48 (declare-const tptp.ap2p Bool) % 1.23/1.48 (declare-const tptp.quantDeMorgan1 Bool) % 1.23/1.48 (declare-const tptp.ubforcartprodlem1 Bool) % 1.23/1.48 (declare-const tptp.sepInPowerset Bool) % 1.23/1.48 (declare-const tptp.vacuousDall Bool) % 1.23/1.48 (declare-const tptp.inPowerset Bool) % 1.23/1.48 (declare-const tptp.upairset2E Bool) % 1.23/1.48 (declare-const tptp.cartprodsndin Bool) % 1.23/1.48 (declare-const tptp.emptyE1 Bool) % 1.23/1.48 (declare-const tptp.subbreln Bool) % 1.23/1.48 (declare-const tptp.notequalI1 Bool) % 1.23/1.48 (declare-const tptp.symdiffIneg1 Bool) % 1.23/1.48 (declare-const tptp.binunionT_lem Bool) % 1.23/1.48 (declare-const tptp.complementInPowersetComplementIntersect Bool) % 1.23/1.48 (declare-const tptp.emptysetE Bool) % 1.23/1.48 (declare-const tptp.omega__Cong Bool) % 1.23/1.48 (declare-const tptp.ifSingleton Bool) % 1.23/1.48 (declare-const tptp.setadjoinIL Bool) % 1.23/1.48 (declare-const tptp.exuEu Bool) % 1.23/1.48 (declare-const tptp.complementSubsetComplementIntersect Bool) % 1.23/1.48 (declare-const tptp.prop2setE Bool) % 1.23/1.48 (declare-const tptp.exuI2 Bool) % 1.23/1.48 (declare-const tptp.prop2set (-> Bool $$unsorted)) % 1.23/1.48 (declare-const tptp.binintersectLsub Bool) % 1.23/1.48 (declare-const tptp.nonemptyImpWitness Bool) % 1.23/1.48 (declare-const tptp.iskpair (-> $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 1.23/1.48 (declare-const tptp.replAx Bool) % 1.23/1.48 (declare-const tptp.upairinpowunion Bool) % 1.23/1.48 (declare-const tptp.upairsetE Bool) % 1.23/1.48 (declare-const tptp.binunionLsub Bool) % 1.23/1.48 (declare-const tptp.prop2set2propI Bool) % 1.23/1.48 (declare-const tptp.dsetconstrEL Bool) % 1.23/1.48 (declare-const tptp.emptyinPowerset Bool) % 1.23/1.48 (declare-const tptp.setadjoinIR Bool) % 1.23/1.48 (declare-const tptp.setminusSubset1 Bool) % 1.23/1.48 (declare-const tptp.dsetconstr__Cong Bool) % 1.23/1.48 (declare-const tptp.kfstpairEq Bool) % 1.23/1.48 (declare-const tptp.complementT_lem Bool) % 1.23/1.48 (declare-const tptp.subsetTrans Bool) % 1.23/1.48 (declare-const tptp.setukpairIL Bool) % 1.23/1.48 (declare-const tptp.uniqinunit Bool) % 1.23/1.48 (declare-const tptp.foundationAx Bool) % 1.23/1.48 (declare-const tptp.notsubsetI Bool) % 1.23/1.48 (declare-const tptp.upairequniteq Bool) % 1.23/1.48 (declare-const tptp.funcGraphProp3 Bool) % 1.23/1.48 (declare-const tptp.binintersectSubset4 Bool) % 1.23/1.48 (declare-const tptp.emptysetimpfalse Bool) % 1.23/1.48 (declare-const tptp.subsetRefl Bool) % 1.23/1.48 (declare-const tptp.powersetT_lem Bool) % 1.23/1.48 (declare-const tptp.beta2 Bool) % 1.23/1.48 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.exuE2 Bool) % 1.23/1.48 (declare-const tptp.subsetI2 Bool) % 1.23/1.48 (declare-const tptp.setukpairinjR11 Bool) % 1.23/1.48 (declare-const tptp.powersetsubset Bool) % 1.23/1.48 (declare-const tptp.eqimpsubset2 Bool) % 1.23/1.48 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setminusLsub Bool) % 1.23/1.48 (declare-const tptp.emptyinunitempty Bool) % 1.23/1.48 (declare-const tptp.doubleComplementE1 Bool) % 1.23/1.48 (declare-const tptp.binunionRsub Bool) % 1.23/1.48 (declare-const tptp.cartprodmempair1 Bool) % 1.23/1.48 (declare-const tptp.notdallE Bool) % 1.23/1.48 (declare-const tptp.dsetconstrER Bool) % 1.23/1.48 (declare-const tptp.ap2apEq2 Bool) % 1.23/1.48 (declare-const tptp.doubleComplementI1 Bool) % 1.23/1.48 (declare-const tptp.binunionE Bool) % 1.23/1.48 (declare-const tptp.cartprodpairin Bool) % 1.23/1.48 (declare-const tptp.funcext2 Bool) % 1.23/1.48 (declare-const tptp.eqimpsubset1 Bool) % 1.23/1.48 (declare-const tptp.emptyInPowerset Bool) % 1.23/1.48 (declare-const tptp.setadjoinAx Bool) % 1.23/1.48 (declare-const tptp.exuE3u Bool) % 1.23/1.48 (declare-const tptp.ifp Bool) % 1.23/1.48 (declare-const tptp.subsetemptysetimpeq Bool) % 1.23/1.48 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setextT Bool) % 1.23/1.48 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.theeq Bool) % 1.23/1.48 (declare-const tptp.setminusELneg Bool) % 1.23/1.48 (declare-const tptp.powersetE Bool) % 1.23/1.48 (declare-const tptp.omegaSAx Bool) % 1.23/1.48 (declare-const tptp.lam2p Bool) % 1.23/1.48 (declare-const tptp.upairset2IR Bool) % 1.23/1.48 (declare-const tptp.wellorderingAx Bool) % 1.23/1.48 (declare-const tptp.cartprodsndpairEq Bool) % 1.23/1.48 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setoftrueEq Bool) % 1.23/1.48 (declare-const tptp.setunionAx Bool) % 1.23/1.48 (declare-const tptp.omegaIndAx Bool) % 1.23/1.48 (declare-const tptp.setunionE Bool) % 1.23/1.48 (declare-const tptp.emptyI Bool) % 1.23/1.48 (declare-const tptp.noeltsimpempty Bool) % 1.23/1.48 (declare-const tptp.setminusER Bool) % 1.23/1.48 (declare-const tptp.kpairp Bool) % 1.23/1.48 (declare-const tptp.powersetI1 Bool) % 1.23/1.48 (declare-const tptp.upairsetIL Bool) % 1.23/1.48 (declare-const tptp.nonemptyI Bool) % 1.23/1.48 (declare-const tptp.subsetI1 Bool) % 1.23/1.48 (declare-const tptp.emptysetAx Bool) % 1.23/1.48 (declare-const tptp.iftrue Bool) % 1.23/1.48 (declare-const tptp.singletonsuniq Bool) % 1.23/1.48 (declare-const tptp.nonemptyI1 Bool) % 1.23/1.48 (declare-const tptp.descr__Cong Bool) % 1.23/1.48 (declare-const tptp.setminusEL Bool) % 1.23/1.48 (declare-const tptp.infuncsetfunc Bool) % 1.23/1.48 (declare-const tptp.symdiff (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setadjoinE Bool) % 1.23/1.48 (declare-const tptp.funcinfuncset Bool) % 1.23/1.48 (declare-const tptp.setunionsingleton1 Bool) % 1.23/1.48 (declare-const tptp.notdexE Bool) % 1.23/1.48 (declare-const tptp.setunionI Bool) % 1.23/1.48 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.exuE1 Bool) % 1.23/1.48 (declare-const tptp.binintersectSubset5 Bool) % 1.23/1.48 (declare-const tptp.subPowSU Bool) % 1.23/1.48 (declare-const tptp.complementTE1 Bool) % 1.23/1.48 (declare-const tptp.subset2powerset Bool) % 1.23/1.48 (declare-const tptp.singletonsswitch Bool) % 1.23/1.48 (declare-const tptp.powersetE1 Bool) % 1.23/1.48 (declare-const tptp.setunion__Cong Bool) % 1.23/1.48 (declare-const tptp.funcGraphProp4 Bool) % 1.23/1.48 (declare-const tptp.notinemptyset Bool) % 1.23/1.48 (declare-const tptp.binintersectSubset1 Bool) % 1.23/1.48 (declare-const tptp.if (-> $$unsorted Bool $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.ex1E1 Bool) % 1.23/1.48 (declare-const tptp.apProp Bool) % 1.23/1.48 (declare-const tptp.bs114d Bool) % 1.23/1.48 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setminusI Bool) % 1.23/1.48 (declare-const tptp.ex1I2 Bool) % 1.23/1.48 (declare-const tptp.setminusERneg Bool) % 1.23/1.48 (declare-const tptp.setminusILneg Bool) % 1.23/1.48 (declare-const tptp.setminusIRneg Bool) % 1.23/1.48 (declare-const tptp.theprop Bool) % 1.23/1.48 (declare-const tptp.symdiffI1 Bool) % 1.23/1.48 (declare-const tptp.powersetI Bool) % 1.23/1.48 (declare-const tptp.symdiffI2 Bool) % 1.23/1.48 (declare-const tptp.symdiffIneg2 Bool) % 1.23/1.48 (declare-const tptp.brelnall2 Bool) % 1.23/1.48 (declare-const tptp.secondinupair Bool) % 1.23/1.48 (declare-const tptp.setadjoinOr Bool) % 1.23/1.48 (declare-const tptp.funcGraphProp1 Bool) % 1.23/1.48 (declare-const tptp.setukpairIR Bool) % 1.23/1.48 (declare-const tptp.singletoninpowerset Bool) % 1.23/1.48 (declare-const tptp.ksndpairEq Bool) % 1.23/1.48 (declare-const tptp.eqbreln Bool) % 1.23/1.48 (declare-const tptp.notinsingleton Bool) % 1.23/1.48 (declare-const tptp.singletoninpowunion Bool) % 1.23/1.48 (declare-const tptp.eqinunit Bool) % 1.23/1.48 (declare-const tptp.upairsubunion Bool) % 1.23/1.48 (declare-const tptp.upairsetIR Bool) % 1.23/1.48 (declare-const tptp.ubforcartprodlem2 Bool) % 1.23/1.48 (declare-const tptp.beta1 Bool) % 1.23/1.48 (declare-const tptp.ubforcartprodlem3 Bool) % 1.23/1.48 (declare-const tptp.funcext Bool) % 1.23/1.48 (declare-const tptp.cartprodmempair Bool) % 1.23/1.48 (declare-const tptp.prop2setI Bool) % 1.23/1.48 (declare-const tptp.setunionE2 Bool) % 1.23/1.48 (declare-const tptp.setunionsingleton Bool) % 1.23/1.48 (declare-const tptp.quantDeMorgan4 Bool) % 1.23/1.48 (declare-const tptp.iffalseProp1 Bool) % 1.23/1.48 (declare-const tptp.singletonprop Bool) % 1.23/1.48 (declare-const tptp.dsetconstrI Bool) % 1.23/1.48 (declare-const tptp.funcImageSingleton Bool) % 1.23/1.48 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.ex1I Bool) % 1.23/1.48 (declare-const tptp.setukpairinjL1 Bool) % 1.23/1.48 (declare-const tptp.kfstsingleton Bool) % 1.23/1.48 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.setukpairinjL Bool) % 1.23/1.48 (declare-const tptp.powersetAx Bool) % 1.23/1.48 (declare-const tptp.setukpairinjR12 Bool) % 1.23/1.48 (declare-const tptp.subsetE2 Bool) % 1.23/1.48 (declare-const tptp.setukpairinjR1 Bool) % 1.23/1.48 (declare-const tptp.setukpairinjR2 Bool) % 1.23/1.48 (declare-const tptp.omega $$unsorted) % 1.23/1.48 (declare-const tptp.setukpairinjR Bool) % 1.23/1.48 (declare-const tptp.ksndsingleton Bool) % 1.23/1.48 (declare-const tptp.kpairsurjEq Bool) % 1.23/1.48 (declare-const tptp.cartprodpairmemEL Bool) % 1.23/1.48 (declare-const tptp.cartprodpairmemER Bool) % 1.23/1.48 (declare-const tptp.binintersectTERcontra Bool) % 1.23/1.48 (declare-const tptp.cartprodfstpairEq Bool) % 1.23/1.48 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 1.23/1.48 (declare-const tptp.dpsetconstrI Bool) % 1.23/1.48 (declare-const tptp.contrasubsetT3 Bool) % 1.23/1.48 (declare-const tptp.dpsetconstrSub Bool) % 1.23/1.48 (declare-const tptp.setOfPairsIsBReln Bool) % 1.23/1.48 (declare-const tptp.dpsetconstrERa Bool) % 1.23/1.48 (declare-const tptp.binintersectI Bool) % 1.23/1.48 (declare-const tptp.dpsetconstrEL1 Bool) % 1.23/1.48 (declare-const tptp.dpsetconstrEL2 Bool) % 1.23/1.48 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.23/1.48 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.48 (declare-const tptp.disjointsetsI1 Bool) % 1.23/1.48 (declare-const tptp.app Bool) % 1.23/1.48 (declare-const tptp.iftrueProp2 Bool) % 1.23/1.48 (declare-const tptp.lamProp Bool) % 1.23/1.48 (declare-const tptp.lam (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 1.23/1.48 (declare-const tptp.iffalse Bool) % 1.23/1.48 (declare-const tptp.lamp Bool) % 1.23/1.48 (declare-const tptp.brelnall1 Bool) % 1.23/1.48 (declare-const tptp.ex1E2 Bool) % 1.23/1.48 (declare-const tptp.funcGraphProp2 Bool) % 1.23/1.48 (declare-const tptp.funcextLem Bool) % 1.23/1.48 (declare-const tptp.ap2apEq1 Bool) % 1.23/1.48 (declare-const tptp.quantDeMorgan2 Bool) % 1.23/1.48 (declare-const tptp.lam2lamEq Bool) % 1.23/1.48 (declare-const tptp.iftrueProp1 Bool) % 1.23/1.48 (declare-const tptp.setminusT_lem Bool) % 1.23/1.48 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 1.23/1.48 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 1.23/1.48 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 1.23/1.48 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 1.23/1.48 (define @t1 () (@var "B" $$unsorted)) % 1.23/1.48 (define @t2 () (@var "A" $$unsorted)) % 1.23/1.48 (define @t3 () (= @t2 @t1)) % 1.23/1.48 (define @t4 () (@var "Xx" $$unsorted)) % 1.23/1.48 (define @t5 () (_ tptp.in @t4)) % 1.23/1.48 (define @t6 () (_ @t5 @t1)) % 1.23/1.48 (define @t7 () (_ @t5 @t2)) % 1.23/1.48 (define @t8 () (= @t7 @t6)) % 1.23/1.48 (define @t9 () (@list @t4)) % 1.23/1.48 (define @t10 () (forall @t9 @t8)) % 1.23/1.48 (define @t11 () (=> @t10 @t3)) % 1.23/1.48 (define @t12 () (@list @t2 @t1)) % 1.23/1.48 (define @t13 () (forall @t12 @t11)) % 1.23/1.48 (define @t14 () (= tptp.setextAx @t13)) % 1.23/1.48 (define @t15 () (_ @t5 tptp.emptyset)) % 1.23/1.48 (define @t16 () (not @t15)) % 1.23/1.48 (define @t17 () (forall @t9 @t16)) % 1.23/1.48 (define @t18 () (= tptp.emptysetAx @t17)) % 1.23/1.48 (define @t19 () (@var "Xy" $$unsorted)) % 1.23/1.48 (define @t20 () (_ tptp.in @t19)) % 1.23/1.48 (define @t21 () (_ @t20 @t2)) % 1.23/1.48 (define @t22 () (= @t19 @t4)) % 1.23/1.48 (define @t23 () (or @t22 @t21)) % 1.23/1.48 (define @t24 () (_ tptp.setadjoin @t4)) % 1.23/1.48 (define @t25 () (_ @t24 @t2)) % 1.23/1.48 (define @t26 () (_ @t20 @t25)) % 1.23/1.48 (define @t27 () (= @t26 @t23)) % 1.23/1.48 (define @t28 () (@list @t4 @t2 @t19)) % 1.23/1.48 (define @t29 () (forall @t28 @t27)) % 1.23/1.48 (define @t30 () (= tptp.setadjoinAx @t29)) % 1.23/1.48 (define @t31 () (=> @t6 @t7)) % 1.23/1.48 (define @t32 () (forall @t9 @t31)) % 1.23/1.48 (define @t33 () (_ tptp.powerset @t2)) % 1.23/1.48 (define @t34 () (_ tptp.in @t1)) % 1.23/1.48 (define @t35 () (_ @t34 @t33)) % 1.23/1.48 (define @t36 () (= @t35 @t32)) % 1.23/1.48 (define @t37 () (forall @t12 @t36)) % 1.23/1.48 (define @t38 () (= tptp.powersetAx @t37)) % 1.23/1.48 (define @t39 () (_ @t34 @t2)) % 1.23/1.48 (define @t40 () (and @t6 @t39)) % 1.23/1.48 (define @t41 () (@list @t1)) % 1.23/1.48 (define @t42 () (exists @t41 @t40)) % 1.23/1.48 (define @t43 () (_ tptp.setunion @t2)) % 1.23/1.48 (define @t44 () (_ @t5 @t43)) % 1.23/1.48 (define @t45 () (= @t44 @t42)) % 1.23/1.48 (define @t46 () (@list @t2 @t4)) % 1.23/1.49 (define @t47 () (forall @t46 @t45)) % 1.23/1.49 (define @t48 () (= tptp.setunionAx @t47)) % 1.23/1.49 (define @t49 () (_ tptp.in tptp.emptyset)) % 1.23/1.49 (define @t50 () (_ @t49 tptp.omega)) % 1.23/1.49 (define @t51 () (_ @t24 @t4)) % 1.23/1.49 (define @t52 () (_ tptp.in @t51)) % 1.23/1.49 (define @t53 () (_ @t52 tptp.omega)) % 1.23/1.49 (define @t54 () (_ @t5 tptp.omega)) % 1.23/1.49 (define @t55 () (forall @t9 (=> @t54 @t53))) % 1.23/1.49 (define @t56 () (= tptp.omegaSAx @t55)) % 1.23/1.49 (define @t57 () (forall @t9 (=> @t54 @t7))) % 1.23/1.49 (define @t58 () (_ @t52 @t2)) % 1.23/1.49 (define @t59 () (and @t54 @t7)) % 1.23/1.49 (define @t60 () (forall @t9 (=> @t59 @t58))) % 1.23/1.49 (define @t61 () (_ @t49 @t2)) % 1.23/1.49 (define @t62 () (and @t61 @t60)) % 1.23/1.49 (define @t63 () (=> @t62 @t57)) % 1.23/1.49 (define @t64 () (@list @t2)) % 1.23/1.49 (define @t65 () (forall @t64 @t63)) % 1.23/1.49 (define @t66 () (= tptp.omegaIndAx @t65)) % 1.23/1.49 (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 1.23/1.49 (define @t68 () (_ (_ @t67 @t19) @t4)) % 1.23/1.49 (define @t69 () (and @t21 @t68)) % 1.23/1.49 (define @t70 () (@list @t19)) % 1.23/1.49 (define @t71 () (exists @t70 @t69)) % 1.23/1.49 (define @t72 () (= @t6 @t71)) % 1.23/1.49 (define @t73 () (forall @t9 @t72)) % 1.23/1.49 (define @t74 () (exists @t41 @t73)) % 1.23/1.49 (define @t75 () (_ @t67 @t4)) % 1.23/1.49 (define @t76 () (_ @t75 @t19)) % 1.23/1.49 (define @t77 () (lambda @t70 @t76)) % 1.23/1.49 (define @t78 () (=> @t7 (_ tptp.exu @t77))) % 1.23/1.49 (define @t79 () (forall @t9 @t78)) % 1.23/1.49 (define @t80 () (=> @t79 @t74)) % 1.23/1.49 (define @t81 () (@list @t67 @t2)) % 1.23/1.49 (define @t82 () (forall @t81 @t80)) % 1.23/1.49 (define @t83 () (= tptp.replAx @t82)) % 1.23/1.49 (define @t84 () (and @t6 @t7)) % 1.23/1.49 (define @t85 () (exists @t9 @t84)) % 1.23/1.49 (define @t86 () (not @t85)) % 1.23/1.49 (define @t87 () (and @t39 @t86)) % 1.23/1.49 (define @t88 () (exists @t41 @t87)) % 1.23/1.49 (define @t89 () (exists @t9 @t7)) % 1.23/1.49 (define @t90 () (=> @t89 @t88)) % 1.23/1.49 (define @t91 () (forall @t64 @t90)) % 1.23/1.49 (define @t92 () (= tptp.foundationAx @t91)) % 1.23/1.49 (define @t93 () (@var "E" $$unsorted)) % 1.23/1.49 (define @t94 () (_ @t5 @t93)) % 1.23/1.49 (define @t95 () (@var "D" $$unsorted)) % 1.23/1.49 (define @t96 () (_ @t20 @t95)) % 1.23/1.49 (define @t97 () (_ @t20 @t93)) % 1.23/1.49 (define @t98 () (forall @t70 (=> @t97 @t96))) % 1.23/1.49 (define @t99 () (or @t98 @t94)) % 1.23/1.49 (define @t100 () (_ (_ tptp.in @t93) @t1)) % 1.23/1.49 (define @t101 () (=> @t100 @t99)) % 1.23/1.49 (define @t102 () (@list @t93)) % 1.23/1.49 (define @t103 () (forall @t102 @t101)) % 1.23/1.49 (define @t104 () (@var "C" $$unsorted)) % 1.23/1.49 (define @t105 () (_ @t20 @t104)) % 1.23/1.49 (define @t106 () (and @t96 @t105)) % 1.23/1.49 (define @t107 () (exists @t70 @t106)) % 1.23/1.49 (define @t108 () (not @t107)) % 1.23/1.49 (define @t109 () (_ @t5 @t104)) % 1.23/1.49 (define @t110 () (_ (_ tptp.in @t95) @t1)) % 1.23/1.49 (define @t111 () (and @t110 @t109 @t108 @t103)) % 1.23/1.49 (define @t112 () (@list @t95 @t4)) % 1.23/1.49 (define @t113 () (exists @t112 @t111)) % 1.23/1.49 (define @t114 () (exists @t9 @t109)) % 1.23/1.49 (define @t115 () (forall @t9 (=> @t109 @t7))) % 1.23/1.49 (define @t116 () (and @t115 @t114)) % 1.23/1.49 (define @t117 () (=> @t116 @t113)) % 1.23/1.49 (define @t118 () (@list @t104)) % 1.23/1.49 (define @t119 () (forall @t118 @t117)) % 1.23/1.49 (define @t120 () (_ @t5 @t95)) % 1.23/1.49 (define @t121 () (forall @t9 (=> @t120 @t109))) % 1.23/1.49 (define @t122 () (forall @t9 (=> @t109 @t120))) % 1.23/1.49 (define @t123 () (or @t122 @t121)) % 1.23/1.49 (define @t124 () (_ (_ tptp.in @t104) @t1)) % 1.23/1.49 (define @t125 () (and @t124 @t110)) % 1.23/1.49 (define @t126 () (=> @t125 @t123)) % 1.23/1.49 (define @t127 () (@list @t104 @t95)) % 1.23/1.49 (define @t128 () (forall @t127 @t126)) % 1.23/1.49 (define @t129 () (= @t4 @t19)) % 1.23/1.49 (define @t130 () (= @t109 @t105)) % 1.23/1.49 (define @t131 () (forall @t118 (=> @t124 @t130))) % 1.23/1.49 (define @t132 () (=> @t131 @t129)) % 1.23/1.49 (define @t133 () (and @t7 @t21)) % 1.23/1.49 (define @t134 () (=> @t133 @t132)) % 1.23/1.49 (define @t135 () (@list @t4 @t19)) % 1.23/1.49 (define @t136 () (forall @t135 @t134)) % 1.23/1.49 (define @t137 () (=> @t124 @t115)) % 1.23/1.49 (define @t138 () (forall @t118 @t137)) % 1.23/1.49 (define @t139 () (and @t138 @t136 @t128 @t119)) % 1.23/1.49 (define @t140 () (exists @t41 @t139)) % 1.23/1.49 (define @t141 () (forall @t64 @t140)) % 1.23/1.49 (define @t142 () (= tptp.wellorderingAx @t141)) % 1.23/1.49 (define @t143 () (@var "Xphi" (-> $$unsorted Bool))) % 1.23/1.49 (define @t144 () (_ @t143 @t4)) % 1.23/1.49 (define @t145 () (lambda @t9 @t144)) % 1.23/1.49 (define @t146 () (_ tptp.descr @t145)) % 1.23/1.49 (define @t147 () (_ @t143 @t146)) % 1.23/1.49 (define @t148 () (_ tptp.exu @t145)) % 1.23/1.49 (define @t149 () (=> @t148 @t147)) % 1.23/1.49 (define @t150 () (@list @t143)) % 1.23/1.49 (define @t151 () (forall @t150 @t149)) % 1.23/1.49 (define @t152 () (= tptp.descrp @t151)) % 1.23/1.49 (define @t153 () (_ @t143 @t19)) % 1.23/1.49 (define @t154 () (lambda @t70 @t153)) % 1.23/1.49 (define @t155 () (_ tptp.dsetconstr @t2)) % 1.23/1.49 (define @t156 () (_ @t155 @t154)) % 1.23/1.49 (define @t157 () (_ @t5 @t156)) % 1.23/1.49 (define @t158 () (=> @t144 @t157)) % 1.23/1.49 (define @t159 () (@list @t2 @t143 @t4)) % 1.23/1.49 (define @t160 () (forall @t159 (=> @t7 @t158))) % 1.23/1.49 (define @t161 () (= tptp.dsetconstrI @t160)) % 1.23/1.49 (define @t162 () (forall @t159 (=> @t157 @t7))) % 1.23/1.49 (define @t163 () (= tptp.dsetconstrEL @t162)) % 1.23/1.49 (define @t164 () (forall @t159 (=> @t157 @t144))) % 1.23/1.49 (define @t165 () (= tptp.dsetconstrER @t164)) % 1.23/1.49 (define @t166 () (=> @t153 @t129)) % 1.23/1.49 (define @t167 () (forall @t70 @t166)) % 1.23/1.49 (define @t168 () (and @t144 @t167)) % 1.23/1.49 (define @t169 () (exists @t9 @t168)) % 1.23/1.49 (define @t170 () (=> @t148 @t169)) % 1.23/1.49 (define @t171 () (forall @t150 @t170)) % 1.23/1.49 (define @t172 () (= tptp.exuE1 @t171)) % 1.23/1.49 (define @t173 () (@var "Xphi" Bool)) % 1.23/1.49 (define @t174 () (_ tptp.prop2set @t173)) % 1.23/1.49 (define @t175 () (_ @t5 @t174)) % 1.23/1.49 (define @t176 () (@list @t173 @t4)) % 1.23/1.49 (define @t177 () (forall @t176 (=> @t175 @t173))) % 1.23/1.49 (define @t178 () (= tptp.prop2setE @t177)) % 1.23/1.49 (define @t179 () (@list @t173)) % 1.23/1.49 (define @t180 () (forall @t179 @t173)) % 1.23/1.49 (define @t181 () (=> @t15 @t180)) % 1.23/1.49 (define @t182 () (forall @t9 @t181)) % 1.23/1.49 (define @t183 () (= tptp.emptysetE @t182)) % 1.23/1.49 (define @t184 () (forall @t9 (=> @t15 false))) % 1.23/1.49 (define @t185 () (= tptp.emptysetimpfalse @t184)) % 1.23/1.49 (define @t186 () (exists @t9 @t144)) % 1.23/1.49 (define @t187 () (=> @t148 @t186)) % 1.23/1.49 (define @t188 () (forall @t150 @t187)) % 1.23/1.49 (define @t189 () (= tptp.exuE3e @t188)) % 1.23/1.49 (define @t190 () (=> @t32 @t3)) % 1.23/1.49 (define @t191 () (=> @t7 @t6)) % 1.23/1.49 (define @t192 () (forall @t9 @t191)) % 1.23/1.49 (define @t193 () (=> @t192 @t190)) % 1.23/1.49 (define @t194 () (forall @t12 @t193)) % 1.23/1.49 (define @t195 () (= tptp.setext @t194)) % 1.23/1.49 (define @t196 () (= @t2 tptp.emptyset)) % 1.23/1.49 (define @t197 () (not @t7)) % 1.23/1.49 (define @t198 () (forall @t9 @t197)) % 1.23/1.49 (define @t199 () (=> @t198 @t196)) % 1.23/1.49 (define @t200 () (forall @t64 @t199)) % 1.23/1.49 (define @t201 () (= tptp.emptyI @t200)) % 1.23/1.49 (define @t202 () (=> @t7 (= @t157 @t144))) % 1.23/1.49 (define @t203 () (forall @t159 @t202)) % 1.23/1.49 (define @t204 () (= tptp.setbeta @t203)) % 1.23/1.49 (define @t205 () (_ tptp.nonempty @t2)) % 1.23/1.49 (define @t206 () (=> @t205 @t89)) % 1.23/1.49 (define @t207 () (forall @t64 @t206)) % 1.23/1.49 (define @t208 () (= tptp.nonemptyE1 @t207)) % 1.23/1.49 (define @t209 () (=> @t144 (_ tptp.nonempty @t156))) % 1.23/1.49 (define @t210 () (=> @t7 @t209)) % 1.23/1.49 (define @t211 () (forall @t159 @t210)) % 1.23/1.49 (define @t212 () (= tptp.nonemptyI @t211)) % 1.23/1.49 (define @t213 () (=> @t89 @t205)) % 1.23/1.49 (define @t214 () (forall @t64 @t213)) % 1.23/1.49 (define @t215 () (= tptp.nonemptyI1 @t214)) % 1.23/1.49 (define @t216 () (_ @t24 @t19)) % 1.23/1.49 (define @t217 () (_ @t5 @t216)) % 1.23/1.49 (define @t218 () (forall @t135 @t217)) % 1.23/1.49 (define @t219 () (= tptp.setadjoinIL @t218)) % 1.23/1.49 (define @t220 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset)) % 1.23/1.49 (define @t221 () (_ @t49 @t220)) % 1.23/1.49 (define @t222 () (forall @t28 (=> @t21 @t26))) % 1.23/1.49 (define @t223 () (= tptp.setadjoinIR @t222)) % 1.23/1.49 (define @t224 () (=> @t21 @t173)) % 1.23/1.49 (define @t225 () (=> @t224 @t173)) % 1.23/1.49 (define @t226 () (=> @t22 @t173)) % 1.23/1.49 (define @t227 () (=> @t226 @t225)) % 1.23/1.49 (define @t228 () (forall @t179 @t227)) % 1.23/1.49 (define @t229 () (=> @t26 @t228)) % 1.23/1.49 (define @t230 () (forall @t28 @t229)) % 1.23/1.49 (define @t231 () (= tptp.setadjoinE @t230)) % 1.23/1.49 (define @t232 () (=> @t26 @t23)) % 1.23/1.49 (define @t233 () (forall @t28 @t232)) % 1.23/1.49 (define @t234 () (= tptp.setadjoinOr @t233)) % 1.23/1.49 (define @t235 () (lambda @t9 true)) % 1.23/1.49 (define @t236 () (= (_ @t155 @t235) @t2)) % 1.23/1.49 (define @t237 () (forall @t64 @t236)) % 1.23/1.49 (define @t238 () (= tptp.setoftrueEq @t237)) % 1.23/1.49 (define @t239 () (=> @t32 @t35)) % 1.23/1.49 (define @t240 () (forall @t12 @t239)) % 1.23/1.49 (define @t241 () (= tptp.powersetI @t240)) % 1.23/1.49 (define @t242 () (_ @t49 @t33)) % 1.23/1.49 (define @t243 () (forall @t64 @t242)) % 1.23/1.49 (define @t244 () (= tptp.emptyinPowerset @t243)) % 1.23/1.49 (define @t245 () (@list @t2 @t1 @t4)) % 1.23/1.49 (define @t246 () (forall @t245 (=> @t35 @t31))) % 1.23/1.49 (define @t247 () (= tptp.powersetE @t246)) % 1.23/1.49 (define @t248 () (=> @t39 @t44)) % 1.23/1.49 (define @t249 () (@list @t2 @t4 @t1)) % 1.23/1.49 (define @t250 () (forall @t249 (=> @t6 @t248))) % 1.23/1.49 (define @t251 () (= tptp.setunionI @t250)) % 1.23/1.49 (define @t252 () (=> @t39 @t173)) % 1.23/1.49 (define @t253 () (forall @t41 (=> @t6 @t252))) % 1.23/1.49 (define @t254 () (=> @t253 @t173)) % 1.23/1.49 (define @t255 () (forall @t179 @t254)) % 1.23/1.49 (define @t256 () (=> @t44 @t255)) % 1.23/1.49 (define @t257 () (forall @t46 @t256)) % 1.23/1.49 (define @t258 () (= tptp.setunionE @t257)) % 1.23/1.49 (define @t259 () (_ tptp.powerset @t43)) % 1.23/1.49 (define @t260 () (_ @t5 @t259)) % 1.23/1.49 (define @t261 () (forall @t46 (=> @t7 @t260))) % 1.23/1.49 (define @t262 () (= tptp.subPowSU @t261)) % 1.23/1.49 (define @t263 () (= @t153 @t22)) % 1.23/1.49 (define @t264 () (forall @t70 @t263)) % 1.23/1.49 (define @t265 () (exists @t9 @t264)) % 1.23/1.49 (define @t266 () (=> @t148 @t265)) % 1.23/1.49 (define @t267 () (forall @t150 @t266)) % 1.23/1.49 (define @t268 () (= tptp.exuE2 @t267)) % 1.23/1.49 (define @t269 () (and @t7 true)) % 1.23/1.49 (define @t270 () (exists @t9 @t269)) % 1.23/1.49 (define @t271 () (=> @t205 @t270)) % 1.23/1.49 (define @t272 () (forall @t64 @t271)) % 1.23/1.49 (define @t273 () (= tptp.nonemptyImpWitness @t272)) % 1.23/1.49 (define @t274 () (_ tptp.setadjoin @t19)) % 1.23/1.49 (define @t275 () (_ @t274 tptp.emptyset)) % 1.23/1.49 (define @t276 () (_ @t5 @t275)) % 1.23/1.49 (define @t277 () (forall @t135 (=> @t276 @t129))) % 1.23/1.49 (define @t278 () (= tptp.uniqinunit @t277)) % 1.23/1.49 (define @t279 () (_ @t24 tptp.emptyset)) % 1.23/1.49 (define @t280 () (_ @t20 @t279)) % 1.23/1.49 (define @t281 () (not @t280)) % 1.23/1.49 (define @t282 () (not @t129)) % 1.23/1.49 (define @t283 () (forall @t135 (=> @t282 @t281))) % 1.23/1.49 (define @t284 () (= tptp.notinsingleton @t283)) % 1.23/1.49 (define @t285 () (forall @t135 (=> @t129 @t276))) % 1.23/1.49 (define @t286 () (= tptp.eqinunit @t285)) % 1.23/1.49 (define @t287 () (forall @t135 (=> @t276 @t280))) % 1.23/1.49 (define @t288 () (= tptp.singletonsswitch @t287)) % 1.23/1.49 (define @t289 () (@var "Xz" $$unsorted)) % 1.23/1.49 (define @t290 () (= @t289 @t19)) % 1.23/1.49 (define @t291 () (= @t289 @t4)) % 1.23/1.49 (define @t292 () (or @t291 @t290)) % 1.23/1.49 (define @t293 () (_ @t24 @t275)) % 1.23/1.49 (define @t294 () (_ tptp.in @t289)) % 1.23/1.49 (define @t295 () (_ @t294 @t293)) % 1.23/1.49 (define @t296 () (=> @t295 @t292)) % 1.23/1.49 (define @t297 () (@list @t4 @t19 @t289)) % 1.23/1.49 (define @t298 () (forall @t297 @t296)) % 1.23/1.49 (define @t299 () (= tptp.upairsetE @t298)) % 1.23/1.49 (define @t300 () (_ @t5 @t293)) % 1.23/1.49 (define @t301 () (forall @t135 @t300)) % 1.23/1.49 (define @t302 () (= tptp.upairsetIL @t301)) % 1.23/1.49 (define @t303 () (_ @t20 @t293)) % 1.23/1.49 (define @t304 () (forall @t135 @t303)) % 1.23/1.49 (define @t305 () (= tptp.upairsetIR @t304)) % 1.23/1.49 (define @t306 () (_ @t155 @t145)) % 1.23/1.49 (define @t307 () (= @t306 tptp.emptyset)) % 1.23/1.49 (define @t308 () (and @t7 @t144)) % 1.23/1.49 (define @t309 () (exists @t9 @t308)) % 1.23/1.49 (define @t310 () (=> @t309 (=> @t307 false))) % 1.23/1.49 (define @t311 () (@list @t2 @t143)) % 1.23/1.49 (define @t312 () (forall @t311 @t310)) % 1.23/1.49 (define @t313 () (= tptp.emptyE1 @t312)) % 1.23/1.49 (define @t314 () (@list @t143 @t4)) % 1.23/1.49 (define @t315 () (forall @t314 (=> @t15 @t144))) % 1.23/1.49 (define @t316 () (= tptp.vacuousDall @t315)) % 1.23/1.49 (define @t317 () (not @t144)) % 1.23/1.49 (define @t318 () (and @t7 @t317)) % 1.23/1.49 (define @t319 () (exists @t9 @t318)) % 1.23/1.49 (define @t320 () (forall @t9 (=> @t7 @t144))) % 1.23/1.49 (define @t321 () (not @t320)) % 1.23/1.49 (define @t322 () (=> @t321 @t319)) % 1.23/1.49 (define @t323 () (forall @t311 @t322)) % 1.23/1.49 (define @t324 () (= tptp.quantDeMorgan1 @t323)) % 1.23/1.49 (define @t325 () (not @t309)) % 1.23/1.49 (define @t326 () (forall @t9 (=> @t7 @t317))) % 1.23/1.49 (define @t327 () (=> @t326 @t325)) % 1.23/1.49 (define @t328 () (forall @t311 @t327)) % 1.23/1.49 (define @t329 () (= tptp.quantDeMorgan2 @t328)) % 1.23/1.49 (define @t330 () (=> @t325 @t326)) % 1.23/1.49 (define @t331 () (forall @t311 @t330)) % 1.23/1.49 (define @t332 () (= tptp.quantDeMorgan3 @t331)) % 1.23/1.49 (define @t333 () (=> @t319 @t321)) % 1.23/1.49 (define @t334 () (forall @t311 @t333)) % 1.23/1.49 (define @t335 () (= tptp.quantDeMorgan4 @t334)) % 1.23/1.49 (define @t336 () (_ @t49 @t174)) % 1.23/1.49 (define @t337 () (forall @t179 (=> @t173 @t336))) % 1.23/1.49 (define @t338 () (= tptp.prop2setI @t337)) % 1.23/1.49 (define @t339 () (_ tptp.set2prop @t174)) % 1.23/1.49 (define @t340 () (forall @t179 (=> @t173 @t339))) % 1.23/1.49 (define @t341 () (= tptp.prop2set2propI @t340)) % 1.23/1.49 (define @t342 () (=> @t169 @t148)) % 1.23/1.49 (define @t343 () (forall @t150 @t342)) % 1.23/1.49 (define @t344 () (= tptp.exuI1 @t343)) % 1.23/1.49 (define @t345 () (=> @t144 @t166)) % 1.23/1.49 (define @t346 () (forall @t135 @t345)) % 1.23/1.49 (define @t347 () (=> @t346 @t148)) % 1.23/1.49 (define @t348 () (=> @t186 @t347)) % 1.23/1.49 (define @t349 () (forall @t150 @t348)) % 1.23/1.49 (define @t350 () (= tptp.exuI3 @t349)) % 1.23/1.49 (define @t351 () (=> @t265 @t148)) % 1.23/1.49 (define @t352 () (forall @t150 @t351)) % 1.23/1.49 (define @t353 () (= tptp.exuI2 @t352)) % 1.23/1.49 (define @t354 () (_ @t20 @t1)) % 1.23/1.49 (define @t355 () (=> @t7 @t354)) % 1.23/1.49 (define @t356 () (forall @t135 (=> @t129 @t355))) % 1.23/1.49 (define @t357 () (=> @t3 @t356)) % 1.23/1.49 (define @t358 () (forall @t12 @t357)) % 1.23/1.49 (define @t359 () (= tptp.inCongP @t358)) % 1.23/1.49 (define @t360 () (= @t7 @t354)) % 1.23/1.49 (define @t361 () (forall @t135 (=> @t129 @t360))) % 1.23/1.49 (define @t362 () (=> @t3 @t361)) % 1.23/1.49 (define @t363 () (forall @t12 @t362)) % 1.23/1.49 (define @t364 () (= tptp.in__Cong @t363)) % 1.23/1.49 (define @t365 () (=> @t148 @t346)) % 1.23/1.49 (define @t366 () (forall @t150 @t365)) % 1.23/1.49 (define @t367 () (= tptp.exuE3u @t366)) % 1.23/1.49 (define @t368 () (@var "Xpsi" (-> $$unsorted Bool))) % 1.23/1.49 (define @t369 () (_ @t368 @t4)) % 1.23/1.49 (define @t370 () (lambda @t9 @t369)) % 1.23/1.49 (define @t371 () (_ tptp.exu @t370)) % 1.23/1.49 (define @t372 () (= @t148 @t371)) % 1.23/1.49 (define @t373 () (_ @t368 @t19)) % 1.23/1.49 (define @t374 () (= @t144 @t373)) % 1.23/1.49 (define @t375 () (=> @t129 @t374)) % 1.23/1.49 (define @t376 () (forall @t135 @t375)) % 1.23/1.49 (define @t377 () (=> @t376 @t372)) % 1.23/1.49 (define @t378 () (@list @t143 @t368)) % 1.23/1.49 (define @t379 () (forall @t378 @t377)) % 1.23/1.49 (define @t380 () (= tptp.exu__Cong @t379)) % 1.23/1.49 (define @t381 () (= tptp.emptyset tptp.emptyset)) % 1.23/1.49 (define @t382 () (= tptp.emptyset__Cong @t381)) % 1.23/1.49 (define @t383 () (@var "Xu" $$unsorted)) % 1.23/1.49 (define @t384 () (_ @t274 @t383)) % 1.23/1.49 (define @t385 () (_ @t24 @t289)) % 1.23/1.49 (define @t386 () (= @t385 @t384)) % 1.23/1.49 (define @t387 () (= @t289 @t383)) % 1.23/1.49 (define @t388 () (@list @t289 @t383)) % 1.23/1.49 (define @t389 () (forall @t388 (=> @t387 @t386))) % 1.23/1.49 (define @t390 () (=> @t129 @t389)) % 1.23/1.49 (define @t391 () (forall @t135 @t390)) % 1.23/1.49 (define @t392 () (= tptp.setadjoin__Cong @t391)) % 1.23/1.49 (define @t393 () (_ tptp.powerset @t1)) % 1.23/1.49 (define @t394 () (= @t33 @t393)) % 1.23/1.49 (define @t395 () (forall @t12 (=> @t3 @t394))) % 1.23/1.49 (define @t396 () (= tptp.powerset__Cong @t395)) % 1.23/1.49 (define @t397 () (_ tptp.setunion @t1)) % 1.23/1.49 (define @t398 () (= @t43 @t397)) % 1.23/1.49 (define @t399 () (forall @t12 (=> @t3 @t398))) % 1.23/1.49 (define @t400 () (= tptp.setunion__Cong @t399)) % 1.23/1.49 (define @t401 () (= tptp.omega__Cong (= tptp.omega tptp.omega))) % 1.23/1.49 (define @t402 () (= tptp.exuEu @t366)) % 1.23/1.49 (define @t403 () (_ tptp.descr @t370)) % 1.23/1.49 (define @t404 () (= @t146 @t403)) % 1.23/1.49 (define @t405 () (=> @t371 @t404)) % 1.23/1.49 (define @t406 () (=> @t148 @t405)) % 1.23/1.49 (define @t407 () (=> @t376 @t406)) % 1.23/1.49 (define @t408 () (forall @t378 @t407)) % 1.23/1.49 (define @t409 () (= tptp.descr__Cong @t408)) % 1.23/1.49 (define @t410 () (_ tptp.dsetconstr @t1)) % 1.23/1.49 (define @t411 () (_ @t410 @t370)) % 1.23/1.49 (define @t412 () (= @t306 @t411)) % 1.23/1.49 (define @t413 () (forall @t70 (=> @t354 @t375))) % 1.23/1.49 (define @t414 () (=> @t7 @t413)) % 1.23/1.49 (define @t415 () (forall @t9 @t414)) % 1.23/1.49 (define @t416 () (=> @t415 @t412)) % 1.23/1.49 (define @t417 () (forall @t378 @t416)) % 1.23/1.49 (define @t418 () (=> @t3 @t417)) % 1.23/1.49 (define @t419 () (forall @t12 @t418)) % 1.23/1.49 (define @t420 () (= tptp.dsetconstr__Cong @t419)) % 1.23/1.49 (define @t421 () (_ tptp.subset @t2)) % 1.23/1.49 (define @t422 () (_ @t421 @t1)) % 1.23/1.49 (define @t423 () (=> @t192 @t422)) % 1.23/1.49 (define @t424 () (forall @t12 @t423)) % 1.23/1.49 (define @t425 () (= tptp.subsetI1 @t424)) % 1.23/1.49 (define @t426 () (_ tptp.subset @t1)) % 1.23/1.49 (define @t427 () (_ @t426 @t2)) % 1.23/1.49 (define @t428 () (forall @t12 (=> @t3 @t427))) % 1.23/1.49 (define @t429 () (= tptp.eqimpsubset2 @t428)) % 1.23/1.49 (define @t430 () (forall @t12 (=> @t3 @t422))) % 1.23/1.49 (define @t431 () (= tptp.eqimpsubset1 @t430)) % 1.23/1.49 (define @t432 () (_ (_ tptp.subset tptp.emptyset) @t2)) % 1.23/1.49 (define @t433 () (forall @t64 @t432)) % 1.23/1.49 (define @t434 () (= tptp.emptysetsubset @t433)) % 1.23/1.49 (define @t435 () (forall @t245 (=> @t422 @t191))) % 1.23/1.49 (define @t436 () (= tptp.subsetE @t435)) % 1.23/1.49 (define @t437 () (not @t6)) % 1.23/1.49 (define @t438 () (=> @t437 @t197)) % 1.23/1.49 (define @t439 () (forall @t245 (=> @t422 @t438))) % 1.23/1.49 (define @t440 () (= tptp.subsetE2 @t439)) % 1.23/1.49 (define @t441 () (not @t422)) % 1.23/1.49 (define @t442 () (=> @t437 @t441)) % 1.23/1.49 (define @t443 () (forall @t245 (=> @t7 @t442))) % 1.23/1.49 (define @t444 () (= tptp.notsubsetI @t443)) % 1.23/1.49 (define @t445 () (not @t3)) % 1.23/1.49 (define @t446 () (forall @t12 (=> @t441 @t445))) % 1.23/1.49 (define @t447 () (= tptp.notequalI1 @t446)) % 1.23/1.49 (define @t448 () (=> @t437 @t445)) % 1.23/1.49 (define @t449 () (forall @t245 (=> @t7 @t448))) % 1.23/1.49 (define @t450 () (= tptp.notequalI2 @t449)) % 1.23/1.49 (define @t451 () (_ @t421 @t2)) % 1.23/1.49 (define @t452 () (forall @t64 @t451)) % 1.23/1.49 (define @t453 () (= tptp.subsetRefl @t452)) % 1.23/1.49 (define @t454 () (_ @t421 @t104)) % 1.23/1.49 (define @t455 () (_ @t426 @t104)) % 1.23/1.49 (define @t456 () (=> @t455 @t454)) % 1.23/1.49 (define @t457 () (@list @t2 @t1 @t104)) % 1.23/1.49 (define @t458 () (forall @t457 (=> @t422 @t456))) % 1.23/1.49 (define @t459 () (= tptp.subsetTrans @t458)) % 1.23/1.49 (define @t460 () (_ @t421 @t25)) % 1.23/1.49 (define @t461 () (@list @t4 @t2)) % 1.23/1.49 (define @t462 () (forall @t461 @t460)) % 1.23/1.49 (define @t463 () (= tptp.setadjoinSub @t462)) % 1.23/1.49 (define @t464 () (_ @t24 @t1)) % 1.23/1.49 (define @t465 () (_ @t421 @t464)) % 1.23/1.49 (define @t466 () (forall @t249 (=> @t422 @t465))) % 1.23/1.49 (define @t467 () (= tptp.setadjoinSub2 @t466)) % 1.23/1.49 (define @t468 () (_ tptp.in @t2)) % 1.23/1.49 (define @t469 () (_ @t468 @t393)) % 1.23/1.49 (define @t470 () (forall @t12 (=> @t422 @t469))) % 1.23/1.49 (define @t471 () (= tptp.subset2powerset @t470)) % 1.23/1.49 (define @t472 () (=> @t427 @t3)) % 1.23/1.49 (define @t473 () (forall @t12 (=> @t422 @t472))) % 1.23/1.49 (define @t474 () (= tptp.setextsub @t473)) % 1.23/1.49 (define @t475 () (_ @t421 tptp.emptyset)) % 1.23/1.49 (define @t476 () (forall @t64 (=> @t475 @t196))) % 1.23/1.49 (define @t477 () (= tptp.subsetemptysetimpeq @t476)) % 1.23/1.49 (define @t478 () (forall @t12 (=> @t427 @t35))) % 1.23/1.49 (define @t479 () (= tptp.powersetI1 @t478)) % 1.23/1.49 (define @t480 () (forall @t12 (=> @t35 @t427))) % 1.23/1.49 (define @t481 () (= tptp.powersetE1 @t480)) % 1.23/1.49 (define @t482 () (_ @t468 @t33)) % 1.23/1.49 (define @t483 () (forall @t64 @t482)) % 1.23/1.49 (define @t484 () (= tptp.inPowerset @t483)) % 1.23/1.49 (define @t485 () (_ (_ tptp.subset @t33) @t393)) % 1.23/1.49 (define @t486 () (forall @t12 (=> @t422 @t485))) % 1.23/1.49 (define @t487 () (= tptp.powersetsubset @t486)) % 1.23/1.49 (define @t488 () (_ (_ tptp.in @t306) @t33)) % 1.23/1.49 (define @t489 () (forall @t311 @t488)) % 1.23/1.49 (define @t490 () (= tptp.sepInPowerset @t489)) % 1.23/1.49 (define @t491 () (_ (_ tptp.subset @t306) @t2)) % 1.23/1.49 (define @t492 () (forall @t311 @t491)) % 1.23/1.49 (define @t493 () (= tptp.sepSubset @t492)) % 1.23/1.49 (define @t494 () (_ (_ tptp.binunion @t2) @t1)) % 1.23/1.49 (define @t495 () (_ @t5 @t494)) % 1.23/1.49 (define @t496 () (forall @t245 (=> @t7 @t495))) % 1.23/1.49 (define @t497 () (= tptp.binunionIL @t496)) % 1.23/1.49 (define @t498 () (forall @t245 (=> @t6 @t495))) % 1.23/1.49 (define @t499 () (= tptp.binunionIR @t498)) % 1.23/1.49 (define @t500 () (=> @t6 @t173)) % 1.23/1.49 (define @t501 () (=> @t500 @t173)) % 1.23/1.49 (define @t502 () (=> @t7 @t173)) % 1.23/1.49 (define @t503 () (=> @t502 @t501)) % 1.23/1.49 (define @t504 () (@list @t2 @t1 @t4 @t173)) % 1.23/1.49 (define @t505 () (forall @t504 (=> @t495 @t503))) % 1.23/1.49 (define @t506 () (= tptp.binunionEcases @t505)) % 1.23/1.49 (define @t507 () (or @t7 @t6)) % 1.23/1.49 (define @t508 () (forall @t245 (=> @t495 @t507))) % 1.23/1.49 (define @t509 () (= tptp.binunionE @t508)) % 1.23/1.49 (define @t510 () (_ @t421 @t494)) % 1.23/1.49 (define @t511 () (forall @t12 @t510)) % 1.23/1.49 (define @t512 () (= tptp.binunionLsub @t511)) % 1.23/1.49 (define @t513 () (_ @t426 @t494)) % 1.23/1.49 (define @t514 () (forall @t12 @t513)) % 1.23/1.49 (define @t515 () (= tptp.binunionRsub @t514)) % 1.23/1.49 (define @t516 () (_ tptp.binintersect @t2)) % 1.23/1.49 (define @t517 () (_ @t516 @t1)) % 1.23/1.49 (define @t518 () (_ @t5 @t517)) % 1.23/1.49 (define @t519 () (=> @t6 @t518)) % 1.23/1.49 (define @t520 () (forall @t245 (=> @t7 @t519))) % 1.23/1.49 (define @t521 () (= tptp.binintersectI @t520)) % 1.23/1.49 (define @t522 () (_ tptp.subset @t104)) % 1.23/1.49 (define @t523 () (_ @t522 @t517)) % 1.23/1.49 (define @t524 () (_ @t522 @t1)) % 1.23/1.49 (define @t525 () (=> @t524 @t523)) % 1.23/1.49 (define @t526 () (_ @t522 @t2)) % 1.23/1.49 (define @t527 () (forall @t457 (=> @t526 @t525))) % 1.23/1.49 (define @t528 () (= tptp.binintersectSubset5 @t527)) % 1.23/1.49 (define @t529 () (forall @t245 (=> @t518 @t7))) % 1.23/1.49 (define @t530 () (= tptp.binintersectEL @t529)) % 1.23/1.49 (define @t531 () (_ tptp.subset @t517)) % 1.23/1.49 (define @t532 () (_ @t531 @t2)) % 1.23/1.49 (define @t533 () (forall @t12 @t532)) % 1.23/1.49 (define @t534 () (= tptp.binintersectLsub @t533)) % 1.23/1.49 (define @t535 () (= @t517 @t2)) % 1.23/1.49 (define @t536 () (=> @t422 @t535)) % 1.23/1.49 (define @t537 () (forall @t12 @t536)) % 1.23/1.49 (define @t538 () (= tptp.binintersectSubset2 @t537)) % 1.23/1.49 (define @t539 () (= @t517 @t1)) % 1.23/1.49 (define @t540 () (=> @t539 @t427)) % 1.23/1.49 (define @t541 () (forall @t12 @t540)) % 1.23/1.49 (define @t542 () (= tptp.binintersectSubset3 @t541)) % 1.23/1.49 (define @t543 () (forall @t245 (=> @t518 @t6))) % 1.23/1.49 (define @t544 () (= tptp.binintersectER @t543)) % 1.23/1.49 (define @t545 () (and @t7 @t6)) % 1.23/1.49 (define @t546 () (exists @t9 @t545)) % 1.23/1.49 (define @t547 () (not @t546)) % 1.23/1.49 (define @t548 () (=> @t547 (= @t517 tptp.emptyset))) % 1.23/1.49 (define @t549 () (forall @t12 @t548)) % 1.23/1.49 (define @t550 () (= tptp.disjointsetsI1 @t549)) % 1.23/1.49 (define @t551 () (_ @t531 @t1)) % 1.23/1.49 (define @t552 () (forall @t12 @t551)) % 1.23/1.49 (define @t553 () (= tptp.binintersectRsub @t552)) % 1.23/1.49 (define @t554 () (=> @t427 @t539)) % 1.23/1.49 (define @t555 () (forall @t12 @t554)) % 1.23/1.49 (define @t556 () (= tptp.binintersectSubset4 @t555)) % 1.23/1.49 (define @t557 () (=> @t535 @t422)) % 1.23/1.49 (define @t558 () (forall @t12 @t557)) % 1.23/1.49 (define @t559 () (= tptp.binintersectSubset1 @t558)) % 1.23/1.49 (define @t560 () (_ @t516 @t104)) % 1.23/1.49 (define @t561 () (_ (_ tptp.binunion @t517) @t560)) % 1.23/1.49 (define @t562 () (_ (_ tptp.binunion @t1) @t104)) % 1.23/1.49 (define @t563 () (_ @t516 @t562)) % 1.23/1.49 (define @t564 () (= @t563 @t561)) % 1.23/1.49 (define @t565 () (forall @t457 @t564)) % 1.23/1.49 (define @t566 () (= tptp.bs114d @t565)) % 1.23/1.49 (define @t567 () (_ tptp.setminus @t2)) % 1.23/1.49 (define @t568 () (_ @t567 @t1)) % 1.23/1.49 (define @t569 () (_ @t5 @t568)) % 1.23/1.49 (define @t570 () (=> @t437 @t569)) % 1.23/1.49 (define @t571 () (forall @t245 (=> @t7 @t570))) % 1.23/1.49 (define @t572 () (= tptp.setminusI @t571)) % 1.23/1.49 (define @t573 () (forall @t245 (=> @t569 @t7))) % 1.23/1.49 (define @t574 () (= tptp.setminusEL @t573)) % 1.23/1.49 (define @t575 () (forall @t245 (=> @t569 @t437))) % 1.23/1.49 (define @t576 () (= tptp.setminusER @t575)) % 1.23/1.49 (define @t577 () (= @t568 tptp.emptyset)) % 1.23/1.49 (define @t578 () (=> @t422 @t577)) % 1.23/1.49 (define @t579 () (forall @t12 @t578)) % 1.23/1.49 (define @t580 () (= tptp.setminusSubset2 @t579)) % 1.23/1.49 (define @t581 () (not @t569)) % 1.23/1.49 (define @t582 () (forall @t245 (=> @t581 @t191))) % 1.23/1.49 (define @t583 () (= tptp.setminusERneg @t582)) % 1.23/1.49 (define @t584 () (forall @t245 (=> @t581 @t438))) % 1.23/1.49 (define @t585 () (= tptp.setminusELneg @t584)) % 1.23/1.49 (define @t586 () (forall @t245 (=> @t197 @t581))) % 1.23/1.49 (define @t587 () (= tptp.setminusILneg @t586)) % 1.23/1.49 (define @t588 () (forall @t245 (=> @t6 @t581))) % 1.23/1.49 (define @t589 () (= tptp.setminusIRneg @t588)) % 1.23/1.49 (define @t590 () (_ (_ tptp.subset @t568) @t2)) % 1.23/1.49 (define @t591 () (forall @t12 @t590)) % 1.23/1.49 (define @t592 () (= tptp.setminusLsub @t591)) % 1.23/1.49 (define @t593 () (=> @t577 @t422)) % 1.23/1.49 (define @t594 () (forall @t12 @t593)) % 1.23/1.49 (define @t595 () (= tptp.setminusSubset1 @t594)) % 1.23/1.49 (define @t596 () (=> @t197 @t500)) % 1.23/1.49 (define @t597 () (=> @t596 @t173)) % 1.23/1.49 (define @t598 () (=> @t437 @t173)) % 1.23/1.49 (define @t599 () (=> @t7 @t598)) % 1.23/1.49 (define @t600 () (forall @t179 (=> @t599 @t597))) % 1.23/1.49 (define @t601 () (_ (_ tptp.symdiff @t2) @t1)) % 1.23/1.49 (define @t602 () (_ @t5 @t601)) % 1.23/1.49 (define @t603 () (=> @t602 @t600)) % 1.23/1.49 (define @t604 () (forall @t245 @t603)) % 1.23/1.49 (define @t605 () (= tptp.symdiffE @t604)) % 1.23/1.49 (define @t606 () (=> @t437 @t602)) % 1.23/1.49 (define @t607 () (forall @t245 (=> @t7 @t606))) % 1.23/1.49 (define @t608 () (= tptp.symdiffI1 @t607)) % 1.23/1.49 (define @t609 () (=> @t6 @t602)) % 1.23/1.49 (define @t610 () (forall @t245 (=> @t197 @t609))) % 1.23/1.49 (define @t611 () (= tptp.symdiffI2 @t610)) % 1.23/1.49 (define @t612 () (not @t602)) % 1.23/1.49 (define @t613 () (=> @t6 @t612)) % 1.23/1.49 (define @t614 () (forall @t245 (=> @t7 @t613))) % 1.23/1.49 (define @t615 () (= tptp.symdiffIneg1 @t614)) % 1.23/1.49 (define @t616 () (=> @t437 @t612)) % 1.23/1.49 (define @t617 () (forall @t245 (=> @t197 @t616))) % 1.23/1.49 (define @t618 () (= tptp.symdiffIneg2 @t617)) % 1.23/1.49 (define @t619 () (_ (_ tptp.setadjoin @t293) tptp.emptyset)) % 1.23/1.49 (define @t620 () (_ tptp.setadjoin @t279)) % 1.23/1.49 (define @t621 () (_ @t620 @t619)) % 1.23/1.49 (define @t622 () (_ tptp.setunion @t621)) % 1.23/1.49 (define @t623 () (_ @t5 @t622)) % 1.23/1.49 (define @t624 () (forall @t135 @t623)) % 1.23/1.49 (define @t625 () (= tptp.setukpairIL @t624)) % 1.23/1.49 (define @t626 () (_ @t20 @t622)) % 1.23/1.49 (define @t627 () (forall @t135 @t626)) % 1.23/1.49 (define @t628 () (= tptp.setukpairIR @t627)) % 1.23/1.49 (define @t629 () (_ tptp.iskpair @t621)) % 1.23/1.49 (define @t630 () (forall @t135 @t629)) % 1.23/1.49 (define @t631 () (= tptp.kpairiskpair @t630)) % 1.23/1.49 (define @t632 () (_ tptp.kpair @t4)) % 1.23/1.49 (define @t633 () (_ @t632 @t19)) % 1.23/1.49 (define @t634 () (_ tptp.iskpair @t633)) % 1.23/1.49 (define @t635 () (forall @t135 @t634)) % 1.23/1.49 (define @t636 () (= tptp.kpairp @t635)) % 1.23/1.49 (define @t637 () (_ (_ tptp.subset @t279) @t2)) % 1.23/1.49 (define @t638 () (forall @t46 (=> @t7 @t637))) % 1.23/1.49 (define @t639 () (= tptp.singletonsubset @t638)) % 1.23/1.49 (define @t640 () (_ tptp.in @t279)) % 1.23/1.49 (define @t641 () (_ @t640 @t33)) % 1.23/1.49 (define @t642 () (forall @t46 (=> @t7 @t641))) % 1.23/1.49 (define @t643 () (= tptp.singletoninpowerset @t642)) % 1.23/1.49 (define @t644 () (_ tptp.powerset @t494)) % 1.23/1.49 (define @t645 () (_ @t640 @t644)) % 1.23/1.49 (define @t646 () (forall @t245 (=> @t7 @t645))) % 1.23/1.49 (define @t647 () (= tptp.singletoninpowunion @t646)) % 1.23/1.49 (define @t648 () (_ (_ tptp.subset @t293) @t494)) % 1.23/1.49 (define @t649 () (forall @t70 (=> @t354 @t648))) % 1.23/1.49 (define @t650 () (=> @t7 @t649)) % 1.23/1.49 (define @t651 () (forall @t245 @t650)) % 1.23/1.49 (define @t652 () (= tptp.upairsubunion @t651)) % 1.23/1.49 (define @t653 () (_ (_ tptp.in @t293) @t644)) % 1.23/1.49 (define @t654 () (forall @t70 (=> @t354 @t653))) % 1.23/1.49 (define @t655 () (=> @t7 @t654)) % 1.23/1.49 (define @t656 () (forall @t245 @t655)) % 1.23/1.49 (define @t657 () (= tptp.upairinpowunion @t656)) % 1.23/1.49 (define @t658 () (_ (_ tptp.subset @t621) @t644)) % 1.23/1.49 (define @t659 () (forall @t70 (=> @t354 @t658))) % 1.23/1.49 (define @t660 () (=> @t7 @t659)) % 1.23/1.49 (define @t661 () (forall @t245 @t660)) % 1.23/1.49 (define @t662 () (= tptp.ubforcartprodlem1 @t661)) % 1.23/1.49 (define @t663 () (_ tptp.powerset @t644)) % 1.23/1.49 (define @t664 () (_ (_ tptp.in @t621) @t663)) % 1.23/1.49 (define @t665 () (forall @t70 (=> @t354 @t664))) % 1.23/1.49 (define @t666 () (=> @t7 @t665)) % 1.23/1.49 (define @t667 () (forall @t245 @t666)) % 1.23/1.49 (define @t668 () (= tptp.ubforcartprodlem2 @t667)) % 1.23/1.49 (define @t669 () (_ tptp.in @t633)) % 1.23/1.49 (define @t670 () (_ @t669 @t663)) % 1.23/1.49 (define @t671 () (forall @t70 (=> @t354 @t670))) % 1.23/1.49 (define @t672 () (=> @t7 @t671)) % 1.23/1.49 (define @t673 () (forall @t245 @t672)) % 1.23/1.49 (define @t674 () (= tptp.ubforcartprodlem3 @t673)) % 1.23/1.49 (define @t675 () (_ (_ tptp.cartprod @t2) @t1)) % 1.23/1.49 (define @t676 () (_ @t669 @t675)) % 1.23/1.49 (define @t677 () (forall @t70 (=> @t354 @t676))) % 1.23/1.49 (define @t678 () (=> @t7 @t677)) % 1.23/1.49 (define @t679 () (forall @t245 @t678)) % 1.23/1.49 (define @t680 () (= tptp.cartprodpairin @t679)) % 1.23/1.49 (define @t681 () (= @t383 @t633)) % 1.23/1.49 (define @t682 () (and @t354 @t681)) % 1.23/1.49 (define @t683 () (exists @t70 @t682)) % 1.23/1.49 (define @t684 () (and @t7 @t683)) % 1.23/1.49 (define @t685 () (exists @t9 @t684)) % 1.23/1.49 (define @t686 () (_ tptp.in @t383)) % 1.23/1.49 (define @t687 () (_ @t686 @t675)) % 1.23/1.49 (define @t688 () (=> @t687 @t685)) % 1.23/1.49 (define @t689 () (@list @t2 @t1 @t383)) % 1.23/1.49 (define @t690 () (forall @t689 @t688)) % 1.23/1.49 (define @t691 () (= tptp.cartprodmempair1 @t690)) % 1.23/1.49 (define @t692 () (_ tptp.iskpair @t383)) % 1.23/1.49 (define @t693 () (forall @t689 (=> @t687 @t692))) % 1.23/1.49 (define @t694 () (= tptp.cartprodmempair @t693)) % 1.23/1.49 (define @t695 () (@var "X" $$unsorted)) % 1.23/1.49 (define @t696 () (_ @t5 @t695)) % 1.23/1.49 (define @t697 () (_ tptp.in @t695)) % 1.23/1.49 (define @t698 () (_ @t697 @t2)) % 1.23/1.49 (define @t699 () (and @t698 @t696)) % 1.23/1.49 (define @t700 () (@list @t695)) % 1.23/1.49 (define @t701 () (exists @t700 @t699)) % 1.23/1.49 (define @t702 () (=> @t44 @t701)) % 1.23/1.49 (define @t703 () (forall @t46 @t702)) % 1.23/1.49 (define @t704 () (= tptp.setunionE2 @t703)) % 1.23/1.49 (define @t705 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 1.23/1.49 (define @t706 () (_ tptp.setunion @t705)) % 1.23/1.49 (define @t707 () (_ (_ tptp.subset @t706) @t2)) % 1.23/1.49 (define @t708 () (forall @t64 @t707)) % 1.23/1.49 (define @t709 () (= tptp.setunionsingleton1 @t708)) % 1.23/1.49 (define @t710 () (_ @t421 @t706)) % 1.23/1.49 (define @t711 () (forall @t64 @t710)) % 1.23/1.49 (define @t712 () (= tptp.setunionsingleton2 @t711)) % 1.23/1.49 (define @t713 () (_ tptp.setunion @t279)) % 1.23/1.49 (define @t714 () (forall @t9 (= @t713 @t4))) % 1.23/1.49 (define @t715 () (= tptp.setunionsingleton @t714)) % 1.23/1.49 (define @t716 () (_ tptp.singleton @t306)) % 1.23/1.49 (define @t717 () (=> @t309 @t716)) % 1.23/1.49 (define @t718 () (forall @t70 (=> @t21 @t345))) % 1.23/1.49 (define @t719 () (=> @t7 @t718)) % 1.23/1.49 (define @t720 () (forall @t9 @t719)) % 1.23/1.49 (define @t721 () (=> @t720 @t717)) % 1.23/1.49 (define @t722 () (forall @t311 @t721)) % 1.23/1.49 (define @t723 () (= tptp.singletonprop @t722)) % 1.23/1.49 (define @t724 () (_ tptp.ex1 @t2)) % 1.23/1.49 (define @t725 () (_ @t724 @t145)) % 1.23/1.49 (define @t726 () (=> @t725 @t309)) % 1.23/1.49 (define @t727 () (forall @t311 @t726)) % 1.23/1.49 (define @t728 () (= tptp.ex1E1 @t727)) % 1.23/1.49 (define @t729 () (=> @t153 @t22)) % 1.23/1.49 (define @t730 () (=> @t21 @t729)) % 1.23/1.49 (define @t731 () (forall @t70 @t730)) % 1.23/1.49 (define @t732 () (=> @t731 (_ @t724 @t154))) % 1.23/1.49 (define @t733 () (=> @t144 @t732)) % 1.23/1.49 (define @t734 () (=> @t7 @t733)) % 1.23/1.49 (define @t735 () (forall @t159 @t734)) % 1.23/1.49 (define @t736 () (= tptp.ex1I @t735)) % 1.23/1.49 (define @t737 () (=> @t309 @t725)) % 1.23/1.49 (define @t738 () (=> @t720 @t737)) % 1.23/1.49 (define @t739 () (forall @t311 @t738)) % 1.23/1.49 (define @t740 () (= tptp.ex1I2 @t739)) % 1.23/1.49 (define @t741 () (=> (= @t279 @t275) @t129)) % 1.23/1.49 (define @t742 () (forall @t135 @t741)) % 1.23/1.49 (define @t743 () (= tptp.singletonsuniq @t742)) % 1.23/1.49 (define @t744 () (= @t4 @t289)) % 1.23/1.49 (define @t745 () (_ tptp.setadjoin @t289)) % 1.23/1.49 (define @t746 () (_ @t745 tptp.emptyset)) % 1.23/1.49 (define @t747 () (_ (_ tptp.in @t746) @t621)) % 1.23/1.49 (define @t748 () (forall @t297 (=> @t747 @t744))) % 1.23/1.49 (define @t749 () (= tptp.setukpairinjL1 @t748)) % 1.23/1.49 (define @t750 () (_ @t640 @t383)) % 1.23/1.49 (define @t751 () (lambda @t9 @t750)) % 1.23/1.49 (define @t752 () (_ tptp.setunion @t383)) % 1.23/1.49 (define @t753 () (_ tptp.dsetconstr @t752)) % 1.23/1.49 (define @t754 () (_ @t753 @t751)) % 1.23/1.49 (define @t755 () (_ tptp.singleton @t754)) % 1.23/1.49 (define @t756 () (@list @t383)) % 1.23/1.49 (define @t757 () (forall @t756 (=> @t692 @t755))) % 1.23/1.49 (define @t758 () (= tptp.kfstsingleton @t757)) % 1.23/1.49 (define @t759 () (_ tptp.setunion @t695)) % 1.23/1.49 (define @t760 () (_ (_ tptp.in @t759) @t695)) % 1.23/1.49 (define @t761 () (_ tptp.singleton @t695)) % 1.23/1.49 (define @t762 () (forall @t700 (=> @t761 @t760))) % 1.23/1.49 (define @t763 () (= tptp.theprop @t762)) % 1.23/1.49 (define @t764 () (_ tptp.kfst @t633)) % 1.23/1.49 (define @t765 () (= @t764 @t4)) % 1.23/1.49 (define @t766 () (forall @t135 @t765)) % 1.23/1.49 (define @t767 () (= tptp.kfstpairEq @t766)) % 1.23/1.49 (define @t768 () (_ tptp.kfst @t383)) % 1.23/1.49 (define @t769 () (_ (_ tptp.in @t768) @t2)) % 1.23/1.49 (define @t770 () (forall @t689 (=> @t687 @t769))) % 1.23/1.49 (define @t771 () (= tptp.cartprodfstin @t770)) % 1.23/1.49 (define @t772 () (_ (_ tptp.setadjoin @t383) tptp.emptyset)) % 1.23/1.49 (define @t773 () (_ @t745 @t772)) % 1.23/1.49 (define @t774 () (_ (_ tptp.setadjoin @t773) tptp.emptyset)) % 1.23/1.49 (define @t775 () (_ (_ tptp.setadjoin @t746) @t774)) % 1.23/1.49 (define @t776 () (= @t621 @t775)) % 1.23/1.49 (define @t777 () (@list @t4 @t19 @t289 @t383)) % 1.23/1.49 (define @t778 () (forall @t777 (=> @t776 @t744))) % 1.23/1.49 (define @t779 () (= tptp.setukpairinjL2 @t778)) % 1.23/1.49 (define @t780 () (_ (_ tptp.kpair @t289) @t383)) % 1.23/1.49 (define @t781 () (= @t633 @t780)) % 1.23/1.49 (define @t782 () (forall @t777 (=> @t781 @t744))) % 1.23/1.49 (define @t783 () (= tptp.setukpairinjL @t782)) % 1.23/1.49 (define @t784 () (=> @t129 (= @t293 @t279))) % 1.23/1.49 (define @t785 () (forall @t135 @t784)) % 1.23/1.49 (define @t786 () (= tptp.setukpairinjR11 @t785)) % 1.23/1.49 (define @t787 () (_ @t620 tptp.emptyset)) % 1.23/1.49 (define @t788 () (= @t621 @t787)) % 1.23/1.49 (define @t789 () (forall @t135 (=> @t129 @t788))) % 1.23/1.49 (define @t790 () (= tptp.setukpairinjR12 @t789)) % 1.23/1.49 (define @t791 () (= @t19 @t383)) % 1.23/1.49 (define @t792 () (=> @t387 @t791)) % 1.23/1.49 (define @t793 () (forall @t777 (=> @t776 @t792))) % 1.23/1.49 (define @t794 () (= tptp.setukpairinjR1 @t793)) % 1.23/1.49 (define @t795 () (= @t293 @t746)) % 1.23/1.49 (define @t796 () (forall @t297 (=> @t795 @t129))) % 1.23/1.49 (define @t797 () (= tptp.upairequniteq @t796)) % 1.23/1.49 (define @t798 () (forall @t777 (=> @t776 @t791))) % 1.23/1.49 (define @t799 () (= tptp.setukpairinjR2 @t798)) % 1.23/1.49 (define @t800 () (forall @t777 (=> @t781 @t791))) % 1.23/1.49 (define @t801 () (= tptp.setukpairinjR @t800)) % 1.23/1.49 (define @t802 () (_ tptp.kpair @t768)) % 1.23/1.49 (define @t803 () (_ @t802 @t4)) % 1.23/1.49 (define @t804 () (= @t383 @t803)) % 1.23/1.49 (define @t805 () (lambda @t9 @t804)) % 1.23/1.49 (define @t806 () (_ @t753 @t805)) % 1.23/1.49 (define @t807 () (_ tptp.singleton @t806)) % 1.23/1.49 (define @t808 () (forall @t756 (=> @t692 @t807))) % 1.23/1.49 (define @t809 () (= tptp.ksndsingleton @t808)) % 1.23/1.49 (define @t810 () (_ tptp.ksnd @t633)) % 1.23/1.49 (define @t811 () (= @t810 @t19)) % 1.23/1.49 (define @t812 () (forall @t135 @t811)) % 1.23/1.49 (define @t813 () (= tptp.ksndpairEq @t812)) % 1.23/1.49 (define @t814 () (_ tptp.ksnd @t383)) % 1.23/1.49 (define @t815 () (_ @t802 @t814)) % 1.23/1.49 (define @t816 () (= @t815 @t383)) % 1.23/1.49 (define @t817 () (=> @t692 @t816)) % 1.23/1.49 (define @t818 () (forall @t756 @t817)) % 1.23/1.49 (define @t819 () (= tptp.kpairsurjEq @t818)) % 1.23/1.49 (define @t820 () (_ (_ tptp.in @t814) @t1)) % 1.23/1.49 (define @t821 () (forall @t689 (=> @t687 @t820))) % 1.23/1.49 (define @t822 () (= tptp.cartprodsndin @t821)) % 1.23/1.49 (define @t823 () (@list @t2 @t1 @t4 @t19)) % 1.23/1.49 (define @t824 () (forall @t823 (=> @t676 @t7))) % 1.23/1.49 (define @t825 () (= tptp.cartprodpairmemEL @t824)) % 1.23/1.49 (define @t826 () (forall @t823 (=> @t676 @t354))) % 1.23/1.49 (define @t827 () (= tptp.cartprodpairmemER @t826)) % 1.23/1.49 (define @t828 () (=> @t354 (= @t633 @t633))) % 1.23/1.49 (define @t829 () (forall @t70 @t828)) % 1.23/1.49 (define @t830 () (=> @t7 @t829)) % 1.23/1.49 (define @t831 () (forall @t245 @t830)) % 1.23/1.49 (define @t832 () (= tptp.cartprodmempaircEq @t831)) % 1.23/1.49 (define @t833 () (=> @t354 @t765)) % 1.23/1.49 (define @t834 () (forall @t70 @t833)) % 1.23/1.49 (define @t835 () (=> @t7 @t834)) % 1.23/1.49 (define @t836 () (forall @t245 @t835)) % 1.23/1.49 (define @t837 () (= tptp.cartprodfstpairEq @t836)) % 1.23/1.49 (define @t838 () (=> @t354 @t811)) % 1.23/1.49 (define @t839 () (forall @t70 @t838)) % 1.23/1.49 (define @t840 () (=> @t7 @t839)) % 1.23/1.49 (define @t841 () (forall @t245 @t840)) % 1.23/1.49 (define @t842 () (= tptp.cartprodsndpairEq @t841)) % 1.23/1.49 (define @t843 () (=> @t687 @t816)) % 1.23/1.49 (define @t844 () (forall @t689 @t843)) % 1.23/1.49 (define @t845 () (= tptp.cartprodpairsurjEq @t844)) % 1.23/1.49 (define @t846 () (_ (_ @t67 @t289) @t383)) % 1.23/1.49 (define @t847 () (lambda @t388 @t846)) % 1.23/1.49 (define @t848 () (_ (_ tptp.dpsetconstr @t2) @t1)) % 1.23/1.49 (define @t849 () (_ @t848 @t847)) % 1.23/1.49 (define @t850 () (_ @t669 @t849)) % 1.23/1.49 (define @t851 () (=> @t76 @t850)) % 1.23/1.49 (define @t852 () (forall @t70 (=> @t354 @t851))) % 1.23/1.49 (define @t853 () (=> @t7 @t852)) % 1.23/1.49 (define @t854 () (@list @t2 @t1 @t67 @t4)) % 1.23/1.49 (define @t855 () (forall @t854 @t853)) % 1.23/1.49 (define @t856 () (= tptp.dpsetconstrI @t855)) % 1.23/1.49 (define @t857 () (lambda @t135 @t76)) % 1.23/1.49 (define @t858 () (_ @t848 @t857)) % 1.23/1.49 (define @t859 () (_ (_ tptp.subset @t858) @t675)) % 1.23/1.49 (define @t860 () (@list @t2 @t1 @t67)) % 1.23/1.49 (define @t861 () (forall @t860 @t859)) % 1.23/1.49 (define @t862 () (= tptp.dpsetconstrSub @t861)) % 1.23/1.49 (define @t863 () (_ (_ tptp.breln @t2) @t1)) % 1.23/1.49 (define @t864 () (forall @t860 (_ @t863 @t858))) % 1.23/1.49 (define @t865 () (= tptp.setOfPairsIsBReln @t864)) % 1.23/1.49 (define @t866 () (=> @t850 @t76)) % 1.23/1.49 (define @t867 () (forall @t70 (=> @t354 @t866))) % 1.23/1.49 (define @t868 () (=> @t7 @t867)) % 1.23/1.49 (define @t869 () (forall @t854 @t868)) % 1.23/1.49 (define @t870 () (= tptp.dpsetconstrERa @t869)) % 1.23/1.49 (define @t871 () (@list @t2 @t1 @t67 @t4 @t19)) % 1.23/1.49 (define @t872 () (forall @t871 (=> @t850 @t7))) % 1.23/1.49 (define @t873 () (= tptp.dpsetconstrEL1 @t872)) % 1.23/1.49 (define @t874 () (forall @t871 (=> @t850 @t354))) % 1.23/1.49 (define @t875 () (= tptp.dpsetconstrEL2 @t874)) % 1.23/1.49 (define @t876 () (forall @t871 @t866)) % 1.23/1.49 (define @t877 () (= tptp.dpsetconstrER @t876)) % 1.23/1.49 (define @t878 () (@var "Xf" $$unsorted)) % 1.23/1.49 (define @t879 () (_ @t669 @t878)) % 1.23/1.49 (define @t880 () (lambda @t70 @t879)) % 1.23/1.49 (define @t881 () (_ @t410 @t880)) % 1.23/1.49 (define @t882 () (_ tptp.singleton @t881)) % 1.23/1.49 (define @t883 () (forall @t9 (=> @t7 @t882))) % 1.23/1.49 (define @t884 () (_ (_ tptp.func @t2) @t1)) % 1.23/1.49 (define @t885 () (_ @t884 @t878)) % 1.23/1.49 (define @t886 () (=> @t885 @t883)) % 1.23/1.49 (define @t887 () (@list @t2 @t1 @t878)) % 1.23/1.49 (define @t888 () (forall @t887 @t886)) % 1.23/1.49 (define @t889 () (= tptp.funcImageSingleton @t888)) % 1.23/1.49 (define @t890 () (_ tptp.setunion @t881)) % 1.23/1.49 (define @t891 () (_ (_ tptp.in @t890) @t1)) % 1.23/1.49 (define @t892 () (forall @t9 (=> @t7 @t891))) % 1.23/1.49 (define @t893 () (=> @t885 @t892)) % 1.23/1.49 (define @t894 () (forall @t887 @t893)) % 1.23/1.49 (define @t895 () (= tptp.apProp @t894)) % 1.23/1.49 (define @t896 () (_ (_ tptp.ap @t2) @t1)) % 1.23/1.49 (define @t897 () (_ (_ @t896 @t878) @t4)) % 1.23/1.49 (define @t898 () (_ (_ tptp.in @t897) @t1)) % 1.23/1.49 (define @t899 () (forall @t9 (=> @t7 @t898))) % 1.23/1.49 (define @t900 () (=> @t885 @t899)) % 1.23/1.49 (define @t901 () (forall @t887 @t900)) % 1.23/1.49 (define @t902 () (= tptp.app @t901)) % 1.23/1.49 (define @t903 () (_ (_ tptp.funcSet @t2) @t1)) % 1.23/1.49 (define @t904 () (_ tptp.in @t878)) % 1.23/1.49 (define @t905 () (_ @t904 @t903)) % 1.23/1.49 (define @t906 () (forall @t887 (=> @t905 @t885))) % 1.23/1.49 (define @t907 () (= tptp.infuncsetfunc @t906)) % 1.23/1.49 (define @t908 () (=> @t905 @t899)) % 1.23/1.49 (define @t909 () (forall @t887 @t908)) % 1.23/1.49 (define @t910 () (= tptp.ap2p @t909)) % 1.23/1.49 (define @t911 () (forall @t887 (=> @t885 @t905))) % 1.23/1.49 (define @t912 () (= tptp.funcinfuncset @t911)) % 1.23/1.49 (define @t913 () (@var "Xf" (-> $$unsorted $$unsorted))) % 1.23/1.49 (define @t914 () (_ @t913 @t4)) % 1.23/1.49 (define @t915 () (lambda @t135 (= @t914 @t19))) % 1.23/1.49 (define @t916 () (_ (_ tptp.in @t914) @t1)) % 1.23/1.49 (define @t917 () (forall @t9 (=> @t7 @t916))) % 1.23/1.49 (define @t918 () (=> @t917 (_ @t884 (_ @t848 @t915)))) % 1.23/1.49 (define @t919 () (@list @t2 @t1 @t913)) % 1.23/1.49 (define @t920 () (forall @t919 @t918)) % 1.23/1.49 (define @t921 () (= tptp.lamProp @t920)) % 1.23/1.49 (define @t922 () (lambda @t9 @t914)) % 1.23/1.49 (define @t923 () (_ (_ tptp.lam @t2) @t1)) % 1.23/1.49 (define @t924 () (_ @t923 @t922)) % 1.23/1.49 (define @t925 () (_ @t884 @t924)) % 1.23/1.49 (define @t926 () (=> @t917 @t925)) % 1.23/1.49 (define @t927 () (forall @t919 @t926)) % 1.23/1.49 (define @t928 () (= tptp.lamp @t927)) % 1.23/1.49 (define @t929 () (_ (_ tptp.in @t924) @t903)) % 1.23/1.49 (define @t930 () (=> @t917 @t929)) % 1.23/1.49 (define @t931 () (forall @t919 @t930)) % 1.23/1.49 (define @t932 () (= tptp.lam2p @t931)) % 1.23/1.49 (define @t933 () (@var "R" $$unsorted)) % 1.23/1.49 (define @t934 () (_ @t5 @t933)) % 1.23/1.49 (define @t935 () (forall @t9 (=> @t934 @t144))) % 1.23/1.49 (define @t936 () (_ @t143 @t633)) % 1.23/1.49 (define @t937 () (_ @t669 @t933)) % 1.23/1.49 (define @t938 () (=> @t937 @t936)) % 1.23/1.49 (define @t939 () (forall @t70 (=> @t354 @t938))) % 1.23/1.49 (define @t940 () (=> @t7 @t939)) % 1.23/1.49 (define @t941 () (forall @t9 @t940)) % 1.23/1.49 (define @t942 () (=> @t941 @t935)) % 1.23/1.49 (define @t943 () (forall @t150 @t942)) % 1.23/1.49 (define @t944 () (_ @t863 @t933)) % 1.23/1.49 (define @t945 () (=> @t944 @t943)) % 1.23/1.49 (define @t946 () (@list @t2 @t1 @t933)) % 1.23/1.49 (define @t947 () (forall @t946 @t945)) % 1.23/1.49 (define @t948 () (= tptp.brelnall1 @t947)) % 1.23/1.49 (define @t949 () (= tptp.brelnall2 @t947)) % 1.23/1.49 (define @t950 () (=> @t725 @t720)) % 1.23/1.49 (define @t951 () (forall @t311 @t950)) % 1.23/1.49 (define @t952 () (= tptp.ex1E2 @t951)) % 1.23/1.49 (define @t953 () (_ @t632 @t897)) % 1.23/1.49 (define @t954 () (_ (_ tptp.in @t953) @t878)) % 1.23/1.49 (define @t955 () (forall @t9 (=> @t7 @t954))) % 1.23/1.49 (define @t956 () (=> @t885 @t955)) % 1.23/1.49 (define @t957 () (forall @t887 @t956)) % 1.23/1.49 (define @t958 () (= tptp.funcGraphProp1 @t957)) % 1.23/1.49 (define @t959 () (=> @t905 @t955)) % 1.23/1.49 (define @t960 () (forall @t887 @t959)) % 1.23/1.49 (define @t961 () (= tptp.funcGraphProp3 @t960)) % 1.23/1.49 (define @t962 () (=> @t879 (= @t897 @t19))) % 1.23/1.49 (define @t963 () (=> @t354 @t962)) % 1.23/1.49 (define @t964 () (forall @t70 @t963)) % 1.23/1.49 (define @t965 () (=> @t7 @t964)) % 1.23/1.49 (define @t966 () (forall @t9 @t965)) % 1.23/1.49 (define @t967 () (=> @t885 @t966)) % 1.23/1.49 (define @t968 () (forall @t887 @t967)) % 1.23/1.49 (define @t969 () (= tptp.funcGraphProp2 @t968)) % 1.23/1.49 (define @t970 () (@var "Xg" $$unsorted)) % 1.23/1.49 (define @t971 () (_ @t669 @t970)) % 1.23/1.49 (define @t972 () (=> @t971 @t879)) % 1.23/1.49 (define @t973 () (forall @t70 (=> @t354 @t972))) % 1.23/1.49 (define @t974 () (=> @t7 @t973)) % 1.23/1.49 (define @t975 () (forall @t9 @t974)) % 1.23/1.49 (define @t976 () (_ (_ @t896 @t970) @t4)) % 1.23/1.49 (define @t977 () (= @t897 @t976)) % 1.23/1.49 (define @t978 () (forall @t9 (=> @t7 @t977))) % 1.23/1.49 (define @t979 () (=> @t978 @t975)) % 1.23/1.49 (define @t980 () (_ @t884 @t970)) % 1.23/1.49 (define @t981 () (=> @t980 @t979)) % 1.23/1.49 (define @t982 () (@list @t970)) % 1.23/1.49 (define @t983 () (forall @t982 @t981)) % 1.23/1.49 (define @t984 () (=> @t885 @t983)) % 1.23/1.49 (define @t985 () (forall @t887 @t984)) % 1.23/1.49 (define @t986 () (= tptp.funcextLem @t985)) % 1.23/1.49 (define @t987 () (=> @t905 @t966)) % 1.23/1.49 (define @t988 () (forall @t887 @t987)) % 1.23/1.49 (define @t989 () (= tptp.funcGraphProp4 @t988)) % 1.23/1.49 (define @t990 () (@var "S" $$unsorted)) % 1.23/1.49 (define @t991 () (_ tptp.subset @t933)) % 1.23/1.49 (define @t992 () (_ @t991 @t990)) % 1.23/1.49 (define @t993 () (_ @t669 @t990)) % 1.23/1.49 (define @t994 () (=> @t937 @t993)) % 1.23/1.49 (define @t995 () (forall @t70 (=> @t354 @t994))) % 1.23/1.49 (define @t996 () (=> @t7 @t995)) % 1.23/1.49 (define @t997 () (forall @t9 @t996)) % 1.23/1.49 (define @t998 () (=> @t997 @t992)) % 1.23/1.49 (define @t999 () (_ @t863 @t990)) % 1.23/1.49 (define @t1000 () (=> @t999 @t998)) % 1.23/1.49 (define @t1001 () (@list @t990)) % 1.23/1.49 (define @t1002 () (forall @t1001 @t1000)) % 1.23/1.49 (define @t1003 () (=> @t944 @t1002)) % 1.23/1.49 (define @t1004 () (forall @t946 @t1003)) % 1.23/1.49 (define @t1005 () (= tptp.subbreln @t1004)) % 1.23/1.49 (define @t1006 () (= @t933 @t990)) % 1.23/1.49 (define @t1007 () (=> @t993 @t937)) % 1.23/1.49 (define @t1008 () (forall @t70 (=> @t354 @t1007))) % 1.23/1.49 (define @t1009 () (=> @t7 @t1008)) % 1.23/1.49 (define @t1010 () (forall @t9 @t1009)) % 1.23/1.49 (define @t1011 () (=> @t1010 @t1006)) % 1.23/1.49 (define @t1012 () (=> @t997 @t1011)) % 1.23/1.49 (define @t1013 () (=> @t999 @t1012)) % 1.23/1.49 (define @t1014 () (forall @t1001 @t1013)) % 1.23/1.49 (define @t1015 () (=> @t944 @t1014)) % 1.23/1.49 (define @t1016 () (forall @t946 @t1015)) % 1.23/1.49 (define @t1017 () (= tptp.eqbreln @t1016)) % 1.23/1.49 (define @t1018 () (= @t878 @t970)) % 1.23/1.49 (define @t1019 () (=> @t978 @t1018)) % 1.23/1.49 (define @t1020 () (=> @t980 @t1019)) % 1.23/1.49 (define @t1021 () (forall @t982 @t1020)) % 1.23/1.49 (define @t1022 () (=> @t885 @t1021)) % 1.23/1.49 (define @t1023 () (forall @t887 @t1022)) % 1.23/1.49 (define @t1024 () (= tptp.funcext @t1023)) % 1.23/1.49 (define @t1025 () (_ tptp.in @t970)) % 1.23/1.49 (define @t1026 () (_ @t1025 @t903)) % 1.23/1.49 (define @t1027 () (=> @t1026 @t1019)) % 1.23/1.49 (define @t1028 () (forall @t982 @t1027)) % 1.23/1.49 (define @t1029 () (=> @t905 @t1028)) % 1.23/1.49 (define @t1030 () (forall @t887 @t1029)) % 1.23/1.49 (define @t1031 () (= tptp.funcext2 @t1030)) % 1.23/1.49 (define @t1032 () (=> @t7 (= @t897 @t897))) % 1.23/1.49 (define @t1033 () (forall @t9 @t1032)) % 1.23/1.49 (define @t1034 () (=> @t905 @t1033)) % 1.23/1.49 (define @t1035 () (forall @t887 @t1034)) % 1.23/1.49 (define @t1036 () (= tptp.ap2apEq1 @t1035)) % 1.23/1.49 (define @t1037 () (=> @t885 @t1033)) % 1.23/1.49 (define @t1038 () (forall @t887 @t1037)) % 1.23/1.49 (define @t1039 () (= tptp.ap2apEq2 @t1038)) % 1.23/1.49 (define @t1040 () (_ @t913 @t19)) % 1.23/1.49 (define @t1041 () (lambda @t70 @t1040)) % 1.23/1.49 (define @t1042 () (_ @t923 @t1041)) % 1.23/1.49 (define @t1043 () (_ (_ @t896 @t1042) @t4)) % 1.23/1.49 (define @t1044 () (=> @t7 (= @t1043 @t914))) % 1.23/1.49 (define @t1045 () (forall @t9 @t1044)) % 1.23/1.49 (define @t1046 () (=> @t917 @t1045)) % 1.23/1.49 (define @t1047 () (forall @t919 @t1046)) % 1.23/1.49 (define @t1048 () (= tptp.beta1 @t1047)) % 1.23/1.49 (define @t1049 () (lambda @t9 @t897)) % 1.23/1.49 (define @t1050 () (_ @t923 @t1049)) % 1.23/1.49 (define @t1051 () (= @t1050 @t878)) % 1.23/1.49 (define @t1052 () (=> @t885 @t1051)) % 1.23/1.49 (define @t1053 () (forall @t887 @t1052)) % 1.23/1.49 (define @t1054 () (= tptp.eta1 @t1053)) % 1.23/1.49 (define @t1055 () (=> @t917 (= @t924 @t924))) % 1.23/1.49 (define @t1056 () (forall @t919 @t1055)) % 1.23/1.49 (define @t1057 () (= tptp.lam2lamEq @t1056)) % 1.23/1.49 (define @t1058 () (=> @t905 @t1051)) % 1.23/1.49 (define @t1059 () (forall @t887 @t1058)) % 1.23/1.49 (define @t1060 () (= tptp.eta2 @t1059)) % 1.23/1.49 (define @t1061 () (not @t173)) % 1.23/1.49 (define @t1062 () (and @t1061 @t290)) % 1.23/1.49 (define @t1063 () (and @t173 @t291)) % 1.23/1.49 (define @t1064 () (or @t1063 @t1062)) % 1.23/1.49 (define @t1065 () (@list @t289)) % 1.23/1.49 (define @t1066 () (lambda @t1065 @t1064)) % 1.23/1.49 (define @t1067 () (_ @t155 @t1066)) % 1.23/1.49 (define @t1068 () (=> @t1061 (_ @t20 @t1067))) % 1.23/1.49 (define @t1069 () (=> @t21 @t1068)) % 1.23/1.49 (define @t1070 () (forall @t70 @t1069)) % 1.23/1.49 (define @t1071 () (=> @t7 @t1070)) % 1.23/1.49 (define @t1072 () (@list @t2 @t173 @t4)) % 1.23/1.49 (define @t1073 () (forall @t1072 @t1071)) % 1.23/1.49 (define @t1074 () (= tptp.iffalseProp1 @t1073)) % 1.23/1.49 (define @t1075 () (= @t1067 @t275)) % 1.23/1.49 (define @t1076 () (=> @t1061 @t1075)) % 1.23/1.49 (define @t1077 () (=> @t21 @t1076)) % 1.23/1.49 (define @t1078 () (forall @t70 @t1077)) % 1.23/1.49 (define @t1079 () (=> @t7 @t1078)) % 1.23/1.49 (define @t1080 () (forall @t1072 @t1079)) % 1.23/1.49 (define @t1081 () (= tptp.iffalseProp2 @t1080)) % 1.23/1.49 (define @t1082 () (=> @t173 (_ @t5 @t1067))) % 1.23/1.49 (define @t1083 () (=> @t21 @t1082)) % 1.23/1.49 (define @t1084 () (forall @t70 @t1083)) % 1.23/1.49 (define @t1085 () (=> @t7 @t1084)) % 1.23/1.49 (define @t1086 () (forall @t1072 @t1085)) % 1.23/1.49 (define @t1087 () (= tptp.iftrueProp1 @t1086)) % 1.23/1.49 (define @t1088 () (= @t1067 @t279)) % 1.23/1.49 (define @t1089 () (=> @t173 @t1088)) % 1.23/1.49 (define @t1090 () (=> @t21 @t1089)) % 1.23/1.49 (define @t1091 () (forall @t70 @t1090)) % 1.23/1.49 (define @t1092 () (=> @t7 @t1091)) % 1.23/1.49 (define @t1093 () (forall @t1072 @t1092)) % 1.23/1.49 (define @t1094 () (= tptp.iftrueProp2 @t1093)) % 1.23/1.49 (define @t1095 () (=> @t21 (_ tptp.singleton @t1067))) % 1.23/1.49 (define @t1096 () (forall @t70 @t1095)) % 1.23/1.49 (define @t1097 () (=> @t7 @t1096)) % 1.23/1.49 (define @t1098 () (forall @t1072 @t1097)) % 1.23/1.49 (define @t1099 () (= tptp.ifSingleton @t1098)) % 1.23/1.49 (define @t1100 () (_ (_ (_ (_ tptp.if @t2) @t173) @t4) @t19)) % 1.23/1.49 (define @t1101 () (_ tptp.in @t1100)) % 1.23/1.49 (define @t1102 () (_ @t1101 @t2)) % 1.23/1.49 (define @t1103 () (forall @t70 (=> @t21 @t1102))) % 1.23/1.49 (define @t1104 () (=> @t7 @t1103)) % 1.23/1.49 (define @t1105 () (forall @t1072 @t1104)) % 1.23/1.49 (define @t1106 () (= tptp.ifp @t1105)) % 1.23/1.49 (define @t1107 () (=> @t696 (= @t759 @t4))) % 1.23/1.49 (define @t1108 () (forall @t9 @t1107)) % 1.23/1.49 (define @t1109 () (=> @t761 @t1108)) % 1.23/1.49 (define @t1110 () (forall @t700 @t1109)) % 1.23/1.49 (define @t1111 () (= tptp.theeq @t1110)) % 1.23/1.49 (define @t1112 () (=> @t173 (= @t1100 @t4))) % 1.23/1.49 (define @t1113 () (=> @t21 @t1112)) % 1.23/1.49 (define @t1114 () (forall @t70 @t1113)) % 1.23/1.49 (define @t1115 () (=> @t7 @t1114)) % 1.23/1.49 (define @t1116 () (forall @t1072 @t1115)) % 1.23/1.49 (define @t1117 () (= tptp.iftrue @t1116)) % 1.23/1.49 (define @t1118 () (=> @t1061 (= @t1100 @t19))) % 1.23/1.49 (define @t1119 () (=> @t21 @t1118)) % 1.23/1.49 (define @t1120 () (forall @t70 @t1119)) % 1.23/1.49 (define @t1121 () (=> @t7 @t1120)) % 1.23/1.49 (define @t1122 () (forall @t1072 @t1121)) % 1.23/1.49 (define @t1123 () (= tptp.iffalse @t1122)) % 1.23/1.49 (define @t1124 () (_ @t1101 @t293)) % 1.23/1.49 (define @t1125 () (forall @t70 (=> @t21 @t1124))) % 1.23/1.49 (define @t1126 () (=> @t7 @t1125)) % 1.23/1.49 (define @t1127 () (forall @t1072 @t1126)) % 1.23/1.49 (define @t1128 () (= tptp.iftrueorfalse @t1127)) % 1.23/1.49 (define @t1129 () (@var "Y" $$unsorted)) % 1.23/1.49 (define @t1130 () (_ (_ tptp.binintersect @t695) @t1129)) % 1.23/1.49 (define @t1131 () (_ (_ tptp.in @t1130) @t33)) % 1.23/1.49 (define @t1132 () (_ tptp.in @t1129)) % 1.23/1.49 (define @t1133 () (_ @t1132 @t33)) % 1.23/1.49 (define @t1134 () (@list @t1129)) % 1.23/1.49 (define @t1135 () (forall @t1134 (=> @t1133 @t1131))) % 1.23/1.49 (define @t1136 () (_ @t697 @t33)) % 1.23/1.49 (define @t1137 () (=> @t1136 @t1135)) % 1.23/1.49 (define @t1138 () (@list @t2 @t695)) % 1.23/1.49 (define @t1139 () (forall @t1138 @t1137)) % 1.23/1.49 (define @t1140 () (= tptp.binintersectT_lem @t1139)) % 1.23/1.49 (define @t1141 () (_ (_ tptp.binunion @t695) @t1129)) % 1.23/1.49 (define @t1142 () (_ (_ tptp.in @t1141) @t33)) % 1.23/1.49 (define @t1143 () (forall @t1134 (=> @t1133 @t1142))) % 1.23/1.49 (define @t1144 () (=> @t1136 @t1143)) % 1.23/1.49 (define @t1145 () (forall @t1138 @t1144)) % 1.23/1.49 (define @t1146 () (= tptp.binunionT_lem @t1145)) % 1.23/1.49 (define @t1147 () (_ tptp.powerset @t33)) % 1.23/1.49 (define @t1148 () (_ tptp.powerset @t695)) % 1.23/1.49 (define @t1149 () (_ (_ tptp.in @t1148) @t1147)) % 1.23/1.49 (define @t1150 () (forall @t1138 (=> @t1136 @t1149))) % 1.23/1.49 (define @t1151 () (= tptp.powersetT_lem @t1150)) % 1.23/1.49 (define @t1152 () (_ (_ tptp.setminus @t695) @t1129)) % 1.23/1.49 (define @t1153 () (_ (_ tptp.in @t1152) @t33)) % 1.23/1.49 (define @t1154 () (forall @t1134 (=> @t1133 @t1153))) % 1.23/1.49 (define @t1155 () (=> @t1136 @t1154)) % 1.23/1.49 (define @t1156 () (forall @t1138 @t1155)) % 1.23/1.49 (define @t1157 () (= tptp.setminusT_lem @t1156)) % 1.23/1.49 (define @t1158 () (_ @t567 @t695)) % 1.23/1.49 (define @t1159 () (_ tptp.in @t1158)) % 1.23/1.49 (define @t1160 () (_ @t1159 @t33)) % 1.23/1.49 (define @t1161 () (forall @t1138 (=> @t1136 @t1160))) % 1.23/1.49 (define @t1162 () (= tptp.complementT_lem @t1161)) % 1.23/1.49 (define @t1163 () (= @t695 @t1129)) % 1.23/1.49 (define @t1164 () (_ @t5 @t1129)) % 1.23/1.49 (define @t1165 () (=> @t1164 @t696)) % 1.23/1.49 (define @t1166 () (forall @t9 (=> @t7 @t1165))) % 1.23/1.49 (define @t1167 () (=> @t1166 @t1163)) % 1.23/1.49 (define @t1168 () (=> @t696 @t1164)) % 1.23/1.49 (define @t1169 () (forall @t9 (=> @t7 @t1168))) % 1.23/1.49 (define @t1170 () (=> @t1169 @t1167)) % 1.23/1.49 (define @t1171 () (=> @t1133 @t1170)) % 1.23/1.49 (define @t1172 () (forall @t1134 @t1171)) % 1.23/1.49 (define @t1173 () (=> @t1136 @t1172)) % 1.23/1.49 (define @t1174 () (forall @t1138 @t1173)) % 1.23/1.49 (define @t1175 () (= tptp.setextT @t1174)) % 1.23/1.49 (define @t1176 () (_ tptp.subset @t695)) % 1.23/1.49 (define @t1177 () (_ @t1176 @t1129)) % 1.23/1.49 (define @t1178 () (=> @t1169 @t1177)) % 1.23/1.49 (define @t1179 () (=> @t1133 @t1178)) % 1.23/1.49 (define @t1180 () (forall @t1134 @t1179)) % 1.23/1.49 (define @t1181 () (=> @t1136 @t1180)) % 1.23/1.49 (define @t1182 () (forall @t1138 @t1181)) % 1.23/1.49 (define @t1183 () (= tptp.subsetTI @t1182)) % 1.23/1.49 (define @t1184 () (_ tptp.powerset @t1129)) % 1.23/1.49 (define @t1185 () (_ @t697 @t1184)) % 1.23/1.49 (define @t1186 () (=> @t1169 @t1185)) % 1.23/1.49 (define @t1187 () (=> @t1133 @t1186)) % 1.23/1.49 (define @t1188 () (forall @t1134 @t1187)) % 1.23/1.49 (define @t1189 () (=> @t1136 @t1188)) % 1.23/1.49 (define @t1190 () (forall @t1138 @t1189)) % 1.23/1.49 (define @t1191 () (= tptp.powersetTI1 @t1190)) % 1.23/1.49 (define @t1192 () (=> @t1185 @t1168)) % 1.23/1.49 (define @t1193 () (forall @t9 (=> @t7 @t1192))) % 1.23/1.49 (define @t1194 () (=> @t1133 @t1193)) % 1.23/1.49 (define @t1195 () (forall @t1134 @t1194)) % 1.23/1.49 (define @t1196 () (=> @t1136 @t1195)) % 1.23/1.49 (define @t1197 () (forall @t1138 @t1196)) % 1.23/1.49 (define @t1198 () (= tptp.powersetTE1 @t1197)) % 1.23/1.49 (define @t1199 () (_ @t5 @t1158)) % 1.23/1.49 (define @t1200 () (not @t1199)) % 1.23/1.49 (define @t1201 () (=> @t696 @t1200)) % 1.23/1.49 (define @t1202 () (forall @t9 (=> @t7 @t1201))) % 1.23/1.49 (define @t1203 () (=> @t1136 @t1202)) % 1.23/1.49 (define @t1204 () (forall @t1138 @t1203)) % 1.23/1.49 (define @t1205 () (= tptp.complementTI1 @t1204)) % 1.23/1.49 (define @t1206 () (=> @t1200 @t696)) % 1.23/1.49 (define @t1207 () (forall @t9 (=> @t7 @t1206))) % 1.23/1.49 (define @t1208 () (=> @t1136 @t1207)) % 1.23/1.49 (define @t1209 () (forall @t1138 @t1208)) % 1.23/1.49 (define @t1210 () (= tptp.complementTE1 @t1209)) % 1.23/1.49 (define @t1211 () (_ @t5 @t1130)) % 1.23/1.49 (define @t1212 () (not @t1211)) % 1.23/1.49 (define @t1213 () (not @t696)) % 1.23/1.49 (define @t1214 () (=> @t1213 @t1212)) % 1.23/1.49 (define @t1215 () (forall @t9 (=> @t7 @t1214))) % 1.23/1.49 (define @t1216 () (=> @t1133 @t1215)) % 1.23/1.49 (define @t1217 () (forall @t1134 @t1216)) % 1.23/1.49 (define @t1218 () (=> @t1136 @t1217)) % 1.23/1.49 (define @t1219 () (forall @t1138 @t1218)) % 1.23/1.49 (define @t1220 () (= tptp.binintersectTELcontra @t1219)) % 1.23/1.49 (define @t1221 () (not @t1164)) % 1.23/1.49 (define @t1222 () (=> @t1221 @t1212)) % 1.23/1.49 (define @t1223 () (forall @t9 (=> @t7 @t1222))) % 1.23/1.49 (define @t1224 () (=> @t1133 @t1223)) % 1.23/1.49 (define @t1225 () (forall @t1134 @t1224)) % 1.23/1.49 (define @t1226 () (=> @t1136 @t1225)) % 1.23/1.49 (define @t1227 () (forall @t1138 @t1226)) % 1.23/1.49 (define @t1228 () (= tptp.binintersectTERcontra @t1227)) % 1.23/1.49 (define @t1229 () (=> @t1164 @t1213)) % 1.23/1.49 (define @t1230 () (_ @t567 @t1129)) % 1.23/1.49 (define @t1231 () (_ @t1176 @t1230)) % 1.23/1.49 (define @t1232 () (=> @t1231 @t1229)) % 1.23/1.49 (define @t1233 () (forall @t9 (=> @t7 @t1232))) % 1.23/1.49 (define @t1234 () (=> @t1133 @t1233)) % 1.23/1.49 (define @t1235 () (forall @t1134 @t1234)) % 1.23/1.49 (define @t1236 () (=> @t1136 @t1235)) % 1.23/1.49 (define @t1237 () (forall @t1138 @t1236)) % 1.23/1.49 (define @t1238 () (= tptp.contrasubsetT @t1237)) % 1.23/1.49 (define @t1239 () (=> @t1221 @t1213)) % 1.23/1.49 (define @t1240 () (=> @t1177 @t1239)) % 1.23/1.49 (define @t1241 () (forall @t9 (=> @t7 @t1240))) % 1.23/1.49 (define @t1242 () (=> @t1133 @t1241)) % 1.23/1.49 (define @t1243 () (forall @t1134 @t1242)) % 1.23/1.49 (define @t1244 () (=> @t1136 @t1243)) % 1.23/1.49 (define @t1245 () (forall @t1138 @t1244)) % 1.23/1.49 (define @t1246 () (= tptp.contrasubsetT1 @t1245)) % 1.23/1.49 (define @t1247 () (_ (_ tptp.subset @t1230) @t1158)) % 1.23/1.49 (define @t1248 () (=> @t1177 @t1247)) % 1.23/1.49 (define @t1249 () (forall @t1134 (=> @t1133 @t1248))) % 1.23/1.49 (define @t1250 () (=> @t1136 @t1249)) % 1.23/1.49 (define @t1251 () (forall @t1138 @t1250)) % 1.23/1.49 (define @t1252 () (= tptp.contrasubsetT2 @t1251)) % 1.23/1.49 (define @t1253 () (=> @t1247 @t1177)) % 1.23/1.49 (define @t1254 () (forall @t1134 (=> @t1133 @t1253))) % 1.23/1.49 (define @t1255 () (=> @t1136 @t1254)) % 1.23/1.49 (define @t1256 () (forall @t1138 @t1255)) % 1.23/1.49 (define @t1257 () (= tptp.contrasubsetT3 @t1256)) % 1.23/1.49 (define @t1258 () (_ @t567 @t1158)) % 1.23/1.49 (define @t1259 () (_ @t5 @t1258)) % 1.23/1.49 (define @t1260 () (=> @t696 @t1259)) % 1.23/1.49 (define @t1261 () (forall @t9 (=> @t7 @t1260))) % 1.23/1.49 (define @t1262 () (=> @t1136 @t1261)) % 1.23/1.49 (define @t1263 () (forall @t1138 @t1262)) % 1.23/1.49 (define @t1264 () (= tptp.doubleComplementI1 @t1263)) % 1.23/1.49 (define @t1265 () (=> @t1259 @t696)) % 1.23/1.49 (define @t1266 () (forall @t9 (=> @t7 @t1265))) % 1.23/1.49 (define @t1267 () (=> @t1136 @t1266)) % 1.23/1.49 (define @t1268 () (forall @t1138 @t1267)) % 1.23/1.49 (define @t1269 () (= tptp.doubleComplementE1 @t1268)) % 1.23/1.49 (define @t1270 () (_ @t1176 @t1258)) % 1.23/1.49 (define @t1271 () (forall @t1138 (=> @t1136 @t1270))) % 1.23/1.49 (define @t1272 () (= tptp.doubleComplementSub1 @t1271)) % 1.23/1.49 (define @t1273 () (_ (_ tptp.subset @t1258) @t695)) % 1.23/1.49 (define @t1274 () (forall @t1138 (=> @t1136 @t1273))) % 1.23/1.49 (define @t1275 () (= tptp.doubleComplementSub2 @t1274)) % 1.23/1.49 (define @t1276 () (= @t695 @t1258)) % 1.23/1.49 (define @t1277 () (forall @t1138 (=> @t1136 @t1276))) % 1.23/1.49 (define @t1278 () (= tptp.doubleComplementEq @t1277)) % 1.23/1.49 (define @t1279 () (=> @t1199 @t1212)) % 1.23/1.49 (define @t1280 () (forall @t9 (=> @t7 @t1279))) % 1.23/1.49 (define @t1281 () (=> @t1133 @t1280)) % 1.23/1.49 (define @t1282 () (forall @t1134 @t1281)) % 1.23/1.49 (define @t1283 () (=> @t1136 @t1282)) % 1.23/1.49 (define @t1284 () (forall @t1138 @t1283)) % 1.23/1.49 (define @t1285 () (= tptp.complementTnotintersectT @t1284)) % 1.23/1.49 (define @t1286 () (_ @t567 @t1130)) % 1.23/1.49 (define @t1287 () (_ @t5 @t1286)) % 1.23/1.49 (define @t1288 () (=> @t1199 @t1287)) % 1.23/1.49 (define @t1289 () (forall @t9 (=> @t7 @t1288))) % 1.23/1.49 (define @t1290 () (=> @t1133 @t1289)) % 1.23/1.49 (define @t1291 () (forall @t1134 @t1290)) % 1.23/1.49 (define @t1292 () (=> @t1136 @t1291)) % 1.23/1.49 (define @t1293 () (forall @t1138 @t1292)) % 1.23/1.49 (define @t1294 () (= tptp.complementImpComplementIntersect @t1293)) % 1.23/1.49 (define @t1295 () (_ (_ tptp.subset @t1158) @t1286)) % 1.23/1.49 (define @t1296 () (forall @t1134 (=> @t1133 @t1295))) % 1.23/1.49 (define @t1297 () (=> @t1136 @t1296)) % 1.23/1.49 (define @t1298 () (forall @t1138 @t1297)) % 1.23/1.49 (define @t1299 () (= tptp.complementSubsetComplementIntersect @t1298)) % 1.23/1.49 (define @t1300 () (_ tptp.powerset @t1286)) % 1.23/1.49 (define @t1301 () (_ @t1159 @t1300)) % 1.23/1.49 (define @t1302 () (forall @t1134 (=> @t1133 @t1301))) % 1.23/1.49 (define @t1303 () (=> @t1136 @t1302)) % 1.23/1.49 (define @t1304 () (forall @t1138 @t1303)) % 1.23/1.49 (define @t1305 () (= tptp.complementInPowersetComplementIntersect @t1304)) % 1.23/1.49 (define @t1306 () (=> @t1164 @t1199)) % 1.23/1.49 (define @t1307 () (forall @t9 (=> @t7 @t1306))) % 1.23/1.49 (define @t1308 () (=> @t1231 @t1307)) % 1.23/1.49 (define @t1309 () (=> @t1133 @t1308)) % 1.23/1.49 (define @t1310 () (forall @t1134 @t1309)) % 1.23/1.49 (define @t1311 () (=> @t1136 @t1310)) % 1.23/1.49 (define @t1312 () (forall @t1138 @t1311)) % 1.23/1.49 (define @t1313 () (= tptp.contraSubsetComplement @t1312)) % 1.23/1.49 (define @t1314 () (_ tptp.subset @t1129)) % 1.23/1.49 (define @t1315 () (_ @t1314 @t1158)) % 1.23/1.49 (define @t1316 () (=> @t1231 @t1315)) % 1.23/1.49 (define @t1317 () (forall @t1134 (=> @t1133 @t1316))) % 1.23/1.49 (define @t1318 () (=> @t1136 @t1317)) % 1.23/1.49 (define @t1319 () (forall @t1138 @t1318)) % 1.23/1.49 (define @t1320 () (= tptp.complementTcontraSubset @t1319)) % 1.23/1.49 (define @t1321 () (_ @t5 @t1141)) % 1.23/1.49 (define @t1322 () (not @t1321)) % 1.23/1.49 (define @t1323 () (=> @t1322 @t1213)) % 1.23/1.49 (define @t1324 () (forall @t9 (=> @t7 @t1323))) % 1.23/1.49 (define @t1325 () (=> @t1133 @t1324)) % 1.23/1.49 (define @t1326 () (forall @t1134 @t1325)) % 1.23/1.49 (define @t1327 () (=> @t1136 @t1326)) % 1.23/1.49 (define @t1328 () (forall @t1138 @t1327)) % 1.23/1.49 (define @t1329 () (=> tptp.complementTcontraSubset @t1328)) % 1.23/1.49 (define @t1330 () (=> tptp.contraSubsetComplement @t1329)) % 1.23/1.49 (define @t1331 () (=> tptp.complementInPowersetComplementIntersect @t1330)) % 1.23/1.49 (define @t1332 () (=> tptp.complementSubsetComplementIntersect @t1331)) % 1.23/1.49 (define @t1333 () (=> tptp.complementImpComplementIntersect @t1332)) % 1.23/1.49 (define @t1334 () (=> tptp.complementTnotintersectT @t1333)) % 1.23/1.49 (define @t1335 () (=> tptp.doubleComplementEq @t1334)) % 1.23/1.49 (define @t1336 () (=> tptp.doubleComplementSub2 @t1335)) % 1.23/1.49 (define @t1337 () (=> tptp.doubleComplementSub1 @t1336)) % 1.23/1.49 (define @t1338 () (=> tptp.doubleComplementE1 @t1337)) % 1.23/1.49 (define @t1339 () (=> tptp.doubleComplementI1 @t1338)) % 1.23/1.49 (define @t1340 () (=> tptp.contrasubsetT3 @t1339)) % 1.23/1.49 (define @t1341 () (=> tptp.contrasubsetT2 @t1340)) % 1.23/1.49 (define @t1342 () (=> tptp.contrasubsetT1 @t1341)) % 1.23/1.49 (define @t1343 () (=> tptp.contrasubsetT @t1342)) % 1.23/1.49 (define @t1344 () (=> tptp.binintersectTERcontra @t1343)) % 1.23/1.49 (define @t1345 () (=> tptp.binintersectTELcontra @t1344)) % 1.23/1.49 (define @t1346 () (=> tptp.complementTE1 @t1345)) % 1.23/1.49 (define @t1347 () (=> tptp.complementTI1 @t1346)) % 1.23/1.49 (define @t1348 () (=> tptp.powersetTE1 @t1347)) % 1.23/1.49 (define @t1349 () (=> tptp.powersetTI1 @t1348)) % 1.23/1.49 (define @t1350 () (=> tptp.subsetTI @t1349)) % 1.23/1.49 (define @t1351 () (=> tptp.setextT @t1350)) % 1.23/1.49 (define @t1352 () (=> tptp.complementT_lem @t1351)) % 1.23/1.49 (define @t1353 () (=> tptp.setminusT_lem @t1352)) % 1.23/1.49 (define @t1354 () (=> tptp.powersetT_lem @t1353)) % 1.23/1.49 (define @t1355 () (=> tptp.binunionT_lem @t1354)) % 1.23/1.49 (define @t1356 () (=> tptp.binintersectT_lem @t1355)) % 1.23/1.49 (define @t1357 () (=> tptp.iftrueorfalse @t1356)) % 1.23/1.49 (define @t1358 () (=> tptp.iffalse @t1357)) % 1.23/1.49 (define @t1359 () (=> tptp.iftrue @t1358)) % 1.23/1.49 (define @t1360 () (=> tptp.theeq @t1359)) % 1.23/1.49 (define @t1361 () (=> tptp.ifp @t1360)) % 1.23/1.49 (define @t1362 () (=> tptp.ifSingleton @t1361)) % 1.23/1.49 (define @t1363 () (=> tptp.iftrueProp2 @t1362)) % 1.23/1.49 (define @t1364 () (=> tptp.iftrueProp1 @t1363)) % 1.23/1.49 (define @t1365 () (=> tptp.iffalseProp2 @t1364)) % 1.23/1.49 (define @t1366 () (=> tptp.iffalseProp1 @t1365)) % 1.23/1.49 (define @t1367 () (=> tptp.eta2 @t1366)) % 1.23/1.49 (define @t1368 () (=> tptp.beta2 @t1367)) % 1.23/1.49 (define @t1369 () (=> tptp.lam2lamEq @t1368)) % 1.23/1.49 (define @t1370 () (=> tptp.eta1 @t1369)) % 1.23/1.49 (define @t1371 () (=> tptp.beta1 @t1370)) % 1.23/1.49 (define @t1372 () (=> tptp.ap2apEq2 @t1371)) % 1.23/1.49 (define @t1373 () (=> tptp.ap2apEq1 @t1372)) % 1.23/1.49 (define @t1374 () (=> tptp.funcext2 @t1373)) % 1.23/1.49 (define @t1375 () (=> tptp.funcext @t1374)) % 1.23/1.49 (define @t1376 () (=> tptp.eqbreln @t1375)) % 1.23/1.49 (define @t1377 () (=> tptp.subbreln @t1376)) % 1.23/1.49 (define @t1378 () (=> tptp.funcGraphProp4 @t1377)) % 1.23/1.49 (define @t1379 () (=> tptp.funcextLem @t1378)) % 1.23/1.49 (define @t1380 () (=> tptp.funcGraphProp2 @t1379)) % 1.23/1.49 (define @t1381 () (=> tptp.funcGraphProp3 @t1380)) % 1.23/1.49 (define @t1382 () (=> tptp.funcGraphProp1 @t1381)) % 1.23/1.49 (define @t1383 () (=> tptp.ex1E2 @t1382)) % 1.23/1.49 (define @t1384 () (=> tptp.brelnall2 @t1383)) % 1.23/1.49 (define @t1385 () (=> tptp.brelnall1 @t1384)) % 1.23/1.49 (define @t1386 () (=> tptp.lam2p @t1385)) % 1.23/1.49 (define @t1387 () (=> tptp.lamp @t1386)) % 1.23/1.49 (define @t1388 () (=> tptp.lamProp @t1387)) % 1.23/1.49 (define @t1389 () (=> tptp.funcinfuncset @t1388)) % 1.23/1.49 (define @t1390 () (=> tptp.ap2p @t1389)) % 1.23/1.49 (define @t1391 () (=> tptp.infuncsetfunc @t1390)) % 1.23/1.49 (define @t1392 () (=> tptp.app @t1391)) % 1.23/1.49 (define @t1393 () (=> tptp.apProp @t1392)) % 1.23/1.49 (define @t1394 () (=> tptp.funcImageSingleton @t1393)) % 1.23/1.49 (define @t1395 () (=> tptp.dpsetconstrER @t1394)) % 1.23/1.49 (define @t1396 () (=> tptp.dpsetconstrEL2 @t1395)) % 1.23/1.49 (define @t1397 () (=> tptp.dpsetconstrEL1 @t1396)) % 1.23/1.49 (define @t1398 () (=> tptp.dpsetconstrERa @t1397)) % 1.23/1.49 (define @t1399 () (=> tptp.setOfPairsIsBReln @t1398)) % 1.23/1.49 (define @t1400 () (=> tptp.dpsetconstrSub @t1399)) % 1.23/1.49 (define @t1401 () (=> tptp.dpsetconstrI @t1400)) % 1.23/1.49 (define @t1402 () (=> tptp.cartprodpairsurjEq @t1401)) % 1.23/1.49 (define @t1403 () (=> tptp.cartprodsndpairEq @t1402)) % 1.23/1.49 (define @t1404 () (=> tptp.cartprodfstpairEq @t1403)) % 1.23/1.49 (define @t1405 () (=> tptp.cartprodmempaircEq @t1404)) % 1.23/1.49 (define @t1406 () (=> tptp.cartprodpairmemER @t1405)) % 1.23/1.49 (define @t1407 () (=> tptp.cartprodpairmemEL @t1406)) % 1.23/1.49 (define @t1408 () (=> tptp.cartprodsndin @t1407)) % 1.23/1.49 (define @t1409 () (=> tptp.kpairsurjEq @t1408)) % 1.23/1.49 (define @t1410 () (=> tptp.ksndpairEq @t1409)) % 1.23/1.49 (define @t1411 () (=> tptp.ksndsingleton @t1410)) % 1.23/1.49 (define @t1412 () (=> tptp.setukpairinjR @t1411)) % 1.23/1.49 (define @t1413 () (=> tptp.setukpairinjR2 @t1412)) % 1.23/1.49 (define @t1414 () (=> tptp.upairequniteq @t1413)) % 1.23/1.49 (define @t1415 () (=> tptp.setukpairinjR1 @t1414)) % 1.23/1.49 (define @t1416 () (=> tptp.setukpairinjR12 @t1415)) % 1.23/1.49 (define @t1417 () (=> tptp.setukpairinjR11 @t1416)) % 1.23/1.49 (define @t1418 () (=> tptp.setukpairinjL @t1417)) % 1.23/1.49 (define @t1419 () (=> tptp.setukpairinjL2 @t1418)) % 1.23/1.49 (define @t1420 () (=> tptp.cartprodfstin @t1419)) % 1.23/1.49 (define @t1421 () (=> tptp.kfstpairEq @t1420)) % 1.23/1.49 (define @t1422 () (=> tptp.theprop @t1421)) % 1.23/1.49 (define @t1423 () (=> tptp.kfstsingleton @t1422)) % 1.23/1.49 (define @t1424 () (=> tptp.setukpairinjL1 @t1423)) % 1.23/1.49 (define @t1425 () (=> tptp.singletonsuniq @t1424)) % 1.23/1.49 (define @t1426 () (=> tptp.ex1I2 @t1425)) % 1.23/1.49 (define @t1427 () (=> tptp.ex1I @t1426)) % 1.23/1.49 (define @t1428 () (=> tptp.ex1E1 @t1427)) % 1.23/1.49 (define @t1429 () (=> tptp.singletonprop @t1428)) % 1.23/1.49 (define @t1430 () (=> tptp.setunionsingleton @t1429)) % 1.23/1.49 (define @t1431 () (=> tptp.setunionsingleton2 @t1430)) % 1.23/1.49 (define @t1432 () (=> tptp.setunionsingleton1 @t1431)) % 1.23/1.49 (define @t1433 () (=> tptp.setunionE2 @t1432)) % 1.23/1.49 (define @t1434 () (=> tptp.cartprodmempair @t1433)) % 1.23/1.49 (define @t1435 () (=> tptp.cartprodmempair1 @t1434)) % 1.23/1.49 (define @t1436 () (=> tptp.cartprodpairin @t1435)) % 1.23/1.49 (define @t1437 () (=> tptp.ubforcartprodlem3 @t1436)) % 1.23/1.49 (define @t1438 () (=> tptp.ubforcartprodlem2 @t1437)) % 1.23/1.49 (define @t1439 () (=> tptp.ubforcartprodlem1 @t1438)) % 1.23/1.49 (define @t1440 () (=> tptp.upairinpowunion @t1439)) % 1.23/1.49 (define @t1441 () (=> tptp.upairsubunion @t1440)) % 1.23/1.49 (define @t1442 () (=> tptp.upairset2E @t1441)) % 1.23/1.49 (define @t1443 () (=> tptp.singletoninpowunion @t1442)) % 1.23/1.49 (define @t1444 () (=> tptp.singletoninpowerset @t1443)) % 1.23/1.49 (define @t1445 () (=> tptp.singletonsubset @t1444)) % 1.23/1.49 (define @t1446 () (=> tptp.kpairp @t1445)) % 1.23/1.49 (define @t1447 () (=> tptp.kpairiskpair @t1446)) % 1.23/1.49 (define @t1448 () (=> tptp.setukpairIR @t1447)) % 1.23/1.49 (define @t1449 () (=> tptp.setukpairIL @t1448)) % 1.23/1.49 (define @t1450 () (=> tptp.secondinupair @t1449)) % 1.23/1.49 (define @t1451 () (=> tptp.symdiffIneg2 @t1450)) % 1.23/1.49 (define @t1452 () (=> tptp.symdiffIneg1 @t1451)) % 1.23/1.49 (define @t1453 () (=> tptp.symdiffI2 @t1452)) % 1.23/1.49 (define @t1454 () (=> tptp.symdiffI1 @t1453)) % 1.23/1.49 (define @t1455 () (=> tptp.symdiffE @t1454)) % 1.23/1.49 (define @t1456 () (=> tptp.setminusSubset1 @t1455)) % 1.23/1.49 (define @t1457 () (=> tptp.setminusLsub @t1456)) % 1.23/1.49 (define @t1458 () (=> tptp.setminusIRneg @t1457)) % 1.23/1.49 (define @t1459 () (=> tptp.setminusILneg @t1458)) % 1.23/1.49 (define @t1460 () (=> tptp.setminusELneg @t1459)) % 1.23/1.49 (define @t1461 () (=> tptp.setminusERneg @t1460)) % 1.23/1.49 (define @t1462 () (=> tptp.setminusSubset2 @t1461)) % 1.23/1.49 (define @t1463 () (=> tptp.setminusER @t1462)) % 1.23/1.49 (define @t1464 () (=> tptp.setminusEL @t1463)) % 1.23/1.49 (define @t1465 () (=> tptp.setminusI @t1464)) % 1.23/1.49 (define @t1466 () (=> tptp.bs114d @t1465)) % 1.23/1.49 (define @t1467 () (=> tptp.binintersectSubset1 @t1466)) % 1.23/1.49 (define @t1468 () (=> tptp.binintersectSubset4 @t1467)) % 1.23/1.49 (define @t1469 () (=> tptp.binintersectRsub @t1468)) % 1.23/1.49 (define @t1470 () (=> tptp.disjointsetsI1 @t1469)) % 1.23/1.49 (define @t1471 () (=> tptp.binintersectER @t1470)) % 1.23/1.49 (define @t1472 () (=> tptp.binintersectSubset3 @t1471)) % 1.23/1.49 (define @t1473 () (=> tptp.binintersectSubset2 @t1472)) % 1.23/1.49 (define @t1474 () (=> tptp.binintersectLsub @t1473)) % 1.23/1.49 (define @t1475 () (=> tptp.binintersectEL @t1474)) % 1.23/1.49 (define @t1476 () (=> tptp.binintersectSubset5 @t1475)) % 1.23/1.49 (define @t1477 () (=> tptp.binintersectI @t1476)) % 1.23/1.49 (define @t1478 () (=> tptp.binunionRsub @t1477)) % 1.23/1.49 (define @t1479 () (=> tptp.binunionLsub @t1478)) % 1.23/1.49 (define @t1480 () (=> tptp.binunionE @t1479)) % 1.23/1.49 (define @t1481 () (=> tptp.binunionEcases @t1480)) % 1.23/1.49 (define @t1482 () (=> tptp.binunionIR @t1481)) % 1.23/1.49 (define @t1483 () (=> tptp.upairset2IR @t1482)) % 1.23/1.49 (define @t1484 () (=> tptp.binunionIL @t1483)) % 1.23/1.49 (define @t1485 () (=> tptp.sepSubset @t1484)) % 1.23/1.49 (define @t1486 () (=> tptp.sepInPowerset @t1485)) % 1.23/1.49 (define @t1487 () (=> tptp.powersetsubset @t1486)) % 1.23/1.49 (define @t1488 () (=> tptp.inPowerset @t1487)) % 1.23/1.49 (define @t1489 () (=> tptp.powersetE1 @t1488)) % 1.23/1.49 (define @t1490 () (=> tptp.powersetI1 @t1489)) % 1.23/1.49 (define @t1491 () (=> tptp.subsetemptysetimpeq @t1490)) % 1.23/1.49 (define @t1492 () (=> tptp.setextsub @t1491)) % 1.23/1.49 (define @t1493 () (=> tptp.subset2powerset @t1492)) % 1.23/1.49 (define @t1494 () (=> tptp.setadjoinSub2 @t1493)) % 1.23/1.49 (define @t1495 () (=> tptp.setadjoinSub @t1494)) % 1.23/1.49 (define @t1496 () (=> tptp.subsetTrans @t1495)) % 1.23/1.49 (define @t1497 () (=> tptp.subsetRefl @t1496)) % 1.23/1.49 (define @t1498 () (=> tptp.notequalI2 @t1497)) % 1.23/1.49 (define @t1499 () (=> tptp.notequalI1 @t1498)) % 1.23/1.49 (define @t1500 () (=> tptp.notsubsetI @t1499)) % 1.23/1.49 (define @t1501 () (=> tptp.subsetE2 @t1500)) % 1.23/1.49 (define @t1502 () (=> tptp.subsetE @t1501)) % 1.23/1.49 (define @t1503 () (=> tptp.emptysetsubset @t1502)) % 1.23/1.49 (define @t1504 () (=> tptp.subsetI2 @t1503)) % 1.23/1.49 (define @t1505 () (=> tptp.eqimpsubset1 @t1504)) % 1.23/1.49 (define @t1506 () (=> tptp.eqimpsubset2 @t1505)) % 1.23/1.49 (define @t1507 () (=> tptp.subsetI1 @t1506)) % 1.23/1.49 (define @t1508 () (=> tptp.dsetconstr__Cong @t1507)) % 1.23/1.49 (define @t1509 () (=> tptp.descr__Cong @t1508)) % 1.23/1.49 (define @t1510 () (=> tptp.exuEu @t1509)) % 1.23/1.49 (define @t1511 () (=> tptp.omega__Cong @t1510)) % 1.23/1.49 (define @t1512 () (=> tptp.setunion__Cong @t1511)) % 1.23/1.49 (define @t1513 () (=> tptp.powerset__Cong @t1512)) % 1.23/1.49 (define @t1514 () (=> tptp.setadjoin__Cong @t1513)) % 1.23/1.49 (define @t1515 () (=> tptp.emptyset__Cong @t1514)) % 1.23/1.49 (define @t1516 () (=> tptp.exu__Cong @t1515)) % 1.23/1.49 (define @t1517 () (=> tptp.exuE3u @t1516)) % 1.23/1.49 (define @t1518 () (=> tptp.in__Cong @t1517)) % 1.23/1.49 (define @t1519 () (=> tptp.inCongP @t1518)) % 1.23/1.49 (define @t1520 () (=> tptp.exuI2 @t1519)) % 1.23/1.49 (define @t1521 () (=> tptp.exuI3 @t1520)) % 1.23/1.49 (define @t1522 () (=> tptp.exuI1 @t1521)) % 1.23/1.49 (define @t1523 () (=> tptp.notdallE @t1522)) % 1.23/1.49 (define @t1524 () (=> tptp.notdexE @t1523)) % 1.23/1.49 (define @t1525 () (=> tptp.prop2set2propI @t1524)) % 1.23/1.49 (define @t1526 () (=> tptp.prop2setI @t1525)) % 1.23/1.49 (define @t1527 () (=> tptp.quantDeMorgan4 @t1526)) % 1.23/1.49 (define @t1528 () (=> tptp.quantDeMorgan3 @t1527)) % 1.23/1.49 (define @t1529 () (=> tptp.quantDeMorgan2 @t1528)) % 1.23/1.49 (define @t1530 () (=> tptp.quantDeMorgan1 @t1529)) % 1.23/1.49 (define @t1531 () (=> tptp.vacuousDall @t1530)) % 1.23/1.49 (define @t1532 () (=> tptp.emptyE1 @t1531)) % 1.23/1.49 (define @t1533 () (=> tptp.upairsetIR @t1532)) % 1.23/1.49 (define @t1534 () (=> tptp.upairsetIL @t1533)) % 1.23/1.49 (define @t1535 () (=> tptp.upairsetE @t1534)) % 1.23/1.49 (define @t1536 () (=> tptp.singletonsswitch @t1535)) % 1.23/1.49 (define @t1537 () (=> tptp.eqinunit @t1536)) % 1.23/1.49 (define @t1538 () (=> tptp.notinsingleton @t1537)) % 1.23/1.49 (define @t1539 () (=> tptp.uniqinunit @t1538)) % 1.23/1.49 (define @t1540 () (=> tptp.nonemptyImpWitness @t1539)) % 1.23/1.49 (define @t1541 () (=> tptp.exuE2 @t1540)) % 1.23/1.49 (define @t1542 () (=> tptp.subPowSU @t1541)) % 1.23/1.49 (define @t1543 () (=> tptp.setunionE @t1542)) % 1.23/1.49 (define @t1544 () (=> tptp.setunionI @t1543)) % 1.23/1.49 (define @t1545 () (=> tptp.powersetE @t1544)) % 1.23/1.49 (define @t1546 () (=> tptp.emptyInPowerset @t1545)) % 1.23/1.49 (define @t1547 () (=> tptp.emptyinPowerset @t1546)) % 1.23/1.49 (define @t1548 () (=> tptp.powersetI @t1547)) % 1.23/1.49 (define @t1549 () (=> tptp.setoftrueEq @t1548)) % 1.23/1.49 (define @t1550 () (=> tptp.setadjoinOr @t1549)) % 1.23/1.49 (define @t1551 () (=> tptp.setadjoinE @t1550)) % 1.23/1.49 (define @t1552 () (=> tptp.setadjoinIR @t1551)) % 1.23/1.49 (define @t1553 () (=> tptp.emptyinunitempty @t1552)) % 1.23/1.49 (define @t1554 () (=> tptp.setadjoinIL @t1553)) % 1.23/1.49 (define @t1555 () (=> tptp.nonemptyI1 @t1554)) % 1.23/1.49 (define @t1556 () (=> tptp.nonemptyI @t1555)) % 1.23/1.49 (define @t1557 () (=> tptp.nonemptyE1 @t1556)) % 1.23/1.49 (define @t1558 () (=> tptp.setbeta @t1557)) % 1.23/1.49 (define @t1559 () (=> tptp.noeltsimpempty @t1558)) % 1.23/1.49 (define @t1560 () (=> tptp.emptyI @t1559)) % 1.23/1.49 (define @t1561 () (=> tptp.setext @t1560)) % 1.23/1.49 (define @t1562 () (=> tptp.exuE3e @t1561)) % 1.23/1.49 (define @t1563 () (=> tptp.notinemptyset @t1562)) % 1.23/1.49 (define @t1564 () (=> tptp.emptysetimpfalse @t1563)) % 1.23/1.49 (define @t1565 () (=> tptp.emptysetE @t1564)) % 1.23/1.49 (define @t1566 () (=> tptp.prop2setE @t1565)) % 1.23/1.49 (define @t1567 () (=> tptp.exuE1 @t1566)) % 1.23/1.49 (define @t1568 () (=> tptp.dsetconstrER @t1567)) % 1.23/1.49 (define @t1569 () (=> tptp.dsetconstrEL @t1568)) % 1.23/1.49 (define @t1570 () (=> tptp.dsetconstrI @t1569)) % 1.23/1.49 (define @t1571 () (=> tptp.descrp @t1570)) % 1.23/1.49 (define @t1572 () (=> tptp.wellorderingAx @t1571)) % 1.23/1.49 (define @t1573 () (=> tptp.foundationAx @t1572)) % 1.23/1.49 (define @t1574 () (=> tptp.replAx @t1573)) % 1.23/1.49 (define @t1575 () (=> tptp.omegaIndAx @t1574)) % 1.23/1.49 (define @t1576 () (=> tptp.omegaSAx @t1575)) % 1.23/1.49 (define @t1577 () (=> tptp.omega0Ax @t1576)) % 1.23/1.49 (define @t1578 () (=> tptp.setunionAx @t1577)) % 1.23/1.49 (define @t1579 () (=> tptp.powersetAx @t1578)) % 1.23/1.49 (define @t1580 () (=> tptp.setadjoinAx @t1579)) % 1.23/1.49 (define @t1581 () (=> tptp.emptysetAx @t1580)) % 1.23/1.49 (define @t1582 () (=> tptp.setextAx @t1581)) % 1.23/1.49 (define @t1583 () (not @t1582)) % 1.23/1.49 (define @t1584 () (lambda @t150 @t169)) % 1.23/1.49 (define @t1585 () (lambda @t9 (not (= @t4 tptp.emptyset)))) % 1.23/1.49 (define @t1586 () (lambda @t311 @t716)) % 1.23/1.49 (define @t1587 () (_ @t522 @t675)) % 1.23/1.49 (define @t1588 () (lambda @t457 @t1587)) % 1.23/1.49 (define @t1589 () (@var "BOUND_VARIABLE_14651" $$unsorted)) % 1.23/1.49 (define @t1590 () (not (tptp.in @t1589 @t695))) % 1.23/1.49 (define @t1591 () (@var "BOUND_VARIABLE_14649" $$unsorted)) % 1.23/1.49 (define @t1592 () (tptp.in @t1589 (tptp.binunion @t695 @t1591))) % 1.23/1.49 (define @t1593 () (not (tptp.in @t1589 @t2))) % 1.23/1.49 (define @t1594 () (tptp.powerset @t2)) % 1.23/1.49 (define @t1595 () (not (tptp.in @t1591 @t1594))) % 1.23/1.49 (define @t1596 () (tptp.in @t695 @t1594)) % 1.23/1.49 (define @t1597 () (not @t1596)) % 1.23/1.49 (define @t1598 () (or @t1597 @t1595 @t1593 @t1592 @t1590)) % 1.23/1.49 (define @t1599 () (@list @t2 @t695 @t1591 @t1589)) % 1.23/1.49 (define @t1600 () (forall @t1599 @t1598)) % 1.23/1.49 (define @t1601 () (tptp.setminus @t2 @t695)) % 1.23/1.49 (define @t1602 () (@var "BOUND_VARIABLE_14601" $$unsorted)) % 1.23/1.49 (define @t1603 () (tptp.subset @t1602 @t1601)) % 1.23/1.49 (define @t1604 () (not (tptp.subset @t695 (tptp.setminus @t2 @t1602)))) % 1.23/1.49 (define @t1605 () (not (tptp.in @t1602 @t1594))) % 1.23/1.49 (define @t1606 () (or @t1597 @t1605 @t1604 @t1603)) % 1.23/1.49 (define @t1607 () (@list @t2 @t695 @t1602)) % 1.23/1.49 (define @t1608 () (@var "BOUND_VARIABLE_14568" $$unsorted)) % 1.23/1.49 (define @t1609 () (tptp.in @t1608 @t1601)) % 1.23/1.49 (define @t1610 () (@var "BOUND_VARIABLE_14566" $$unsorted)) % 1.23/1.49 (define @t1611 () (not (tptp.in @t1608 @t1610))) % 1.23/1.49 (define @t1612 () (not (tptp.in @t1608 @t2))) % 1.23/1.49 (define @t1613 () (not (tptp.subset @t695 (tptp.setminus @t2 @t1610)))) % 1.23/1.49 (define @t1614 () (not (tptp.in @t1610 @t1594))) % 1.23/1.49 (define @t1615 () (or @t1597 @t1614 @t1613 @t1612 @t1611 @t1609)) % 1.23/1.49 (define @t1616 () (@list @t2 @t695 @t1610 @t1608)) % 1.23/1.49 (define @t1617 () (@var "BOUND_VARIABLE_14518" $$unsorted)) % 1.23/1.49 (define @t1618 () (tptp.in @t1601 (tptp.powerset (tptp.setminus @t2 (tptp.binintersect @t695 @t1617))))) % 1.23/1.49 (define @t1619 () (not (tptp.in @t1617 @t1594))) % 1.23/1.49 (define @t1620 () (or @t1597 @t1619 @t1618)) % 1.23/1.49 (define @t1621 () (@list @t2 @t695 @t1617)) % 1.23/1.49 (define @t1622 () (@var "BOUND_VARIABLE_14489" $$unsorted)) % 1.23/1.49 (define @t1623 () (tptp.subset @t1601 (tptp.setminus @t2 (tptp.binintersect @t695 @t1622)))) % 1.23/1.49 (define @t1624 () (not (tptp.in @t1622 @t1594))) % 1.23/1.49 (define @t1625 () (or @t1597 @t1624 @t1623)) % 1.23/1.49 (define @t1626 () (@list @t2 @t695 @t1622)) % 1.23/1.49 (define @t1627 () (@var "BOUND_VARIABLE_14455" $$unsorted)) % 1.23/1.49 (define @t1628 () (@var "BOUND_VARIABLE_14457" $$unsorted)) % 1.23/1.49 (define @t1629 () (tptp.in @t1628 (tptp.setminus @t2 (tptp.binintersect @t695 @t1627)))) % 1.23/1.49 (define @t1630 () (not (tptp.in @t1628 @t1601))) % 1.23/1.49 (define @t1631 () (not (tptp.in @t1628 @t2))) % 1.23/1.49 (define @t1632 () (not (tptp.in @t1627 @t1594))) % 1.23/1.49 (define @t1633 () (or @t1597 @t1632 @t1631 @t1630 @t1629)) % 1.23/1.49 (define @t1634 () (@list @t2 @t695 @t1627 @t1628)) % 1.23/1.49 (define @t1635 () (@var "BOUND_VARIABLE_14400" $$unsorted)) % 1.23/1.49 (define @t1636 () (@var "BOUND_VARIABLE_14402" $$unsorted)) % 1.23/1.49 (define @t1637 () (not (tptp.in @t1636 (tptp.binintersect @t695 @t1635)))) % 1.23/1.49 (define @t1638 () (not (tptp.in @t1636 @t1601))) % 1.23/1.49 (define @t1639 () (not (tptp.in @t1636 @t2))) % 1.23/1.49 (define @t1640 () (not (tptp.in @t1635 @t1594))) % 1.23/1.49 (define @t1641 () (or @t1597 @t1640 @t1639 @t1638 @t1637)) % 1.23/1.49 (define @t1642 () (@list @t2 @t695 @t1635 @t1636)) % 1.23/1.49 (define @t1643 () (tptp.setminus @t2 @t1601)) % 1.23/1.49 (define @t1644 () (tptp.subset @t1643 @t695)) % 1.23/1.49 (define @t1645 () (tptp.subset @t695 @t1643)) % 1.23/1.49 (define @t1646 () (@var "BOUND_VARIABLE_14330" $$unsorted)) % 1.23/1.49 (define @t1647 () (tptp.in @t1646 @t695)) % 1.23/1.49 (define @t1648 () (not (tptp.in @t1646 @t1643))) % 1.23/1.49 (define @t1649 () (not (tptp.in @t1646 @t2))) % 1.23/1.49 (define @t1650 () (or @t1597 @t1649 @t1648 @t1647)) % 1.23/1.49 (define @t1651 () (@list @t2 @t695 @t1646)) % 1.23/1.49 (define @t1652 () (@var "BOUND_VARIABLE_14302" $$unsorted)) % 1.23/1.49 (define @t1653 () (tptp.in @t1652 @t1643)) % 1.23/1.49 (define @t1654 () (not (tptp.in @t1652 @t695))) % 1.23/1.49 (define @t1655 () (not (tptp.in @t1652 @t2))) % 1.23/1.49 (define @t1656 () (or @t1597 @t1655 @t1654 @t1653)) % 1.23/1.49 (define @t1657 () (@list @t2 @t695 @t1652)) % 1.23/1.49 (define @t1658 () (@var "BOUND_VARIABLE_14271" $$unsorted)) % 1.23/1.49 (define @t1659 () (tptp.subset @t695 @t1658)) % 1.23/1.49 (define @t1660 () (not (tptp.subset (tptp.setminus @t2 @t1658) @t1601))) % 1.23/1.49 (define @t1661 () (not (tptp.in @t1658 @t1594))) % 1.23/1.49 (define @t1662 () (or @t1597 @t1661 @t1660 @t1659)) % 1.23/1.49 (define @t1663 () (@list @t2 @t695 @t1658)) % 1.23/1.49 (define @t1664 () (@var "BOUND_VARIABLE_14242" $$unsorted)) % 1.23/1.49 (define @t1665 () (tptp.subset (tptp.setminus @t2 @t1664) @t1601)) % 1.23/1.49 (define @t1666 () (not (tptp.subset @t695 @t1664))) % 1.23/1.49 (define @t1667 () (not (tptp.in @t1664 @t1594))) % 1.23/1.49 (define @t1668 () (or @t1597 @t1667 @t1666 @t1665)) % 1.23/1.49 (define @t1669 () (@list @t2 @t695 @t1664)) % 1.23/1.49 (define @t1670 () (@var "BOUND_VARIABLE_14209" $$unsorted)) % 1.23/1.49 (define @t1671 () (not (tptp.in @t1670 @t695))) % 1.23/1.49 (define @t1672 () (@var "BOUND_VARIABLE_14207" $$unsorted)) % 1.23/1.49 (define @t1673 () (tptp.in @t1670 @t1672)) % 1.23/1.49 (define @t1674 () (not (tptp.in @t1670 @t2))) % 1.23/1.49 (define @t1675 () (not (tptp.subset @t695 @t1672))) % 1.23/1.49 (define @t1676 () (not (tptp.in @t1672 @t1594))) % 1.23/1.49 (define @t1677 () (or @t1597 @t1676 @t1675 @t1674 @t1673 @t1671)) % 1.23/1.49 (define @t1678 () (@list @t2 @t695 @t1672 @t1670)) % 1.23/1.49 (define @t1679 () (@var "BOUND_VARIABLE_14149" $$unsorted)) % 1.23/1.49 (define @t1680 () (not (tptp.in @t1679 @t695))) % 1.23/1.49 (define @t1681 () (@var "BOUND_VARIABLE_14147" $$unsorted)) % 1.23/1.49 (define @t1682 () (not (tptp.in @t1679 @t1681))) % 1.23/1.49 (define @t1683 () (not (tptp.in @t1679 @t2))) % 1.23/1.49 (define @t1684 () (not (tptp.subset @t695 (tptp.setminus @t2 @t1681)))) % 1.23/1.49 (define @t1685 () (not (tptp.in @t1681 @t1594))) % 1.23/1.49 (define @t1686 () (or @t1597 @t1685 @t1684 @t1683 @t1682 @t1680)) % 1.23/1.49 (define @t1687 () (@list @t2 @t695 @t1681 @t1679)) % 1.23/1.49 (define @t1688 () (@var "BOUND_VARIABLE_14086" $$unsorted)) % 1.23/1.49 (define @t1689 () (@var "BOUND_VARIABLE_14088" $$unsorted)) % 1.23/1.49 (define @t1690 () (not (tptp.in @t1689 (tptp.binintersect @t695 @t1688)))) % 1.23/1.49 (define @t1691 () (tptp.in @t1689 @t1688)) % 1.23/1.49 (define @t1692 () (not (tptp.in @t1689 @t2))) % 1.23/1.49 (define @t1693 () (not (tptp.in @t1688 @t1594))) % 1.23/1.49 (define @t1694 () (or @t1597 @t1693 @t1692 @t1691 @t1690)) % 1.23/1.49 (define @t1695 () (@list @t2 @t695 @t1688 @t1689)) % 1.23/1.49 (define @t1696 () (@var "BOUND_VARIABLE_14036" $$unsorted)) % 1.23/1.49 (define @t1697 () (@var "BOUND_VARIABLE_14038" $$unsorted)) % 1.23/1.49 (define @t1698 () (not (tptp.in @t1697 (tptp.binintersect @t695 @t1696)))) % 1.23/1.49 (define @t1699 () (tptp.in @t1697 @t695)) % 1.23/1.49 (define @t1700 () (not (tptp.in @t1697 @t2))) % 1.23/1.49 (define @t1701 () (not (tptp.in @t1696 @t1594))) % 1.23/1.49 (define @t1702 () (or @t1597 @t1701 @t1700 @t1699 @t1698)) % 1.23/1.49 (define @t1703 () (@list @t2 @t695 @t1696 @t1697)) % 1.23/1.49 (define @t1704 () (@var "BOUND_VARIABLE_13989" $$unsorted)) % 1.23/1.49 (define @t1705 () (tptp.in @t1704 @t695)) % 1.23/1.49 (define @t1706 () (tptp.in @t1704 @t1601)) % 1.23/1.49 (define @t1707 () (not (tptp.in @t1704 @t2))) % 1.23/1.49 (define @t1708 () (or @t1597 @t1707 @t1706 @t1705)) % 1.23/1.49 (define @t1709 () (@list @t2 @t695 @t1704)) % 1.23/1.49 (define @t1710 () (@var "BOUND_VARIABLE_13962" $$unsorted)) % 1.23/1.49 (define @t1711 () (not (tptp.in @t1710 @t1601))) % 1.23/1.49 (define @t1712 () (not (tptp.in @t1710 @t695))) % 1.23/1.49 (define @t1713 () (not (tptp.in @t1710 @t2))) % 1.23/1.49 (define @t1714 () (or @t1597 @t1713 @t1712 @t1711)) % 1.23/1.49 (define @t1715 () (@list @t2 @t695 @t1710)) % 1.23/1.49 (define @t1716 () (@var "BOUND_VARIABLE_13926" $$unsorted)) % 1.23/1.49 (define @t1717 () (@var "BOUND_VARIABLE_13928" $$unsorted)) % 1.23/1.49 (define @t1718 () (tptp.in @t1717 @t1716)) % 1.23/1.49 (define @t1719 () (not (tptp.in @t1717 @t695))) % 1.23/1.49 (define @t1720 () (not (tptp.in @t1717 @t2))) % 1.23/1.49 (define @t1721 () (not (tptp.in @t695 (tptp.powerset @t1716)))) % 1.23/1.49 (define @t1722 () (not (tptp.in @t1716 @t1594))) % 1.23/1.49 (define @t1723 () (or @t1597 @t1722 @t1721 @t1720 @t1719 @t1718)) % 1.23/1.49 (define @t1724 () (@list @t2 @t695 @t1716 @t1717)) % 1.23/1.49 (define @t1725 () (@var "BOUND_VARIABLE_13876" $$unsorted)) % 1.23/1.49 (define @t1726 () (tptp.in @t695 (tptp.powerset @t1725))) % 1.23/1.49 (define @t1727 () (tptp.in @t4 @t695)) % 1.23/1.49 (define @t1728 () (not @t1727)) % 1.23/1.49 (define @t1729 () (tptp.in @t4 @t2)) % 1.23/1.49 (define @t1730 () (not @t1729)) % 1.23/1.49 (define @t1731 () (not (forall @t9 (or @t1730 @t1728 (tptp.in @t4 @t1725))))) % 1.23/1.49 (define @t1732 () (not (tptp.in @t1725 @t1594))) % 1.23/1.49 (define @t1733 () (or @t1597 @t1732 @t1731 @t1726)) % 1.23/1.49 (define @t1734 () (@list @t2 @t695 @t1725)) % 1.23/1.49 (define @t1735 () (@var "BOUND_VARIABLE_13842" $$unsorted)) % 1.23/1.49 (define @t1736 () (tptp.subset @t695 @t1735)) % 1.23/1.49 (define @t1737 () (not (forall @t9 (or @t1730 @t1728 (tptp.in @t4 @t1735))))) % 1.23/1.49 (define @t1738 () (not (tptp.in @t1735 @t1594))) % 1.23/1.49 (define @t1739 () (or @t1597 @t1738 @t1737 @t1736)) % 1.23/1.49 (define @t1740 () (@list @t2 @t695 @t1735)) % 1.23/1.49 (define @t1741 () (@var "BOUND_VARIABLE_13806" $$unsorted)) % 1.23/1.49 (define @t1742 () (= @t695 @t1741)) % 1.23/1.49 (define @t1743 () (tptp.in @t4 @t1741)) % 1.23/1.49 (define @t1744 () (not (forall @t9 (or @t1730 (not @t1743) @t1727)))) % 1.23/1.49 (define @t1745 () (not (forall @t9 (or @t1730 @t1728 @t1743)))) % 1.23/1.49 (define @t1746 () (not (tptp.in @t1741 @t1594))) % 1.23/1.49 (define @t1747 () (or @t1597 @t1746 @t1745 @t1744 @t1742)) % 1.23/1.49 (define @t1748 () (@list @t2 @t695 @t1741)) % 1.23/1.49 (define @t1749 () (tptp.in @t1601 @t1594)) % 1.23/1.49 (define @t1750 () (@var "BOUND_VARIABLE_13752" $$unsorted)) % 1.23/1.49 (define @t1751 () (tptp.in (tptp.setminus @t695 @t1750) @t1594)) % 1.23/1.49 (define @t1752 () (not (tptp.in @t1750 @t1594))) % 1.23/1.49 (define @t1753 () (or @t1597 @t1752 @t1751)) % 1.23/1.49 (define @t1754 () (@list @t2 @t695 @t1750)) % 1.23/1.49 (define @t1755 () (tptp.powerset @t1594)) % 1.23/1.49 (define @t1756 () (tptp.powerset @t695)) % 1.23/1.49 (define @t1757 () (tptp.in @t1756 @t1755)) % 1.23/1.49 (define @t1758 () (@var "BOUND_VARIABLE_13712" $$unsorted)) % 1.23/1.49 (define @t1759 () (tptp.in (tptp.binunion @t695 @t1758) @t1594)) % 1.23/1.49 (define @t1760 () (not (tptp.in @t1758 @t1594))) % 1.23/1.49 (define @t1761 () (or @t1597 @t1760 @t1759)) % 1.23/1.49 (define @t1762 () (@list @t2 @t695 @t1758)) % 1.23/1.49 (define @t1763 () (@var "BOUND_VARIABLE_13684" $$unsorted)) % 1.23/1.49 (define @t1764 () (tptp.in (tptp.binintersect @t695 @t1763) @t1594)) % 1.23/1.49 (define @t1765 () (not (tptp.in @t1763 @t1594))) % 1.23/1.49 (define @t1766 () (or @t1597 @t1765 @t1764)) % 1.23/1.49 (define @t1767 () (@list @t2 @t695 @t1763)) % 1.23/1.49 (define @t1768 () (@var "BOUND_VARIABLE_13646" $$unsorted)) % 1.23/1.49 (define @t1769 () (tptp.in (tptp.if @t2 @t173 @t4 @t1768) (tptp.setadjoin @t4 (tptp.setadjoin @t1768 tptp.emptyset)))) % 1.23/1.49 (define @t1770 () (not (tptp.in @t1768 @t2))) % 1.23/1.49 (define @t1771 () (or @t1730 @t1770 @t1769)) % 1.23/1.49 (define @t1772 () (@list @t2 @t173 @t4 @t1768)) % 1.23/1.49 (define @t1773 () (@var "BOUND_VARIABLE_13613" $$unsorted)) % 1.23/1.49 (define @t1774 () (= @t1773 (tptp.if @t2 false @t4 @t1773))) % 1.23/1.49 (define @t1775 () (not (tptp.in @t1773 @t2))) % 1.23/1.49 (define @t1776 () (or @t1730 @t1775 @t1774)) % 1.23/1.49 (define @t1777 () (@list @t2 @t4 @t1773)) % 1.23/1.49 (define @t1778 () (@var "BOUND_VARIABLE_13571" $$unsorted)) % 1.23/1.49 (define @t1779 () (= @t4 (tptp.if @t2 true @t4 @t1778))) % 1.23/1.49 (define @t1780 () (not (tptp.in @t1778 @t2))) % 1.23/1.49 (define @t1781 () (or @t1730 @t1780 @t1779)) % 1.23/1.49 (define @t1782 () (@list @t2 @t4 @t1778)) % 1.23/1.49 (define @t1783 () (@var "BOUND_VARIABLE_13536" $$unsorted)) % 1.23/1.49 (define @t1784 () (tptp.setunion @t695)) % 1.23/1.49 (define @t1785 () (not (tptp.in @t1783 @t695))) % 1.23/1.49 (define @t1786 () (tptp.singleton @t695)) % 1.23/1.49 (define @t1787 () (not @t1786)) % 1.23/1.49 (define @t1788 () (@list @t695 @t1783)) % 1.23/1.49 (define @t1789 () (@var "BOUND_VARIABLE_13508" $$unsorted)) % 1.23/1.49 (define @t1790 () (tptp.in (tptp.if @t2 @t173 @t4 @t1789) @t2)) % 1.23/1.49 (define @t1791 () (not (tptp.in @t1789 @t2))) % 1.23/1.49 (define @t1792 () (or @t1730 @t1791 @t1790)) % 1.23/1.49 (define @t1793 () (@list @t2 @t173 @t4 @t1789)) % 1.23/1.49 (define @t1794 () (@var "BOUND_VARIABLE_13469" $$unsorted)) % 1.23/1.49 (define @t1795 () (and @t173 @t744)) % 1.23/1.49 (define @t1796 () (not (tptp.in @t1794 @t2))) % 1.23/1.49 (define @t1797 () (@list @t2 @t173 @t4 @t1794)) % 1.23/1.49 (define @t1798 () (tptp.dsetconstr @t2 (lambda @t1065 @t744))) % 1.23/1.49 (define @t1799 () (tptp.setadjoin @t4 tptp.emptyset)) % 1.23/1.49 (define @t1800 () (= @t1799 @t1798)) % 1.23/1.49 (define @t1801 () (@var "BOUND_VARIABLE_13416" $$unsorted)) % 1.23/1.49 (define @t1802 () (not (tptp.in @t1801 @t2))) % 1.23/1.49 (define @t1803 () (or @t1730 @t1802 @t1800)) % 1.23/1.49 (define @t1804 () (@list @t2 @t4 @t1801)) % 1.23/1.49 (define @t1805 () (tptp.in @t4 @t1798)) % 1.23/1.49 (define @t1806 () (@var "BOUND_VARIABLE_13353" $$unsorted)) % 1.23/1.49 (define @t1807 () (not (tptp.in @t1806 @t2))) % 1.23/1.49 (define @t1808 () (or @t1730 @t1807 @t1805)) % 1.23/1.49 (define @t1809 () (@list @t2 @t4 @t1806)) % 1.23/1.49 (define @t1810 () (@var "BOUND_VARIABLE_13290" $$unsorted)) % 1.23/1.49 (define @t1811 () (= @t289 @t1810)) % 1.23/1.49 (define @t1812 () (tptp.setadjoin @t1810 tptp.emptyset)) % 1.23/1.49 (define @t1813 () (not (tptp.in @t1810 @t2))) % 1.23/1.49 (define @t1814 () (@list @t2 @t4 @t1810)) % 1.23/1.49 (define @t1815 () (@var "BOUND_VARIABLE_13227" $$unsorted)) % 1.23/1.49 (define @t1816 () (= @t289 @t1815)) % 1.23/1.49 (define @t1817 () (not (tptp.in @t1815 @t2))) % 1.23/1.49 (define @t1818 () (@list @t2 @t4 @t1815)) % 1.23/1.49 (define @t1819 () (tptp.ap @t2 @t1 @t878 @t4)) % 1.23/1.49 (define @t1820 () (lambda @t9 @t1819)) % 1.23/1.49 (define @t1821 () (tptp.lam @t2 @t1 @t1820)) % 1.23/1.49 (define @t1822 () (= @t878 @t1821)) % 1.23/1.49 (define @t1823 () (tptp.funcSet @t2 @t1)) % 1.23/1.49 (define @t1824 () (tptp.in @t878 @t1823)) % 1.23/1.49 (define @t1825 () (not @t1824)) % 1.23/1.49 (define @t1826 () (@var "BOUND_VARIABLE_13156" $$unsorted)) % 1.23/1.49 (define @t1827 () (tptp.lam @t2 @t1 @t913)) % 1.23/1.49 (define @t1828 () (= (_ @t913 @t1826) (tptp.ap @t2 @t1 @t1827 @t1826))) % 1.23/1.49 (define @t1829 () (not (tptp.in @t1826 @t2))) % 1.23/1.49 (define @t1830 () (_ @t913 @t4)) % 1.23/1.49 (define @t1831 () (tptp.in @t1830 @t1)) % 1.23/1.49 (define @t1832 () (forall @t9 (or @t1730 @t1831))) % 1.23/1.49 (define @t1833 () (not @t1832)) % 1.23/1.49 (define @t1834 () (or @t1833 @t1829 @t1828)) % 1.23/1.49 (define @t1835 () (@list @t2 @t1 @t913 @t1826)) % 1.23/1.49 (define @t1836 () (forall @t1835 @t1834)) % 1.23/1.49 (define @t1837 () (=> @t1836 (=> (forall @t887 (or @t1825 @t1822)) (=> (forall @t1818 (or @t1730 @t1817 (tptp.in @t1815 (tptp.dsetconstr @t2 (lambda @t1065 @t1816))))) (=> (forall @t1814 (or @t1730 @t1813 (= @t1812 (tptp.dsetconstr @t2 (lambda @t1065 @t1811))))) (=> (forall @t1809 @t1808) (=> (forall @t1804 @t1803) (=> (forall @t1797 (or @t1730 @t1796 (tptp.singleton (tptp.dsetconstr @t2 (lambda @t1065 (or @t1795 (and @t1061 (= @t289 @t1794)))))))) (=> (forall @t1793 @t1792) (=> (forall @t1788 (or @t1787 @t1785 (= @t1784 @t1783))) (=> (forall @t1782 @t1781) (=> (forall @t1777 @t1776) (=> (forall @t1772 @t1771) (=> (forall @t1767 @t1766) (=> (forall @t1762 @t1761) (=> (forall @t1138 (or @t1597 @t1757)) (=> (forall @t1754 @t1753) (=> (forall @t1138 (or @t1597 @t1749)) (=> (forall @t1748 @t1747) (=> (forall @t1740 @t1739) (=> (forall @t1734 @t1733) (=> (forall @t1724 @t1723) (=> (forall @t1715 @t1714) (=> (forall @t1709 @t1708) (=> (forall @t1703 @t1702) (=> (forall @t1695 @t1694) (=> (forall @t1687 @t1686) (=> (forall @t1678 @t1677) (=> (forall @t1669 @t1668) (=> (forall @t1663 @t1662) (=> (forall @t1657 @t1656) (=> (forall @t1651 @t1650) (=> (forall @t1138 (or @t1597 @t1645)) (=> (forall @t1138 (or @t1597 @t1644)) (=> (forall @t1138 (or @t1597 (= @t695 @t1643))) (=> (forall @t1642 @t1641) (=> (forall @t1634 @t1633) (=> (forall @t1626 @t1625) (=> (forall @t1621 @t1620) (=> (forall @t1616 @t1615) (=> (forall @t1607 @t1606) @t1600))))))))))))))))))))))))))))))))))))))))) % 1.23/1.49 (define @t1838 () (tptp.func @t2 @t1 @t878)) % 1.23/1.49 (define @t1839 () (not @t1838)) % 1.23/1.49 (define @t1840 () (forall @t887 (or @t1839 @t1822))) % 1.23/1.49 (define @t1841 () (@var "BOUND_VARIABLE_13107" $$unsorted)) % 1.23/1.49 (define @t1842 () (= @t878 @t1841)) % 1.23/1.49 (define @t1843 () (not (forall @t9 (or @t1730 (= @t1819 (tptp.ap @t2 @t1 @t1841 @t4)))))) % 1.23/1.49 (define @t1844 () (not (tptp.in @t1841 @t1823))) % 1.23/1.49 (define @t1845 () (or @t1825 @t1844 @t1843 @t1842)) % 1.23/1.49 (define @t1846 () (@list @t2 @t1 @t878 @t1841)) % 1.23/1.49 (define @t1847 () (forall @t1846 @t1845)) % 1.23/1.49 (define @t1848 () (@var "BOUND_VARIABLE_13073" $$unsorted)) % 1.23/1.49 (define @t1849 () (= @t878 @t1848)) % 1.23/1.49 (define @t1850 () (not (forall @t9 (or @t1730 (= @t1819 (tptp.ap @t2 @t1 @t1848 @t4)))))) % 1.23/1.49 (define @t1851 () (not (tptp.func @t2 @t1 @t1848))) % 1.23/1.49 (define @t1852 () (or @t1839 @t1851 @t1850 @t1849)) % 1.23/1.49 (define @t1853 () (@list @t2 @t1 @t878 @t1848)) % 1.23/1.49 (define @t1854 () (forall @t1853 @t1852)) % 1.23/1.49 (define @t1855 () (@var "BOUND_VARIABLE_13037" $$unsorted)) % 1.23/1.49 (define @t1856 () (= @t933 @t1855)) % 1.23/1.49 (define @t1857 () (@var "BOUND_VARIABLE_13006" $$unsorted)) % 1.23/1.49 (define @t1858 () (tptp.kpair @t4 @t1857)) % 1.23/1.49 (define @t1859 () (tptp.in @t1858 @t933)) % 1.23/1.49 (define @t1860 () (not (tptp.in @t1857 @t1))) % 1.23/1.49 (define @t1861 () (@list @t4 @t1857)) % 1.23/1.49 (define @t1862 () (not (forall @t1861 (or @t1730 @t1860 (not (tptp.in @t1858 @t1855)) @t1859)))) % 1.23/1.49 (define @t1863 () (@var "BOUND_VARIABLE_12937" $$unsorted)) % 1.23/1.49 (define @t1864 () (tptp.kpair @t4 @t1863)) % 1.23/1.49 (define @t1865 () (not (tptp.in @t1864 @t933))) % 1.23/1.49 (define @t1866 () (not (tptp.in @t1863 @t1))) % 1.23/1.49 (define @t1867 () (@list @t4 @t1863)) % 1.23/1.49 (define @t1868 () (not (forall @t1867 (or @t1730 @t1866 @t1865 (tptp.in @t1864 @t1855))))) % 1.23/1.49 (define @t1869 () (tptp.cartprod @t2 @t1)) % 1.23/1.49 (define @t1870 () (not (tptp.subset @t1855 @t1869))) % 1.23/1.49 (define @t1871 () (tptp.subset @t933 @t1869)) % 1.23/1.49 (define @t1872 () (not @t1871)) % 1.23/1.49 (define @t1873 () (or @t1872 @t1870 @t1868 @t1862 @t1856)) % 1.23/1.49 (define @t1874 () (@list @t2 @t1 @t933 @t1855)) % 1.23/1.49 (define @t1875 () (forall @t1874 @t1873)) % 1.23/1.49 (define @t1876 () (@var "BOUND_VARIABLE_12971" $$unsorted)) % 1.23/1.49 (define @t1877 () (tptp.subset @t933 @t1876)) % 1.23/1.49 (define @t1878 () (not (forall @t1867 (or @t1730 @t1866 @t1865 (tptp.in @t1864 @t1876))))) % 1.23/1.49 (define @t1879 () (not (tptp.subset @t1876 @t1869))) % 1.23/1.49 (define @t1880 () (or @t1872 @t1879 @t1878 @t1877)) % 1.23/1.49 (define @t1881 () (@list @t2 @t1 @t933 @t1876)) % 1.23/1.49 (define @t1882 () (forall @t1881 @t1880)) % 1.23/1.49 (define @t1883 () (@var "BOUND_VARIABLE_12892" $$unsorted)) % 1.23/1.49 (define @t1884 () (tptp.ap @t2 @t1 @t878 @t1883)) % 1.23/1.49 (define @t1885 () (@var "BOUND_VARIABLE_12894" $$unsorted)) % 1.23/1.49 (define @t1886 () (not (tptp.in (tptp.kpair @t1883 @t1885) @t878))) % 1.23/1.49 (define @t1887 () (not (tptp.in @t1885 @t1))) % 1.23/1.49 (define @t1888 () (not (tptp.in @t1883 @t2))) % 1.23/1.49 (define @t1889 () (@list @t2 @t1 @t878 @t1883 @t1885)) % 1.23/1.49 (define @t1890 () (forall @t1889 (or @t1825 @t1888 @t1887 @t1886 (= @t1885 @t1884)))) % 1.23/1.49 (define @t1891 () (@var "BOUND_VARIABLE_12861" $$unsorted)) % 1.23/1.49 (define @t1892 () (@var "BOUND_VARIABLE_12859" $$unsorted)) % 1.23/1.49 (define @t1893 () (tptp.kpair @t1892 @t1891)) % 1.23/1.49 (define @t1894 () (tptp.in @t1893 @t878)) % 1.23/1.49 (define @t1895 () (@var "BOUND_VARIABLE_12857" $$unsorted)) % 1.23/1.49 (define @t1896 () (not (tptp.in @t1893 @t1895))) % 1.23/1.49 (define @t1897 () (not (tptp.in @t1891 @t1))) % 1.23/1.49 (define @t1898 () (not (tptp.in @t1892 @t2))) % 1.23/1.49 (define @t1899 () (not (forall @t9 (or @t1730 (= @t1819 (tptp.ap @t2 @t1 @t1895 @t4)))))) % 1.23/1.49 (define @t1900 () (not (tptp.func @t2 @t1 @t1895))) % 1.23/1.49 (define @t1901 () (or @t1839 @t1900 @t1899 @t1898 @t1897 @t1896 @t1894)) % 1.23/1.49 (define @t1902 () (@list @t2 @t1 @t878 @t1895 @t1892 @t1891)) % 1.23/1.49 (define @t1903 () (forall @t1902 @t1901)) % 1.23/1.49 (define @t1904 () (@var "BOUND_VARIABLE_12763" $$unsorted)) % 1.23/1.49 (define @t1905 () (tptp.ap @t2 @t1 @t878 @t1904)) % 1.23/1.49 (define @t1906 () (@var "BOUND_VARIABLE_12765" $$unsorted)) % 1.23/1.49 (define @t1907 () (not (tptp.in (tptp.kpair @t1904 @t1906) @t878))) % 1.23/1.49 (define @t1908 () (not (tptp.in @t1906 @t1))) % 1.23/1.49 (define @t1909 () (not (tptp.in @t1904 @t2))) % 1.23/1.49 (define @t1910 () (@list @t2 @t1 @t878 @t1904 @t1906)) % 1.23/1.49 (define @t1911 () (forall @t1910 (or @t1839 @t1909 @t1908 @t1907 (= @t1906 @t1905)))) % 1.23/1.49 (define @t1912 () (@var "BOUND_VARIABLE_12708" $$unsorted)) % 1.23/1.49 (define @t1913 () (tptp.in (tptp.kpair @t1912 (tptp.ap @t2 @t1 @t878 @t1912)) @t878)) % 1.23/1.49 (define @t1914 () (not (tptp.in @t1912 @t2))) % 1.23/1.49 (define @t1915 () (or @t1825 @t1914 @t1913)) % 1.23/1.49 (define @t1916 () (@list @t2 @t1 @t878 @t1912)) % 1.23/1.49 (define @t1917 () (forall @t1916 @t1915)) % 1.23/1.49 (define @t1918 () (@var "BOUND_VARIABLE_12687" $$unsorted)) % 1.23/1.49 (define @t1919 () (tptp.in (tptp.kpair @t1918 (tptp.ap @t2 @t1 @t878 @t1918)) @t878)) % 1.23/1.49 (define @t1920 () (not (tptp.in @t1918 @t2))) % 1.23/1.49 (define @t1921 () (or @t1839 @t1920 @t1919)) % 1.23/1.49 (define @t1922 () (@list @t2 @t1 @t878 @t1918)) % 1.23/1.49 (define @t1923 () (forall @t1922 @t1921)) % 1.23/1.49 (define @t1924 () (@var "BOUND_VARIABLE_12653" $$unsorted)) % 1.23/1.49 (define @t1925 () (@var "BOUND_VARIABLE_12651" $$unsorted)) % 1.23/1.49 (define @t1926 () (= @t1925 @t1924)) % 1.23/1.49 (define @t1927 () (not (_ @t143 @t1924))) % 1.23/1.49 (define @t1928 () (not (tptp.in @t1924 @t2))) % 1.23/1.49 (define @t1929 () (not (_ @t143 @t1925))) % 1.23/1.49 (define @t1930 () (not (tptp.in @t1925 @t2))) % 1.23/1.49 (define @t1931 () (tptp.dsetconstr @t2 @t143)) % 1.23/1.49 (define @t1932 () (tptp.singleton @t1931)) % 1.23/1.49 (define @t1933 () (not @t1932)) % 1.23/1.49 (define @t1934 () (or @t1933 @t1930 @t1929 @t1928 @t1927 @t1926)) % 1.23/1.49 (define @t1935 () (@list @t2 @t143 @t1925 @t1924)) % 1.23/1.49 (define @t1936 () (forall @t1935 @t1934)) % 1.23/1.49 (define @t1937 () (@var "BOUND_VARIABLE_12620" $$unsorted)) % 1.23/1.49 (define @t1938 () (@var "BOUND_VARIABLE_12618" (-> $$unsorted Bool))) % 1.23/1.49 (define @t1939 () (_ @t1938 @t1937)) % 1.23/1.49 (define @t1940 () (not (tptp.in @t1937 @t933))) % 1.23/1.49 (define @t1941 () (@var "BOUND_VARIABLE_12571" $$unsorted)) % 1.23/1.49 (define @t1942 () (tptp.kpair @t4 @t1941)) % 1.23/1.49 (define @t1943 () (not (tptp.in @t1942 @t933))) % 1.23/1.49 (define @t1944 () (not (tptp.in @t1941 @t1))) % 1.23/1.49 (define @t1945 () (@list @t4 @t1941)) % 1.23/1.49 (define @t1946 () (not (forall @t1945 (or @t1730 @t1944 @t1943 (_ @t1938 @t1942))))) % 1.23/1.49 (define @t1947 () (or @t1872 @t1946 @t1940 @t1939)) % 1.23/1.49 (define @t1948 () (@list @t2 @t1 @t933 @t1938 @t1937)) % 1.23/1.49 (define @t1949 () (forall @t1948 @t1947)) % 1.23/1.49 (define @t1950 () (forall @t919 (or @t1833 (tptp.in @t1827 @t1823)))) % 1.23/1.49 (define @t1951 () (forall @t919 (or @t1833 (tptp.func @t2 @t1 @t1827)))) % 1.23/1.49 (define @t1952 () (= @t19 @t1830)) % 1.23/1.49 (define @t1953 () (lambda @t135 @t1952)) % 1.23/1.49 (define @t1954 () (tptp.dpsetconstr @t2 @t1 @t1953)) % 1.23/1.49 (define @t1955 () (tptp.func @t2 @t1 @t1954)) % 1.23/1.49 (define @t1956 () (forall @t919 (or @t1833 @t1955))) % 1.23/1.49 (define @t1957 () (forall @t887 (or @t1839 @t1824))) % 1.23/1.49 (define @t1958 () (@var "BOUND_VARIABLE_12468" $$unsorted)) % 1.23/1.49 (define @t1959 () (tptp.in (tptp.ap @t2 @t1 @t878 @t1958) @t1)) % 1.23/1.49 (define @t1960 () (not (tptp.in @t1958 @t2))) % 1.23/1.49 (define @t1961 () (or @t1825 @t1960 @t1959)) % 1.23/1.49 (define @t1962 () (@list @t2 @t1 @t878 @t1958)) % 1.23/1.49 (define @t1963 () (forall @t1962 @t1961)) % 1.23/1.49 (define @t1964 () (forall @t887 (or @t1825 @t1838))) % 1.23/1.49 (define @t1965 () (@var "BOUND_VARIABLE_12437" $$unsorted)) % 1.23/1.49 (define @t1966 () (tptp.in (tptp.ap @t2 @t1 @t878 @t1965) @t1)) % 1.23/1.49 (define @t1967 () (not (tptp.in @t1965 @t2))) % 1.23/1.49 (define @t1968 () (or @t1839 @t1967 @t1966)) % 1.23/1.49 (define @t1969 () (@list @t2 @t1 @t878 @t1965)) % 1.23/1.49 (define @t1970 () (forall @t1969 @t1968)) % 1.23/1.49 (define @t1971 () (@var "BOUND_VARIABLE_12405" $$unsorted)) % 1.23/1.49 (define @t1972 () (tptp.in (tptp.setunion (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1971 @t19) @t878)))) @t1)) % 1.23/1.49 (define @t1973 () (not (tptp.in @t1971 @t2))) % 1.23/1.49 (define @t1974 () (or @t1839 @t1973 @t1972)) % 1.23/1.49 (define @t1975 () (@list @t2 @t1 @t878 @t1971)) % 1.23/1.49 (define @t1976 () (forall @t1975 @t1974)) % 1.23/1.49 (define @t1977 () (@var "BOUND_VARIABLE_12373" $$unsorted)) % 1.23/1.49 (define @t1978 () (tptp.singleton (tptp.dsetconstr @t1 (lambda @t70 (tptp.in (tptp.kpair @t1977 @t19) @t878))))) % 1.23/1.49 (define @t1979 () (not (tptp.in @t1977 @t2))) % 1.23/1.49 (define @t1980 () (or @t1839 @t1979 @t1978)) % 1.23/1.49 (define @t1981 () (@list @t2 @t1 @t878 @t1977)) % 1.23/1.49 (define @t1982 () (forall @t1981 @t1980)) % 1.23/1.49 (define @t1983 () (_ @t67 @t4 @t19)) % 1.23/1.49 (define @t1984 () (tptp.dpsetconstr @t2 @t1 @t67)) % 1.23/1.49 (define @t1985 () (tptp.kpair @t4 @t19)) % 1.23/1.49 (define @t1986 () (tptp.in @t1985 @t1984)) % 1.23/1.49 (define @t1987 () (not @t1986)) % 1.23/1.49 (define @t1988 () (forall @t871 (or @t1987 @t1983))) % 1.23/1.49 (define @t1989 () (tptp.in @t19 @t1)) % 1.23/1.49 (define @t1990 () (forall @t871 (or @t1987 @t1989))) % 1.23/1.49 (define @t1991 () (forall @t871 (or @t1987 @t1729))) % 1.23/1.49 (define @t1992 () (@var "BOUND_VARIABLE_12314" $$unsorted)) % 1.23/1.49 (define @t1993 () (_ @t67 @t4 @t1992)) % 1.23/1.49 (define @t1994 () (not (tptp.in (tptp.kpair @t4 @t1992) @t1984))) % 1.23/1.49 (define @t1995 () (not (tptp.in @t1992 @t1))) % 1.23/1.49 (define @t1996 () (or @t1730 @t1995 @t1994 @t1993)) % 1.23/1.49 (define @t1997 () (@list @t2 @t1 @t67 @t4 @t1992)) % 1.23/1.49 (define @t1998 () (forall @t1997 @t1996)) % 1.23/1.49 (define @t1999 () (forall @t860 (tptp.subset @t1984 @t1869))) % 1.23/1.49 (define @t2000 () (@var "BOUND_VARIABLE_12258" $$unsorted)) % 1.23/1.49 (define @t2001 () (tptp.in (tptp.kpair @t4 @t2000) @t1984)) % 1.23/1.49 (define @t2002 () (not (_ @t67 @t4 @t2000))) % 1.23/1.49 (define @t2003 () (not (tptp.in @t2000 @t1))) % 1.23/1.49 (define @t2004 () (or @t1730 @t2003 @t2002 @t2001)) % 1.23/1.49 (define @t2005 () (@list @t2 @t1 @t67 @t4 @t2000)) % 1.23/1.49 (define @t2006 () (forall @t2005 @t2004)) % 1.23/1.49 (define @t2007 () (tptp.ksnd @t383)) % 1.23/1.49 (define @t2008 () (tptp.kfst @t383)) % 1.23/1.49 (define @t2009 () (tptp.kpair @t2008 @t2007)) % 1.23/1.49 (define @t2010 () (= @t383 @t2009)) % 1.23/1.49 (define @t2011 () (tptp.in @t383 @t1869)) % 1.23/1.49 (define @t2012 () (not @t2011)) % 1.23/1.49 (define @t2013 () (forall @t689 (or @t2012 @t2010))) % 1.23/1.49 (define @t2014 () (@var "BOUND_VARIABLE_12210" $$unsorted)) % 1.23/1.49 (define @t2015 () (= @t2014 (tptp.ksnd (tptp.kpair @t4 @t2014)))) % 1.23/1.49 (define @t2016 () (not (tptp.in @t2014 @t1))) % 1.23/1.49 (define @t2017 () (or @t1730 @t2016 @t2015)) % 1.23/1.49 (define @t2018 () (@list @t2 @t1 @t4 @t2014)) % 1.23/1.49 (define @t2019 () (forall @t2018 @t2017)) % 1.23/1.49 (define @t2020 () (@var "BOUND_VARIABLE_12183" $$unsorted)) % 1.23/1.49 (define @t2021 () (= @t4 (tptp.kfst (tptp.kpair @t4 @t2020)))) % 1.23/1.49 (define @t2022 () (not (tptp.in @t2020 @t1))) % 1.23/1.49 (define @t2023 () (or @t1730 @t2022 @t2021)) % 1.23/1.49 (define @t2024 () (@list @t2 @t1 @t4 @t2020)) % 1.23/1.49 (define @t2025 () (forall @t2024 @t2023)) % 1.23/1.49 (define @t2026 () (tptp.in @t1985 @t1869)) % 1.23/1.49 (define @t2027 () (not @t2026)) % 1.23/1.49 (define @t2028 () (forall @t823 (or @t2027 @t1989))) % 1.23/1.49 (define @t2029 () (forall @t823 (or @t2027 @t1729))) % 1.23/1.49 (define @t2030 () (tptp.in @t2007 @t1)) % 1.23/1.49 (define @t2031 () (forall @t689 (or @t2012 @t2030))) % 1.23/1.49 (define @t2032 () (tptp.iskpair @t383)) % 1.23/1.49 (define @t2033 () (not @t2032)) % 1.23/1.49 (define @t2034 () (forall @t756 (or @t2033 @t2010))) % 1.23/1.49 (define @t2035 () (tptp.ksnd @t1985)) % 1.23/1.49 (define @t2036 () (= @t19 @t2035)) % 1.23/1.49 (define @t2037 () (forall @t135 @t2036)) % 1.23/1.49 (define @t2038 () (tptp.kpair @t2008 @t4)) % 1.23/1.49 (define @t2039 () (= @t383 @t2038)) % 1.23/1.49 (define @t2040 () (lambda @t9 @t2039)) % 1.23/1.49 (define @t2041 () (tptp.setunion @t383)) % 1.23/1.49 (define @t2042 () (tptp.dsetconstr @t2041 @t2040)) % 1.23/1.49 (define @t2043 () (tptp.singleton @t2042)) % 1.23/1.49 (define @t2044 () (forall @t756 (or @t2033 @t2043))) % 1.23/1.49 (define @t2045 () (tptp.kpair @t289 @t383)) % 1.23/1.49 (define @t2046 () (not (= @t1985 @t2045))) % 1.23/1.49 (define @t2047 () (forall @t777 (or @t2046 @t791))) % 1.23/1.49 (define @t2048 () (tptp.setadjoin @t383 tptp.emptyset)) % 1.23/1.49 (define @t2049 () (tptp.setadjoin @t289 @t2048)) % 1.23/1.49 (define @t2050 () (tptp.setadjoin @t2049 tptp.emptyset)) % 1.23/1.49 (define @t2051 () (tptp.setadjoin @t289 tptp.emptyset)) % 1.23/1.49 (define @t2052 () (tptp.setadjoin @t2051 @t2050)) % 1.23/1.49 (define @t2053 () (tptp.setadjoin @t19 tptp.emptyset)) % 1.23/1.49 (define @t2054 () (tptp.setadjoin @t4 @t2053)) % 1.23/1.49 (define @t2055 () (tptp.setadjoin @t2054 tptp.emptyset)) % 1.23/1.49 (define @t2056 () (tptp.setadjoin @t1799 @t2055)) % 1.23/1.49 (define @t2057 () (not (= @t2056 @t2052))) % 1.23/1.49 (define @t2058 () (forall @t777 (or @t2057 @t791))) % 1.23/1.49 (define @t2059 () (forall @t297 (or (not (= @t2054 @t2051)) @t129))) % 1.23/1.49 (define @t2060 () (not (= @t2056 (tptp.setadjoin @t2048 (tptp.setadjoin (tptp.setadjoin @t383 @t2048) tptp.emptyset))))) % 1.23/1.49 (define @t2061 () (or @t2060 @t791)) % 1.23/1.49 (define @t2062 () (@list @t4 @t19 @t383)) % 1.23/1.49 (define @t2063 () (forall @t2062 @t2061)) % 1.23/1.49 (define @t2064 () (tptp.setadjoin @t19 @t2053)) % 1.23/1.49 (define @t2065 () (= (tptp.setadjoin @t2053 (tptp.setadjoin @t2064 tptp.emptyset)) (tptp.setadjoin @t2053 tptp.emptyset))) % 1.23/1.49 (define @t2066 () (forall @t70 @t2065)) % 1.23/1.49 (define @t2067 () (= @t2053 @t2064)) % 1.23/1.49 (define @t2068 () (forall @t70 @t2067)) % 1.23/1.49 (define @t2069 () (forall @t777 (or @t2046 @t744))) % 1.23/1.49 (define @t2070 () (forall @t777 (or @t2057 @t744))) % 1.23/1.49 (define @t2071 () (tptp.in @t2008 @t2)) % 1.23/1.49 (define @t2072 () (forall @t689 (or @t2012 @t2071))) % 1.23/1.49 (define @t2073 () (tptp.kfst @t1985)) % 1.23/1.49 (define @t2074 () (= @t4 @t2073)) % 1.23/1.49 (define @t2075 () (forall @t135 @t2074)) % 1.23/1.49 (define @t2076 () (tptp.in @t1784 @t695)) % 1.23/1.49 (define @t2077 () (forall @t700 (or @t1787 @t2076))) % 1.23/1.49 (define @t2078 () (tptp.in @t1799 @t383)) % 1.23/1.49 (define @t2079 () (lambda @t9 @t2078)) % 1.23/1.49 (define @t2080 () (tptp.dsetconstr @t2041 @t2079)) % 1.23/1.49 (define @t2081 () (tptp.singleton @t2080)) % 1.23/1.49 (define @t2082 () (forall @t756 (or @t2033 @t2081))) % 1.23/1.49 (define @t2083 () (tptp.in @t2051 @t2056)) % 1.23/1.49 (define @t2084 () (forall @t297 (or (not @t2083) @t744))) % 1.23/1.49 (define @t2085 () (forall @t135 (or (not (= @t2053 @t1799)) @t129))) % 1.23/1.49 (define @t2086 () (@var "BOUND_VARIABLE_11843" $$unsorted)) % 1.23/1.49 (define @t2087 () (not (_ @t143 @t2086))) % 1.23/1.49 (define @t2088 () (not (tptp.in @t2086 @t2))) % 1.23/1.49 (define @t2089 () (@var "BOUND_VARIABLE_11816" $$unsorted)) % 1.23/1.49 (define @t2090 () (= @t4 @t2089)) % 1.23/1.49 (define @t2091 () (not (_ @t143 @t2089))) % 1.23/1.49 (define @t2092 () (not (tptp.in @t2089 @t2))) % 1.23/1.49 (define @t2093 () (_ @t143 @t4)) % 1.23/1.49 (define @t2094 () (not @t2093)) % 1.23/1.49 (define @t2095 () (or @t1730 @t2094 @t2092 @t2091 @t2090)) % 1.23/1.49 (define @t2096 () (@list @t4 @t2089)) % 1.23/1.49 (define @t2097 () (forall @t2096 @t2095)) % 1.23/1.49 (define @t2098 () (not @t2097)) % 1.23/1.49 (define @t2099 () (or @t2098 @t1932 @t2088 @t2087)) % 1.23/1.49 (define @t2100 () (@list @t2 @t143 @t2086)) % 1.23/1.49 (define @t2101 () (forall @t2100 @t2099)) % 1.23/1.49 (define @t2102 () (_ @t143 @t19)) % 1.23/1.49 (define @t2103 () (not @t2102)) % 1.23/1.49 (define @t2104 () (tptp.in @t19 @t2)) % 1.23/1.49 (define @t2105 () (not @t2104)) % 1.23/1.49 (define @t2106 () (forall @t70 (or @t2105 @t2103 @t129))) % 1.23/1.49 (define @t2107 () (not @t2106)) % 1.23/1.49 (define @t2108 () (forall @t159 (or @t1730 @t2094 @t2107 @t1932))) % 1.23/1.49 (define @t2109 () (forall @t9 (or @t1730 @t2094))) % 1.23/1.49 (define @t2110 () (not @t2109)) % 1.23/1.49 (define @t2111 () (forall @t311 (or @t1933 @t2110))) % 1.23/1.49 (define @t2112 () (tptp.setunion @t1799)) % 1.23/1.49 (define @t2113 () (forall @t9 (= @t4 @t2112))) % 1.23/1.49 (define @t2114 () (tptp.setadjoin @t2 tptp.emptyset)) % 1.23/1.49 (define @t2115 () (tptp.setunion @t2114)) % 1.23/1.49 (define @t2116 () (tptp.subset @t2 @t2115)) % 1.23/1.49 (define @t2117 () (forall @t64 @t2116)) % 1.23/1.49 (define @t2118 () (tptp.subset @t2115 @t2)) % 1.23/1.49 (define @t2119 () (forall @t64 @t2118)) % 1.23/1.49 (define @t2120 () (tptp.in @t695 @t2)) % 1.23/1.49 (define @t2121 () (not (forall @t700 (or (not @t2120) @t1728)))) % 1.23/1.49 (define @t2122 () (tptp.setunion @t2)) % 1.23/1.49 (define @t2123 () (tptp.in @t4 @t2122)) % 1.23/1.49 (define @t2124 () (not @t2123)) % 1.23/1.49 (define @t2125 () (forall @t46 (or @t2124 @t2121))) % 1.23/1.49 (define @t2126 () (forall @t689 (or @t2012 @t2032))) % 1.23/1.49 (define @t2127 () (@var "BOUND_VARIABLE_11726" $$unsorted)) % 1.23/1.49 (define @t2128 () (not (= @t383 (tptp.kpair @t4 @t2127)))) % 1.23/1.49 (define @t2129 () (not (tptp.in @t2127 @t1))) % 1.23/1.49 (define @t2130 () (or @t1730 @t2129 @t2128)) % 1.23/1.49 (define @t2131 () (@list @t4 @t2127)) % 1.23/1.49 (define @t2132 () (not (forall @t2131 @t2130))) % 1.23/1.49 (define @t2133 () (forall @t689 (or @t2012 @t2132))) % 1.23/1.49 (define @t2134 () (@var "BOUND_VARIABLE_11692" $$unsorted)) % 1.23/1.49 (define @t2135 () (tptp.in (tptp.kpair @t4 @t2134) @t1869)) % 1.23/1.49 (define @t2136 () (not (tptp.in @t2134 @t1))) % 1.23/1.49 (define @t2137 () (or @t1730 @t2136 @t2135)) % 1.23/1.49 (define @t2138 () (@list @t2 @t1 @t4 @t2134)) % 1.23/1.49 (define @t2139 () (forall @t2138 @t2137)) % 1.23/1.49 (define @t2140 () (tptp.binunion @t2 @t1)) % 1.23/1.49 (define @t2141 () (tptp.powerset @t2140)) % 1.23/1.49 (define @t2142 () (tptp.powerset @t2141)) % 1.23/1.49 (define @t2143 () (@var "BOUND_VARIABLE_11665" $$unsorted)) % 1.23/1.49 (define @t2144 () (tptp.in (tptp.kpair @t4 @t2143) @t2142)) % 1.23/1.49 (define @t2145 () (not (tptp.in @t2143 @t1))) % 1.23/1.49 (define @t2146 () (or @t1730 @t2145 @t2144)) % 1.23/1.49 (define @t2147 () (@list @t2 @t1 @t4 @t2143)) % 1.23/1.49 (define @t2148 () (forall @t2147 @t2146)) % 1.23/1.49 (define @t2149 () (@var "BOUND_VARIABLE_11635" $$unsorted)) % 1.23/1.49 (define @t2150 () (tptp.in (tptp.setadjoin @t1799 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t2149 tptp.emptyset)) tptp.emptyset)) @t2142)) % 1.23/1.49 (define @t2151 () (not (tptp.in @t2149 @t1))) % 1.23/1.49 (define @t2152 () (or @t1730 @t2151 @t2150)) % 1.23/1.49 (define @t2153 () (@list @t2 @t1 @t4 @t2149)) % 1.23/1.49 (define @t2154 () (forall @t2153 @t2152)) % 1.23/1.49 (define @t2155 () (@var "BOUND_VARIABLE_11603" $$unsorted)) % 1.23/1.49 (define @t2156 () (tptp.subset (tptp.setadjoin @t1799 (tptp.setadjoin (tptp.setadjoin @t4 (tptp.setadjoin @t2155 tptp.emptyset)) tptp.emptyset)) @t2141)) % 1.23/1.49 (define @t2157 () (not (tptp.in @t2155 @t1))) % 1.23/1.49 (define @t2158 () (or @t1730 @t2157 @t2156)) % 1.23/1.49 (define @t2159 () (@list @t2 @t1 @t4 @t2155)) % 1.23/1.49 (define @t2160 () (forall @t2159 @t2158)) % 1.23/1.49 (define @t2161 () (@var "BOUND_VARIABLE_11575" $$unsorted)) % 1.23/1.49 (define @t2162 () (tptp.in (tptp.setadjoin @t4 (tptp.setadjoin @t2161 tptp.emptyset)) @t2141)) % 1.23/1.49 (define @t2163 () (not (tptp.in @t2161 @t1))) % 1.23/1.49 (define @t2164 () (or @t1730 @t2163 @t2162)) % 1.23/1.49 (define @t2165 () (@list @t2 @t1 @t4 @t2161)) % 1.23/1.49 (define @t2166 () (forall @t2165 @t2164)) % 1.23/1.49 (define @t2167 () (@var "BOUND_VARIABLE_11547" $$unsorted)) % 1.23/1.49 (define @t2168 () (tptp.subset (tptp.setadjoin @t4 (tptp.setadjoin @t2167 tptp.emptyset)) @t2140)) % 1.23/1.49 (define @t2169 () (not (tptp.in @t2167 @t1))) % 1.23/1.49 (define @t2170 () (or @t1730 @t2169 @t2168)) % 1.23/1.49 (define @t2171 () (@list @t2 @t1 @t4 @t2167)) % 1.23/1.49 (define @t2172 () (forall @t2171 @t2170)) % 1.23/1.49 (define @t2173 () (= @t19 @t289)) % 1.23/1.49 (define @t2174 () (tptp.in @t289 @t2054)) % 1.23/1.49 (define @t2175 () (forall @t297 (or (not @t2174) @t744 @t2173))) % 1.23/1.49 (define @t2176 () (tptp.in @t1799 @t2141)) % 1.23/1.49 (define @t2177 () (forall @t245 (or @t1730 @t2176))) % 1.23/1.49 (define @t2178 () (tptp.in @t1799 @t1594)) % 1.23/1.49 (define @t2179 () (forall @t46 (or @t1730 @t2178))) % 1.23/1.49 (define @t2180 () (tptp.subset @t1799 @t2)) % 1.23/1.49 (define @t2181 () (forall @t46 (or @t1730 @t2180))) % 1.23/1.49 (define @t2182 () (tptp.iskpair @t1985)) % 1.23/1.49 (define @t2183 () (forall @t135 @t2182)) % 1.23/1.49 (define @t2184 () (tptp.iskpair @t2056)) % 1.23/1.49 (define @t2185 () (forall @t135 @t2184)) % 1.23/1.49 (define @t2186 () (tptp.setunion @t2056)) % 1.23/1.49 (define @t2187 () (tptp.in @t19 @t2186)) % 1.23/1.49 (define @t2188 () (forall @t135 @t2187)) % 1.23/1.49 (define @t2189 () (tptp.in @t4 @t2186)) % 1.23/1.49 (define @t2190 () (forall @t135 @t2189)) % 1.23/1.49 (define @t2191 () (tptp.in @t19 @t2054)) % 1.23/1.49 (define @t2192 () (forall @t135 @t2191)) % 1.23/1.49 (define @t2193 () (tptp.symdiff @t2 @t1)) % 1.23/1.49 (define @t2194 () (tptp.in @t4 @t2193)) % 1.23/1.49 (define @t2195 () (not @t2194)) % 1.23/1.49 (define @t2196 () (tptp.in @t4 @t1)) % 1.23/1.49 (define @t2197 () (forall @t245 (or @t1729 @t2196 @t2195))) % 1.23/1.49 (define @t2198 () (not @t2196)) % 1.23/1.49 (define @t2199 () (forall @t245 (or @t1730 @t2198 @t2195))) % 1.23/1.49 (define @t2200 () (forall @t245 (or @t1729 @t2198 @t2194))) % 1.23/1.49 (define @t2201 () (forall @t245 (or @t1730 @t2196 @t2194))) % 1.23/1.49 (define @t2202 () (and @t1730 @t2196)) % 1.23/1.49 (define @t2203 () (and @t1729 @t2198)) % 1.23/1.49 (define @t2204 () (forall @t245 (or @t2195 @t2203 @t2202))) % 1.23/1.49 (define @t2205 () (tptp.subset @t2 @t1)) % 1.23/1.49 (define @t2206 () (tptp.setminus @t2 @t1)) % 1.23/1.49 (define @t2207 () (= tptp.emptyset @t2206)) % 1.23/1.49 (define @t2208 () (forall @t12 (or (not @t2207) @t2205))) % 1.23/1.49 (define @t2209 () (tptp.subset @t2206 @t2)) % 1.23/1.49 (define @t2210 () (forall @t12 @t2209)) % 1.23/1.49 (define @t2211 () (tptp.in @t4 @t2206)) % 1.23/1.49 (define @t2212 () (not @t2211)) % 1.23/1.49 (define @t2213 () (forall @t245 (or @t2198 @t2212))) % 1.23/1.49 (define @t2214 () (forall @t245 (or @t1729 @t2212))) % 1.23/1.49 (define @t2215 () (forall @t245 (or @t2211 @t2196 @t1730))) % 1.23/1.49 (define @t2216 () (forall @t245 (or @t2211 @t1730 @t2196))) % 1.23/1.49 (define @t2217 () (not @t2205)) % 1.23/1.49 (define @t2218 () (forall @t12 (or @t2217 @t2207))) % 1.23/1.49 (define @t2219 () (forall @t245 (or @t2212 @t2198))) % 1.23/1.49 (define @t2220 () (forall @t245 (or @t2212 @t1729))) % 1.23/1.49 (define @t2221 () (forall @t245 (or @t1730 @t2196 @t2211))) % 1.23/1.49 (define @t2222 () (tptp.binintersect @t2 @t104)) % 1.23/1.49 (define @t2223 () (tptp.binintersect @t2 @t1)) % 1.23/1.49 (define @t2224 () (tptp.binunion @t2223 @t2222)) % 1.23/1.49 (define @t2225 () (tptp.binunion @t1 @t104)) % 1.23/1.49 (define @t2226 () (tptp.binintersect @t2 @t2225)) % 1.23/1.49 (define @t2227 () (forall @t457 (= @t2226 @t2224))) % 1.23/1.49 (define @t2228 () (= @t2 @t2223)) % 1.23/1.49 (define @t2229 () (forall @t12 (or (not @t2228) @t2205))) % 1.23/1.49 (define @t2230 () (= @t1 @t2223)) % 1.23/1.49 (define @t2231 () (tptp.subset @t1 @t2)) % 1.23/1.49 (define @t2232 () (not @t2231)) % 1.23/1.49 (define @t2233 () (forall @t12 (or @t2232 @t2230))) % 1.23/1.49 (define @t2234 () (tptp.subset @t2223 @t1)) % 1.23/1.49 (define @t2235 () (forall @t12 @t2234)) % 1.23/1.49 (define @t2236 () (forall @t9 (or @t1730 @t2198))) % 1.23/1.49 (define @t2237 () (not @t2236)) % 1.23/1.49 (define @t2238 () (forall @t12 (or @t2237 (= tptp.emptyset @t2223)))) % 1.23/1.49 (define @t2239 () (tptp.in @t4 @t2223)) % 1.23/1.49 (define @t2240 () (not @t2239)) % 1.23/1.49 (define @t2241 () (forall @t245 (or @t2240 @t2196))) % 1.23/1.49 (define @t2242 () (forall @t12 (or (not @t2230) @t2231))) % 1.23/1.49 (define @t2243 () (forall @t12 (or @t2217 @t2228))) % 1.23/1.49 (define @t2244 () (tptp.subset @t2223 @t2)) % 1.23/1.49 (define @t2245 () (forall @t12 @t2244)) % 1.23/1.49 (define @t2246 () (forall @t245 (or @t2240 @t1729))) % 1.23/1.49 (define @t2247 () (tptp.subset @t104 @t2223)) % 1.23/1.49 (define @t2248 () (tptp.subset @t104 @t1)) % 1.23/1.49 (define @t2249 () (tptp.subset @t104 @t2)) % 1.23/1.49 (define @t2250 () (forall @t457 (or (not @t2249) (not @t2248) @t2247))) % 1.23/1.49 (define @t2251 () (forall @t245 (or @t1730 @t2198 @t2239))) % 1.23/1.49 (define @t2252 () (tptp.subset @t1 @t2140)) % 1.23/1.49 (define @t2253 () (forall @t12 @t2252)) % 1.23/1.49 (define @t2254 () (tptp.subset @t2 @t2140)) % 1.23/1.49 (define @t2255 () (forall @t12 @t2254)) % 1.23/1.49 (define @t2256 () (tptp.in @t4 @t2140)) % 1.23/1.49 (define @t2257 () (not @t2256)) % 1.23/1.49 (define @t2258 () (forall @t245 (or @t2257 @t1729 @t2196))) % 1.23/1.49 (define @t2259 () (forall @t245 (or @t2198 @t2256))) % 1.23/1.49 (define @t2260 () (forall @t245 (or @t1730 @t2256))) % 1.23/1.49 (define @t2261 () (forall @t311 (tptp.subset @t1931 @t2))) % 1.23/1.49 (define @t2262 () (forall @t311 (tptp.in @t1931 @t1594))) % 1.23/1.49 (define @t2263 () (tptp.powerset @t1)) % 1.23/1.49 (define @t2264 () (tptp.subset @t1594 @t2263)) % 1.23/1.49 (define @t2265 () (forall @t12 (or @t2217 @t2264))) % 1.23/1.49 (define @t2266 () (tptp.in @t2 @t1594)) % 1.23/1.49 (define @t2267 () (forall @t64 @t2266)) % 1.23/1.49 (define @t2268 () (tptp.in @t1 @t1594)) % 1.23/1.49 (define @t2269 () (not @t2268)) % 1.23/1.49 (define @t2270 () (forall @t12 (or @t2269 @t2231))) % 1.23/1.49 (define @t2271 () (forall @t12 (or @t2232 @t2268))) % 1.23/1.49 (define @t2272 () (tptp.subset @t2 tptp.emptyset)) % 1.23/1.49 (define @t2273 () (forall @t64 (or (not @t2272) @t196))) % 1.23/1.49 (define @t2274 () (forall @t12 (or @t2217 @t2232 @t3))) % 1.23/1.49 (define @t2275 () (tptp.in @t2 @t2263)) % 1.23/1.49 (define @t2276 () (forall @t12 (or @t2217 @t2275))) % 1.23/1.49 (define @t2277 () (tptp.setadjoin @t4 @t1)) % 1.23/1.49 (define @t2278 () (tptp.subset @t2 @t2277)) % 1.23/1.49 (define @t2279 () (forall @t249 (or @t2217 @t2278))) % 1.23/1.49 (define @t2280 () (tptp.setadjoin @t4 @t2)) % 1.23/1.49 (define @t2281 () (tptp.subset @t2 @t2280)) % 1.23/1.49 (define @t2282 () (forall @t461 @t2281)) % 1.23/1.49 (define @t2283 () (tptp.subset @t2 @t104)) % 1.23/1.49 (define @t2284 () (tptp.subset @t1 @t104)) % 1.23/1.49 (define @t2285 () (forall @t457 (or @t2217 (not @t2284) @t2283))) % 1.23/1.49 (define @t2286 () (tptp.subset @t2 @t2)) % 1.23/1.49 (define @t2287 () (forall @t64 @t2286)) % 1.23/1.49 (define @t2288 () (tptp.subset @t1 @t1)) % 1.23/1.49 (define @t2289 () (forall @t41 @t2288)) % 1.23/1.49 (define @t2290 () (forall @t245 (or @t1730 @t2196 @t2217))) % 1.23/1.49 (define @t2291 () (forall @t245 (or @t2217 @t2196 @t1730))) % 1.23/1.49 (define @t2292 () (forall @t245 (or @t2217 @t1730 @t2196))) % 1.23/1.49 (define @t2293 () (tptp.subset tptp.emptyset @t2)) % 1.23/1.49 (define @t2294 () (forall @t64 @t2293)) % 1.23/1.49 (define @t2295 () (forall @t9 (or @t1730 @t2196))) % 1.23/1.49 (define @t2296 () (not @t2295)) % 1.23/1.49 (define @t2297 () (forall @t12 (or @t2296 @t2205))) % 1.23/1.49 (define @t2298 () (@var "BOUND_VARIABLE_10944" (-> $$unsorted Bool))) % 1.23/1.49 (define @t2299 () (tptp.dsetconstr @t1 @t2298)) % 1.23/1.49 (define @t2300 () (@var "BOUND_VARIABLE_10946" (-> $$unsorted Bool))) % 1.23/1.49 (define @t2301 () (tptp.dsetconstr @t1 @t2300)) % 1.23/1.49 (define @t2302 () (= @t2301 @t2299)) % 1.23/1.49 (define @t2303 () (= (_ @t2298 @t4) (_ @t2300 @t4))) % 1.23/1.49 (define @t2304 () (or @t2198 @t2303)) % 1.23/1.49 (define @t2305 () (not (forall @t9 @t2304))) % 1.23/1.49 (define @t2306 () (or @t2305 @t2302)) % 1.23/1.49 (define @t2307 () (@list @t1 @t2298 @t2300)) % 1.23/1.49 (define @t2308 () (forall @t2307 @t2306)) % 1.23/1.49 (define @t2309 () (@var "BOUND_VARIABLE_10883" $$unsorted)) % 1.23/1.49 (define @t2310 () (_ @t368 @t19)) % 1.23/1.49 (define @t2311 () (not @t2310)) % 1.23/1.49 (define @t2312 () (not (_ @t368 @t2309))) % 1.23/1.49 (define @t2313 () (@var "BOUND_VARIABLE_10874" $$unsorted)) % 1.23/1.49 (define @t2314 () (not (_ @t143 @t2313))) % 1.23/1.49 (define @t2315 () (tptp.descr @t143)) % 1.23/1.49 (define @t2316 () (= @t2315 (tptp.descr @t368))) % 1.23/1.49 (define @t2317 () (= @t2102 @t2310)) % 1.23/1.49 (define @t2318 () (forall @t70 @t2317)) % 1.23/1.49 (define @t2319 () (not @t2318)) % 1.23/1.49 (define @t2320 () (@list @t143 @t368 @t2313 @t2309)) % 1.23/1.49 (define @t2321 () (forall @t2320 (or @t2319 @t2316 @t2314 (not (forall @t70 (or @t2103 (= @t19 @t2313)))) @t2312 (not (forall @t70 (or @t2311 (= @t19 @t2309))))))) % 1.23/1.49 (define @t2322 () (@var "BOUND_VARIABLE_10716" $$unsorted)) % 1.23/1.49 (define @t2323 () (@var "BOUND_VARIABLE_10714" $$unsorted)) % 1.23/1.49 (define @t2324 () (= @t2323 @t2322)) % 1.23/1.49 (define @t2325 () (not (_ @t143 @t2322))) % 1.23/1.49 (define @t2326 () (not (_ @t143 @t2323))) % 1.23/1.49 (define @t2327 () (@var "BOUND_VARIABLE_10705" $$unsorted)) % 1.23/1.49 (define @t2328 () (not (_ @t143 @t2327))) % 1.23/1.49 (define @t2329 () (@list @t143 @t2327 @t2323 @t2322)) % 1.23/1.49 (define @t2330 () (forall @t2329 (or @t2328 (not (forall @t70 (or @t2103 (= @t19 @t2327)))) @t2326 @t2325 @t2324))) % 1.23/1.49 (define @t2331 () (not (forall @t70 (or @t2311 @t129)))) % 1.23/1.49 (define @t2332 () (_ @t368 @t4)) % 1.23/1.49 (define @t2333 () (forall @t9 (or (not @t2332) @t2331))) % 1.23/1.49 (define @t2334 () (not @t2333)) % 1.23/1.49 (define @t2335 () (forall @t70 (or @t2103 @t129))) % 1.23/1.49 (define @t2336 () (not @t2335)) % 1.23/1.49 (define @t2337 () (forall @t9 (or @t2094 @t2336))) % 1.23/1.49 (define @t2338 () (not @t2337)) % 1.23/1.49 (define @t2339 () (= @t2338 @t2334)) % 1.23/1.49 (define @t2340 () (forall @t378 (or @t2319 @t2339))) % 1.23/1.49 (define @t2341 () (@var "BOUND_VARIABLE_10612" $$unsorted)) % 1.23/1.49 (define @t2342 () (@list @t143 @t2341)) % 1.23/1.49 (define @t2343 () (forall @t2342 (or (not (forall @t70 (= @t2102 (= @t19 @t2341)))) @t2338))) % 1.23/1.49 (define @t2344 () (forall @t135 (or @t2094 @t2103 @t129))) % 1.23/1.49 (define @t2345 () (not @t2344)) % 1.23/1.49 (define @t2346 () (@var "BOUND_VARIABLE_10596" $$unsorted)) % 1.23/1.49 (define @t2347 () (not (_ @t143 @t2346))) % 1.23/1.49 (define @t2348 () (or @t2347 @t2345 @t2338)) % 1.23/1.49 (define @t2349 () (forall (@list @t143 @t2346) @t2348)) % 1.23/1.49 (define @t2350 () (=> @t2349 (=> @t2343 (=> @t2330 (=> @t2340 (=> @t2330 (=> @t2321 (=> @t2308 (=> @t2297 (=> @t2289 (=> @t2289 (=> @t2297 (=> @t2294 (=> @t2292 (=> @t2291 (=> @t2290 (=> @t2289 (=> @t2287 (=> @t2285 (=> @t2282 (=> @t2279 (=> @t2276 (=> @t2274 (=> @t2273 (=> @t2271 (=> @t2270 (=> @t2267 (=> @t2265 (=> @t2262 (=> @t2261 (=> @t2260 (=> @t2192 (=> @t2259 (=> @t2258 (=> @t2258 (=> @t2255 (=> @t2253 (=> @t2251 (=> @t2250 (=> @t2246 (=> @t2245 (=> @t2243 (=> @t2242 (=> @t2241 (=> @t2238 (=> @t2235 (=> @t2233 (=> @t2229 (=> @t2227 (=> @t2221 (=> @t2220 (=> @t2219 (=> @t2218 (=> @t2216 (=> @t2215 (=> @t2214 (=> @t2213 (=> @t2210 (=> @t2208 (=> @t2204 (=> @t2201 (=> @t2200 (=> @t2199 (=> @t2197 (=> @t2192 (=> @t2190 (=> @t2188 (=> @t2185 (=> @t2183 (=> @t2181 (=> @t2179 (=> @t2177 (=> @t2175 (=> @t2172 (=> @t2166 (=> @t2160 (=> @t2154 (=> @t2148 (=> @t2139 (=> @t2133 (=> @t2126 (=> @t2125 (=> @t2119 (=> @t2117 (=> @t2113 (=> @t2101 (=> @t2111 (=> @t2108 (=> @t2101 (=> @t2085 (=> @t2084 (=> @t2082 (=> @t2077 (=> @t2075 (=> @t2072 (=> @t2070 (=> @t2069 (=> @t2068 (=> @t2066 (=> @t2063 (=> @t2059 (=> @t2058 (=> @t2047 (=> @t2044 (=> @t2037 (=> @t2034 (=> @t2031 (=> @t2029 (=> @t2028 (=> @t2025 (=> @t2019 (=> @t2013 (=> @t2006 (=> @t1999 (=> @t1999 (=> @t1998 (=> @t1991 (=> @t1990 (=> @t1988 (=> @t1982 (=> @t1976 (=> @t1970 (=> @t1964 (=> @t1963 (=> @t1957 (=> @t1956 (=> @t1951 (=> @t1950 (=> @t1949 (=> @t1949 (=> @t1936 (=> @t1923 (=> @t1917 (=> @t1911 (=> @t1903 (=> @t1890 (=> @t1882 (=> @t1875 (=> @t1854 (=> @t1847 (=> @t1836 (=> @t1840 @t1837)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 1.23/1.49 (define @t2351 () (tptp.prop2set true)) % 1.23/1.49 (define @t2352 () (tptp.set2prop @t2351)) % 1.23/1.49 (define @t2353 () (=> @t2352 @t2350)) % 1.23/1.49 (define @t2354 () (tptp.in tptp.emptyset @t2351)) % 1.23/1.49 (define @t2355 () (=> @t2354 @t2353)) % 1.23/1.49 (define @t2356 () (tptp.in @t4 tptp.emptyset)) % 1.23/1.49 (define @t2357 () (not @t2356)) % 1.23/1.49 (define @t2358 () (forall @t314 (or @t2357 @t2093))) % 1.23/1.49 (define @t2359 () (=> @t2358 @t2355)) % 1.23/1.49 (define @t2360 () (@var "BOUND_VARIABLE_10505" $$unsorted)) % 1.23/1.49 (define @t2361 () (not (_ @t143 @t2360))) % 1.23/1.49 (define @t2362 () (not (tptp.in @t2360 @t2))) % 1.23/1.49 (define @t2363 () (not (= tptp.emptyset @t1931))) % 1.23/1.49 (define @t2364 () (or @t2363 @t2362 @t2361)) % 1.23/1.49 (define @t2365 () (@list @t2 @t143 @t2360)) % 1.23/1.49 (define @t2366 () (forall @t2365 @t2364)) % 1.23/1.49 (define @t2367 () (=> @t2366 @t2359)) % 1.23/1.49 (define @t2368 () (=> @t2192 @t2367)) % 1.23/1.49 (define @t2369 () (tptp.in @t4 @t2054)) % 1.23/1.49 (define @t2370 () (forall @t135 @t2369)) % 1.23/1.49 (define @t2371 () (=> @t2370 @t2368)) % 1.23/1.49 (define @t2372 () (=> @t2175 @t2371)) % 1.23/1.49 (define @t2373 () (tptp.in @t19 @t1799)) % 1.23/1.49 (define @t2374 () (tptp.in @t4 @t2053)) % 1.23/1.49 (define @t2375 () (not @t2374)) % 1.23/1.49 (define @t2376 () (forall @t135 (or @t2375 @t2373))) % 1.23/1.49 (define @t2377 () (=> @t2376 @t2372)) % 1.23/1.49 (define @t2378 () (tptp.in @t19 @t2053)) % 1.23/1.49 (define @t2379 () (forall @t70 @t2378)) % 1.23/1.49 (define @t2380 () (=> @t2379 @t2377)) % 1.23/1.49 (define @t2381 () (forall @t135 (or @t129 (not @t2373)))) % 1.23/1.49 (define @t2382 () (=> @t2381 @t2380)) % 1.23/1.49 (define @t2383 () (forall @t135 (or @t2375 @t129))) % 1.23/1.49 (define @t2384 () (=> @t2383 @t2382)) % 1.23/1.49 (define @t2385 () (forall @t9 @t1730)) % 1.23/1.49 (define @t2386 () (not @t2385)) % 1.23/1.49 (define @t2387 () (forall @t64 (or @t196 @t2386))) % 1.23/1.49 (define @t2388 () (=> @t2387 @t2384)) % 1.23/1.49 (define @t2389 () (@var "BOUND_VARIABLE_10390" $$unsorted)) % 1.23/1.49 (define @t2390 () (not (_ @t143 @t2389))) % 1.23/1.49 (define @t2391 () (forall @t70 (= @t129 @t2102))) % 1.23/1.49 (define @t2392 () (forall @t9 (not @t2391))) % 1.23/1.49 (define @t2393 () (not @t2392)) % 1.23/1.49 (define @t2394 () (@list @t143 @t2389)) % 1.23/1.49 (define @t2395 () (forall @t2394 (or @t2393 @t2390 (not (forall @t70 (or @t2103 (= @t19 @t2389))))))) % 1.23/1.49 (define @t2396 () (=> @t2395 @t2388)) % 1.23/1.49 (define @t2397 () (tptp.powerset @t2122)) % 1.23/1.49 (define @t2398 () (tptp.in @t4 @t2397)) % 1.23/1.49 (define @t2399 () (forall @t46 (or @t1730 @t2398))) % 1.23/1.49 (define @t2400 () (=> @t2399 @t2396)) % 1.23/1.49 (define @t2401 () (tptp.in @t1 @t2)) % 1.23/1.49 (define @t2402 () (not @t2401)) % 1.23/1.49 (define @t2403 () (forall @t41 (or @t2198 @t2402))) % 1.23/1.49 (define @t2404 () (not @t2403)) % 1.23/1.49 (define @t2405 () (forall @t46 (or @t2124 @t2404))) % 1.23/1.49 (define @t2406 () (=> @t2405 @t2400)) % 1.23/1.49 (define @t2407 () (forall @t249 (or @t2198 @t2402 @t2123))) % 1.23/1.49 (define @t2408 () (=> @t2407 @t2406)) % 1.23/1.49 (define @t2409 () (forall @t245 (or @t2269 @t2198 @t1729))) % 1.23/1.49 (define @t2410 () (=> @t2409 @t2408)) % 1.23/1.49 (define @t2411 () (tptp.in tptp.emptyset @t1594)) % 1.23/1.49 (define @t2412 () (forall @t64 @t2411)) % 1.23/1.49 (define @t2413 () (=> @t2412 @t2410)) % 1.23/1.49 (define @t2414 () (=> @t2412 @t2413)) % 1.23/1.49 (define @t2415 () (forall @t9 (or @t2198 @t1729))) % 1.23/1.49 (define @t2416 () (not @t2415)) % 1.23/1.49 (define @t2417 () (forall @t12 (or @t2416 @t2268))) % 1.23/1.49 (define @t2418 () (=> @t2417 @t2414)) % 1.23/1.49 (define @t2419 () (@var "BOUND_VARIABLE_43518" $$unsorted)) % 1.23/1.49 (define @t2420 () (lambda (@list @t2419) true)) % 1.23/1.49 (define @t2421 () (tptp.dsetconstr @t2 @t2420)) % 1.23/1.49 (define @t2422 () (forall @t64 (= @t2 @t2421))) % 1.23/1.49 (define @t2423 () (=> @t2422 @t2418)) % 1.23/1.49 (define @t2424 () (tptp.in @t19 @t2280)) % 1.23/1.49 (define @t2425 () (forall @t28 (or (not @t2424) @t129 @t2104))) % 1.23/1.49 (define @t2426 () (=> @t2425 @t2423)) % 1.23/1.49 (define @t2427 () (=> @t2425 @t2426)) % 1.23/1.49 (define @t2428 () (forall @t28 (or @t2105 @t2424))) % 1.23/1.49 (define @t2429 () (=> @t2428 @t2427)) % 1.23/1.49 (define @t2430 () (tptp.setadjoin tptp.emptyset tptp.emptyset)) % 1.23/1.49 (define @t2431 () (tptp.in tptp.emptyset @t2430)) % 1.23/1.49 (define @t2432 () (=> @t221 @t2429)) % 1.23/1.49 (define @t2433 () (tptp.setadjoin @t4 @t19)) % 1.23/1.49 (define @t2434 () (tptp.in @t4 @t2433)) % 1.23/1.49 (define @t2435 () (forall @t135 @t2434)) % 1.23/1.49 (define @t2436 () (=> @t2435 @t2432)) % 1.23/1.49 (define @t2437 () (@var "BOUND_VARIABLE_10231" $$unsorted)) % 1.23/1.49 (define @t2438 () (not (tptp.in @t2437 tptp.emptyset))) % 1.23/1.49 (define @t2439 () (@list @t2437)) % 1.23/1.49 (define @t2440 () (forall @t2439 @t2438)) % 1.23/1.49 (define @t2441 () (=> @t2440 @t2436)) % 1.23/1.49 (define @t2442 () (forall @t159 (or @t1730 @t2094 @t2363))) % 1.23/1.49 (define @t2443 () (=> @t2442 @t2441)) % 1.23/1.49 (define @t2444 () (=> @t2387 @t2443)) % 1.23/1.49 (define @t2445 () (tptp.in @t4 @t1931)) % 1.23/1.49 (define @t2446 () (forall @t159 (or @t1730 (= @t2093 @t2445)))) % 1.23/1.49 (define @t2447 () (=> @t2446 @t2444)) % 1.23/1.49 (define @t2448 () (forall @t64 (or @t2386 @t196))) % 1.23/1.49 (define @t2449 () (=> @t2448 @t2447)) % 1.23/1.49 (define @t2450 () (=> @t2448 @t2449)) % 1.23/1.49 (define @t2451 () (or @t2296 @t2416 @t3)) % 1.23/1.49 (define @t2452 () (forall @t12 @t2451)) % 1.23/1.49 (define @t2453 () (=> @t2452 @t2450)) % 1.23/1.49 (define @t2454 () (@var "BOUND_VARIABLE_10128" $$unsorted)) % 1.23/1.49 (define @t2455 () (not (_ @t143 @t2454))) % 1.23/1.49 (define @t2456 () (forall @t9 @t2094)) % 1.23/1.49 (define @t2457 () (not @t2456)) % 1.23/1.49 (define @t2458 () (@list @t143 @t2454)) % 1.23/1.49 (define @t2459 () (forall @t2458 (or @t2457 @t2455 (not (forall @t70 (or @t2103 (= @t19 @t2454))))))) % 1.23/1.49 (define @t2460 () (=> @t2459 @t2453)) % 1.23/1.49 (define @t2461 () (forall @t9 @t2357)) % 1.23/1.49 (define @t2462 () (=> @t2461 @t2460)) % 1.23/1.49 (define @t2463 () (=> @t2461 @t2462)) % 1.23/1.49 (define @t2464 () (=> @t2461 @t2463)) % 1.23/1.49 (define @t2465 () (not (tptp.in @t4 (tptp.prop2set false)))) % 1.23/1.49 (define @t2466 () (forall @t9 @t2465)) % 1.23/1.49 (define @t2467 () (=> @t2466 @t2464)) % 1.23/1.49 (define @t2468 () (not @t2445)) % 1.23/1.49 (define @t2469 () (forall @t159 (or @t2468 @t2093))) % 1.23/1.49 (define @t2470 () (=> @t2469 @t2467)) % 1.23/1.49 (define @t2471 () (forall @t159 (or @t2468 @t1729))) % 1.23/1.49 (define @t2472 () (=> @t2471 @t2470)) % 1.23/1.49 (define @t2473 () (forall @t159 (or @t1730 @t2094 @t2445))) % 1.23/1.49 (define @t2474 () (=> @t2473 @t2472)) % 1.23/1.49 (define @t2475 () (@var "BOUND_VARIABLE_10028" $$unsorted)) % 1.23/1.49 (define @t2476 () (not (_ @t143 @t2475))) % 1.23/1.49 (define @t2477 () (_ @t143 @t2315)) % 1.23/1.49 (define @t2478 () (@list @t143 @t2475)) % 1.23/1.49 (define @t2479 () (forall @t2478 (or @t2477 @t2476 (not (forall @t70 (or @t2103 (= @t19 @t2475))))))) % 1.23/1.49 (define @t2480 () (=> @t2479 @t2474)) % 1.23/1.49 (define @t2481 () (@var "BOUND_VARIABLE_9948" $$unsorted)) % 1.23/1.49 (define @t2482 () (tptp.in @t2481 @t95)) % 1.23/1.49 (define @t2483 () (not (tptp.in @t2481 @t93))) % 1.23/1.49 (define @t2484 () (tptp.in @t4 @t93)) % 1.23/1.49 (define @t2485 () (tptp.in @t93 @t1)) % 1.23/1.49 (define @t2486 () (not @t2485)) % 1.23/1.49 (define @t2487 () (or @t2486 @t2484 @t2483 @t2482)) % 1.23/1.49 (define @t2488 () (@list @t93 @t2481)) % 1.23/1.49 (define @t2489 () (forall @t2488 @t2487)) % 1.23/1.49 (define @t2490 () (not @t2489)) % 1.23/1.49 (define @t2491 () (tptp.in @t19 @t104)) % 1.23/1.49 (define @t2492 () (tptp.in @t19 @t95)) % 1.23/1.49 (define @t2493 () (forall @t70 (or (not @t2492) (not @t2491)))) % 1.23/1.49 (define @t2494 () (not @t2493)) % 1.23/1.49 (define @t2495 () (tptp.in @t4 @t104)) % 1.23/1.49 (define @t2496 () (not @t2495)) % 1.23/1.49 (define @t2497 () (tptp.in @t95 @t1)) % 1.23/1.49 (define @t2498 () (not @t2497)) % 1.23/1.49 (define @t2499 () (not (forall @t112 (or @t2498 @t2496 @t2494 @t2490)))) % 1.23/1.49 (define @t2500 () (@var "BOUND_VARIABLE_9977" $$unsorted)) % 1.23/1.49 (define @t2501 () (not (tptp.in @t2500 @t104))) % 1.23/1.49 (define @t2502 () (forall @t9 (or @t2496 @t1729))) % 1.23/1.49 (define @t2503 () (not @t2502)) % 1.23/1.49 (define @t2504 () (or @t2503 @t2501 @t2499)) % 1.23/1.49 (define @t2505 () (forall (@list @t104 @t2500) @t2504)) % 1.23/1.49 (define @t2506 () (not @t2505)) % 1.23/1.49 (define @t2507 () (@var "BOUND_VARIABLE_9900" $$unsorted)) % 1.23/1.49 (define @t2508 () (tptp.in @t2507 @t104)) % 1.23/1.49 (define @t2509 () (not (tptp.in @t2507 @t95))) % 1.23/1.49 (define @t2510 () (@var "BOUND_VARIABLE_9894" $$unsorted)) % 1.23/1.49 (define @t2511 () (tptp.in @t2510 @t95)) % 1.23/1.49 (define @t2512 () (not (tptp.in @t2510 @t104))) % 1.23/1.49 (define @t2513 () (tptp.in @t104 @t1)) % 1.23/1.49 (define @t2514 () (not @t2513)) % 1.23/1.49 (define @t2515 () (or @t2514 @t2498 @t2512 @t2511 @t2509 @t2508)) % 1.23/1.49 (define @t2516 () (@list @t104 @t95 @t2510 @t2507)) % 1.23/1.49 (define @t2517 () (forall @t2516 @t2515)) % 1.23/1.49 (define @t2518 () (not @t2517)) % 1.23/1.49 (define @t2519 () (forall @t118 (or @t2514 (= @t2495 @t2491)))) % 1.23/1.49 (define @t2520 () (not @t2519)) % 1.23/1.49 (define @t2521 () (forall @t135 (or @t1730 @t2105 @t2520 @t129))) % 1.23/1.49 (define @t2522 () (not @t2521)) % 1.23/1.49 (define @t2523 () (@var "BOUND_VARIABLE_9843" $$unsorted)) % 1.23/1.49 (define @t2524 () (tptp.in @t2523 @t2)) % 1.23/1.49 (define @t2525 () (not (tptp.in @t2523 @t104))) % 1.23/1.49 (define @t2526 () (or @t2514 @t2525 @t2524)) % 1.23/1.49 (define @t2527 () (@list @t104 @t2523)) % 1.23/1.49 (define @t2528 () (forall @t2527 @t2526)) % 1.23/1.49 (define @t2529 () (not @t2528)) % 1.23/1.49 (define @t2530 () (or @t2529 @t2522 @t2518 @t2506)) % 1.23/1.49 (define @t2531 () (forall @t64 (not (forall @t41 @t2530)))) % 1.23/1.49 (define @t2532 () (=> @t2531 @t2480)) % 1.23/1.49 (define @t2533 () (forall @t9 (or @t2198 @t1730))) % 1.23/1.49 (define @t2534 () (not @t2533)) % 1.23/1.49 (define @t2535 () (not (forall @t41 (or @t2402 @t2534)))) % 1.23/1.49 (define @t2536 () (@var "BOUND_VARIABLE_9818" $$unsorted)) % 1.23/1.49 (define @t2537 () (not (tptp.in @t2536 @t2))) % 1.23/1.49 (define @t2538 () (or @t2537 @t2535)) % 1.23/1.49 (define @t2539 () (forall (@list @t2 @t2536) @t2538)) % 1.23/1.49 (define @t2540 () (=> @t2539 @t2532)) % 1.23/1.49 (define @t2541 () (_ @t67 @t19 @t4)) % 1.23/1.49 (define @t2542 () (not (forall @t70 (or @t2105 (not @t2541))))) % 1.23/1.49 (define @t2543 () (forall @t9 (= @t2196 @t2542))) % 1.23/1.49 (define @t2544 () (not (forall @t41 (not @t2543)))) % 1.23/1.49 (define @t2545 () (@var "BOUND_VARIABLE_9708" $$unsorted)) % 1.23/1.49 (define @t2546 () (= @t19 @t2545)) % 1.23/1.49 (define @t2547 () (not @t1983)) % 1.23/1.49 (define @t2548 () (not (forall @t70 (or @t2547 @t2546)))) % 1.23/1.49 (define @t2549 () (_ @t67 @t4 @t2545)) % 1.23/1.49 (define @t2550 () (@list @t2545)) % 1.23/1.49 (define @t2551 () (not (forall @t2550 (or (not @t2549) @t2548)))) % 1.23/1.49 (define @t2552 () (forall @t9 (or @t1730 @t2551))) % 1.23/1.49 (define @t2553 () (forall @t81 (or (not @t2552) @t2544))) % 1.23/1.49 (define @t2554 () (=> @t2553 @t2540)) % 1.23/1.49 (define @t2555 () (@var "BOUND_VARIABLE_9689" $$unsorted)) % 1.23/1.49 (define @t2556 () (tptp.in @t2555 @t2)) % 1.23/1.49 (define @t2557 () (not (tptp.in @t2555 tptp.omega))) % 1.23/1.49 (define @t2558 () (tptp.setadjoin @t4 @t4)) % 1.23/1.49 (define @t2559 () (tptp.in @t2558 @t2)) % 1.23/1.49 (define @t2560 () (tptp.in @t4 tptp.omega)) % 1.23/1.49 (define @t2561 () (not @t2560)) % 1.23/1.49 (define @t2562 () (forall @t9 (or @t2561 @t1730 @t2559))) % 1.23/1.49 (define @t2563 () (not @t2562)) % 1.23/1.49 (define @t2564 () (tptp.in tptp.emptyset @t2)) % 1.23/1.49 (define @t2565 () (not @t2564)) % 1.23/1.49 (define @t2566 () (or @t2565 @t2563 @t2557 @t2556)) % 1.23/1.49 (define @t2567 () (@list @t2 @t2555)) % 1.23/1.49 (define @t2568 () (forall @t2567 @t2566)) % 1.23/1.49 (define @t2569 () (=> @t2568 @t2554)) % 1.23/1.49 (define @t2570 () (tptp.in @t2558 tptp.omega)) % 1.23/1.49 (define @t2571 () (forall @t9 (or @t2561 @t2570))) % 1.23/1.49 (define @t2572 () (=> @t2571 @t2569)) % 1.23/1.49 (define @t2573 () (tptp.in tptp.emptyset tptp.omega)) % 1.23/1.49 (define @t2574 () (=> @t50 @t2572)) % 1.23/1.49 (define @t2575 () (forall @t46 (= @t2404 @t2123))) % 1.23/1.49 (define @t2576 () (=> @t2575 @t2574)) % 1.23/1.49 (define @t2577 () (forall @t12 (= @t2415 @t2268))) % 1.23/1.49 (define @t2578 () (=> @t2577 @t2576)) % 1.23/1.49 (define @t2579 () (or @t129 @t2104)) % 1.23/1.49 (define @t2580 () (forall @t28 (= @t2424 @t2579))) % 1.23/1.49 (define @t2581 () (=> @t2580 @t2578)) % 1.23/1.49 (define @t2582 () (=> @t2461 @t2581)) % 1.23/1.49 (define @t2583 () (forall @t9 (= @t1729 @t2196))) % 1.23/1.49 (define @t2584 () (forall @t12 (or (not @t2583) @t3))) % 1.23/1.49 (define @t2585 () (=> @t2584 @t2582)) % 1.23/1.49 (define @t2586 () (=> @t1840 (=> true @t1837))) % 1.23/1.49 (define @t2587 () (=> @t1836 @t2586)) % 1.23/1.49 (define @t2588 () (=> true (=> true @t2587))) % 1.23/1.49 (define @t2589 () (=> @t1847 @t2588)) % 1.23/1.49 (define @t2590 () (=> @t1854 @t2589)) % 1.23/1.49 (define @t2591 () (=> @t1875 @t2590)) % 1.23/1.49 (define @t2592 () (=> @t1882 @t2591)) % 1.23/1.49 (define @t2593 () (=> @t1890 @t2592)) % 1.23/1.49 (define @t2594 () (=> @t1903 @t2593)) % 1.23/1.49 (define @t2595 () (=> @t1911 @t2594)) % 1.23/1.49 (define @t2596 () (=> @t1917 @t2595)) % 1.23/1.49 (define @t2597 () (=> @t1923 @t2596)) % 1.23/1.49 (define @t2598 () (=> @t1936 @t2597)) % 1.23/1.49 (define @t2599 () (=> @t1949 @t2598)) % 1.23/1.49 (define @t2600 () (=> @t1949 @t2599)) % 1.23/1.49 (define @t2601 () (=> @t1950 @t2600)) % 1.23/1.49 (define @t2602 () (=> @t1951 @t2601)) % 1.23/1.49 (define @t2603 () (=> @t1956 @t2602)) % 1.23/1.49 (define @t2604 () (=> @t1957 @t2603)) % 1.23/1.49 (define @t2605 () (=> @t1963 @t2604)) % 1.23/1.49 (define @t2606 () (=> @t1964 @t2605)) % 1.23/1.49 (define @t2607 () (=> @t1970 @t2606)) % 1.23/1.49 (define @t2608 () (=> @t1976 @t2607)) % 1.23/1.49 (define @t2609 () (=> @t1982 @t2608)) % 1.23/1.49 (define @t2610 () (=> @t1988 @t2609)) % 1.23/1.49 (define @t2611 () (=> @t1990 @t2610)) % 1.23/1.49 (define @t2612 () (=> @t1991 @t2611)) % 1.23/1.49 (define @t2613 () (=> @t1998 @t2612)) % 1.23/1.49 (define @t2614 () (=> @t1999 @t2613)) % 1.23/1.49 (define @t2615 () (=> @t1999 @t2614)) % 1.23/1.49 (define @t2616 () (=> @t2006 @t2615)) % 1.23/1.49 (define @t2617 () (=> @t2013 @t2616)) % 1.23/1.49 (define @t2618 () (=> @t2019 @t2617)) % 1.23/1.49 (define @t2619 () (=> @t2025 @t2618)) % 1.23/1.49 (define @t2620 () (=> @t2028 (=> true @t2619))) % 1.23/1.49 (define @t2621 () (=> @t2029 @t2620)) % 1.23/1.49 (define @t2622 () (=> @t2031 @t2621)) % 1.23/1.49 (define @t2623 () (=> @t2034 @t2622)) % 1.23/1.49 (define @t2624 () (=> @t2037 @t2623)) % 1.23/1.49 (define @t2625 () (=> @t2044 @t2624)) % 1.23/1.49 (define @t2626 () (=> @t2047 @t2625)) % 1.23/1.49 (define @t2627 () (=> @t2058 @t2626)) % 1.23/1.49 (define @t2628 () (=> @t2059 @t2627)) % 1.23/1.49 (define @t2629 () (=> @t2063 @t2628)) % 1.23/1.49 (define @t2630 () (=> @t2066 @t2629)) % 1.23/1.49 (define @t2631 () (=> @t2068 @t2630)) % 1.23/1.49 (define @t2632 () (=> @t2069 @t2631)) % 1.23/1.49 (define @t2633 () (=> @t2070 @t2632)) % 1.23/1.49 (define @t2634 () (=> @t2072 @t2633)) % 1.23/1.49 (define @t2635 () (=> @t2075 @t2634)) % 1.23/1.49 (define @t2636 () (=> @t2077 @t2635)) % 1.23/1.49 (define @t2637 () (=> @t2082 @t2636)) % 1.23/1.49 (define @t2638 () (=> @t2084 @t2637)) % 1.23/1.49 (define @t2639 () (=> @t2085 @t2638)) % 1.23/1.49 (define @t2640 () (=> @t2101 @t2639)) % 1.23/1.49 (define @t2641 () (=> @t2108 @t2640)) % 1.23/1.49 (define @t2642 () (=> @t2111 @t2641)) % 1.23/1.49 (define @t2643 () (=> @t2101 @t2642)) % 1.23/1.49 (define @t2644 () (=> @t2113 @t2643)) % 1.23/1.49 (define @t2645 () (=> @t2117 @t2644)) % 1.23/1.49 (define @t2646 () (=> @t2119 @t2645)) % 1.23/1.49 (define @t2647 () (=> @t2125 @t2646)) % 1.23/1.49 (define @t2648 () (=> @t2126 @t2647)) % 1.23/1.49 (define @t2649 () (=> @t2133 @t2648)) % 1.23/1.49 (define @t2650 () (=> @t2139 @t2649)) % 1.23/1.49 (define @t2651 () (=> @t2148 @t2650)) % 1.23/1.49 (define @t2652 () (=> @t2154 @t2651)) % 1.23/1.49 (define @t2653 () (=> @t2160 @t2652)) % 1.23/1.49 (define @t2654 () (=> @t2166 @t2653)) % 1.23/1.49 (define @t2655 () (=> @t2172 @t2654)) % 1.23/1.49 (define @t2656 () (=> @t2175 @t2655)) % 1.23/1.49 (define @t2657 () (=> @t2177 @t2656)) % 1.23/1.49 (define @t2658 () (=> @t2179 @t2657)) % 1.23/1.49 (define @t2659 () (=> @t2181 @t2658)) % 1.23/1.49 (define @t2660 () (=> @t2183 @t2659)) % 1.23/1.49 (define @t2661 () (=> @t2185 @t2660)) % 1.23/1.49 (define @t2662 () (=> @t2188 @t2661)) % 1.23/1.49 (define @t2663 () (=> @t2190 @t2662)) % 1.23/1.49 (define @t2664 () (=> @t2192 @t2663)) % 1.23/1.49 (define @t2665 () (=> @t2197 @t2664)) % 1.23/1.49 (define @t2666 () (=> @t2199 @t2665)) % 1.23/1.49 (define @t2667 () (=> @t2200 @t2666)) % 1.23/1.49 (define @t2668 () (=> @t2201 @t2667)) % 1.23/1.49 (define @t2669 () (=> @t2204 @t2668)) % 1.23/1.49 (define @t2670 () (=> @t2208 @t2669)) % 1.23/1.49 (define @t2671 () (=> @t2210 @t2670)) % 1.23/1.49 (define @t2672 () (=> @t2213 @t2671)) % 1.23/1.49 (define @t2673 () (=> @t2214 @t2672)) % 1.23/1.49 (define @t2674 () (=> @t2215 @t2673)) % 1.23/1.49 (define @t2675 () (=> @t2216 @t2674)) % 1.23/1.49 (define @t2676 () (=> @t2218 @t2675)) % 1.23/1.49 (define @t2677 () (=> @t2219 @t2676)) % 1.23/1.49 (define @t2678 () (=> @t2220 @t2677)) % 1.23/1.49 (define @t2679 () (=> @t2221 @t2678)) % 1.23/1.49 (define @t2680 () (=> @t2227 @t2679)) % 1.23/1.49 (define @t2681 () (=> @t2229 @t2680)) % 1.23/1.49 (define @t2682 () (=> @t2233 @t2681)) % 1.23/1.49 (define @t2683 () (=> @t2235 @t2682)) % 1.23/1.49 (define @t2684 () (=> @t2238 @t2683)) % 1.23/1.49 (define @t2685 () (=> @t2241 @t2684)) % 1.23/1.49 (define @t2686 () (=> @t2242 @t2685)) % 1.23/1.49 (define @t2687 () (=> @t2243 @t2686)) % 1.23/1.49 (define @t2688 () (=> @t2245 @t2687)) % 1.23/1.49 (define @t2689 () (=> @t2246 @t2688)) % 1.23/1.49 (define @t2690 () (=> @t2250 @t2689)) % 1.23/1.49 (define @t2691 () (=> @t2251 @t2690)) % 1.23/1.49 (define @t2692 () (=> @t2253 @t2691)) % 1.23/1.49 (define @t2693 () (=> @t2255 @t2692)) % 1.23/1.49 (define @t2694 () (=> @t2258 @t2693)) % 1.23/1.49 (define @t2695 () (=> @t2258 @t2694)) % 1.23/1.49 (define @t2696 () (=> @t2259 @t2695)) % 1.23/1.49 (define @t2697 () (=> @t2192 @t2696)) % 1.23/1.49 (define @t2698 () (=> @t2260 @t2697)) % 1.23/1.49 (define @t2699 () (=> @t2261 @t2698)) % 1.23/1.49 (define @t2700 () (=> @t2262 @t2699)) % 1.23/1.49 (define @t2701 () (=> @t2265 @t2700)) % 1.23/1.49 (define @t2702 () (=> @t2267 @t2701)) % 1.23/1.49 (define @t2703 () (=> @t2270 @t2702)) % 1.23/1.49 (define @t2704 () (=> @t2271 @t2703)) % 1.23/1.49 (define @t2705 () (=> @t2273 @t2704)) % 1.23/1.49 (define @t2706 () (=> @t2274 @t2705)) % 1.23/1.49 (define @t2707 () (=> @t2276 @t2706)) % 1.23/1.49 (define @t2708 () (=> @t2279 @t2707)) % 1.23/1.49 (define @t2709 () (=> @t2282 @t2708)) % 1.23/1.49 (define @t2710 () (=> @t2285 @t2709)) % 1.23/1.49 (define @t2711 () (=> @t2287 @t2710)) % 1.23/1.49 (define @t2712 () (=> @t2289 (=> true @t2711))) % 1.23/1.49 (define @t2713 () (=> @t2290 @t2712)) % 1.23/1.49 (define @t2714 () (=> @t2291 @t2713)) % 1.23/1.49 (define @t2715 () (=> @t2292 @t2714)) % 1.23/1.49 (define @t2716 () (=> @t2294 @t2715)) % 1.23/1.49 (define @t2717 () (=> @t2297 @t2716)) % 1.23/1.49 (define @t2718 () (=> @t2289 @t2717)) % 1.23/1.49 (define @t2719 () (=> @t2289 @t2718)) % 1.23/1.49 (define @t2720 () (=> @t2297 @t2719)) % 1.23/1.49 (define @t2721 () (=> @t2308 @t2720)) % 1.23/1.49 (define @t2722 () (=> @t2321 @t2721)) % 1.23/1.49 (define @t2723 () (=> @t2330 @t2722)) % 1.23/1.49 (define @t2724 () (=> true (=> true @t2723))) % 1.23/1.49 (define @t2725 () (=> true @t2724)) % 1.23/1.49 (define @t2726 () (=> true @t2725)) % 1.23/1.49 (define @t2727 () (=> true @t2726)) % 1.23/1.49 (define @t2728 () (=> @t2340 @t2727)) % 1.23/1.49 (define @t2729 () (=> @t2330 @t2728)) % 1.23/1.49 (define @t2730 () (=> true (=> true @t2729))) % 1.23/1.49 (define @t2731 () (=> @t2343 @t2730)) % 1.23/1.49 (define @t2732 () (=> @t2349 @t2731)) % 1.23/1.49 (define @t2733 () (=> true (=> true @t2732))) % 1.23/1.49 (define @t2734 () (=> true @t2733)) % 1.23/1.49 (define @t2735 () (=> @t2352 @t2734)) % 1.23/1.49 (define @t2736 () (=> @t2354 @t2735)) % 1.23/1.49 (define @t2737 () (=> true (=> true @t2736))) % 1.23/1.49 (define @t2738 () (=> true @t2737)) % 1.23/1.49 (define @t2739 () (=> true @t2738)) % 1.23/1.49 (define @t2740 () (=> @t2358 @t2739)) % 1.23/1.49 (define @t2741 () (=> @t2366 @t2740)) % 1.23/1.49 (define @t2742 () (=> @t2192 @t2741)) % 1.23/1.49 (define @t2743 () (=> @t2370 @t2742)) % 1.23/1.49 (define @t2744 () (=> @t2175 @t2743)) % 1.23/1.49 (define @t2745 () (=> @t2376 @t2744)) % 1.23/1.49 (define @t2746 () (=> @t2379 @t2745)) % 1.23/1.49 (define @t2747 () (=> @t2381 @t2746)) % 1.23/1.49 (define @t2748 () (=> @t2383 @t2747)) % 1.23/1.49 (define @t2749 () (=> @t2387 @t2748)) % 1.23/1.49 (define @t2750 () (=> @t2395 @t2749)) % 1.23/1.49 (define @t2751 () (=> @t2399 @t2750)) % 1.23/1.49 (define @t2752 () (=> @t2405 @t2751)) % 1.23/1.49 (define @t2753 () (=> @t2407 @t2752)) % 1.23/1.49 (define @t2754 () (=> @t2409 @t2753)) % 1.23/1.49 (define @t2755 () (=> @t2412 @t2754)) % 1.23/1.49 (define @t2756 () (=> @t2412 @t2755)) % 1.23/1.49 (define @t2757 () (=> @t2417 @t2756)) % 1.23/1.49 (define @t2758 () (=> @t2422 @t2757)) % 1.23/1.49 (define @t2759 () (=> @t2425 @t2758)) % 1.23/1.49 (define @t2760 () (=> @t2425 @t2759)) % 1.23/1.49 (define @t2761 () (=> @t2428 @t2760)) % 1.23/1.49 (define @t2762 () (=> @t221 @t2761)) % 1.23/1.49 (define @t2763 () (=> @t2435 @t2762)) % 1.23/1.49 (define @t2764 () (=> @t2440 @t2763)) % 1.23/1.49 (define @t2765 () (=> @t2442 @t2764)) % 1.23/1.49 (define @t2766 () (=> @t2387 @t2765)) % 1.23/1.49 (define @t2767 () (=> @t2446 @t2766)) % 1.23/1.49 (define @t2768 () (=> @t2448 @t2767)) % 1.23/1.49 (define @t2769 () (=> @t2448 @t2768)) % 1.23/1.49 (define @t2770 () (=> @t2452 @t2769)) % 1.23/1.49 (define @t2771 () (=> @t2459 @t2770)) % 1.23/1.49 (define @t2772 () (=> @t2461 @t2771)) % 1.23/1.49 (define @t2773 () (=> @t2461 @t2772)) % 1.23/1.49 (define @t2774 () (=> @t2461 @t2773)) % 1.23/1.49 (define @t2775 () (=> @t2466 @t2774)) % 1.23/1.49 (define @t2776 () (=> @t2469 (=> true @t2775))) % 1.23/1.49 (define @t2777 () (=> @t2471 @t2776)) % 1.23/1.49 (define @t2778 () (=> @t2473 @t2777)) % 1.23/1.49 (define @t2779 () (=> @t2479 @t2778)) % 1.23/1.49 (define @t2780 () (=> @t2531 @t2779)) % 1.23/1.49 (define @t2781 () (=> @t2539 @t2780)) % 1.23/1.49 (define @t2782 () (=> @t2553 @t2781)) % 1.23/1.49 (define @t2783 () (=> @t2568 @t2782)) % 1.23/1.49 (define @t2784 () (=> @t2571 @t2783)) % 1.23/1.49 (define @t2785 () (=> @t50 @t2784)) % 1.23/1.49 (define @t2786 () (=> @t2575 @t2785)) % 1.23/1.49 (define @t2787 () (=> @t2577 @t2786)) % 1.23/1.49 (define @t2788 () (=> @t2580 @t2787)) % 1.23/1.49 (define @t2789 () (=> @t2461 @t2788)) % 1.23/1.49 (define @t2790 () (=> @t2584 @t2789)) % 1.23/1.49 (define @t2791 () (or @t1605 @t1604 @t1603)) % 1.23/1.49 (define @t2792 () (or @t1597 @t2791)) % 1.23/1.49 (define @t2793 () (forall @t1607 @t2792)) % 1.23/1.49 (define @t2794 () (@list @t1602)) % 1.23/1.49 (define @t2795 () (forall @t2794 @t2792)) % 1.23/1.49 (define @t2796 () (forall @t2794 @t2791)) % 1.23/1.49 (define @t2797 () (@list @t1129)) % 1.23/1.49 (define @t2798 () (or @t1597 @t2796)) % 1.23/1.49 (define @t2799 () (tptp.subset @t1129 @t1601)) % 1.23/1.49 (define @t2800 () (tptp.setminus @t2 @t1129)) % 1.23/1.49 (define @t2801 () (tptp.subset @t695 @t2800)) % 1.23/1.49 (define @t2802 () (not @t2801)) % 1.23/1.49 (define @t2803 () (tptp.in @t1129 @t1594)) % 1.23/1.49 (define @t2804 () (not @t2803)) % 1.23/1.49 (define @t2805 () (forall @t1134 (or @t2804 @t2802 @t2799))) % 1.23/1.49 (define @t2806 () (not @t1136)) % 1.23/1.49 (define @t2807 () (or @t2806 @t2805)) % 1.23/1.49 (define @t2808 () (not @t1231)) % 1.23/1.49 (define @t2809 () (not @t1133)) % 1.23/1.49 (define @t2810 () (or @t2809 @t2808 @t1315)) % 1.23/1.49 (define @t2811 () (=> tptp.complementTcontraSubset @t1600)) % 1.23/1.49 (define @t2812 () (or @t1614 @t1613 @t1612 @t1611 @t1609)) % 1.23/1.49 (define @t2813 () (or @t1597 @t2812)) % 1.23/1.49 (define @t2814 () (forall @t1616 @t2813)) % 1.23/1.49 (define @t2815 () (@list @t1610 @t1608)) % 1.23/1.49 (define @t2816 () (forall @t2815 @t2813)) % 1.23/1.49 (define @t2817 () (forall @t2815 @t2812)) % 1.23/1.49 (define @t2818 () (@var "BOUND_VARIABLE_14547" $$unsorted)) % 1.23/1.49 (define @t2819 () (or @t1597 @t2817)) % 1.23/1.49 (define @t2820 () (tptp.in @t2818 @t1601)) % 1.23/1.49 (define @t2821 () (not (tptp.in @t2818 @t1129))) % 1.23/1.49 (define @t2822 () (not (tptp.in @t2818 @t2))) % 1.23/1.49 (define @t2823 () (or @t2804 @t2802 @t2822 @t2821 @t2820)) % 1.23/1.49 (define @t2824 () (@list @t1129 @t2818)) % 1.23/1.49 (define @t2825 () (forall @t2824 @t2823)) % 1.23/1.49 (define @t2826 () (or @t2806 @t2825)) % 1.23/1.49 (define @t2827 () (or @t2822 @t2821 @t2820)) % 1.23/1.49 (define @t2828 () (or @t2804 @t2802 @t2827)) % 1.23/1.49 (define @t2829 () (forall @t2824 @t2828)) % 1.23/1.49 (define @t2830 () (@list @t2818)) % 1.23/1.49 (define @t2831 () (forall @t2830 @t2828)) % 1.23/1.49 (define @t2832 () (forall @t2830 @t2827)) % 1.23/1.49 (define @t2833 () (@list @t4)) % 1.23/1.49 (define @t2834 () (or @t2804 @t2802 @t2832)) % 1.23/1.49 (define @t2835 () (tptp.in @t4 @t1601)) % 1.23/1.49 (define @t2836 () (tptp.in @t4 @t1129)) % 1.23/1.49 (define @t2837 () (not @t2836)) % 1.23/1.49 (define @t2838 () (forall @t9 (or @t1730 @t2837 @t2835))) % 1.23/1.49 (define @t2839 () (or @t2809 @t2808 @t2838)) % 1.23/1.49 (define @t2840 () (=> @t1231 @t2838)) % 1.23/1.50 (define @t2841 () (or @t197 @t1221 @t1199)) % 1.23/1.50 (define @t2842 () (=> tptp.contraSubsetComplement @t2811)) % 1.23/1.50 (define @t2843 () (or @t1619 @t1618)) % 1.23/1.50 (define @t2844 () (or @t1597 @t2843)) % 1.23/1.50 (define @t2845 () (forall @t1621 @t2844)) % 1.23/1.50 (define @t2846 () (@list @t1617)) % 1.23/1.50 (define @t2847 () (forall @t2846 @t2844)) % 1.23/1.50 (define @t2848 () (forall @t2846 @t2843)) % 1.23/1.50 (define @t2849 () (or @t1597 @t2848)) % 1.23/1.50 (define @t2850 () (tptp.binintersect @t695 @t1129)) % 1.23/1.50 (define @t2851 () (tptp.setminus @t2 @t2850)) % 1.23/1.50 (define @t2852 () (tptp.powerset @t2851)) % 1.23/1.50 (define @t2853 () (tptp.in @t1601 @t2852)) % 1.23/1.50 (define @t2854 () (forall @t1134 (or @t2804 @t2853))) % 1.23/1.50 (define @t2855 () (or @t2806 @t2854)) % 1.23/1.50 (define @t2856 () (_ tptp.in @t1601)) % 1.23/1.50 (define @t2857 () (or @t2809 @t1301)) % 1.23/1.50 (define @t2858 () (=> tptp.complementInPowersetComplementIntersect @t2842)) % 1.23/1.50 (define @t2859 () (or @t1624 @t1623)) % 1.23/1.50 (define @t2860 () (or @t1597 @t2859)) % 1.23/1.50 (define @t2861 () (forall @t1626 @t2860)) % 1.23/1.50 (define @t2862 () (@list @t1622)) % 1.23/1.50 (define @t2863 () (forall @t2862 @t2860)) % 1.23/1.50 (define @t2864 () (forall @t2862 @t2859)) % 1.23/1.50 (define @t2865 () (or @t1597 @t2864)) % 1.23/1.50 (define @t2866 () (tptp.subset @t1601 @t2851)) % 1.23/1.50 (define @t2867 () (forall @t1134 (or @t2804 @t2866))) % 1.23/1.50 (define @t2868 () (or @t2806 @t2867)) % 1.23/1.50 (define @t2869 () (or @t2809 @t1295)) % 1.23/1.50 (define @t2870 () (=> tptp.complementSubsetComplementIntersect @t2858)) % 1.23/1.50 (define @t2871 () (or @t1632 @t1631 @t1630 @t1629)) % 1.23/1.50 (define @t2872 () (or @t1597 @t2871)) % 1.23/1.50 (define @t2873 () (forall @t1634 @t2872)) % 1.23/1.50 (define @t2874 () (@list @t1627 @t1628)) % 1.23/1.50 (define @t2875 () (forall @t2874 @t2872)) % 1.23/1.50 (define @t2876 () (forall @t2874 @t2871)) % 1.23/1.50 (define @t2877 () (@var "BOUND_VARIABLE_14436" $$unsorted)) % 1.23/1.50 (define @t2878 () (or @t1597 @t2876)) % 1.23/1.50 (define @t2879 () (tptp.in @t2877 @t2851)) % 1.23/1.50 (define @t2880 () (not (tptp.in @t2877 @t1601))) % 1.23/1.50 (define @t2881 () (not (tptp.in @t2877 @t2))) % 1.23/1.50 (define @t2882 () (or @t2804 @t2881 @t2880 @t2879)) % 1.23/1.50 (define @t2883 () (@list @t1129 @t2877)) % 1.23/1.50 (define @t2884 () (forall @t2883 @t2882)) % 1.23/1.50 (define @t2885 () (or @t2806 @t2884)) % 1.23/1.50 (define @t2886 () (or @t2881 @t2880 @t2879)) % 1.23/1.50 (define @t2887 () (or @t2804 @t2886)) % 1.23/1.50 (define @t2888 () (forall @t2883 @t2887)) % 1.23/1.50 (define @t2889 () (@list @t2877)) % 1.23/1.50 (define @t2890 () (forall @t2889 @t2887)) % 1.23/1.50 (define @t2891 () (forall @t2889 @t2886)) % 1.23/1.50 (define @t2892 () (or @t2804 @t2891)) % 1.23/1.50 (define @t2893 () (tptp.in @t4 @t2851)) % 1.23/1.50 (define @t2894 () (not @t2835)) % 1.23/1.50 (define @t2895 () (forall @t9 (or @t1730 @t2894 @t2893))) % 1.23/1.50 (define @t2896 () (or @t2809 @t2895)) % 1.23/1.50 (define @t2897 () (or @t197 @t1200 @t1287)) % 1.23/1.50 (define @t2898 () (=> tptp.complementImpComplementIntersect @t2870)) % 1.23/1.50 (define @t2899 () (or @t1640 @t1639 @t1638 @t1637)) % 1.23/1.50 (define @t2900 () (or @t1597 @t2899)) % 1.23/1.50 (define @t2901 () (forall @t1642 @t2900)) % 1.23/1.50 (define @t2902 () (@list @t1635 @t1636)) % 1.23/1.50 (define @t2903 () (forall @t2902 @t2900)) % 1.23/1.50 (define @t2904 () (forall @t2902 @t2899)) % 1.23/1.50 (define @t2905 () (@var "BOUND_VARIABLE_14380" $$unsorted)) % 1.23/1.50 (define @t2906 () (or @t1597 @t2904)) % 1.23/1.50 (define @t2907 () (not (tptp.in @t2905 @t2850))) % 1.23/1.50 (define @t2908 () (not (tptp.in @t2905 @t1601))) % 1.23/1.50 (define @t2909 () (not (tptp.in @t2905 @t2))) % 1.23/1.50 (define @t2910 () (or @t2804 @t2909 @t2908 @t2907)) % 1.23/1.50 (define @t2911 () (@list @t1129 @t2905)) % 1.23/1.50 (define @t2912 () (forall @t2911 @t2910)) % 1.23/1.50 (define @t2913 () (or @t2806 @t2912)) % 1.23/1.50 (define @t2914 () (or @t2909 @t2908 @t2907)) % 1.23/1.50 (define @t2915 () (or @t2804 @t2914)) % 1.23/1.50 (define @t2916 () (forall @t2911 @t2915)) % 1.23/1.50 (define @t2917 () (@list @t2905)) % 1.23/1.50 (define @t2918 () (forall @t2917 @t2915)) % 1.23/1.50 (define @t2919 () (forall @t2917 @t2914)) % 1.23/1.50 (define @t2920 () (or @t2804 @t2919)) % 1.23/1.50 (define @t2921 () (tptp.in @t4 @t2850)) % 1.23/1.50 (define @t2922 () (not @t2921)) % 1.23/1.50 (define @t2923 () (forall @t9 (or @t1730 @t2894 @t2922))) % 1.23/1.50 (define @t2924 () (or @t2809 @t2923)) % 1.23/1.50 (define @t2925 () (or @t197 @t1200 @t1212)) % 1.23/1.50 (define @t2926 () (=> tptp.complementTnotintersectT @t2898)) % 1.23/1.50 (define @t2927 () (or @t2806 @t1276)) % 1.23/1.50 (define @t2928 () (=> tptp.doubleComplementEq @t2926)) % 1.23/1.50 (define @t2929 () (or @t2806 @t1273)) % 1.23/1.50 (define @t2930 () (=> tptp.doubleComplementSub2 @t2928)) % 1.23/1.50 (define @t2931 () (or @t2806 @t1270)) % 1.23/1.50 (define @t2932 () (=> tptp.doubleComplementSub1 @t2930)) % 1.23/1.50 (define @t2933 () (or @t1649 @t1648 @t1647)) % 1.23/1.50 (define @t2934 () (or @t1597 @t2933)) % 1.23/1.50 (define @t2935 () (forall @t1651 @t2934)) % 1.23/1.50 (define @t2936 () (@list @t1646)) % 1.23/1.50 (define @t2937 () (forall @t2936 @t2934)) % 1.23/1.50 (define @t2938 () (forall @t2936 @t2933)) % 1.23/1.50 (define @t2939 () (or @t1597 @t2938)) % 1.23/1.50 (define @t2940 () (tptp.in @t4 @t1643)) % 1.23/1.50 (define @t2941 () (forall @t9 (or @t1730 (not @t2940) @t1727))) % 1.23/1.50 (define @t2942 () (or @t2806 @t2941)) % 1.23/1.50 (define @t2943 () (not @t1259)) % 1.23/1.50 (define @t2944 () (or @t197 @t2943 @t696)) % 1.23/1.50 (define @t2945 () (=> tptp.doubleComplementE1 @t2932)) % 1.23/1.50 (define @t2946 () (or @t1655 @t1654 @t1653)) % 1.23/1.50 (define @t2947 () (or @t1597 @t2946)) % 1.23/1.50 (define @t2948 () (forall @t1657 @t2947)) % 1.23/1.50 (define @t2949 () (@list @t1652)) % 1.23/1.50 (define @t2950 () (forall @t2949 @t2947)) % 1.23/1.50 (define @t2951 () (forall @t2949 @t2946)) % 1.23/1.50 (define @t2952 () (or @t1597 @t2951)) % 1.23/1.50 (define @t2953 () (forall @t9 (or @t1730 @t1728 @t2940))) % 1.23/1.50 (define @t2954 () (or @t2806 @t2953)) % 1.23/1.50 (define @t2955 () (or @t197 @t1213 @t1259)) % 1.23/1.50 (define @t2956 () (=> tptp.doubleComplementI1 @t2945)) % 1.23/1.50 (define @t2957 () (or @t1661 @t1660 @t1659)) % 1.23/1.50 (define @t2958 () (or @t1597 @t2957)) % 1.23/1.50 (define @t2959 () (forall @t1663 @t2958)) % 1.23/1.50 (define @t2960 () (@list @t1658)) % 1.23/1.50 (define @t2961 () (forall @t2960 @t2958)) % 1.23/1.50 (define @t2962 () (forall @t2960 @t2957)) % 1.23/1.50 (define @t2963 () (or @t1597 @t2962)) % 1.23/1.50 (define @t2964 () (tptp.subset @t695 @t1129)) % 1.23/1.50 (define @t2965 () (tptp.subset @t2800 @t1601)) % 1.23/1.50 (define @t2966 () (forall @t1134 (or @t2804 (not @t2965) @t2964))) % 1.23/1.50 (define @t2967 () (or @t2806 @t2966)) % 1.23/1.50 (define @t2968 () (not @t1247)) % 1.23/1.50 (define @t2969 () (or @t2809 @t2968 @t1177)) % 1.23/1.50 (define @t2970 () (=> tptp.contrasubsetT3 @t2956)) % 1.23/1.50 (define @t2971 () (or @t1667 @t1666 @t1665)) % 1.23/1.50 (define @t2972 () (or @t1597 @t2971)) % 1.23/1.50 (define @t2973 () (forall @t1669 @t2972)) % 1.23/1.50 (define @t2974 () (@list @t1664)) % 1.23/1.50 (define @t2975 () (forall @t2974 @t2972)) % 1.23/1.50 (define @t2976 () (forall @t2974 @t2971)) % 1.23/1.50 (define @t2977 () (or @t1597 @t2976)) % 1.23/1.50 (define @t2978 () (not @t2964)) % 1.23/1.50 (define @t2979 () (forall @t1134 (or @t2804 @t2978 @t2965))) % 1.23/1.50 (define @t2980 () (or @t2806 @t2979)) % 1.23/1.50 (define @t2981 () (not @t1177)) % 1.23/1.50 (define @t2982 () (or @t2809 @t2981 @t1247)) % 1.23/1.50 (define @t2983 () (=> tptp.contrasubsetT2 @t2970)) % 1.23/1.50 (define @t2984 () (or @t1676 @t1675 @t1674 @t1673 @t1671)) % 1.23/1.50 (define @t2985 () (or @t1597 @t2984)) % 1.23/1.50 (define @t2986 () (forall @t1678 @t2985)) % 1.23/1.50 (define @t2987 () (@list @t1672 @t1670)) % 1.23/1.50 (define @t2988 () (forall @t2987 @t2985)) % 1.23/1.50 (define @t2989 () (forall @t2987 @t2984)) % 1.23/1.50 (define @t2990 () (@var "BOUND_VARIABLE_14188" $$unsorted)) % 1.23/1.50 (define @t2991 () (or @t1597 @t2989)) % 1.23/1.50 (define @t2992 () (not (tptp.in @t2990 @t695))) % 1.23/1.50 (define @t2993 () (tptp.in @t2990 @t1129)) % 1.23/1.50 (define @t2994 () (not (tptp.in @t2990 @t2))) % 1.23/1.50 (define @t2995 () (or @t2804 @t2978 @t2994 @t2993 @t2992)) % 1.23/1.50 (define @t2996 () (@list @t1129 @t2990)) % 1.23/1.50 (define @t2997 () (forall @t2996 @t2995)) % 1.23/1.50 (define @t2998 () (or @t2806 @t2997)) % 1.23/1.50 (define @t2999 () (or @t2994 @t2993 @t2992)) % 1.23/1.50 (define @t3000 () (or @t2804 @t2978 @t2999)) % 1.23/1.50 (define @t3001 () (forall @t2996 @t3000)) % 1.23/1.50 (define @t3002 () (@list @t2990)) % 1.23/1.50 (define @t3003 () (forall @t3002 @t3000)) % 1.23/1.50 (define @t3004 () (forall @t3002 @t2999)) % 1.23/1.50 (define @t3005 () (or @t2804 @t2978 @t3004)) % 1.23/1.50 (define @t3006 () (forall @t9 (or @t1730 @t2836 @t1728))) % 1.23/1.50 (define @t3007 () (or @t2809 @t2981 @t3006)) % 1.23/1.50 (define @t3008 () (or @t2981 @t3006)) % 1.23/1.50 (define @t3009 () (or @t197 @t1164 @t1213)) % 1.23/1.50 (define @t3010 () (forall @t9 @t3009)) % 1.23/1.50 (define @t3011 () (or @t2981 @t3010)) % 1.23/1.50 (define @t3012 () (or @t2981 @t3009)) % 1.23/1.50 (define @t3013 () (or @t197 @t2981 @t1164 @t1213)) % 1.23/1.50 (define @t3014 () (or @t2981 @t1164 @t1213)) % 1.23/1.50 (define @t3015 () (not @t1221)) % 1.23/1.50 (define @t3016 () (=> tptp.contrasubsetT1 @t2983)) % 1.23/1.50 (define @t3017 () (or @t1685 @t1684 @t1683 @t1682 @t1680)) % 1.23/1.50 (define @t3018 () (or @t1597 @t3017)) % 1.23/1.50 (define @t3019 () (forall @t1687 @t3018)) % 1.23/1.50 (define @t3020 () (@list @t1681 @t1679)) % 1.23/1.50 (define @t3021 () (forall @t3020 @t3018)) % 1.23/1.50 (define @t3022 () (forall @t3020 @t3017)) % 1.23/1.50 (define @t3023 () (@var "BOUND_VARIABLE_14127" $$unsorted)) % 1.23/1.50 (define @t3024 () (or @t1597 @t3022)) % 1.23/1.50 (define @t3025 () (not (tptp.in @t3023 @t695))) % 1.23/1.50 (define @t3026 () (not (tptp.in @t3023 @t1129))) % 1.23/1.50 (define @t3027 () (not (tptp.in @t3023 @t2))) % 1.23/1.50 (define @t3028 () (or @t2804 @t2802 @t3027 @t3026 @t3025)) % 1.23/1.50 (define @t3029 () (@list @t1129 @t3023)) % 1.23/1.50 (define @t3030 () (forall @t3029 @t3028)) % 1.23/1.50 (define @t3031 () (or @t2806 @t3030)) % 1.23/1.50 (define @t3032 () (or @t3027 @t3026 @t3025)) % 1.23/1.50 (define @t3033 () (or @t2804 @t2802 @t3032)) % 1.23/1.50 (define @t3034 () (forall @t3029 @t3033)) % 1.23/1.50 (define @t3035 () (@list @t3023)) % 1.23/1.50 (define @t3036 () (forall @t3035 @t3033)) % 1.23/1.50 (define @t3037 () (forall @t3035 @t3032)) % 1.23/1.50 (define @t3038 () (or @t2804 @t2802 @t3037)) % 1.23/1.50 (define @t3039 () (forall @t9 (or @t1730 @t2837 @t1728))) % 1.23/1.50 (define @t3040 () (or @t2809 @t2808 @t3039)) % 1.23/1.50 (define @t3041 () (or @t2808 @t3039)) % 1.23/1.50 (define @t3042 () (or @t197 @t1221 @t1213)) % 1.23/1.50 (define @t3043 () (forall @t9 @t3042)) % 1.23/1.50 (define @t3044 () (or @t2808 @t3043)) % 1.23/1.50 (define @t3045 () (or @t2808 @t3042)) % 1.23/1.50 (define @t3046 () (or @t197 @t2808 @t1221 @t1213)) % 1.23/1.50 (define @t3047 () (or @t2808 @t1221 @t1213)) % 1.23/1.50 (define @t3048 () (=> tptp.contrasubsetT @t3016)) % 1.23/1.50 (define @t3049 () (or @t1693 @t1692 @t1691 @t1690)) % 1.23/1.50 (define @t3050 () (or @t1597 @t3049)) % 1.23/1.50 (define @t3051 () (forall @t1695 @t3050)) % 1.23/1.50 (define @t3052 () (@list @t1688 @t1689)) % 1.23/1.50 (define @t3053 () (forall @t3052 @t3050)) % 1.23/1.50 (define @t3054 () (forall @t3052 @t3049)) % 1.23/1.50 (define @t3055 () (@var "BOUND_VARIABLE_14067" $$unsorted)) % 1.23/1.50 (define @t3056 () (or @t1597 @t3054)) % 1.23/1.50 (define @t3057 () (not (tptp.in @t3055 @t2850))) % 1.23/1.50 (define @t3058 () (tptp.in @t3055 @t1129)) % 1.23/1.50 (define @t3059 () (not (tptp.in @t3055 @t2))) % 1.23/1.50 (define @t3060 () (or @t2804 @t3059 @t3058 @t3057)) % 1.23/1.50 (define @t3061 () (@list @t1129 @t3055)) % 1.23/1.50 (define @t3062 () (forall @t3061 @t3060)) % 1.23/1.50 (define @t3063 () (or @t2806 @t3062)) % 1.23/1.50 (define @t3064 () (or @t3059 @t3058 @t3057)) % 1.23/1.50 (define @t3065 () (or @t2804 @t3064)) % 1.23/1.50 (define @t3066 () (forall @t3061 @t3065)) % 1.23/1.50 (define @t3067 () (@list @t3055)) % 1.23/1.50 (define @t3068 () (forall @t3067 @t3065)) % 1.23/1.50 (define @t3069 () (forall @t3067 @t3064)) % 1.23/1.50 (define @t3070 () (or @t2804 @t3069)) % 1.23/1.50 (define @t3071 () (forall @t9 (or @t1730 @t2836 @t2922))) % 1.23/1.50 (define @t3072 () (or @t2809 @t3071)) % 1.23/1.50 (define @t3073 () (or @t197 @t1164 @t1212)) % 1.23/1.50 (define @t3074 () (=> tptp.binintersectTERcontra @t3048)) % 1.23/1.50 (define @t3075 () (or @t1701 @t1700 @t1699 @t1698)) % 1.23/1.50 (define @t3076 () (or @t1597 @t3075)) % 1.23/1.50 (define @t3077 () (forall @t1703 @t3076)) % 1.23/1.50 (define @t3078 () (@list @t1696 @t1697)) % 1.23/1.50 (define @t3079 () (forall @t3078 @t3076)) % 1.23/1.50 (define @t3080 () (forall @t3078 @t3075)) % 1.23/1.50 (define @t3081 () (@var "BOUND_VARIABLE_14017" $$unsorted)) % 1.23/1.50 (define @t3082 () (or @t1597 @t3080)) % 1.23/1.50 (define @t3083 () (not (tptp.in @t3081 @t2850))) % 1.23/1.50 (define @t3084 () (tptp.in @t3081 @t695)) % 1.23/1.50 (define @t3085 () (not (tptp.in @t3081 @t2))) % 1.23/1.50 (define @t3086 () (or @t2804 @t3085 @t3084 @t3083)) % 1.23/1.50 (define @t3087 () (@list @t1129 @t3081)) % 1.23/1.50 (define @t3088 () (forall @t3087 @t3086)) % 1.23/1.50 (define @t3089 () (or @t2806 @t3088)) % 1.23/1.50 (define @t3090 () (or @t3085 @t3084 @t3083)) % 1.23/1.50 (define @t3091 () (or @t2804 @t3090)) % 1.23/1.50 (define @t3092 () (forall @t3087 @t3091)) % 1.23/1.50 (define @t3093 () (@list @t3081)) % 1.23/1.50 (define @t3094 () (forall @t3093 @t3091)) % 1.23/1.50 (define @t3095 () (forall @t3093 @t3090)) % 1.23/1.50 (define @t3096 () (or @t2804 @t3095)) % 1.23/1.50 (define @t3097 () (forall @t9 (or @t1730 @t1727 @t2922))) % 1.23/1.50 (define @t3098 () (or @t2809 @t3097)) % 1.23/1.50 (define @t3099 () (or @t197 @t696 @t1212)) % 1.23/1.50 (define @t3100 () (=> tptp.binintersectTELcontra @t3074)) % 1.23/1.50 (define @t3101 () (or @t1707 @t1706 @t1705)) % 1.23/1.50 (define @t3102 () (or @t1597 @t3101)) % 1.23/1.50 (define @t3103 () (forall @t1709 @t3102)) % 1.23/1.50 (define @t3104 () (@list @t1704)) % 1.23/1.50 (define @t3105 () (forall @t3104 @t3102)) % 1.23/1.50 (define @t3106 () (forall @t3104 @t3101)) % 1.23/1.50 (define @t3107 () (or @t1597 @t3106)) % 1.23/1.50 (define @t3108 () (forall @t9 (or @t1730 @t2835 @t1727))) % 1.23/1.50 (define @t3109 () (or @t2806 @t3108)) % 1.23/1.50 (define @t3110 () (or @t197 @t1199 @t696)) % 1.23/1.50 (define @t3111 () (=> tptp.complementTE1 @t3100)) % 1.23/1.50 (define @t3112 () (or @t1713 @t1712 @t1711)) % 1.23/1.50 (define @t3113 () (or @t1597 @t3112)) % 1.23/1.50 (define @t3114 () (forall @t1715 @t3113)) % 1.23/1.50 (define @t3115 () (@list @t1710)) % 1.23/1.50 (define @t3116 () (forall @t3115 @t3113)) % 1.23/1.50 (define @t3117 () (forall @t3115 @t3112)) % 1.23/1.50 (define @t3118 () (or @t1597 @t3117)) % 1.23/1.50 (define @t3119 () (forall @t9 (or @t1730 @t1728 @t2894))) % 1.23/1.50 (define @t3120 () (or @t2806 @t3119)) % 1.23/1.50 (define @t3121 () (or @t197 @t1213 @t1200)) % 1.23/1.50 (define @t3122 () (=> tptp.complementTI1 @t3111)) % 1.23/1.50 (define @t3123 () (or @t1722 @t1721 @t1720 @t1719 @t1718)) % 1.23/1.50 (define @t3124 () (or @t1597 @t3123)) % 1.23/1.50 (define @t3125 () (forall @t1724 @t3124)) % 1.23/1.50 (define @t3126 () (@list @t1716 @t1717)) % 1.23/1.50 (define @t3127 () (forall @t3126 @t3124)) % 1.23/1.50 (define @t3128 () (forall @t3126 @t3123)) % 1.23/1.50 (define @t3129 () (@var "BOUND_VARIABLE_13907" $$unsorted)) % 1.23/1.50 (define @t3130 () (or @t1597 @t3128)) % 1.23/1.50 (define @t3131 () (tptp.in @t3129 @t1129)) % 1.23/1.50 (define @t3132 () (not (tptp.in @t3129 @t695))) % 1.23/1.50 (define @t3133 () (not (tptp.in @t3129 @t2))) % 1.23/1.50 (define @t3134 () (tptp.powerset @t1129)) % 1.23/1.50 (define @t3135 () (tptp.in @t695 @t3134)) % 1.23/1.50 (define @t3136 () (not @t3135)) % 1.23/1.50 (define @t3137 () (or @t2804 @t3136 @t3133 @t3132 @t3131)) % 1.23/1.50 (define @t3138 () (@list @t1129 @t3129)) % 1.23/1.50 (define @t3139 () (forall @t3138 @t3137)) % 1.23/1.50 (define @t3140 () (or @t2806 @t3139)) % 1.23/1.50 (define @t3141 () (or @t3133 @t3132 @t3131)) % 1.23/1.50 (define @t3142 () (or @t2804 @t3136 @t3141)) % 1.23/1.50 (define @t3143 () (forall @t3138 @t3142)) % 1.23/1.50 (define @t3144 () (@list @t3129)) % 1.23/1.50 (define @t3145 () (forall @t3144 @t3142)) % 1.23/1.50 (define @t3146 () (forall @t3144 @t3141)) % 1.23/1.50 (define @t3147 () (or @t2804 @t3136 @t3146)) % 1.23/1.50 (define @t3148 () (forall @t9 (or @t1730 @t1728 @t2836))) % 1.23/1.50 (define @t3149 () (not @t1185)) % 1.23/1.50 (define @t3150 () (or @t2809 @t3149 @t3148)) % 1.23/1.50 (define @t3151 () (or @t3149 @t3148)) % 1.23/1.50 (define @t3152 () (or @t197 @t1213 @t1164)) % 1.23/1.50 (define @t3153 () (forall @t9 @t3152)) % 1.23/1.50 (define @t3154 () (or @t3149 @t3153)) % 1.23/1.50 (define @t3155 () (or @t3149 @t3152)) % 1.23/1.50 (define @t3156 () (or @t197 @t3149 @t1213 @t1164)) % 1.23/1.50 (define @t3157 () (or @t3149 @t1213 @t1164)) % 1.23/1.50 (define @t3158 () (or @t1213 @t1164)) % 1.23/1.50 (define @t3159 () (=> tptp.powersetTE1 @t3122)) % 1.23/1.50 (define @t3160 () (or @t1732 @t1731 @t1726)) % 1.23/1.50 (define @t3161 () (or @t1597 @t3160)) % 1.23/1.50 (define @t3162 () (forall @t1734 @t3161)) % 1.23/1.50 (define @t3163 () (@list @t1725)) % 1.23/1.50 (define @t3164 () (forall @t3163 @t3161)) % 1.23/1.50 (define @t3165 () (forall @t3163 @t3160)) % 1.23/1.50 (define @t3166 () (or @t1597 @t3165)) % 1.23/1.50 (define @t3167 () (not @t3148)) % 1.23/1.50 (define @t3168 () (forall @t1134 (or @t2804 @t3167 @t3135))) % 1.23/1.50 (define @t3169 () (or @t2806 @t3168)) % 1.23/1.50 (define @t3170 () (or @t2809 @t3167 @t1185)) % 1.23/1.50 (define @t3171 () (=> @t3148 @t1185)) % 1.23/1.50 (define @t3172 () (=> tptp.powersetTI1 @t3159)) % 1.23/1.50 (define @t3173 () (or @t1738 @t1737 @t1736)) % 1.23/1.50 (define @t3174 () (or @t1597 @t3173)) % 1.23/1.50 (define @t3175 () (forall @t1740 @t3174)) % 1.23/1.50 (define @t3176 () (@list @t1735)) % 1.23/1.50 (define @t3177 () (forall @t3176 @t3174)) % 1.23/1.50 (define @t3178 () (forall @t3176 @t3173)) % 1.23/1.50 (define @t3179 () (or @t1597 @t3178)) % 1.23/1.50 (define @t3180 () (forall @t1134 (or @t2804 @t3167 @t2964))) % 1.23/1.50 (define @t3181 () (or @t2806 @t3180)) % 1.23/1.50 (define @t3182 () (or @t2809 @t3167 @t1177)) % 1.23/1.50 (define @t3183 () (=> @t3148 @t1177)) % 1.23/1.50 (define @t3184 () (=> tptp.subsetTI @t3172)) % 1.23/1.50 (define @t3185 () (or @t1746 @t1745 @t1744 @t1742)) % 1.23/1.50 (define @t3186 () (or @t1597 @t3185)) % 1.23/1.50 (define @t3187 () (forall @t1748 @t3186)) % 1.23/1.50 (define @t3188 () (@list @t1741)) % 1.23/1.50 (define @t3189 () (forall @t3188 @t3186)) % 1.23/1.50 (define @t3190 () (forall @t3188 @t3185)) % 1.23/1.50 (define @t3191 () (or @t1597 @t3190)) % 1.23/1.50 (define @t3192 () (forall @t9 (or @t1730 @t2837 @t1727))) % 1.23/1.50 (define @t3193 () (not @t3192)) % 1.23/1.50 (define @t3194 () (forall @t1134 (or @t2804 @t3167 @t3193 @t1163))) % 1.23/1.50 (define @t3195 () (or @t2806 @t3194)) % 1.23/1.50 (define @t3196 () (or @t2809 @t3167 @t3193 @t1163)) % 1.23/1.50 (define @t3197 () (or @t3167 @t3193 @t1163)) % 1.23/1.50 (define @t3198 () (=> @t3192 @t1163)) % 1.23/1.50 (define @t3199 () (=> @t3148 @t3198)) % 1.23/1.50 (define @t3200 () (or @t197 @t1221 @t696)) % 1.23/1.50 (define @t3201 () (=> tptp.setextT @t3184)) % 1.23/1.50 (define @t3202 () (or @t2806 @t1160)) % 1.23/1.50 (define @t3203 () (=> tptp.complementT_lem @t3201)) % 1.23/1.50 (define @t3204 () (or @t1752 @t1751)) % 1.23/1.50 (define @t3205 () (or @t1597 @t3204)) % 1.23/1.50 (define @t3206 () (forall @t1754 @t3205)) % 1.23/1.50 (define @t3207 () (@list @t1750)) % 1.23/1.50 (define @t3208 () (forall @t3207 @t3205)) % 1.23/1.50 (define @t3209 () (forall @t3207 @t3204)) % 1.23/1.50 (define @t3210 () (or @t1597 @t3209)) % 1.23/1.50 (define @t3211 () (tptp.setminus @t695 @t1129)) % 1.23/1.50 (define @t3212 () (tptp.in @t3211 @t1594)) % 1.23/1.50 (define @t3213 () (forall @t1134 (or @t2804 @t3212))) % 1.23/1.50 (define @t3214 () (or @t2806 @t3213)) % 1.23/1.50 (define @t3215 () (or @t2809 @t1153)) % 1.23/1.50 (define @t3216 () (=> tptp.setminusT_lem @t3203)) % 1.23/1.50 (define @t3217 () (or @t2806 @t1149)) % 1.23/1.50 (define @t3218 () (=> tptp.powersetT_lem @t3216)) % 1.23/1.50 (define @t3219 () (or @t1760 @t1759)) % 1.23/1.50 (define @t3220 () (or @t1597 @t3219)) % 1.23/1.50 (define @t3221 () (forall @t1762 @t3220)) % 1.23/1.50 (define @t3222 () (@list @t1758)) % 1.23/1.50 (define @t3223 () (forall @t3222 @t3220)) % 1.23/1.50 (define @t3224 () (forall @t3222 @t3219)) % 1.23/1.50 (define @t3225 () (or @t1597 @t3224)) % 1.23/1.50 (define @t3226 () (tptp.binunion @t695 @t1129)) % 1.23/1.50 (define @t3227 () (tptp.in @t3226 @t1594)) % 1.23/1.50 (define @t3228 () (forall @t1134 (or @t2804 @t3227))) % 1.23/1.50 (define @t3229 () (or @t2806 @t3228)) % 1.23/1.50 (define @t3230 () (or @t2809 @t1142)) % 1.23/1.50 (define @t3231 () (=> tptp.binunionT_lem @t3218)) % 1.23/1.50 (define @t3232 () (or @t1765 @t1764)) % 1.23/1.50 (define @t3233 () (or @t1597 @t3232)) % 1.23/1.50 (define @t3234 () (forall @t1767 @t3233)) % 1.23/1.50 (define @t3235 () (@list @t1763)) % 1.23/1.50 (define @t3236 () (forall @t3235 @t3233)) % 1.23/1.50 (define @t3237 () (forall @t3235 @t3232)) % 1.23/1.50 (define @t3238 () (or @t1597 @t3237)) % 1.23/1.50 (define @t3239 () (tptp.in @t2850 @t1594)) % 1.23/1.50 (define @t3240 () (forall @t1134 (or @t2804 @t3239))) % 1.23/1.50 (define @t3241 () (or @t2806 @t3240)) % 1.23/1.50 (define @t3242 () (or @t2809 @t1131)) % 1.23/1.50 (define @t3243 () (=> tptp.binintersectT_lem @t3231)) % 1.23/1.50 (define @t3244 () (or @t1770 @t1769)) % 1.23/1.50 (define @t3245 () (or @t1730 @t3244)) % 1.23/1.50 (define @t3246 () (forall @t1772 @t3245)) % 1.23/1.50 (define @t3247 () (@list @t1768)) % 1.23/1.50 (define @t3248 () (forall @t3247 @t3245)) % 1.23/1.50 (define @t3249 () (forall @t3247 @t3244)) % 1.23/1.50 (define @t3250 () (@list @t19)) % 1.23/1.50 (define @t3251 () (or @t1730 @t3249)) % 1.23/1.50 (define @t3252 () (tptp.if @t2 @t173 @t4 @t19)) % 1.23/1.50 (define @t3253 () (tptp.in @t3252 @t2054)) % 1.23/1.50 (define @t3254 () (forall @t70 (or @t2105 @t3253))) % 1.23/1.50 (define @t3255 () (or @t197 @t3254)) % 1.23/1.50 (define @t3256 () (_ tptp.in @t3252)) % 1.23/1.50 (define @t3257 () (not @t21)) % 1.23/1.50 (define @t3258 () (or @t3257 @t1124)) % 1.23/1.50 (define @t3259 () (=> tptp.iftrueorfalse @t3243)) % 1.23/1.50 (define @t3260 () (or @t1730 false @t1775 @t1774)) % 1.23/1.50 (define @t3261 () (= @t1773 (tptp.if @t2 @t173 @t4 @t1773))) % 1.23/1.50 (define @t3262 () (not (= @t173 false))) % 1.23/1.50 (define @t3263 () (not @t1061)) % 1.23/1.50 (define @t3264 () (or @t173 @t1730 @t173 @t1775 @t3261)) % 1.23/1.50 (define @t3265 () (or @t1730 @t173 @t1775 @t3261)) % 1.23/1.50 (define @t3266 () (forall @t179 @t3265)) % 1.23/1.50 (define @t3267 () (forall @t1777 @t3266)) % 1.23/1.50 (define @t3268 () (forall (@list @t2 @t4 @t1773 @t173) @t3265)) % 1.23/1.50 (define @t3269 () (@list @t2 @t173 @t4 @t1773)) % 1.23/1.50 (define @t3270 () (or @t1775 @t3261)) % 1.23/1.50 (define @t3271 () (or @t1730 @t173 @t3270)) % 1.23/1.50 (define @t3272 () (forall @t3269 @t3271)) % 1.23/1.50 (define @t3273 () (@list @t1773)) % 1.23/1.50 (define @t3274 () (forall @t3273 @t3271)) % 1.23/1.50 (define @t3275 () (forall @t3273 @t3270)) % 1.23/1.50 (define @t3276 () (or @t1730 @t173 @t3275)) % 1.23/1.50 (define @t3277 () (forall @t70 (or @t2105 (= @t19 @t3252)))) % 1.23/1.50 (define @t3278 () (or @t197 @t173 @t3277)) % 1.23/1.50 (define @t3279 () (or @t173 @t3277)) % 1.23/1.50 (define @t3280 () (= @t19 @t1100)) % 1.23/1.50 (define @t3281 () (or @t3257 @t3280)) % 1.23/1.50 (define @t3282 () (forall @t70 @t3281)) % 1.23/1.50 (define @t3283 () (or @t173 @t3282)) % 1.23/1.50 (define @t3284 () (or @t173 @t3281)) % 1.23/1.50 (define @t3285 () (or @t3257 @t173 @t3280)) % 1.23/1.50 (define @t3286 () (=> @t1061 @t3280)) % 1.23/1.50 (define @t3287 () (=> tptp.iffalse @t3259)) % 1.23/1.50 (define @t3288 () (not true)) % 1.23/1.50 (define @t3289 () (or @t1730 @t3288 @t1780 @t1779)) % 1.23/1.50 (define @t3290 () (= @t4 (tptp.if @t2 @t173 @t4 @t1778))) % 1.23/1.50 (define @t3291 () (not (= @t173 true))) % 1.23/1.50 (define @t3292 () (or @t1061 @t1730 @t1061 @t1780 @t3290)) % 1.23/1.50 (define @t3293 () (or @t1730 @t1061 @t1780 @t3290)) % 1.23/1.50 (define @t3294 () (forall @t179 @t3293)) % 1.23/1.50 (define @t3295 () (forall @t1782 @t3294)) % 1.23/1.50 (define @t3296 () (forall (@list @t2 @t4 @t1778 @t173) @t3293)) % 1.23/1.50 (define @t3297 () (@list @t2 @t173 @t4 @t1778)) % 1.23/1.50 (define @t3298 () (or @t1780 @t3290)) % 1.23/1.50 (define @t3299 () (or @t1730 @t1061 @t3298)) % 1.23/1.50 (define @t3300 () (forall @t3297 @t3299)) % 1.23/1.50 (define @t3301 () (@list @t1778)) % 1.23/1.50 (define @t3302 () (forall @t3301 @t3299)) % 1.23/1.50 (define @t3303 () (forall @t3301 @t3298)) % 1.23/1.50 (define @t3304 () (or @t1730 @t1061 @t3303)) % 1.23/1.50 (define @t3305 () (forall @t70 (or @t2105 (= @t4 @t3252)))) % 1.23/1.50 (define @t3306 () (or @t197 @t1061 @t3305)) % 1.23/1.50 (define @t3307 () (or @t1061 @t3305)) % 1.23/1.50 (define @t3308 () (= @t4 @t1100)) % 1.23/1.50 (define @t3309 () (or @t3257 @t3308)) % 1.23/1.50 (define @t3310 () (forall @t70 @t3309)) % 1.23/1.50 (define @t3311 () (or @t1061 @t3310)) % 1.23/1.50 (define @t3312 () (or @t1061 @t3309)) % 1.23/1.50 (define @t3313 () (or @t3257 @t1061 @t3308)) % 1.23/1.50 (define @t3314 () (=> @t173 @t3308)) % 1.23/1.50 (define @t3315 () (=> tptp.iftrue @t3287)) % 1.23/1.50 (define @t3316 () (= @t1783 @t1784)) % 1.23/1.50 (define @t3317 () (or @t1787 @t1785 @t3316)) % 1.23/1.50 (define @t3318 () (or @t1785 @t3316)) % 1.23/1.50 (define @t3319 () (or @t1787 @t3318)) % 1.23/1.50 (define @t3320 () (forall @t1788 @t3319)) % 1.23/1.50 (define @t3321 () (@list @t1783)) % 1.23/1.50 (define @t3322 () (forall @t3321 @t3319)) % 1.23/1.50 (define @t3323 () (forall @t3321 @t3318)) % 1.23/1.50 (define @t3324 () (or @t1787 @t3323)) % 1.23/1.50 (define @t3325 () (forall @t9 (or @t1728 (= @t4 @t1784)))) % 1.23/1.50 (define @t3326 () (not @t761)) % 1.23/1.50 (define @t3327 () (or @t3326 @t3325)) % 1.23/1.50 (define @t3328 () (= @t4 @t759)) % 1.23/1.50 (define @t3329 () (or @t1213 @t3328)) % 1.23/1.50 (define @t3330 () (=> tptp.theeq @t3315)) % 1.23/1.50 (define @t3331 () (or @t1791 @t1790)) % 1.23/1.50 (define @t3332 () (or @t1730 @t3331)) % 1.23/1.50 (define @t3333 () (forall @t1793 @t3332)) % 1.23/1.50 (define @t3334 () (@list @t1789)) % 1.23/1.50 (define @t3335 () (forall @t3334 @t3332)) % 1.23/1.50 (define @t3336 () (forall @t3334 @t3331)) % 1.23/1.50 (define @t3337 () (or @t1730 @t3336)) % 1.23/1.50 (define @t3338 () (tptp.in @t3252 @t2)) % 1.23/1.50 (define @t3339 () (forall @t70 (or @t2105 @t3338))) % 1.23/1.50 (define @t3340 () (or @t197 @t3339)) % 1.23/1.50 (define @t3341 () (or @t3257 @t1102)) % 1.23/1.50 (define @t3342 () (=> tptp.ifp @t3330)) % 1.23/1.50 (define @t3343 () (and @t1061 (= @t1794 @t289))) % 1.23/1.50 (define @t3344 () (or @t1795 @t3343)) % 1.23/1.50 (define @t3345 () (lambda @t1065 @t3344)) % 1.23/1.50 (define @t3346 () (tptp.dsetconstr @t2 @t3345)) % 1.23/1.50 (define @t3347 () (tptp.singleton @t3346)) % 1.23/1.50 (define @t3348 () (or @t1730 @t1796 @t3347)) % 1.23/1.50 (define @t3349 () (or @t1796 @t3347)) % 1.23/1.50 (define @t3350 () (or @t1730 @t3349)) % 1.23/1.50 (define @t3351 () (forall @t1797 @t3350)) % 1.23/1.50 (define @t3352 () (@list @t1794)) % 1.23/1.50 (define @t3353 () (forall @t3352 @t3350)) % 1.23/1.50 (define @t3354 () (forall @t3352 @t3349)) % 1.23/1.50 (define @t3355 () (or @t1730 @t3354)) % 1.23/1.50 (define @t3356 () (lambda @t1065 (or @t1795 (and @t1061 @t2173)))) % 1.23/1.50 (define @t3357 () (tptp.dsetconstr @t2 @t3356)) % 1.23/1.50 (define @t3358 () (tptp.singleton @t3357)) % 1.23/1.50 (define @t3359 () (forall @t70 (or @t2105 @t3358))) % 1.23/1.50 (define @t3360 () (or @t197 @t3359)) % 1.23/1.50 (define @t3361 () (_ @t155 @t3356)) % 1.23/1.50 (define @t3362 () (_ tptp.singleton @t3361)) % 1.31/1.50 (define @t3363 () (or @t3257 @t3362)) % 1.31/1.50 (define @t3364 () (=> tptp.ifSingleton @t3342)) % 1.31/1.50 (define @t3365 () (= @t289 @t1801)) % 1.31/1.50 (define @t3366 () (and @t3288 @t3365)) % 1.31/1.50 (define @t3367 () (and true @t744)) % 1.31/1.50 (define @t3368 () (or @t3367 @t3366)) % 1.31/1.50 (define @t3369 () (lambda @t1065 @t3368)) % 1.31/1.50 (define @t3370 () (tptp.dsetconstr @t2 @t3369)) % 1.31/1.50 (define @t3371 () (= @t1799 @t3370)) % 1.31/1.50 (define @t3372 () (or @t1730 @t3288 @t1802 @t3371)) % 1.31/1.50 (define @t3373 () (= @t1799 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1795 (and @t1061 @t3365)))))) % 1.31/1.50 (define @t3374 () (or @t1061 @t1730 @t1061 @t1802 @t3373)) % 1.31/1.50 (define @t3375 () (or @t1730 @t1061 @t1802 @t3373)) % 1.31/1.50 (define @t3376 () (forall @t179 @t3375)) % 1.31/1.50 (define @t3377 () (forall @t1804 @t3376)) % 1.31/1.50 (define @t3378 () (forall (@list @t2 @t4 @t1801 @t173) @t3375)) % 1.31/1.50 (define @t3379 () (@list @t2 @t173 @t4 @t1801)) % 1.31/1.50 (define @t3380 () (and @t1061 (= @t1801 @t289))) % 1.31/1.50 (define @t3381 () (or @t1795 @t3380)) % 1.31/1.50 (define @t3382 () (lambda @t1065 @t3381)) % 1.31/1.50 (define @t3383 () (tptp.dsetconstr @t2 @t3382)) % 1.31/1.50 (define @t3384 () (= @t1799 @t3383)) % 1.31/1.50 (define @t3385 () (or @t1730 @t1061 @t1802 @t3384)) % 1.31/1.50 (define @t3386 () (or @t1802 @t3384)) % 1.31/1.50 (define @t3387 () (or @t1730 @t1061 @t3386)) % 1.31/1.50 (define @t3388 () (forall @t3379 @t3387)) % 1.31/1.50 (define @t3389 () (@list @t1801)) % 1.31/1.50 (define @t3390 () (forall @t3389 @t3387)) % 1.31/1.50 (define @t3391 () (forall @t3389 @t3386)) % 1.31/1.50 (define @t3392 () (or @t1730 @t1061 @t3391)) % 1.31/1.50 (define @t3393 () (forall @t70 (or @t2105 (= @t1799 @t3357)))) % 1.31/1.50 (define @t3394 () (or @t197 @t1061 @t3393)) % 1.31/1.50 (define @t3395 () (or @t1061 @t3393)) % 1.31/1.50 (define @t3396 () (= @t279 @t3361)) % 1.31/1.50 (define @t3397 () (or @t3257 @t3396)) % 1.31/1.50 (define @t3398 () (forall @t70 @t3397)) % 1.31/1.50 (define @t3399 () (or @t1061 @t3398)) % 1.31/1.50 (define @t3400 () (or @t1061 @t3397)) % 1.31/1.50 (define @t3401 () (or @t3257 @t1061 @t3396)) % 1.31/1.50 (define @t3402 () (=> @t173 @t3396)) % 1.31/1.50 (define @t3403 () (=> tptp.iftrueProp2 @t3364)) % 1.31/1.50 (define @t3404 () (= @t289 @t1806)) % 1.31/1.50 (define @t3405 () (and @t3288 @t3404)) % 1.31/1.50 (define @t3406 () (or @t3367 @t3405)) % 1.31/1.50 (define @t3407 () (lambda @t1065 @t3406)) % 1.31/1.50 (define @t3408 () (tptp.dsetconstr @t2 @t3407)) % 1.31/1.50 (define @t3409 () (tptp.in @t4 @t3408)) % 1.31/1.50 (define @t3410 () (or @t1730 @t3288 @t1807 @t3409)) % 1.31/1.50 (define @t3411 () (tptp.in @t4 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1795 (and @t1061 @t3404)))))) % 1.31/1.50 (define @t3412 () (or @t1061 @t1730 @t1061 @t1807 @t3411)) % 1.31/1.50 (define @t3413 () (or @t1730 @t1061 @t1807 @t3411)) % 1.31/1.50 (define @t3414 () (forall @t179 @t3413)) % 1.31/1.50 (define @t3415 () (forall @t1809 @t3414)) % 1.31/1.50 (define @t3416 () (forall (@list @t2 @t4 @t1806 @t173) @t3413)) % 1.31/1.50 (define @t3417 () (@list @t2 @t173 @t4 @t1806)) % 1.31/1.50 (define @t3418 () (and @t1061 (= @t1806 @t289))) % 1.31/1.50 (define @t3419 () (or @t1795 @t3418)) % 1.31/1.50 (define @t3420 () (lambda @t1065 @t3419)) % 1.31/1.50 (define @t3421 () (tptp.dsetconstr @t2 @t3420)) % 1.31/1.50 (define @t3422 () (tptp.in @t4 @t3421)) % 1.31/1.50 (define @t3423 () (or @t1730 @t1061 @t1807 @t3422)) % 1.31/1.50 (define @t3424 () (or @t1807 @t3422)) % 1.31/1.50 (define @t3425 () (or @t1730 @t1061 @t3424)) % 1.31/1.50 (define @t3426 () (forall @t3417 @t3425)) % 1.31/1.50 (define @t3427 () (@list @t1806)) % 1.31/1.50 (define @t3428 () (forall @t3427 @t3425)) % 1.31/1.50 (define @t3429 () (forall @t3427 @t3424)) % 1.31/1.50 (define @t3430 () (or @t1730 @t1061 @t3429)) % 1.31/1.50 (define @t3431 () (tptp.in @t4 @t3357)) % 1.31/1.50 (define @t3432 () (forall @t70 (or @t2105 @t3431))) % 1.31/1.50 (define @t3433 () (or @t197 @t1061 @t3432)) % 1.31/1.50 (define @t3434 () (or @t1061 @t3432)) % 1.31/1.50 (define @t3435 () (_ @t5 @t3361)) % 1.31/1.50 (define @t3436 () (or @t3257 @t3435)) % 1.31/1.50 (define @t3437 () (forall @t70 @t3436)) % 1.31/1.50 (define @t3438 () (or @t1061 @t3437)) % 1.31/1.50 (define @t3439 () (or @t1061 @t3436)) % 1.31/1.50 (define @t3440 () (or @t3257 @t1061 @t3435)) % 1.31/1.50 (define @t3441 () (=> @t173 @t3435)) % 1.31/1.50 (define @t3442 () (=> tptp.iftrueProp1 @t3403)) % 1.31/1.50 (define @t3443 () (not false)) % 1.31/1.50 (define @t3444 () (and @t3443 @t1811)) % 1.31/1.50 (define @t3445 () (and false @t744)) % 1.31/1.50 (define @t3446 () (or @t3445 @t3444)) % 1.31/1.50 (define @t3447 () (lambda @t1065 @t3446)) % 1.31/1.50 (define @t3448 () (tptp.dsetconstr @t2 @t3447)) % 1.31/1.50 (define @t3449 () (= @t1812 @t3448)) % 1.31/1.50 (define @t3450 () (or @t1730 @t1813 @t3449)) % 1.31/1.50 (define @t3451 () (or @t1730 false @t1813 @t3449)) % 1.31/1.50 (define @t3452 () (= @t1812 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1795 (and @t1061 @t1811)))))) % 1.31/1.50 (define @t3453 () (or @t173 @t1730 @t173 @t1813 @t3452)) % 1.31/1.50 (define @t3454 () (or @t1730 @t173 @t1813 @t3452)) % 1.31/1.50 (define @t3455 () (forall @t179 @t3454)) % 1.31/1.50 (define @t3456 () (forall @t1814 @t3455)) % 1.31/1.50 (define @t3457 () (forall (@list @t2 @t4 @t1810 @t173) @t3454)) % 1.31/1.50 (define @t3458 () (@list @t2 @t173 @t4 @t1810)) % 1.31/1.50 (define @t3459 () (and @t1061 (= @t1810 @t289))) % 1.31/1.50 (define @t3460 () (or @t1795 @t3459)) % 1.31/1.50 (define @t3461 () (lambda @t1065 @t3460)) % 1.31/1.50 (define @t3462 () (tptp.dsetconstr @t2 @t3461)) % 1.31/1.50 (define @t3463 () (= @t1812 @t3462)) % 1.31/1.50 (define @t3464 () (or @t1730 @t173 @t1813 @t3463)) % 1.31/1.50 (define @t3465 () (or @t1813 @t3463)) % 1.31/1.50 (define @t3466 () (or @t1730 @t173 @t3465)) % 1.31/1.50 (define @t3467 () (forall @t3458 @t3466)) % 1.31/1.50 (define @t3468 () (@list @t1810)) % 1.31/1.50 (define @t3469 () (forall @t3468 @t3466)) % 1.31/1.50 (define @t3470 () (forall @t3468 @t3465)) % 1.31/1.50 (define @t3471 () (or @t1730 @t173 @t3470)) % 1.31/1.50 (define @t3472 () (forall @t70 (or @t2105 (= @t2053 @t3357)))) % 1.31/1.50 (define @t3473 () (or @t197 @t173 @t3472)) % 1.31/1.50 (define @t3474 () (or @t173 @t3472)) % 1.31/1.50 (define @t3475 () (= @t275 @t3361)) % 1.31/1.50 (define @t3476 () (or @t3257 @t3475)) % 1.31/1.50 (define @t3477 () (forall @t70 @t3476)) % 1.31/1.50 (define @t3478 () (or @t173 @t3477)) % 1.31/1.50 (define @t3479 () (or @t173 @t3476)) % 1.31/1.50 (define @t3480 () (or @t3257 @t173 @t3475)) % 1.31/1.50 (define @t3481 () (=> @t1061 @t3475)) % 1.31/1.50 (define @t3482 () (=> tptp.iffalseProp2 @t3442)) % 1.31/1.50 (define @t3483 () (and @t3443 @t1816)) % 1.31/1.50 (define @t3484 () (or @t3445 @t3483)) % 1.31/1.50 (define @t3485 () (lambda @t1065 @t3484)) % 1.31/1.50 (define @t3486 () (tptp.dsetconstr @t2 @t3485)) % 1.31/1.50 (define @t3487 () (tptp.in @t1815 @t3486)) % 1.31/1.50 (define @t3488 () (or @t1730 @t1817 @t3487)) % 1.31/1.50 (define @t3489 () (or @t1730 false @t1817 @t3487)) % 1.31/1.50 (define @t3490 () (tptp.in @t1815 (tptp.dsetconstr @t2 (lambda @t1065 (or @t1795 (and @t1061 @t1816)))))) % 1.31/1.50 (define @t3491 () (or @t173 @t1730 @t173 @t1817 @t3490)) % 1.31/1.50 (define @t3492 () (or @t1730 @t173 @t1817 @t3490)) % 1.31/1.50 (define @t3493 () (forall @t179 @t3492)) % 1.31/1.50 (define @t3494 () (forall @t1818 @t3493)) % 1.31/1.50 (define @t3495 () (forall (@list @t2 @t4 @t1815 @t173) @t3492)) % 1.31/1.50 (define @t3496 () (@list @t2 @t173 @t4 @t1815)) % 1.31/1.50 (define @t3497 () (and @t1061 (= @t1815 @t289))) % 1.31/1.50 (define @t3498 () (or @t1795 @t3497)) % 1.31/1.50 (define @t3499 () (lambda @t1065 @t3498)) % 1.31/1.50 (define @t3500 () (tptp.dsetconstr @t2 @t3499)) % 1.31/1.50 (define @t3501 () (tptp.in @t1815 @t3500)) % 1.31/1.50 (define @t3502 () (or @t1730 @t173 @t1817 @t3501)) % 1.31/1.50 (define @t3503 () (or @t1817 @t3501)) % 1.31/1.50 (define @t3504 () (or @t1730 @t173 @t3503)) % 1.31/1.50 (define @t3505 () (forall @t3496 @t3504)) % 1.31/1.50 (define @t3506 () (@list @t1815)) % 1.31/1.50 (define @t3507 () (forall @t3506 @t3504)) % 1.31/1.50 (define @t3508 () (forall @t3506 @t3503)) % 1.31/1.50 (define @t3509 () (or @t1730 @t173 @t3508)) % 1.31/1.50 (define @t3510 () (tptp.in @t19 @t3357)) % 1.31/1.50 (define @t3511 () (forall @t70 (or @t2105 @t3510))) % 1.31/1.50 (define @t3512 () (or @t197 @t173 @t3511)) % 1.31/1.50 (define @t3513 () (or @t173 @t3511)) % 1.31/1.50 (define @t3514 () (_ @t20 @t3361)) % 1.31/1.50 (define @t3515 () (or @t3257 @t3514)) % 1.31/1.50 (define @t3516 () (forall @t70 @t3515)) % 1.31/1.50 (define @t3517 () (or @t173 @t3516)) % 1.31/1.50 (define @t3518 () (or @t173 @t3515)) % 1.31/1.50 (define @t3519 () (or @t3257 @t173 @t3514)) % 1.31/1.50 (define @t3520 () (=> @t1061 @t3514)) % 1.31/1.50 (define @t3521 () (=> tptp.iffalseProp1 @t3482)) % 1.31/1.50 (define @t3522 () (= @t878 @t1050)) % 1.31/1.50 (define @t3523 () (not @t905)) % 1.31/1.50 (define @t3524 () (or @t3523 @t3522)) % 1.31/1.50 (define @t3525 () (=> tptp.eta2 @t3521)) % 1.31/1.50 (define @t3526 () (or @t1829 @t1828)) % 1.31/1.50 (define @t3527 () (or @t1833 @t3526)) % 1.31/1.50 (define @t3528 () (forall @t1835 @t3527)) % 1.31/1.50 (define @t3529 () (@list @t1826)) % 1.31/1.50 (define @t3530 () (forall @t3529 @t3527)) % 1.31/1.50 (define @t3531 () (forall @t3529 @t3526)) % 1.31/1.50 (define @t3532 () (or @t1833 @t3531)) % 1.31/1.50 (define @t3533 () (forall @t9 (or @t1730 (= @t1830 (tptp.ap @t2 @t1 @t1827 @t4))))) % 1.31/1.50 (define @t3534 () (_ @t913 @t19)) % 1.31/1.50 (define @t3535 () (lambda @t70 @t3534)) % 1.31/1.50 (define @t3536 () (tptp.lam @t2 @t1 @t3535)) % 1.31/1.50 (define @t3537 () (tptp.ap @t2 @t1 @t3536 @t4)) % 1.31/1.50 (define @t3538 () (= @t1830 @t3537)) % 1.31/1.50 (define @t3539 () (or @t1730 @t3538)) % 1.31/1.50 (define @t3540 () (= @t914 @t1043)) % 1.31/1.50 (define @t3541 () (or @t197 @t3540)) % 1.31/1.50 (define @t3542 () (or @t197 @t916)) % 1.31/1.50 (define @t3543 () (=> tptp.beta2 @t3525)) % 1.31/1.50 (define @t3544 () (=> tptp.lam2lamEq @t3543)) % 1.31/1.50 (define @t3545 () (not @t885)) % 1.31/1.50 (define @t3546 () (or @t3545 @t3522)) % 1.31/1.50 (define @t3547 () (=> tptp.eta1 @t3544)) % 1.31/1.50 (define @t3548 () (=> tptp.beta1 @t3547)) % 1.31/1.50 (define @t3549 () (=> tptp.ap2apEq2 @t3548)) % 1.31/1.50 (define @t3550 () (=> tptp.ap2apEq1 @t3549)) % 1.31/1.50 (define @t3551 () (or @t1844 @t1843 @t1842)) % 1.31/1.50 (define @t3552 () (or @t1825 @t3551)) % 1.31/1.50 (define @t3553 () (forall @t1846 @t3552)) % 1.31/1.50 (define @t3554 () (@list @t1841)) % 1.31/1.50 (define @t3555 () (forall @t3554 @t3552)) % 1.31/1.50 (define @t3556 () (forall @t3554 @t3551)) % 1.31/1.50 (define @t3557 () (@list @t970)) % 1.31/1.50 (define @t3558 () (or @t1825 @t3556)) % 1.31/1.50 (define @t3559 () (tptp.ap @t2 @t1 @t970 @t4)) % 1.31/1.50 (define @t3560 () (forall @t9 (or @t1730 (= @t1819 @t3559)))) % 1.31/1.50 (define @t3561 () (not @t3560)) % 1.31/1.50 (define @t3562 () (tptp.in @t970 @t1823)) % 1.31/1.50 (define @t3563 () (forall @t982 (or (not @t3562) @t3561 @t1018))) % 1.31/1.50 (define @t3564 () (or @t3523 @t3563)) % 1.31/1.50 (define @t3565 () (not @t1026)) % 1.31/1.50 (define @t3566 () (or @t3565 @t3561 @t1018)) % 1.31/1.50 (define @t3567 () (or @t3561 @t1018)) % 1.31/1.50 (define @t3568 () (=> @t3560 @t1018)) % 1.31/1.50 (define @t3569 () (or @t197 @t977)) % 1.31/1.50 (define @t3570 () (=> tptp.funcext2 @t3550)) % 1.31/1.50 (define @t3571 () (or @t1851 @t1850 @t1849)) % 1.31/1.50 (define @t3572 () (or @t1839 @t3571)) % 1.31/1.50 (define @t3573 () (forall @t1853 @t3572)) % 1.31/1.50 (define @t3574 () (@list @t1848)) % 1.31/1.50 (define @t3575 () (forall @t3574 @t3572)) % 1.31/1.50 (define @t3576 () (forall @t3574 @t3571)) % 1.31/1.50 (define @t3577 () (or @t1839 @t3576)) % 1.31/1.50 (define @t3578 () (tptp.func @t2 @t1 @t970)) % 1.31/1.50 (define @t3579 () (not @t3578)) % 1.31/1.50 (define @t3580 () (forall @t982 (or @t3579 @t3561 @t1018))) % 1.31/1.50 (define @t3581 () (or @t3545 @t3580)) % 1.31/1.50 (define @t3582 () (not @t980)) % 1.31/1.50 (define @t3583 () (or @t3582 @t3561 @t1018)) % 1.31/1.50 (define @t3584 () (=> tptp.funcext @t3570)) % 1.31/1.50 (define @t3585 () (or @t1870 @t1868 @t1862 @t1856)) % 1.31/1.50 (define @t3586 () (or @t1872 @t3585)) % 1.31/1.50 (define @t3587 () (forall @t1874 @t3586)) % 1.31/1.50 (define @t3588 () (@list @t1855)) % 1.31/1.50 (define @t3589 () (forall @t3588 @t3586)) % 1.31/1.50 (define @t3590 () (forall @t3588 @t3585)) % 1.31/1.50 (define @t3591 () (@list @t990)) % 1.31/1.50 (define @t3592 () (or @t1872 @t3590)) % 1.31/1.50 (define @t3593 () (not (tptp.in @t1858 @t990))) % 1.31/1.50 (define @t3594 () (or @t1730 @t1860 @t3593 @t1859)) % 1.31/1.50 (define @t3595 () (forall @t1861 @t3594)) % 1.31/1.50 (define @t3596 () (not @t3595)) % 1.31/1.50 (define @t3597 () (tptp.in @t1864 @t990)) % 1.31/1.50 (define @t3598 () (or @t1730 @t1866 @t1865 @t3597)) % 1.31/1.50 (define @t3599 () (forall @t1867 @t3598)) % 1.31/1.50 (define @t3600 () (not @t3599)) % 1.31/1.50 (define @t3601 () (tptp.subset @t990 @t1869)) % 1.31/1.50 (define @t3602 () (not @t3601)) % 1.31/1.50 (define @t3603 () (forall @t1001 (or @t3602 @t3600 @t3596 @t1006))) % 1.31/1.50 (define @t3604 () (_ @t991 @t675)) % 1.31/1.50 (define @t3605 () (not @t3604)) % 1.31/1.50 (define @t3606 () (or @t3605 @t3603)) % 1.31/1.50 (define @t3607 () (_ tptp.subset @t990)) % 1.31/1.50 (define @t3608 () (_ @t3607 @t675)) % 1.31/1.50 (define @t3609 () (not @t3608)) % 1.31/1.50 (define @t3610 () (or @t3609 @t3600 @t3596 @t1006)) % 1.31/1.50 (define @t3611 () (or @t3600 @t3596 @t1006)) % 1.31/1.50 (define @t3612 () (=> @t3595 @t1006)) % 1.31/1.50 (define @t3613 () (=> @t3599 @t3612)) % 1.31/1.50 (define @t3614 () (or @t1860 @t3593 @t1859)) % 1.31/1.50 (define @t3615 () (or @t1730 @t3614)) % 1.31/1.50 (define @t3616 () (forall @t1861 @t3615)) % 1.31/1.50 (define @t3617 () (@list @t1857)) % 1.31/1.50 (define @t3618 () (forall @t3617 @t3615)) % 1.31/1.50 (define @t3619 () (forall @t3617 @t3614)) % 1.31/1.50 (define @t3620 () (or @t1730 @t3619)) % 1.31/1.50 (define @t3621 () (tptp.in @t1985 @t933)) % 1.31/1.50 (define @t3622 () (tptp.in @t1985 @t990)) % 1.31/1.50 (define @t3623 () (not @t1989)) % 1.31/1.50 (define @t3624 () (forall @t70 (or @t3623 (not @t3622) @t3621))) % 1.31/1.50 (define @t3625 () (or @t197 @t3624)) % 1.31/1.50 (define @t3626 () (_ tptp.in @t1985)) % 1.31/1.50 (define @t3627 () (not @t993)) % 1.31/1.50 (define @t3628 () (not @t354)) % 1.31/1.50 (define @t3629 () (or @t3628 @t3627 @t937)) % 1.31/1.50 (define @t3630 () (or @t1866 @t1865 @t3597)) % 1.31/1.50 (define @t3631 () (or @t1730 @t3630)) % 1.31/1.50 (define @t3632 () (forall @t1867 @t3631)) % 1.31/1.50 (define @t3633 () (@list @t1863)) % 1.31/1.50 (define @t3634 () (forall @t3633 @t3631)) % 1.31/1.50 (define @t3635 () (forall @t3633 @t3630)) % 1.31/1.50 (define @t3636 () (or @t1730 @t3635)) % 1.31/1.50 (define @t3637 () (not @t3621)) % 1.31/1.50 (define @t3638 () (forall @t70 (or @t3623 @t3637 @t3622))) % 1.31/1.50 (define @t3639 () (or @t197 @t3638)) % 1.31/1.50 (define @t3640 () (not @t937)) % 1.31/1.50 (define @t3641 () (or @t3628 @t3640 @t993)) % 1.31/1.50 (define @t3642 () (lambda @t118 @t1587)) % 1.31/1.50 (define @t3643 () (lambda (@list @t1 @t104) @t1587)) % 1.31/1.50 (define @t3644 () (_ @t1588 @t2)) % 1.31/1.50 (define @t3645 () (_ @t3644 @t1)) % 1.31/1.50 (define @t3646 () (_ @t3645 @t990)) % 1.31/1.50 (define @t3647 () (=> @t3646 @t1012)) % 1.31/1.50 (define @t3648 () (forall @t1001 @t3647)) % 1.31/1.50 (define @t3649 () (_ @t3645 @t933)) % 1.31/1.50 (define @t3650 () (=> @t3649 @t3648)) % 1.31/1.50 (define @t3651 () (forall @t946 @t3650)) % 1.31/1.50 (define @t3652 () (=> tptp.eqbreln @t3584)) % 1.31/1.50 (define @t3653 () (or @t1879 @t1878 @t1877)) % 1.31/1.50 (define @t3654 () (or @t1872 @t3653)) % 1.31/1.50 (define @t3655 () (forall @t1881 @t3654)) % 1.31/1.50 (define @t3656 () (@list @t1876)) % 1.31/1.50 (define @t3657 () (forall @t3656 @t3654)) % 1.31/1.50 (define @t3658 () (forall @t3656 @t3653)) % 1.31/1.50 (define @t3659 () (or @t1872 @t3658)) % 1.31/1.50 (define @t3660 () (tptp.subset @t933 @t990)) % 1.31/1.50 (define @t3661 () (forall @t1001 (or @t3602 @t3600 @t3660))) % 1.31/1.50 (define @t3662 () (or @t3605 @t3661)) % 1.31/1.50 (define @t3663 () (or @t3609 @t3600 @t992)) % 1.31/1.50 (define @t3664 () (=> @t3599 @t992)) % 1.31/1.50 (define @t3665 () (=> @t3646 @t998)) % 1.31/1.50 (define @t3666 () (forall @t1001 @t3665)) % 1.31/1.50 (define @t3667 () (=> @t3649 @t3666)) % 1.31/1.50 (define @t3668 () (forall @t946 @t3667)) % 1.31/1.50 (define @t3669 () (=> tptp.subbreln @t3652)) % 1.31/1.50 (define @t3670 () (= @t1884 @t1885)) % 1.31/1.50 (define @t3671 () (or @t1825 @t1888 @t1887 @t1886 @t3670)) % 1.31/1.50 (define @t3672 () (or @t1888 @t1887 @t1886 @t3670)) % 1.31/1.50 (define @t3673 () (or @t1825 @t3672)) % 1.31/1.50 (define @t3674 () (forall @t1889 @t3673)) % 1.31/1.50 (define @t3675 () (@list @t1883 @t1885)) % 1.31/1.50 (define @t3676 () (forall @t3675 @t3673)) % 1.31/1.50 (define @t3677 () (forall @t3675 @t3672)) % 1.31/1.50 (define @t3678 () (@var "BOUND_VARIABLE_12741" $$unsorted)) % 1.31/1.50 (define @t3679 () (@list @t4 @t3678)) % 1.31/1.50 (define @t3680 () (or @t1825 @t3677)) % 1.31/1.50 (define @t3681 () (not (tptp.in (tptp.kpair @t4 @t3678) @t878))) % 1.31/1.50 (define @t3682 () (not (tptp.in @t3678 @t1))) % 1.31/1.50 (define @t3683 () (@list @t4 @t3678)) % 1.31/1.50 (define @t3684 () (forall @t3683 (or @t1730 @t3682 @t3681 (= @t1819 @t3678)))) % 1.31/1.50 (define @t3685 () (or @t3523 @t3684)) % 1.31/1.50 (define @t3686 () (= @t3678 @t1819)) % 1.31/1.50 (define @t3687 () (or @t1730 @t3682 @t3681 @t3686)) % 1.31/1.50 (define @t3688 () (or @t3682 @t3681 @t3686)) % 1.31/1.50 (define @t3689 () (or @t1730 @t3688)) % 1.31/1.50 (define @t3690 () (forall @t3683 @t3689)) % 1.31/1.50 (define @t3691 () (@list @t3678)) % 1.31/1.50 (define @t3692 () (forall @t3691 @t3689)) % 1.31/1.50 (define @t3693 () (forall @t3691 @t3688)) % 1.31/1.50 (define @t3694 () (or @t1730 @t3693)) % 1.31/1.50 (define @t3695 () (tptp.in @t1985 @t878)) % 1.31/1.50 (define @t3696 () (forall @t70 (or @t3623 (not @t3695) (= @t19 @t1819)))) % 1.31/1.50 (define @t3697 () (or @t197 @t3696)) % 1.31/1.50 (define @t3698 () (= @t19 @t897)) % 1.31/1.50 (define @t3699 () (not @t879)) % 1.31/1.50 (define @t3700 () (or @t3628 @t3699 @t3698)) % 1.31/1.50 (define @t3701 () (=> @t879 @t3698)) % 1.31/1.50 (define @t3702 () (=> tptp.funcGraphProp4 @t3669)) % 1.31/1.50 (define @t3703 () (or @t1900 @t1899 @t1898 @t1897 @t1896 @t1894)) % 1.31/1.50 (define @t3704 () (or @t1839 @t3703)) % 1.31/1.50 (define @t3705 () (forall @t1902 @t3704)) % 1.31/1.50 (define @t3706 () (@list @t1895 @t1892 @t1891)) % 1.31/1.50 (define @t3707 () (forall @t3706 @t3704)) % 1.31/1.50 (define @t3708 () (forall @t3706 @t3703)) % 1.31/1.50 (define @t3709 () (@var "BOUND_VARIABLE_12835" $$unsorted)) % 1.31/1.50 (define @t3710 () (@var "BOUND_VARIABLE_12833" $$unsorted)) % 1.31/1.50 (define @t3711 () (or @t1839 @t3708)) % 1.31/1.50 (define @t3712 () (tptp.kpair @t3710 @t3709)) % 1.31/1.50 (define @t3713 () (tptp.in @t3712 @t878)) % 1.31/1.50 (define @t3714 () (not (tptp.in @t3712 @t970))) % 1.31/1.50 (define @t3715 () (not (tptp.in @t3709 @t1))) % 1.31/1.50 (define @t3716 () (not (tptp.in @t3710 @t2))) % 1.31/1.50 (define @t3717 () (or @t3579 @t3561 @t3716 @t3715 @t3714 @t3713)) % 1.31/1.50 (define @t3718 () (@list @t970 @t3710 @t3709)) % 1.31/1.50 (define @t3719 () (forall @t3718 @t3717)) % 1.31/1.50 (define @t3720 () (or @t3545 @t3719)) % 1.31/1.50 (define @t3721 () (or @t3716 @t3715 @t3714 @t3713)) % 1.31/1.50 (define @t3722 () (or @t3579 @t3561 @t3721)) % 1.31/1.50 (define @t3723 () (forall @t3718 @t3722)) % 1.31/1.50 (define @t3724 () (@list @t3710 @t3709)) % 1.31/1.50 (define @t3725 () (forall @t3724 @t3722)) % 1.31/1.50 (define @t3726 () (forall @t3724 @t3721)) % 1.31/1.50 (define @t3727 () (@var "BOUND_VARIABLE_12807" $$unsorted)) % 1.31/1.50 (define @t3728 () (or @t3579 @t3561 @t3726)) % 1.31/1.50 (define @t3729 () (tptp.kpair @t4 @t3727)) % 1.31/1.50 (define @t3730 () (tptp.in @t3729 @t878)) % 1.31/1.50 (define @t3731 () (not (tptp.in @t3729 @t970))) % 1.31/1.50 (define @t3732 () (not (tptp.in @t3727 @t1))) % 1.31/1.50 (define @t3733 () (or @t1730 @t3732 @t3731 @t3730)) % 1.31/1.50 (define @t3734 () (@list @t4 @t3727)) % 1.31/1.50 (define @t3735 () (forall @t3734 @t3733)) % 1.31/1.50 (define @t3736 () (or @t3582 @t3561 @t3735)) % 1.31/1.50 (define @t3737 () (=> @t3560 @t3735)) % 1.31/1.50 (define @t3738 () (or @t3732 @t3731 @t3730)) % 1.31/1.50 (define @t3739 () (or @t1730 @t3738)) % 1.31/1.50 (define @t3740 () (forall @t3734 @t3739)) % 1.31/1.50 (define @t3741 () (@list @t3727)) % 1.31/1.50 (define @t3742 () (forall @t3741 @t3739)) % 1.31/1.50 (define @t3743 () (forall @t3741 @t3738)) % 1.31/1.50 (define @t3744 () (or @t1730 @t3743)) % 1.31/1.50 (define @t3745 () (tptp.in @t1985 @t970)) % 1.31/1.50 (define @t3746 () (forall @t70 (or @t3623 (not @t3745) @t3695))) % 1.31/1.50 (define @t3747 () (or @t197 @t3746)) % 1.31/1.50 (define @t3748 () (not @t971)) % 1.31/1.50 (define @t3749 () (or @t3628 @t3748 @t879)) % 1.31/1.50 (define @t3750 () (=> tptp.funcextLem @t3702)) % 1.31/1.50 (define @t3751 () (= @t1905 @t1906)) % 1.31/1.50 (define @t3752 () (or @t1839 @t1909 @t1908 @t1907 @t3751)) % 1.31/1.50 (define @t3753 () (or @t1909 @t1908 @t1907 @t3751)) % 1.31/1.50 (define @t3754 () (or @t1839 @t3753)) % 1.31/1.50 (define @t3755 () (forall @t1910 @t3754)) % 1.31/1.50 (define @t3756 () (@list @t1904 @t1906)) % 1.31/1.50 (define @t3757 () (forall @t3756 @t3754)) % 1.31/1.50 (define @t3758 () (forall @t3756 @t3753)) % 1.31/1.50 (define @t3759 () (or @t1839 @t3758)) % 1.31/1.50 (define @t3760 () (or @t3545 @t3684)) % 1.31/1.50 (define @t3761 () (=> tptp.funcGraphProp2 @t3750)) % 1.31/1.50 (define @t3762 () (or @t1914 @t1913)) % 1.31/1.50 (define @t3763 () (or @t1825 @t3762)) % 1.31/1.50 (define @t3764 () (forall @t1916 @t3763)) % 1.31/1.50 (define @t3765 () (@list @t1912)) % 1.31/1.50 (define @t3766 () (forall @t3765 @t3763)) % 1.31/1.50 (define @t3767 () (forall @t3765 @t3762)) % 1.31/1.50 (define @t3768 () (or @t1825 @t3767)) % 1.31/1.50 (define @t3769 () (tptp.kpair @t4 @t1819)) % 1.31/1.50 (define @t3770 () (tptp.in @t3769 @t878)) % 1.31/1.50 (define @t3771 () (forall @t9 (or @t1730 @t3770))) % 1.31/1.50 (define @t3772 () (or @t3523 @t3771)) % 1.31/1.50 (define @t3773 () (or @t197 @t954)) % 1.31/1.50 (define @t3774 () (=> tptp.funcGraphProp3 @t3761)) % 1.31/1.50 (define @t3775 () (or @t1920 @t1919)) % 1.31/1.50 (define @t3776 () (or @t1839 @t3775)) % 1.31/1.50 (define @t3777 () (forall @t1922 @t3776)) % 1.31/1.50 (define @t3778 () (@list @t1918)) % 1.31/1.50 (define @t3779 () (forall @t3778 @t3776)) % 1.31/1.50 (define @t3780 () (forall @t3778 @t3775)) % 1.31/1.50 (define @t3781 () (or @t1839 @t3780)) % 1.31/1.50 (define @t3782 () (or @t3545 @t3771)) % 1.31/1.50 (define @t3783 () (=> tptp.funcGraphProp1 @t3774)) % 1.31/1.50 (define @t3784 () (or @t1930 @t1929 @t1928 @t1927 @t1926)) % 1.31/1.50 (define @t3785 () (or @t1933 @t3784)) % 1.31/1.50 (define @t3786 () (forall @t1935 @t3785)) % 1.31/1.50 (define @t3787 () (@list @t1925 @t1924)) % 1.31/1.50 (define @t3788 () (forall @t3787 @t3785)) % 1.31/1.50 (define @t3789 () (forall @t3787 @t3784)) % 1.31/1.50 (define @t3790 () (or @t1933 @t3789)) % 1.31/1.50 (define @t3791 () (lambda @t9 @t2093)) % 1.31/1.50 (define @t3792 () (tptp.dsetconstr @t2 @t3791)) % 1.31/1.50 (define @t3793 () (tptp.singleton @t3792)) % 1.31/1.50 (define @t3794 () (not @t3793)) % 1.31/1.50 (define @t3795 () (or @t3794 @t2097)) % 1.31/1.50 (define @t3796 () (not @t716)) % 1.31/1.50 (define @t3797 () (or @t3796 @t2097)) % 1.31/1.50 (define @t3798 () (or @t2092 @t2091 @t2090)) % 1.31/1.50 (define @t3799 () (or @t1730 @t2094 @t3798)) % 1.31/1.50 (define @t3800 () (forall @t2096 @t3799)) % 1.31/1.50 (define @t3801 () (@list @t2089)) % 1.31/1.50 (define @t3802 () (forall @t3801 @t3799)) % 1.31/1.50 (define @t3803 () (forall @t3801 @t3798)) % 1.31/1.50 (define @t3804 () (or @t1730 @t2094 @t3803)) % 1.31/1.50 (define @t3805 () (or @t197 @t317 @t2106)) % 1.31/1.50 (define @t3806 () (or @t317 @t2106)) % 1.31/1.50 (define @t3807 () (not @t153)) % 1.31/1.50 (define @t3808 () (or @t3257 @t3807 @t129)) % 1.31/1.50 (define @t3809 () (forall @t70 @t3808)) % 1.31/1.50 (define @t3810 () (or @t317 @t3809)) % 1.31/1.50 (define @t3811 () (or @t317 @t3808)) % 1.31/1.50 (define @t3812 () (or @t3257 @t317 @t3807 @t129)) % 1.31/1.50 (define @t3813 () (or @t317 @t3807 @t129)) % 1.31/1.50 (define @t3814 () (or @t3807 @t129)) % 1.31/1.50 (define @t3815 () (_ @t145 @t4)) % 1.31/1.50 (define @t3816 () (lambda @t9 @t3815)) % 1.31/1.50 (define @t3817 () (lambda @t150 @t716)) % 1.31/1.50 (define @t3818 () (_ @t1586 @t2)) % 1.31/1.50 (define @t3819 () (_ @t3818 @t145)) % 1.31/1.50 (define @t3820 () (=> @t3819 @t720)) % 1.31/1.50 (define @t3821 () (forall @t311 @t3820)) % 1.31/1.50 (define @t3822 () (=> tptp.ex1E2 @t3783)) % 1.31/1.50 (define @t3823 () (or @t1946 @t1940 @t1939)) % 1.31/1.50 (define @t3824 () (or @t1872 @t3823)) % 1.31/1.50 (define @t3825 () (forall @t1948 @t3824)) % 1.31/1.50 (define @t3826 () (@list @t1938 @t1937)) % 1.31/1.50 (define @t3827 () (forall @t3826 @t3824)) % 1.31/1.50 (define @t3828 () (forall @t3826 @t3823)) % 1.31/1.50 (define @t3829 () (@var "BOUND_VARIABLE_12597" $$unsorted)) % 1.31/1.50 (define @t3830 () (or @t1872 @t3828)) % 1.31/1.50 (define @t3831 () (_ @t143 @t3829)) % 1.31/1.50 (define @t3832 () (not (tptp.in @t3829 @t933))) % 1.31/1.50 (define @t3833 () (_ @t143 @t1942)) % 1.31/1.50 (define @t3834 () (or @t1730 @t1944 @t1943 @t3833)) % 1.31/1.50 (define @t3835 () (forall @t1945 @t3834)) % 1.31/1.50 (define @t3836 () (not @t3835)) % 1.31/1.50 (define @t3837 () (or @t3836 @t3832 @t3831)) % 1.31/1.50 (define @t3838 () (@list @t143 @t3829)) % 1.31/1.50 (define @t3839 () (forall @t3838 @t3837)) % 1.31/1.50 (define @t3840 () (or @t3605 @t3839)) % 1.31/1.50 (define @t3841 () (or @t3832 @t3831)) % 1.31/1.50 (define @t3842 () (or @t3836 @t3841)) % 1.31/1.50 (define @t3843 () (forall @t3838 @t3842)) % 1.31/1.50 (define @t3844 () (@list @t3829)) % 1.31/1.50 (define @t3845 () (forall @t3844 @t3842)) % 1.31/1.50 (define @t3846 () (forall @t3844 @t3841)) % 1.31/1.50 (define @t3847 () (or @t3836 @t3846)) % 1.31/1.50 (define @t3848 () (tptp.in @t4 @t933)) % 1.31/1.50 (define @t3849 () (forall @t9 (or (not @t3848) @t2093))) % 1.31/1.50 (define @t3850 () (not @t934)) % 1.31/1.50 (define @t3851 () (or @t3850 @t144)) % 1.31/1.50 (define @t3852 () (or @t1944 @t1943 @t3833)) % 1.31/1.50 (define @t3853 () (or @t1730 @t3852)) % 1.31/1.50 (define @t3854 () (forall @t1945 @t3853)) % 1.31/1.50 (define @t3855 () (@list @t1941)) % 1.31/1.50 (define @t3856 () (forall @t3855 @t3853)) % 1.31/1.50 (define @t3857 () (forall @t3855 @t3852)) % 1.31/1.50 (define @t3858 () (or @t1730 @t3857)) % 1.31/1.50 (define @t3859 () (_ @t143 @t1985)) % 1.31/1.50 (define @t3860 () (forall @t70 (or @t3623 @t3637 @t3859))) % 1.31/1.50 (define @t3861 () (or @t197 @t3860)) % 1.31/1.50 (define @t3862 () (or @t3628 @t3640 @t936)) % 1.31/1.50 (define @t3863 () (=> @t3649 @t943)) % 1.31/1.50 (define @t3864 () (forall @t946 @t3863)) % 1.31/1.50 (define @t3865 () (=> tptp.brelnall2 @t3822)) % 1.31/1.50 (define @t3866 () (=> tptp.brelnall1 @t3865)) % 1.31/1.50 (define @t3867 () (lambda @t9 @t1830)) % 1.31/1.50 (define @t3868 () (tptp.lam @t2 @t1 @t3867)) % 1.31/1.50 (define @t3869 () (tptp.in @t3868 @t1823)) % 1.31/1.50 (define @t3870 () (or @t1833 @t3869)) % 1.31/1.50 (define @t3871 () (or @t1833 @t929)) % 1.31/1.50 (define @t3872 () (=> tptp.lam2p @t3866)) % 1.31/1.50 (define @t3873 () (tptp.func @t2 @t1 @t3868)) % 1.31/1.50 (define @t3874 () (or @t1833 @t3873)) % 1.31/1.50 (define @t3875 () (or @t1833 @t925)) % 1.31/1.50 (define @t3876 () (=> tptp.lamp @t3872)) % 1.31/1.50 (define @t3877 () (= @t19 @t914)) % 1.31/1.50 (define @t3878 () (lambda @t135 @t3877)) % 1.31/1.50 (define @t3879 () (_ @t848 @t3878)) % 1.31/1.50 (define @t3880 () (_ @t884 @t3879)) % 1.31/1.50 (define @t3881 () (or @t1833 @t3880)) % 1.31/1.50 (define @t3882 () (=> tptp.lamProp @t3876)) % 1.31/1.50 (define @t3883 () (or @t3545 @t905)) % 1.31/1.50 (define @t3884 () (=> tptp.funcinfuncset @t3882)) % 1.31/1.50 (define @t3885 () (or @t1960 @t1959)) % 1.31/1.50 (define @t3886 () (or @t1825 @t3885)) % 1.31/1.50 (define @t3887 () (forall @t1962 @t3886)) % 1.31/1.50 (define @t3888 () (@list @t1958)) % 1.31/1.50 (define @t3889 () (forall @t3888 @t3886)) % 1.31/1.50 (define @t3890 () (forall @t3888 @t3885)) % 1.31/1.50 (define @t3891 () (or @t1825 @t3890)) % 1.31/1.50 (define @t3892 () (tptp.in @t1819 @t1)) % 1.31/1.50 (define @t3893 () (forall @t9 (or @t1730 @t3892))) % 1.31/1.50 (define @t3894 () (or @t3523 @t3893)) % 1.31/1.50 (define @t3895 () (or @t197 @t898)) % 1.31/1.50 (define @t3896 () (=> tptp.ap2p @t3884)) % 1.31/1.50 (define @t3897 () (or @t3523 @t885)) % 1.31/1.50 (define @t3898 () (=> tptp.infuncsetfunc @t3896)) % 1.31/1.50 (define @t3899 () (or @t1967 @t1966)) % 1.31/1.50 (define @t3900 () (or @t1839 @t3899)) % 1.31/1.50 (define @t3901 () (forall @t1969 @t3900)) % 1.31/1.50 (define @t3902 () (@list @t1965)) % 1.31/1.50 (define @t3903 () (forall @t3902 @t3900)) % 1.31/1.50 (define @t3904 () (forall @t3902 @t3899)) % 1.31/1.50 (define @t3905 () (or @t1839 @t3904)) % 1.31/1.50 (define @t3906 () (or @t3545 @t3893)) % 1.31/1.50 (define @t3907 () (=> tptp.app @t3898)) % 1.31/1.50 (define @t3908 () (or @t1973 @t1972)) % 1.31/1.50 (define @t3909 () (or @t1839 @t3908)) % 1.31/1.50 (define @t3910 () (forall @t1975 @t3909)) % 1.31/1.50 (define @t3911 () (@list @t1971)) % 1.31/1.50 (define @t3912 () (forall @t3911 @t3909)) % 1.31/1.50 (define @t3913 () (forall @t3911 @t3908)) % 1.31/1.50 (define @t3914 () (or @t1839 @t3913)) % 1.31/1.50 (define @t3915 () (lambda @t70 @t3695)) % 1.31/1.50 (define @t3916 () (tptp.dsetconstr @t1 @t3915)) % 1.31/1.50 (define @t3917 () (tptp.setunion @t3916)) % 1.31/1.50 (define @t3918 () (tptp.in @t3917 @t1)) % 1.31/1.50 (define @t3919 () (forall @t9 (or @t1730 @t3918))) % 1.31/1.50 (define @t3920 () (or @t3545 @t3919)) % 1.31/1.50 (define @t3921 () (or @t197 @t891)) % 1.31/1.50 (define @t3922 () (=> tptp.apProp @t3907)) % 1.31/1.50 (define @t3923 () (or @t1979 @t1978)) % 1.31/1.50 (define @t3924 () (or @t1839 @t3923)) % 1.31/1.50 (define @t3925 () (forall @t1981 @t3924)) % 1.31/1.50 (define @t3926 () (@list @t1977)) % 1.31/1.50 (define @t3927 () (forall @t3926 @t3924)) % 1.31/1.50 (define @t3928 () (forall @t3926 @t3923)) % 1.31/1.50 (define @t3929 () (or @t1839 @t3928)) % 1.31/1.50 (define @t3930 () (tptp.singleton @t3916)) % 1.31/1.50 (define @t3931 () (forall @t9 (or @t1730 @t3930))) % 1.31/1.50 (define @t3932 () (or @t3545 @t3931)) % 1.31/1.50 (define @t3933 () (or @t197 @t882)) % 1.31/1.50 (define @t3934 () (=> tptp.funcImageSingleton @t3922)) % 1.31/1.50 (define @t3935 () (_ @t67 @t289 @t383)) % 1.31/1.50 (define @t3936 () (lambda @t388 @t3935)) % 1.31/1.50 (define @t3937 () (tptp.dpsetconstr @t2 @t1 @t3936)) % 1.31/1.50 (define @t3938 () (tptp.in @t1985 @t3937)) % 1.31/1.50 (define @t3939 () (not @t3938)) % 1.31/1.50 (define @t3940 () (or @t3939 @t1983)) % 1.31/1.50 (define @t3941 () (not @t850)) % 1.31/1.50 (define @t3942 () (or @t3941 @t76)) % 1.31/1.50 (define @t3943 () (=> tptp.dpsetconstrER @t3934)) % 1.31/1.50 (define @t3944 () (or @t3939 @t1989)) % 1.31/1.50 (define @t3945 () (or @t3941 @t354)) % 1.31/1.50 (define @t3946 () (=> tptp.dpsetconstrEL2 @t3943)) % 1.31/1.50 (define @t3947 () (or @t3939 @t1729)) % 1.31/1.50 (define @t3948 () (or @t3941 @t7)) % 1.31/1.50 (define @t3949 () (=> tptp.dpsetconstrEL1 @t3946)) % 1.31/1.50 (define @t3950 () (or @t1995 @t1994 @t1993)) % 1.31/1.50 (define @t3951 () (or @t1730 @t3950)) % 1.31/1.50 (define @t3952 () (forall @t1997 @t3951)) % 1.31/1.50 (define @t3953 () (@list @t1992)) % 1.31/1.50 (define @t3954 () (forall @t3953 @t3951)) % 1.31/1.50 (define @t3955 () (forall @t3953 @t3950)) % 1.31/1.50 (define @t3956 () (or @t1730 @t3955)) % 1.31/1.50 (define @t3957 () (forall @t70 (or @t3623 @t1987 @t1983))) % 1.31/1.50 (define @t3958 () (or @t197 @t3957)) % 1.31/1.50 (define @t3959 () (or @t3623 @t3939 @t1983)) % 1.31/1.50 (define @t3960 () (or @t3628 @t3941 @t76)) % 1.31/1.50 (define @t3961 () (=> tptp.dpsetconstrERa @t3949)) % 1.31/1.50 (define @t3962 () (lambda @t135 @t1983)) % 1.31/1.50 (define @t3963 () (tptp.dpsetconstr @t2 @t1 @t3962)) % 1.31/1.50 (define @t3964 () (tptp.subset @t3963 @t1869)) % 1.31/1.50 (define @t3965 () (forall @t860 (_ @t3645 @t858))) % 1.31/1.50 (define @t3966 () (=> tptp.setOfPairsIsBReln @t3961)) % 1.31/1.50 (define @t3967 () (=> tptp.dpsetconstrSub @t3966)) % 1.31/1.50 (define @t3968 () (or @t2003 @t2002 @t2001)) % 1.31/1.50 (define @t3969 () (or @t1730 @t3968)) % 1.31/1.50 (define @t3970 () (forall @t2005 @t3969)) % 1.31/1.50 (define @t3971 () (@list @t2000)) % 1.31/1.50 (define @t3972 () (forall @t3971 @t3969)) % 1.31/1.50 (define @t3973 () (forall @t3971 @t3968)) % 1.31/1.50 (define @t3974 () (or @t1730 @t3973)) % 1.31/1.50 (define @t3975 () (forall @t70 (or @t3623 @t2547 @t1986))) % 1.31/1.50 (define @t3976 () (or @t197 @t3975)) % 1.31/1.50 (define @t3977 () (or @t3623 @t2547 @t3938)) % 1.31/1.50 (define @t3978 () (not @t76)) % 1.31/1.50 (define @t3979 () (or @t3628 @t3978 @t850)) % 1.31/1.50 (define @t3980 () (=> tptp.dpsetconstrI @t3967)) % 1.31/1.50 (define @t3981 () (_ tptp.kpair @t2008)) % 1.31/1.50 (define @t3982 () (= @t383 @t815)) % 1.31/1.50 (define @t3983 () (not @t687)) % 1.31/1.50 (define @t3984 () (or @t3983 @t3982)) % 1.31/1.50 (define @t3985 () (=> tptp.cartprodpairsurjEq @t3980)) % 1.31/1.50 (define @t3986 () (or @t2016 @t2015)) % 1.31/1.50 (define @t3987 () (or @t1730 @t3986)) % 1.31/1.50 (define @t3988 () (forall @t2018 @t3987)) % 1.31/1.50 (define @t3989 () (@list @t2014)) % 1.31/1.50 (define @t3990 () (forall @t3989 @t3987)) % 1.31/1.50 (define @t3991 () (forall @t3989 @t3986)) % 1.31/1.50 (define @t3992 () (or @t1730 @t3991)) % 1.31/1.50 (define @t3993 () (forall @t70 (or @t3623 @t2036))) % 1.31/1.50 (define @t3994 () (or @t197 @t3993)) % 1.31/1.50 (define @t3995 () (= @t19 @t810)) % 1.31/1.50 (define @t3996 () (or @t3628 @t3995)) % 1.31/1.50 (define @t3997 () (=> tptp.cartprodsndpairEq @t3985)) % 1.31/1.50 (define @t3998 () (or @t2022 @t2021)) % 1.31/1.50 (define @t3999 () (or @t1730 @t3998)) % 1.31/1.50 (define @t4000 () (forall @t2024 @t3999)) % 1.31/1.50 (define @t4001 () (@list @t2020)) % 1.31/1.50 (define @t4002 () (forall @t4001 @t3999)) % 1.31/1.50 (define @t4003 () (forall @t4001 @t3998)) % 1.31/1.50 (define @t4004 () (or @t1730 @t4003)) % 1.31/1.50 (define @t4005 () (forall @t70 (or @t3623 @t2074))) % 1.31/1.50 (define @t4006 () (or @t197 @t4005)) % 1.31/1.50 (define @t4007 () (= @t4 @t764)) % 1.31/1.50 (define @t4008 () (or @t3628 @t4007)) % 1.31/1.50 (define @t4009 () (=> tptp.cartprodfstpairEq @t3997)) % 1.31/1.50 (define @t4010 () (=> tptp.cartprodmempaircEq @t4009)) % 1.31/1.50 (define @t4011 () (not @t676)) % 1.31/1.50 (define @t4012 () (or @t4011 @t354)) % 1.31/1.50 (define @t4013 () (=> tptp.cartprodpairmemER @t4010)) % 1.31/1.50 (define @t4014 () (or @t4011 @t7)) % 1.31/1.50 (define @t4015 () (=> tptp.cartprodpairmemEL @t4013)) % 1.31/1.50 (define @t4016 () (or @t3983 @t820)) % 1.31/1.50 (define @t4017 () (=> tptp.cartprodsndin @t4015)) % 1.31/1.50 (define @t4018 () (not @t692)) % 1.31/1.50 (define @t4019 () (or @t4018 @t3982)) % 1.31/1.50 (define @t4020 () (=> tptp.kpairsurjEq @t4017)) % 1.31/1.50 (define @t4021 () (=> tptp.ksndpairEq @t4020)) % 1.31/1.50 (define @t4022 () (_ tptp.dsetconstr @t2041)) % 1.31/1.50 (define @t4023 () (or @t4018 @t807)) % 1.31/1.50 (define @t4024 () (=> tptp.ksndsingleton @t4021)) % 1.31/1.50 (define @t4025 () (not @t781)) % 1.31/1.50 (define @t4026 () (or @t4025 @t791)) % 1.31/1.50 (define @t4027 () (=> tptp.setukpairinjR @t4024)) % 1.31/1.50 (define @t4028 () (_ tptp.setadjoin @t1799)) % 1.31/1.50 (define @t4029 () (not @t776)) % 1.31/1.50 (define @t4030 () (or @t4029 @t791)) % 1.31/1.50 (define @t4031 () (=> tptp.setukpairinjR2 @t4027)) % 1.31/1.50 (define @t4032 () (not @t795)) % 1.31/1.50 (define @t4033 () (or @t4032 @t129)) % 1.31/1.50 (define @t4034 () (=> tptp.upairequniteq @t4031)) % 1.31/1.50 (define @t4035 () (not (= @t383 @t383))) % 1.31/1.50 (define @t4036 () (or @t2060 @t4035 @t791)) % 1.31/1.50 (define @t4037 () (not @t387)) % 1.31/1.50 (define @t4038 () (or @t4037 @t2057 @t4037 @t791)) % 1.31/1.50 (define @t4039 () (or @t2057 @t4037 @t791)) % 1.31/1.50 (define @t4040 () (forall @t1065 @t4039)) % 1.31/1.50 (define @t4041 () (forall @t2062 @t4040)) % 1.31/1.50 (define @t4042 () (forall (@list @t4 @t19 @t383 @t289) @t4039)) % 1.31/1.50 (define @t4043 () (or @t4029 @t4037 @t791)) % 1.31/1.50 (define @t4044 () (=> tptp.setukpairinjR1 @t4034)) % 1.31/1.50 (define @t4045 () (not (= @t19 @t19))) % 1.31/1.50 (define @t4046 () (or @t4045 @t2065)) % 1.31/1.50 (define @t4047 () (tptp.setadjoin @t1799 tptp.emptyset)) % 1.31/1.50 (define @t4048 () (= @t2056 @t4047)) % 1.31/1.50 (define @t4049 () (or @t282 @t282 @t4048)) % 1.31/1.50 (define @t4050 () (or @t282 @t4048)) % 1.31/1.50 (define @t4051 () (forall @t9 @t4050)) % 1.31/1.50 (define @t4052 () (forall @t70 @t4051)) % 1.31/1.50 (define @t4053 () (@list @t19 @t4)) % 1.31/1.50 (define @t4054 () (forall @t4053 @t4050)) % 1.31/1.50 (define @t4055 () (or @t282 @t788)) % 1.31/1.50 (define @t4056 () (=> tptp.setukpairinjR12 @t4044)) % 1.31/1.50 (define @t4057 () (or @t4045 @t2067)) % 1.31/1.50 (define @t4058 () (= @t1799 @t2054)) % 1.31/1.50 (define @t4059 () (or @t282 @t282 @t4058)) % 1.31/1.50 (define @t4060 () (or @t282 @t4058)) % 1.31/1.50 (define @t4061 () (forall @t9 @t4060)) % 1.31/1.50 (define @t4062 () (forall @t70 @t4061)) % 1.31/1.50 (define @t4063 () (forall @t4053 @t4060)) % 1.31/1.50 (define @t4064 () (= @t279 @t293)) % 1.31/1.50 (define @t4065 () (or @t282 @t4064)) % 1.31/1.50 (define @t4066 () (=> tptp.setukpairinjR11 @t4056)) % 1.31/1.50 (define @t4067 () (or @t4025 @t744)) % 1.31/1.50 (define @t4068 () (=> tptp.setukpairinjL @t4066)) % 1.31/1.50 (define @t4069 () (or @t4029 @t744)) % 1.31/1.50 (define @t4070 () (=> tptp.setukpairinjL2 @t4068)) % 1.31/1.50 (define @t4071 () (or @t3983 @t769)) % 1.31/1.50 (define @t4072 () (=> tptp.cartprodfstin @t4070)) % 1.31/1.50 (define @t4073 () (=> tptp.kfstpairEq @t4072)) % 1.31/1.50 (define @t4074 () (or @t3326 @t760)) % 1.31/1.50 (define @t4075 () (=> tptp.theprop @t4073)) % 1.31/1.50 (define @t4076 () (_ tptp.in @t1799)) % 1.31/1.50 (define @t4077 () (or @t4018 @t755)) % 1.31/1.50 (define @t4078 () (=> tptp.kfstsingleton @t4075)) % 1.31/1.50 (define @t4079 () (not @t747)) % 1.31/1.50 (define @t4080 () (or @t4079 @t744)) % 1.31/1.50 (define @t4081 () (=> tptp.setukpairinjL1 @t4078)) % 1.31/1.50 (define @t4082 () (= @t275 @t279)) % 1.31/1.50 (define @t4083 () (not @t4082)) % 1.31/1.50 (define @t4084 () (or @t4083 @t129)) % 1.31/1.50 (define @t4085 () (=> tptp.singletonsuniq @t4081)) % 1.31/1.50 (define @t4086 () (or @t2088 @t2087)) % 1.31/1.50 (define @t4087 () (or @t2098 @t4086 @t1932)) % 1.31/1.50 (define @t4088 () (forall @t2100 @t4087)) % 1.31/1.50 (define @t4089 () (@list @t2086)) % 1.31/1.50 (define @t4090 () (forall @t4089 @t4087)) % 1.31/1.50 (define @t4091 () (forall @t4089 @t4086)) % 1.31/1.50 (define @t4092 () (or @t2098 @t4091 @t1932)) % 1.31/1.50 (define @t4093 () (or @t2098 @t2109 @t3793)) % 1.31/1.50 (define @t4094 () (or @t2098 @t2109 @t716)) % 1.31/1.50 (define @t4095 () (not @t2110)) % 1.31/1.50 (define @t4096 () (=> @t2110 @t716)) % 1.31/1.50 (define @t4097 () (or @t197 @t317)) % 1.31/1.50 (define @t4098 () (forall @t9 (not @t308))) % 1.31/1.50 (define @t4099 () (not @t4098)) % 1.31/1.50 (define @t4100 () (=> @t309 @t3819)) % 1.31/1.50 (define @t4101 () (=> @t720 @t4100)) % 1.31/1.50 (define @t4102 () (forall @t311 @t4101)) % 1.31/1.50 (define @t4103 () (=> tptp.ex1I2 @t4085)) % 1.31/1.50 (define @t4104 () (@var "BOUND_VARIABLE_11900" $$unsorted)) % 1.31/1.50 (define @t4105 () (_ @t143 @t4104)) % 1.31/1.50 (define @t4106 () (@list @t4104)) % 1.31/1.50 (define @t4107 () (lambda @t4106 @t4105)) % 1.31/1.50 (define @t4108 () (tptp.dsetconstr @t2 @t4107)) % 1.31/1.50 (define @t4109 () (tptp.singleton @t4108)) % 1.31/1.50 (define @t4110 () (or @t1730 @t2094 @t2107 @t4109)) % 1.31/1.50 (define @t4111 () (_ @t143 @t4104)) % 1.31/1.50 (define @t4112 () (lambda @t4106 @t4111)) % 1.31/1.50 (define @t4113 () (_ @t155 @t4112)) % 1.31/1.50 (define @t4114 () (_ tptp.singleton @t4113)) % 1.31/1.50 (define @t4115 () (or @t197 @t317 @t2107 @t4114)) % 1.31/1.50 (define @t4116 () (or @t317 @t2107 @t4114)) % 1.31/1.50 (define @t4117 () (=> @t2106 @t4114)) % 1.31/1.50 (define @t4118 () (=> @t144 @t4117)) % 1.31/1.50 (define @t4119 () (=> @t2106 @t716)) % 1.31/1.50 (define @t4120 () (=> @t144 @t4119)) % 1.31/1.50 (define @t4121 () (=> @t7 @t4120)) % 1.31/1.50 (define @t4122 () (_ @t154 @t4)) % 1.31/1.50 (define @t4123 () (lambda @t9 @t4122)) % 1.31/1.50 (define @t4124 () (=> @t731 (_ @t3818 @t154))) % 1.31/1.50 (define @t4125 () (=> @t144 @t4124)) % 1.31/1.50 (define @t4126 () (=> @t7 @t4125)) % 1.31/1.50 (define @t4127 () (forall @t159 @t4126)) % 1.31/1.50 (define @t4128 () (=> tptp.ex1I @t4103)) % 1.31/1.50 (define @t4129 () (or @t3794 @t2110)) % 1.31/1.50 (define @t4130 () (or @t3796 @t2110)) % 1.31/1.50 (define @t4131 () (=> @t3819 @t309)) % 1.31/1.50 (define @t4132 () (forall @t311 @t4131)) % 1.31/1.50 (define @t4133 () (=> tptp.ex1E1 @t4128)) % 1.31/1.50 (define @t4134 () (=> tptp.singletonprop @t4133)) % 1.31/1.50 (define @t4135 () (= @t4 @t713)) % 1.31/1.50 (define @t4136 () (=> tptp.setunionsingleton @t4134)) % 1.31/1.50 (define @t4137 () (=> tptp.setunionsingleton2 @t4136)) % 1.31/1.50 (define @t4138 () (=> tptp.setunionsingleton1 @t4137)) % 1.31/1.50 (define @t4139 () (not @t44)) % 1.31/1.50 (define @t4140 () (or @t4139 @t2121)) % 1.31/1.50 (define @t4141 () (not @t698)) % 1.31/1.50 (define @t4142 () (or @t4141 @t1213)) % 1.31/1.50 (define @t4143 () (forall @t700 (not @t699))) % 1.31/1.50 (define @t4144 () (not @t4143)) % 1.31/1.50 (define @t4145 () (=> tptp.setunionE2 @t4138)) % 1.31/1.50 (define @t4146 () (or @t3983 @t692)) % 1.31/1.50 (define @t4147 () (=> tptp.cartprodmempair @t4145)) % 1.31/1.50 (define @t4148 () (or @t3983 @t2132)) % 1.31/1.50 (define @t4149 () (or @t2129 @t2128)) % 1.31/1.50 (define @t4150 () (or @t1730 @t4149)) % 1.31/1.50 (define @t4151 () (forall @t2131 @t4150)) % 1.31/1.50 (define @t4152 () (@list @t2127)) % 1.31/1.50 (define @t4153 () (forall @t4152 @t4150)) % 1.31/1.50 (define @t4154 () (forall @t4152 @t4149)) % 1.31/1.50 (define @t4155 () (or @t1730 @t4154)) % 1.31/1.50 (define @t4156 () (forall @t70 (or @t3623 (not (= @t383 @t1985))))) % 1.31/1.50 (define @t4157 () (or @t197 @t4156)) % 1.31/1.50 (define @t4158 () (not @t4156)) % 1.31/1.50 (define @t4159 () (and @t7 @t4158)) % 1.31/1.50 (define @t4160 () (forall @t9 (not @t4159))) % 1.31/1.50 (define @t4161 () (not @t4160)) % 1.31/1.50 (define @t4162 () (not @t681)) % 1.31/1.50 (define @t4163 () (or @t3628 @t4162)) % 1.31/1.50 (define @t4164 () (forall @t70 (not @t682))) % 1.31/1.50 (define @t4165 () (not @t4164)) % 1.31/1.50 (define @t4166 () (=> tptp.cartprodmempair1 @t4147)) % 1.31/1.50 (define @t4167 () (or @t2136 @t2135)) % 1.31/1.50 (define @t4168 () (or @t1730 @t4167)) % 1.31/1.50 (define @t4169 () (forall @t2138 @t4168)) % 1.31/1.50 (define @t4170 () (@list @t2134)) % 1.31/1.50 (define @t4171 () (forall @t4170 @t4168)) % 1.31/1.50 (define @t4172 () (forall @t4170 @t4167)) % 1.31/1.50 (define @t4173 () (or @t1730 @t4172)) % 1.31/1.50 (define @t4174 () (forall @t70 (or @t3623 @t2026))) % 1.31/1.50 (define @t4175 () (or @t197 @t4174)) % 1.31/1.50 (define @t4176 () (or @t3628 @t676)) % 1.31/1.50 (define @t4177 () (=> tptp.cartprodpairin @t4166)) % 1.31/1.50 (define @t4178 () (or @t2145 @t2144)) % 1.31/1.50 (define @t4179 () (or @t1730 @t4178)) % 1.31/1.50 (define @t4180 () (forall @t2147 @t4179)) % 1.31/1.50 (define @t4181 () (@list @t2143)) % 1.31/1.50 (define @t4182 () (forall @t4181 @t4179)) % 1.31/1.50 (define @t4183 () (forall @t4181 @t4178)) % 1.31/1.50 (define @t4184 () (or @t1730 @t4183)) % 1.31/1.50 (define @t4185 () (tptp.in @t1985 @t2142)) % 1.31/1.50 (define @t4186 () (forall @t70 (or @t3623 @t4185))) % 1.31/1.50 (define @t4187 () (or @t197 @t4186)) % 1.31/1.50 (define @t4188 () (or @t3628 @t670)) % 1.31/1.50 (define @t4189 () (=> tptp.ubforcartprodlem3 @t4177)) % 1.31/1.50 (define @t4190 () (or @t2151 @t2150)) % 1.31/1.50 (define @t4191 () (or @t1730 @t4190)) % 1.31/1.50 (define @t4192 () (forall @t2153 @t4191)) % 1.31/1.50 (define @t4193 () (@list @t2149)) % 1.31/1.50 (define @t4194 () (forall @t4193 @t4191)) % 1.31/1.50 (define @t4195 () (forall @t4193 @t4190)) % 1.31/1.50 (define @t4196 () (or @t1730 @t4195)) % 1.31/1.50 (define @t4197 () (tptp.in @t2056 @t2142)) % 1.31/1.50 (define @t4198 () (forall @t70 (or @t3623 @t4197))) % 1.31/1.50 (define @t4199 () (or @t197 @t4198)) % 1.31/1.50 (define @t4200 () (or @t3628 @t664)) % 1.31/1.50 (define @t4201 () (=> tptp.ubforcartprodlem2 @t4189)) % 1.31/1.50 (define @t4202 () (or @t2157 @t2156)) % 1.31/1.50 (define @t4203 () (or @t1730 @t4202)) % 1.31/1.50 (define @t4204 () (forall @t2159 @t4203)) % 1.31/1.50 (define @t4205 () (@list @t2155)) % 1.31/1.50 (define @t4206 () (forall @t4205 @t4203)) % 1.31/1.50 (define @t4207 () (forall @t4205 @t4202)) % 1.31/1.50 (define @t4208 () (or @t1730 @t4207)) % 1.31/1.50 (define @t4209 () (tptp.subset @t2056 @t2141)) % 1.31/1.50 (define @t4210 () (forall @t70 (or @t3623 @t4209))) % 1.31/1.50 (define @t4211 () (or @t197 @t4210)) % 1.31/1.50 (define @t4212 () (or @t3628 @t658)) % 1.31/1.50 (define @t4213 () (=> tptp.ubforcartprodlem1 @t4201)) % 1.31/1.50 (define @t4214 () (or @t2163 @t2162)) % 1.31/1.50 (define @t4215 () (or @t1730 @t4214)) % 1.31/1.50 (define @t4216 () (forall @t2165 @t4215)) % 1.31/1.50 (define @t4217 () (@list @t2161)) % 1.31/1.50 (define @t4218 () (forall @t4217 @t4215)) % 1.31/1.50 (define @t4219 () (forall @t4217 @t4214)) % 1.31/1.50 (define @t4220 () (or @t1730 @t4219)) % 1.31/1.50 (define @t4221 () (tptp.in @t2054 @t2141)) % 1.31/1.50 (define @t4222 () (forall @t70 (or @t3623 @t4221))) % 1.31/1.50 (define @t4223 () (or @t197 @t4222)) % 1.31/1.50 (define @t4224 () (or @t3628 @t653)) % 1.31/1.50 (define @t4225 () (=> tptp.upairinpowunion @t4213)) % 1.31/1.50 (define @t4226 () (or @t2169 @t2168)) % 1.31/1.50 (define @t4227 () (or @t1730 @t4226)) % 1.31/1.50 (define @t4228 () (forall @t2171 @t4227)) % 1.31/1.50 (define @t4229 () (@list @t2167)) % 1.31/1.50 (define @t4230 () (forall @t4229 @t4227)) % 1.31/1.50 (define @t4231 () (forall @t4229 @t4226)) % 1.31/1.50 (define @t4232 () (or @t1730 @t4231)) % 1.31/1.50 (define @t4233 () (tptp.subset @t2054 @t2140)) % 1.31/1.50 (define @t4234 () (forall @t70 (or @t3623 @t4233))) % 1.31/1.50 (define @t4235 () (or @t197 @t4234)) % 1.31/1.50 (define @t4236 () (or @t3628 @t648)) % 1.31/1.50 (define @t4237 () (=> tptp.upairsubunion @t4225)) % 1.31/1.50 (define @t4238 () (not @t295)) % 1.31/1.50 (define @t4239 () (or @t4238 @t744 @t2173)) % 1.31/1.50 (define @t4240 () (or @t744 @t2173)) % 1.31/1.50 (define @t4241 () (=> tptp.upairset2E @t4237)) % 1.31/1.50 (define @t4242 () (or @t197 @t645)) % 1.31/1.50 (define @t4243 () (=> tptp.singletoninpowunion @t4241)) % 1.31/1.50 (define @t4244 () (or @t197 @t641)) % 1.31/1.50 (define @t4245 () (=> tptp.singletoninpowerset @t4243)) % 1.31/1.50 (define @t4246 () (or @t197 @t637)) % 1.31/1.50 (define @t4247 () (=> tptp.singletonsubset @t4245)) % 1.31/1.50 (define @t4248 () (=> tptp.kpairp @t4247)) % 1.31/1.50 (define @t4249 () (=> tptp.kpairiskpair @t4248)) % 1.31/1.50 (define @t4250 () (=> tptp.setukpairIR @t4249)) % 1.31/1.50 (define @t4251 () (=> tptp.setukpairIL @t4250)) % 1.31/1.50 (define @t4252 () (=> tptp.secondinupair @t4251)) % 1.31/1.50 (define @t4253 () (or @t7 @t6 @t612)) % 1.31/1.50 (define @t4254 () (not @t437)) % 1.31/1.50 (define @t4255 () (not @t197)) % 1.31/1.50 (define @t4256 () (=> tptp.symdiffIneg2 @t4252)) % 1.31/1.50 (define @t4257 () (or @t197 @t437 @t612)) % 1.31/1.50 (define @t4258 () (=> tptp.symdiffIneg1 @t4256)) % 1.31/1.50 (define @t4259 () (or @t7 @t437 @t602)) % 1.31/1.50 (define @t4260 () (=> tptp.symdiffI2 @t4258)) % 1.31/1.50 (define @t4261 () (or @t197 @t6 @t602)) % 1.31/1.50 (define @t4262 () (=> tptp.symdiffI1 @t4260)) % 1.31/1.50 (define @t4263 () (or @t612 @t2203 @t2202)) % 1.31/1.50 (define @t4264 () (or @t2203 @t2202)) % 1.31/1.50 (define @t4265 () (and @t1730 @t2196 @t3443)) % 1.31/1.50 (define @t4266 () (and @t1729 @t2198 @t3443)) % 1.31/1.50 (define @t4267 () (or @t4266 @t4265)) % 1.31/1.50 (define @t4268 () (or @t4266 @t4265 false)) % 1.31/1.50 (define @t4269 () (and @t1730 @t2196 @t1061)) % 1.31/1.50 (define @t4270 () (and @t1729 @t2198 @t1061)) % 1.31/1.50 (define @t4271 () (or @t173 @t4270 @t4269 @t173)) % 1.31/1.50 (define @t4272 () (or @t4270 @t4269 @t173)) % 1.31/1.50 (define @t4273 () (and @t197 @t6 @t1061)) % 1.31/1.50 (define @t4274 () (and @t7 @t437 @t1061)) % 1.31/1.50 (define @t4275 () (or @t4274 @t4273 @t173)) % 1.31/1.50 (define @t4276 () (and @t6 @t1061)) % 1.31/1.50 (define @t4277 () (not @t500)) % 1.31/1.50 (define @t4278 () (=> tptp.symdiffE @t4262)) % 1.31/1.50 (define @t4279 () (= tptp.emptyset @t568)) % 1.31/1.50 (define @t4280 () (not @t4279)) % 1.31/1.50 (define @t4281 () (or @t4280 @t422)) % 1.31/1.50 (define @t4282 () (=> tptp.setminusSubset1 @t4278)) % 1.31/1.50 (define @t4283 () (=> tptp.setminusLsub @t4282)) % 1.31/1.50 (define @t4284 () (or @t437 @t581)) % 1.31/1.50 (define @t4285 () (=> tptp.setminusIRneg @t4283)) % 1.31/1.50 (define @t4286 () (or @t7 @t581)) % 1.31/1.50 (define @t4287 () (=> tptp.setminusILneg @t4285)) % 1.31/1.50 (define @t4288 () (or @t569 @t6 @t197)) % 1.31/1.50 (define @t4289 () (or @t6 @t197)) % 1.31/1.50 (define @t4290 () (not @t581)) % 1.31/1.50 (define @t4291 () (=> tptp.setminusELneg @t4287)) % 1.31/1.50 (define @t4292 () (or @t569 @t197 @t6)) % 1.31/1.50 (define @t4293 () (or @t197 @t6)) % 1.31/1.50 (define @t4294 () (=> tptp.setminusERneg @t4291)) % 1.31/1.50 (define @t4295 () (or @t441 @t4279)) % 1.31/1.50 (define @t4296 () (=> tptp.setminusSubset2 @t4294)) % 1.31/1.50 (define @t4297 () (or @t581 @t437)) % 1.31/1.50 (define @t4298 () (=> tptp.setminusER @t4296)) % 1.31/1.50 (define @t4299 () (or @t581 @t7)) % 1.31/1.50 (define @t4300 () (=> tptp.setminusEL @t4298)) % 1.31/1.50 (define @t4301 () (or @t197 @t6 @t569)) % 1.31/1.50 (define @t4302 () (=> tptp.setminusI @t4300)) % 1.31/1.50 (define @t4303 () (=> tptp.bs114d @t4302)) % 1.31/1.50 (define @t4304 () (= @t2 @t517)) % 1.31/1.50 (define @t4305 () (not @t4304)) % 1.31/1.50 (define @t4306 () (or @t4305 @t422)) % 1.31/1.50 (define @t4307 () (=> tptp.binintersectSubset1 @t4303)) % 1.31/1.50 (define @t4308 () (= @t1 @t517)) % 1.31/1.50 (define @t4309 () (not @t427)) % 1.31/1.50 (define @t4310 () (or @t4309 @t4308)) % 1.31/1.50 (define @t4311 () (=> tptp.binintersectSubset4 @t4307)) % 1.31/1.50 (define @t4312 () (_ tptp.subset @t2223)) % 1.31/1.50 (define @t4313 () (=> tptp.binintersectRsub @t4311)) % 1.31/1.50 (define @t4314 () (= tptp.emptyset @t517)) % 1.31/1.50 (define @t4315 () (or @t2237 @t4314)) % 1.31/1.50 (define @t4316 () (or @t197 @t437)) % 1.31/1.50 (define @t4317 () (forall @t9 (not @t545))) % 1.31/1.50 (define @t4318 () (not @t4317)) % 1.31/1.50 (define @t4319 () (=> tptp.disjointsetsI1 @t4313)) % 1.31/1.50 (define @t4320 () (not @t518)) % 1.31/1.50 (define @t4321 () (or @t4320 @t6)) % 1.31/1.50 (define @t4322 () (=> tptp.binintersectER @t4319)) % 1.31/1.50 (define @t4323 () (not @t4308)) % 1.31/1.50 (define @t4324 () (or @t4323 @t427)) % 1.31/1.50 (define @t4325 () (=> tptp.binintersectSubset3 @t4322)) % 1.31/1.50 (define @t4326 () (or @t441 @t4304)) % 1.31/1.50 (define @t4327 () (=> tptp.binintersectSubset2 @t4325)) % 1.31/1.50 (define @t4328 () (=> tptp.binintersectLsub @t4327)) % 1.31/1.50 (define @t4329 () (or @t4320 @t7)) % 1.31/1.50 (define @t4330 () (=> tptp.binintersectEL @t4328)) % 1.31/1.50 (define @t4331 () (not @t524)) % 1.31/1.50 (define @t4332 () (not @t526)) % 1.31/1.50 (define @t4333 () (or @t4332 @t4331 @t523)) % 1.31/1.50 (define @t4334 () (=> tptp.binintersectSubset5 @t4330)) % 1.31/1.50 (define @t4335 () (or @t197 @t437 @t518)) % 1.31/1.50 (define @t4336 () (=> tptp.binintersectI @t4334)) % 1.31/1.50 (define @t4337 () (=> tptp.binunionRsub @t4336)) % 1.31/1.50 (define @t4338 () (=> tptp.binunionLsub @t4337)) % 1.31/1.50 (define @t4339 () (not @t495)) % 1.31/1.50 (define @t4340 () (or @t4339 @t7 @t6)) % 1.31/1.50 (define @t4341 () (=> tptp.binunionE @t4338)) % 1.31/1.50 (define @t4342 () (and @t2196 @t3443)) % 1.31/1.50 (define @t4343 () (and @t1729 @t3443)) % 1.31/1.50 (define @t4344 () (or @t2257 @t4343 @t4342)) % 1.31/1.50 (define @t4345 () (or @t2257 @t4343 @t4342 false)) % 1.31/1.50 (define @t4346 () (and @t2196 @t1061)) % 1.31/1.50 (define @t4347 () (and @t1729 @t1061)) % 1.31/1.50 (define @t4348 () (or @t173 @t2257 @t4347 @t4346 @t173)) % 1.31/1.50 (define @t4349 () (or @t2257 @t4347 @t4346 @t173)) % 1.31/1.50 (define @t4350 () (forall @t179 @t4349)) % 1.31/1.50 (define @t4351 () (forall @t245 @t4350)) % 1.31/1.50 (define @t4352 () (and @t7 @t1061)) % 1.31/1.50 (define @t4353 () (or @t4339 @t4352 @t4276 @t173)) % 1.31/1.50 (define @t4354 () (or @t4352 @t4276 @t173)) % 1.31/1.50 (define @t4355 () (=> tptp.binunionEcases @t4341)) % 1.31/1.50 (define @t4356 () (or @t437 @t495)) % 1.31/1.50 (define @t4357 () (=> tptp.binunionIR @t4355)) % 1.31/1.50 (define @t4358 () (=> tptp.upairset2IR @t4357)) % 1.31/1.50 (define @t4359 () (or @t197 @t495)) % 1.31/1.50 (define @t4360 () (=> tptp.binunionIL @t4358)) % 1.31/1.50 (define @t4361 () (tptp.subset @t3792 @t2)) % 1.31/1.50 (define @t4362 () (=> tptp.sepSubset @t4360)) % 1.31/1.50 (define @t4363 () (tptp.in @t3792 @t1594)) % 1.31/1.50 (define @t4364 () (=> tptp.sepInPowerset @t4362)) % 1.31/1.50 (define @t4365 () (or @t441 @t485)) % 1.31/1.50 (define @t4366 () (=> tptp.powersetsubset @t4364)) % 1.31/1.50 (define @t4367 () (=> tptp.inPowerset @t4366)) % 1.31/1.50 (define @t4368 () (not @t35)) % 1.31/1.50 (define @t4369 () (or @t4368 @t427)) % 1.31/1.50 (define @t4370 () (=> tptp.powersetE1 @t4367)) % 1.31/1.50 (define @t4371 () (or @t4309 @t35)) % 1.31/1.50 (define @t4372 () (=> tptp.powersetI1 @t4370)) % 1.31/1.50 (define @t4373 () (not @t475)) % 1.31/1.50 (define @t4374 () (or @t4373 @t196)) % 1.31/1.50 (define @t4375 () (=> tptp.subsetemptysetimpeq @t4372)) % 1.31/1.50 (define @t4376 () (or @t441 @t4309 @t3)) % 1.31/1.50 (define @t4377 () (=> tptp.setextsub @t4375)) % 1.31/1.50 (define @t4378 () (or @t441 @t469)) % 1.31/1.50 (define @t4379 () (=> tptp.subset2powerset @t4377)) % 1.31/1.50 (define @t4380 () (or @t441 @t465)) % 1.31/1.50 (define @t4381 () (=> tptp.setadjoinSub2 @t4379)) % 1.31/1.50 (define @t4382 () (=> tptp.setadjoinSub @t4381)) % 1.31/1.50 (define @t4383 () (not @t455)) % 1.31/1.50 (define @t4384 () (or @t441 @t4383 @t454)) % 1.31/1.50 (define @t4385 () (=> tptp.subsetTrans @t4382)) % 1.31/1.50 (define @t4386 () (=> tptp.subsetRefl @t4385)) % 1.31/1.50 (define @t4387 () (@list @t1 @t4)) % 1.31/1.50 (define @t4388 () (or @t2198 @t2196)) % 1.31/1.50 (define @t4389 () (not (= @t1 @t1))) % 1.31/1.50 (define @t4390 () (or @t2198 @t2196 @t4389)) % 1.31/1.50 (define @t4391 () (or @t445 @t1730 @t2196 @t445)) % 1.31/1.50 (define @t4392 () (or @t1730 @t2196 @t445)) % 1.31/1.50 (define @t4393 () (forall @t64 @t4392)) % 1.31/1.50 (define @t4394 () (forall @t4387 @t4393)) % 1.31/1.50 (define @t4395 () (forall (@list @t1 @t4 @t2) @t4392)) % 1.31/1.50 (define @t4396 () (or @t197 @t6 @t445)) % 1.31/1.50 (define @t4397 () (=> tptp.notequalI2 @t4386)) % 1.31/1.50 (define @t4398 () (or @t2288 @t4389)) % 1.31/1.50 (define @t4399 () (or @t445 @t2205 @t445)) % 1.31/1.50 (define @t4400 () (or @t2205 @t445)) % 1.31/1.50 (define @t4401 () (forall @t64 @t4400)) % 1.31/1.50 (define @t4402 () (forall @t41 @t4401)) % 1.31/1.50 (define @t4403 () (@list @t1 @t2)) % 1.31/1.50 (define @t4404 () (forall @t4403 @t4400)) % 1.31/1.50 (define @t4405 () (or @t422 @t445)) % 1.31/1.50 (define @t4406 () (=> tptp.notequalI1 @t4397)) % 1.31/1.50 (define @t4407 () (or @t197 @t6 @t441)) % 1.31/1.50 (define @t4408 () (=> tptp.notsubsetI @t4406)) % 1.31/1.50 (define @t4409 () (or @t441 @t6 @t197)) % 1.31/1.50 (define @t4410 () (=> tptp.subsetE2 @t4408)) % 1.31/1.50 (define @t4411 () (or @t441 @t197 @t6)) % 1.31/1.50 (define @t4412 () (=> tptp.subsetE @t4410)) % 1.31/1.50 (define @t4413 () (=> tptp.emptysetsubset @t4412)) % 1.31/1.50 (define @t4414 () (or @t2296 @t422)) % 1.31/1.50 (define @t4415 () (=> tptp.subsetI2 @t4413)) % 1.31/1.50 (define @t4416 () (or @t4389 @t2288)) % 1.31/1.50 (define @t4417 () (or @t445 @t445 @t2205)) % 1.31/1.50 (define @t4418 () (or @t445 @t2205)) % 1.31/1.50 (define @t4419 () (forall @t64 @t4418)) % 1.31/1.50 (define @t4420 () (forall @t41 @t4419)) % 1.31/1.50 (define @t4421 () (forall @t4403 @t4418)) % 1.31/1.50 (define @t4422 () (or @t445 @t422)) % 1.31/1.50 (define @t4423 () (=> tptp.eqimpsubset1 @t4415)) % 1.31/1.50 (define @t4424 () (or @t445 @t445 @t2231)) % 1.31/1.50 (define @t4425 () (or @t445 @t2231)) % 1.31/1.50 (define @t4426 () (forall @t64 @t4425)) % 1.31/1.50 (define @t4427 () (forall @t41 @t4426)) % 1.31/1.50 (define @t4428 () (forall @t4403 @t4425)) % 1.31/1.50 (define @t4429 () (or @t445 @t427)) % 1.31/1.50 (define @t4430 () (=> tptp.eqimpsubset2 @t4423)) % 1.31/1.50 (define @t4431 () (=> tptp.subsetI1 @t4430)) % 1.31/1.50 (define @t4432 () (or @t2198 @t2198 @t2303)) % 1.31/1.50 (define @t4433 () (forall @t9 @t4432)) % 1.31/1.50 (define @t4434 () (not @t4433)) % 1.31/1.50 (define @t4435 () (or @t4389 @t4434 (= @t2299 @t2301))) % 1.31/1.50 (define @t4436 () (= (tptp.dsetconstr @t2 @t2298) @t2301)) % 1.31/1.50 (define @t4437 () (not (forall @t9 (or @t1730 @t2198 @t2303)))) % 1.31/1.50 (define @t4438 () (or @t445 @t445 @t4437 @t4436)) % 1.31/1.50 (define @t4439 () (or @t445 @t4437 @t4436)) % 1.31/1.50 (define @t4440 () (forall @t64 @t4439)) % 1.31/1.50 (define @t4441 () (forall @t2307 @t4440)) % 1.31/1.50 (define @t4442 () (forall (@list @t1 @t2298 @t2300 @t2) @t4439)) % 1.31/1.50 (define @t4443 () (@list @t2 @t1 @t2298 @t2300)) % 1.31/1.50 (define @t4444 () (or @t4437 @t4436)) % 1.31/1.50 (define @t4445 () (or @t445 @t4444)) % 1.31/1.50 (define @t4446 () (forall @t4443 @t4445)) % 1.31/1.50 (define @t4447 () (@list @t2298 @t2300)) % 1.31/1.50 (define @t4448 () (forall @t4447 @t4445)) % 1.31/1.50 (define @t4449 () (forall @t4447 @t4444)) % 1.31/1.50 (define @t4450 () (or @t445 @t4449)) % 1.31/1.50 (define @t4451 () (= @t2093 @t2332)) % 1.31/1.50 (define @t4452 () (forall @t9 (or @t1730 @t2198 @t4451))) % 1.31/1.50 (define @t4453 () (not @t4452)) % 1.31/1.50 (define @t4454 () (forall @t378 (or @t4453 (= @t1931 (tptp.dsetconstr @t1 @t368))))) % 1.31/1.50 (define @t4455 () (lambda @t9 @t2332)) % 1.31/1.50 (define @t4456 () (tptp.dsetconstr @t1 @t4455)) % 1.31/1.50 (define @t4457 () (= @t3792 @t4456)) % 1.31/1.50 (define @t4458 () (or @t4453 @t4457)) % 1.31/1.50 (define @t4459 () (or @t4453 @t412)) % 1.31/1.50 (define @t4460 () (or @t197 @t2198 @t4451)) % 1.31/1.50 (define @t4461 () (or @t2198 @t4451)) % 1.31/1.50 (define @t4462 () (not (= @t4 @t4))) % 1.31/1.50 (define @t4463 () (or @t2198 @t4462 @t4451)) % 1.31/1.50 (define @t4464 () (= @t2093 @t2310)) % 1.31/1.50 (define @t4465 () (or @t282 @t3623 @t282 @t4464)) % 1.31/1.50 (define @t4466 () (or @t3623 @t282 @t4464)) % 1.31/1.50 (define @t4467 () (or @t3628 @t282 @t374)) % 1.31/1.50 (define @t4468 () (or @t282 @t374)) % 1.31/1.50 (define @t4469 () (=> tptp.dsetconstr__Cong @t4431)) % 1.31/1.50 (define @t4470 () (or @t2311 (= @t2309 @t19))) % 1.31/1.50 (define @t4471 () (forall @t70 @t4470)) % 1.31/1.50 (define @t4472 () (not @t4471)) % 1.31/1.50 (define @t4473 () (or @t2103 (= @t2313 @t19))) % 1.31/1.50 (define @t4474 () (forall @t70 @t4473)) % 1.31/1.50 (define @t4475 () (not @t4474)) % 1.31/1.50 (define @t4476 () (or @t2319 @t2316 @t2314 @t4475 @t2312 @t4472)) % 1.31/1.50 (define @t4477 () (or @t2312 @t4472)) % 1.31/1.50 (define @t4478 () (or @t2314 @t4475)) % 1.31/1.50 (define @t4479 () (or @t2319 @t4478 @t4477 @t2316)) % 1.31/1.50 (define @t4480 () (forall @t2320 @t4479)) % 1.31/1.50 (define @t4481 () (forall (@list @t2313 @t2309) @t4479)) % 1.31/1.50 (define @t4482 () (forall (@list @t2309) @t4477)) % 1.31/1.50 (define @t4483 () (forall (@list @t2313) @t4478)) % 1.31/1.50 (define @t4484 () (or @t2319 @t4483 @t4482 @t2316)) % 1.31/1.50 (define @t4485 () (tptp.descr @t4455)) % 1.31/1.50 (define @t4486 () (tptp.descr @t3791)) % 1.31/1.50 (define @t4487 () (= @t4486 @t4485)) % 1.31/1.50 (define @t4488 () (or @t2319 @t2337 @t2333 @t4487)) % 1.31/1.50 (define @t4489 () (or @t2319 @t2337 @t2333 @t404)) % 1.31/1.50 (define @t4490 () (or @t2337 @t2333 @t404)) % 1.31/1.50 (define @t4491 () (=> @t2334 @t404)) % 1.31/1.50 (define @t4492 () (not @t2338)) % 1.31/1.50 (define @t4493 () (=> @t2338 @t4491)) % 1.31/1.50 (define @t4494 () (not @t369)) % 1.31/1.50 (define @t4495 () (or @t4494 @t2331)) % 1.31/1.50 (define @t4496 () (not @t373)) % 1.31/1.50 (define @t4497 () (or @t4496 @t129)) % 1.31/1.50 (define @t4498 () (_ @t370 @t19)) % 1.31/1.50 (define @t4499 () (not @t4498)) % 1.31/1.50 (define @t4500 () (or @t4499 @t129)) % 1.31/1.50 (define @t4501 () (forall @t70 @t4500)) % 1.31/1.50 (define @t4502 () (not @t4501)) % 1.31/1.50 (define @t4503 () (_ @t370 @t4)) % 1.31/1.50 (define @t4504 () (not @t4503)) % 1.31/1.50 (define @t4505 () (or @t4504 @t4502)) % 1.31/1.50 (define @t4506 () (forall @t9 @t4505)) % 1.31/1.50 (define @t4507 () (not @t4506)) % 1.31/1.50 (define @t4508 () (lambda @t150 @t2338)) % 1.31/1.50 (define @t4509 () (_ @t4508 @t370)) % 1.31/1.50 (define @t4510 () (=> @t4509 @t404)) % 1.31/1.50 (define @t4511 () (or @t317 @t2336)) % 1.31/1.50 (define @t4512 () (_ @t145 @t19)) % 1.31/1.50 (define @t4513 () (not @t4512)) % 1.31/1.50 (define @t4514 () (or @t4513 @t129)) % 1.31/1.50 (define @t4515 () (forall @t70 @t4514)) % 1.31/1.50 (define @t4516 () (not @t4515)) % 1.31/1.50 (define @t4517 () (_ @t145 @t4)) % 1.31/1.50 (define @t4518 () (not @t4517)) % 1.31/1.50 (define @t4519 () (or @t4518 @t4516)) % 1.31/1.50 (define @t4520 () (forall @t9 @t4519)) % 1.31/1.50 (define @t4521 () (not @t4520)) % 1.31/1.50 (define @t4522 () (_ @t4508 @t145)) % 1.31/1.50 (define @t4523 () (=> @t4522 @t4510)) % 1.31/1.50 (define @t4524 () (or @t4045 @t2317)) % 1.31/1.50 (define @t4525 () (or @t282 @t282 @t4464)) % 1.31/1.50 (define @t4526 () (or @t282 @t4464)) % 1.31/1.50 (define @t4527 () (forall @t9 @t4526)) % 1.31/1.50 (define @t4528 () (forall @t70 @t4527)) % 1.31/1.50 (define @t4529 () (forall @t4053 @t4526)) % 1.31/1.50 (define @t4530 () (=> @t376 @t4523)) % 1.31/1.50 (define @t4531 () (forall @t378 @t4530)) % 1.31/1.50 (define @t4532 () (and @t144 @t2335)) % 1.31/1.50 (define @t4533 () (forall @t9 (not @t4532))) % 1.31/1.50 (define @t4534 () (not @t4533)) % 1.31/1.50 (define @t4535 () (=> tptp.descr__Cong @t4469)) % 1.31/1.50 (define @t4536 () (or @t2103 (= @t2327 @t19))) % 1.31/1.50 (define @t4537 () (forall @t70 @t4536)) % 1.31/1.50 (define @t4538 () (not @t4537)) % 1.31/1.50 (define @t4539 () (or @t2328 @t4538 @t2326 @t2325 @t2324)) % 1.31/1.50 (define @t4540 () (or @t2326 @t2325 @t2324)) % 1.31/1.50 (define @t4541 () (or @t2328 @t4538)) % 1.31/1.50 (define @t4542 () (or @t4541 @t4540)) % 1.31/1.50 (define @t4543 () (forall @t2329 @t4542)) % 1.31/1.50 (define @t4544 () (forall (@list @t2327 @t2323 @t2322) @t4542)) % 1.31/1.50 (define @t4545 () (forall (@list @t2323 @t2322) @t4540)) % 1.31/1.50 (define @t4546 () (forall (@list @t2327) @t4541)) % 1.31/1.50 (define @t4547 () (or @t4546 @t4545)) % 1.31/1.50 (define @t4548 () (=> @t4522 @t346)) % 1.31/1.50 (define @t4549 () (forall @t150 @t4548)) % 1.31/1.50 (define @t4550 () (=> tptp.exuEu @t4535)) % 1.31/1.50 (define @t4551 () (=> tptp.omega__Cong @t4550)) % 1.31/1.50 (define @t4552 () (tptp.setunion @t1)) % 1.31/1.50 (define @t4553 () (or @t4389 (= @t4552 @t4552))) % 1.31/1.50 (define @t4554 () (= @t2122 @t4552)) % 1.31/1.50 (define @t4555 () (or @t445 @t445 @t4554)) % 1.31/1.50 (define @t4556 () (or @t445 @t4554)) % 1.31/1.50 (define @t4557 () (forall @t64 @t4556)) % 1.31/1.50 (define @t4558 () (forall @t41 @t4557)) % 1.31/1.50 (define @t4559 () (forall @t4403 @t4556)) % 1.31/1.50 (define @t4560 () (or @t445 @t398)) % 1.31/1.50 (define @t4561 () (=> tptp.setunion__Cong @t4551)) % 1.31/1.50 (define @t4562 () (or @t4389 (= @t2263 @t2263))) % 1.31/1.50 (define @t4563 () (= @t1594 @t2263)) % 1.31/1.50 (define @t4564 () (or @t445 @t445 @t4563)) % 1.31/1.50 (define @t4565 () (or @t445 @t4563)) % 1.31/1.50 (define @t4566 () (forall @t64 @t4565)) % 1.31/1.50 (define @t4567 () (forall @t41 @t4566)) % 1.31/1.50 (define @t4568 () (forall @t4403 @t4565)) % 1.31/1.50 (define @t4569 () (or @t445 @t394)) % 1.31/1.50 (define @t4570 () (=> tptp.powerset__Cong @t4561)) % 1.31/1.50 (define @t4571 () (@var "BOUND_VARIABLE_10808" $$unsorted)) % 1.31/1.50 (define @t4572 () (@list @t19 @t4571)) % 1.31/1.50 (define @t4573 () (tptp.setadjoin @t19 @t4571)) % 1.31/1.50 (define @t4574 () (or @t4045 (= @t4573 @t4573))) % 1.31/1.50 (define @t4575 () (= @t4573 (tptp.setadjoin @t4 @t4571))) % 1.31/1.50 (define @t4576 () (or @t282 @t282 @t4575)) % 1.31/1.50 (define @t4577 () (or @t282 @t4575)) % 1.31/1.50 (define @t4578 () (forall @t9 @t4577)) % 1.31/1.50 (define @t4579 () (forall @t4572 @t4578)) % 1.31/1.50 (define @t4580 () (forall (@list @t19 @t4571 @t4) @t4577)) % 1.31/1.50 (define @t4581 () (forall (@list @t4 @t19 @t4571) @t4577)) % 1.31/1.50 (define @t4582 () (@list @t4571)) % 1.31/1.50 (define @t4583 () (forall @t4582 @t4577)) % 1.31/1.50 (define @t4584 () (forall @t4582 @t4575)) % 1.31/1.50 (define @t4585 () (or @t282 @t4584)) % 1.31/1.50 (define @t4586 () (tptp.setadjoin @t4 @t383)) % 1.31/1.50 (define @t4587 () (tptp.setadjoin @t19 @t383)) % 1.31/1.50 (define @t4588 () (= @t4587 @t4586)) % 1.31/1.50 (define @t4589 () (forall @t756 @t4588)) % 1.31/1.50 (define @t4590 () (or @t4035 (= @t4586 @t4587))) % 1.31/1.50 (define @t4591 () (tptp.setadjoin @t4 @t289)) % 1.31/1.50 (define @t4592 () (= @t4591 @t4587)) % 1.31/1.50 (define @t4593 () (or @t4037 @t4037 @t4592)) % 1.31/1.50 (define @t4594 () (or @t4037 @t4592)) % 1.31/1.50 (define @t4595 () (forall @t1065 @t4594)) % 1.31/1.50 (define @t4596 () (forall @t756 @t4595)) % 1.31/1.50 (define @t4597 () (forall (@list @t383 @t289) @t4594)) % 1.31/1.50 (define @t4598 () (or @t4037 @t386)) % 1.31/1.50 (define @t4599 () (=> tptp.setadjoin__Cong @t4570)) % 1.31/1.50 (define @t4600 () (=> tptp.emptyset__Cong @t4599)) % 1.31/1.50 (define @t4601 () (= @t4522 @t4509)) % 1.31/1.50 (define @t4602 () (=> @t376 @t4601)) % 1.31/1.50 (define @t4603 () (forall @t378 @t4602)) % 1.31/1.50 (define @t4604 () (=> tptp.exu__Cong @t4600)) % 1.31/1.50 (define @t4605 () (=> tptp.exuE3u @t4604)) % 1.31/1.50 (define @t4606 () (@var "BOUND_VARIABLE_10682" $$unsorted)) % 1.31/1.50 (define @t4607 () (@list @t1 @t4606)) % 1.31/1.50 (define @t4608 () (tptp.in @t4606 @t1)) % 1.31/1.50 (define @t4609 () (or @t4389 (= @t4608 @t4608))) % 1.31/1.50 (define @t4610 () (= (tptp.in @t4606 @t2) @t4608)) % 1.31/1.50 (define @t4611 () (or @t445 @t445 @t4610)) % 1.31/1.50 (define @t4612 () (or @t445 @t4610)) % 1.31/1.50 (define @t4613 () (forall @t64 @t4612)) % 1.31/1.50 (define @t4614 () (forall @t4607 @t4613)) % 1.31/1.50 (define @t4615 () (forall (@list @t1 @t4606 @t2) @t4612)) % 1.31/1.50 (define @t4616 () (forall (@list @t2 @t1 @t4606) @t4612)) % 1.31/1.50 (define @t4617 () (@list @t4606)) % 1.31/1.50 (define @t4618 () (forall @t4617 @t4612)) % 1.31/1.50 (define @t4619 () (forall @t4617 @t4610)) % 1.31/1.50 (define @t4620 () (or @t445 @t4619)) % 1.31/1.50 (define @t4621 () (= @t2104 @t1989)) % 1.31/1.50 (define @t4622 () (forall @t70 @t4621)) % 1.31/1.50 (define @t4623 () (or @t4045 @t4621)) % 1.31/1.50 (define @t4624 () (= @t1729 @t1989)) % 1.31/1.50 (define @t4625 () (or @t282 @t282 @t4624)) % 1.31/1.50 (define @t4626 () (or @t282 @t4624)) % 1.31/1.50 (define @t4627 () (forall @t9 @t4626)) % 1.31/1.50 (define @t4628 () (forall @t70 @t4627)) % 1.31/1.50 (define @t4629 () (forall @t4053 @t4626)) % 1.31/1.50 (define @t4630 () (or @t282 @t360)) % 1.31/1.50 (define @t4631 () (=> tptp.in__Cong @t4605)) % 1.31/1.50 (define @t4632 () (@var "BOUND_VARIABLE_10645" $$unsorted)) % 1.31/1.50 (define @t4633 () (@list @t1 @t4632)) % 1.31/1.50 (define @t4634 () (tptp.in @t4632 @t1)) % 1.31/1.50 (define @t4635 () (not @t4634)) % 1.31/1.50 (define @t4636 () (or @t4635 @t4634)) % 1.31/1.50 (define @t4637 () (or @t4389 @t4635 @t4634)) % 1.31/1.50 (define @t4638 () (not (tptp.in @t4632 @t2))) % 1.31/1.50 (define @t4639 () (or @t445 @t445 @t4638 @t4634)) % 1.31/1.50 (define @t4640 () (or @t445 @t4638 @t4634)) % 1.31/1.50 (define @t4641 () (forall @t64 @t4640)) % 1.31/1.50 (define @t4642 () (forall @t4633 @t4641)) % 1.31/1.50 (define @t4643 () (forall (@list @t1 @t4632 @t2) @t4640)) % 1.31/1.50 (define @t4644 () (@list @t2 @t1 @t4632)) % 1.31/1.50 (define @t4645 () (or @t4638 @t4634)) % 1.31/1.50 (define @t4646 () (or @t445 @t4645)) % 1.31/1.50 (define @t4647 () (forall @t4644 @t4646)) % 1.31/1.50 (define @t4648 () (@list @t4632)) % 1.31/1.50 (define @t4649 () (forall @t4648 @t4646)) % 1.31/1.50 (define @t4650 () (forall @t4648 @t4645)) % 1.31/1.50 (define @t4651 () (or @t445 @t4650)) % 1.31/1.50 (define @t4652 () (or @t2105 @t1989)) % 1.31/1.50 (define @t4653 () (forall @t70 @t4652)) % 1.31/1.50 (define @t4654 () (or @t4045 @t2105 @t1989)) % 1.31/1.50 (define @t4655 () (or @t282 @t282 @t1730 @t1989)) % 1.31/1.50 (define @t4656 () (or @t282 @t1730 @t1989)) % 1.31/1.50 (define @t4657 () (forall @t9 @t4656)) % 1.31/1.50 (define @t4658 () (forall @t70 @t4657)) % 1.31/1.50 (define @t4659 () (forall @t4053 @t4656)) % 1.31/1.50 (define @t4660 () (or @t282 @t197 @t354)) % 1.31/1.50 (define @t4661 () (=> tptp.inCongP @t4631)) % 1.31/1.50 (define @t4662 () (= @t2341 @t19)) % 1.31/1.50 (define @t4663 () (forall @t70 (= @t4662 @t2102))) % 1.31/1.50 (define @t4664 () (not @t4663)) % 1.31/1.50 (define @t4665 () (or @t4664 @t2338)) % 1.31/1.50 (define @t4666 () (forall @t2342 @t4665)) % 1.31/1.50 (define @t4667 () (@list @t2341)) % 1.31/1.50 (define @t4668 () (forall @t4667 @t4665)) % 1.31/1.50 (define @t4669 () (forall @t4667 @t4664)) % 1.31/1.50 (define @t4670 () (or @t4669 @t2338)) % 1.31/1.50 (define @t4671 () (= @t153 @t129)) % 1.31/1.50 (define @t4672 () (=> @t265 @t4522)) % 1.31/1.50 (define @t4673 () (forall @t150 @t4672)) % 1.31/1.50 (define @t4674 () (=> tptp.exuI2 @t4661)) % 1.31/1.50 (define @t4675 () (@list @t2346)) % 1.31/1.50 (define @t4676 () (forall @t4675 @t2348)) % 1.31/1.50 (define @t4677 () (forall @t4675 @t2347)) % 1.31/1.50 (define @t4678 () (or @t4677 @t2345 @t2338)) % 1.31/1.50 (define @t4679 () (or @t2456 @t2345 @t2338)) % 1.31/1.50 (define @t4680 () (=> @t2344 @t2338)) % 1.31/1.50 (define @t4681 () (=> @t346 @t4522)) % 1.31/1.50 (define @t4682 () (forall @t9 @t317)) % 1.31/1.50 (define @t4683 () (not @t4682)) % 1.31/1.50 (define @t4684 () (=> @t186 @t4681)) % 1.31/1.50 (define @t4685 () (forall @t150 @t4684)) % 1.31/1.50 (define @t4686 () (=> tptp.exuI3 @t4674)) % 1.31/1.50 (define @t4687 () (=> @t169 @t4522)) % 1.31/1.50 (define @t4688 () (forall @t150 @t4687)) % 1.31/1.50 (define @t4689 () (=> tptp.exuI1 @t4686)) % 1.31/1.50 (define @t4690 () (forall @t9 (or @t1730 @t2093))) % 1.31/1.50 (define @t4691 () (not @t4690)) % 1.31/1.50 (define @t4692 () (or @t197 @t144)) % 1.31/1.50 (define @t4693 () (forall @t9 (not @t318))) % 1.31/1.50 (define @t4694 () (not @t4693)) % 1.31/1.50 (define @t4695 () (=> tptp.notdallE @t4689)) % 1.31/1.50 (define @t4696 () (=> tptp.notdexE @t4695)) % 1.31/1.50 (define @t4697 () (or @t3288 @t2352)) % 1.31/1.50 (define @t4698 () (tptp.prop2set @t173)) % 1.31/1.50 (define @t4699 () (tptp.set2prop @t4698)) % 1.31/1.50 (define @t4700 () (or @t1061 @t1061 @t4699)) % 1.31/1.50 (define @t4701 () (or @t1061 @t4699)) % 1.31/1.50 (define @t4702 () (or @t1061 @t339)) % 1.31/1.50 (define @t4703 () (=> tptp.prop2set2propI @t4696)) % 1.31/1.50 (define @t4704 () (or @t3288 @t2354)) % 1.31/1.50 (define @t4705 () (tptp.in tptp.emptyset @t4698)) % 1.31/1.50 (define @t4706 () (or @t1061 @t1061 @t4705)) % 1.31/1.50 (define @t4707 () (or @t1061 @t4705)) % 1.31/1.50 (define @t4708 () (or @t1061 @t336)) % 1.31/1.50 (define @t4709 () (=> tptp.prop2setI @t4703)) % 1.31/1.50 (define @t4710 () (=> tptp.quantDeMorgan4 @t4709)) % 1.31/1.50 (define @t4711 () (=> tptp.quantDeMorgan3 @t4710)) % 1.31/1.50 (define @t4712 () (=> tptp.quantDeMorgan2 @t4711)) % 1.31/1.50 (define @t4713 () (=> tptp.quantDeMorgan1 @t4712)) % 1.31/1.50 (define @t4714 () (or @t16 @t144)) % 1.31/1.50 (define @t4715 () (=> tptp.vacuousDall @t4713)) % 1.31/1.50 (define @t4716 () (or @t2362 @t2361)) % 1.31/1.50 (define @t4717 () (or @t4716 @t2363)) % 1.31/1.50 (define @t4718 () (forall @t2365 @t4717)) % 1.31/1.50 (define @t4719 () (@list @t2360)) % 1.31/1.50 (define @t4720 () (forall @t4719 @t4717)) % 1.31/1.50 (define @t4721 () (forall @t4719 @t4716)) % 1.31/1.50 (define @t4722 () (or @t4721 @t2363)) % 1.31/1.50 (define @t4723 () (= tptp.emptyset @t3792)) % 1.31/1.50 (define @t4724 () (not @t4723)) % 1.31/1.50 (define @t4725 () (or @t2109 @t4724)) % 1.31/1.50 (define @t4726 () (= tptp.emptyset @t306)) % 1.31/1.50 (define @t4727 () (not @t4726)) % 1.31/1.50 (define @t4728 () (or @t2109 @t4727)) % 1.31/1.50 (define @t4729 () (=> tptp.emptyE1 @t4715)) % 1.31/1.50 (define @t4730 () (=> tptp.upairsetIR @t4729)) % 1.31/1.50 (define @t4731 () (=> tptp.upairsetIL @t4730)) % 1.31/1.50 (define @t4732 () (=> tptp.upairsetE @t4731)) % 1.31/1.50 (define @t4733 () (not @t276)) % 1.31/1.50 (define @t4734 () (or @t4733 @t280)) % 1.31/1.50 (define @t4735 () (=> tptp.singletonsswitch @t4732)) % 1.31/1.50 (define @t4736 () (or @t4045 @t2378)) % 1.31/1.50 (define @t4737 () (or @t282 @t282 @t2374)) % 1.31/1.50 (define @t4738 () (or @t282 @t2374)) % 1.31/1.50 (define @t4739 () (forall @t9 @t4738)) % 1.31/1.50 (define @t4740 () (forall @t70 @t4739)) % 1.31/1.50 (define @t4741 () (forall @t4053 @t4738)) % 1.31/1.50 (define @t4742 () (or @t282 @t276)) % 1.31/1.50 (define @t4743 () (=> tptp.eqinunit @t4735)) % 1.31/1.50 (define @t4744 () (or @t129 @t281)) % 1.31/1.50 (define @t4745 () (=> tptp.notinsingleton @t4743)) % 1.31/1.50 (define @t4746 () (or @t4733 @t129)) % 1.31/1.50 (define @t4747 () (=> tptp.uniqinunit @t4745)) % 1.31/1.50 (define @t4748 () (not @t196)) % 1.31/1.50 (define @t4749 () (not @t198)) % 1.31/1.50 (define @t4750 () (_ @t1585 @t2)) % 1.31/1.50 (define @t4751 () (=> @t4750 @t270)) % 1.31/1.50 (define @t4752 () (forall @t64 @t4751)) % 1.31/1.50 (define @t4753 () (=> tptp.nonemptyImpWitness @t4747)) % 1.31/1.50 (define @t4754 () (or @t2103 (= @t2389 @t19))) % 1.31/1.50 (define @t4755 () (forall @t70 @t4754)) % 1.31/1.50 (define @t4756 () (not @t4755)) % 1.31/1.50 (define @t4757 () (or @t2393 @t2390 @t4756)) % 1.31/1.50 (define @t4758 () (or @t2390 @t4756)) % 1.31/1.50 (define @t4759 () (or @t4758 @t2393)) % 1.31/1.50 (define @t4760 () (forall @t2394 @t4759)) % 1.31/1.50 (define @t4761 () (@list @t2389)) % 1.31/1.50 (define @t4762 () (forall @t4761 @t4759)) % 1.31/1.50 (define @t4763 () (forall @t4761 @t4758)) % 1.31/1.50 (define @t4764 () (or @t4763 @t2393)) % 1.31/1.50 (define @t4765 () (=> @t4522 @t265)) % 1.31/1.50 (define @t4766 () (forall @t150 @t4765)) % 1.31/1.50 (define @t4767 () (=> tptp.exuE2 @t4753)) % 1.31/1.50 (define @t4768 () (or @t197 @t260)) % 1.31/1.50 (define @t4769 () (=> tptp.subPowSU @t4767)) % 1.31/1.50 (define @t4770 () (or @t4139 @t2404)) % 1.31/1.50 (define @t4771 () (and @t3443 @t2404)) % 1.31/1.50 (define @t4772 () (or @t4771 false)) % 1.31/1.50 (define @t4773 () (and @t1061 @t2404)) % 1.31/1.50 (define @t4774 () (or @t173 @t4773 @t173)) % 1.31/1.50 (define @t4775 () (or @t4773 @t173)) % 1.31/1.50 (define @t4776 () (or @t173 @t2403)) % 1.31/1.50 (define @t4777 () (not @t39)) % 1.31/1.50 (define @t4778 () (or @t437 @t4777)) % 1.31/1.50 (define @t4779 () (forall @t41 @t4778)) % 1.31/1.50 (define @t4780 () (or @t173 @t4779)) % 1.31/1.50 (define @t4781 () (or @t173 @t4778)) % 1.31/1.50 (define @t4782 () (or @t437 @t4777 @t173)) % 1.31/1.50 (define @t4783 () (=> tptp.setunionE @t4769)) % 1.31/1.50 (define @t4784 () (or @t437 @t4777 @t44)) % 1.31/1.50 (define @t4785 () (=> tptp.setunionI @t4783)) % 1.31/1.50 (define @t4786 () (or @t4368 @t437 @t7)) % 1.31/1.50 (define @t4787 () (or @t437 @t7)) % 1.31/1.50 (define @t4788 () (=> tptp.powersetE @t4785)) % 1.31/1.50 (define @t4789 () (=> tptp.emptyInPowerset @t4788)) % 1.31/1.50 (define @t4790 () (=> tptp.emptyinPowerset @t4789)) % 1.31/1.50 (define @t4791 () (or @t2416 @t35)) % 1.31/1.50 (define @t4792 () (=> tptp.powersetI @t4790)) % 1.31/1.50 (define @t4793 () (_ @t155 @t2420)) % 1.31/1.50 (define @t4794 () (= @t2 @t4793)) % 1.31/1.50 (define @t4795 () (=> tptp.setoftrueEq @t4792)) % 1.31/1.50 (define @t4796 () (not @t26)) % 1.31/1.50 (define @t4797 () (or @t4796 @t129 @t21)) % 1.31/1.50 (define @t4798 () (or @t129 @t21)) % 1.31/1.50 (define @t4799 () (=> tptp.setadjoinOr @t4795)) % 1.31/1.50 (define @t4800 () (or @t4796 @t129 @t2104)) % 1.31/1.50 (define @t4801 () (and @t2104 @t3443)) % 1.31/1.50 (define @t4802 () (and @t129 @t3443)) % 1.31/1.50 (define @t4803 () (or @t4802 @t4801)) % 1.31/1.50 (define @t4804 () (or @t4802 @t4801 false)) % 1.31/1.50 (define @t4805 () (and @t2104 @t1061)) % 1.31/1.50 (define @t4806 () (and @t129 @t1061)) % 1.31/1.50 (define @t4807 () (or @t173 @t4806 @t4805 @t173)) % 1.31/1.50 (define @t4808 () (or @t4806 @t4805 @t173)) % 1.31/1.50 (define @t4809 () (and @t21 @t1061)) % 1.31/1.50 (define @t4810 () (or @t4806 @t4809 @t173)) % 1.31/1.50 (define @t4811 () (=> @t129 @t173)) % 1.31/1.50 (define @t4812 () (=> tptp.setadjoinE @t4799)) % 1.31/1.50 (define @t4813 () (or @t3257 @t26)) % 1.31/1.50 (define @t4814 () (=> tptp.setadjoinIR @t4812)) % 1.31/1.50 (define @t4815 () (=> tptp.emptyinunitempty @t4814)) % 1.31/1.50 (define @t4816 () (=> tptp.setadjoinIL @t4815)) % 1.31/1.50 (define @t4817 () (not @t381)) % 1.31/1.50 (define @t4818 () (or @t2438 @t4817)) % 1.31/1.50 (define @t4819 () (not (tptp.in @t2437 @t2))) % 1.31/1.50 (define @t4820 () (or @t4748 @t4819 @t4748)) % 1.31/1.50 (define @t4821 () (or @t4819 @t4748)) % 1.31/1.50 (define @t4822 () (forall @t64 @t4821)) % 1.31/1.50 (define @t4823 () (forall @t2439 @t4822)) % 1.31/1.50 (define @t4824 () (forall (@list @t2437 @t2) @t4821)) % 1.31/1.50 (define @t4825 () (forall (@list @t2 @t2437) @t4821)) % 1.31/1.50 (define @t4826 () (forall @t2439 @t4821)) % 1.31/1.50 (define @t4827 () (forall @t2439 @t4819)) % 1.31/1.50 (define @t4828 () (or @t4827 @t4748)) % 1.31/1.50 (define @t4829 () (not @t2386)) % 1.31/1.50 (define @t4830 () (=> @t89 @t4750)) % 1.31/1.50 (define @t4831 () (forall @t64 @t4830)) % 1.31/1.50 (define @t4832 () (=> tptp.nonemptyI1 @t4816)) % 1.31/1.50 (define @t4833 () (lambda @t70 @t2102)) % 1.31/1.50 (define @t4834 () (tptp.dsetconstr @t2 @t4833)) % 1.31/1.50 (define @t4835 () (= tptp.emptyset @t4834)) % 1.31/1.50 (define @t4836 () (not @t4835)) % 1.31/1.50 (define @t4837 () (or @t1730 @t2094 @t4836)) % 1.31/1.50 (define @t4838 () (= tptp.emptyset @t156)) % 1.31/1.50 (define @t4839 () (not @t4838)) % 1.31/1.50 (define @t4840 () (or @t197 @t317 @t4839)) % 1.31/1.50 (define @t4841 () (=> @t144 @t4839)) % 1.31/1.50 (define @t4842 () (not (= @t156 tptp.emptyset))) % 1.31/1.50 (define @t4843 () (_ @t1585 @t156)) % 1.31/1.50 (define @t4844 () (=> @t144 @t4843)) % 1.31/1.50 (define @t4845 () (=> @t7 @t4844)) % 1.31/1.50 (define @t4846 () (forall @t159 @t4845)) % 1.31/1.50 (define @t4847 () (=> tptp.nonemptyI @t4832)) % 1.31/1.50 (define @t4848 () (=> @t4750 @t89)) % 1.31/1.50 (define @t4849 () (forall @t64 @t4848)) % 1.31/1.50 (define @t4850 () (=> tptp.nonemptyE1 @t4847)) % 1.31/1.50 (define @t4851 () (tptp.in @t4 @t4834)) % 1.31/1.50 (define @t4852 () (= @t2093 @t4851)) % 1.31/1.50 (define @t4853 () (or @t1730 @t4852)) % 1.31/1.50 (define @t4854 () (= @t144 @t157)) % 1.31/1.50 (define @t4855 () (or @t197 @t4854)) % 1.31/1.50 (define @t4856 () (=> tptp.setbeta @t4850)) % 1.31/1.50 (define @t4857 () (=> tptp.noeltsimpempty @t4856)) % 1.31/1.50 (define @t4858 () (=> tptp.emptyI @t4857)) % 1.31/1.50 (define @t4859 () (=> @t2415 @t3)) % 1.31/1.50 (define @t4860 () (=> tptp.setext @t4858)) % 1.31/1.50 (define @t4861 () (or @t2103 (= @t2454 @t19))) % 1.31/1.50 (define @t4862 () (forall @t70 @t4861)) % 1.31/1.50 (define @t4863 () (not @t4862)) % 1.31/1.50 (define @t4864 () (or @t2457 @t2455 @t4863)) % 1.31/1.50 (define @t4865 () (or @t2455 @t4863)) % 1.31/1.50 (define @t4866 () (or @t4865 @t2457)) % 1.31/1.50 (define @t4867 () (forall @t2458 @t4866)) % 1.31/1.50 (define @t4868 () (@list @t2454)) % 1.31/1.50 (define @t4869 () (forall @t4868 @t4866)) % 1.31/1.50 (define @t4870 () (forall @t4868 @t4865)) % 1.31/1.50 (define @t4871 () (or @t4870 @t2457)) % 1.31/1.51 (define @t4872 () (=> @t4522 @t186)) % 1.31/1.51 (define @t4873 () (forall @t150 @t4872)) % 1.31/1.51 (define @t4874 () (=> tptp.exuE3e @t4860)) % 1.31/1.51 (define @t4875 () (=> tptp.notinemptyset @t4874)) % 1.31/1.51 (define @t4876 () (=> tptp.emptysetimpfalse @t4875)) % 1.31/1.51 (define @t4877 () (or @t173 @t173)) % 1.31/1.51 (define @t4878 () (=> tptp.emptysetE @t4876)) % 1.31/1.51 (define @t4879 () (or @t2465 false)) % 1.31/1.51 (define @t4880 () (tptp.in @t4 @t4698)) % 1.31/1.51 (define @t4881 () (not @t4880)) % 1.31/1.51 (define @t4882 () (or @t173 @t4881 @t173)) % 1.31/1.51 (define @t4883 () (or @t4881 @t173)) % 1.31/1.51 (define @t4884 () (forall @t179 @t4883)) % 1.31/1.51 (define @t4885 () (forall @t9 @t4884)) % 1.31/1.51 (define @t4886 () (forall (@list @t4 @t173) @t4883)) % 1.31/1.51 (define @t4887 () (not @t175)) % 1.31/1.51 (define @t4888 () (or @t4887 @t173)) % 1.31/1.51 (define @t4889 () (=> tptp.prop2setE @t4878)) % 1.31/1.51 (define @t4890 () (=> @t4522 @t169)) % 1.31/1.51 (define @t4891 () (forall @t150 @t4890)) % 1.31/1.51 (define @t4892 () (=> tptp.exuE1 @t4889)) % 1.31/1.51 (define @t4893 () (not @t4851)) % 1.31/1.51 (define @t4894 () (or @t4893 @t2093)) % 1.31/1.51 (define @t4895 () (not @t157)) % 1.31/1.51 (define @t4896 () (or @t4895 @t144)) % 1.31/1.51 (define @t4897 () (=> tptp.dsetconstrER @t4892)) % 1.31/1.51 (define @t4898 () (or @t4893 @t1729)) % 1.31/1.51 (define @t4899 () (or @t4895 @t7)) % 1.31/1.51 (define @t4900 () (=> tptp.dsetconstrEL @t4897)) % 1.31/1.51 (define @t4901 () (or @t1730 @t2094 @t4851)) % 1.31/1.51 (define @t4902 () (or @t197 @t317 @t157)) % 1.31/1.51 (define @t4903 () (=> tptp.dsetconstrI @t4900)) % 1.31/1.51 (define @t4904 () (or @t2103 (= @t2475 @t19))) % 1.31/1.51 (define @t4905 () (forall @t70 @t4904)) % 1.31/1.51 (define @t4906 () (not @t4905)) % 1.31/1.51 (define @t4907 () (or @t2477 @t2476 @t4906)) % 1.31/1.51 (define @t4908 () (or @t2476 @t4906)) % 1.31/1.51 (define @t4909 () (or @t4908 @t2477)) % 1.31/1.51 (define @t4910 () (forall @t2478 @t4909)) % 1.31/1.51 (define @t4911 () (@list @t2475)) % 1.31/1.51 (define @t4912 () (forall @t4911 @t4909)) % 1.31/1.51 (define @t4913 () (forall @t4911 @t4908)) % 1.31/1.51 (define @t4914 () (or @t4913 @t2477)) % 1.31/1.51 (define @t4915 () (_ @t143 @t4486)) % 1.31/1.51 (define @t4916 () (or @t2337 @t4915)) % 1.31/1.51 (define @t4917 () (or @t2337 @t147)) % 1.31/1.51 (define @t4918 () (=> @t4522 @t147)) % 1.31/1.51 (define @t4919 () (forall @t150 @t4918)) % 1.31/1.51 (define @t4920 () (=> tptp.descrp @t4903)) % 1.31/1.51 (define @t4921 () (and @t2528 @t2521 @t2517 @t2505)) % 1.31/1.51 (define @t4922 () (forall @t41 (not @t4921))) % 1.31/1.51 (define @t4923 () (not @t4922)) % 1.31/1.51 (define @t4924 () (@list @t2500)) % 1.31/1.51 (define @t4925 () (forall @t4924 @t2504)) % 1.31/1.51 (define @t4926 () (forall @t4924 @t2501)) % 1.31/1.51 (define @t4927 () (or @t2503 @t4926 @t2499)) % 1.31/1.51 (define @t4928 () (forall @t9 @t2496)) % 1.31/1.51 (define @t4929 () (or @t2503 @t4928 @t2499)) % 1.31/1.51 (define @t4930 () (not @t4928)) % 1.31/1.51 (define @t4931 () (and @t2502 @t4930)) % 1.31/1.51 (define @t4932 () (not @t109)) % 1.31/1.51 (define @t4933 () (not @t110)) % 1.31/1.51 (define @t4934 () (or @t4933 @t4932 @t2494 @t2490)) % 1.31/1.51 (define @t4935 () (and @t110 @t109 @t2493 @t2489)) % 1.31/1.51 (define @t4936 () (forall @t112 (not @t4935))) % 1.31/1.51 (define @t4937 () (not @t4936)) % 1.31/1.51 (define @t4938 () (or @t2483 @t2482)) % 1.31/1.51 (define @t4939 () (or @t2486 @t4938 @t2484)) % 1.31/1.51 (define @t4940 () (forall @t2488 @t4939)) % 1.31/1.51 (define @t4941 () (@list @t2481)) % 1.31/1.51 (define @t4942 () (forall @t4941 @t4939)) % 1.31/1.51 (define @t4943 () (forall @t4941 @t4938)) % 1.31/1.51 (define @t4944 () (or @t2486 @t4943 @t2484)) % 1.31/1.51 (define @t4945 () (tptp.in @t19 @t93)) % 1.31/1.51 (define @t4946 () (forall @t70 (or (not @t4945) @t2492))) % 1.31/1.51 (define @t4947 () (not @t100)) % 1.31/1.51 (define @t4948 () (or @t4947 @t4946 @t94)) % 1.31/1.51 (define @t4949 () (or @t4946 @t94)) % 1.31/1.51 (define @t4950 () (not @t97)) % 1.31/1.51 (define @t4951 () (or @t4950 @t96)) % 1.31/1.51 (define @t4952 () (not @t105)) % 1.31/1.51 (define @t4953 () (not @t96)) % 1.31/1.51 (define @t4954 () (or @t4953 @t4952)) % 1.31/1.51 (define @t4955 () (forall @t70 (not @t106))) % 1.31/1.51 (define @t4956 () (not @t4955)) % 1.31/1.51 (define @t4957 () (forall @t9 @t4932)) % 1.31/1.51 (define @t4958 () (not @t4957)) % 1.31/1.51 (define @t4959 () (or @t4932 @t7)) % 1.31/1.51 (define @t4960 () (or @t2509 @t2508)) % 1.31/1.51 (define @t4961 () (or @t2512 @t2511)) % 1.31/1.51 (define @t4962 () (or @t2514 @t2498 @t4961 @t4960)) % 1.31/1.51 (define @t4963 () (forall @t2516 @t4962)) % 1.31/1.51 (define @t4964 () (forall (@list @t2510 @t2507) @t4962)) % 1.31/1.51 (define @t4965 () (forall (@list @t2507) @t4960)) % 1.31/1.51 (define @t4966 () (forall (@list @t2510) @t4961)) % 1.31/1.51 (define @t4967 () (or @t2514 @t2498 @t4966 @t4965)) % 1.31/1.51 (define @t4968 () (tptp.in @t4 @t95)) % 1.31/1.51 (define @t4969 () (forall @t9 (or (not @t4968) @t2495))) % 1.31/1.51 (define @t4970 () (forall @t9 (or @t2496 @t4968))) % 1.31/1.51 (define @t4971 () (not @t124)) % 1.31/1.51 (define @t4972 () (or @t4971 @t4933 @t4970 @t4969)) % 1.31/1.51 (define @t4973 () (or @t4970 @t4969)) % 1.31/1.51 (define @t4974 () (not @t120)) % 1.31/1.51 (define @t4975 () (or @t4974 @t109)) % 1.31/1.51 (define @t4976 () (or @t4932 @t120)) % 1.31/1.51 (define @t4977 () (or @t197 @t3257 @t2520 @t129)) % 1.31/1.51 (define @t4978 () (=> @t2519 @t129)) % 1.31/1.51 (define @t4979 () (or @t4971 @t130)) % 1.31/1.51 (define @t4980 () (or @t2525 @t2524)) % 1.31/1.51 (define @t4981 () (or @t2514 @t4980)) % 1.31/1.51 (define @t4982 () (forall @t2527 @t4981)) % 1.31/1.51 (define @t4983 () (@list @t2523)) % 1.31/1.51 (define @t4984 () (forall @t4983 @t4981)) % 1.31/1.51 (define @t4985 () (forall @t4983 @t4980)) % 1.31/1.51 (define @t4986 () (or @t2514 @t4985)) % 1.31/1.51 (define @t4987 () (or @t4971 @t2502)) % 1.31/1.51 (define @t4988 () (=> tptp.wellorderingAx @t4920)) % 1.31/1.51 (define @t4989 () (@list @t2536)) % 1.31/1.51 (define @t4990 () (forall @t4989 @t2538)) % 1.31/1.51 (define @t4991 () (forall @t4989 @t2537)) % 1.31/1.51 (define @t4992 () (or @t4991 @t2535)) % 1.31/1.51 (define @t4993 () (or @t4777 @t2534)) % 1.31/1.51 (define @t4994 () (and @t39 @t2533)) % 1.31/1.51 (define @t4995 () (forall @t41 (not @t4994))) % 1.31/1.51 (define @t4996 () (not @t4995)) % 1.31/1.51 (define @t4997 () (or @t437 @t197)) % 1.31/1.51 (define @t4998 () (forall @t9 (not @t84))) % 1.31/1.51 (define @t4999 () (not @t4998)) % 1.31/1.51 (define @t5000 () (=> tptp.foundationAx @t4988)) % 1.31/1.51 (define @t5001 () (= @t6 @t2542)) % 1.31/1.51 (define @t5002 () (not @t68)) % 1.31/1.51 (define @t5003 () (or @t3257 @t5002)) % 1.31/1.51 (define @t5004 () (forall @t70 (not @t69))) % 1.31/1.51 (define @t5005 () (not @t5004)) % 1.31/1.51 (define @t5006 () (or @t197 @t2551)) % 1.31/1.51 (define @t5007 () (_ @t75 @t2545)) % 1.31/1.51 (define @t5008 () (not @t5007)) % 1.31/1.51 (define @t5009 () (or @t5008 @t2548)) % 1.31/1.51 (define @t5010 () (or @t3978 @t2546)) % 1.31/1.51 (define @t5011 () (_ @t77 @t19)) % 1.31/1.51 (define @t5012 () (not @t5011)) % 1.31/1.51 (define @t5013 () (or @t5012 @t2546)) % 1.31/1.51 (define @t5014 () (forall @t70 @t5013)) % 1.31/1.51 (define @t5015 () (not @t5014)) % 1.31/1.51 (define @t5016 () (_ @t77 @t2545)) % 1.31/1.51 (define @t5017 () (not @t5016)) % 1.31/1.51 (define @t5018 () (or @t5017 @t5015)) % 1.31/1.51 (define @t5019 () (forall @t2550 @t5018)) % 1.31/1.51 (define @t5020 () (not @t5019)) % 1.31/1.51 (define @t5021 () (not (_ @t143 @t2545))) % 1.31/1.51 (define @t5022 () (or @t2103 (= @t2545 @t19))) % 1.31/1.51 (define @t5023 () (forall @t70 @t5022)) % 1.31/1.51 (define @t5024 () (not @t5023)) % 1.31/1.51 (define @t5025 () (or @t5021 @t5024)) % 1.31/1.51 (define @t5026 () (forall @t2550 @t5025)) % 1.31/1.51 (define @t5027 () (not @t5026)) % 1.31/1.51 (define @t5028 () (=> @t7 (_ @t4508 @t77))) % 1.31/1.51 (define @t5029 () (forall @t9 @t5028)) % 1.31/1.51 (define @t5030 () (=> @t5029 @t74)) % 1.31/1.51 (define @t5031 () (forall @t81 @t5030)) % 1.31/1.51 (define @t5032 () (=> tptp.replAx @t5000)) % 1.31/1.51 (define @t5033 () (or @t2557 @t2556)) % 1.31/1.51 (define @t5034 () (or @t2565 @t2563 @t5033)) % 1.31/1.51 (define @t5035 () (forall @t2567 @t5034)) % 1.31/1.51 (define @t5036 () (@list @t2555)) % 1.31/1.51 (define @t5037 () (forall @t5036 @t5034)) % 1.31/1.51 (define @t5038 () (forall @t5036 @t5033)) % 1.31/1.51 (define @t5039 () (or @t2565 @t2563 @t5038)) % 1.31/1.51 (define @t5040 () (forall @t9 (or @t2561 @t1729))) % 1.31/1.51 (define @t5041 () (not @t61)) % 1.31/1.51 (define @t5042 () (or @t5041 @t2563 @t5040)) % 1.31/1.51 (define @t5043 () (and @t61 @t2562)) % 1.31/1.51 (define @t5044 () (not @t54)) % 1.31/1.51 (define @t5045 () (or @t5044 @t7)) % 1.31/1.51 (define @t5046 () (_ tptp.in @t2558)) % 1.31/1.51 (define @t5047 () (or @t5044 @t197 @t58)) % 1.31/1.51 (define @t5048 () (=> tptp.omegaIndAx @t5032)) % 1.31/1.51 (define @t5049 () (or @t5044 @t53)) % 1.31/1.51 (define @t5050 () (=> tptp.omegaSAx @t5048)) % 1.31/1.51 (define @t5051 () (=> tptp.omega0Ax @t5050)) % 1.31/1.51 (define @t5052 () (= @t44 @t2404)) % 1.31/1.51 (define @t5053 () (forall @t41 (not @t40))) % 1.31/1.51 (define @t5054 () (not @t5053)) % 1.31/1.51 (define @t5055 () (=> tptp.setunionAx @t5051)) % 1.31/1.51 (define @t5056 () (= @t35 @t2415)) % 1.31/1.51 (define @t5057 () (=> tptp.powersetAx @t5055)) % 1.31/1.51 (define @t5058 () (= @t26 @t4798)) % 1.31/1.51 (define @t5059 () (=> tptp.setadjoinAx @t5057)) % 1.31/1.51 (define @t5060 () (=> tptp.emptysetAx @t5059)) % 1.31/1.51 (define @t5061 () (=> tptp.setextAx @t5060)) % 1.31/1.51 (define @t5062 () (or @t1595 @t1593 @t1592 @t1590)) % 1.31/1.51 (define @t5063 () (or @t1597 @t5062)) % 1.31/1.51 (define @t5064 () (forall @t1599 @t5063)) % 1.31/1.51 (define @t5065 () (@list @t1591 @t1589)) % 1.31/1.51 (define @t5066 () (forall @t5065 @t5063)) % 1.31/1.51 (define @t5067 () (forall @t5065 @t5062)) % 1.31/1.51 (define @t5068 () (@var "BOUND_VARIABLE_14630" $$unsorted)) % 1.31/1.51 (define @t5069 () (or @t1597 @t5067)) % 1.31/1.51 (define @t5070 () (not (tptp.in @t5068 @t695))) % 1.31/1.51 (define @t5071 () (tptp.in @t5068 @t3226)) % 1.31/1.51 (define @t5072 () (not (tptp.in @t5068 @t2))) % 1.31/1.51 (define @t5073 () (or @t2804 @t5072 @t5071 @t5070)) % 1.31/1.51 (define @t5074 () (@list @t1129 @t5068)) % 1.31/1.51 (define @t5075 () (forall @t5074 @t5073)) % 1.31/1.51 (define @t5076 () (or @t2806 @t5075)) % 1.31/1.51 (define @t5077 () (or @t5072 @t5071 @t5070)) % 1.31/1.51 (define @t5078 () (or @t2804 @t5077)) % 1.31/1.51 (define @t5079 () (forall @t5074 @t5078)) % 1.31/1.51 (define @t5080 () (@list @t5068)) % 1.31/1.51 (define @t5081 () (forall @t5080 @t5078)) % 1.31/1.51 (define @t5082 () (forall @t5080 @t5077)) % 1.31/1.51 (define @t5083 () (or @t2804 @t5082)) % 1.31/1.51 (define @t5084 () (tptp.in @t4 @t3226)) % 1.31/1.51 (define @t5085 () (forall @t9 (or @t1730 @t5084 @t1728))) % 1.31/1.51 (define @t5086 () (or @t2809 @t5085)) % 1.31/1.51 (define @t5087 () (or @t197 @t1321 @t1213)) % 1.31/1.51 (define @t5088 () (@quantifiers_skolemize @t1600 1)) % 1.31/1.51 (define @t5089 () (@quantifiers_skolemize @t1600 3)) % 1.31/1.51 (define @t5090 () (tptp.in @t5089 @t5088)) % 1.31/1.51 (define @t5091 () (not @t5090)) % 1.31/1.51 (define @t5092 () (@quantifiers_skolemize @t1600 2)) % 1.31/1.51 (define @t5093 () (tptp.in @t5089 (tptp.binunion @t5088 @t5092))) % 1.31/1.51 (define @t5094 () (@quantifiers_skolemize @t1600 0)) % 1.31/1.51 (define @t5095 () (tptp.powerset @t5094)) % 1.31/1.51 (define @t5096 () (or (not (tptp.in @t5088 @t5095)) (not (tptp.in @t5092 @t5095)) (not (tptp.in @t5089 @t5094)) @t5093 @t5091)) % 1.31/1.51 (define @t5097 () (@list true)) % 1.31/1.51 (define @t5098 () (@list @t5096)) % 1.31/1.51 (define @t5099 () (or @t5091 @t5093)) % 1.31/1.51 (define @t5100 () (not @t5099)) % 1.31/1.51 (define @t5101 () (@list true false)) % 1.31/1.51 (assume @p1 @t14) % 1.31/1.51 (assume @p2 @t18) % 1.31/1.51 (assume @p3 @t30) % 1.31/1.51 (assume @p4 @t38) % 1.31/1.51 (assume @p5 @t48) % 1.31/1.51 (assume @p6 (= tptp.omega0Ax @t50)) % 1.31/1.51 (assume @p7 @t56) % 1.31/1.51 (assume @p8 @t66) % 1.31/1.51 (assume @p9 @t83) % 1.31/1.51 (assume @p10 @t92) % 1.31/1.51 (assume @p11 @t142) % 1.31/1.51 (assume @p12 @t152) % 1.31/1.51 (assume @p13 @t161) % 1.31/1.51 (assume @p14 @t163) % 1.31/1.51 (assume @p15 @t165) % 1.31/1.51 (assume @p16 @t172) % 1.31/1.51 (assume @p17 @t178) % 1.31/1.51 (assume @p18 @t183) % 1.31/1.51 (assume @p19 @t185) % 1.31/1.51 (assume @p20 (= tptp.notinemptyset @t17)) % 1.31/1.51 (assume @p21 @t189) % 1.31/1.51 (assume @p22 @t195) % 1.31/1.51 (assume @p23 @t201) % 1.31/1.51 (assume @p24 (= tptp.noeltsimpempty @t200)) % 1.31/1.51 (assume @p25 @t204) % 1.31/1.51 (assume @p26 @t208) % 1.31/1.51 (assume @p27 @t212) % 1.31/1.51 (assume @p28 @t215) % 1.31/1.51 (assume @p29 @t219) % 1.31/1.51 (assume @p30 (= tptp.emptyinunitempty @t221)) % 1.31/1.51 (assume @p31 @t223) % 1.31/1.51 (assume @p32 @t231) % 1.31/1.51 (assume @p33 @t234) % 1.31/1.51 (assume @p34 @t238) % 1.31/1.51 (assume @p35 @t241) % 1.31/1.51 (assume @p36 @t244) % 1.31/1.51 (assume @p37 (= tptp.emptyInPowerset @t243)) % 1.31/1.51 (assume @p38 @t247) % 1.31/1.51 (assume @p39 @t251) % 1.31/1.51 (assume @p40 @t258) % 1.31/1.51 (assume @p41 @t262) % 1.31/1.51 (assume @p42 @t268) % 1.31/1.51 (assume @p43 @t273) % 1.31/1.51 (assume @p44 @t278) % 1.31/1.51 (assume @p45 @t284) % 1.31/1.51 (assume @p46 @t286) % 1.31/1.51 (assume @p47 @t288) % 1.31/1.51 (assume @p48 @t299) % 1.31/1.51 (assume @p49 @t302) % 1.31/1.51 (assume @p50 @t305) % 1.31/1.51 (assume @p51 @t313) % 1.31/1.51 (assume @p52 @t316) % 1.31/1.51 (assume @p53 @t324) % 1.31/1.51 (assume @p54 @t329) % 1.31/1.51 (assume @p55 @t332) % 1.31/1.51 (assume @p56 @t335) % 1.31/1.51 (assume @p57 @t338) % 1.31/1.51 (assume @p58 @t341) % 1.31/1.51 (assume @p59 (= tptp.notdexE @t331)) % 1.31/1.51 (assume @p60 (= tptp.notdallE @t323)) % 1.31/1.51 (assume @p61 @t344) % 1.31/1.51 (assume @p62 @t350) % 1.31/1.51 (assume @p63 @t353) % 1.31/1.51 (assume @p64 @t359) % 1.31/1.51 (assume @p65 @t364) % 1.31/1.51 (assume @p66 @t367) % 1.31/1.51 (assume @p67 @t380) % 1.31/1.51 (assume @p68 @t382) % 1.31/1.51 (assume @p69 @t392) % 1.31/1.51 (assume @p70 @t396) % 1.31/1.51 (assume @p71 @t400) % 1.31/1.51 (assume @p72 @t401) % 1.31/1.51 (assume @p73 @t402) % 1.31/1.51 (assume @p74 @t409) % 1.31/1.51 (assume @p75 @t420) % 1.31/1.51 (assume @p76 @t425) % 1.31/1.51 (assume @p77 @t429) % 1.31/1.51 (assume @p78 @t431) % 1.31/1.51 (assume @p79 (= tptp.subsetI2 @t424)) % 1.31/1.51 (assume @p80 @t434) % 1.31/1.51 (assume @p81 @t436) % 1.31/1.51 (assume @p82 @t440) % 1.31/1.51 (assume @p83 @t444) % 1.31/1.51 (assume @p84 @t447) % 1.31/1.51 (assume @p85 @t450) % 1.31/1.51 (assume @p86 @t453) % 1.31/1.51 (assume @p87 @t459) % 1.31/1.51 (assume @p88 @t463) % 1.31/1.51 (assume @p89 @t467) % 1.31/1.51 (assume @p90 @t471) % 1.31/1.51 (assume @p91 @t474) % 1.31/1.51 (assume @p92 @t477) % 1.31/1.51 (assume @p93 @t479) % 1.31/1.51 (assume @p94 @t481) % 1.31/1.51 (assume @p95 @t484) % 1.31/1.51 (assume @p96 @t487) % 1.31/1.51 (assume @p97 @t490) % 1.31/1.51 (assume @p98 @t493) % 1.31/1.51 (assume @p99 @t497) % 1.31/1.51 (assume @p100 (= tptp.upairset2IR @t304)) % 1.31/1.51 (assume @p101 @t499) % 1.31/1.51 (assume @p102 @t506) % 1.31/1.51 (assume @p103 @t509) % 1.31/1.51 (assume @p104 @t512) % 1.31/1.51 (assume @p105 @t515) % 1.31/1.51 (assume @p106 @t521) % 1.31/1.51 (assume @p107 @t528) % 1.31/1.51 (assume @p108 @t530) % 1.31/1.51 (assume @p109 @t534) % 1.31/1.51 (assume @p110 @t538) % 1.31/1.51 (assume @p111 @t542) % 1.31/1.51 (assume @p112 @t544) % 1.31/1.51 (assume @p113 @t550) % 1.31/1.51 (assume @p114 @t553) % 1.31/1.51 (assume @p115 @t556) % 1.31/1.51 (assume @p116 @t559) % 1.31/1.51 (assume @p117 @t566) % 1.31/1.51 (assume @p118 @t572) % 1.31/1.51 (assume @p119 @t574) % 1.31/1.51 (assume @p120 @t576) % 1.31/1.51 (assume @p121 @t580) % 1.31/1.51 (assume @p122 @t583) % 1.31/1.51 (assume @p123 @t585) % 1.31/1.51 (assume @p124 @t587) % 1.31/1.51 (assume @p125 @t589) % 1.31/1.51 (assume @p126 @t592) % 1.31/1.51 (assume @p127 @t595) % 1.31/1.51 (assume @p128 @t605) % 1.31/1.51 (assume @p129 @t608) % 1.31/1.51 (assume @p130 @t611) % 1.31/1.51 (assume @p131 @t615) % 1.31/1.51 (assume @p132 @t618) % 1.31/1.51 (assume @p133 (= tptp.secondinupair @t304)) % 1.31/1.51 (assume @p134 @t625) % 1.31/1.51 (assume @p135 @t628) % 1.31/1.51 (assume @p136 @t631) % 1.31/1.51 (assume @p137 @t636) % 1.31/1.51 (assume @p138 @t639) % 1.31/1.51 (assume @p139 @t643) % 1.31/1.51 (assume @p140 @t647) % 1.31/1.51 (assume @p141 (= tptp.upairset2E @t298)) % 1.31/1.51 (assume @p142 @t652) % 1.31/1.51 (assume @p143 @t657) % 1.31/1.51 (assume @p144 @t662) % 1.31/1.51 (assume @p145 @t668) % 1.31/1.51 (assume @p146 @t674) % 1.31/1.51 (assume @p147 @t680) % 1.31/1.51 (assume @p148 @t691) % 1.31/1.51 (assume @p149 @t694) % 1.31/1.51 (assume @p150 @t704) % 1.31/1.51 (assume @p151 @t709) % 1.31/1.51 (assume @p152 @t712) % 1.31/1.51 (assume @p153 @t715) % 1.31/1.51 (assume @p154 @t723) % 1.31/1.51 (assume @p155 @t728) % 1.31/1.51 (assume @p156 @t736) % 1.31/1.51 (assume @p157 @t740) % 1.31/1.51 (assume @p158 @t743) % 1.31/1.51 (assume @p159 @t749) % 1.31/1.51 (assume @p160 @t758) % 1.31/1.51 (assume @p161 @t763) % 1.31/1.51 (assume @p162 @t767) % 1.31/1.51 (assume @p163 @t771) % 1.31/1.51 (assume @p164 @t779) % 1.31/1.51 (assume @p165 @t783) % 1.31/1.51 (assume @p166 @t786) % 1.31/1.51 (assume @p167 @t790) % 1.31/1.51 (assume @p168 @t794) % 1.31/1.51 (assume @p169 @t797) % 1.31/1.51 (assume @p170 @t799) % 1.31/1.51 (assume @p171 @t801) % 1.31/1.51 (assume @p172 @t809) % 1.31/1.51 (assume @p173 @t813) % 1.31/1.51 (assume @p174 @t819) % 1.31/1.51 (assume @p175 @t822) % 1.31/1.51 (assume @p176 @t825) % 1.31/1.51 (assume @p177 @t827) % 1.31/1.51 (assume @p178 @t832) % 1.31/1.51 (assume @p179 @t837) % 1.31/1.51 (assume @p180 @t842) % 1.31/1.51 (assume @p181 @t845) % 1.31/1.51 (assume @p182 @t856) % 1.31/1.51 (assume @p183 @t862) % 1.31/1.51 (assume @p184 @t865) % 1.31/1.51 (assume @p185 @t870) % 1.31/1.51 (assume @p186 @t873) % 1.31/1.51 (assume @p187 @t875) % 1.31/1.51 (assume @p188 @t877) % 1.31/1.51 (assume @p189 @t889) % 1.31/1.51 (assume @p190 @t895) % 1.31/1.51 (assume @p191 @t902) % 1.31/1.51 (assume @p192 @t907) % 1.31/1.51 (assume @p193 @t910) % 1.31/1.51 (assume @p194 @t912) % 1.31/1.51 (assume @p195 @t921) % 1.31/1.51 (assume @p196 @t928) % 1.31/1.51 (assume @p197 @t932) % 1.31/1.51 (assume @p198 @t948) % 1.31/1.51 (assume @p199 @t949) % 1.31/1.51 (assume @p200 @t952) % 1.31/1.51 (assume @p201 @t958) % 1.31/1.51 (assume @p202 @t961) % 1.31/1.51 (assume @p203 @t969) % 1.31/1.51 (assume @p204 @t986) % 1.31/1.51 (assume @p205 @t989) % 1.31/1.51 (assume @p206 @t1005) % 1.31/1.51 (assume @p207 @t1017) % 1.31/1.51 (assume @p208 @t1024) % 1.31/1.51 (assume @p209 @t1031) % 1.31/1.51 (assume @p210 @t1036) % 1.31/1.51 (assume @p211 @t1039) % 1.31/1.51 (assume @p212 @t1048) % 1.31/1.51 (assume @p213 @t1054) % 1.31/1.51 (assume @p214 @t1057) % 1.31/1.51 (assume @p215 (= tptp.beta2 @t1047)) % 1.31/1.51 (assume @p216 @t1060) % 1.31/1.51 (assume @p217 @t1074) % 1.31/1.51 (assume @p218 @t1081) % 1.31/1.51 (assume @p219 @t1087) % 1.31/1.51 (assume @p220 @t1094) % 1.31/1.51 (assume @p221 @t1099) % 1.31/1.51 (assume @p222 @t1106) % 1.31/1.51 (assume @p223 @t1111) % 1.31/1.51 (assume @p224 @t1117) % 1.31/1.51 (assume @p225 @t1123) % 1.31/1.51 (assume @p226 @t1128) % 1.31/1.51 (assume @p227 @t1140) % 1.31/1.51 (assume @p228 @t1146) % 1.31/1.51 (assume @p229 @t1151) % 1.31/1.51 (assume @p230 @t1157) % 1.31/1.51 (assume @p231 @t1162) % 1.31/1.51 (assume @p232 @t1175) % 1.31/1.51 (assume @p233 @t1183) % 1.31/1.51 (assume @p234 @t1191) % 1.31/1.51 (assume @p235 @t1198) % 1.31/1.51 (assume @p236 @t1205) % 1.31/1.51 (assume @p237 @t1210) % 1.31/1.51 (assume @p238 @t1220) % 1.31/1.51 (assume @p239 @t1228) % 1.31/1.51 (assume @p240 @t1238) % 1.31/1.51 (assume @p241 @t1246) % 1.31/1.51 (assume @p242 @t1252) % 1.31/1.51 (assume @p243 @t1257) % 1.31/1.51 (assume @p244 @t1264) % 1.31/1.51 (assume @p245 @t1269) % 1.31/1.51 (assume @p246 @t1272) % 1.31/1.51 (assume @p247 @t1275) % 1.31/1.51 (assume @p248 @t1278) % 1.31/1.51 (assume @p249 @t1285) % 1.31/1.51 (assume @p250 @t1294) % 1.31/1.51 (assume @p251 @t1299) % 1.31/1.51 (assume @p252 @t1305) % 1.31/1.51 (assume @p253 @t1313) % 1.31/1.51 (assume @p254 @t1320) % 1.31/1.51 (assume @p255 @t1583) % 1.31/1.51 (assume @p256 true) % 1.31/1.51 (step @p257 (= tptp.exu @t1584) :rule refl :args (@t1584)) % 1.31/1.51 (step @p258 (= tptp.nonempty @t1585) :rule refl :args (@t1585)) % 1.31/1.51 (step @p259 (= tptp.ex1 @t1586) :rule refl :args (@t1586)) % 1.31/1.51 (step @p260 (= tptp.breln @t1588) :rule refl :args (@t1588)) % 1.31/1.51 (step @p261 :rule refl :args (@t2350)) % 1.31/1.51 (step @p262 :rule skolem_intro :args ((@purify true))) % 1.31/1.51 (step @p263 :rule symm :premises (@p262)) % 1.31/1.51 (step @p264 :rule cong :premises (@p263) :args (@t2351)) % 1.31/1.51 (step @p265 :rule cong :premises (@p264) :args (@t2352)) % 1.31/1.51 (step @p266 :rule cong :premises (@p265 @p261) :args (@t2353)) % 1.31/1.51 (step @p267 :rule refl :args (tptp.emptyset)) % 1.31/1.51 (step @p268 :rule cong :premises (@p267 @p264) :args (@t2354)) % 1.31/1.51 (step @p269 :rule cong :premises (@p268 @p266) :args (@t2355)) % 1.31/1.51 (step @p270 :rule refl :args (@t2358)) % 1.31/1.51 (step @p271 :rule cong :premises (@p270 @p269) :args (@t2359)) % 1.31/1.51 (step @p272 :rule refl :args (@t2366)) % 1.31/1.51 (step @p273 :rule cong :premises (@p272 @p271) :args (@t2367)) % 1.31/1.51 (step @p274 :rule refl :args (@t2192)) % 1.31/1.51 (step @p275 :rule cong :premises (@p274 @p273) :args (@t2368)) % 1.31/1.51 (step @p276 :rule refl :args (@t2370)) % 1.31/1.51 (step @p277 :rule cong :premises (@p276 @p275) :args (@t2371)) % 1.31/1.51 (step @p278 :rule refl :args (@t2175)) % 1.31/1.51 (step @p279 :rule cong :premises (@p278 @p277) :args (@t2372)) % 1.31/1.51 (step @p280 :rule refl :args (@t2376)) % 1.31/1.51 (step @p281 :rule cong :premises (@p280 @p279) :args (@t2377)) % 1.31/1.51 (step @p282 :rule refl :args (@t2379)) % 1.31/1.51 (step @p283 :rule cong :premises (@p282 @p281) :args (@t2380)) % 1.31/1.51 (step @p284 :rule refl :args (@t2381)) % 1.31/1.51 (step @p285 :rule cong :premises (@p284 @p283) :args (@t2382)) % 1.31/1.51 (step @p286 :rule refl :args (@t2383)) % 1.31/1.51 (step @p287 :rule cong :premises (@p286 @p285) :args (@t2384)) % 1.31/1.51 (step @p288 :rule refl :args (@t2387)) % 1.31/1.51 (step @p289 :rule cong :premises (@p288 @p287) :args (@t2388)) % 1.31/1.51 (step @p290 :rule refl :args (@t2395)) % 1.31/1.51 (step @p291 :rule cong :premises (@p290 @p289) :args (@t2396)) % 1.31/1.51 (step @p292 :rule refl :args (@t2399)) % 1.31/1.51 (step @p293 :rule cong :premises (@p292 @p291) :args (@t2400)) % 1.31/1.51 (step @p294 :rule refl :args (@t2405)) % 1.31/1.51 (step @p295 :rule cong :premises (@p294 @p293) :args (@t2406)) % 1.31/1.51 (step @p296 :rule refl :args (@t2407)) % 1.31/1.51 (step @p297 :rule cong :premises (@p296 @p295) :args (@t2408)) % 1.31/1.51 (step @p298 :rule refl :args (@t2409)) % 1.31/1.51 (step @p299 :rule cong :premises (@p298 @p297) :args (@t2410)) % 1.31/1.51 (step @p300 :rule refl :args (@t2412)) % 1.31/1.51 (step @p301 :rule cong :premises (@p300 @p299) :args (@t2413)) % 1.31/1.51 (step @p302 :rule cong :premises (@p300 @p301) :args (@t2414)) % 1.31/1.51 (step @p303 :rule refl :args (@t2417)) % 1.31/1.51 (step @p304 :rule cong :premises (@p303 @p302) :args (@t2418)) % 1.31/1.51 (step @p305 :rule refl :args (@t2422)) % 1.31/1.51 (step @p306 :rule cong :premises (@p305 @p304) :args (@t2423)) % 1.31/1.51 (step @p307 :rule refl :args (@t2425)) % 1.31/1.51 (step @p308 :rule cong :premises (@p307 @p306) :args (@t2426)) % 1.31/1.51 (step @p309 :rule cong :premises (@p307 @p308) :args (@t2427)) % 1.31/1.51 (step @p310 :rule refl :args (@t2428)) % 1.31/1.51 (step @p311 :rule cong :premises (@p310 @p309) :args (@t2429)) % 1.31/1.51 (step @p312 :rule refl :args ((tptp.in tptp.emptyset @t220))) % 1.31/1.51 (step @p313 :rule refl :args (@t2430)) % 1.31/1.51 (step @p314 :rule refl :args (tptp.emptyset)) % 1.31/1.51 (step @p315 :rule cong :premises (@p314 @p313) :args (@t2431)) % 1.31/1.51 (step @p316 :rule trans :premises (@p315 @p312)) % 1.31/1.51 (step @p317 :rule refl :args (@t49)) % 1.31/1.51 (step @p318 :rule ho_cong :premises (@p317 @p313)) % 1.31/1.51 (step @p319 :rule cong :premises (@p318 @p316) :args ((= (_ @t49 @t2430) @t2431))) % 1.31/1.51 (step @p320 :rule symm :premises (@p319)) % 1.31/1.51 (step @p321 :rule refl :args (@t221)) % 1.31/1.51 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 1.31/1.51 (step @p323 :rule refl :args (@t220)) % 1.31/1.51 (step @p324 :rule cong :premises (@p323 @p313) :args ((= @t220 @t2430))) % 1.31/1.51 (step @p325 :rule symm :premises (@p324)) % 1.31/1.51 (step @p326 :rule eq_resolve :premises (@p323 @p325)) % 1.31/1.51 (step @p327 :rule refl :args (@t49)) % 1.31/1.51 (step @p328 :rule ho_cong :premises (@p327 @p326)) % 1.31/1.51 (step @p329 :rule trans :premises (@p328 @p322)) % 1.31/1.51 (step @p330 :rule cong :premises (@p329 @p311) :args (@t2432)) % 1.31/1.51 (step @p331 :rule refl :args (@t2435)) % 1.31/1.51 (step @p332 :rule cong :premises (@p331 @p330) :args (@t2436)) % 1.31/1.51 (step @p333 :rule refl :args (@t2440)) % 1.31/1.51 (step @p334 :rule cong :premises (@p333 @p332) :args (@t2441)) % 1.31/1.51 (step @p335 :rule refl :args (@t2442)) % 1.31/1.51 (step @p336 :rule cong :premises (@p335 @p334) :args (@t2443)) % 1.31/1.51 (step @p337 :rule cong :premises (@p288 @p336) :args (@t2444)) % 1.31/1.51 (step @p338 :rule refl :args (@t2446)) % 1.31/1.51 (step @p339 :rule cong :premises (@p338 @p337) :args (@t2447)) % 1.31/1.51 (step @p340 :rule refl :args (@t2448)) % 1.31/1.51 (step @p341 :rule cong :premises (@p340 @p339) :args (@t2449)) % 1.31/1.51 (step @p342 :rule cong :premises (@p340 @p341) :args (@t2450)) % 1.31/1.51 (step @p343 :rule refl :args (@t2452)) % 1.31/1.51 (step @p344 :rule cong :premises (@p343 @p342) :args (@t2453)) % 1.31/1.51 (step @p345 :rule refl :args (@t2459)) % 1.31/1.51 (step @p346 :rule cong :premises (@p345 @p344) :args (@t2460)) % 1.31/1.51 (step @p347 :rule refl :args (@t2461)) % 1.31/1.51 (step @p348 :rule cong :premises (@p347 @p346) :args (@t2462)) % 1.31/1.51 (step @p349 :rule cong :premises (@p347 @p348) :args (@t2463)) % 1.31/1.51 (step @p350 :rule cong :premises (@p347 @p349) :args (@t2464)) % 1.31/1.51 (step @p351 :rule refl :args (@t2466)) % 1.31/1.51 (step @p352 :rule cong :premises (@p351 @p350) :args (@t2467)) % 1.31/1.51 (step @p353 :rule refl :args (@t2469)) % 1.31/1.51 (step @p354 :rule cong :premises (@p353 @p352) :args (@t2470)) % 1.31/1.51 (step @p355 :rule refl :args (@t2471)) % 1.31/1.51 (step @p356 :rule cong :premises (@p355 @p354) :args (@t2472)) % 1.31/1.51 (step @p357 :rule refl :args (@t2473)) % 1.31/1.51 (step @p358 :rule cong :premises (@p357 @p356) :args (@t2474)) % 1.31/1.51 (step @p359 :rule refl :args (@t2479)) % 1.31/1.51 (step @p360 :rule cong :premises (@p359 @p358) :args (@t2480)) % 1.31/1.51 (step @p361 :rule refl :args (@t2531)) % 1.31/1.51 (step @p362 :rule cong :premises (@p361 @p360) :args (@t2532)) % 1.31/1.51 (step @p363 :rule refl :args (@t2539)) % 1.31/1.51 (step @p364 :rule cong :premises (@p363 @p362) :args (@t2540)) % 1.31/1.51 (step @p365 :rule refl :args (@t2553)) % 1.31/1.51 (step @p366 :rule cong :premises (@p365 @p364) :args (@t2554)) % 1.31/1.51 (step @p367 :rule refl :args (@t2568)) % 1.31/1.51 (step @p368 :rule cong :premises (@p367 @p366) :args (@t2569)) % 1.31/1.51 (step @p369 :rule refl :args (@t2571)) % 1.31/1.51 (step @p370 :rule cong :premises (@p369 @p368) :args (@t2572)) % 1.31/1.51 (step @p371 :rule refl :args (@t2573)) % 1.31/1.51 (step @p372 :rule refl :args (@t50)) % 1.31/1.51 (step @p373 :rule cong :premises (@p372 @p371) :args ((= @t50 @t2573))) % 1.31/1.51 (step @p374 :rule symm :premises (@p373)) % 1.31/1.51 (step @p375 :rule eq_resolve :premises (@p372 @p374)) % 1.31/1.51 (step @p376 :rule cong :premises (@p375 @p370) :args (@t2574)) % 1.31/1.51 (step @p377 :rule refl :args (@t2575)) % 1.31/1.51 (step @p378 :rule cong :premises (@p377 @p376) :args (@t2576)) % 1.31/1.51 (step @p379 :rule refl :args (@t2577)) % 1.31/1.51 (step @p380 :rule cong :premises (@p379 @p378) :args (@t2578)) % 1.31/1.51 (step @p381 :rule refl :args (@t2580)) % 1.31/1.51 (step @p382 :rule cong :premises (@p381 @p380) :args (@t2581)) % 1.31/1.51 (step @p383 :rule cong :premises (@p347 @p382) :args (@t2582)) % 1.31/1.51 (step @p384 :rule refl :args (@t2584)) % 1.31/1.51 (step @p385 :rule cong :premises (@p384 @p383) :args (@t2585)) % 1.31/1.51 (step @p386 :rule cong :premises (@p385) :args ((not @t2585))) % 1.31/1.51 (step @p387 :rule bool-impl-true2 :args (@t1837)) % 1.31/1.51 (step @p388 :rule refl :args (@t1840)) % 1.31/1.51 (step @p389 :rule cong :premises (@p388 @p387) :args (@t2586)) % 1.31/1.51 (step @p390 :rule refl :args (@t1836)) % 1.31/1.51 (step @p391 :rule cong :premises (@p390 @p389) :args (@t2587)) % 1.31/1.51 (step @p392 :rule bool-impl-true2 :args (@t2587)) % 1.31/1.51 (step @p393 :rule trans :premises (@p392 @p391)) % 1.31/1.51 (step @p394 :rule bool-impl-true2 :args (@t2587)) % 1.31/1.51 (step @p395 :rule refl :args (true)) % 1.31/1.51 (step @p396 :rule cong :premises (@p395 @p394) :args (@t2588)) % 1.31/1.51 (step @p397 :rule trans :premises (@p396 @p393)) % 1.31/1.51 (step @p398 :rule refl :args (@t1847)) % 1.31/1.51 (step @p399 :rule cong :premises (@p398 @p397) :args (@t2589)) % 1.31/1.51 (step @p400 :rule refl :args (@t1854)) % 1.31/1.51 (step @p401 :rule cong :premises (@p400 @p399) :args (@t2590)) % 1.31/1.51 (step @p402 :rule refl :args (@t1875)) % 1.31/1.51 (step @p403 :rule cong :premises (@p402 @p401) :args (@t2591)) % 1.31/1.51 (step @p404 :rule refl :args (@t1882)) % 1.31/1.51 (step @p405 :rule cong :premises (@p404 @p403) :args (@t2592)) % 1.31/1.51 (step @p406 :rule refl :args (@t1890)) % 1.31/1.51 (step @p407 :rule cong :premises (@p406 @p405) :args (@t2593)) % 1.31/1.51 (step @p408 :rule refl :args (@t1903)) % 1.31/1.51 (step @p409 :rule cong :premises (@p408 @p407) :args (@t2594)) % 1.31/1.51 (step @p410 :rule refl :args (@t1911)) % 1.31/1.51 (step @p411 :rule cong :premises (@p410 @p409) :args (@t2595)) % 1.31/1.51 (step @p412 :rule refl :args (@t1917)) % 1.31/1.51 (step @p413 :rule cong :premises (@p412 @p411) :args (@t2596)) % 1.31/1.51 (step @p414 :rule refl :args (@t1923)) % 1.31/1.51 (step @p415 :rule cong :premises (@p414 @p413) :args (@t2597)) % 1.31/1.51 (step @p416 :rule refl :args (@t1936)) % 1.31/1.51 (step @p417 :rule cong :premises (@p416 @p415) :args (@t2598)) % 1.31/1.51 (step @p418 :rule refl :args (@t1949)) % 1.31/1.51 (step @p419 :rule cong :premises (@p418 @p417) :args (@t2599)) % 1.31/1.51 (step @p420 :rule cong :premises (@p418 @p419) :args (@t2600)) % 1.31/1.51 (step @p421 :rule refl :args (@t1950)) % 1.31/1.51 (step @p422 :rule cong :premises (@p421 @p420) :args (@t2601)) % 1.31/1.51 (step @p423 :rule refl :args (@t1951)) % 1.31/1.51 (step @p424 :rule cong :premises (@p423 @p422) :args (@t2602)) % 1.31/1.51 (step @p425 :rule refl :args (@t1956)) % 1.31/1.51 (step @p426 :rule cong :premises (@p425 @p424) :args (@t2603)) % 1.31/1.51 (step @p427 :rule refl :args (@t1957)) % 1.31/1.51 (step @p428 :rule cong :premises (@p427 @p426) :args (@t2604)) % 1.31/1.51 (step @p429 :rule refl :args (@t1963)) % 1.31/1.51 (step @p430 :rule cong :premises (@p429 @p428) :args (@t2605)) % 1.31/1.51 (step @p431 :rule refl :args (@t1964)) % 1.31/1.51 (step @p432 :rule cong :premises (@p431 @p430) :args (@t2606)) % 1.31/1.51 (step @p433 :rule refl :args (@t1970)) % 1.31/1.51 (step @p434 :rule cong :premises (@p433 @p432) :args (@t2607)) % 1.31/1.51 (step @p435 :rule refl :args (@t1976)) % 1.31/1.51 (step @p436 :rule cong :premises (@p435 @p434) :args (@t2608)) % 1.31/1.51 (step @p437 :rule refl :args (@t1982)) % 1.31/1.51 (step @p438 :rule cong :premises (@p437 @p436) :args (@t2609)) % 1.31/1.51 (step @p439 :rule refl :args (@t1988)) % 1.31/1.51 (step @p440 :rule cong :premises (@p439 @p438) :args (@t2610)) % 1.31/1.51 (step @p441 :rule refl :args (@t1990)) % 1.31/1.51 (step @p442 :rule cong :premises (@p441 @p440) :args (@t2611)) % 1.31/1.51 (step @p443 :rule refl :args (@t1991)) % 1.31/1.51 (step @p444 :rule cong :premises (@p443 @p442) :args (@t2612)) % 1.31/1.51 (step @p445 :rule refl :args (@t1998)) % 1.31/1.51 (step @p446 :rule cong :premises (@p445 @p444) :args (@t2613)) % 1.31/1.51 (step @p447 :rule refl :args (@t1999)) % 1.31/1.51 (step @p448 :rule cong :premises (@p447 @p446) :args (@t2614)) % 1.31/1.51 (step @p449 :rule cong :premises (@p447 @p448) :args (@t2615)) % 1.31/1.51 (step @p450 :rule refl :args (@t2006)) % 1.31/1.51 (step @p451 :rule cong :premises (@p450 @p449) :args (@t2616)) % 1.31/1.51 (step @p452 :rule refl :args (@t2013)) % 1.31/1.51 (step @p453 :rule cong :premises (@p452 @p451) :args (@t2617)) % 1.31/1.51 (step @p454 :rule refl :args (@t2019)) % 1.31/1.51 (step @p455 :rule cong :premises (@p454 @p453) :args (@t2618)) % 1.31/1.51 (step @p456 :rule refl :args (@t2025)) % 1.31/1.51 (step @p457 :rule cong :premises (@p456 @p455) :args (@t2619)) % 1.31/1.51 (step @p458 :rule bool-impl-true2 :args (@t2619)) % 1.31/1.51 (step @p459 :rule trans :premises (@p458 @p457)) % 1.31/1.51 (step @p460 :rule refl :args (@t2028)) % 1.31/1.51 (step @p461 :rule cong :premises (@p460 @p459) :args (@t2620)) % 1.31/1.51 (step @p462 :rule refl :args (@t2029)) % 1.31/1.51 (step @p463 :rule cong :premises (@p462 @p461) :args (@t2621)) % 1.31/1.51 (step @p464 :rule refl :args (@t2031)) % 1.31/1.51 (step @p465 :rule cong :premises (@p464 @p463) :args (@t2622)) % 1.31/1.51 (step @p466 :rule refl :args (@t2034)) % 1.31/1.51 (step @p467 :rule cong :premises (@p466 @p465) :args (@t2623)) % 1.31/1.51 (step @p468 :rule refl :args (@t2037)) % 1.31/1.51 (step @p469 :rule cong :premises (@p468 @p467) :args (@t2624)) % 1.31/1.51 (step @p470 :rule refl :args (@t2044)) % 1.31/1.51 (step @p471 :rule cong :premises (@p470 @p469) :args (@t2625)) % 1.31/1.51 (step @p472 :rule refl :args (@t2047)) % 1.31/1.51 (step @p473 :rule cong :premises (@p472 @p471) :args (@t2626)) % 1.31/1.51 (step @p474 :rule refl :args (@t2058)) % 1.31/1.51 (step @p475 :rule cong :premises (@p474 @p473) :args (@t2627)) % 1.31/1.51 (step @p476 :rule refl :args (@t2059)) % 1.31/1.51 (step @p477 :rule cong :premises (@p476 @p475) :args (@t2628)) % 1.31/1.51 (step @p478 :rule refl :args (@t2063)) % 1.31/1.51 (step @p479 :rule cong :premises (@p478 @p477) :args (@t2629)) % 1.31/1.51 (step @p480 :rule refl :args (@t2066)) % 1.31/1.51 (step @p481 :rule cong :premises (@p480 @p479) :args (@t2630)) % 1.31/1.51 (step @p482 :rule refl :args (@t2068)) % 1.31/1.51 (step @p483 :rule cong :premises (@p482 @p481) :args (@t2631)) % 1.31/1.51 (step @p484 :rule refl :args (@t2069)) % 1.31/1.51 (step @p485 :rule cong :premises (@p484 @p483) :args (@t2632)) % 1.31/1.51 (step @p486 :rule refl :args (@t2070)) % 1.31/1.51 (step @p487 :rule cong :premises (@p486 @p485) :args (@t2633)) % 1.31/1.51 (step @p488 :rule refl :args (@t2072)) % 1.31/1.51 (step @p489 :rule cong :premises (@p488 @p487) :args (@t2634)) % 1.31/1.51 (step @p490 :rule refl :args (@t2075)) % 1.31/1.51 (step @p491 :rule cong :premises (@p490 @p489) :args (@t2635)) % 1.31/1.51 (step @p492 :rule refl :args (@t2077)) % 1.31/1.51 (step @p493 :rule cong :premises (@p492 @p491) :args (@t2636)) % 1.31/1.51 (step @p494 :rule refl :args (@t2082)) % 1.31/1.51 (step @p495 :rule cong :premises (@p494 @p493) :args (@t2637)) % 1.31/1.51 (step @p496 :rule refl :args (@t2084)) % 1.31/1.51 (step @p497 :rule cong :premises (@p496 @p495) :args (@t2638)) % 1.31/1.51 (step @p498 :rule refl :args (@t2085)) % 1.31/1.51 (step @p499 :rule cong :premises (@p498 @p497) :args (@t2639)) % 1.31/1.51 (step @p500 :rule refl :args (@t2101)) % 1.31/1.51 (step @p501 :rule cong :premises (@p500 @p499) :args (@t2640)) % 1.31/1.51 (step @p502 :rule refl :args (@t2108)) % 1.31/1.51 (step @p503 :rule cong :premises (@p502 @p501) :args (@t2641)) % 1.31/1.51 (step @p504 :rule refl :args (@t2111)) % 1.31/1.51 (step @p505 :rule cong :premises (@p504 @p503) :args (@t2642)) % 1.31/1.51 (step @p506 :rule cong :premises (@p500 @p505) :args (@t2643)) % 1.31/1.51 (step @p507 :rule refl :args (@t2113)) % 1.31/1.51 (step @p508 :rule cong :premises (@p507 @p506) :args (@t2644)) % 1.31/1.51 (step @p509 :rule refl :args (@t2117)) % 1.31/1.51 (step @p510 :rule cong :premises (@p509 @p508) :args (@t2645)) % 1.31/1.51 (step @p511 :rule refl :args (@t2119)) % 1.31/1.51 (step @p512 :rule cong :premises (@p511 @p510) :args (@t2646)) % 1.31/1.51 (step @p513 :rule refl :args (@t2125)) % 1.31/1.51 (step @p514 :rule cong :premises (@p513 @p512) :args (@t2647)) % 1.31/1.51 (step @p515 :rule refl :args (@t2126)) % 1.31/1.51 (step @p516 :rule cong :premises (@p515 @p514) :args (@t2648)) % 1.31/1.51 (step @p517 :rule refl :args (@t2133)) % 1.31/1.51 (step @p518 :rule cong :premises (@p517 @p516) :args (@t2649)) % 1.31/1.51 (step @p519 :rule refl :args (@t2139)) % 1.31/1.51 (step @p520 :rule cong :premises (@p519 @p518) :args (@t2650)) % 1.31/1.51 (step @p521 :rule refl :args (@t2148)) % 1.31/1.51 (step @p522 :rule cong :premises (@p521 @p520) :args (@t2651)) % 1.31/1.51 (step @p523 :rule refl :args (@t2154)) % 1.31/1.51 (step @p524 :rule cong :premises (@p523 @p522) :args (@t2652)) % 1.31/1.51 (step @p525 :rule refl :args (@t2160)) % 1.31/1.51 (step @p526 :rule cong :premises (@p525 @p524) :args (@t2653)) % 1.31/1.51 (step @p527 :rule refl :args (@t2166)) % 1.31/1.51 (step @p528 :rule cong :premises (@p527 @p526) :args (@t2654)) % 1.31/1.51 (step @p529 :rule refl :args (@t2172)) % 1.31/1.51 (step @p530 :rule cong :premises (@p529 @p528) :args (@t2655)) % 1.31/1.51 (step @p531 :rule cong :premises (@p278 @p530) :args (@t2656)) % 1.31/1.51 (step @p532 :rule refl :args (@t2177)) % 1.31/1.51 (step @p533 :rule cong :premises (@p532 @p531) :args (@t2657)) % 1.31/1.51 (step @p534 :rule refl :args (@t2179)) % 1.31/1.51 (step @p535 :rule cong :premises (@p534 @p533) :args (@t2658)) % 1.31/1.51 (step @p536 :rule refl :args (@t2181)) % 1.31/1.51 (step @p537 :rule cong :premises (@p536 @p535) :args (@t2659)) % 1.31/1.51 (step @p538 :rule refl :args (@t2183)) % 1.31/1.51 (step @p539 :rule cong :premises (@p538 @p537) :args (@t2660)) % 1.31/1.51 (step @p540 :rule refl :args (@t2185)) % 1.31/1.51 (step @p541 :rule cong :premises (@p540 @p539) :args (@t2661)) % 1.31/1.51 (step @p542 :rule refl :args (@t2188)) % 1.31/1.51 (step @p543 :rule cong :premises (@p542 @p541) :args (@t2662)) % 1.31/1.51 (step @p544 :rule refl :args (@t2190)) % 1.31/1.51 (step @p545 :rule cong :premises (@p544 @p543) :args (@t2663)) % 1.31/1.51 (step @p546 :rule cong :premises (@p274 @p545) :args (@t2664)) % 1.31/1.51 (step @p547 :rule refl :args (@t2197)) % 1.31/1.51 (step @p548 :rule cong :premises (@p547 @p546) :args (@t2665)) % 1.31/1.51 (step @p549 :rule refl :args (@t2199)) % 1.31/1.51 (step @p550 :rule cong :premises (@p549 @p548) :args (@t2666)) % 1.31/1.51 (step @p551 :rule refl :args (@t2200)) % 1.31/1.51 (step @p552 :rule cong :premises (@p551 @p550) :args (@t2667)) % 1.31/1.51 (step @p553 :rule refl :args (@t2201)) % 1.31/1.51 (step @p554 :rule cong :premises (@p553 @p552) :args (@t2668)) % 1.31/1.51 (step @p555 :rule refl :args (@t2204)) % 1.31/1.51 (step @p556 :rule cong :premises (@p555 @p554) :args (@t2669)) % 1.31/1.51 (step @p557 :rule refl :args (@t2208)) % 1.31/1.51 (step @p558 :rule cong :premises (@p557 @p556) :args (@t2670)) % 1.31/1.51 (step @p559 :rule refl :args (@t2210)) % 1.31/1.51 (step @p560 :rule cong :premises (@p559 @p558) :args (@t2671)) % 1.31/1.51 (step @p561 :rule refl :args (@t2213)) % 1.31/1.51 (step @p562 :rule cong :premises (@p561 @p560) :args (@t2672)) % 1.31/1.51 (step @p563 :rule refl :args (@t2214)) % 1.31/1.51 (step @p564 :rule cong :premises (@p563 @p562) :args (@t2673)) % 1.31/1.51 (step @p565 :rule refl :args (@t2215)) % 1.31/1.51 (step @p566 :rule cong :premises (@p565 @p564) :args (@t2674)) % 1.31/1.51 (step @p567 :rule refl :args (@t2216)) % 1.31/1.51 (step @p568 :rule cong :premises (@p567 @p566) :args (@t2675)) % 1.31/1.51 (step @p569 :rule refl :args (@t2218)) % 1.31/1.51 (step @p570 :rule cong :premises (@p569 @p568) :args (@t2676)) % 1.31/1.51 (step @p571 :rule refl :args (@t2219)) % 1.31/1.51 (step @p572 :rule cong :premises (@p571 @p570) :args (@t2677)) % 1.31/1.51 (step @p573 :rule refl :args (@t2220)) % 1.31/1.51 (step @p574 :rule cong :premises (@p573 @p572) :args (@t2678)) % 1.31/1.51 (step @p575 :rule refl :args (@t2221)) % 1.31/1.51 (step @p576 :rule cong :premises (@p575 @p574) :args (@t2679)) % 1.31/1.51 (step @p577 :rule refl :args (@t2227)) % 1.31/1.51 (step @p578 :rule cong :premises (@p577 @p576) :args (@t2680)) % 1.31/1.51 (step @p579 :rule refl :args (@t2229)) % 1.31/1.51 (step @p580 :rule cong :premises (@p579 @p578) :args (@t2681)) % 1.31/1.51 (step @p581 :rule refl :args (@t2233)) % 1.31/1.51 (step @p582 :rule cong :premises (@p581 @p580) :args (@t2682)) % 1.31/1.51 (step @p583 :rule refl :args (@t2235)) % 1.31/1.51 (step @p584 :rule cong :premises (@p583 @p582) :args (@t2683)) % 1.31/1.51 (step @p585 :rule refl :args (@t2238)) % 1.31/1.51 (step @p586 :rule cong :premises (@p585 @p584) :args (@t2684)) % 1.31/1.51 (step @p587 :rule refl :args (@t2241)) % 1.31/1.51 (step @p588 :rule cong :premises (@p587 @p586) :args (@t2685)) % 1.31/1.51 (step @p589 :rule refl :args (@t2242)) % 1.31/1.51 (step @p590 :rule cong :premises (@p589 @p588) :args (@t2686)) % 1.31/1.51 (step @p591 :rule refl :args (@t2243)) % 1.31/1.51 (step @p592 :rule cong :premises (@p591 @p590) :args (@t2687)) % 1.31/1.51 (step @p593 :rule refl :args (@t2245)) % 1.31/1.51 (step @p594 :rule cong :premises (@p593 @p592) :args (@t2688)) % 1.31/1.51 (step @p595 :rule refl :args (@t2246)) % 1.31/1.51 (step @p596 :rule cong :premises (@p595 @p594) :args (@t2689)) % 1.31/1.51 (step @p597 :rule refl :args (@t2250)) % 1.31/1.51 (step @p598 :rule cong :premises (@p597 @p596) :args (@t2690)) % 1.31/1.51 (step @p599 :rule refl :args (@t2251)) % 1.31/1.51 (step @p600 :rule cong :premises (@p599 @p598) :args (@t2691)) % 1.31/1.51 (step @p601 :rule refl :args (@t2253)) % 1.31/1.51 (step @p602 :rule cong :premises (@p601 @p600) :args (@t2692)) % 1.31/1.51 (step @p603 :rule refl :args (@t2255)) % 1.31/1.51 (step @p604 :rule cong :premises (@p603 @p602) :args (@t2693)) % 1.31/1.51 (step @p605 :rule refl :args (@t2258)) % 1.31/1.51 (step @p606 :rule cong :premises (@p605 @p604) :args (@t2694)) % 1.31/1.51 (step @p607 :rule cong :premises (@p605 @p606) :args (@t2695)) % 1.31/1.51 (step @p608 :rule refl :args (@t2259)) % 1.31/1.51 (step @p609 :rule cong :premises (@p608 @p607) :args (@t2696)) % 1.31/1.51 (step @p610 :rule cong :premises (@p274 @p609) :args (@t2697)) % 1.31/1.51 (step @p611 :rule refl :args (@t2260)) % 1.31/1.51 (step @p612 :rule cong :premises (@p611 @p610) :args (@t2698)) % 1.31/1.51 (step @p613 :rule refl :args (@t2261)) % 1.31/1.51 (step @p614 :rule cong :premises (@p613 @p612) :args (@t2699)) % 1.31/1.51 (step @p615 :rule refl :args (@t2262)) % 1.31/1.51 (step @p616 :rule cong :premises (@p615 @p614) :args (@t2700)) % 1.31/1.51 (step @p617 :rule refl :args (@t2265)) % 1.31/1.51 (step @p618 :rule cong :premises (@p617 @p616) :args (@t2701)) % 1.31/1.51 (step @p619 :rule refl :args (@t2267)) % 1.31/1.51 (step @p620 :rule cong :premises (@p619 @p618) :args (@t2702)) % 1.31/1.51 (step @p621 :rule refl :args (@t2270)) % 1.31/1.51 (step @p622 :rule cong :premises (@p621 @p620) :args (@t2703)) % 1.31/1.51 (step @p623 :rule refl :args (@t2271)) % 1.31/1.51 (step @p624 :rule cong :premises (@p623 @p622) :args (@t2704)) % 1.31/1.51 (step @p625 :rule refl :args (@t2273)) % 1.31/1.51 (step @p626 :rule cong :premises (@p625 @p624) :args (@t2705)) % 1.31/1.51 (step @p627 :rule refl :args (@t2274)) % 1.31/1.51 (step @p628 :rule cong :premises (@p627 @p626) :args (@t2706)) % 1.31/1.51 (step @p629 :rule refl :args (@t2276)) % 1.31/1.51 (step @p630 :rule cong :premises (@p629 @p628) :args (@t2707)) % 1.31/1.51 (step @p631 :rule refl :args (@t2279)) % 1.31/1.51 (step @p632 :rule cong :premises (@p631 @p630) :args (@t2708)) % 1.31/1.51 (step @p633 :rule refl :args (@t2282)) % 1.31/1.51 (step @p634 :rule cong :premises (@p633 @p632) :args (@t2709)) % 1.31/1.51 (step @p635 :rule refl :args (@t2285)) % 1.31/1.51 (step @p636 :rule cong :premises (@p635 @p634) :args (@t2710)) % 1.31/1.51 (step @p637 :rule refl :args (@t2287)) % 1.31/1.51 (step @p638 :rule cong :premises (@p637 @p636) :args (@t2711)) % 1.31/1.51 (step @p639 :rule bool-impl-true2 :args (@t2711)) % 1.31/1.51 (step @p640 :rule trans :premises (@p639 @p638)) % 1.31/1.51 (step @p641 :rule refl :args (@t2289)) % 1.31/1.51 (step @p642 :rule cong :premises (@p641 @p640) :args (@t2712)) % 1.31/1.51 (step @p643 :rule refl :args (@t2290)) % 1.31/1.51 (step @p644 :rule cong :premises (@p643 @p642) :args (@t2713)) % 1.31/1.51 (step @p645 :rule refl :args (@t2291)) % 1.31/1.51 (step @p646 :rule cong :premises (@p645 @p644) :args (@t2714)) % 1.31/1.51 (step @p647 :rule refl :args (@t2292)) % 1.31/1.51 (step @p648 :rule cong :premises (@p647 @p646) :args (@t2715)) % 1.31/1.51 (step @p649 :rule refl :args (@t2294)) % 1.31/1.51 (step @p650 :rule cong :premises (@p649 @p648) :args (@t2716)) % 1.31/1.51 (step @p651 :rule refl :args (@t2297)) % 1.31/1.51 (step @p652 :rule cong :premises (@p651 @p650) :args (@t2717)) % 1.31/1.51 (step @p653 :rule cong :premises (@p641 @p652) :args (@t2718)) % 1.31/1.51 (step @p654 :rule cong :premises (@p641 @p653) :args (@t2719)) % 1.31/1.51 (step @p655 :rule cong :premises (@p651 @p654) :args (@t2720)) % 1.31/1.51 (step @p656 :rule refl :args (@t2308)) % 1.31/1.51 (step @p657 :rule cong :premises (@p656 @p655) :args (@t2721)) % 1.31/1.51 (step @p658 :rule refl :args (@t2321)) % 1.31/1.51 (step @p659 :rule cong :premises (@p658 @p657) :args (@t2722)) % 1.31/1.51 (step @p660 :rule refl :args (@t2330)) % 1.31/1.51 (step @p661 :rule cong :premises (@p660 @p659) :args (@t2723)) % 1.31/1.51 (step @p662 :rule bool-impl-true2 :args (@t2723)) % 1.31/1.51 (step @p663 :rule trans :premises (@p662 @p661)) % 1.31/1.51 (step @p664 :rule bool-impl-true2 :args (@t2723)) % 1.31/1.51 (step @p665 :rule cong :premises (@p395 @p664) :args (@t2724)) % 1.31/1.51 (step @p666 :rule trans :premises (@p665 @p663)) % 1.31/1.51 (step @p667 :rule cong :premises (@p395 @p664) :args (@t2724)) % 1.31/1.51 (step @p668 :rule cong :premises (@p395 @p667) :args (@t2725)) % 1.31/1.51 (step @p669 :rule trans :premises (@p668 @p666)) % 1.31/1.51 (step @p670 :rule cong :premises (@p395 @p667) :args (@t2725)) % 1.31/1.51 (step @p671 :rule cong :premises (@p395 @p670) :args (@t2726)) % 1.31/1.51 (step @p672 :rule trans :premises (@p671 @p669)) % 1.31/1.51 (step @p673 :rule cong :premises (@p395 @p670) :args (@t2726)) % 1.31/1.51 (step @p674 :rule cong :premises (@p395 @p673) :args (@t2727)) % 1.31/1.51 (step @p675 :rule trans :premises (@p674 @p672)) % 1.31/1.51 (step @p676 :rule refl :args (@t2340)) % 1.31/1.51 (step @p677 :rule cong :premises (@p676 @p675) :args (@t2728)) % 1.31/1.51 (step @p678 :rule cong :premises (@p660 @p677) :args (@t2729)) % 1.31/1.51 (step @p679 :rule bool-impl-true2 :args (@t2729)) % 1.31/1.51 (step @p680 :rule trans :premises (@p679 @p678)) % 1.31/1.51 (step @p681 :rule bool-impl-true2 :args (@t2729)) % 1.31/1.51 (step @p682 :rule cong :premises (@p395 @p681) :args (@t2730)) % 1.31/1.51 (step @p683 :rule trans :premises (@p682 @p680)) % 1.31/1.51 (step @p684 :rule refl :args (@t2343)) % 1.31/1.51 (step @p685 :rule cong :premises (@p684 @p683) :args (@t2731)) % 1.31/1.51 (step @p686 :rule refl :args (@t2349)) % 1.31/1.51 (step @p687 :rule cong :premises (@p686 @p685) :args (@t2732)) % 1.31/1.51 (step @p688 :rule bool-impl-true2 :args (@t2732)) % 1.31/1.51 (step @p689 :rule trans :premises (@p688 @p687)) % 1.31/1.51 (step @p690 :rule bool-impl-true2 :args (@t2732)) % 1.31/1.51 (step @p691 :rule cong :premises (@p395 @p690) :args (@t2733)) % 1.31/1.51 (step @p692 :rule trans :premises (@p691 @p689)) % 1.31/1.51 (step @p693 :rule cong :premises (@p395 @p690) :args (@t2733)) % 1.31/1.51 (step @p694 :rule cong :premises (@p395 @p693) :args (@t2734)) % 1.31/1.51 (step @p695 :rule trans :premises (@p694 @p692)) % 1.31/1.51 (step @p696 :rule refl :args (@t2352)) % 1.31/1.51 (step @p697 :rule cong :premises (@p696 @p695) :args (@t2735)) % 1.31/1.51 (step @p698 :rule refl :args (@t2354)) % 1.31/1.51 (step @p699 :rule cong :premises (@p698 @p697) :args (@t2736)) % 1.31/1.51 (step @p700 :rule bool-impl-true2 :args (@t2736)) % 1.31/1.51 (step @p701 :rule trans :premises (@p700 @p699)) % 1.31/1.51 (step @p702 :rule bool-impl-true2 :args (@t2736)) % 1.31/1.51 (step @p703 :rule cong :premises (@p395 @p702) :args (@t2737)) % 1.31/1.51 (step @p704 :rule trans :premises (@p703 @p701)) % 1.31/1.51 (step @p705 :rule cong :premises (@p395 @p702) :args (@t2737)) % 1.31/1.51 (step @p706 :rule cong :premises (@p395 @p705) :args (@t2738)) % 1.31/1.51 (step @p707 :rule trans :premises (@p706 @p704)) % 1.31/1.51 (step @p708 :rule cong :premises (@p395 @p705) :args (@t2738)) % 1.31/1.51 (step @p709 :rule cong :premises (@p395 @p708) :args (@t2739)) % 1.31/1.51 (step @p710 :rule trans :premises (@p709 @p707)) % 1.31/1.51 (step @p711 :rule cong :premises (@p270 @p710) :args (@t2740)) % 1.31/1.51 (step @p712 :rule cong :premises (@p272 @p711) :args (@t2741)) % 1.31/1.51 (step @p713 :rule cong :premises (@p274 @p712) :args (@t2742)) % 1.31/1.51 (step @p714 :rule cong :premises (@p276 @p713) :args (@t2743)) % 1.31/1.51 (step @p715 :rule cong :premises (@p278 @p714) :args (@t2744)) % 1.31/1.51 (step @p716 :rule cong :premises (@p280 @p715) :args (@t2745)) % 1.31/1.51 (step @p717 :rule cong :premises (@p282 @p716) :args (@t2746)) % 1.31/1.51 (step @p718 :rule cong :premises (@p284 @p717) :args (@t2747)) % 1.31/1.51 (step @p719 :rule cong :premises (@p286 @p718) :args (@t2748)) % 1.31/1.51 (step @p720 :rule cong :premises (@p288 @p719) :args (@t2749)) % 1.31/1.51 (step @p721 :rule cong :premises (@p290 @p720) :args (@t2750)) % 1.31/1.51 (step @p722 :rule cong :premises (@p292 @p721) :args (@t2751)) % 1.31/1.51 (step @p723 :rule cong :premises (@p294 @p722) :args (@t2752)) % 1.31/1.51 (step @p724 :rule cong :premises (@p296 @p723) :args (@t2753)) % 1.31/1.51 (step @p725 :rule cong :premises (@p298 @p724) :args (@t2754)) % 1.31/1.51 (step @p726 :rule cong :premises (@p300 @p725) :args (@t2755)) % 1.31/1.51 (step @p727 :rule cong :premises (@p300 @p726) :args (@t2756)) % 1.31/1.51 (step @p728 :rule cong :premises (@p303 @p727) :args (@t2757)) % 1.31/1.51 (step @p729 :rule cong :premises (@p305 @p728) :args (@t2758)) % 1.31/1.51 (step @p730 :rule cong :premises (@p307 @p729) :args (@t2759)) % 1.31/1.51 (step @p731 :rule cong :premises (@p307 @p730) :args (@t2760)) % 1.31/1.51 (step @p732 :rule cong :premises (@p310 @p731) :args (@t2761)) % 1.31/1.51 (step @p733 :rule refl :args (@t221)) % 1.31/1.51 (step @p734 :rule cong :premises (@p733 @p732) :args (@t2762)) % 1.31/1.51 (step @p735 :rule cong :premises (@p331 @p734) :args (@t2763)) % 1.31/1.51 (step @p736 :rule cong :premises (@p333 @p735) :args (@t2764)) % 1.31/1.51 (step @p737 :rule cong :premises (@p335 @p736) :args (@t2765)) % 1.31/1.51 (step @p738 :rule cong :premises (@p288 @p737) :args (@t2766)) % 1.31/1.51 (step @p739 :rule cong :premises (@p338 @p738) :args (@t2767)) % 1.31/1.51 (step @p740 :rule cong :premises (@p340 @p739) :args (@t2768)) % 1.31/1.51 (step @p741 :rule cong :premises (@p340 @p740) :args (@t2769)) % 1.31/1.51 (step @p742 :rule cong :premises (@p343 @p741) :args (@t2770)) % 1.31/1.51 (step @p743 :rule cong :premises (@p345 @p742) :args (@t2771)) % 1.31/1.51 (step @p744 :rule cong :premises (@p347 @p743) :args (@t2772)) % 1.31/1.51 (step @p745 :rule cong :premises (@p347 @p744) :args (@t2773)) % 1.31/1.51 (step @p746 :rule cong :premises (@p347 @p745) :args (@t2774)) % 1.31/1.51 (step @p747 :rule cong :premises (@p351 @p746) :args (@t2775)) % 1.31/1.51 (step @p748 :rule bool-impl-true2 :args (@t2775)) % 1.31/1.51 (step @p749 :rule trans :premises (@p748 @p747)) % 1.31/1.51 (step @p750 :rule cong :premises (@p353 @p749) :args (@t2776)) % 1.31/1.51 (step @p751 :rule cong :premises (@p355 @p750) :args (@t2777)) % 1.31/1.51 (step @p752 :rule cong :premises (@p357 @p751) :args (@t2778)) % 1.31/1.51 (step @p753 :rule cong :premises (@p359 @p752) :args (@t2779)) % 1.31/1.51 (step @p754 :rule cong :premises (@p361 @p753) :args (@t2780)) % 1.31/1.51 (step @p755 :rule cong :premises (@p363 @p754) :args (@t2781)) % 1.31/1.51 (step @p756 :rule cong :premises (@p365 @p755) :args (@t2782)) % 1.31/1.51 (step @p757 :rule cong :premises (@p367 @p756) :args (@t2783)) % 1.31/1.51 (step @p758 :rule cong :premises (@p369 @p757) :args (@t2784)) % 1.31/1.51 (step @p759 :rule refl :args (@t50)) % 1.31/1.51 (step @p760 :rule cong :premises (@p759 @p758) :args (@t2785)) % 1.31/1.51 (step @p761 :rule cong :premises (@p377 @p760) :args (@t2786)) % 1.31/1.51 (step @p762 :rule cong :premises (@p379 @p761) :args (@t2787)) % 1.31/1.51 (step @p763 :rule cong :premises (@p381 @p762) :args (@t2788)) % 1.31/1.51 (step @p764 :rule cong :premises (@p347 @p763) :args (@t2789)) % 1.31/1.51 (step @p765 :rule cong :premises (@p384 @p764) :args (@t2790)) % 1.31/1.51 (step @p766 :rule cong :premises (@p765) :args ((not @t2790))) % 1.31/1.51 (step @p767 :rule refl :args (@t1600)) % 1.31/1.51 (step @p768 :rule aci_norm :args ((= @t2792 @t1606))) % 1.31/1.51 (step @p769 :rule cong :premises (@p768) :args (@t2793)) % 1.31/1.51 (step @p770 :rule quant-merge-prenex :args ((= (forall @t1138 @t2795) @t2793))) % 1.31/1.51 (step @p771 :rule alpha_equiv :args (@t2796 (@list @t1602) @t2797)) % 1.31/1.51 (step @p772 :rule refl :args (@t1597)) % 1.31/1.51 (step @p773 :rule nary_cong :premises (@p772 @p771) :args (@t2798)) % 1.31/1.51 (step @p774 :rule quant-miniscope-or :args ((= @t2795 @t2798))) % 1.31/1.51 (step @p775 :rule trans :premises (@p774 @p773)) % 1.31/1.51 (step @p776 :rule symm :premises (@p775)) % 1.31/1.51 (step @p777 :rule cong :premises (@p776) :args ((forall @t1138 (or @t1597 @t2805)))) % 1.31/1.51 (step @p778 :rule trans :premises (@p777 @p770)) % 1.31/1.51 (step @p779 :rule trans :premises (@p778 @p769)) % 1.31/1.51 (step @p780 :rule refl :args (@t2805)) % 1.31/1.51 (step @p781 :rule refl :args ((tptp.in @t695 @t33))) % 1.31/1.51 (step @p782 :rule refl :args (@t1594)) % 1.31/1.51 (step @p783 :rule refl :args (@t695)) % 1.31/1.51 (step @p784 :rule cong :premises (@p783 @p782) :args (@t1596)) % 1.31/1.51 (step @p785 :rule trans :premises (@p784 @p781)) % 1.31/1.51 (step @p786 :rule refl :args (@t697)) % 1.31/1.51 (step @p787 :rule ho_cong :premises (@p786 @p782)) % 1.31/1.51 (step @p788 :rule cong :premises (@p787 @p785) :args ((= (_ @t697 @t1594) @t1596))) % 1.31/1.51 (step @p789 :rule symm :premises (@p788)) % 1.31/1.51 (step @p790 :rule refl :args (@t1136)) % 1.31/1.51 (step @p791 :rule eq_resolve :premises (@p790 @p789)) % 1.31/1.51 (step @p792 :rule refl :args (@t33)) % 1.31/1.51 (step @p793 :rule cong :premises (@p792 @p782) :args ((= @t33 @t1594))) % 1.31/1.51 (step @p794 :rule symm :premises (@p793)) % 1.31/1.51 (step @p795 :rule eq_resolve :premises (@p792 @p794)) % 1.31/1.51 (step @p796 :rule ho_cong :premises (@p786 @p795)) % 1.31/1.51 (step @p797 :rule trans :premises (@p796 @p791)) % 1.31/1.51 (step @p798 :rule cong :premises (@p797) :args (@t2806)) % 1.31/1.51 (step @p799 :rule nary_cong :premises (@p798 @p780) :args (@t2807)) % 1.31/1.51 (step @p800 :rule cong :premises (@p799) :args ((forall @t1138 @t2807))) % 1.31/1.51 (step @p801 :rule trans :premises (@p800 @p779)) % 1.31/1.51 (step @p802 :rule bool-impl-elim :args (@t1136 @t2805)) % 1.31/1.51 (step @p803 :rule cong :premises (@p802) :args ((forall @t1138 (=> @t1136 @t2805)))) % 1.31/1.51 (step @p804 :rule trans :premises (@p803 @p801)) % 1.31/1.51 (step @p805 :rule refl :args ((tptp.subset @t1129 @t1158))) % 1.31/1.51 (step @p806 :rule refl :args (@t1601)) % 1.31/1.51 (step @p807 :rule refl :args (@t1129)) % 1.31/1.51 (step @p808 :rule cong :premises (@p807 @p806) :args (@t2799)) % 1.31/1.51 (step @p809 :rule trans :premises (@p808 @p805)) % 1.31/1.51 (step @p810 :rule refl :args (@t1314)) % 1.31/1.51 (step @p811 :rule ho_cong :premises (@p810 @p806)) % 1.31/1.51 (step @p812 :rule cong :premises (@p811 @p809) :args ((= (_ @t1314 @t1601) @t2799))) % 1.31/1.51 (step @p813 :rule symm :premises (@p812)) % 1.31/1.51 (step @p814 :rule refl :args (@t1315)) % 1.31/1.51 (step @p815 :rule eq_resolve :premises (@p814 @p813)) % 1.31/1.51 (step @p816 :rule refl :args (@t1158)) % 1.31/1.51 (step @p817 :rule cong :premises (@p816 @p806) :args ((= @t1158 @t1601))) % 1.31/1.51 (step @p818 :rule symm :premises (@p817)) % 1.31/1.51 (step @p819 :rule eq_resolve :premises (@p816 @p818)) % 1.31/1.51 (step @p820 :rule ho_cong :premises (@p810 @p819)) % 1.31/1.51 (step @p821 :rule trans :premises (@p820 @p815)) % 1.31/1.51 (step @p822 :rule refl :args ((tptp.subset @t695 @t1230))) % 1.31/1.51 (step @p823 :rule refl :args (@t2800)) % 1.31/1.51 (step @p824 :rule cong :premises (@p783 @p823) :args (@t2801)) % 1.31/1.51 (step @p825 :rule trans :premises (@p824 @p822)) % 1.31/1.51 (step @p826 :rule refl :args (@t1176)) % 1.31/1.51 (step @p827 :rule ho_cong :premises (@p826 @p823)) % 1.31/1.51 (step @p828 :rule cong :premises (@p827 @p825) :args ((= (_ @t1176 @t2800) @t2801))) % 1.31/1.51 (step @p829 :rule symm :premises (@p828)) % 1.31/1.51 (step @p830 :rule refl :args (@t1231)) % 1.31/1.51 (step @p831 :rule eq_resolve :premises (@p830 @p829)) % 1.31/1.51 (step @p832 :rule refl :args (@t1230)) % 1.31/1.51 (step @p833 :rule cong :premises (@p832 @p823) :args ((= @t1230 @t2800))) % 1.31/1.51 (step @p834 :rule symm :premises (@p833)) % 1.31/1.51 (step @p835 :rule eq_resolve :premises (@p832 @p834)) % 1.31/1.51 (step @p836 :rule ho_cong :premises (@p826 @p835)) % 1.31/1.51 (step @p837 :rule trans :premises (@p836 @p831)) % 1.31/1.51 (step @p838 :rule cong :premises (@p837) :args (@t2808)) % 1.31/1.51 (step @p839 :rule refl :args ((tptp.in @t1129 @t33))) % 1.31/1.51 (step @p840 :rule cong :premises (@p807 @p782) :args (@t2803)) % 1.31/1.51 (step @p841 :rule trans :premises (@p840 @p839)) % 1.31/1.51 (step @p842 :rule refl :args (@t1132)) % 1.31/1.51 (step @p843 :rule ho_cong :premises (@p842 @p782)) % 1.31/1.51 (step @p844 :rule cong :premises (@p843 @p841) :args ((= (_ @t1132 @t1594) @t2803))) % 1.31/1.51 (step @p845 :rule symm :premises (@p844)) % 1.31/1.51 (step @p846 :rule refl :args (@t1133)) % 1.31/1.51 (step @p847 :rule eq_resolve :premises (@p846 @p845)) % 1.31/1.51 (step @p848 :rule ho_cong :premises (@p842 @p795)) % 1.31/1.51 (step @p849 :rule trans :premises (@p848 @p847)) % 1.31/1.51 (step @p850 :rule cong :premises (@p849) :args (@t2809)) % 1.31/1.51 (step @p851 :rule nary_cong :premises (@p850 @p838 @p821) :args (@t2810)) % 1.31/1.51 (step @p852 :rule cong :premises (@p851) :args ((forall @t1134 @t2810))) % 1.31/1.51 (step @p853 :rule aci_norm :args ((= (or @t2809 (or @t2808 @t1315)) @t2810))) % 1.31/1.51 (step @p854 :rule bool-impl-elim :args (@t1231 @t1315)) % 1.31/1.51 (step @p855 :rule refl :args (@t2809)) % 1.31/1.51 (step @p856 :rule nary_cong :premises (@p855 @p854) :args ((or @t2809 @t1316))) % 1.31/1.51 (step @p857 :rule trans :premises (@p856 @p853)) % 1.31/1.51 (step @p858 :rule bool-impl-elim :args (@t1133 @t1316)) % 1.31/1.51 (step @p859 :rule trans :premises (@p858 @p857)) % 1.31/1.51 (step @p860 :rule cong :premises (@p859) :args (@t1317)) % 1.31/1.51 (step @p861 :rule trans :premises (@p860 @p852)) % 1.31/1.51 (step @p862 :rule refl :args (@t1136)) % 1.31/1.51 (step @p863 :rule cong :premises (@p862 @p861) :args (@t1318)) % 1.31/1.51 (step @p864 :rule cong :premises (@p863) :args (@t1319)) % 1.31/1.51 (step @p865 :rule trans :premises (@p864 @p804)) % 1.31/1.51 (step @p866 :rule refl :args (tptp.complementTcontraSubset)) % 1.31/1.51 (step @p867 :rule cong :premises (@p866 @p865) :args (@t1320)) % 1.31/1.51 (step @p868 :rule eq_resolve :premises (@p254 @p867)) % 1.31/1.51 (step @p869 :rule cong :premises (@p868 @p767) :args (@t2811)) % 1.31/1.51 (step @p870 :rule aci_norm :args ((= @t2813 @t1615))) % 1.31/1.51 (step @p871 :rule cong :premises (@p870) :args (@t2814)) % 1.31/1.51 (step @p872 :rule quant-merge-prenex :args ((= (forall @t1138 @t2816) @t2814))) % 1.31/1.51 (step @p873 :rule alpha_equiv :args (@t2817 (@list @t1610 @t1608) (@list @t1129 @t2818))) % 1.31/1.51 (step @p874 :rule nary_cong :premises (@p772 @p873) :args (@t2819)) % 1.31/1.51 (step @p875 :rule quant-miniscope-or :args ((= @t2816 @t2819))) % 1.31/1.51 (step @p876 :rule trans :premises (@p875 @p874)) % 1.31/1.51 (step @p877 :rule symm :premises (@p876)) % 1.31/1.51 (step @p878 :rule cong :premises (@p877) :args ((forall @t1138 (or @t1597 @t2825)))) % 1.31/1.51 (step @p879 :rule trans :premises (@p878 @p872)) % 1.31/1.51 (step @p880 :rule trans :premises (@p879 @p871)) % 1.31/1.51 (step @p881 :rule refl :args (@t2825)) % 1.31/1.51 (step @p882 :rule nary_cong :premises (@p798 @p881) :args (@t2826)) % 1.31/1.51 (step @p883 :rule cong :premises (@p882) :args ((forall @t1138 @t2826))) % 1.31/1.51 (step @p884 :rule trans :premises (@p883 @p880)) % 1.31/1.51 (step @p885 :rule bool-impl-elim :args (@t1136 @t2825)) % 1.31/1.51 (step @p886 :rule cong :premises (@p885) :args ((forall @t1138 (=> @t1136 @t2825)))) % 1.31/1.51 (step @p887 :rule trans :premises (@p886 @p884)) % 1.31/1.51 (step @p888 :rule aci_norm :args ((= @t2828 @t2823))) % 1.31/1.51 (step @p889 :rule cong :premises (@p888) :args (@t2829)) % 1.31/1.51 (step @p890 :rule quant-merge-prenex :args ((= (forall @t1134 @t2831) @t2829))) % 1.31/1.51 (step @p891 :rule alpha_equiv :args (@t2832 (@list @t2818) @t2833)) % 1.31/1.51 (step @p892 :rule refl :args (@t2802)) % 1.31/1.51 (step @p893 :rule refl :args (@t2804)) % 1.31/1.51 (step @p894 :rule nary_cong :premises (@p893 @p892 @p891) :args (@t2834)) % 1.31/1.51 (step @p895 :rule quant-miniscope-or :args ((= @t2831 @t2834))) % 1.31/1.51 (step @p896 :rule trans :premises (@p895 @p894)) % 1.31/1.51 (step @p897 :rule symm :premises (@p896)) % 1.31/1.51 (step @p898 :rule cong :premises (@p897) :args ((forall @t1134 (or @t2804 @t2802 @t2838)))) % 1.31/1.51 (step @p899 :rule trans :premises (@p898 @p890)) % 1.31/1.51 (step @p900 :rule trans :premises (@p899 @p889)) % 1.31/1.51 (step @p901 :rule refl :args (@t2838)) % 1.31/1.51 (step @p902 :rule nary_cong :premises (@p850 @p838 @p901) :args (@t2839)) % 1.31/1.51 (step @p903 :rule cong :premises (@p902) :args ((forall @t1134 @t2839))) % 1.31/1.51 (step @p904 :rule trans :premises (@p903 @p900)) % 1.31/1.51 (step @p905 :rule aci_norm :args ((= (or @t2809 (or @t2808 @t2838)) @t2839))) % 1.31/1.51 (step @p906 :rule bool-impl-elim :args (@t1231 @t2838)) % 1.31/1.51 (step @p907 :rule nary_cong :premises (@p855 @p906) :args ((or @t2809 @t2840))) % 1.31/1.51 (step @p908 :rule trans :premises (@p907 @p905)) % 1.31/1.51 (step @p909 :rule bool-impl-elim :args (@t1133 @t2840)) % 1.31/1.51 (step @p910 :rule trans :premises (@p909 @p908)) % 1.31/1.51 (step @p911 :rule cong :premises (@p910) :args ((forall @t1134 (=> @t1133 @t2840)))) % 1.31/1.51 (step @p912 :rule trans :premises (@p911 @p904)) % 1.31/1.51 (step @p913 :rule refl :args ((tptp.in @t4 @t1158))) % 1.31/1.51 (step @p914 :rule refl :args (@t4)) % 1.31/1.51 (step @p915 :rule cong :premises (@p914 @p806) :args (@t2835)) % 1.31/1.51 (step @p916 :rule trans :premises (@p915 @p913)) % 1.31/1.51 (step @p917 :rule refl :args (@t5)) % 1.31/1.51 (step @p918 :rule ho_cong :premises (@p917 @p806)) % 1.31/1.51 (step @p919 :rule cong :premises (@p918 @p916) :args ((= (_ @t5 @t1601) @t2835))) % 1.31/1.51 (step @p920 :rule symm :premises (@p919)) % 1.31/1.51 (step @p921 :rule refl :args (@t1199)) % 1.31/1.51 (step @p922 :rule eq_resolve :premises (@p921 @p920)) % 1.31/1.51 (step @p923 :rule ho_cong :premises (@p917 @p819)) % 1.31/1.51 (step @p924 :rule trans :premises (@p923 @p922)) % 1.31/1.51 (step @p925 :rule refl :args (@t2836)) % 1.31/1.51 (step @p926 :rule refl :args (@t1164)) % 1.31/1.51 (step @p927 :rule cong :premises (@p926 @p925) :args ((= @t1164 @t2836))) % 1.31/1.51 (step @p928 :rule symm :premises (@p927)) % 1.31/1.51 (step @p929 :rule eq_resolve :premises (@p926 @p928)) % 1.31/1.51 (step @p930 :rule cong :premises (@p929) :args (@t1221)) % 1.31/1.51 (step @p931 :rule refl :args (@t1729)) % 1.31/1.51 (step @p932 :rule refl :args (@t7)) % 1.31/1.51 (step @p933 :rule cong :premises (@p932 @p931) :args ((= @t7 @t1729))) % 1.31/1.51 (step @p934 :rule symm :premises (@p933)) % 1.31/1.51 (step @p935 :rule eq_resolve :premises (@p932 @p934)) % 1.31/1.51 (step @p936 :rule cong :premises (@p935) :args (@t197)) % 1.31/1.51 (step @p937 :rule nary_cong :premises (@p936 @p930 @p924) :args (@t2841)) % 1.31/1.51 (step @p938 :rule cong :premises (@p937) :args ((forall @t9 @t2841))) % 1.31/1.51 (step @p939 :rule aci_norm :args ((= (or @t197 (or @t1221 @t1199)) @t2841))) % 1.31/1.51 (step @p940 :rule bool-impl-elim :args (@t1164 @t1199)) % 1.31/1.51 (step @p941 :rule refl :args (@t197)) % 1.31/1.51 (step @p942 :rule nary_cong :premises (@p941 @p940) :args ((or @t197 @t1306))) % 1.31/1.51 (step @p943 :rule trans :premises (@p942 @p939)) % 1.31/1.51 (step @p944 :rule bool-impl-elim :args (@t7 @t1306)) % 1.31/1.51 (step @p945 :rule trans :premises (@p944 @p943)) % 1.31/1.51 (step @p946 :rule cong :premises (@p945) :args (@t1307)) % 1.31/1.51 (step @p947 :rule trans :premises (@p946 @p938)) % 1.31/1.51 (step @p948 :rule refl :args (@t1231)) % 1.31/1.51 (step @p949 :rule cong :premises (@p948 @p947) :args (@t1308)) % 1.31/1.51 (step @p950 :rule refl :args (@t1133)) % 1.31/1.51 (step @p951 :rule cong :premises (@p950 @p949) :args (@t1309)) % 1.31/1.51 (step @p952 :rule cong :premises (@p951) :args (@t1310)) % 1.31/1.51 (step @p953 :rule trans :premises (@p952 @p912)) % 1.31/1.51 (step @p954 :rule cong :premises (@p862 @p953) :args (@t1311)) % 1.31/1.51 (step @p955 :rule cong :premises (@p954) :args (@t1312)) % 1.31/1.51 (step @p956 :rule trans :premises (@p955 @p887)) % 1.31/1.51 (step @p957 :rule refl :args (tptp.contraSubsetComplement)) % 1.31/1.51 (step @p958 :rule cong :premises (@p957 @p956) :args (@t1313)) % 1.31/1.51 (step @p959 :rule eq_resolve :premises (@p253 @p958)) % 1.31/1.51 (step @p960 :rule cong :premises (@p959 @p869) :args (@t2842)) % 1.31/1.51 (step @p961 :rule aci_norm :args ((= @t2844 @t1620))) % 1.31/1.51 (step @p962 :rule cong :premises (@p961) :args (@t2845)) % 1.31/1.51 (step @p963 :rule quant-merge-prenex :args ((= (forall @t1138 @t2847) @t2845))) % 1.31/1.51 (step @p964 :rule alpha_equiv :args (@t2848 (@list @t1617) @t2797)) % 1.31/1.51 (step @p965 :rule nary_cong :premises (@p772 @p964) :args (@t2849)) % 1.31/1.51 (step @p966 :rule quant-miniscope-or :args ((= @t2847 @t2849))) % 1.31/1.51 (step @p967 :rule trans :premises (@p966 @p965)) % 1.31/1.51 (step @p968 :rule symm :premises (@p967)) % 1.31/1.51 (step @p969 :rule cong :premises (@p968) :args ((forall @t1138 (or @t1597 @t2854)))) % 1.31/1.51 (step @p970 :rule trans :premises (@p969 @p963)) % 1.31/1.51 (step @p971 :rule trans :premises (@p970 @p962)) % 1.31/1.51 (step @p972 :rule refl :args (@t2854)) % 1.31/1.51 (step @p973 :rule nary_cong :premises (@p798 @p972) :args (@t2855)) % 1.31/1.51 (step @p974 :rule cong :premises (@p973) :args ((forall @t1138 @t2855))) % 1.31/1.51 (step @p975 :rule trans :premises (@p974 @p971)) % 1.31/1.51 (step @p976 :rule bool-impl-elim :args (@t1136 @t2854)) % 1.31/1.51 (step @p977 :rule cong :premises (@p976) :args ((forall @t1138 (=> @t1136 @t2854)))) % 1.31/1.51 (step @p978 :rule trans :premises (@p977 @p975)) % 1.31/1.51 (step @p979 :rule refl :args ((tptp.in @t1158 @t1300))) % 1.31/1.51 (step @p980 :rule refl :args ((tptp.powerset @t1286))) % 1.31/1.51 (step @p981 :rule refl :args ((tptp.setminus @t2 @t1130))) % 1.31/1.51 (step @p982 :rule refl :args (@t2850)) % 1.31/1.51 (step @p983 :rule refl :args (@t2)) % 1.31/1.51 (step @p984 :rule cong :premises (@p983 @p982) :args (@t2851)) % 1.31/1.51 (step @p985 :rule trans :premises (@p984 @p981)) % 1.31/1.51 (step @p986 :rule cong :premises (@p985) :args (@t2852)) % 1.31/1.51 (step @p987 :rule trans :premises (@p986 @p980)) % 1.31/1.51 (step @p988 :rule cong :premises (@p806 @p987) :args (@t2853)) % 1.31/1.51 (step @p989 :rule trans :premises (@p988 @p979)) % 1.31/1.51 (step @p990 :rule refl :args (tptp.in)) % 1.31/1.51 (step @p991 :rule ho_cong :premises (@p990 @p806)) % 1.31/1.51 (step @p992 :rule ho_cong :premises (@p991 @p987)) % 1.31/1.51 (step @p993 :rule cong :premises (@p992 @p989) :args ((= (_ @t2856 @t2852) @t2853))) % 1.31/1.51 (step @p994 :rule symm :premises (@p993)) % 1.31/1.51 (step @p995 :rule refl :args (@t1301)) % 1.31/1.51 (step @p996 :rule eq_resolve :premises (@p995 @p994)) % 1.31/1.51 (step @p997 :rule refl :args (tptp.powerset)) % 1.31/1.51 (step @p998 :rule ho_cong :premises (@p997 @p985)) % 1.31/1.51 (step @p999 :rule cong :premises (@p998 @p987) :args ((= (_ tptp.powerset @t2851) @t2852))) % 1.31/1.51 (step @p1000 :rule symm :premises (@p999)) % 1.31/1.51 (step @p1001 :rule refl :args (@t1300)) % 1.31/1.51 (step @p1002 :rule eq_resolve :premises (@p1001 @p1000)) % 1.31/1.51 (step @p1003 :rule refl :args (@t567)) % 1.31/1.51 (step @p1004 :rule ho_cong :premises (@p1003 @p982)) % 1.31/1.51 (step @p1005 :rule cong :premises (@p1004 @p985) :args ((= (_ @t567 @t2850) @t2851))) % 1.31/1.51 (step @p1006 :rule symm :premises (@p1005)) % 1.31/1.51 (step @p1007 :rule refl :args (@t1286)) % 1.31/1.51 (step @p1008 :rule eq_resolve :premises (@p1007 @p1006)) % 1.31/1.51 (step @p1009 :rule refl :args (@t1130)) % 1.31/1.51 (step @p1010 :rule cong :premises (@p1009 @p982) :args ((= @t1130 @t2850))) % 1.31/1.51 (step @p1011 :rule symm :premises (@p1010)) % 1.31/1.51 (step @p1012 :rule eq_resolve :premises (@p1009 @p1011)) % 1.31/1.51 (step @p1013 :rule ho_cong :premises (@p1003 @p1012)) % 1.31/1.51 (step @p1014 :rule trans :premises (@p1013 @p1008)) % 1.31/1.51 (step @p1015 :rule ho_cong :premises (@p997 @p1014)) % 1.31/1.51 (step @p1016 :rule trans :premises (@p1015 @p1002)) % 1.31/1.51 (step @p1017 :rule ho_cong :premises (@p990 @p819)) % 1.31/1.51 (step @p1018 :rule ho_cong :premises (@p1017 @p1016)) % 1.31/1.51 (step @p1019 :rule trans :premises (@p1018 @p996)) % 1.31/1.51 (step @p1020 :rule nary_cong :premises (@p850 @p1019) :args (@t2857)) % 1.31/1.51 (step @p1021 :rule cong :premises (@p1020) :args ((forall @t1134 @t2857))) % 1.31/1.51 (step @p1022 :rule bool-impl-elim :args (@t1133 @t1301)) % 1.31/1.51 (step @p1023 :rule cong :premises (@p1022) :args (@t1302)) % 1.31/1.51 (step @p1024 :rule trans :premises (@p1023 @p1021)) % 1.31/1.51 (step @p1025 :rule cong :premises (@p862 @p1024) :args (@t1303)) % 1.31/1.51 (step @p1026 :rule cong :premises (@p1025) :args (@t1304)) % 1.31/1.51 (step @p1027 :rule trans :premises (@p1026 @p978)) % 1.31/1.51 (step @p1028 :rule refl :args (tptp.complementInPowersetComplementIntersect)) % 1.31/1.51 (step @p1029 :rule cong :premises (@p1028 @p1027) :args (@t1305)) % 1.31/1.51 (step @p1030 :rule eq_resolve :premises (@p252 @p1029)) % 1.31/1.51 (step @p1031 :rule cong :premises (@p1030 @p960) :args (@t2858)) % 1.31/1.51 (step @p1032 :rule aci_norm :args ((= @t2860 @t1625))) % 1.31/1.51 (step @p1033 :rule cong :premises (@p1032) :args (@t2861)) % 1.31/1.51 (step @p1034 :rule quant-merge-prenex :args ((= (forall @t1138 @t2863) @t2861))) % 1.31/1.51 (step @p1035 :rule alpha_equiv :args (@t2864 (@list @t1622) @t2797)) % 1.31/1.51 (step @p1036 :rule nary_cong :premises (@p772 @p1035) :args (@t2865)) % 1.31/1.51 (step @p1037 :rule quant-miniscope-or :args ((= @t2863 @t2865))) % 1.31/1.51 (step @p1038 :rule trans :premises (@p1037 @p1036)) % 1.31/1.51 (step @p1039 :rule symm :premises (@p1038)) % 1.31/1.51 (step @p1040 :rule cong :premises (@p1039) :args ((forall @t1138 (or @t1597 @t2867)))) % 1.31/1.51 (step @p1041 :rule trans :premises (@p1040 @p1034)) % 1.31/1.51 (step @p1042 :rule trans :premises (@p1041 @p1033)) % 1.31/1.51 (step @p1043 :rule refl :args (@t2867)) % 1.31/1.51 (step @p1044 :rule nary_cong :premises (@p798 @p1043) :args (@t2868)) % 1.31/1.51 (step @p1045 :rule cong :premises (@p1044) :args ((forall @t1138 @t2868))) % 1.31/1.51 (step @p1046 :rule trans :premises (@p1045 @p1042)) % 1.31/1.51 (step @p1047 :rule bool-impl-elim :args (@t1136 @t2867)) % 1.31/1.51 (step @p1048 :rule cong :premises (@p1047) :args ((forall @t1138 (=> @t1136 @t2867)))) % 1.31/1.51 (step @p1049 :rule trans :premises (@p1048 @p1046)) % 1.31/1.51 (step @p1050 :rule refl :args ((tptp.subset @t1158 @t1286))) % 1.31/1.51 (step @p1051 :rule cong :premises (@p806 @p985) :args (@t2866)) % 1.31/1.51 (step @p1052 :rule trans :premises (@p1051 @p1050)) % 1.31/1.51 (step @p1053 :rule refl :args (tptp.subset)) % 1.31/1.51 (step @p1054 :rule ho_cong :premises (@p1053 @p806)) % 1.31/1.51 (step @p1055 :rule ho_cong :premises (@p1054 @p985)) % 1.31/1.51 (step @p1056 :rule cong :premises (@p1055 @p1052) :args ((= (_ (_ tptp.subset @t1601) @t2851) @t2866))) % 1.31/1.51 (step @p1057 :rule symm :premises (@p1056)) % 1.31/1.51 (step @p1058 :rule refl :args (@t1295)) % 1.31/1.51 (step @p1059 :rule eq_resolve :premises (@p1058 @p1057)) % 1.31/1.51 (step @p1060 :rule ho_cong :premises (@p1053 @p819)) % 1.31/1.51 (step @p1061 :rule ho_cong :premises (@p1060 @p1014)) % 1.31/1.51 (step @p1062 :rule trans :premises (@p1061 @p1059)) % 1.31/1.51 (step @p1063 :rule nary_cong :premises (@p850 @p1062) :args (@t2869)) % 1.31/1.51 (step @p1064 :rule cong :premises (@p1063) :args ((forall @t1134 @t2869))) % 1.31/1.51 (step @p1065 :rule bool-impl-elim :args (@t1133 @t1295)) % 1.31/1.51 (step @p1066 :rule cong :premises (@p1065) :args (@t1296)) % 1.31/1.51 (step @p1067 :rule trans :premises (@p1066 @p1064)) % 1.31/1.51 (step @p1068 :rule cong :premises (@p862 @p1067) :args (@t1297)) % 1.31/1.51 (step @p1069 :rule cong :premises (@p1068) :args (@t1298)) % 1.31/1.51 (step @p1070 :rule trans :premises (@p1069 @p1049)) % 1.31/1.51 (step @p1071 :rule refl :args (tptp.complementSubsetComplementIntersect)) % 1.31/1.51 (step @p1072 :rule cong :premises (@p1071 @p1070) :args (@t1299)) % 1.31/1.51 (step @p1073 :rule eq_resolve :premises (@p251 @p1072)) % 1.31/1.51 (step @p1074 :rule cong :premises (@p1073 @p1031) :args (@t2870)) % 1.31/1.51 (step @p1075 :rule aci_norm :args ((= @t2872 @t1633))) % 1.31/1.51 (step @p1076 :rule cong :premises (@p1075) :args (@t2873)) % 1.31/1.51 (step @p1077 :rule quant-merge-prenex :args ((= (forall @t1138 @t2875) @t2873))) % 1.31/1.51 (step @p1078 :rule alpha_equiv :args (@t2876 (@list @t1627 @t1628) (@list @t1129 @t2877))) % 1.31/1.51 (step @p1079 :rule nary_cong :premises (@p772 @p1078) :args (@t2878)) % 1.31/1.51 (step @p1080 :rule quant-miniscope-or :args ((= @t2875 @t2878))) % 1.31/1.51 (step @p1081 :rule trans :premises (@p1080 @p1079)) % 1.31/1.51 (step @p1082 :rule symm :premises (@p1081)) % 1.31/1.51 (step @p1083 :rule cong :premises (@p1082) :args ((forall @t1138 (or @t1597 @t2884)))) % 1.31/1.51 (step @p1084 :rule trans :premises (@p1083 @p1077)) % 1.31/1.51 (step @p1085 :rule trans :premises (@p1084 @p1076)) % 1.31/1.51 (step @p1086 :rule refl :args (@t2884)) % 1.31/1.51 (step @p1087 :rule nary_cong :premises (@p798 @p1086) :args (@t2885)) % 1.31/1.51 (step @p1088 :rule cong :premises (@p1087) :args ((forall @t1138 @t2885))) % 1.31/1.51 (step @p1089 :rule trans :premises (@p1088 @p1085)) % 1.31/1.51 (step @p1090 :rule bool-impl-elim :args (@t1136 @t2884)) % 1.31/1.51 (step @p1091 :rule cong :premises (@p1090) :args ((forall @t1138 (=> @t1136 @t2884)))) % 1.31/1.51 (step @p1092 :rule trans :premises (@p1091 @p1089)) % 1.31/1.51 (step @p1093 :rule aci_norm :args ((= @t2887 @t2882))) % 1.31/1.51 (step @p1094 :rule cong :premises (@p1093) :args (@t2888)) % 1.31/1.51 (step @p1095 :rule quant-merge-prenex :args ((= (forall @t1134 @t2890) @t2888))) % 1.31/1.51 (step @p1096 :rule alpha_equiv :args (@t2891 (@list @t2877) @t2833)) % 1.31/1.51 (step @p1097 :rule nary_cong :premises (@p893 @p1096) :args (@t2892)) % 1.31/1.51 (step @p1098 :rule quant-miniscope-or :args ((= @t2890 @t2892))) % 1.31/1.51 (step @p1099 :rule trans :premises (@p1098 @p1097)) % 1.31/1.51 (step @p1100 :rule symm :premises (@p1099)) % 1.31/1.51 (step @p1101 :rule cong :premises (@p1100) :args ((forall @t1134 (or @t2804 @t2895)))) % 1.31/1.51 (step @p1102 :rule trans :premises (@p1101 @p1095)) % 1.31/1.51 (step @p1103 :rule trans :premises (@p1102 @p1094)) % 1.31/1.51 (step @p1104 :rule refl :args (@t2895)) % 1.31/1.51 (step @p1105 :rule nary_cong :premises (@p850 @p1104) :args (@t2896)) % 1.31/1.51 (step @p1106 :rule cong :premises (@p1105) :args ((forall @t1134 @t2896))) % 1.31/1.51 (step @p1107 :rule trans :premises (@p1106 @p1103)) % 1.31/1.51 (step @p1108 :rule bool-impl-elim :args (@t1133 @t2895)) % 1.31/1.51 (step @p1109 :rule cong :premises (@p1108) :args ((forall @t1134 (=> @t1133 @t2895)))) % 1.31/1.51 (step @p1110 :rule trans :premises (@p1109 @p1107)) % 1.31/1.51 (step @p1111 :rule refl :args ((tptp.in @t4 @t1286))) % 1.31/1.51 (step @p1112 :rule cong :premises (@p914 @p985) :args (@t2893)) % 1.31/1.51 (step @p1113 :rule trans :premises (@p1112 @p1111)) % 1.31/1.51 (step @p1114 :rule ho_cong :premises (@p917 @p985)) % 1.31/1.51 (step @p1115 :rule cong :premises (@p1114 @p1113) :args ((= (_ @t5 @t2851) @t2893))) % 1.31/1.51 (step @p1116 :rule symm :premises (@p1115)) % 1.31/1.51 (step @p1117 :rule refl :args (@t1287)) % 1.31/1.51 (step @p1118 :rule eq_resolve :premises (@p1117 @p1116)) % 1.31/1.51 (step @p1119 :rule ho_cong :premises (@p917 @p1014)) % 1.31/1.51 (step @p1120 :rule trans :premises (@p1119 @p1118)) % 1.31/1.51 (step @p1121 :rule cong :premises (@p924) :args (@t1200)) % 1.31/1.51 (step @p1122 :rule nary_cong :premises (@p936 @p1121 @p1120) :args (@t2897)) % 1.31/1.51 (step @p1123 :rule cong :premises (@p1122) :args ((forall @t9 @t2897))) % 1.31/1.51 (step @p1124 :rule aci_norm :args ((= (or @t197 (or @t1200 @t1287)) @t2897))) % 1.31/1.51 (step @p1125 :rule bool-impl-elim :args (@t1199 @t1287)) % 1.31/1.51 (step @p1126 :rule nary_cong :premises (@p941 @p1125) :args ((or @t197 @t1288))) % 1.31/1.51 (step @p1127 :rule trans :premises (@p1126 @p1124)) % 1.31/1.51 (step @p1128 :rule bool-impl-elim :args (@t7 @t1288)) % 1.31/1.51 (step @p1129 :rule trans :premises (@p1128 @p1127)) % 1.31/1.51 (step @p1130 :rule cong :premises (@p1129) :args (@t1289)) % 1.31/1.51 (step @p1131 :rule trans :premises (@p1130 @p1123)) % 1.31/1.51 (step @p1132 :rule cong :premises (@p950 @p1131) :args (@t1290)) % 1.31/1.51 (step @p1133 :rule cong :premises (@p1132) :args (@t1291)) % 1.31/1.51 (step @p1134 :rule trans :premises (@p1133 @p1110)) % 1.31/1.51 (step @p1135 :rule cong :premises (@p862 @p1134) :args (@t1292)) % 1.31/1.51 (step @p1136 :rule cong :premises (@p1135) :args (@t1293)) % 1.31/1.51 (step @p1137 :rule trans :premises (@p1136 @p1092)) % 1.31/1.51 (step @p1138 :rule refl :args (tptp.complementImpComplementIntersect)) % 1.31/1.51 (step @p1139 :rule cong :premises (@p1138 @p1137) :args (@t1294)) % 1.31/1.51 (step @p1140 :rule eq_resolve :premises (@p250 @p1139)) % 1.31/1.51 (step @p1141 :rule cong :premises (@p1140 @p1074) :args (@t2898)) % 1.31/1.51 (step @p1142 :rule aci_norm :args ((= @t2900 @t1641))) % 1.31/1.51 (step @p1143 :rule cong :premises (@p1142) :args (@t2901)) % 1.31/1.51 (step @p1144 :rule quant-merge-prenex :args ((= (forall @t1138 @t2903) @t2901))) % 1.31/1.51 (step @p1145 :rule alpha_equiv :args (@t2904 (@list @t1635 @t1636) (@list @t1129 @t2905))) % 1.31/1.51 (step @p1146 :rule nary_cong :premises (@p772 @p1145) :args (@t2906)) % 1.31/1.51 (step @p1147 :rule quant-miniscope-or :args ((= @t2903 @t2906))) % 1.31/1.51 (step @p1148 :rule trans :premises (@p1147 @p1146)) % 1.31/1.51 (step @p1149 :rule symm :premises (@p1148)) % 1.31/1.51 (step @p1150 :rule cong :premises (@p1149) :args ((forall @t1138 (or @t1597 @t2912)))) % 1.31/1.51 (step @p1151 :rule trans :premises (@p1150 @p1144)) % 1.31/1.51 (step @p1152 :rule trans :premises (@p1151 @p1143)) % 1.31/1.51 (step @p1153 :rule refl :args (@t2912)) % 1.31/1.51 (step @p1154 :rule nary_cong :premises (@p798 @p1153) :args (@t2913)) % 1.31/1.51 (step @p1155 :rule cong :premises (@p1154) :args ((forall @t1138 @t2913))) % 1.31/1.51 (step @p1156 :rule trans :premises (@p1155 @p1152)) % 1.31/1.51 (step @p1157 :rule bool-impl-elim :args (@t1136 @t2912)) % 1.31/1.51 (step @p1158 :rule cong :premises (@p1157) :args ((forall @t1138 (=> @t1136 @t2912)))) % 1.31/1.51 (step @p1159 :rule trans :premises (@p1158 @p1156)) % 1.31/1.51 (step @p1160 :rule aci_norm :args ((= @t2915 @t2910))) % 1.31/1.51 (step @p1161 :rule cong :premises (@p1160) :args (@t2916)) % 1.31/1.51 (step @p1162 :rule quant-merge-prenex :args ((= (forall @t1134 @t2918) @t2916))) % 1.31/1.51 (step @p1163 :rule alpha_equiv :args (@t2919 (@list @t2905) @t2833)) % 1.31/1.51 (step @p1164 :rule nary_cong :premises (@p893 @p1163) :args (@t2920)) % 1.31/1.51 (step @p1165 :rule quant-miniscope-or :args ((= @t2918 @t2920))) % 1.31/1.51 (step @p1166 :rule trans :premises (@p1165 @p1164)) % 1.31/1.51 (step @p1167 :rule symm :premises (@p1166)) % 1.31/1.51 (step @p1168 :rule cong :premises (@p1167) :args ((forall @t1134 (or @t2804 @t2923)))) % 1.31/1.51 (step @p1169 :rule trans :premises (@p1168 @p1162)) % 1.31/1.51 (step @p1170 :rule trans :premises (@p1169 @p1161)) % 1.31/1.51 (step @p1171 :rule refl :args (@t2923)) % 1.31/1.51 (step @p1172 :rule nary_cong :premises (@p850 @p1171) :args (@t2924)) % 1.31/1.51 (step @p1173 :rule cong :premises (@p1172) :args ((forall @t1134 @t2924))) % 1.31/1.51 (step @p1174 :rule trans :premises (@p1173 @p1170)) % 1.31/1.51 (step @p1175 :rule bool-impl-elim :args (@t1133 @t2923)) % 1.31/1.51 (step @p1176 :rule cong :premises (@p1175) :args ((forall @t1134 (=> @t1133 @t2923)))) % 1.31/1.51 (step @p1177 :rule trans :premises (@p1176 @p1174)) % 1.31/1.51 (step @p1178 :rule refl :args ((tptp.in @t4 @t1130))) % 1.31/1.51 (step @p1179 :rule cong :premises (@p914 @p982) :args (@t2921)) % 1.31/1.51 (step @p1180 :rule trans :premises (@p1179 @p1178)) % 1.31/1.51 (step @p1181 :rule ho_cong :premises (@p917 @p982)) % 1.31/1.51 (step @p1182 :rule cong :premises (@p1181 @p1180) :args ((= (_ @t5 @t2850) @t2921))) % 1.31/1.51 (step @p1183 :rule symm :premises (@p1182)) % 1.31/1.51 (step @p1184 :rule refl :args (@t1211)) % 1.31/1.51 (step @p1185 :rule eq_resolve :premises (@p1184 @p1183)) % 1.31/1.51 (step @p1186 :rule ho_cong :premises (@p917 @p1012)) % 1.31/1.51 (step @p1187 :rule trans :premises (@p1186 @p1185)) % 1.31/1.51 (step @p1188 :rule cong :premises (@p1187) :args (@t1212)) % 1.31/1.51 (step @p1189 :rule nary_cong :premises (@p936 @p1121 @p1188) :args (@t2925)) % 1.31/1.51 (step @p1190 :rule cong :premises (@p1189) :args ((forall @t9 @t2925))) % 1.31/1.51 (step @p1191 :rule aci_norm :args ((= (or @t197 (or @t1200 @t1212)) @t2925))) % 1.31/1.51 (step @p1192 :rule bool-impl-elim :args (@t1199 @t1212)) % 1.31/1.51 (step @p1193 :rule nary_cong :premises (@p941 @p1192) :args ((or @t197 @t1279))) % 1.31/1.51 (step @p1194 :rule trans :premises (@p1193 @p1191)) % 1.31/1.51 (step @p1195 :rule bool-impl-elim :args (@t7 @t1279)) % 1.31/1.51 (step @p1196 :rule trans :premises (@p1195 @p1194)) % 1.31/1.51 (step @p1197 :rule cong :premises (@p1196) :args (@t1280)) % 1.31/1.51 (step @p1198 :rule trans :premises (@p1197 @p1190)) % 1.31/1.51 (step @p1199 :rule cong :premises (@p950 @p1198) :args (@t1281)) % 1.31/1.51 (step @p1200 :rule cong :premises (@p1199) :args (@t1282)) % 1.31/1.51 (step @p1201 :rule trans :premises (@p1200 @p1177)) % 1.31/1.51 (step @p1202 :rule cong :premises (@p862 @p1201) :args (@t1283)) % 1.31/1.51 (step @p1203 :rule cong :premises (@p1202) :args (@t1284)) % 1.31/1.51 (step @p1204 :rule trans :premises (@p1203 @p1159)) % 1.31/1.51 (step @p1205 :rule refl :args (tptp.complementTnotintersectT)) % 1.31/1.51 (step @p1206 :rule cong :premises (@p1205 @p1204) :args (@t1285)) % 1.31/1.51 (step @p1207 :rule eq_resolve :premises (@p249 @p1206)) % 1.31/1.51 (step @p1208 :rule cong :premises (@p1207 @p1141) :args (@t2926)) % 1.31/1.51 (step @p1209 :rule refl :args ((tptp.setminus @t2 @t1158))) % 1.31/1.51 (step @p1210 :rule cong :premises (@p983 @p806) :args (@t1643)) % 1.31/1.51 (step @p1211 :rule trans :premises (@p1210 @p1209)) % 1.31/1.51 (step @p1212 :rule ho_cong :premises (@p1003 @p806)) % 1.31/1.51 (step @p1213 :rule cong :premises (@p1212 @p1211) :args ((= (_ @t567 @t1601) @t1643))) % 1.31/1.51 (step @p1214 :rule symm :premises (@p1213)) % 1.31/1.51 (step @p1215 :rule refl :args (@t1258)) % 1.31/1.51 (step @p1216 :rule eq_resolve :premises (@p1215 @p1214)) % 1.31/1.51 (step @p1217 :rule ho_cong :premises (@p1003 @p819)) % 1.31/1.51 (step @p1218 :rule trans :premises (@p1217 @p1216)) % 1.31/1.51 (step @p1219 :rule cong :premises (@p783 @p1218) :args (@t1276)) % 1.31/1.51 (step @p1220 :rule nary_cong :premises (@p798 @p1219) :args (@t2927)) % 1.31/1.51 (step @p1221 :rule cong :premises (@p1220) :args ((forall @t1138 @t2927))) % 1.31/1.51 (step @p1222 :rule bool-impl-elim :args (@t1136 @t1276)) % 1.31/1.51 (step @p1223 :rule cong :premises (@p1222) :args (@t1277)) % 1.31/1.51 (step @p1224 :rule trans :premises (@p1223 @p1221)) % 1.31/1.51 (step @p1225 :rule refl :args (tptp.doubleComplementEq)) % 1.31/1.51 (step @p1226 :rule cong :premises (@p1225 @p1224) :args (@t1278)) % 1.31/1.51 (step @p1227 :rule eq_resolve :premises (@p248 @p1226)) % 1.31/1.51 (step @p1228 :rule cong :premises (@p1227 @p1208) :args (@t2928)) % 1.31/1.51 (step @p1229 :rule refl :args ((tptp.subset @t1258 @t695))) % 1.31/1.51 (step @p1230 :rule cong :premises (@p1211 @p783) :args (@t1644)) % 1.31/1.51 (step @p1231 :rule trans :premises (@p1230 @p1229)) % 1.31/1.51 (step @p1232 :rule ho_cong :premises (@p1053 @p1211)) % 1.31/1.51 (step @p1233 :rule ho_cong :premises (@p1232 @p783)) % 1.31/1.51 (step @p1234 :rule cong :premises (@p1233 @p1231) :args ((= (_ (_ tptp.subset @t1643) @t695) @t1644))) % 1.31/1.51 (step @p1235 :rule symm :premises (@p1234)) % 1.31/1.51 (step @p1236 :rule refl :args (@t1273)) % 1.31/1.51 (step @p1237 :rule eq_resolve :premises (@p1236 @p1235)) % 1.31/1.51 (step @p1238 :rule ho_cong :premises (@p1053 @p1218)) % 1.31/1.51 (step @p1239 :rule ho_cong :premises (@p1238 @p783)) % 1.31/1.51 (step @p1240 :rule trans :premises (@p1239 @p1237)) % 1.31/1.51 (step @p1241 :rule nary_cong :premises (@p798 @p1240) :args (@t2929)) % 1.31/1.51 (step @p1242 :rule cong :premises (@p1241) :args ((forall @t1138 @t2929))) % 1.31/1.51 (step @p1243 :rule bool-impl-elim :args (@t1136 @t1273)) % 1.31/1.51 (step @p1244 :rule cong :premises (@p1243) :args (@t1274)) % 1.31/1.51 (step @p1245 :rule trans :premises (@p1244 @p1242)) % 1.31/1.51 (step @p1246 :rule refl :args (tptp.doubleComplementSub2)) % 1.31/1.51 (step @p1247 :rule cong :premises (@p1246 @p1245) :args (@t1275)) % 1.31/1.51 (step @p1248 :rule eq_resolve :premises (@p247 @p1247)) % 1.31/1.51 (step @p1249 :rule cong :premises (@p1248 @p1228) :args (@t2930)) % 1.31/1.51 (step @p1250 :rule refl :args ((tptp.subset @t695 @t1258))) % 1.31/1.51 (step @p1251 :rule cong :premises (@p783 @p1211) :args (@t1645)) % 1.31/1.51 (step @p1252 :rule trans :premises (@p1251 @p1250)) % 1.31/1.51 (step @p1253 :rule ho_cong :premises (@p826 @p1211)) % 1.31/1.51 (step @p1254 :rule cong :premises (@p1253 @p1252) :args ((= (_ @t1176 @t1643) @t1645))) % 1.31/1.51 (step @p1255 :rule symm :premises (@p1254)) % 1.31/1.51 (step @p1256 :rule refl :args (@t1270)) % 1.31/1.51 (step @p1257 :rule eq_resolve :premises (@p1256 @p1255)) % 1.31/1.51 (step @p1258 :rule ho_cong :premises (@p826 @p1218)) % 1.31/1.51 (step @p1259 :rule trans :premises (@p1258 @p1257)) % 1.31/1.51 (step @p1260 :rule nary_cong :premises (@p798 @p1259) :args (@t2931)) % 1.31/1.51 (step @p1261 :rule cong :premises (@p1260) :args ((forall @t1138 @t2931))) % 1.31/1.51 (step @p1262 :rule bool-impl-elim :args (@t1136 @t1270)) % 1.31/1.51 (step @p1263 :rule cong :premises (@p1262) :args (@t1271)) % 1.31/1.51 (step @p1264 :rule trans :premises (@p1263 @p1261)) % 1.31/1.51 (step @p1265 :rule refl :args (tptp.doubleComplementSub1)) % 1.31/1.51 (step @p1266 :rule cong :premises (@p1265 @p1264) :args (@t1272)) % 1.31/1.51 (step @p1267 :rule eq_resolve :premises (@p246 @p1266)) % 1.31/1.51 (step @p1268 :rule cong :premises (@p1267 @p1249) :args (@t2932)) % 1.31/1.51 (step @p1269 :rule aci_norm :args ((= @t2934 @t1650))) % 1.31/1.51 (step @p1270 :rule cong :premises (@p1269) :args (@t2935)) % 1.31/1.51 (step @p1271 :rule quant-merge-prenex :args ((= (forall @t1138 @t2937) @t2935))) % 1.31/1.51 (step @p1272 :rule alpha_equiv :args (@t2938 (@list @t1646) @t2833)) % 1.31/1.51 (step @p1273 :rule nary_cong :premises (@p772 @p1272) :args (@t2939)) % 1.31/1.51 (step @p1274 :rule quant-miniscope-or :args ((= @t2937 @t2939))) % 1.31/1.51 (step @p1275 :rule trans :premises (@p1274 @p1273)) % 1.31/1.51 (step @p1276 :rule symm :premises (@p1275)) % 1.31/1.51 (step @p1277 :rule cong :premises (@p1276) :args ((forall @t1138 (or @t1597 @t2941)))) % 1.31/1.51 (step @p1278 :rule trans :premises (@p1277 @p1271)) % 1.31/1.51 (step @p1279 :rule trans :premises (@p1278 @p1270)) % 1.31/1.51 (step @p1280 :rule refl :args (@t2941)) % 1.31/1.51 (step @p1281 :rule nary_cong :premises (@p798 @p1280) :args (@t2942)) % 1.31/1.51 (step @p1282 :rule cong :premises (@p1281) :args ((forall @t1138 @t2942))) % 1.31/1.51 (step @p1283 :rule trans :premises (@p1282 @p1279)) % 1.31/1.51 (step @p1284 :rule bool-impl-elim :args (@t1136 @t2941)) % 1.31/1.51 (step @p1285 :rule cong :premises (@p1284) :args ((forall @t1138 (=> @t1136 @t2941)))) % 1.31/1.51 (step @p1286 :rule trans :premises (@p1285 @p1283)) % 1.31/1.51 (step @p1287 :rule refl :args (@t1727)) % 1.31/1.51 (step @p1288 :rule refl :args (@t696)) % 1.31/1.51 (step @p1289 :rule cong :premises (@p1288 @p1287) :args ((= @t696 @t1727))) % 1.31/1.51 (step @p1290 :rule symm :premises (@p1289)) % 1.31/1.51 (step @p1291 :rule eq_resolve :premises (@p1288 @p1290)) % 1.31/1.51 (step @p1292 :rule refl :args ((tptp.in @t4 @t1258))) % 1.31/1.51 (step @p1293 :rule cong :premises (@p914 @p1211) :args (@t2940)) % 1.31/1.51 (step @p1294 :rule trans :premises (@p1293 @p1292)) % 1.31/1.51 (step @p1295 :rule ho_cong :premises (@p917 @p1211)) % 1.31/1.51 (step @p1296 :rule cong :premises (@p1295 @p1294) :args ((= (_ @t5 @t1643) @t2940))) % 1.31/1.51 (step @p1297 :rule symm :premises (@p1296)) % 1.31/1.51 (step @p1298 :rule refl :args (@t1259)) % 1.31/1.51 (step @p1299 :rule eq_resolve :premises (@p1298 @p1297)) % 1.31/1.51 (step @p1300 :rule ho_cong :premises (@p917 @p1218)) % 1.31/1.51 (step @p1301 :rule trans :premises (@p1300 @p1299)) % 1.31/1.51 (step @p1302 :rule cong :premises (@p1301) :args (@t2943)) % 1.31/1.51 (step @p1303 :rule nary_cong :premises (@p936 @p1302 @p1291) :args (@t2944)) % 1.31/1.51 (step @p1304 :rule cong :premises (@p1303) :args ((forall @t9 @t2944))) % 1.31/1.51 (step @p1305 :rule aci_norm :args ((= (or @t197 (or @t2943 @t696)) @t2944))) % 1.31/1.51 (step @p1306 :rule bool-impl-elim :args (@t1259 @t696)) % 1.31/1.51 (step @p1307 :rule nary_cong :premises (@p941 @p1306) :args ((or @t197 @t1265))) % 1.31/1.51 (step @p1308 :rule trans :premises (@p1307 @p1305)) % 1.31/1.51 (step @p1309 :rule bool-impl-elim :args (@t7 @t1265)) % 1.31/1.51 (step @p1310 :rule trans :premises (@p1309 @p1308)) % 1.31/1.51 (step @p1311 :rule cong :premises (@p1310) :args (@t1266)) % 1.31/1.51 (step @p1312 :rule trans :premises (@p1311 @p1304)) % 1.31/1.51 (step @p1313 :rule cong :premises (@p862 @p1312) :args (@t1267)) % 1.31/1.51 (step @p1314 :rule cong :premises (@p1313) :args (@t1268)) % 1.31/1.51 (step @p1315 :rule trans :premises (@p1314 @p1286)) % 1.31/1.51 (step @p1316 :rule refl :args (tptp.doubleComplementE1)) % 1.31/1.51 (step @p1317 :rule cong :premises (@p1316 @p1315) :args (@t1269)) % 1.31/1.51 (step @p1318 :rule eq_resolve :premises (@p245 @p1317)) % 1.31/1.51 (step @p1319 :rule cong :premises (@p1318 @p1268) :args (@t2945)) % 1.31/1.51 (step @p1320 :rule aci_norm :args ((= @t2947 @t1656))) % 1.31/1.51 (step @p1321 :rule cong :premises (@p1320) :args (@t2948)) % 1.31/1.51 (step @p1322 :rule quant-merge-prenex :args ((= (forall @t1138 @t2950) @t2948))) % 1.31/1.51 (step @p1323 :rule alpha_equiv :args (@t2951 (@list @t1652) @t2833)) % 1.31/1.51 (step @p1324 :rule nary_cong :premises (@p772 @p1323) :args (@t2952)) % 1.31/1.51 (step @p1325 :rule quant-miniscope-or :args ((= @t2950 @t2952))) % 1.31/1.51 (step @p1326 :rule trans :premises (@p1325 @p1324)) % 1.31/1.51 (step @p1327 :rule symm :premises (@p1326)) % 1.31/1.51 (step @p1328 :rule cong :premises (@p1327) :args ((forall @t1138 (or @t1597 @t2953)))) % 1.31/1.51 (step @p1329 :rule trans :premises (@p1328 @p1322)) % 1.31/1.51 (step @p1330 :rule trans :premises (@p1329 @p1321)) % 1.31/1.51 (step @p1331 :rule refl :args (@t2953)) % 1.31/1.51 (step @p1332 :rule nary_cong :premises (@p798 @p1331) :args (@t2954)) % 1.31/1.51 (step @p1333 :rule cong :premises (@p1332) :args ((forall @t1138 @t2954))) % 1.31/1.51 (step @p1334 :rule trans :premises (@p1333 @p1330)) % 1.31/1.51 (step @p1335 :rule bool-impl-elim :args (@t1136 @t2953)) % 1.31/1.51 (step @p1336 :rule cong :premises (@p1335) :args ((forall @t1138 (=> @t1136 @t2953)))) % 1.31/1.51 (step @p1337 :rule trans :premises (@p1336 @p1334)) % 1.31/1.51 (step @p1338 :rule cong :premises (@p1291) :args (@t1213)) % 1.31/1.51 (step @p1339 :rule nary_cong :premises (@p936 @p1338 @p1301) :args (@t2955)) % 1.31/1.51 (step @p1340 :rule cong :premises (@p1339) :args ((forall @t9 @t2955))) % 1.31/1.51 (step @p1341 :rule aci_norm :args ((= (or @t197 (or @t1213 @t1259)) @t2955))) % 1.31/1.51 (step @p1342 :rule bool-impl-elim :args (@t696 @t1259)) % 1.31/1.51 (step @p1343 :rule nary_cong :premises (@p941 @p1342) :args ((or @t197 @t1260))) % 1.31/1.51 (step @p1344 :rule trans :premises (@p1343 @p1341)) % 1.31/1.51 (step @p1345 :rule bool-impl-elim :args (@t7 @t1260)) % 1.31/1.51 (step @p1346 :rule trans :premises (@p1345 @p1344)) % 1.31/1.51 (step @p1347 :rule cong :premises (@p1346) :args (@t1261)) % 1.31/1.51 (step @p1348 :rule trans :premises (@p1347 @p1340)) % 1.31/1.51 (step @p1349 :rule cong :premises (@p862 @p1348) :args (@t1262)) % 1.31/1.51 (step @p1350 :rule cong :premises (@p1349) :args (@t1263)) % 1.31/1.51 (step @p1351 :rule trans :premises (@p1350 @p1337)) % 1.31/1.51 (step @p1352 :rule refl :args (tptp.doubleComplementI1)) % 1.31/1.51 (step @p1353 :rule cong :premises (@p1352 @p1351) :args (@t1264)) % 1.31/1.51 (step @p1354 :rule eq_resolve :premises (@p244 @p1353)) % 1.31/1.51 (step @p1355 :rule cong :premises (@p1354 @p1319) :args (@t2956)) % 1.31/1.51 (step @p1356 :rule aci_norm :args ((= @t2958 @t1662))) % 1.31/1.51 (step @p1357 :rule cong :premises (@p1356) :args (@t2959)) % 1.31/1.51 (step @p1358 :rule quant-merge-prenex :args ((= (forall @t1138 @t2961) @t2959))) % 1.31/1.51 (step @p1359 :rule alpha_equiv :args (@t2962 (@list @t1658) @t2797)) % 1.31/1.51 (step @p1360 :rule nary_cong :premises (@p772 @p1359) :args (@t2963)) % 1.31/1.51 (step @p1361 :rule quant-miniscope-or :args ((= @t2961 @t2963))) % 1.31/1.51 (step @p1362 :rule trans :premises (@p1361 @p1360)) % 1.31/1.51 (step @p1363 :rule symm :premises (@p1362)) % 1.31/1.51 (step @p1364 :rule cong :premises (@p1363) :args ((forall @t1138 (or @t1597 @t2966)))) % 1.31/1.51 (step @p1365 :rule trans :premises (@p1364 @p1358)) % 1.31/1.51 (step @p1366 :rule trans :premises (@p1365 @p1357)) % 1.31/1.51 (step @p1367 :rule refl :args (@t2966)) % 1.31/1.51 (step @p1368 :rule nary_cong :premises (@p798 @p1367) :args (@t2967)) % 1.31/1.51 (step @p1369 :rule cong :premises (@p1368) :args ((forall @t1138 @t2967))) % 1.31/1.51 (step @p1370 :rule trans :premises (@p1369 @p1366)) % 1.31/1.51 (step @p1371 :rule bool-impl-elim :args (@t1136 @t2966)) % 1.31/1.51 (step @p1372 :rule cong :premises (@p1371) :args ((forall @t1138 (=> @t1136 @t2966)))) % 1.31/1.51 (step @p1373 :rule trans :premises (@p1372 @p1370)) % 1.31/1.51 (step @p1374 :rule refl :args (@t2964)) % 1.31/1.51 (step @p1375 :rule refl :args (@t1177)) % 1.31/1.51 (step @p1376 :rule cong :premises (@p1375 @p1374) :args ((= @t1177 @t2964))) % 1.31/1.51 (step @p1377 :rule symm :premises (@p1376)) % 1.31/1.51 (step @p1378 :rule eq_resolve :premises (@p1375 @p1377)) % 1.31/1.51 (step @p1379 :rule refl :args ((tptp.subset @t1230 @t1158))) % 1.31/1.51 (step @p1380 :rule cong :premises (@p823 @p806) :args (@t2965)) % 1.31/1.51 (step @p1381 :rule trans :premises (@p1380 @p1379)) % 1.31/1.51 (step @p1382 :rule ho_cong :premises (@p1053 @p823)) % 1.31/1.51 (step @p1383 :rule ho_cong :premises (@p1382 @p806)) % 1.31/1.51 (step @p1384 :rule cong :premises (@p1383 @p1381) :args ((= (_ (_ tptp.subset @t2800) @t1601) @t2965))) % 1.31/1.51 (step @p1385 :rule symm :premises (@p1384)) % 1.31/1.51 (step @p1386 :rule refl :args (@t1247)) % 1.31/1.51 (step @p1387 :rule eq_resolve :premises (@p1386 @p1385)) % 1.31/1.51 (step @p1388 :rule ho_cong :premises (@p1053 @p835)) % 1.31/1.51 (step @p1389 :rule ho_cong :premises (@p1388 @p819)) % 1.31/1.51 (step @p1390 :rule trans :premises (@p1389 @p1387)) % 1.31/1.51 (step @p1391 :rule cong :premises (@p1390) :args (@t2968)) % 1.31/1.51 (step @p1392 :rule nary_cong :premises (@p850 @p1391 @p1378) :args (@t2969)) % 1.31/1.51 (step @p1393 :rule cong :premises (@p1392) :args ((forall @t1134 @t2969))) % 1.31/1.51 (step @p1394 :rule aci_norm :args ((= (or @t2809 (or @t2968 @t1177)) @t2969))) % 1.31/1.51 (step @p1395 :rule bool-impl-elim :args (@t1247 @t1177)) % 1.31/1.51 (step @p1396 :rule nary_cong :premises (@p855 @p1395) :args ((or @t2809 @t1253))) % 1.31/1.51 (step @p1397 :rule trans :premises (@p1396 @p1394)) % 1.31/1.51 (step @p1398 :rule bool-impl-elim :args (@t1133 @t1253)) % 1.31/1.51 (step @p1399 :rule trans :premises (@p1398 @p1397)) % 1.31/1.51 (step @p1400 :rule cong :premises (@p1399) :args (@t1254)) % 1.31/1.51 (step @p1401 :rule trans :premises (@p1400 @p1393)) % 1.31/1.51 (step @p1402 :rule cong :premises (@p862 @p1401) :args (@t1255)) % 1.31/1.51 (step @p1403 :rule cong :premises (@p1402) :args (@t1256)) % 1.31/1.51 (step @p1404 :rule trans :premises (@p1403 @p1373)) % 1.31/1.51 (step @p1405 :rule refl :args (tptp.contrasubsetT3)) % 1.31/1.51 (step @p1406 :rule cong :premises (@p1405 @p1404) :args (@t1257)) % 1.31/1.51 (step @p1407 :rule eq_resolve :premises (@p243 @p1406)) % 1.31/1.51 (step @p1408 :rule cong :premises (@p1407 @p1355) :args (@t2970)) % 1.31/1.51 (step @p1409 :rule aci_norm :args ((= @t2972 @t1668))) % 1.31/1.51 (step @p1410 :rule cong :premises (@p1409) :args (@t2973)) % 1.31/1.51 (step @p1411 :rule quant-merge-prenex :args ((= (forall @t1138 @t2975) @t2973))) % 1.31/1.51 (step @p1412 :rule alpha_equiv :args (@t2976 (@list @t1664) @t2797)) % 1.31/1.51 (step @p1413 :rule nary_cong :premises (@p772 @p1412) :args (@t2977)) % 1.31/1.51 (step @p1414 :rule quant-miniscope-or :args ((= @t2975 @t2977))) % 1.31/1.51 (step @p1415 :rule trans :premises (@p1414 @p1413)) % 1.31/1.51 (step @p1416 :rule symm :premises (@p1415)) % 1.31/1.51 (step @p1417 :rule cong :premises (@p1416) :args ((forall @t1138 (or @t1597 @t2979)))) % 1.31/1.51 (step @p1418 :rule trans :premises (@p1417 @p1411)) % 1.31/1.51 (step @p1419 :rule trans :premises (@p1418 @p1410)) % 1.31/1.51 (step @p1420 :rule refl :args (@t2979)) % 1.31/1.51 (step @p1421 :rule nary_cong :premises (@p798 @p1420) :args (@t2980)) % 1.31/1.51 (step @p1422 :rule cong :premises (@p1421) :args ((forall @t1138 @t2980))) % 1.31/1.51 (step @p1423 :rule trans :premises (@p1422 @p1419)) % 1.31/1.51 (step @p1424 :rule bool-impl-elim :args (@t1136 @t2979)) % 1.31/1.51 (step @p1425 :rule cong :premises (@p1424) :args ((forall @t1138 (=> @t1136 @t2979)))) % 1.31/1.51 (step @p1426 :rule trans :premises (@p1425 @p1423)) % 1.31/1.51 (step @p1427 :rule cong :premises (@p1378) :args (@t2981)) % 1.31/1.51 (step @p1428 :rule nary_cong :premises (@p850 @p1427 @p1390) :args (@t2982)) % 1.31/1.51 (step @p1429 :rule cong :premises (@p1428) :args ((forall @t1134 @t2982))) % 1.31/1.51 (step @p1430 :rule aci_norm :args ((= (or @t2809 (or @t2981 @t1247)) @t2982))) % 1.31/1.51 (step @p1431 :rule bool-impl-elim :args (@t1177 @t1247)) % 1.31/1.51 (step @p1432 :rule nary_cong :premises (@p855 @p1431) :args ((or @t2809 @t1248))) % 1.31/1.51 (step @p1433 :rule trans :premises (@p1432 @p1430)) % 1.31/1.51 (step @p1434 :rule bool-impl-elim :args (@t1133 @t1248)) % 1.31/1.51 (step @p1435 :rule trans :premises (@p1434 @p1433)) % 1.31/1.51 (step @p1436 :rule cong :premises (@p1435) :args (@t1249)) % 1.31/1.51 (step @p1437 :rule trans :premises (@p1436 @p1429)) % 1.31/1.51 (step @p1438 :rule cong :premises (@p862 @p1437) :args (@t1250)) % 1.31/1.51 (step @p1439 :rule cong :premises (@p1438) :args (@t1251)) % 1.31/1.51 (step @p1440 :rule trans :premises (@p1439 @p1426)) % 1.31/1.51 (step @p1441 :rule refl :args (tptp.contrasubsetT2)) % 1.31/1.51 (step @p1442 :rule cong :premises (@p1441 @p1440) :args (@t1252)) % 1.31/1.51 (step @p1443 :rule eq_resolve :premises (@p242 @p1442)) % 1.31/1.51 (step @p1444 :rule cong :premises (@p1443 @p1408) :args (@t2983)) % 1.31/1.51 (step @p1445 :rule aci_norm :args ((= @t2985 @t1677))) % 1.31/1.51 (step @p1446 :rule cong :premises (@p1445) :args (@t2986)) % 1.31/1.51 (step @p1447 :rule quant-merge-prenex :args ((= (forall @t1138 @t2988) @t2986))) % 1.31/1.51 (step @p1448 :rule alpha_equiv :args (@t2989 (@list @t1672 @t1670) (@list @t1129 @t2990))) % 1.31/1.51 (step @p1449 :rule nary_cong :premises (@p772 @p1448) :args (@t2991)) % 1.31/1.51 (step @p1450 :rule quant-miniscope-or :args ((= @t2988 @t2991))) % 1.31/1.51 (step @p1451 :rule trans :premises (@p1450 @p1449)) % 1.31/1.51 (step @p1452 :rule symm :premises (@p1451)) % 1.31/1.51 (step @p1453 :rule cong :premises (@p1452) :args ((forall @t1138 (or @t1597 @t2997)))) % 1.31/1.51 (step @p1454 :rule trans :premises (@p1453 @p1447)) % 1.31/1.51 (step @p1455 :rule trans :premises (@p1454 @p1446)) % 1.31/1.51 (step @p1456 :rule refl :args (@t2997)) % 1.31/1.51 (step @p1457 :rule nary_cong :premises (@p798 @p1456) :args (@t2998)) % 1.31/1.51 (step @p1458 :rule cong :premises (@p1457) :args ((forall @t1138 @t2998))) % 1.31/1.51 (step @p1459 :rule trans :premises (@p1458 @p1455)) % 1.31/1.51 (step @p1460 :rule bool-impl-elim :args (@t1136 @t2997)) % 1.31/1.51 (step @p1461 :rule cong :premises (@p1460) :args ((forall @t1138 (=> @t1136 @t2997)))) % 1.31/1.51 (step @p1462 :rule trans :premises (@p1461 @p1459)) % 1.31/1.51 (step @p1463 :rule aci_norm :args ((= @t3000 @t2995))) % 1.31/1.51 (step @p1464 :rule cong :premises (@p1463) :args (@t3001)) % 1.31/1.51 (step @p1465 :rule quant-merge-prenex :args ((= (forall @t1134 @t3003) @t3001))) % 1.31/1.51 (step @p1466 :rule alpha_equiv :args (@t3004 (@list @t2990) @t2833)) % 1.31/1.51 (step @p1467 :rule refl :args (@t2978)) % 1.31/1.51 (step @p1468 :rule nary_cong :premises (@p893 @p1467 @p1466) :args (@t3005)) % 1.31/1.51 (step @p1469 :rule quant-miniscope-or :args ((= @t3003 @t3005))) % 1.31/1.51 (step @p1470 :rule trans :premises (@p1469 @p1468)) % 1.31/1.51 (step @p1471 :rule symm :premises (@p1470)) % 1.31/1.51 (step @p1472 :rule cong :premises (@p1471) :args ((forall @t1134 (or @t2804 @t2978 @t3006)))) % 1.31/1.51 (step @p1473 :rule trans :premises (@p1472 @p1465)) % 1.31/1.51 (step @p1474 :rule trans :premises (@p1473 @p1464)) % 1.31/1.51 (step @p1475 :rule refl :args (@t3006)) % 1.31/1.51 (step @p1476 :rule nary_cong :premises (@p850 @p1427 @p1475) :args (@t3007)) % 1.31/1.51 (step @p1477 :rule cong :premises (@p1476) :args ((forall @t1134 @t3007))) % 1.31/1.51 (step @p1478 :rule trans :premises (@p1477 @p1474)) % 1.31/1.51 (step @p1479 :rule aci_norm :args ((= (or @t2809 @t3008) @t3007))) % 1.31/1.51 (step @p1480 :rule bool-impl-elim :args (@t1133 @t3008)) % 1.31/1.51 (step @p1481 :rule trans :premises (@p1480 @p1479)) % 1.31/1.51 (step @p1482 :rule cong :premises (@p1481) :args ((forall @t1134 (=> @t1133 @t3008)))) % 1.31/1.51 (step @p1483 :rule trans :premises (@p1482 @p1478)) % 1.31/1.51 (step @p1484 :rule nary_cong :premises (@p936 @p929 @p1338) :args (@t3009)) % 1.31/1.51 (step @p1485 :rule cong :premises (@p1484) :args (@t3010)) % 1.31/1.51 (step @p1486 :rule refl :args (@t2981)) % 1.31/1.51 (step @p1487 :rule nary_cong :premises (@p1486 @p1485) :args (@t3011)) % 1.31/1.51 (step @p1488 :rule quant-miniscope-or :args ((= (forall @t9 @t3012) @t3011))) % 1.31/1.51 (step @p1489 :rule aci_norm :args ((= @t3013 @t3012))) % 1.31/1.51 (step @p1490 :rule cong :premises (@p1489) :args ((forall @t9 @t3013))) % 1.31/1.51 (step @p1491 :rule trans :premises (@p1490 @p1488)) % 1.31/1.51 (step @p1492 :rule trans :premises (@p1491 @p1487)) % 1.31/1.51 (step @p1493 :rule aci_norm :args ((= (or @t197 @t3014) @t3013))) % 1.31/1.51 (step @p1494 :rule aci_norm :args ((= (or @t2981 (or @t1164 @t1213)) @t3014))) % 1.31/1.51 (step @p1495 :rule refl :args (@t1213)) % 1.31/1.51 (step @p1496 :rule bool-double-not-elim :args (@t1164)) % 1.31/1.51 (step @p1497 :rule nary_cong :premises (@p1496 @p1495) :args ((or @t3015 @t1213))) % 1.31/1.51 (step @p1498 :rule bool-impl-elim :args (@t1221 @t1213)) % 1.31/1.51 (step @p1499 :rule trans :premises (@p1498 @p1497)) % 1.31/1.51 (step @p1500 :rule refl :args (@t2981)) % 1.31/1.51 (step @p1501 :rule nary_cong :premises (@p1500 @p1499) :args ((or @t2981 @t1239))) % 1.31/1.51 (step @p1502 :rule trans :premises (@p1501 @p1494)) % 1.31/1.51 (step @p1503 :rule bool-impl-elim :args (@t1177 @t1239)) % 1.31/1.51 (step @p1504 :rule trans :premises (@p1503 @p1502)) % 1.31/1.51 (step @p1505 :rule nary_cong :premises (@p941 @p1504) :args ((or @t197 @t1240))) % 1.31/1.51 (step @p1506 :rule trans :premises (@p1505 @p1493)) % 1.31/1.51 (step @p1507 :rule bool-impl-elim :args (@t7 @t1240)) % 1.31/1.51 (step @p1508 :rule trans :premises (@p1507 @p1506)) % 1.31/1.51 (step @p1509 :rule cong :premises (@p1508) :args (@t1241)) % 1.31/1.51 (step @p1510 :rule trans :premises (@p1509 @p1492)) % 1.31/1.51 (step @p1511 :rule cong :premises (@p950 @p1510) :args (@t1242)) % 1.31/1.51 (step @p1512 :rule cong :premises (@p1511) :args (@t1243)) % 1.31/1.51 (step @p1513 :rule trans :premises (@p1512 @p1483)) % 1.31/1.51 (step @p1514 :rule cong :premises (@p862 @p1513) :args (@t1244)) % 1.31/1.51 (step @p1515 :rule cong :premises (@p1514) :args (@t1245)) % 1.31/1.51 (step @p1516 :rule trans :premises (@p1515 @p1462)) % 1.31/1.51 (step @p1517 :rule refl :args (tptp.contrasubsetT1)) % 1.31/1.51 (step @p1518 :rule cong :premises (@p1517 @p1516) :args (@t1246)) % 1.31/1.51 (step @p1519 :rule eq_resolve :premises (@p241 @p1518)) % 1.31/1.51 (step @p1520 :rule cong :premises (@p1519 @p1444) :args (@t3016)) % 1.31/1.51 (step @p1521 :rule aci_norm :args ((= @t3018 @t1686))) % 1.31/1.51 (step @p1522 :rule cong :premises (@p1521) :args (@t3019)) % 1.31/1.51 (step @p1523 :rule quant-merge-prenex :args ((= (forall @t1138 @t3021) @t3019))) % 1.31/1.51 (step @p1524 :rule alpha_equiv :args (@t3022 (@list @t1681 @t1679) (@list @t1129 @t3023))) % 1.31/1.51 (step @p1525 :rule nary_cong :premises (@p772 @p1524) :args (@t3024)) % 1.31/1.51 (step @p1526 :rule quant-miniscope-or :args ((= @t3021 @t3024))) % 1.31/1.51 (step @p1527 :rule trans :premises (@p1526 @p1525)) % 1.31/1.51 (step @p1528 :rule symm :premises (@p1527)) % 1.31/1.51 (step @p1529 :rule cong :premises (@p1528) :args ((forall @t1138 (or @t1597 @t3030)))) % 1.31/1.51 (step @p1530 :rule trans :premises (@p1529 @p1523)) % 1.31/1.51 (step @p1531 :rule trans :premises (@p1530 @p1522)) % 1.31/1.51 (step @p1532 :rule refl :args (@t3030)) % 1.31/1.51 (step @p1533 :rule nary_cong :premises (@p798 @p1532) :args (@t3031)) % 1.31/1.51 (step @p1534 :rule cong :premises (@p1533) :args ((forall @t1138 @t3031))) % 1.31/1.51 (step @p1535 :rule trans :premises (@p1534 @p1531)) % 1.31/1.51 (step @p1536 :rule bool-impl-elim :args (@t1136 @t3030)) % 1.31/1.51 (step @p1537 :rule cong :premises (@p1536) :args ((forall @t1138 (=> @t1136 @t3030)))) % 1.31/1.51 (step @p1538 :rule trans :premises (@p1537 @p1535)) % 1.31/1.51 (step @p1539 :rule aci_norm :args ((= @t3033 @t3028))) % 1.31/1.51 (step @p1540 :rule cong :premises (@p1539) :args (@t3034)) % 1.31/1.51 (step @p1541 :rule quant-merge-prenex :args ((= (forall @t1134 @t3036) @t3034))) % 1.31/1.51 (step @p1542 :rule alpha_equiv :args (@t3037 (@list @t3023) @t2833)) % 1.31/1.51 (step @p1543 :rule nary_cong :premises (@p893 @p892 @p1542) :args (@t3038)) % 1.31/1.51 (step @p1544 :rule quant-miniscope-or :args ((= @t3036 @t3038))) % 1.31/1.51 (step @p1545 :rule trans :premises (@p1544 @p1543)) % 1.31/1.51 (step @p1546 :rule symm :premises (@p1545)) % 1.31/1.51 (step @p1547 :rule cong :premises (@p1546) :args ((forall @t1134 (or @t2804 @t2802 @t3039)))) % 1.31/1.51 (step @p1548 :rule trans :premises (@p1547 @p1541)) % 1.31/1.51 (step @p1549 :rule trans :premises (@p1548 @p1540)) % 1.31/1.51 (step @p1550 :rule refl :args (@t3039)) % 1.31/1.51 (step @p1551 :rule nary_cong :premises (@p850 @p838 @p1550) :args (@t3040)) % 1.31/1.51 (step @p1552 :rule cong :premises (@p1551) :args ((forall @t1134 @t3040))) % 1.31/1.51 (step @p1553 :rule trans :premises (@p1552 @p1549)) % 1.31/1.51 (step @p1554 :rule aci_norm :args ((= (or @t2809 @t3041) @t3040))) % 1.31/1.51 (step @p1555 :rule bool-impl-elim :args (@t1133 @t3041)) % 1.31/1.51 (step @p1556 :rule trans :premises (@p1555 @p1554)) % 1.31/1.51 (step @p1557 :rule cong :premises (@p1556) :args ((forall @t1134 (=> @t1133 @t3041)))) % 1.31/1.51 (step @p1558 :rule trans :premises (@p1557 @p1553)) % 1.31/1.51 (step @p1559 :rule nary_cong :premises (@p936 @p930 @p1338) :args (@t3042)) % 1.31/1.51 (step @p1560 :rule cong :premises (@p1559) :args (@t3043)) % 1.31/1.51 (step @p1561 :rule refl :args (@t2808)) % 1.31/1.51 (step @p1562 :rule nary_cong :premises (@p1561 @p1560) :args (@t3044)) % 1.31/1.51 (step @p1563 :rule quant-miniscope-or :args ((= (forall @t9 @t3045) @t3044))) % 1.31/1.51 (step @p1564 :rule aci_norm :args ((= @t3046 @t3045))) % 1.31/1.51 (step @p1565 :rule cong :premises (@p1564) :args ((forall @t9 @t3046))) % 1.31/1.51 (step @p1566 :rule trans :premises (@p1565 @p1563)) % 1.31/1.51 (step @p1567 :rule trans :premises (@p1566 @p1562)) % 1.31/1.51 (step @p1568 :rule aci_norm :args ((= (or @t197 @t3047) @t3046))) % 1.31/1.51 (step @p1569 :rule aci_norm :args ((= (or @t2808 (or @t1221 @t1213)) @t3047))) % 1.31/1.51 (step @p1570 :rule bool-impl-elim :args (@t1164 @t1213)) % 1.31/1.51 (step @p1571 :rule refl :args (@t2808)) % 1.31/1.51 (step @p1572 :rule nary_cong :premises (@p1571 @p1570) :args ((or @t2808 @t1229))) % 1.31/1.51 (step @p1573 :rule trans :premises (@p1572 @p1569)) % 1.31/1.51 (step @p1574 :rule bool-impl-elim :args (@t1231 @t1229)) % 1.31/1.51 (step @p1575 :rule trans :premises (@p1574 @p1573)) % 1.31/1.51 (step @p1576 :rule nary_cong :premises (@p941 @p1575) :args ((or @t197 @t1232))) % 1.31/1.51 (step @p1577 :rule trans :premises (@p1576 @p1568)) % 1.31/1.51 (step @p1578 :rule bool-impl-elim :args (@t7 @t1232)) % 1.31/1.51 (step @p1579 :rule trans :premises (@p1578 @p1577)) % 1.31/1.51 (step @p1580 :rule cong :premises (@p1579) :args (@t1233)) % 1.31/1.51 (step @p1581 :rule trans :premises (@p1580 @p1567)) % 1.31/1.51 (step @p1582 :rule cong :premises (@p950 @p1581) :args (@t1234)) % 1.31/1.51 (step @p1583 :rule cong :premises (@p1582) :args (@t1235)) % 1.31/1.51 (step @p1584 :rule trans :premises (@p1583 @p1558)) % 1.31/1.51 (step @p1585 :rule cong :premises (@p862 @p1584) :args (@t1236)) % 1.31/1.51 (step @p1586 :rule cong :premises (@p1585) :args (@t1237)) % 1.31/1.51 (step @p1587 :rule trans :premises (@p1586 @p1538)) % 1.31/1.51 (step @p1588 :rule refl :args (tptp.contrasubsetT)) % 1.31/1.51 (step @p1589 :rule cong :premises (@p1588 @p1587) :args (@t1238)) % 1.31/1.51 (step @p1590 :rule eq_resolve :premises (@p240 @p1589)) % 1.31/1.51 (step @p1591 :rule cong :premises (@p1590 @p1520) :args (@t3048)) % 1.31/1.51 (step @p1592 :rule aci_norm :args ((= @t3050 @t1694))) % 1.31/1.51 (step @p1593 :rule cong :premises (@p1592) :args (@t3051)) % 1.31/1.51 (step @p1594 :rule quant-merge-prenex :args ((= (forall @t1138 @t3053) @t3051))) % 1.31/1.51 (step @p1595 :rule alpha_equiv :args (@t3054 (@list @t1688 @t1689) (@list @t1129 @t3055))) % 1.31/1.51 (step @p1596 :rule nary_cong :premises (@p772 @p1595) :args (@t3056)) % 1.31/1.51 (step @p1597 :rule quant-miniscope-or :args ((= @t3053 @t3056))) % 1.31/1.51 (step @p1598 :rule trans :premises (@p1597 @p1596)) % 1.31/1.51 (step @p1599 :rule symm :premises (@p1598)) % 1.31/1.51 (step @p1600 :rule cong :premises (@p1599) :args ((forall @t1138 (or @t1597 @t3062)))) % 1.31/1.51 (step @p1601 :rule trans :premises (@p1600 @p1594)) % 1.31/1.51 (step @p1602 :rule trans :premises (@p1601 @p1593)) % 1.31/1.51 (step @p1603 :rule refl :args (@t3062)) % 1.31/1.51 (step @p1604 :rule nary_cong :premises (@p798 @p1603) :args (@t3063)) % 1.31/1.51 (step @p1605 :rule cong :premises (@p1604) :args ((forall @t1138 @t3063))) % 1.31/1.51 (step @p1606 :rule trans :premises (@p1605 @p1602)) % 1.31/1.51 (step @p1607 :rule bool-impl-elim :args (@t1136 @t3062)) % 1.31/1.51 (step @p1608 :rule cong :premises (@p1607) :args ((forall @t1138 (=> @t1136 @t3062)))) % 1.31/1.51 (step @p1609 :rule trans :premises (@p1608 @p1606)) % 1.31/1.51 (step @p1610 :rule aci_norm :args ((= @t3065 @t3060))) % 1.31/1.51 (step @p1611 :rule cong :premises (@p1610) :args (@t3066)) % 1.31/1.51 (step @p1612 :rule quant-merge-prenex :args ((= (forall @t1134 @t3068) @t3066))) % 1.31/1.51 (step @p1613 :rule alpha_equiv :args (@t3069 (@list @t3055) @t2833)) % 1.31/1.51 (step @p1614 :rule nary_cong :premises (@p893 @p1613) :args (@t3070)) % 1.31/1.51 (step @p1615 :rule quant-miniscope-or :args ((= @t3068 @t3070))) % 1.31/1.51 (step @p1616 :rule trans :premises (@p1615 @p1614)) % 1.31/1.51 (step @p1617 :rule symm :premises (@p1616)) % 1.31/1.51 (step @p1618 :rule cong :premises (@p1617) :args ((forall @t1134 (or @t2804 @t3071)))) % 1.31/1.51 (step @p1619 :rule trans :premises (@p1618 @p1612)) % 1.31/1.51 (step @p1620 :rule trans :premises (@p1619 @p1611)) % 1.31/1.51 (step @p1621 :rule refl :args (@t3071)) % 1.31/1.51 (step @p1622 :rule nary_cong :premises (@p850 @p1621) :args (@t3072)) % 1.31/1.51 (step @p1623 :rule cong :premises (@p1622) :args ((forall @t1134 @t3072))) % 1.31/1.51 (step @p1624 :rule trans :premises (@p1623 @p1620)) % 1.31/1.51 (step @p1625 :rule bool-impl-elim :args (@t1133 @t3071)) % 1.31/1.51 (step @p1626 :rule cong :premises (@p1625) :args ((forall @t1134 (=> @t1133 @t3071)))) % 1.31/1.51 (step @p1627 :rule trans :premises (@p1626 @p1624)) % 1.31/1.51 (step @p1628 :rule nary_cong :premises (@p936 @p929 @p1188) :args (@t3073)) % 1.31/1.51 (step @p1629 :rule cong :premises (@p1628) :args ((forall @t9 @t3073))) % 1.31/1.51 (step @p1630 :rule aci_norm :args ((= (or @t197 (or @t1164 @t1212)) @t3073))) % 1.31/1.51 (step @p1631 :rule refl :args (@t1212)) % 1.31/1.51 (step @p1632 :rule nary_cong :premises (@p1496 @p1631) :args ((or @t3015 @t1212))) % 1.31/1.51 (step @p1633 :rule bool-impl-elim :args (@t1221 @t1212)) % 1.31/1.51 (step @p1634 :rule trans :premises (@p1633 @p1632)) % 1.31/1.51 (step @p1635 :rule nary_cong :premises (@p941 @p1634) :args ((or @t197 @t1222))) % 1.31/1.51 (step @p1636 :rule trans :premises (@p1635 @p1630)) % 1.31/1.51 (step @p1637 :rule bool-impl-elim :args (@t7 @t1222)) % 1.31/1.51 (step @p1638 :rule trans :premises (@p1637 @p1636)) % 1.31/1.51 (step @p1639 :rule cong :premises (@p1638) :args (@t1223)) % 1.31/1.51 (step @p1640 :rule trans :premises (@p1639 @p1629)) % 1.31/1.51 (step @p1641 :rule cong :premises (@p950 @p1640) :args (@t1224)) % 1.31/1.51 (step @p1642 :rule cong :premises (@p1641) :args (@t1225)) % 1.31/1.51 (step @p1643 :rule trans :premises (@p1642 @p1627)) % 1.31/1.51 (step @p1644 :rule cong :premises (@p862 @p1643) :args (@t1226)) % 1.31/1.51 (step @p1645 :rule cong :premises (@p1644) :args (@t1227)) % 1.31/1.51 (step @p1646 :rule trans :premises (@p1645 @p1609)) % 1.31/1.51 (step @p1647 :rule refl :args (tptp.binintersectTERcontra)) % 1.31/1.51 (step @p1648 :rule cong :premises (@p1647 @p1646) :args (@t1228)) % 1.31/1.51 (step @p1649 :rule eq_resolve :premises (@p239 @p1648)) % 1.31/1.51 (step @p1650 :rule cong :premises (@p1649 @p1591) :args (@t3074)) % 1.31/1.51 (step @p1651 :rule aci_norm :args ((= @t3076 @t1702))) % 1.31/1.51 (step @p1652 :rule cong :premises (@p1651) :args (@t3077)) % 1.31/1.51 (step @p1653 :rule quant-merge-prenex :args ((= (forall @t1138 @t3079) @t3077))) % 1.31/1.51 (step @p1654 :rule alpha_equiv :args (@t3080 (@list @t1696 @t1697) (@list @t1129 @t3081))) % 1.31/1.51 (step @p1655 :rule nary_cong :premises (@p772 @p1654) :args (@t3082)) % 1.31/1.51 (step @p1656 :rule quant-miniscope-or :args ((= @t3079 @t3082))) % 1.31/1.51 (step @p1657 :rule trans :premises (@p1656 @p1655)) % 1.31/1.51 (step @p1658 :rule symm :premises (@p1657)) % 1.31/1.51 (step @p1659 :rule cong :premises (@p1658) :args ((forall @t1138 (or @t1597 @t3088)))) % 1.31/1.51 (step @p1660 :rule trans :premises (@p1659 @p1653)) % 1.31/1.51 (step @p1661 :rule trans :premises (@p1660 @p1652)) % 1.31/1.51 (step @p1662 :rule refl :args (@t3088)) % 1.31/1.51 (step @p1663 :rule nary_cong :premises (@p798 @p1662) :args (@t3089)) % 1.31/1.51 (step @p1664 :rule cong :premises (@p1663) :args ((forall @t1138 @t3089))) % 1.31/1.51 (step @p1665 :rule trans :premises (@p1664 @p1661)) % 1.31/1.51 (step @p1666 :rule bool-impl-elim :args (@t1136 @t3088)) % 1.31/1.51 (step @p1667 :rule cong :premises (@p1666) :args ((forall @t1138 (=> @t1136 @t3088)))) % 1.31/1.51 (step @p1668 :rule trans :premises (@p1667 @p1665)) % 1.31/1.51 (step @p1669 :rule aci_norm :args ((= @t3091 @t3086))) % 1.31/1.51 (step @p1670 :rule cong :premises (@p1669) :args (@t3092)) % 1.31/1.51 (step @p1671 :rule quant-merge-prenex :args ((= (forall @t1134 @t3094) @t3092))) % 1.31/1.51 (step @p1672 :rule alpha_equiv :args (@t3095 (@list @t3081) @t2833)) % 1.31/1.51 (step @p1673 :rule nary_cong :premises (@p893 @p1672) :args (@t3096)) % 1.31/1.51 (step @p1674 :rule quant-miniscope-or :args ((= @t3094 @t3096))) % 1.31/1.51 (step @p1675 :rule trans :premises (@p1674 @p1673)) % 1.31/1.51 (step @p1676 :rule symm :premises (@p1675)) % 1.31/1.51 (step @p1677 :rule cong :premises (@p1676) :args ((forall @t1134 (or @t2804 @t3097)))) % 1.31/1.51 (step @p1678 :rule trans :premises (@p1677 @p1671)) % 1.31/1.51 (step @p1679 :rule trans :premises (@p1678 @p1670)) % 1.31/1.51 (step @p1680 :rule refl :args (@t3097)) % 1.31/1.51 (step @p1681 :rule nary_cong :premises (@p850 @p1680) :args (@t3098)) % 1.31/1.51 (step @p1682 :rule cong :premises (@p1681) :args ((forall @t1134 @t3098))) % 1.31/1.51 (step @p1683 :rule trans :premises (@p1682 @p1679)) % 1.31/1.51 (step @p1684 :rule bool-impl-elim :args (@t1133 @t3097)) % 1.31/1.51 (step @p1685 :rule cong :premises (@p1684) :args ((forall @t1134 (=> @t1133 @t3097)))) % 1.31/1.51 (step @p1686 :rule trans :premises (@p1685 @p1683)) % 1.31/1.51 (step @p1687 :rule nary_cong :premises (@p936 @p1291 @p1188) :args (@t3099)) % 1.31/1.51 (step @p1688 :rule cong :premises (@p1687) :args ((forall @t9 @t3099))) % 1.31/1.51 (step @p1689 :rule aci_norm :args ((= (or @t197 (or @t696 @t1212)) @t3099))) % 1.31/1.51 (step @p1690 :rule bool-double-not-elim :args (@t696)) % 1.31/1.51 (step @p1691 :rule nary_cong :premises (@p1690 @p1631) :args ((or (not @t1213) @t1212))) % 1.31/1.51 (step @p1692 :rule bool-impl-elim :args (@t1213 @t1212)) % 1.31/1.51 (step @p1693 :rule trans :premises (@p1692 @p1691)) % 1.31/1.51 (step @p1694 :rule nary_cong :premises (@p941 @p1693) :args ((or @t197 @t1214))) % 1.31/1.51 (step @p1695 :rule trans :premises (@p1694 @p1689)) % 1.31/1.51 (step @p1696 :rule bool-impl-elim :args (@t7 @t1214)) % 1.31/1.51 (step @p1697 :rule trans :premises (@p1696 @p1695)) % 1.31/1.51 (step @p1698 :rule cong :premises (@p1697) :args (@t1215)) % 1.31/1.51 (step @p1699 :rule trans :premises (@p1698 @p1688)) % 1.31/1.51 (step @p1700 :rule cong :premises (@p950 @p1699) :args (@t1216)) % 1.31/1.51 (step @p1701 :rule cong :premises (@p1700) :args (@t1217)) % 1.31/1.51 (step @p1702 :rule trans :premises (@p1701 @p1686)) % 1.31/1.51 (step @p1703 :rule cong :premises (@p862 @p1702) :args (@t1218)) % 1.31/1.51 (step @p1704 :rule cong :premises (@p1703) :args (@t1219)) % 1.31/1.51 (step @p1705 :rule trans :premises (@p1704 @p1668)) % 1.31/1.51 (step @p1706 :rule refl :args (tptp.binintersectTELcontra)) % 1.31/1.51 (step @p1707 :rule cong :premises (@p1706 @p1705) :args (@t1220)) % 1.31/1.51 (step @p1708 :rule eq_resolve :premises (@p238 @p1707)) % 1.31/1.51 (step @p1709 :rule cong :premises (@p1708 @p1650) :args (@t3100)) % 1.31/1.51 (step @p1710 :rule aci_norm :args ((= @t3102 @t1708))) % 1.31/1.51 (step @p1711 :rule cong :premises (@p1710) :args (@t3103)) % 1.31/1.51 (step @p1712 :rule quant-merge-prenex :args ((= (forall @t1138 @t3105) @t3103))) % 1.31/1.51 (step @p1713 :rule alpha_equiv :args (@t3106 (@list @t1704) @t2833)) % 1.31/1.51 (step @p1714 :rule nary_cong :premises (@p772 @p1713) :args (@t3107)) % 1.31/1.51 (step @p1715 :rule quant-miniscope-or :args ((= @t3105 @t3107))) % 1.31/1.51 (step @p1716 :rule trans :premises (@p1715 @p1714)) % 1.31/1.51 (step @p1717 :rule symm :premises (@p1716)) % 1.31/1.51 (step @p1718 :rule cong :premises (@p1717) :args ((forall @t1138 (or @t1597 @t3108)))) % 1.31/1.51 (step @p1719 :rule trans :premises (@p1718 @p1712)) % 1.31/1.51 (step @p1720 :rule trans :premises (@p1719 @p1711)) % 1.31/1.51 (step @p1721 :rule refl :args (@t3108)) % 1.31/1.51 (step @p1722 :rule nary_cong :premises (@p798 @p1721) :args (@t3109)) % 1.31/1.51 (step @p1723 :rule cong :premises (@p1722) :args ((forall @t1138 @t3109))) % 1.31/1.51 (step @p1724 :rule trans :premises (@p1723 @p1720)) % 1.31/1.51 (step @p1725 :rule bool-impl-elim :args (@t1136 @t3108)) % 1.31/1.51 (step @p1726 :rule cong :premises (@p1725) :args ((forall @t1138 (=> @t1136 @t3108)))) % 1.31/1.51 (step @p1727 :rule trans :premises (@p1726 @p1724)) % 1.31/1.51 (step @p1728 :rule nary_cong :premises (@p936 @p924 @p1291) :args (@t3110)) % 1.31/1.51 (step @p1729 :rule cong :premises (@p1728) :args ((forall @t9 @t3110))) % 1.31/1.51 (step @p1730 :rule aci_norm :args ((= (or @t197 (or @t1199 @t696)) @t3110))) % 1.31/1.51 (step @p1731 :rule bool-double-not-elim :args (@t1199)) % 1.31/1.51 (step @p1732 :rule nary_cong :premises (@p1731 @p1288) :args ((or (not @t1200) @t696))) % 1.31/1.51 (step @p1733 :rule bool-impl-elim :args (@t1200 @t696)) % 1.31/1.51 (step @p1734 :rule trans :premises (@p1733 @p1732)) % 1.31/1.51 (step @p1735 :rule nary_cong :premises (@p941 @p1734) :args ((or @t197 @t1206))) % 1.31/1.51 (step @p1736 :rule trans :premises (@p1735 @p1730)) % 1.31/1.51 (step @p1737 :rule bool-impl-elim :args (@t7 @t1206)) % 1.31/1.51 (step @p1738 :rule trans :premises (@p1737 @p1736)) % 1.31/1.51 (step @p1739 :rule cong :premises (@p1738) :args (@t1207)) % 1.31/1.51 (step @p1740 :rule trans :premises (@p1739 @p1729)) % 1.31/1.51 (step @p1741 :rule cong :premises (@p862 @p1740) :args (@t1208)) % 1.31/1.51 (step @p1742 :rule cong :premises (@p1741) :args (@t1209)) % 1.31/1.51 (step @p1743 :rule trans :premises (@p1742 @p1727)) % 1.31/1.51 (step @p1744 :rule refl :args (tptp.complementTE1)) % 1.31/1.51 (step @p1745 :rule cong :premises (@p1744 @p1743) :args (@t1210)) % 1.31/1.51 (step @p1746 :rule eq_resolve :premises (@p237 @p1745)) % 1.31/1.51 (step @p1747 :rule cong :premises (@p1746 @p1709) :args (@t3111)) % 1.31/1.51 (step @p1748 :rule aci_norm :args ((= @t3113 @t1714))) % 1.31/1.51 (step @p1749 :rule cong :premises (@p1748) :args (@t3114)) % 1.31/1.51 (step @p1750 :rule quant-merge-prenex :args ((= (forall @t1138 @t3116) @t3114))) % 1.31/1.51 (step @p1751 :rule alpha_equiv :args (@t3117 (@list @t1710) @t2833)) % 1.31/1.51 (step @p1752 :rule nary_cong :premises (@p772 @p1751) :args (@t3118)) % 1.31/1.51 (step @p1753 :rule quant-miniscope-or :args ((= @t3116 @t3118))) % 1.31/1.51 (step @p1754 :rule trans :premises (@p1753 @p1752)) % 1.31/1.51 (step @p1755 :rule symm :premises (@p1754)) % 1.31/1.51 (step @p1756 :rule cong :premises (@p1755) :args ((forall @t1138 (or @t1597 @t3119)))) % 1.31/1.51 (step @p1757 :rule trans :premises (@p1756 @p1750)) % 1.31/1.51 (step @p1758 :rule trans :premises (@p1757 @p1749)) % 1.31/1.51 (step @p1759 :rule refl :args (@t3119)) % 1.31/1.51 (step @p1760 :rule nary_cong :premises (@p798 @p1759) :args (@t3120)) % 1.31/1.52 (step @p1761 :rule cong :premises (@p1760) :args ((forall @t1138 @t3120))) % 1.31/1.52 (step @p1762 :rule trans :premises (@p1761 @p1758)) % 1.31/1.52 (step @p1763 :rule bool-impl-elim :args (@t1136 @t3119)) % 1.31/1.52 (step @p1764 :rule cong :premises (@p1763) :args ((forall @t1138 (=> @t1136 @t3119)))) % 1.31/1.52 (step @p1765 :rule trans :premises (@p1764 @p1762)) % 1.31/1.52 (step @p1766 :rule nary_cong :premises (@p936 @p1338 @p1121) :args (@t3121)) % 1.31/1.52 (step @p1767 :rule cong :premises (@p1766) :args ((forall @t9 @t3121))) % 1.31/1.52 (step @p1768 :rule aci_norm :args ((= (or @t197 (or @t1213 @t1200)) @t3121))) % 1.31/1.52 (step @p1769 :rule bool-impl-elim :args (@t696 @t1200)) % 1.31/1.52 (step @p1770 :rule nary_cong :premises (@p941 @p1769) :args ((or @t197 @t1201))) % 1.31/1.52 (step @p1771 :rule trans :premises (@p1770 @p1768)) % 1.31/1.52 (step @p1772 :rule bool-impl-elim :args (@t7 @t1201)) % 1.31/1.52 (step @p1773 :rule trans :premises (@p1772 @p1771)) % 1.31/1.52 (step @p1774 :rule cong :premises (@p1773) :args (@t1202)) % 1.31/1.52 (step @p1775 :rule trans :premises (@p1774 @p1767)) % 1.31/1.52 (step @p1776 :rule cong :premises (@p862 @p1775) :args (@t1203)) % 1.31/1.52 (step @p1777 :rule cong :premises (@p1776) :args (@t1204)) % 1.31/1.52 (step @p1778 :rule trans :premises (@p1777 @p1765)) % 1.31/1.52 (step @p1779 :rule refl :args (tptp.complementTI1)) % 1.31/1.52 (step @p1780 :rule cong :premises (@p1779 @p1778) :args (@t1205)) % 1.31/1.52 (step @p1781 :rule eq_resolve :premises (@p236 @p1780)) % 1.31/1.52 (step @p1782 :rule cong :premises (@p1781 @p1747) :args (@t3122)) % 1.31/1.52 (step @p1783 :rule aci_norm :args ((= @t3124 @t1723))) % 1.31/1.52 (step @p1784 :rule cong :premises (@p1783) :args (@t3125)) % 1.31/1.52 (step @p1785 :rule quant-merge-prenex :args ((= (forall @t1138 @t3127) @t3125))) % 1.31/1.52 (step @p1786 :rule alpha_equiv :args (@t3128 (@list @t1716 @t1717) (@list @t1129 @t3129))) % 1.31/1.52 (step @p1787 :rule nary_cong :premises (@p772 @p1786) :args (@t3130)) % 1.31/1.52 (step @p1788 :rule quant-miniscope-or :args ((= @t3127 @t3130))) % 1.31/1.52 (step @p1789 :rule trans :premises (@p1788 @p1787)) % 1.31/1.52 (step @p1790 :rule symm :premises (@p1789)) % 1.31/1.52 (step @p1791 :rule cong :premises (@p1790) :args ((forall @t1138 (or @t1597 @t3139)))) % 1.31/1.52 (step @p1792 :rule trans :premises (@p1791 @p1785)) % 1.31/1.52 (step @p1793 :rule trans :premises (@p1792 @p1784)) % 1.31/1.52 (step @p1794 :rule refl :args (@t3139)) % 1.31/1.52 (step @p1795 :rule nary_cong :premises (@p798 @p1794) :args (@t3140)) % 1.31/1.52 (step @p1796 :rule cong :premises (@p1795) :args ((forall @t1138 @t3140))) % 1.31/1.52 (step @p1797 :rule trans :premises (@p1796 @p1793)) % 1.31/1.52 (step @p1798 :rule bool-impl-elim :args (@t1136 @t3139)) % 1.31/1.52 (step @p1799 :rule cong :premises (@p1798) :args ((forall @t1138 (=> @t1136 @t3139)))) % 1.31/1.52 (step @p1800 :rule trans :premises (@p1799 @p1797)) % 1.31/1.52 (step @p1801 :rule aci_norm :args ((= @t3142 @t3137))) % 1.31/1.52 (step @p1802 :rule cong :premises (@p1801) :args (@t3143)) % 1.31/1.52 (step @p1803 :rule quant-merge-prenex :args ((= (forall @t1134 @t3145) @t3143))) % 1.31/1.52 (step @p1804 :rule alpha_equiv :args (@t3146 (@list @t3129) @t2833)) % 1.31/1.52 (step @p1805 :rule refl :args (@t3136)) % 1.31/1.52 (step @p1806 :rule nary_cong :premises (@p893 @p1805 @p1804) :args (@t3147)) % 1.31/1.52 (step @p1807 :rule quant-miniscope-or :args ((= @t3145 @t3147))) % 1.31/1.52 (step @p1808 :rule trans :premises (@p1807 @p1806)) % 1.31/1.52 (step @p1809 :rule symm :premises (@p1808)) % 1.31/1.52 (step @p1810 :rule cong :premises (@p1809) :args ((forall @t1134 (or @t2804 @t3136 @t3148)))) % 1.31/1.52 (step @p1811 :rule trans :premises (@p1810 @p1803)) % 1.31/1.52 (step @p1812 :rule trans :premises (@p1811 @p1802)) % 1.31/1.52 (step @p1813 :rule refl :args (@t3148)) % 1.31/1.52 (step @p1814 :rule refl :args ((tptp.in @t695 @t1184))) % 1.31/1.52 (step @p1815 :rule refl :args (@t3134)) % 1.31/1.52 (step @p1816 :rule cong :premises (@p783 @p1815) :args (@t3135)) % 1.31/1.52 (step @p1817 :rule trans :premises (@p1816 @p1814)) % 1.31/1.52 (step @p1818 :rule ho_cong :premises (@p786 @p1815)) % 1.31/1.52 (step @p1819 :rule cong :premises (@p1818 @p1817) :args ((= (_ @t697 @t3134) @t3135))) % 1.31/1.52 (step @p1820 :rule symm :premises (@p1819)) % 1.31/1.52 (step @p1821 :rule refl :args (@t1185)) % 1.31/1.52 (step @p1822 :rule eq_resolve :premises (@p1821 @p1820)) % 1.31/1.52 (step @p1823 :rule refl :args (@t1184)) % 1.31/1.52 (step @p1824 :rule cong :premises (@p1823 @p1815) :args ((= @t1184 @t3134))) % 1.31/1.52 (step @p1825 :rule symm :premises (@p1824)) % 1.31/1.52 (step @p1826 :rule eq_resolve :premises (@p1823 @p1825)) % 1.31/1.52 (step @p1827 :rule ho_cong :premises (@p786 @p1826)) % 1.31/1.52 (step @p1828 :rule trans :premises (@p1827 @p1822)) % 1.31/1.52 (step @p1829 :rule cong :premises (@p1828) :args (@t3149)) % 1.31/1.52 (step @p1830 :rule nary_cong :premises (@p850 @p1829 @p1813) :args (@t3150)) % 1.31/1.52 (step @p1831 :rule cong :premises (@p1830) :args ((forall @t1134 @t3150))) % 1.31/1.52 (step @p1832 :rule trans :premises (@p1831 @p1812)) % 1.31/1.52 (step @p1833 :rule aci_norm :args ((= (or @t2809 @t3151) @t3150))) % 1.31/1.52 (step @p1834 :rule bool-impl-elim :args (@t1133 @t3151)) % 1.31/1.52 (step @p1835 :rule trans :premises (@p1834 @p1833)) % 1.31/1.52 (step @p1836 :rule cong :premises (@p1835) :args ((forall @t1134 (=> @t1133 @t3151)))) % 1.31/1.52 (step @p1837 :rule trans :premises (@p1836 @p1832)) % 1.31/1.52 (step @p1838 :rule nary_cong :premises (@p936 @p1338 @p929) :args (@t3152)) % 1.31/1.52 (step @p1839 :rule cong :premises (@p1838) :args (@t3153)) % 1.31/1.52 (step @p1840 :rule refl :args (@t3149)) % 1.31/1.52 (step @p1841 :rule nary_cong :premises (@p1840 @p1839) :args (@t3154)) % 1.31/1.52 (step @p1842 :rule quant-miniscope-or :args ((= (forall @t9 @t3155) @t3154))) % 1.31/1.52 (step @p1843 :rule aci_norm :args ((= @t3156 @t3155))) % 1.31/1.52 (step @p1844 :rule cong :premises (@p1843) :args ((forall @t9 @t3156))) % 1.31/1.52 (step @p1845 :rule trans :premises (@p1844 @p1842)) % 1.31/1.52 (step @p1846 :rule trans :premises (@p1845 @p1841)) % 1.31/1.52 (step @p1847 :rule aci_norm :args ((= (or @t197 @t3157) @t3156))) % 1.31/1.52 (step @p1848 :rule aci_norm :args ((= (or @t3149 @t3158) @t3157))) % 1.31/1.52 (step @p1849 :rule bool-impl-elim :args (@t696 @t1164)) % 1.31/1.52 (step @p1850 :rule refl :args (@t3149)) % 1.31/1.52 (step @p1851 :rule nary_cong :premises (@p1850 @p1849) :args ((or @t3149 @t1168))) % 1.31/1.52 (step @p1852 :rule trans :premises (@p1851 @p1848)) % 1.31/1.52 (step @p1853 :rule bool-impl-elim :args (@t1185 @t1168)) % 1.31/1.52 (step @p1854 :rule trans :premises (@p1853 @p1852)) % 1.31/1.52 (step @p1855 :rule nary_cong :premises (@p941 @p1854) :args ((or @t197 @t1192))) % 1.31/1.52 (step @p1856 :rule trans :premises (@p1855 @p1847)) % 1.31/1.52 (step @p1857 :rule bool-impl-elim :args (@t7 @t1192)) % 1.31/1.52 (step @p1858 :rule trans :premises (@p1857 @p1856)) % 1.31/1.52 (step @p1859 :rule cong :premises (@p1858) :args (@t1193)) % 1.31/1.52 (step @p1860 :rule trans :premises (@p1859 @p1846)) % 1.31/1.52 (step @p1861 :rule cong :premises (@p950 @p1860) :args (@t1194)) % 1.31/1.52 (step @p1862 :rule cong :premises (@p1861) :args (@t1195)) % 1.31/1.52 (step @p1863 :rule trans :premises (@p1862 @p1837)) % 1.31/1.52 (step @p1864 :rule cong :premises (@p862 @p1863) :args (@t1196)) % 1.31/1.52 (step @p1865 :rule cong :premises (@p1864) :args (@t1197)) % 1.31/1.52 (step @p1866 :rule trans :premises (@p1865 @p1800)) % 1.31/1.52 (step @p1867 :rule refl :args (tptp.powersetTE1)) % 1.31/1.52 (step @p1868 :rule cong :premises (@p1867 @p1866) :args (@t1198)) % 1.31/1.52 (step @p1869 :rule eq_resolve :premises (@p235 @p1868)) % 1.31/1.52 (step @p1870 :rule cong :premises (@p1869 @p1782) :args (@t3159)) % 1.31/1.52 (step @p1871 :rule aci_norm :args ((= @t3161 @t1733))) % 1.31/1.52 (step @p1872 :rule cong :premises (@p1871) :args (@t3162)) % 1.31/1.52 (step @p1873 :rule quant-merge-prenex :args ((= (forall @t1138 @t3164) @t3162))) % 1.31/1.52 (step @p1874 :rule alpha_equiv :args (@t3165 (@list @t1725) @t2797)) % 1.31/1.52 (step @p1875 :rule nary_cong :premises (@p772 @p1874) :args (@t3166)) % 1.31/1.52 (step @p1876 :rule quant-miniscope-or :args ((= @t3164 @t3166))) % 1.31/1.52 (step @p1877 :rule trans :premises (@p1876 @p1875)) % 1.31/1.52 (step @p1878 :rule symm :premises (@p1877)) % 1.31/1.52 (step @p1879 :rule cong :premises (@p1878) :args ((forall @t1138 (or @t1597 @t3168)))) % 1.31/1.52 (step @p1880 :rule trans :premises (@p1879 @p1873)) % 1.31/1.52 (step @p1881 :rule trans :premises (@p1880 @p1872)) % 1.31/1.52 (step @p1882 :rule refl :args (@t3168)) % 1.31/1.52 (step @p1883 :rule nary_cong :premises (@p798 @p1882) :args (@t3169)) % 1.31/1.52 (step @p1884 :rule cong :premises (@p1883) :args ((forall @t1138 @t3169))) % 1.31/1.52 (step @p1885 :rule trans :premises (@p1884 @p1881)) % 1.31/1.52 (step @p1886 :rule bool-impl-elim :args (@t1136 @t3168)) % 1.31/1.52 (step @p1887 :rule cong :premises (@p1886) :args ((forall @t1138 (=> @t1136 @t3168)))) % 1.31/1.52 (step @p1888 :rule trans :premises (@p1887 @p1885)) % 1.31/1.52 (step @p1889 :rule refl :args (@t3167)) % 1.31/1.52 (step @p1890 :rule nary_cong :premises (@p850 @p1889 @p1828) :args (@t3170)) % 1.31/1.52 (step @p1891 :rule cong :premises (@p1890) :args ((forall @t1134 @t3170))) % 1.31/1.52 (step @p1892 :rule aci_norm :args ((= (or @t2809 (or @t3167 @t1185)) @t3170))) % 1.31/1.52 (step @p1893 :rule bool-impl-elim :args (@t3148 @t1185)) % 1.31/1.52 (step @p1894 :rule nary_cong :premises (@p855 @p1893) :args ((or @t2809 @t3171))) % 1.31/1.52 (step @p1895 :rule trans :premises (@p1894 @p1892)) % 1.31/1.52 (step @p1896 :rule bool-impl-elim :args (@t1133 @t3171)) % 1.31/1.52 (step @p1897 :rule trans :premises (@p1896 @p1895)) % 1.31/1.52 (step @p1898 :rule cong :premises (@p1897) :args ((forall @t1134 (=> @t1133 @t3171)))) % 1.31/1.52 (step @p1899 :rule trans :premises (@p1898 @p1891)) % 1.31/1.52 (step @p1900 :rule refl :args (@t1185)) % 1.31/1.52 (step @p1901 :rule aci_norm :args ((= (or @t197 @t3158) @t3152))) % 1.31/1.52 (step @p1902 :rule nary_cong :premises (@p941 @p1849) :args ((or @t197 @t1168))) % 1.31/1.52 (step @p1903 :rule trans :premises (@p1902 @p1901)) % 1.31/1.52 (step @p1904 :rule bool-impl-elim :args (@t7 @t1168)) % 1.31/1.52 (step @p1905 :rule trans :premises (@p1904 @p1903)) % 1.31/1.52 (step @p1906 :rule cong :premises (@p1905) :args (@t1169)) % 1.31/1.52 (step @p1907 :rule trans :premises (@p1906 @p1839)) % 1.31/1.52 (step @p1908 :rule cong :premises (@p1907 @p1900) :args (@t1186)) % 1.31/1.52 (step @p1909 :rule cong :premises (@p950 @p1908) :args (@t1187)) % 1.31/1.52 (step @p1910 :rule cong :premises (@p1909) :args (@t1188)) % 1.31/1.52 (step @p1911 :rule trans :premises (@p1910 @p1899)) % 1.31/1.52 (step @p1912 :rule cong :premises (@p862 @p1911) :args (@t1189)) % 1.31/1.52 (step @p1913 :rule cong :premises (@p1912) :args (@t1190)) % 1.31/1.52 (step @p1914 :rule trans :premises (@p1913 @p1888)) % 1.31/1.52 (step @p1915 :rule refl :args (tptp.powersetTI1)) % 1.31/1.52 (step @p1916 :rule cong :premises (@p1915 @p1914) :args (@t1191)) % 1.31/1.52 (step @p1917 :rule eq_resolve :premises (@p234 @p1916)) % 1.31/1.52 (step @p1918 :rule cong :premises (@p1917 @p1870) :args (@t3172)) % 1.31/1.52 (step @p1919 :rule aci_norm :args ((= @t3174 @t1739))) % 1.31/1.52 (step @p1920 :rule cong :premises (@p1919) :args (@t3175)) % 1.31/1.52 (step @p1921 :rule quant-merge-prenex :args ((= (forall @t1138 @t3177) @t3175))) % 1.31/1.52 (step @p1922 :rule alpha_equiv :args (@t3178 (@list @t1735) @t2797)) % 1.31/1.52 (step @p1923 :rule nary_cong :premises (@p772 @p1922) :args (@t3179)) % 1.31/1.52 (step @p1924 :rule quant-miniscope-or :args ((= @t3177 @t3179))) % 1.31/1.52 (step @p1925 :rule trans :premises (@p1924 @p1923)) % 1.31/1.52 (step @p1926 :rule symm :premises (@p1925)) % 1.31/1.52 (step @p1927 :rule cong :premises (@p1926) :args ((forall @t1138 (or @t1597 @t3180)))) % 1.31/1.52 (step @p1928 :rule trans :premises (@p1927 @p1921)) % 1.31/1.52 (step @p1929 :rule trans :premises (@p1928 @p1920)) % 1.31/1.52 (step @p1930 :rule refl :args (@t3180)) % 1.31/1.52 (step @p1931 :rule nary_cong :premises (@p798 @p1930) :args (@t3181)) % 1.31/1.52 (step @p1932 :rule cong :premises (@p1931) :args ((forall @t1138 @t3181))) % 1.31/1.52 (step @p1933 :rule trans :premises (@p1932 @p1929)) % 1.31/1.52 (step @p1934 :rule bool-impl-elim :args (@t1136 @t3180)) % 1.31/1.52 (step @p1935 :rule cong :premises (@p1934) :args ((forall @t1138 (=> @t1136 @t3180)))) % 1.31/1.52 (step @p1936 :rule trans :premises (@p1935 @p1933)) % 1.31/1.52 (step @p1937 :rule nary_cong :premises (@p850 @p1889 @p1378) :args (@t3182)) % 1.31/1.52 (step @p1938 :rule cong :premises (@p1937) :args ((forall @t1134 @t3182))) % 1.31/1.52 (step @p1939 :rule aci_norm :args ((= (or @t2809 (or @t3167 @t1177)) @t3182))) % 1.31/1.52 (step @p1940 :rule bool-impl-elim :args (@t3148 @t1177)) % 1.31/1.52 (step @p1941 :rule nary_cong :premises (@p855 @p1940) :args ((or @t2809 @t3183))) % 1.31/1.52 (step @p1942 :rule trans :premises (@p1941 @p1939)) % 1.31/1.52 (step @p1943 :rule bool-impl-elim :args (@t1133 @t3183)) % 1.31/1.52 (step @p1944 :rule trans :premises (@p1943 @p1942)) % 1.31/1.52 (step @p1945 :rule cong :premises (@p1944) :args ((forall @t1134 (=> @t1133 @t3183)))) % 1.31/1.52 (step @p1946 :rule trans :premises (@p1945 @p1938)) % 1.31/1.52 (step @p1947 :rule refl :args (@t1177)) % 1.31/1.52 (step @p1948 :rule cong :premises (@p1907 @p1947) :args (@t1178)) % 1.31/1.52 (step @p1949 :rule cong :premises (@p950 @p1948) :args (@t1179)) % 1.31/1.52 (step @p1950 :rule cong :premises (@p1949) :args (@t1180)) % 1.31/1.52 (step @p1951 :rule trans :premises (@p1950 @p1946)) % 1.31/1.52 (step @p1952 :rule cong :premises (@p862 @p1951) :args (@t1181)) % 1.31/1.52 (step @p1953 :rule cong :premises (@p1952) :args (@t1182)) % 1.31/1.52 (step @p1954 :rule trans :premises (@p1953 @p1936)) % 1.31/1.52 (step @p1955 :rule refl :args (tptp.subsetTI)) % 1.31/1.52 (step @p1956 :rule cong :premises (@p1955 @p1954) :args (@t1183)) % 1.31/1.52 (step @p1957 :rule eq_resolve :premises (@p233 @p1956)) % 1.31/1.52 (step @p1958 :rule cong :premises (@p1957 @p1918) :args (@t3184)) % 1.31/1.52 (step @p1959 :rule aci_norm :args ((= @t3186 @t1747))) % 1.31/1.52 (step @p1960 :rule cong :premises (@p1959) :args (@t3187)) % 1.31/1.52 (step @p1961 :rule quant-merge-prenex :args ((= (forall @t1138 @t3189) @t3187))) % 1.31/1.52 (step @p1962 :rule alpha_equiv :args (@t3190 (@list @t1741) @t2797)) % 1.31/1.52 (step @p1963 :rule nary_cong :premises (@p772 @p1962) :args (@t3191)) % 1.31/1.52 (step @p1964 :rule quant-miniscope-or :args ((= @t3189 @t3191))) % 1.31/1.52 (step @p1965 :rule trans :premises (@p1964 @p1963)) % 1.31/1.52 (step @p1966 :rule symm :premises (@p1965)) % 1.31/1.52 (step @p1967 :rule cong :premises (@p1966) :args ((forall @t1138 (or @t1597 @t3194)))) % 1.31/1.52 (step @p1968 :rule trans :premises (@p1967 @p1961)) % 1.31/1.52 (step @p1969 :rule trans :premises (@p1968 @p1960)) % 1.31/1.52 (step @p1970 :rule refl :args (@t3194)) % 1.31/1.52 (step @p1971 :rule nary_cong :premises (@p798 @p1970) :args (@t3195)) % 1.31/1.52 (step @p1972 :rule cong :premises (@p1971) :args ((forall @t1138 @t3195))) % 1.31/1.52 (step @p1973 :rule trans :premises (@p1972 @p1969)) % 1.31/1.52 (step @p1974 :rule bool-impl-elim :args (@t1136 @t3194)) % 1.31/1.52 (step @p1975 :rule cong :premises (@p1974) :args ((forall @t1138 (=> @t1136 @t3194)))) % 1.31/1.52 (step @p1976 :rule trans :premises (@p1975 @p1973)) % 1.31/1.52 (step @p1977 :rule refl :args (@t1163)) % 1.31/1.52 (step @p1978 :rule refl :args (@t3193)) % 1.31/1.52 (step @p1979 :rule nary_cong :premises (@p850 @p1889 @p1978 @p1977) :args (@t3196)) % 1.31/1.52 (step @p1980 :rule cong :premises (@p1979) :args ((forall @t1134 @t3196))) % 1.31/1.52 (step @p1981 :rule aci_norm :args ((= (or @t2809 @t3197) @t3196))) % 1.31/1.52 (step @p1982 :rule aci_norm :args ((= (or @t3167 (or @t3193 @t1163)) @t3197))) % 1.31/1.52 (step @p1983 :rule bool-impl-elim :args (@t3192 @t1163)) % 1.31/1.52 (step @p1984 :rule nary_cong :premises (@p1889 @p1983) :args ((or @t3167 @t3198))) % 1.31/1.52 (step @p1985 :rule trans :premises (@p1984 @p1982)) % 1.31/1.52 (step @p1986 :rule bool-impl-elim :args (@t3148 @t3198)) % 1.31/1.52 (step @p1987 :rule trans :premises (@p1986 @p1985)) % 1.31/1.52 (step @p1988 :rule nary_cong :premises (@p855 @p1987) :args ((or @t2809 @t3199))) % 1.31/1.52 (step @p1989 :rule trans :premises (@p1988 @p1981)) % 1.31/1.52 (step @p1990 :rule bool-impl-elim :args (@t1133 @t3199)) % 1.31/1.52 (step @p1991 :rule trans :premises (@p1990 @p1989)) % 1.31/1.52 (step @p1992 :rule cong :premises (@p1991) :args ((forall @t1134 (=> @t1133 @t3199)))) % 1.31/1.52 (step @p1993 :rule trans :premises (@p1992 @p1980)) % 1.31/1.52 (step @p1994 :rule refl :args (@t1163)) % 1.31/1.52 (step @p1995 :rule nary_cong :premises (@p936 @p930 @p1291) :args (@t3200)) % 1.31/1.52 (step @p1996 :rule cong :premises (@p1995) :args ((forall @t9 @t3200))) % 1.31/1.52 (step @p1997 :rule aci_norm :args ((= (or @t197 (or @t1221 @t696)) @t3200))) % 1.31/1.52 (step @p1998 :rule bool-impl-elim :args (@t1164 @t696)) % 1.31/1.52 (step @p1999 :rule nary_cong :premises (@p941 @p1998) :args ((or @t197 @t1165))) % 1.31/1.52 (step @p2000 :rule trans :premises (@p1999 @p1997)) % 1.31/1.52 (step @p2001 :rule bool-impl-elim :args (@t7 @t1165)) % 1.31/1.52 (step @p2002 :rule trans :premises (@p2001 @p2000)) % 1.31/1.52 (step @p2003 :rule cong :premises (@p2002) :args (@t1166)) % 1.31/1.52 (step @p2004 :rule trans :premises (@p2003 @p1996)) % 1.31/1.52 (step @p2005 :rule cong :premises (@p2004 @p1994) :args (@t1167)) % 1.31/1.52 (step @p2006 :rule cong :premises (@p1907 @p2005) :args (@t1170)) % 1.31/1.52 (step @p2007 :rule cong :premises (@p950 @p2006) :args (@t1171)) % 1.31/1.52 (step @p2008 :rule cong :premises (@p2007) :args (@t1172)) % 1.31/1.52 (step @p2009 :rule trans :premises (@p2008 @p1993)) % 1.31/1.52 (step @p2010 :rule cong :premises (@p862 @p2009) :args (@t1173)) % 1.31/1.52 (step @p2011 :rule cong :premises (@p2010) :args (@t1174)) % 1.31/1.52 (step @p2012 :rule trans :premises (@p2011 @p1976)) % 1.31/1.52 (step @p2013 :rule refl :args (tptp.setextT)) % 1.31/1.52 (step @p2014 :rule cong :premises (@p2013 @p2012) :args (@t1175)) % 1.31/1.52 (step @p2015 :rule eq_resolve :premises (@p232 @p2014)) % 1.31/1.52 (step @p2016 :rule cong :premises (@p2015 @p1958) :args (@t3201)) % 1.31/1.52 (step @p2017 :rule refl :args ((tptp.in @t1158 @t33))) % 1.31/1.52 (step @p2018 :rule cong :premises (@p806 @p782) :args (@t1749)) % 1.31/1.52 (step @p2019 :rule trans :premises (@p2018 @p2017)) % 1.31/1.52 (step @p2020 :rule ho_cong :premises (@p991 @p782)) % 1.31/1.52 (step @p2021 :rule cong :premises (@p2020 @p2019) :args ((= (_ @t2856 @t1594) @t1749))) % 1.31/1.52 (step @p2022 :rule symm :premises (@p2021)) % 1.31/1.52 (step @p2023 :rule refl :args (@t1160)) % 1.31/1.52 (step @p2024 :rule eq_resolve :premises (@p2023 @p2022)) % 1.31/1.52 (step @p2025 :rule ho_cong :premises (@p1017 @p795)) % 1.31/1.52 (step @p2026 :rule trans :premises (@p2025 @p2024)) % 1.31/1.52 (step @p2027 :rule nary_cong :premises (@p798 @p2026) :args (@t3202)) % 1.31/1.52 (step @p2028 :rule cong :premises (@p2027) :args ((forall @t1138 @t3202))) % 1.31/1.52 (step @p2029 :rule bool-impl-elim :args (@t1136 @t1160)) % 1.31/1.52 (step @p2030 :rule cong :premises (@p2029) :args (@t1161)) % 1.31/1.52 (step @p2031 :rule trans :premises (@p2030 @p2028)) % 1.31/1.52 (step @p2032 :rule refl :args (tptp.complementT_lem)) % 1.31/1.52 (step @p2033 :rule cong :premises (@p2032 @p2031) :args (@t1162)) % 1.31/1.52 (step @p2034 :rule eq_resolve :premises (@p231 @p2033)) % 1.31/1.52 (step @p2035 :rule cong :premises (@p2034 @p2016) :args (@t3203)) % 1.31/1.52 (step @p2036 :rule aci_norm :args ((= @t3205 @t1753))) % 1.31/1.52 (step @p2037 :rule cong :premises (@p2036) :args (@t3206)) % 1.31/1.52 (step @p2038 :rule quant-merge-prenex :args ((= (forall @t1138 @t3208) @t3206))) % 1.31/1.52 (step @p2039 :rule alpha_equiv :args (@t3209 (@list @t1750) @t2797)) % 1.31/1.52 (step @p2040 :rule nary_cong :premises (@p772 @p2039) :args (@t3210)) % 1.31/1.52 (step @p2041 :rule quant-miniscope-or :args ((= @t3208 @t3210))) % 1.31/1.52 (step @p2042 :rule trans :premises (@p2041 @p2040)) % 1.31/1.52 (step @p2043 :rule symm :premises (@p2042)) % 1.31/1.52 (step @p2044 :rule cong :premises (@p2043) :args ((forall @t1138 (or @t1597 @t3213)))) % 1.31/1.52 (step @p2045 :rule trans :premises (@p2044 @p2038)) % 1.31/1.52 (step @p2046 :rule trans :premises (@p2045 @p2037)) % 1.31/1.52 (step @p2047 :rule refl :args (@t3213)) % 1.31/1.52 (step @p2048 :rule nary_cong :premises (@p798 @p2047) :args (@t3214)) % 1.31/1.52 (step @p2049 :rule cong :premises (@p2048) :args ((forall @t1138 @t3214))) % 1.31/1.52 (step @p2050 :rule trans :premises (@p2049 @p2046)) % 1.31/1.52 (step @p2051 :rule bool-impl-elim :args (@t1136 @t3213)) % 1.31/1.52 (step @p2052 :rule cong :premises (@p2051) :args ((forall @t1138 (=> @t1136 @t3213)))) % 1.31/1.52 (step @p2053 :rule trans :premises (@p2052 @p2050)) % 1.31/1.52 (step @p2054 :rule refl :args ((tptp.in @t1152 @t33))) % 1.31/1.52 (step @p2055 :rule refl :args (@t3211)) % 1.31/1.52 (step @p2056 :rule cong :premises (@p2055 @p782) :args (@t3212)) % 1.31/1.52 (step @p2057 :rule trans :premises (@p2056 @p2054)) % 1.31/1.52 (step @p2058 :rule ho_cong :premises (@p990 @p2055)) % 1.31/1.52 (step @p2059 :rule ho_cong :premises (@p2058 @p782)) % 1.31/1.52 (step @p2060 :rule cong :premises (@p2059 @p2057) :args ((= (_ (_ tptp.in @t3211) @t1594) @t3212))) % 1.31/1.52 (step @p2061 :rule symm :premises (@p2060)) % 1.31/1.52 (step @p2062 :rule refl :args (@t1153)) % 1.31/1.52 (step @p2063 :rule eq_resolve :premises (@p2062 @p2061)) % 1.31/1.52 (step @p2064 :rule refl :args (@t1152)) % 1.31/1.52 (step @p2065 :rule cong :premises (@p2064 @p2055) :args ((= @t1152 @t3211))) % 1.31/1.52 (step @p2066 :rule symm :premises (@p2065)) % 1.31/1.52 (step @p2067 :rule eq_resolve :premises (@p2064 @p2066)) % 1.31/1.52 (step @p2068 :rule ho_cong :premises (@p990 @p2067)) % 1.31/1.52 (step @p2069 :rule ho_cong :premises (@p2068 @p795)) % 1.31/1.52 (step @p2070 :rule trans :premises (@p2069 @p2063)) % 1.31/1.52 (step @p2071 :rule nary_cong :premises (@p850 @p2070) :args (@t3215)) % 1.31/1.52 (step @p2072 :rule cong :premises (@p2071) :args ((forall @t1134 @t3215))) % 1.31/1.52 (step @p2073 :rule bool-impl-elim :args (@t1133 @t1153)) % 1.31/1.52 (step @p2074 :rule cong :premises (@p2073) :args (@t1154)) % 1.31/1.52 (step @p2075 :rule trans :premises (@p2074 @p2072)) % 1.31/1.52 (step @p2076 :rule cong :premises (@p862 @p2075) :args (@t1155)) % 1.31/1.52 (step @p2077 :rule cong :premises (@p2076) :args (@t1156)) % 1.31/1.52 (step @p2078 :rule trans :premises (@p2077 @p2053)) % 1.31/1.52 (step @p2079 :rule refl :args (tptp.setminusT_lem)) % 1.31/1.52 (step @p2080 :rule cong :premises (@p2079 @p2078) :args (@t1157)) % 1.31/1.52 (step @p2081 :rule eq_resolve :premises (@p230 @p2080)) % 1.31/1.52 (step @p2082 :rule cong :premises (@p2081 @p2035) :args (@t3216)) % 1.31/1.52 (step @p2083 :rule refl :args ((tptp.in @t1148 @t1147))) % 1.31/1.52 (step @p2084 :rule refl :args ((tptp.powerset @t33))) % 1.31/1.52 (step @p2085 :rule cong :premises (@p782) :args (@t1755)) % 1.31/1.52 (step @p2086 :rule trans :premises (@p2085 @p2084)) % 1.31/1.52 (step @p2087 :rule refl :args (@t1756)) % 1.31/1.52 (step @p2088 :rule cong :premises (@p2087 @p2086) :args (@t1757)) % 1.31/1.52 (step @p2089 :rule trans :premises (@p2088 @p2083)) % 1.31/1.52 (step @p2090 :rule ho_cong :premises (@p990 @p2087)) % 1.31/1.52 (step @p2091 :rule ho_cong :premises (@p2090 @p2086)) % 1.31/1.52 (step @p2092 :rule cong :premises (@p2091 @p2089) :args ((= (_ (_ tptp.in @t1756) @t1755) @t1757))) % 1.31/1.52 (step @p2093 :rule symm :premises (@p2092)) % 1.31/1.52 (step @p2094 :rule refl :args (@t1149)) % 1.31/1.52 (step @p2095 :rule eq_resolve :premises (@p2094 @p2093)) % 1.31/1.52 (step @p2096 :rule ho_cong :premises (@p997 @p782)) % 1.31/1.52 (step @p2097 :rule cong :premises (@p2096 @p2086) :args ((= (_ tptp.powerset @t1594) @t1755))) % 1.31/1.52 (step @p2098 :rule symm :premises (@p2097)) % 1.31/1.52 (step @p2099 :rule refl :args (@t1147)) % 1.31/1.52 (step @p2100 :rule eq_resolve :premises (@p2099 @p2098)) % 1.31/1.52 (step @p2101 :rule ho_cong :premises (@p997 @p795)) % 1.31/1.52 (step @p2102 :rule trans :premises (@p2101 @p2100)) % 1.31/1.52 (step @p2103 :rule refl :args (@t1148)) % 1.31/1.52 (step @p2104 :rule cong :premises (@p2103 @p2087) :args ((= @t1148 @t1756))) % 1.31/1.52 (step @p2105 :rule symm :premises (@p2104)) % 1.31/1.52 (step @p2106 :rule eq_resolve :premises (@p2103 @p2105)) % 1.31/1.52 (step @p2107 :rule ho_cong :premises (@p990 @p2106)) % 1.31/1.52 (step @p2108 :rule ho_cong :premises (@p2107 @p2102)) % 1.31/1.52 (step @p2109 :rule trans :premises (@p2108 @p2095)) % 1.31/1.52 (step @p2110 :rule nary_cong :premises (@p798 @p2109) :args (@t3217)) % 1.31/1.52 (step @p2111 :rule cong :premises (@p2110) :args ((forall @t1138 @t3217))) % 1.31/1.52 (step @p2112 :rule bool-impl-elim :args (@t1136 @t1149)) % 1.31/1.52 (step @p2113 :rule cong :premises (@p2112) :args (@t1150)) % 1.31/1.52 (step @p2114 :rule trans :premises (@p2113 @p2111)) % 1.31/1.52 (step @p2115 :rule refl :args (tptp.powersetT_lem)) % 1.31/1.52 (step @p2116 :rule cong :premises (@p2115 @p2114) :args (@t1151)) % 1.31/1.52 (step @p2117 :rule eq_resolve :premises (@p229 @p2116)) % 1.31/1.52 (step @p2118 :rule cong :premises (@p2117 @p2082) :args (@t3218)) % 1.31/1.52 (step @p2119 :rule aci_norm :args ((= @t3220 @t1761))) % 1.31/1.52 (step @p2120 :rule cong :premises (@p2119) :args (@t3221)) % 1.31/1.52 (step @p2121 :rule quant-merge-prenex :args ((= (forall @t1138 @t3223) @t3221))) % 1.31/1.52 (step @p2122 :rule alpha_equiv :args (@t3224 (@list @t1758) @t2797)) % 1.31/1.52 (step @p2123 :rule nary_cong :premises (@p772 @p2122) :args (@t3225)) % 1.31/1.52 (step @p2124 :rule quant-miniscope-or :args ((= @t3223 @t3225))) % 1.31/1.52 (step @p2125 :rule trans :premises (@p2124 @p2123)) % 1.31/1.52 (step @p2126 :rule symm :premises (@p2125)) % 1.31/1.52 (step @p2127 :rule cong :premises (@p2126) :args ((forall @t1138 (or @t1597 @t3228)))) % 1.31/1.52 (step @p2128 :rule trans :premises (@p2127 @p2121)) % 1.31/1.52 (step @p2129 :rule trans :premises (@p2128 @p2120)) % 1.31/1.52 (step @p2130 :rule refl :args (@t3228)) % 1.31/1.52 (step @p2131 :rule nary_cong :premises (@p798 @p2130) :args (@t3229)) % 1.31/1.52 (step @p2132 :rule cong :premises (@p2131) :args ((forall @t1138 @t3229))) % 1.31/1.52 (step @p2133 :rule trans :premises (@p2132 @p2129)) % 1.31/1.52 (step @p2134 :rule bool-impl-elim :args (@t1136 @t3228)) % 1.31/1.52 (step @p2135 :rule cong :premises (@p2134) :args ((forall @t1138 (=> @t1136 @t3228)))) % 1.31/1.52 (step @p2136 :rule trans :premises (@p2135 @p2133)) % 1.31/1.52 (step @p2137 :rule refl :args ((tptp.in @t1141 @t33))) % 1.31/1.52 (step @p2138 :rule refl :args (@t3226)) % 1.31/1.52 (step @p2139 :rule cong :premises (@p2138 @p782) :args (@t3227)) % 1.31/1.52 (step @p2140 :rule trans :premises (@p2139 @p2137)) % 1.31/1.52 (step @p2141 :rule ho_cong :premises (@p990 @p2138)) % 1.31/1.52 (step @p2142 :rule ho_cong :premises (@p2141 @p782)) % 1.31/1.52 (step @p2143 :rule cong :premises (@p2142 @p2140) :args ((= (_ (_ tptp.in @t3226) @t1594) @t3227))) % 1.31/1.52 (step @p2144 :rule symm :premises (@p2143)) % 1.31/1.52 (step @p2145 :rule refl :args (@t1142)) % 1.31/1.52 (step @p2146 :rule eq_resolve :premises (@p2145 @p2144)) % 1.31/1.52 (step @p2147 :rule refl :args (@t1141)) % 1.31/1.52 (step @p2148 :rule cong :premises (@p2147 @p2138) :args ((= @t1141 @t3226))) % 1.31/1.52 (step @p2149 :rule symm :premises (@p2148)) % 1.31/1.52 (step @p2150 :rule eq_resolve :premises (@p2147 @p2149)) % 1.31/1.52 (step @p2151 :rule ho_cong :premises (@p990 @p2150)) % 1.31/1.52 (step @p2152 :rule ho_cong :premises (@p2151 @p795)) % 1.31/1.52 (step @p2153 :rule trans :premises (@p2152 @p2146)) % 1.31/1.52 (step @p2154 :rule nary_cong :premises (@p850 @p2153) :args (@t3230)) % 1.31/1.52 (step @p2155 :rule cong :premises (@p2154) :args ((forall @t1134 @t3230))) % 1.31/1.52 (step @p2156 :rule bool-impl-elim :args (@t1133 @t1142)) % 1.31/1.52 (step @p2157 :rule cong :premises (@p2156) :args (@t1143)) % 1.31/1.52 (step @p2158 :rule trans :premises (@p2157 @p2155)) % 1.31/1.52 (step @p2159 :rule cong :premises (@p862 @p2158) :args (@t1144)) % 1.31/1.52 (step @p2160 :rule cong :premises (@p2159) :args (@t1145)) % 1.31/1.52 (step @p2161 :rule trans :premises (@p2160 @p2136)) % 1.31/1.52 (step @p2162 :rule refl :args (tptp.binunionT_lem)) % 1.31/1.52 (step @p2163 :rule cong :premises (@p2162 @p2161) :args (@t1146)) % 1.31/1.52 (step @p2164 :rule eq_resolve :premises (@p228 @p2163)) % 1.31/1.52 (step @p2165 :rule cong :premises (@p2164 @p2118) :args (@t3231)) % 1.31/1.52 (step @p2166 :rule aci_norm :args ((= @t3233 @t1766))) % 1.31/1.52 (step @p2167 :rule cong :premises (@p2166) :args (@t3234)) % 1.31/1.52 (step @p2168 :rule quant-merge-prenex :args ((= (forall @t1138 @t3236) @t3234))) % 1.31/1.52 (step @p2169 :rule alpha_equiv :args (@t3237 (@list @t1763) @t2797)) % 1.31/1.52 (step @p2170 :rule nary_cong :premises (@p772 @p2169) :args (@t3238)) % 1.31/1.52 (step @p2171 :rule quant-miniscope-or :args ((= @t3236 @t3238))) % 1.31/1.52 (step @p2172 :rule trans :premises (@p2171 @p2170)) % 1.31/1.52 (step @p2173 :rule symm :premises (@p2172)) % 1.31/1.52 (step @p2174 :rule cong :premises (@p2173) :args ((forall @t1138 (or @t1597 @t3240)))) % 1.31/1.52 (step @p2175 :rule trans :premises (@p2174 @p2168)) % 1.31/1.52 (step @p2176 :rule trans :premises (@p2175 @p2167)) % 1.31/1.52 (step @p2177 :rule refl :args (@t3240)) % 1.31/1.52 (step @p2178 :rule nary_cong :premises (@p798 @p2177) :args (@t3241)) % 1.31/1.52 (step @p2179 :rule cong :premises (@p2178) :args ((forall @t1138 @t3241))) % 1.31/1.52 (step @p2180 :rule trans :premises (@p2179 @p2176)) % 1.31/1.52 (step @p2181 :rule bool-impl-elim :args (@t1136 @t3240)) % 1.31/1.52 (step @p2182 :rule cong :premises (@p2181) :args ((forall @t1138 (=> @t1136 @t3240)))) % 1.31/1.52 (step @p2183 :rule trans :premises (@p2182 @p2180)) % 1.31/1.52 (step @p2184 :rule refl :args ((tptp.in @t1130 @t33))) % 1.31/1.52 (step @p2185 :rule cong :premises (@p982 @p782) :args (@t3239)) % 1.31/1.52 (step @p2186 :rule trans :premises (@p2185 @p2184)) % 1.31/1.52 (step @p2187 :rule ho_cong :premises (@p990 @p982)) % 1.31/1.52 (step @p2188 :rule ho_cong :premises (@p2187 @p782)) % 1.31/1.52 (step @p2189 :rule cong :premises (@p2188 @p2186) :args ((= (_ (_ tptp.in @t2850) @t1594) @t3239))) % 1.31/1.52 (step @p2190 :rule symm :premises (@p2189)) % 1.31/1.52 (step @p2191 :rule refl :args (@t1131)) % 1.31/1.52 (step @p2192 :rule eq_resolve :premises (@p2191 @p2190)) % 1.31/1.52 (step @p2193 :rule ho_cong :premises (@p990 @p1012)) % 1.31/1.52 (step @p2194 :rule ho_cong :premises (@p2193 @p795)) % 1.31/1.52 (step @p2195 :rule trans :premises (@p2194 @p2192)) % 1.31/1.52 (step @p2196 :rule nary_cong :premises (@p850 @p2195) :args (@t3242)) % 1.31/1.52 (step @p2197 :rule cong :premises (@p2196) :args ((forall @t1134 @t3242))) % 1.31/1.52 (step @p2198 :rule bool-impl-elim :args (@t1133 @t1131)) % 1.31/1.52 (step @p2199 :rule cong :premises (@p2198) :args (@t1135)) % 1.31/1.52 (step @p2200 :rule trans :premises (@p2199 @p2197)) % 1.31/1.52 (step @p2201 :rule cong :premises (@p862 @p2200) :args (@t1137)) % 1.31/1.52 (step @p2202 :rule cong :premises (@p2201) :args (@t1139)) % 1.31/1.52 (step @p2203 :rule trans :premises (@p2202 @p2183)) % 1.31/1.52 (step @p2204 :rule refl :args (tptp.binintersectT_lem)) % 1.31/1.52 (step @p2205 :rule cong :premises (@p2204 @p2203) :args (@t1140)) % 1.31/1.52 (step @p2206 :rule eq_resolve :premises (@p227 @p2205)) % 1.31/1.52 (step @p2207 :rule cong :premises (@p2206 @p2165) :args (@t3243)) % 1.31/1.52 (step @p2208 :rule aci_norm :args ((= @t3245 @t1771))) % 1.31/1.52 (step @p2209 :rule cong :premises (@p2208) :args (@t3246)) % 1.31/1.52 (step @p2210 :rule quant-merge-prenex :args ((= (forall @t1072 @t3248) @t3246))) % 1.31/1.52 (step @p2211 :rule alpha_equiv :args (@t3249 (@list @t1768) @t3250)) % 1.31/1.52 (step @p2212 :rule refl :args (@t1730)) % 1.31/1.52 (step @p2213 :rule nary_cong :premises (@p2212 @p2211) :args (@t3251)) % 1.31/1.52 (step @p2214 :rule quant-miniscope-or :args ((= @t3248 @t3251))) % 1.31/1.52 (step @p2215 :rule trans :premises (@p2214 @p2213)) % 1.31/1.52 (step @p2216 :rule symm :premises (@p2215)) % 1.31/1.52 (step @p2217 :rule cong :premises (@p2216) :args ((forall @t1072 (or @t1730 @t3254)))) % 1.31/1.52 (step @p2218 :rule trans :premises (@p2217 @p2210)) % 1.31/1.52 (step @p2219 :rule trans :premises (@p2218 @p2209)) % 1.31/1.52 (step @p2220 :rule refl :args (@t3254)) % 1.31/1.52 (step @p2221 :rule nary_cong :premises (@p936 @p2220) :args (@t3255)) % 1.31/1.52 (step @p2222 :rule cong :premises (@p2221) :args ((forall @t1072 @t3255))) % 1.31/1.52 (step @p2223 :rule trans :premises (@p2222 @p2219)) % 1.31/1.52 (step @p2224 :rule bool-impl-elim :args (@t7 @t3254)) % 1.31/1.52 (step @p2225 :rule cong :premises (@p2224) :args ((forall @t1072 (=> @t7 @t3254)))) % 1.31/1.52 (step @p2226 :rule trans :premises (@p2225 @p2223)) % 1.31/1.52 (step @p2227 :rule refl :args ((tptp.in @t1100 @t293))) % 1.31/1.52 (step @p2228 :rule refl :args ((tptp.setadjoin @t4 @t275))) % 1.31/1.52 (step @p2229 :rule refl :args (@t2053)) % 1.31/1.52 (step @p2230 :rule cong :premises (@p914 @p2229) :args (@t2054)) % 1.31/1.52 (step @p2231 :rule trans :premises (@p2230 @p2228)) % 1.31/1.52 (step @p2232 :rule refl :args (@t3252)) % 1.31/1.52 (step @p2233 :rule cong :premises (@p2232 @p2231) :args (@t3253)) % 1.31/1.52 (step @p2234 :rule trans :premises (@p2233 @p2227)) % 1.31/1.52 (step @p2235 :rule ho_cong :premises (@p990 @p2232)) % 1.31/1.52 (step @p2236 :rule ho_cong :premises (@p2235 @p2231)) % 1.31/1.52 (step @p2237 :rule cong :premises (@p2236 @p2234) :args ((= (_ @t3256 @t2054) @t3253))) % 1.31/1.52 (step @p2238 :rule symm :premises (@p2237)) % 1.31/1.52 (step @p2239 :rule refl :args (@t1124)) % 1.31/1.52 (step @p2240 :rule eq_resolve :premises (@p2239 @p2238)) % 1.31/1.52 (step @p2241 :rule refl :args (@t24)) % 1.31/1.52 (step @p2242 :rule ho_cong :premises (@p2241 @p2229)) % 1.31/1.52 (step @p2243 :rule cong :premises (@p2242 @p2231) :args ((= (_ @t24 @t2053) @t2054))) % 1.31/1.52 (step @p2244 :rule symm :premises (@p2243)) % 1.31/1.52 (step @p2245 :rule refl :args (@t293)) % 1.31/1.52 (step @p2246 :rule eq_resolve :premises (@p2245 @p2244)) % 1.31/1.52 (step @p2247 :rule refl :args (@t275)) % 1.31/1.52 (step @p2248 :rule cong :premises (@p2247 @p2229) :args ((= @t275 @t2053))) % 1.31/1.52 (step @p2249 :rule symm :premises (@p2248)) % 1.31/1.52 (step @p2250 :rule eq_resolve :premises (@p2247 @p2249)) % 1.31/1.52 (step @p2251 :rule ho_cong :premises (@p2241 @p2250)) % 1.31/1.52 (step @p2252 :rule trans :premises (@p2251 @p2246)) % 1.31/1.52 (step @p2253 :rule refl :args (@t1100)) % 1.31/1.52 (step @p2254 :rule cong :premises (@p2253 @p2232) :args ((= @t1100 @t3252))) % 1.31/1.52 (step @p2255 :rule symm :premises (@p2254)) % 1.31/1.52 (step @p2256 :rule eq_resolve :premises (@p2253 @p2255)) % 1.31/1.52 (step @p2257 :rule ho_cong :premises (@p990 @p2256)) % 1.31/1.52 (step @p2258 :rule ho_cong :premises (@p2257 @p2252)) % 1.31/1.52 (step @p2259 :rule trans :premises (@p2258 @p2240)) % 1.31/1.52 (step @p2260 :rule refl :args (@t2104)) % 1.31/1.52 (step @p2261 :rule refl :args (@t21)) % 1.31/1.52 (step @p2262 :rule cong :premises (@p2261 @p2260) :args ((= @t21 @t2104))) % 1.31/1.52 (step @p2263 :rule symm :premises (@p2262)) % 1.31/1.52 (step @p2264 :rule eq_resolve :premises (@p2261 @p2263)) % 1.31/1.52 (step @p2265 :rule cong :premises (@p2264) :args (@t3257)) % 1.31/1.52 (step @p2266 :rule nary_cong :premises (@p2265 @p2259) :args (@t3258)) % 1.31/1.52 (step @p2267 :rule cong :premises (@p2266) :args ((forall @t70 @t3258))) % 1.31/1.52 (step @p2268 :rule bool-impl-elim :args (@t21 @t1124)) % 1.31/1.52 (step @p2269 :rule cong :premises (@p2268) :args (@t1125)) % 1.31/1.52 (step @p2270 :rule trans :premises (@p2269 @p2267)) % 1.31/1.52 (step @p2271 :rule refl :args (@t7)) % 1.31/1.52 (step @p2272 :rule cong :premises (@p2271 @p2270) :args (@t1126)) % 1.31/1.52 (step @p2273 :rule cong :premises (@p2272) :args (@t1127)) % 1.31/1.52 (step @p2274 :rule trans :premises (@p2273 @p2226)) % 1.31/1.52 (step @p2275 :rule refl :args (tptp.iftrueorfalse)) % 1.31/1.52 (step @p2276 :rule cong :premises (@p2275 @p2274) :args (@t1128)) % 1.31/1.52 (step @p2277 :rule eq_resolve :premises (@p226 @p2276)) % 1.31/1.52 (step @p2278 :rule cong :premises (@p2277 @p2207) :args (@t3259)) % 1.31/1.52 (step @p2279 :rule aci_norm :args ((= @t3260 @t1776))) % 1.31/1.52 (step @p2280 :rule cong :premises (@p2279) :args ((forall @t1777 @t3260))) % 1.31/1.52 (step @p2281 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t1730 @t173 @t1775 @t3261)) @t3260))) % 1.31/1.52 (step @p2282 :rule refl :args (@t3261)) % 1.31/1.52 (step @p2283 :rule refl :args (@t1775)) % 1.31/1.52 (step @p2284 :rule refl :args (@t173)) % 1.31/1.52 (step @p2285 :rule bool-eq-false :args (@t173)) % 1.31/1.52 (step @p2286 :rule symm :premises (@p2285)) % 1.31/1.52 (step @p2287 :rule cong :premises (@p2286) :args (@t3263)) % 1.31/1.52 (step @p2288 :rule bool-double-not-elim :args (@t173)) % 1.31/1.52 (step @p2289 :rule symm :premises (@p2288)) % 1.31/1.52 (step @p2290 :rule trans :premises (@p2289 @p2287)) % 1.31/1.52 (step @p2291 :rule nary_cong :premises (@p2290 @p2212 @p2284 @p2283 @p2282) :args (@t3264)) % 1.31/1.52 (step @p2292 :rule aci_norm :args ((= @t3265 @t3264))) % 1.31/1.52 (step @p2293 :rule trans :premises (@p2292 @p2291)) % 1.31/1.52 (step @p2294 :rule cong :premises (@p2293) :args (@t3266)) % 1.31/1.52 (step @p2295 :rule trans :premises (@p2294 @p2281)) % 1.31/1.52 (step @p2296 :rule cong :premises (@p2295) :args (@t3267)) % 1.31/1.52 (step @p2297 :rule quant-merge-prenex :args ((= @t3267 @t3268))) % 1.31/1.52 (step @p2298 :rule symm :premises (@p2297)) % 1.31/1.52 (step @p2299 :rule quant_var_reordering :args ((= (forall @t3269 @t3265) @t3268))) % 1.31/1.52 (step @p2300 :rule trans :premises (@p2299 @p2298 @p2296)) % 1.31/1.52 (step @p2301 :rule trans :premises (@p2300 @p2280)) % 1.31/1.52 (step @p2302 :rule aci_norm :args ((= @t3271 @t3265))) % 1.31/1.52 (step @p2303 :rule cong :premises (@p2302) :args (@t3272)) % 1.31/1.52 (step @p2304 :rule trans :premises (@p2303 @p2301)) % 1.31/1.52 (step @p2305 :rule quant-merge-prenex :args ((= (forall @t1072 @t3274) @t3272))) % 1.31/1.52 (step @p2306 :rule alpha_equiv :args (@t3275 (@list @t1773) @t3250)) % 1.31/1.52 (step @p2307 :rule nary_cong :premises (@p2212 @p2284 @p2306) :args (@t3276)) % 1.31/1.52 (step @p2308 :rule quant-miniscope-or :args ((= @t3274 @t3276))) % 1.31/1.52 (step @p2309 :rule trans :premises (@p2308 @p2307)) % 1.31/1.52 (step @p2310 :rule symm :premises (@p2309)) % 1.31/1.52 (step @p2311 :rule cong :premises (@p2310) :args ((forall @t1072 (or @t1730 @t173 @t3277)))) % 1.31/1.52 (step @p2312 :rule trans :premises (@p2311 @p2305)) % 1.31/1.52 (step @p2313 :rule trans :premises (@p2312 @p2304)) % 1.31/1.52 (step @p2314 :rule refl :args (@t3277)) % 1.31/1.52 (step @p2315 :rule nary_cong :premises (@p936 @p2284 @p2314) :args (@t3278)) % 1.31/1.52 (step @p2316 :rule cong :premises (@p2315) :args ((forall @t1072 @t3278))) % 1.31/1.52 (step @p2317 :rule trans :premises (@p2316 @p2313)) % 1.31/1.52 (step @p2318 :rule aci_norm :args ((= (or @t197 @t3279) @t3278))) % 1.31/1.52 (step @p2319 :rule bool-impl-elim :args (@t7 @t3279)) % 1.31/1.52 (step @p2320 :rule trans :premises (@p2319 @p2318)) % 1.31/1.52 (step @p2321 :rule cong :premises (@p2320) :args ((forall @t1072 (=> @t7 @t3279)))) % 1.31/1.52 (step @p2322 :rule trans :premises (@p2321 @p2317)) % 1.31/1.52 (step @p2323 :rule refl :args (@t19)) % 1.31/1.52 (step @p2324 :rule cong :premises (@p2323 @p2256) :args (@t3280)) % 1.31/1.52 (step @p2325 :rule nary_cong :premises (@p2265 @p2324) :args (@t3281)) % 1.31/1.52 (step @p2326 :rule cong :premises (@p2325) :args (@t3282)) % 1.31/1.52 (step @p2327 :rule refl :args (@t173)) % 1.31/1.52 (step @p2328 :rule nary_cong :premises (@p2327 @p2326) :args (@t3283)) % 1.31/1.52 (step @p2329 :rule quant-miniscope-or :args ((= (forall @t70 @t3284) @t3283))) % 1.31/1.52 (step @p2330 :rule aci_norm :args ((= @t3285 @t3284))) % 1.31/1.52 (step @p2331 :rule cong :premises (@p2330) :args ((forall @t70 @t3285))) % 1.31/1.52 (step @p2332 :rule trans :premises (@p2331 @p2329)) % 1.31/1.52 (step @p2333 :rule trans :premises (@p2332 @p2328)) % 1.31/1.52 (step @p2334 :rule aci_norm :args ((= (or @t3257 (or @t173 @t3280)) @t3285))) % 1.31/1.52 (step @p2335 :rule refl :args (@t3280)) % 1.31/1.52 (step @p2336 :rule nary_cong :premises (@p2288 @p2335) :args ((or @t3263 @t3280))) % 1.31/1.52 (step @p2337 :rule bool-impl-elim :args (@t1061 @t3280)) % 1.31/1.52 (step @p2338 :rule trans :premises (@p2337 @p2336)) % 1.31/1.52 (step @p2339 :rule refl :args (@t3257)) % 1.31/1.52 (step @p2340 :rule nary_cong :premises (@p2339 @p2338) :args ((or @t3257 @t3286))) % 1.31/1.52 (step @p2341 :rule trans :premises (@p2340 @p2334)) % 1.31/1.52 (step @p2342 :rule bool-impl-elim :args (@t21 @t3286)) % 1.31/1.52 (step @p2343 :rule trans :premises (@p2342 @p2341)) % 1.31/1.52 (step @p2344 :rule cong :premises (@p2343) :args ((forall @t70 (=> @t21 @t3286)))) % 1.31/1.52 (step @p2345 :rule trans :premises (@p2344 @p2333)) % 1.31/1.52 (step @p2346 :rule eq-symm :args (@t1100 @t19)) % 1.31/1.52 (step @p2347 :rule refl :args (@t1061)) % 1.31/1.52 (step @p2348 :rule cong :premises (@p2347 @p2346) :args (@t1118)) % 1.31/1.52 (step @p2349 :rule refl :args (@t21)) % 1.31/1.52 (step @p2350 :rule cong :premises (@p2349 @p2348) :args (@t1119)) % 1.31/1.52 (step @p2351 :rule cong :premises (@p2350) :args (@t1120)) % 1.31/1.52 (step @p2352 :rule trans :premises (@p2351 @p2345)) % 1.31/1.52 (step @p2353 :rule cong :premises (@p2271 @p2352) :args (@t1121)) % 1.31/1.52 (step @p2354 :rule cong :premises (@p2353) :args (@t1122)) % 1.31/1.52 (step @p2355 :rule trans :premises (@p2354 @p2322)) % 1.31/1.52 (step @p2356 :rule refl :args (tptp.iffalse)) % 1.31/1.52 (step @p2357 :rule cong :premises (@p2356 @p2355) :args (@t1123)) % 1.31/1.52 (step @p2358 :rule eq_resolve :premises (@p225 @p2357)) % 1.31/1.52 (step @p2359 :rule cong :premises (@p2358 @p2278) :args (@t3287)) % 1.31/1.52 (step @p2360 :rule aci_norm :args ((= (or @t1730 false @t1780 @t1779) @t1781))) % 1.31/1.52 (step @p2361 :rule refl :args (@t1779)) % 1.31/1.52 (step @p2362 :rule refl :args (@t1780)) % 1.31/1.52 (step @p2363 :rule evaluate :args (@t3288)) % 1.31/1.52 (step @p2364 :rule refl :args (@t1730)) % 1.31/1.52 (step @p2365 :rule nary_cong :premises (@p2364 @p2363 @p2362 @p2361) :args (@t3289)) % 1.31/1.52 (step @p2366 :rule trans :premises (@p2365 @p2360)) % 1.31/1.52 (step @p2367 :rule cong :premises (@p2366) :args ((forall @t1782 @t3289))) % 1.31/1.52 (step @p2368 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3291 @t1730 @t1061 @t1780 @t3290)) @t3289))) % 1.31/1.52 (step @p2369 :rule refl :args (@t3290)) % 1.31/1.52 (step @p2370 :rule refl :args (@t1780)) % 1.31/1.52 (step @p2371 :rule refl :args (@t1061)) % 1.31/1.52 (step @p2372 :rule bool-eq-true :args (@t173)) % 1.31/1.52 (step @p2373 :rule symm :premises (@p2372)) % 1.31/1.52 (step @p2374 :rule cong :premises (@p2373) :args (@t1061)) % 1.31/1.52 (step @p2375 :rule nary_cong :premises (@p2374 @p2212 @p2371 @p2370 @p2369) :args (@t3292)) % 1.31/1.52 (step @p2376 :rule aci_norm :args ((= @t3293 @t3292))) % 1.31/1.52 (step @p2377 :rule trans :premises (@p2376 @p2375)) % 1.31/1.52 (step @p2378 :rule cong :premises (@p2377) :args (@t3294)) % 1.31/1.52 (step @p2379 :rule trans :premises (@p2378 @p2368)) % 1.31/1.52 (step @p2380 :rule cong :premises (@p2379) :args (@t3295)) % 1.31/1.52 (step @p2381 :rule quant-merge-prenex :args ((= @t3295 @t3296))) % 1.31/1.52 (step @p2382 :rule symm :premises (@p2381)) % 1.31/1.52 (step @p2383 :rule quant_var_reordering :args ((= (forall @t3297 @t3293) @t3296))) % 1.31/1.52 (step @p2384 :rule trans :premises (@p2383 @p2382 @p2380)) % 1.31/1.52 (step @p2385 :rule trans :premises (@p2384 @p2367)) % 1.31/1.52 (step @p2386 :rule aci_norm :args ((= @t3299 @t3293))) % 1.31/1.52 (step @p2387 :rule cong :premises (@p2386) :args (@t3300)) % 1.31/1.52 (step @p2388 :rule trans :premises (@p2387 @p2385)) % 1.31/1.52 (step @p2389 :rule quant-merge-prenex :args ((= (forall @t1072 @t3302) @t3300))) % 1.31/1.52 (step @p2390 :rule alpha_equiv :args (@t3303 (@list @t1778) @t3250)) % 1.31/1.52 (step @p2391 :rule nary_cong :premises (@p2212 @p2371 @p2390) :args (@t3304)) % 1.31/1.52 (step @p2392 :rule quant-miniscope-or :args ((= @t3302 @t3304))) % 1.31/1.52 (step @p2393 :rule trans :premises (@p2392 @p2391)) % 1.31/1.52 (step @p2394 :rule symm :premises (@p2393)) % 1.31/1.52 (step @p2395 :rule cong :premises (@p2394) :args ((forall @t1072 (or @t1730 @t1061 @t3305)))) % 1.31/1.52 (step @p2396 :rule trans :premises (@p2395 @p2389)) % 1.31/1.52 (step @p2397 :rule trans :premises (@p2396 @p2388)) % 1.31/1.52 (step @p2398 :rule refl :args (@t3305)) % 1.31/1.52 (step @p2399 :rule nary_cong :premises (@p936 @p2371 @p2398) :args (@t3306)) % 1.31/1.52 (step @p2400 :rule cong :premises (@p2399) :args ((forall @t1072 @t3306))) % 1.31/1.52 (step @p2401 :rule trans :premises (@p2400 @p2397)) % 1.31/1.52 (step @p2402 :rule aci_norm :args ((= (or @t197 @t3307) @t3306))) % 1.31/1.52 (step @p2403 :rule bool-impl-elim :args (@t7 @t3307)) % 1.31/1.52 (step @p2404 :rule trans :premises (@p2403 @p2402)) % 1.31/1.52 (step @p2405 :rule cong :premises (@p2404) :args ((forall @t1072 (=> @t7 @t3307)))) % 1.31/1.52 (step @p2406 :rule trans :premises (@p2405 @p2401)) % 1.31/1.52 (step @p2407 :rule cong :premises (@p914 @p2256) :args (@t3308)) % 1.31/1.52 (step @p2408 :rule nary_cong :premises (@p2265 @p2407) :args (@t3309)) % 1.31/1.52 (step @p2409 :rule cong :premises (@p2408) :args (@t3310)) % 1.31/1.52 (step @p2410 :rule nary_cong :premises (@p2347 @p2409) :args (@t3311)) % 1.31/1.52 (step @p2411 :rule quant-miniscope-or :args ((= (forall @t70 @t3312) @t3311))) % 1.31/1.52 (step @p2412 :rule aci_norm :args ((= @t3313 @t3312))) % 1.31/1.52 (step @p2413 :rule cong :premises (@p2412) :args ((forall @t70 @t3313))) % 1.31/1.52 (step @p2414 :rule trans :premises (@p2413 @p2411)) % 1.31/1.52 (step @p2415 :rule trans :premises (@p2414 @p2410)) % 1.31/1.52 (step @p2416 :rule aci_norm :args ((= (or @t3257 (or @t1061 @t3308)) @t3313))) % 1.31/1.52 (step @p2417 :rule bool-impl-elim :args (@t173 @t3308)) % 1.31/1.52 (step @p2418 :rule nary_cong :premises (@p2339 @p2417) :args ((or @t3257 @t3314))) % 1.31/1.52 (step @p2419 :rule trans :premises (@p2418 @p2416)) % 1.31/1.52 (step @p2420 :rule bool-impl-elim :args (@t21 @t3314)) % 1.31/1.52 (step @p2421 :rule trans :premises (@p2420 @p2419)) % 1.31/1.52 (step @p2422 :rule cong :premises (@p2421) :args ((forall @t70 (=> @t21 @t3314)))) % 1.31/1.52 (step @p2423 :rule trans :premises (@p2422 @p2415)) % 1.31/1.52 (step @p2424 :rule eq-symm :args (@t1100 @t4)) % 1.31/1.52 (step @p2425 :rule cong :premises (@p2327 @p2424) :args (@t1112)) % 1.31/1.52 (step @p2426 :rule cong :premises (@p2349 @p2425) :args (@t1113)) % 1.31/1.52 (step @p2427 :rule cong :premises (@p2426) :args (@t1114)) % 1.31/1.52 (step @p2428 :rule trans :premises (@p2427 @p2423)) % 1.31/1.52 (step @p2429 :rule cong :premises (@p2271 @p2428) :args (@t1115)) % 1.31/1.52 (step @p2430 :rule cong :premises (@p2429) :args (@t1116)) % 1.31/1.52 (step @p2431 :rule trans :premises (@p2430 @p2406)) % 1.31/1.52 (step @p2432 :rule refl :args (tptp.iftrue)) % 1.31/1.52 (step @p2433 :rule cong :premises (@p2432 @p2431) :args (@t1117)) % 1.31/1.52 (step @p2434 :rule eq_resolve :premises (@p224 @p2433)) % 1.31/1.52 (step @p2435 :rule cong :premises (@p2434 @p2359) :args (@t3315)) % 1.31/1.52 (step @p2436 :rule eq-symm :args (@t1783 @t1784)) % 1.31/1.52 (step @p2437 :rule refl :args (@t1785)) % 1.31/1.52 (step @p2438 :rule refl :args (@t1787)) % 1.31/1.52 (step @p2439 :rule nary_cong :premises (@p2438 @p2437 @p2436) :args (@t3317)) % 1.31/1.52 (step @p2440 :rule aci_norm :args ((= @t3319 @t3317))) % 1.31/1.52 (step @p2441 :rule trans :premises (@p2440 @p2439)) % 1.31/1.52 (step @p2442 :rule cong :premises (@p2441) :args (@t3320)) % 1.31/1.52 (step @p2443 :rule quant-merge-prenex :args ((= (forall @t700 @t3322) @t3320))) % 1.31/1.52 (step @p2444 :rule alpha_equiv :args (@t3323 (@list @t1783) @t2833)) % 1.31/1.52 (step @p2445 :rule refl :args (@t1787)) % 1.31/1.52 (step @p2446 :rule nary_cong :premises (@p2445 @p2444) :args (@t3324)) % 1.31/1.52 (step @p2447 :rule quant-miniscope-or :args ((= @t3322 @t3324))) % 1.31/1.52 (step @p2448 :rule trans :premises (@p2447 @p2446)) % 1.31/1.52 (step @p2449 :rule symm :premises (@p2448)) % 1.31/1.52 (step @p2450 :rule cong :premises (@p2449) :args ((forall @t700 (or @t1787 @t3325)))) % 1.31/1.52 (step @p2451 :rule trans :premises (@p2450 @p2443)) % 1.31/1.52 (step @p2452 :rule trans :premises (@p2451 @p2442)) % 1.31/1.52 (step @p2453 :rule refl :args (@t3325)) % 1.31/1.52 (step @p2454 :rule refl :args (@t1786)) % 1.31/1.52 (step @p2455 :rule refl :args (@t761)) % 1.31/1.52 (step @p2456 :rule cong :premises (@p2455 @p2454) :args ((= @t761 @t1786))) % 1.31/1.52 (step @p2457 :rule symm :premises (@p2456)) % 1.31/1.52 (step @p2458 :rule eq_resolve :premises (@p2455 @p2457)) % 1.31/1.52 (step @p2459 :rule cong :premises (@p2458) :args (@t3326)) % 1.31/1.52 (step @p2460 :rule nary_cong :premises (@p2459 @p2453) :args (@t3327)) % 1.31/1.52 (step @p2461 :rule cong :premises (@p2460) :args ((forall @t700 @t3327))) % 1.31/1.52 (step @p2462 :rule trans :premises (@p2461 @p2452)) % 1.31/1.52 (step @p2463 :rule bool-impl-elim :args (@t761 @t3325)) % 1.31/1.52 (step @p2464 :rule cong :premises (@p2463) :args ((forall @t700 (=> @t761 @t3325)))) % 1.31/1.52 (step @p2465 :rule trans :premises (@p2464 @p2462)) % 1.31/1.52 (step @p2466 :rule refl :args (@t1784)) % 1.31/1.52 (step @p2467 :rule refl :args (@t759)) % 1.31/1.52 (step @p2468 :rule cong :premises (@p2467 @p2466) :args ((= @t759 @t1784))) % 1.31/1.52 (step @p2469 :rule symm :premises (@p2468)) % 1.31/1.52 (step @p2470 :rule eq_resolve :premises (@p2467 @p2469)) % 1.31/1.52 (step @p2471 :rule cong :premises (@p914 @p2470) :args (@t3328)) % 1.31/1.52 (step @p2472 :rule nary_cong :premises (@p1338 @p2471) :args (@t3329)) % 1.31/1.52 (step @p2473 :rule cong :premises (@p2472) :args ((forall @t9 @t3329))) % 1.31/1.52 (step @p2474 :rule bool-impl-elim :args (@t696 @t3328)) % 1.31/1.52 (step @p2475 :rule cong :premises (@p2474) :args ((forall @t9 (=> @t696 @t3328)))) % 1.31/1.52 (step @p2476 :rule trans :premises (@p2475 @p2473)) % 1.31/1.52 (step @p2477 :rule eq-symm :args (@t759 @t4)) % 1.31/1.52 (step @p2478 :rule refl :args (@t696)) % 1.31/1.52 (step @p2479 :rule cong :premises (@p2478 @p2477) :args (@t1107)) % 1.31/1.52 (step @p2480 :rule cong :premises (@p2479) :args (@t1108)) % 1.31/1.52 (step @p2481 :rule trans :premises (@p2480 @p2476)) % 1.31/1.52 (step @p2482 :rule refl :args (@t761)) % 1.31/1.52 (step @p2483 :rule cong :premises (@p2482 @p2481) :args (@t1109)) % 1.31/1.52 (step @p2484 :rule cong :premises (@p2483) :args (@t1110)) % 1.31/1.52 (step @p2485 :rule trans :premises (@p2484 @p2465)) % 1.31/1.52 (step @p2486 :rule refl :args (tptp.theeq)) % 1.31/1.52 (step @p2487 :rule cong :premises (@p2486 @p2485) :args (@t1111)) % 1.31/1.52 (step @p2488 :rule eq_resolve :premises (@p223 @p2487)) % 1.31/1.52 (step @p2489 :rule cong :premises (@p2488 @p2435) :args (@t3330)) % 1.31/1.52 (step @p2490 :rule aci_norm :args ((= @t3332 @t1792))) % 1.31/1.52 (step @p2491 :rule cong :premises (@p2490) :args (@t3333)) % 1.31/1.52 (step @p2492 :rule quant-merge-prenex :args ((= (forall @t1072 @t3335) @t3333))) % 1.31/1.52 (step @p2493 :rule alpha_equiv :args (@t3336 (@list @t1789) @t3250)) % 1.31/1.52 (step @p2494 :rule nary_cong :premises (@p2212 @p2493) :args (@t3337)) % 1.31/1.52 (step @p2495 :rule quant-miniscope-or :args ((= @t3335 @t3337))) % 1.31/1.52 (step @p2496 :rule trans :premises (@p2495 @p2494)) % 1.31/1.52 (step @p2497 :rule symm :premises (@p2496)) % 1.31/1.52 (step @p2498 :rule cong :premises (@p2497) :args ((forall @t1072 (or @t1730 @t3339)))) % 1.31/1.52 (step @p2499 :rule trans :premises (@p2498 @p2492)) % 1.31/1.52 (step @p2500 :rule trans :premises (@p2499 @p2491)) % 1.31/1.52 (step @p2501 :rule refl :args (@t3339)) % 1.31/1.52 (step @p2502 :rule nary_cong :premises (@p936 @p2501) :args (@t3340)) % 1.31/1.52 (step @p2503 :rule cong :premises (@p2502) :args ((forall @t1072 @t3340))) % 1.31/1.52 (step @p2504 :rule trans :premises (@p2503 @p2500)) % 1.31/1.52 (step @p2505 :rule bool-impl-elim :args (@t7 @t3339)) % 1.31/1.52 (step @p2506 :rule cong :premises (@p2505) :args ((forall @t1072 (=> @t7 @t3339)))) % 1.31/1.52 (step @p2507 :rule trans :premises (@p2506 @p2504)) % 1.31/1.52 (step @p2508 :rule refl :args ((tptp.in @t1100 @t2))) % 1.31/1.52 (step @p2509 :rule cong :premises (@p2232 @p983) :args (@t3338)) % 1.31/1.52 (step @p2510 :rule trans :premises (@p2509 @p2508)) % 1.31/1.52 (step @p2511 :rule ho_cong :premises (@p2235 @p983)) % 1.31/1.52 (step @p2512 :rule cong :premises (@p2511 @p2510) :args ((= (_ @t3256 @t2) @t3338))) % 1.31/1.52 (step @p2513 :rule symm :premises (@p2512)) % 1.31/1.52 (step @p2514 :rule refl :args (@t1102)) % 1.31/1.52 (step @p2515 :rule eq_resolve :premises (@p2514 @p2513)) % 1.31/1.52 (step @p2516 :rule ho_cong :premises (@p2257 @p983)) % 1.31/1.52 (step @p2517 :rule trans :premises (@p2516 @p2515)) % 1.31/1.52 (step @p2518 :rule nary_cong :premises (@p2265 @p2517) :args (@t3341)) % 1.31/1.52 (step @p2519 :rule cong :premises (@p2518) :args ((forall @t70 @t3341))) % 1.31/1.52 (step @p2520 :rule bool-impl-elim :args (@t21 @t1102)) % 1.31/1.52 (step @p2521 :rule cong :premises (@p2520) :args (@t1103)) % 1.31/1.52 (step @p2522 :rule trans :premises (@p2521 @p2519)) % 1.31/1.52 (step @p2523 :rule cong :premises (@p2271 @p2522) :args (@t1104)) % 1.31/1.52 (step @p2524 :rule cong :premises (@p2523) :args (@t1105)) % 1.31/1.52 (step @p2525 :rule trans :premises (@p2524 @p2507)) % 1.31/1.52 (step @p2526 :rule refl :args (tptp.ifp)) % 1.31/1.52 (step @p2527 :rule cong :premises (@p2526 @p2525) :args (@t1106)) % 1.31/1.52 (step @p2528 :rule eq_resolve :premises (@p222 @p2527)) % 1.31/1.52 (step @p2529 :rule cong :premises (@p2528 @p2489) :args (@t3342)) % 1.31/1.52 (step @p2530 :rule eq-symm :args (@t1794 @t289)) % 1.31/1.52 (step @p2531 :rule nary_cong :premises (@p2347 @p2530) :args (@t3343)) % 1.31/1.52 (step @p2532 :rule refl :args (@t1795)) % 1.31/1.52 (step @p2533 :rule nary_cong :premises (@p2532 @p2531) :args (@t3344)) % 1.31/1.52 (step @p2534 :rule cong :premises (@p2533) :args (@t3345)) % 1.31/1.52 (step @p2535 :rule refl :args (@t2)) % 1.31/1.52 (step @p2536 :rule cong :premises (@p2535 @p2534) :args (@t3346)) % 1.31/1.52 (step @p2537 :rule cong :premises (@p2536) :args (@t3347)) % 1.31/1.52 (step @p2538 :rule refl :args (@t1796)) % 1.31/1.52 (step @p2539 :rule nary_cong :premises (@p2364 @p2538 @p2537) :args (@t3348)) % 1.31/1.52 (step @p2540 :rule aci_norm :args ((= @t3350 @t3348))) % 1.31/1.52 (step @p2541 :rule trans :premises (@p2540 @p2539)) % 1.31/1.52 (step @p2542 :rule cong :premises (@p2541) :args (@t3351)) % 1.31/1.52 (step @p2543 :rule quant-merge-prenex :args ((= (forall @t1072 @t3353) @t3351))) % 1.31/1.52 (step @p2544 :rule alpha_equiv :args (@t3354 (@list @t1794) @t3250)) % 1.31/1.52 (step @p2545 :rule nary_cong :premises (@p2212 @p2544) :args (@t3355)) % 1.31/1.52 (step @p2546 :rule quant-miniscope-or :args ((= @t3353 @t3355))) % 1.31/1.52 (step @p2547 :rule trans :premises (@p2546 @p2545)) % 1.31/1.52 (step @p2548 :rule symm :premises (@p2547)) % 1.31/1.52 (step @p2549 :rule cong :premises (@p2548) :args ((forall @t1072 (or @t1730 @t3359)))) % 1.31/1.52 (step @p2550 :rule trans :premises (@p2549 @p2543)) % 1.31/1.52 (step @p2551 :rule trans :premises (@p2550 @p2542)) % 1.31/1.52 (step @p2552 :rule refl :args (@t3359)) % 1.31/1.52 (step @p2553 :rule nary_cong :premises (@p936 @p2552) :args (@t3360)) % 1.31/1.52 (step @p2554 :rule cong :premises (@p2553) :args ((forall @t1072 @t3360))) % 1.31/1.52 (step @p2555 :rule trans :premises (@p2554 @p2551)) % 1.31/1.52 (step @p2556 :rule bool-impl-elim :args (@t7 @t3359)) % 1.31/1.52 (step @p2557 :rule cong :premises (@p2556) :args ((forall @t1072 (=> @t7 @t3359)))) % 1.31/1.52 (step @p2558 :rule trans :premises (@p2557 @p2555)) % 1.31/1.52 (step @p2559 :rule refl :args ((tptp.singleton @t3361))) % 1.31/1.52 (step @p2560 :rule refl :args (@t3357)) % 1.31/1.52 (step @p2561 :rule cong :premises (@p2560) :args (@t3358)) % 1.31/1.52 (step @p2562 :rule trans :premises (@p2561 @p2559)) % 1.31/1.52 (step @p2563 :rule refl :args (tptp.singleton)) % 1.31/1.52 (step @p2564 :rule ho_cong :premises (@p2563 @p2560)) % 1.31/1.52 (step @p2565 :rule cong :premises (@p2564 @p2562) :args ((= (_ tptp.singleton @t3357) @t3358))) % 1.31/1.52 (step @p2566 :rule symm :premises (@p2565)) % 1.31/1.52 (step @p2567 :rule refl :args (@t3362)) % 1.31/1.52 (step @p2568 :rule eq_resolve :premises (@p2567 @p2566)) % 1.31/1.52 (step @p2569 :rule refl :args (@t3361)) % 1.31/1.52 (step @p2570 :rule cong :premises (@p2569 @p2560) :args ((= @t3361 @t3357))) % 1.31/1.52 (step @p2571 :rule symm :premises (@p2570)) % 1.31/1.52 (step @p2572 :rule eq_resolve :premises (@p2569 @p2571)) % 1.31/1.52 (step @p2573 :rule ho_cong :premises (@p2563 @p2572)) % 1.31/1.52 (step @p2574 :rule trans :premises (@p2573 @p2568)) % 1.31/1.52 (step @p2575 :rule nary_cong :premises (@p2265 @p2574) :args (@t3363)) % 1.31/1.52 (step @p2576 :rule cong :premises (@p2575) :args ((forall @t70 @t3363))) % 1.31/1.52 (step @p2577 :rule bool-impl-elim :args (@t21 @t3362)) % 1.31/1.52 (step @p2578 :rule cong :premises (@p2577) :args ((forall @t70 (=> @t21 @t3362)))) % 1.31/1.52 (step @p2579 :rule trans :premises (@p2578 @p2576)) % 1.31/1.52 (step @p2580 :rule eq-symm :args (@t289 @t19)) % 1.31/1.52 (step @p2581 :rule nary_cong :premises (@p2347 @p2580) :args (@t1062)) % 1.31/1.52 (step @p2582 :rule eq-symm :args (@t289 @t4)) % 1.31/1.52 (step @p2583 :rule nary_cong :premises (@p2327 @p2582) :args (@t1063)) % 1.31/1.52 (step @p2584 :rule nary_cong :premises (@p2583 @p2581) :args (@t1064)) % 1.31/1.52 (step @p2585 :rule cong :premises (@p2584) :args (@t1066)) % 1.31/1.52 (step @p2586 :rule refl :args (@t155)) % 1.31/1.52 (step @p2587 :rule ho_cong :premises (@p2586 @p2585)) % 1.31/1.52 (step @p2588 :rule refl :args (tptp.singleton)) % 1.31/1.52 (step @p2589 :rule ho_cong :premises (@p2588 @p2587)) % 1.31/1.52 (step @p2590 :rule cong :premises (@p2349 @p2589) :args (@t1095)) % 1.31/1.52 (step @p2591 :rule cong :premises (@p2590) :args (@t1096)) % 1.31/1.52 (step @p2592 :rule trans :premises (@p2591 @p2579)) % 1.31/1.52 (step @p2593 :rule cong :premises (@p2271 @p2592) :args (@t1097)) % 1.31/1.52 (step @p2594 :rule cong :premises (@p2593) :args (@t1098)) % 1.31/1.52 (step @p2595 :rule trans :premises (@p2594 @p2558)) % 1.31/1.52 (step @p2596 :rule refl :args (tptp.ifSingleton)) % 1.31/1.52 (step @p2597 :rule cong :premises (@p2596 @p2595) :args (@t1099)) % 1.31/1.52 (step @p2598 :rule eq_resolve :premises (@p221 @p2597)) % 1.31/1.52 (step @p2599 :rule cong :premises (@p2598 @p2529) :args (@t3364)) % 1.31/1.52 (step @p2600 :rule aci_norm :args ((= (or @t1730 false @t1802 @t1800) @t1803))) % 1.31/1.52 (step @p2601 :rule aci_norm :args ((= (or @t744 false) @t744))) % 1.31/1.52 (step @p2602 :rule absorb :args ((= (and false @t3365) false))) % 1.31/1.52 (step @p2603 :rule refl :args (@t3365)) % 1.31/1.52 (step @p2604 :rule nary_cong :premises (@p2363 @p2603) :args (@t3366)) % 1.31/1.52 (step @p2605 :rule trans :premises (@p2604 @p2602)) % 1.31/1.52 (step @p2606 :rule aci_norm :args ((= @t3367 @t744))) % 1.31/1.52 (step @p2607 :rule nary_cong :premises (@p2606 @p2605) :args (@t3368)) % 1.31/1.52 (step @p2608 :rule trans :premises (@p2607 @p2601)) % 1.31/1.52 (step @p2609 :rule cong :premises (@p2608) :args (@t3369)) % 1.31/1.52 (step @p2610 :rule cong :premises (@p2535 @p2609) :args (@t3370)) % 1.31/1.52 (step @p2611 :rule refl :args (@t1799)) % 1.31/1.52 (step @p2612 :rule cong :premises (@p2611 @p2610) :args (@t3371)) % 1.31/1.52 (step @p2613 :rule refl :args (@t1802)) % 1.31/1.52 (step @p2614 :rule nary_cong :premises (@p2364 @p2363 @p2613 @p2612) :args (@t3372)) % 1.31/1.52 (step @p2615 :rule trans :premises (@p2614 @p2600)) % 1.31/1.52 (step @p2616 :rule cong :premises (@p2615) :args ((forall @t1804 @t3372))) % 1.31/1.52 (step @p2617 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3291 @t1730 @t1061 @t1802 @t3373)) @t3372))) % 1.31/1.52 (step @p2618 :rule refl :args (@t3373)) % 1.31/1.52 (step @p2619 :rule refl :args (@t1802)) % 1.31/1.52 (step @p2620 :rule nary_cong :premises (@p2374 @p2212 @p2371 @p2619 @p2618) :args (@t3374)) % 1.31/1.52 (step @p2621 :rule aci_norm :args ((= @t3375 @t3374))) % 1.31/1.52 (step @p2622 :rule trans :premises (@p2621 @p2620)) % 1.31/1.52 (step @p2623 :rule cong :premises (@p2622) :args (@t3376)) % 1.31/1.52 (step @p2624 :rule trans :premises (@p2623 @p2617)) % 1.31/1.52 (step @p2625 :rule cong :premises (@p2624) :args (@t3377)) % 1.31/1.52 (step @p2626 :rule quant-merge-prenex :args ((= @t3377 @t3378))) % 1.31/1.52 (step @p2627 :rule symm :premises (@p2626)) % 1.31/1.52 (step @p2628 :rule quant_var_reordering :args ((= (forall @t3379 @t3375) @t3378))) % 1.31/1.52 (step @p2629 :rule trans :premises (@p2628 @p2627 @p2625)) % 1.31/1.52 (step @p2630 :rule trans :premises (@p2629 @p2616)) % 1.31/1.52 (step @p2631 :rule eq-symm :args (@t1801 @t289)) % 1.31/1.52 (step @p2632 :rule nary_cong :premises (@p2347 @p2631) :args (@t3380)) % 1.31/1.52 (step @p2633 :rule nary_cong :premises (@p2532 @p2632) :args (@t3381)) % 1.31/1.52 (step @p2634 :rule cong :premises (@p2633) :args (@t3382)) % 1.31/1.52 (step @p2635 :rule cong :premises (@p2535 @p2634) :args (@t3383)) % 1.31/1.52 (step @p2636 :rule cong :premises (@p2611 @p2635) :args (@t3384)) % 1.31/1.52 (step @p2637 :rule nary_cong :premises (@p2364 @p2347 @p2613 @p2636) :args (@t3385)) % 1.31/1.52 (step @p2638 :rule aci_norm :args ((= @t3387 @t3385))) % 1.31/1.52 (step @p2639 :rule trans :premises (@p2638 @p2637)) % 1.31/1.52 (step @p2640 :rule cong :premises (@p2639) :args (@t3388)) % 1.31/1.52 (step @p2641 :rule trans :premises (@p2640 @p2630)) % 1.31/1.52 (step @p2642 :rule quant-merge-prenex :args ((= (forall @t1072 @t3390) @t3388))) % 1.31/1.52 (step @p2643 :rule alpha_equiv :args (@t3391 (@list @t1801) @t3250)) % 1.31/1.52 (step @p2644 :rule nary_cong :premises (@p2212 @p2371 @p2643) :args (@t3392)) % 1.31/1.52 (step @p2645 :rule quant-miniscope-or :args ((= @t3390 @t3392))) % 1.31/1.52 (step @p2646 :rule trans :premises (@p2645 @p2644)) % 1.31/1.52 (step @p2647 :rule symm :premises (@p2646)) % 1.31/1.52 (step @p2648 :rule cong :premises (@p2647) :args ((forall @t1072 (or @t1730 @t1061 @t3393)))) % 1.31/1.52 (step @p2649 :rule trans :premises (@p2648 @p2642)) % 1.31/1.52 (step @p2650 :rule trans :premises (@p2649 @p2641)) % 1.31/1.52 (step @p2651 :rule refl :args (@t3393)) % 1.31/1.52 (step @p2652 :rule nary_cong :premises (@p936 @p2371 @p2651) :args (@t3394)) % 1.31/1.52 (step @p2653 :rule cong :premises (@p2652) :args ((forall @t1072 @t3394))) % 1.31/1.52 (step @p2654 :rule trans :premises (@p2653 @p2650)) % 1.31/1.52 (step @p2655 :rule aci_norm :args ((= (or @t197 @t3395) @t3394))) % 1.31/1.52 (step @p2656 :rule bool-impl-elim :args (@t7 @t3395)) % 1.31/1.52 (step @p2657 :rule trans :premises (@p2656 @p2655)) % 1.31/1.52 (step @p2658 :rule cong :premises (@p2657) :args ((forall @t1072 (=> @t7 @t3395)))) % 1.31/1.52 (step @p2659 :rule trans :premises (@p2658 @p2654)) % 1.31/1.52 (step @p2660 :rule refl :args (@t1799)) % 1.31/1.52 (step @p2661 :rule refl :args (@t279)) % 1.31/1.52 (step @p2662 :rule cong :premises (@p2661 @p2660) :args ((= @t279 @t1799))) % 1.31/1.52 (step @p2663 :rule symm :premises (@p2662)) % 1.31/1.52 (step @p2664 :rule eq_resolve :premises (@p2661 @p2663)) % 1.31/1.52 (step @p2665 :rule cong :premises (@p2664 @p2572) :args (@t3396)) % 1.31/1.52 (step @p2666 :rule nary_cong :premises (@p2265 @p2665) :args (@t3397)) % 1.31/1.52 (step @p2667 :rule cong :premises (@p2666) :args (@t3398)) % 1.31/1.52 (step @p2668 :rule nary_cong :premises (@p2347 @p2667) :args (@t3399)) % 1.31/1.52 (step @p2669 :rule quant-miniscope-or :args ((= (forall @t70 @t3400) @t3399))) % 1.31/1.52 (step @p2670 :rule aci_norm :args ((= @t3401 @t3400))) % 1.31/1.52 (step @p2671 :rule cong :premises (@p2670) :args ((forall @t70 @t3401))) % 1.31/1.52 (step @p2672 :rule trans :premises (@p2671 @p2669)) % 1.31/1.52 (step @p2673 :rule trans :premises (@p2672 @p2668)) % 1.31/1.52 (step @p2674 :rule aci_norm :args ((= (or @t3257 (or @t1061 @t3396)) @t3401))) % 1.31/1.52 (step @p2675 :rule bool-impl-elim :args (@t173 @t3396)) % 1.31/1.52 (step @p2676 :rule nary_cong :premises (@p2339 @p2675) :args ((or @t3257 @t3402))) % 1.31/1.52 (step @p2677 :rule trans :premises (@p2676 @p2674)) % 1.31/1.52 (step @p2678 :rule bool-impl-elim :args (@t21 @t3402)) % 1.31/1.52 (step @p2679 :rule trans :premises (@p2678 @p2677)) % 1.31/1.52 (step @p2680 :rule cong :premises (@p2679) :args ((forall @t70 (=> @t21 @t3402)))) % 1.31/1.52 (step @p2681 :rule trans :premises (@p2680 @p2673)) % 1.31/1.52 (step @p2682 :rule eq-symm :args (@t3361 @t279)) % 1.31/1.52 (step @p2683 :rule refl :args (@t279)) % 1.31/1.52 (step @p2684 :rule cong :premises (@p2587 @p2683) :args (@t1088)) % 1.31/1.52 (step @p2685 :rule trans :premises (@p2684 @p2682)) % 1.31/1.52 (step @p2686 :rule cong :premises (@p2327 @p2685) :args (@t1089)) % 1.31/1.52 (step @p2687 :rule cong :premises (@p2349 @p2686) :args (@t1090)) % 1.31/1.52 (step @p2688 :rule cong :premises (@p2687) :args (@t1091)) % 1.31/1.52 (step @p2689 :rule trans :premises (@p2688 @p2681)) % 1.31/1.52 (step @p2690 :rule cong :premises (@p2271 @p2689) :args (@t1092)) % 1.31/1.52 (step @p2691 :rule cong :premises (@p2690) :args (@t1093)) % 1.31/1.52 (step @p2692 :rule trans :premises (@p2691 @p2659)) % 1.31/1.52 (step @p2693 :rule refl :args (tptp.iftrueProp2)) % 1.31/1.52 (step @p2694 :rule cong :premises (@p2693 @p2692) :args (@t1094)) % 1.31/1.52 (step @p2695 :rule eq_resolve :premises (@p220 @p2694)) % 1.31/1.52 (step @p2696 :rule cong :premises (@p2695 @p2599) :args (@t3403)) % 1.31/1.52 (step @p2697 :rule aci_norm :args ((= (or @t1730 false @t1807 @t1805) @t1808))) % 1.31/1.52 (step @p2698 :rule absorb :args ((= (and false @t3404) false))) % 1.31/1.52 (step @p2699 :rule refl :args (@t3404)) % 1.31/1.52 (step @p2700 :rule nary_cong :premises (@p2363 @p2699) :args (@t3405)) % 1.31/1.52 (step @p2701 :rule trans :premises (@p2700 @p2698)) % 1.31/1.52 (step @p2702 :rule nary_cong :premises (@p2606 @p2701) :args (@t3406)) % 1.31/1.52 (step @p2703 :rule trans :premises (@p2702 @p2601)) % 1.31/1.52 (step @p2704 :rule cong :premises (@p2703) :args (@t3407)) % 1.31/1.52 (step @p2705 :rule cong :premises (@p2535 @p2704) :args (@t3408)) % 1.31/1.52 (step @p2706 :rule refl :args (@t4)) % 1.31/1.52 (step @p2707 :rule cong :premises (@p2706 @p2705) :args (@t3409)) % 1.31/1.52 (step @p2708 :rule refl :args (@t1807)) % 1.31/1.52 (step @p2709 :rule nary_cong :premises (@p2364 @p2363 @p2708 @p2707) :args (@t3410)) % 1.31/1.52 (step @p2710 :rule trans :premises (@p2709 @p2697)) % 1.31/1.52 (step @p2711 :rule cong :premises (@p2710) :args ((forall @t1809 @t3410))) % 1.31/1.52 (step @p2712 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3291 @t1730 @t1061 @t1807 @t3411)) @t3410))) % 1.31/1.52 (step @p2713 :rule refl :args (@t3411)) % 1.31/1.52 (step @p2714 :rule refl :args (@t1807)) % 1.31/1.52 (step @p2715 :rule nary_cong :premises (@p2374 @p2212 @p2371 @p2714 @p2713) :args (@t3412)) % 1.31/1.52 (step @p2716 :rule aci_norm :args ((= @t3413 @t3412))) % 1.31/1.52 (step @p2717 :rule trans :premises (@p2716 @p2715)) % 1.31/1.52 (step @p2718 :rule cong :premises (@p2717) :args (@t3414)) % 1.31/1.52 (step @p2719 :rule trans :premises (@p2718 @p2712)) % 1.31/1.52 (step @p2720 :rule cong :premises (@p2719) :args (@t3415)) % 1.31/1.52 (step @p2721 :rule quant-merge-prenex :args ((= @t3415 @t3416))) % 1.31/1.52 (step @p2722 :rule symm :premises (@p2721)) % 1.31/1.52 (step @p2723 :rule quant_var_reordering :args ((= (forall @t3417 @t3413) @t3416))) % 1.31/1.52 (step @p2724 :rule trans :premises (@p2723 @p2722 @p2720)) % 1.31/1.52 (step @p2725 :rule trans :premises (@p2724 @p2711)) % 1.31/1.52 (step @p2726 :rule eq-symm :args (@t1806 @t289)) % 1.31/1.52 (step @p2727 :rule nary_cong :premises (@p2347 @p2726) :args (@t3418)) % 1.31/1.52 (step @p2728 :rule nary_cong :premises (@p2532 @p2727) :args (@t3419)) % 1.31/1.52 (step @p2729 :rule cong :premises (@p2728) :args (@t3420)) % 1.31/1.52 (step @p2730 :rule cong :premises (@p2535 @p2729) :args (@t3421)) % 1.31/1.52 (step @p2731 :rule cong :premises (@p2706 @p2730) :args (@t3422)) % 1.31/1.52 (step @p2732 :rule nary_cong :premises (@p2364 @p2347 @p2708 @p2731) :args (@t3423)) % 1.31/1.52 (step @p2733 :rule aci_norm :args ((= @t3425 @t3423))) % 1.31/1.52 (step @p2734 :rule trans :premises (@p2733 @p2732)) % 1.31/1.52 (step @p2735 :rule cong :premises (@p2734) :args (@t3426)) % 1.31/1.52 (step @p2736 :rule trans :premises (@p2735 @p2725)) % 1.31/1.52 (step @p2737 :rule quant-merge-prenex :args ((= (forall @t1072 @t3428) @t3426))) % 1.31/1.52 (step @p2738 :rule alpha_equiv :args (@t3429 (@list @t1806) @t3250)) % 1.31/1.52 (step @p2739 :rule nary_cong :premises (@p2212 @p2371 @p2738) :args (@t3430)) % 1.31/1.52 (step @p2740 :rule quant-miniscope-or :args ((= @t3428 @t3430))) % 1.31/1.52 (step @p2741 :rule trans :premises (@p2740 @p2739)) % 1.31/1.52 (step @p2742 :rule symm :premises (@p2741)) % 1.31/1.52 (step @p2743 :rule cong :premises (@p2742) :args ((forall @t1072 (or @t1730 @t1061 @t3432)))) % 1.31/1.52 (step @p2744 :rule trans :premises (@p2743 @p2737)) % 1.31/1.52 (step @p2745 :rule trans :premises (@p2744 @p2736)) % 1.31/1.52 (step @p2746 :rule refl :args (@t3432)) % 1.31/1.52 (step @p2747 :rule nary_cong :premises (@p936 @p2371 @p2746) :args (@t3433)) % 1.31/1.52 (step @p2748 :rule cong :premises (@p2747) :args ((forall @t1072 @t3433))) % 1.31/1.52 (step @p2749 :rule trans :premises (@p2748 @p2745)) % 1.31/1.52 (step @p2750 :rule aci_norm :args ((= (or @t197 @t3434) @t3433))) % 1.31/1.52 (step @p2751 :rule bool-impl-elim :args (@t7 @t3434)) % 1.31/1.52 (step @p2752 :rule trans :premises (@p2751 @p2750)) % 1.31/1.52 (step @p2753 :rule cong :premises (@p2752) :args ((forall @t1072 (=> @t7 @t3434)))) % 1.31/1.52 (step @p2754 :rule trans :premises (@p2753 @p2749)) % 1.31/1.52 (step @p2755 :rule refl :args ((tptp.in @t4 @t3361))) % 1.31/1.52 (step @p2756 :rule cong :premises (@p914 @p2560) :args (@t3431)) % 1.31/1.52 (step @p2757 :rule trans :premises (@p2756 @p2755)) % 1.31/1.52 (step @p2758 :rule ho_cong :premises (@p917 @p2560)) % 1.31/1.52 (step @p2759 :rule cong :premises (@p2758 @p2757) :args ((= (_ @t5 @t3357) @t3431))) % 1.31/1.52 (step @p2760 :rule symm :premises (@p2759)) % 1.31/1.52 (step @p2761 :rule refl :args (@t3435)) % 1.31/1.52 (step @p2762 :rule eq_resolve :premises (@p2761 @p2760)) % 1.31/1.52 (step @p2763 :rule ho_cong :premises (@p917 @p2572)) % 1.31/1.52 (step @p2764 :rule trans :premises (@p2763 @p2762)) % 1.31/1.52 (step @p2765 :rule nary_cong :premises (@p2265 @p2764) :args (@t3436)) % 1.31/1.52 (step @p2766 :rule cong :premises (@p2765) :args (@t3437)) % 1.31/1.52 (step @p2767 :rule nary_cong :premises (@p2347 @p2766) :args (@t3438)) % 1.31/1.52 (step @p2768 :rule quant-miniscope-or :args ((= (forall @t70 @t3439) @t3438))) % 1.31/1.52 (step @p2769 :rule aci_norm :args ((= @t3440 @t3439))) % 1.31/1.52 (step @p2770 :rule cong :premises (@p2769) :args ((forall @t70 @t3440))) % 1.31/1.52 (step @p2771 :rule trans :premises (@p2770 @p2768)) % 1.31/1.52 (step @p2772 :rule trans :premises (@p2771 @p2767)) % 1.31/1.52 (step @p2773 :rule aci_norm :args ((= (or @t3257 (or @t1061 @t3435)) @t3440))) % 1.31/1.52 (step @p2774 :rule bool-impl-elim :args (@t173 @t3435)) % 1.31/1.52 (step @p2775 :rule nary_cong :premises (@p2339 @p2774) :args ((or @t3257 @t3441))) % 1.31/1.52 (step @p2776 :rule trans :premises (@p2775 @p2773)) % 1.31/1.52 (step @p2777 :rule bool-impl-elim :args (@t21 @t3441)) % 1.31/1.52 (step @p2778 :rule trans :premises (@p2777 @p2776)) % 1.31/1.52 (step @p2779 :rule cong :premises (@p2778) :args ((forall @t70 (=> @t21 @t3441)))) % 1.31/1.52 (step @p2780 :rule trans :premises (@p2779 @p2772)) % 1.31/1.52 (step @p2781 :rule refl :args (@t5)) % 1.31/1.52 (step @p2782 :rule ho_cong :premises (@p2781 @p2587)) % 1.31/1.52 (step @p2783 :rule cong :premises (@p2327 @p2782) :args (@t1082)) % 1.31/1.52 (step @p2784 :rule cong :premises (@p2349 @p2783) :args (@t1083)) % 1.31/1.52 (step @p2785 :rule cong :premises (@p2784) :args (@t1084)) % 1.31/1.52 (step @p2786 :rule trans :premises (@p2785 @p2780)) % 1.31/1.52 (step @p2787 :rule cong :premises (@p2271 @p2786) :args (@t1085)) % 1.31/1.52 (step @p2788 :rule cong :premises (@p2787) :args (@t1086)) % 1.31/1.52 (step @p2789 :rule trans :premises (@p2788 @p2754)) % 1.31/1.52 (step @p2790 :rule refl :args (tptp.iftrueProp1)) % 1.31/1.52 (step @p2791 :rule cong :premises (@p2790 @p2789) :args (@t1087)) % 1.31/1.52 (step @p2792 :rule eq_resolve :premises (@p219 @p2791)) % 1.31/1.52 (step @p2793 :rule cong :premises (@p2792 @p2696) :args (@t3442)) % 1.31/1.52 (step @p2794 :rule aci_norm :args ((= (or false @t1811) @t1811))) % 1.31/1.52 (step @p2795 :rule aci_norm :args ((= (and true @t1811) @t1811))) % 1.31/1.52 (step @p2796 :rule refl :args (@t1811)) % 1.31/1.52 (step @p2797 :rule evaluate :args (@t3443)) % 1.31/1.52 (step @p2798 :rule nary_cong :premises (@p2797 @p2796) :args (@t3444)) % 1.31/1.52 (step @p2799 :rule trans :premises (@p2798 @p2795)) % 1.31/1.52 (step @p2800 :rule absorb :args ((= @t3445 false))) % 1.31/1.52 (step @p2801 :rule nary_cong :premises (@p2800 @p2799) :args (@t3446)) % 1.31/1.52 (step @p2802 :rule trans :premises (@p2801 @p2794)) % 1.31/1.52 (step @p2803 :rule cong :premises (@p2802) :args (@t3447)) % 1.31/1.52 (step @p2804 :rule cong :premises (@p2535 @p2803) :args (@t3448)) % 1.31/1.52 (step @p2805 :rule refl :args (@t1812)) % 1.31/1.52 (step @p2806 :rule cong :premises (@p2805 @p2804) :args (@t3449)) % 1.31/1.52 (step @p2807 :rule refl :args (@t1813)) % 1.31/1.52 (step @p2808 :rule nary_cong :premises (@p2364 @p2807 @p2806) :args (@t3450)) % 1.31/1.52 (step @p2809 :rule aci_norm :args ((= @t3451 @t3450))) % 1.31/1.52 (step @p2810 :rule trans :premises (@p2809 @p2808)) % 1.31/1.52 (step @p2811 :rule cong :premises (@p2810) :args ((forall @t1814 @t3451))) % 1.31/1.52 (step @p2812 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t1730 @t173 @t1813 @t3452)) @t3451))) % 1.31/1.52 (step @p2813 :rule refl :args (@t3452)) % 1.31/1.52 (step @p2814 :rule refl :args (@t1813)) % 1.31/1.52 (step @p2815 :rule nary_cong :premises (@p2290 @p2212 @p2284 @p2814 @p2813) :args (@t3453)) % 1.31/1.52 (step @p2816 :rule aci_norm :args ((= @t3454 @t3453))) % 1.31/1.52 (step @p2817 :rule trans :premises (@p2816 @p2815)) % 1.31/1.52 (step @p2818 :rule cong :premises (@p2817) :args (@t3455)) % 1.31/1.52 (step @p2819 :rule trans :premises (@p2818 @p2812)) % 1.31/1.52 (step @p2820 :rule cong :premises (@p2819) :args (@t3456)) % 1.31/1.52 (step @p2821 :rule quant-merge-prenex :args ((= @t3456 @t3457))) % 1.31/1.52 (step @p2822 :rule symm :premises (@p2821)) % 1.31/1.52 (step @p2823 :rule quant_var_reordering :args ((= (forall @t3458 @t3454) @t3457))) % 1.31/1.52 (step @p2824 :rule trans :premises (@p2823 @p2822 @p2820)) % 1.31/1.52 (step @p2825 :rule trans :premises (@p2824 @p2811)) % 1.31/1.52 (step @p2826 :rule eq-symm :args (@t1810 @t289)) % 1.31/1.52 (step @p2827 :rule nary_cong :premises (@p2347 @p2826) :args (@t3459)) % 1.31/1.52 (step @p2828 :rule nary_cong :premises (@p2532 @p2827) :args (@t3460)) % 1.31/1.52 (step @p2829 :rule cong :premises (@p2828) :args (@t3461)) % 1.31/1.52 (step @p2830 :rule cong :premises (@p2535 @p2829) :args (@t3462)) % 1.31/1.52 (step @p2831 :rule cong :premises (@p2805 @p2830) :args (@t3463)) % 1.31/1.52 (step @p2832 :rule nary_cong :premises (@p2364 @p2327 @p2807 @p2831) :args (@t3464)) % 1.31/1.52 (step @p2833 :rule aci_norm :args ((= @t3466 @t3464))) % 1.31/1.52 (step @p2834 :rule trans :premises (@p2833 @p2832)) % 1.31/1.52 (step @p2835 :rule cong :premises (@p2834) :args (@t3467)) % 1.31/1.52 (step @p2836 :rule trans :premises (@p2835 @p2825)) % 1.31/1.52 (step @p2837 :rule quant-merge-prenex :args ((= (forall @t1072 @t3469) @t3467))) % 1.31/1.52 (step @p2838 :rule alpha_equiv :args (@t3470 (@list @t1810) @t3250)) % 1.31/1.52 (step @p2839 :rule nary_cong :premises (@p2212 @p2284 @p2838) :args (@t3471)) % 1.31/1.52 (step @p2840 :rule quant-miniscope-or :args ((= @t3469 @t3471))) % 1.31/1.52 (step @p2841 :rule trans :premises (@p2840 @p2839)) % 1.31/1.52 (step @p2842 :rule symm :premises (@p2841)) % 1.31/1.52 (step @p2843 :rule cong :premises (@p2842) :args ((forall @t1072 (or @t1730 @t173 @t3472)))) % 1.31/1.52 (step @p2844 :rule trans :premises (@p2843 @p2837)) % 1.31/1.52 (step @p2845 :rule trans :premises (@p2844 @p2836)) % 1.31/1.52 (step @p2846 :rule refl :args (@t3472)) % 1.31/1.52 (step @p2847 :rule nary_cong :premises (@p936 @p2284 @p2846) :args (@t3473)) % 1.31/1.52 (step @p2848 :rule cong :premises (@p2847) :args ((forall @t1072 @t3473))) % 1.31/1.52 (step @p2849 :rule trans :premises (@p2848 @p2845)) % 1.31/1.52 (step @p2850 :rule aci_norm :args ((= (or @t197 @t3474) @t3473))) % 1.31/1.52 (step @p2851 :rule bool-impl-elim :args (@t7 @t3474)) % 1.31/1.52 (step @p2852 :rule trans :premises (@p2851 @p2850)) % 1.31/1.52 (step @p2853 :rule cong :premises (@p2852) :args ((forall @t1072 (=> @t7 @t3474)))) % 1.31/1.52 (step @p2854 :rule trans :premises (@p2853 @p2849)) % 1.31/1.52 (step @p2855 :rule cong :premises (@p2250 @p2572) :args (@t3475)) % 1.31/1.52 (step @p2856 :rule nary_cong :premises (@p2265 @p2855) :args (@t3476)) % 1.31/1.52 (step @p2857 :rule cong :premises (@p2856) :args (@t3477)) % 1.31/1.52 (step @p2858 :rule nary_cong :premises (@p2327 @p2857) :args (@t3478)) % 1.31/1.52 (step @p2859 :rule quant-miniscope-or :args ((= (forall @t70 @t3479) @t3478))) % 1.31/1.52 (step @p2860 :rule aci_norm :args ((= @t3480 @t3479))) % 1.31/1.52 (step @p2861 :rule cong :premises (@p2860) :args ((forall @t70 @t3480))) % 1.31/1.52 (step @p2862 :rule trans :premises (@p2861 @p2859)) % 1.31/1.52 (step @p2863 :rule trans :premises (@p2862 @p2858)) % 1.31/1.52 (step @p2864 :rule aci_norm :args ((= (or @t3257 (or @t173 @t3475)) @t3480))) % 1.31/1.52 (step @p2865 :rule refl :args (@t3475)) % 1.31/1.52 (step @p2866 :rule nary_cong :premises (@p2288 @p2865) :args ((or @t3263 @t3475))) % 1.31/1.52 (step @p2867 :rule bool-impl-elim :args (@t1061 @t3475)) % 1.31/1.52 (step @p2868 :rule trans :premises (@p2867 @p2866)) % 1.31/1.52 (step @p2869 :rule nary_cong :premises (@p2339 @p2868) :args ((or @t3257 @t3481))) % 1.31/1.52 (step @p2870 :rule trans :premises (@p2869 @p2864)) % 1.31/1.52 (step @p2871 :rule bool-impl-elim :args (@t21 @t3481)) % 1.31/1.52 (step @p2872 :rule trans :premises (@p2871 @p2870)) % 1.31/1.52 (step @p2873 :rule cong :premises (@p2872) :args ((forall @t70 (=> @t21 @t3481)))) % 1.31/1.52 (step @p2874 :rule trans :premises (@p2873 @p2863)) % 1.31/1.52 (step @p2875 :rule eq-symm :args (@t3361 @t275)) % 1.31/1.52 (step @p2876 :rule refl :args (@t275)) % 1.31/1.52 (step @p2877 :rule cong :premises (@p2587 @p2876) :args (@t1075)) % 1.31/1.52 (step @p2878 :rule trans :premises (@p2877 @p2875)) % 1.31/1.52 (step @p2879 :rule cong :premises (@p2347 @p2878) :args (@t1076)) % 1.31/1.52 (step @p2880 :rule cong :premises (@p2349 @p2879) :args (@t1077)) % 1.31/1.52 (step @p2881 :rule cong :premises (@p2880) :args (@t1078)) % 1.31/1.52 (step @p2882 :rule trans :premises (@p2881 @p2874)) % 1.31/1.52 (step @p2883 :rule cong :premises (@p2271 @p2882) :args (@t1079)) % 1.31/1.52 (step @p2884 :rule cong :premises (@p2883) :args (@t1080)) % 1.31/1.52 (step @p2885 :rule trans :premises (@p2884 @p2854)) % 1.31/1.52 (step @p2886 :rule refl :args (tptp.iffalseProp2)) % 1.31/1.52 (step @p2887 :rule cong :premises (@p2886 @p2885) :args (@t1081)) % 1.31/1.52 (step @p2888 :rule eq_resolve :premises (@p218 @p2887)) % 1.31/1.52 (step @p2889 :rule cong :premises (@p2888 @p2793) :args (@t3482)) % 1.31/1.52 (step @p2890 :rule aci_norm :args ((= (or false @t1816) @t1816))) % 1.31/1.52 (step @p2891 :rule aci_norm :args ((= (and true @t1816) @t1816))) % 1.31/1.52 (step @p2892 :rule refl :args (@t1816)) % 1.31/1.52 (step @p2893 :rule nary_cong :premises (@p2797 @p2892) :args (@t3483)) % 1.31/1.52 (step @p2894 :rule trans :premises (@p2893 @p2891)) % 1.31/1.52 (step @p2895 :rule nary_cong :premises (@p2800 @p2894) :args (@t3484)) % 1.31/1.52 (step @p2896 :rule trans :premises (@p2895 @p2890)) % 1.31/1.52 (step @p2897 :rule cong :premises (@p2896) :args (@t3485)) % 1.31/1.52 (step @p2898 :rule cong :premises (@p2535 @p2897) :args (@t3486)) % 1.31/1.52 (step @p2899 :rule refl :args (@t1815)) % 1.31/1.52 (step @p2900 :rule cong :premises (@p2899 @p2898) :args (@t3487)) % 1.31/1.52 (step @p2901 :rule refl :args (@t1817)) % 1.31/1.52 (step @p2902 :rule nary_cong :premises (@p2364 @p2901 @p2900) :args (@t3488)) % 1.31/1.52 (step @p2903 :rule aci_norm :args ((= @t3489 @t3488))) % 1.31/1.52 (step @p2904 :rule trans :premises (@p2903 @p2902)) % 1.31/1.52 (step @p2905 :rule cong :premises (@p2904) :args ((forall @t1818 @t3489))) % 1.31/1.52 (step @p2906 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t1730 @t173 @t1817 @t3490)) @t3489))) % 1.31/1.52 (step @p2907 :rule refl :args (@t3490)) % 1.31/1.52 (step @p2908 :rule refl :args (@t1817)) % 1.31/1.52 (step @p2909 :rule nary_cong :premises (@p2290 @p2212 @p2284 @p2908 @p2907) :args (@t3491)) % 1.31/1.52 (step @p2910 :rule aci_norm :args ((= @t3492 @t3491))) % 1.31/1.52 (step @p2911 :rule trans :premises (@p2910 @p2909)) % 1.31/1.52 (step @p2912 :rule cong :premises (@p2911) :args (@t3493)) % 1.31/1.52 (step @p2913 :rule trans :premises (@p2912 @p2906)) % 1.31/1.52 (step @p2914 :rule cong :premises (@p2913) :args (@t3494)) % 1.31/1.52 (step @p2915 :rule quant-merge-prenex :args ((= @t3494 @t3495))) % 1.31/1.52 (step @p2916 :rule symm :premises (@p2915)) % 1.31/1.52 (step @p2917 :rule quant_var_reordering :args ((= (forall @t3496 @t3492) @t3495))) % 1.31/1.52 (step @p2918 :rule trans :premises (@p2917 @p2916 @p2914)) % 1.31/1.52 (step @p2919 :rule trans :premises (@p2918 @p2905)) % 1.31/1.52 (step @p2920 :rule eq-symm :args (@t1815 @t289)) % 1.31/1.52 (step @p2921 :rule nary_cong :premises (@p2347 @p2920) :args (@t3497)) % 1.31/1.52 (step @p2922 :rule nary_cong :premises (@p2532 @p2921) :args (@t3498)) % 1.31/1.52 (step @p2923 :rule cong :premises (@p2922) :args (@t3499)) % 1.31/1.52 (step @p2924 :rule cong :premises (@p2535 @p2923) :args (@t3500)) % 1.31/1.52 (step @p2925 :rule cong :premises (@p2899 @p2924) :args (@t3501)) % 1.31/1.52 (step @p2926 :rule nary_cong :premises (@p2364 @p2327 @p2901 @p2925) :args (@t3502)) % 1.31/1.52 (step @p2927 :rule aci_norm :args ((= @t3504 @t3502))) % 1.31/1.52 (step @p2928 :rule trans :premises (@p2927 @p2926)) % 1.31/1.52 (step @p2929 :rule cong :premises (@p2928) :args (@t3505)) % 1.31/1.52 (step @p2930 :rule trans :premises (@p2929 @p2919)) % 1.31/1.52 (step @p2931 :rule quant-merge-prenex :args ((= (forall @t1072 @t3507) @t3505))) % 1.31/1.52 (step @p2932 :rule alpha_equiv :args (@t3508 (@list @t1815) @t3250)) % 1.31/1.52 (step @p2933 :rule nary_cong :premises (@p2212 @p2284 @p2932) :args (@t3509)) % 1.31/1.52 (step @p2934 :rule quant-miniscope-or :args ((= @t3507 @t3509))) % 1.31/1.52 (step @p2935 :rule trans :premises (@p2934 @p2933)) % 1.31/1.52 (step @p2936 :rule symm :premises (@p2935)) % 1.31/1.52 (step @p2937 :rule cong :premises (@p2936) :args ((forall @t1072 (or @t1730 @t173 @t3511)))) % 1.31/1.52 (step @p2938 :rule trans :premises (@p2937 @p2931)) % 1.31/1.52 (step @p2939 :rule trans :premises (@p2938 @p2930)) % 1.31/1.52 (step @p2940 :rule refl :args (@t3511)) % 1.31/1.52 (step @p2941 :rule nary_cong :premises (@p936 @p2284 @p2940) :args (@t3512)) % 1.31/1.52 (step @p2942 :rule cong :premises (@p2941) :args ((forall @t1072 @t3512))) % 1.31/1.52 (step @p2943 :rule trans :premises (@p2942 @p2939)) % 1.31/1.52 (step @p2944 :rule aci_norm :args ((= (or @t197 @t3513) @t3512))) % 1.31/1.52 (step @p2945 :rule bool-impl-elim :args (@t7 @t3513)) % 1.31/1.52 (step @p2946 :rule trans :premises (@p2945 @p2944)) % 1.31/1.52 (step @p2947 :rule cong :premises (@p2946) :args ((forall @t1072 (=> @t7 @t3513)))) % 1.31/1.52 (step @p2948 :rule trans :premises (@p2947 @p2943)) % 1.31/1.52 (step @p2949 :rule refl :args ((tptp.in @t19 @t3361))) % 1.31/1.52 (step @p2950 :rule cong :premises (@p2323 @p2560) :args (@t3510)) % 1.31/1.52 (step @p2951 :rule trans :premises (@p2950 @p2949)) % 1.31/1.52 (step @p2952 :rule refl :args (@t20)) % 1.31/1.52 (step @p2953 :rule ho_cong :premises (@p2952 @p2560)) % 1.31/1.52 (step @p2954 :rule cong :premises (@p2953 @p2951) :args ((= (_ @t20 @t3357) @t3510))) % 1.31/1.52 (step @p2955 :rule symm :premises (@p2954)) % 1.31/1.52 (step @p2956 :rule refl :args (@t3514)) % 1.31/1.52 (step @p2957 :rule eq_resolve :premises (@p2956 @p2955)) % 1.31/1.52 (step @p2958 :rule ho_cong :premises (@p2952 @p2572)) % 1.31/1.52 (step @p2959 :rule trans :premises (@p2958 @p2957)) % 1.31/1.52 (step @p2960 :rule nary_cong :premises (@p2265 @p2959) :args (@t3515)) % 1.31/1.52 (step @p2961 :rule cong :premises (@p2960) :args (@t3516)) % 1.31/1.52 (step @p2962 :rule nary_cong :premises (@p2327 @p2961) :args (@t3517)) % 1.31/1.52 (step @p2963 :rule quant-miniscope-or :args ((= (forall @t70 @t3518) @t3517))) % 1.31/1.52 (step @p2964 :rule aci_norm :args ((= @t3519 @t3518))) % 1.31/1.52 (step @p2965 :rule cong :premises (@p2964) :args ((forall @t70 @t3519))) % 1.31/1.52 (step @p2966 :rule trans :premises (@p2965 @p2963)) % 1.31/1.52 (step @p2967 :rule trans :premises (@p2966 @p2962)) % 1.31/1.52 (step @p2968 :rule aci_norm :args ((= (or @t3257 (or @t173 @t3514)) @t3519))) % 1.31/1.52 (step @p2969 :rule nary_cong :premises (@p2288 @p2956) :args ((or @t3263 @t3514))) % 1.31/1.52 (step @p2970 :rule bool-impl-elim :args (@t1061 @t3514)) % 1.31/1.52 (step @p2971 :rule trans :premises (@p2970 @p2969)) % 1.31/1.52 (step @p2972 :rule nary_cong :premises (@p2339 @p2971) :args ((or @t3257 @t3520))) % 1.31/1.52 (step @p2973 :rule trans :premises (@p2972 @p2968)) % 1.31/1.52 (step @p2974 :rule bool-impl-elim :args (@t21 @t3520)) % 1.31/1.52 (step @p2975 :rule trans :premises (@p2974 @p2973)) % 1.31/1.52 (step @p2976 :rule cong :premises (@p2975) :args ((forall @t70 (=> @t21 @t3520)))) % 1.31/1.52 (step @p2977 :rule trans :premises (@p2976 @p2967)) % 1.31/1.52 (step @p2978 :rule refl :args (@t20)) % 1.31/1.52 (step @p2979 :rule ho_cong :premises (@p2978 @p2587)) % 1.31/1.52 (step @p2980 :rule cong :premises (@p2347 @p2979) :args (@t1068)) % 1.31/1.52 (step @p2981 :rule cong :premises (@p2349 @p2980) :args (@t1069)) % 1.31/1.52 (step @p2982 :rule cong :premises (@p2981) :args (@t1070)) % 1.31/1.52 (step @p2983 :rule trans :premises (@p2982 @p2977)) % 1.31/1.52 (step @p2984 :rule cong :premises (@p2271 @p2983) :args (@t1071)) % 1.31/1.52 (step @p2985 :rule cong :premises (@p2984) :args (@t1073)) % 1.31/1.52 (step @p2986 :rule trans :premises (@p2985 @p2948)) % 1.31/1.52 (step @p2987 :rule refl :args (tptp.iffalseProp1)) % 1.31/1.52 (step @p2988 :rule cong :premises (@p2987 @p2986) :args (@t1074)) % 1.31/1.52 (step @p2989 :rule eq_resolve :premises (@p217 @p2988)) % 1.31/1.52 (step @p2990 :rule cong :premises (@p2989 @p2889) :args (@t3521)) % 1.31/1.52 (step @p2991 :rule refl :args ((tptp.lam @t2 @t1 @t1049))) % 1.31/1.52 (step @p2992 :rule refl :args (@t1819)) % 1.31/1.52 (step @p2993 :rule cong :premises (@p2992) :args (@t1820)) % 1.31/1.52 (step @p2994 :rule refl :args (@t1)) % 1.31/1.52 (step @p2995 :rule cong :premises (@p983 @p2994 @p2993) :args (@t1821)) % 1.31/1.52 (step @p2996 :rule trans :premises (@p2995 @p2991)) % 1.31/1.52 (step @p2997 :rule refl :args (@t923)) % 1.31/1.52 (step @p2998 :rule ho_cong :premises (@p2997 @p2993)) % 1.31/1.52 (step @p2999 :rule cong :premises (@p2998 @p2996) :args ((= (_ @t923 @t1820) @t1821))) % 1.31/1.52 (step @p3000 :rule symm :premises (@p2999)) % 1.31/1.52 (step @p3001 :rule refl :args (@t1050)) % 1.31/1.52 (step @p3002 :rule eq_resolve :premises (@p3001 @p3000)) % 1.31/1.52 (step @p3003 :rule refl :args (@t897)) % 1.31/1.52 (step @p3004 :rule cong :premises (@p3003 @p2992) :args ((= @t897 @t1819))) % 1.31/1.52 (step @p3005 :rule symm :premises (@p3004)) % 1.31/1.52 (step @p3006 :rule eq_resolve :premises (@p3003 @p3005)) % 1.31/1.52 (step @p3007 :rule cong :premises (@p3006) :args (@t1049)) % 1.31/1.52 (step @p3008 :rule ho_cong :premises (@p2997 @p3007)) % 1.31/1.52 (step @p3009 :rule trans :premises (@p3008 @p3002)) % 1.31/1.52 (step @p3010 :rule refl :args (@t878)) % 1.31/1.52 (step @p3011 :rule cong :premises (@p3010 @p3009) :args (@t3522)) % 1.31/1.52 (step @p3012 :rule refl :args ((tptp.in @t878 @t903))) % 1.31/1.52 (step @p3013 :rule refl :args (@t1823)) % 1.31/1.52 (step @p3014 :rule cong :premises (@p3010 @p3013) :args (@t1824)) % 1.31/1.52 (step @p3015 :rule trans :premises (@p3014 @p3012)) % 1.31/1.52 (step @p3016 :rule refl :args (@t904)) % 1.31/1.52 (step @p3017 :rule ho_cong :premises (@p3016 @p3013)) % 1.31/1.52 (step @p3018 :rule cong :premises (@p3017 @p3015) :args ((= (_ @t904 @t1823) @t1824))) % 1.31/1.52 (step @p3019 :rule symm :premises (@p3018)) % 1.31/1.52 (step @p3020 :rule refl :args (@t905)) % 1.31/1.52 (step @p3021 :rule eq_resolve :premises (@p3020 @p3019)) % 1.31/1.52 (step @p3022 :rule refl :args (@t903)) % 1.31/1.52 (step @p3023 :rule cong :premises (@p3022 @p3013) :args ((= @t903 @t1823))) % 1.31/1.52 (step @p3024 :rule symm :premises (@p3023)) % 1.31/1.52 (step @p3025 :rule eq_resolve :premises (@p3022 @p3024)) % 1.31/1.52 (step @p3026 :rule ho_cong :premises (@p3016 @p3025)) % 1.31/1.52 (step @p3027 :rule trans :premises (@p3026 @p3021)) % 1.31/1.52 (step @p3028 :rule cong :premises (@p3027) :args (@t3523)) % 1.31/1.52 (step @p3029 :rule nary_cong :premises (@p3028 @p3011) :args (@t3524)) % 1.31/1.52 (step @p3030 :rule cong :premises (@p3029) :args ((forall @t887 @t3524))) % 1.31/1.52 (step @p3031 :rule bool-impl-elim :args (@t905 @t3522)) % 1.31/1.52 (step @p3032 :rule cong :premises (@p3031) :args ((forall @t887 (=> @t905 @t3522)))) % 1.31/1.52 (step @p3033 :rule trans :premises (@p3032 @p3030)) % 1.31/1.52 (step @p3034 :rule eq-symm :args (@t1050 @t878)) % 1.31/1.52 (step @p3035 :rule refl :args (@t905)) % 1.31/1.52 (step @p3036 :rule cong :premises (@p3035 @p3034) :args (@t1058)) % 1.31/1.52 (step @p3037 :rule cong :premises (@p3036) :args (@t1059)) % 1.31/1.52 (step @p3038 :rule trans :premises (@p3037 @p3033)) % 1.31/1.52 (step @p3039 :rule refl :args (tptp.eta2)) % 1.31/1.52 (step @p3040 :rule cong :premises (@p3039 @p3038) :args (@t1060)) % 1.31/1.52 (step @p3041 :rule eq_resolve :premises (@p216 @p3040)) % 1.31/1.52 (step @p3042 :rule cong :premises (@p3041 @p2990) :args (@t3525)) % 1.31/1.52 (step @p3043 :rule eq-symm :args (@t1836 tptp.beta2)) % 1.31/1.52 (step @p3044 :rule refl :args (tptp.beta2)) % 1.31/1.52 (step @p3045 :rule aci_norm :args ((= @t3527 @t1834))) % 1.31/1.52 (step @p3046 :rule cong :premises (@p3045) :args (@t3528)) % 1.31/1.52 (step @p3047 :rule quant-merge-prenex :args ((= (forall @t919 @t3530) @t3528))) % 1.31/1.52 (step @p3048 :rule alpha_equiv :args (@t3531 (@list @t1826) @t2833)) % 1.31/1.52 (step @p3049 :rule refl :args (@t1833)) % 1.31/1.52 (step @p3050 :rule nary_cong :premises (@p3049 @p3048) :args (@t3532)) % 1.31/1.52 (step @p3051 :rule quant-miniscope-or :args ((= @t3530 @t3532))) % 1.31/1.52 (step @p3052 :rule trans :premises (@p3051 @p3050)) % 1.31/1.52 (step @p3053 :rule symm :premises (@p3052)) % 1.31/1.52 (step @p3054 :rule cong :premises (@p3053) :args ((forall @t919 (or @t1833 @t3533)))) % 1.31/1.52 (step @p3055 :rule trans :premises (@p3054 @p3047)) % 1.31/1.52 (step @p3056 :rule trans :premises (@p3055 @p3046)) % 1.31/1.52 (step @p3057 :rule bool-impl-elim :args (@t1832 @t3533)) % 1.31/1.52 (step @p3058 :rule cong :premises (@p3057) :args ((forall @t919 (=> @t1832 @t3533)))) % 1.31/1.52 (step @p3059 :rule trans :premises (@p3058 @p3056)) % 1.31/1.52 (step @p3060 :rule lambda-elim :args ((= @t3535 @t913))) % 1.31/1.52 (step @p3061 :rule refl :args (@t1)) % 1.31/1.52 (step @p3062 :rule cong :premises (@p2535 @p3061 @p3060) :args (@t3536)) % 1.31/1.52 (step @p3063 :rule cong :premises (@p2535 @p3061 @p3062 @p2706) :args (@t3537)) % 1.31/1.52 (step @p3064 :rule refl :args (@t1830)) % 1.31/1.52 (step @p3065 :rule cong :premises (@p3064 @p3063) :args (@t3538)) % 1.31/1.52 (step @p3066 :rule nary_cong :premises (@p2364 @p3065) :args (@t3539)) % 1.31/1.52 (step @p3067 :rule cong :premises (@p3066) :args ((forall @t9 @t3539))) % 1.31/1.52 (step @p3068 :rule refl :args ((tptp.ap @t2 @t1 @t1042 @t4))) % 1.31/1.52 (step @p3069 :rule refl :args ((tptp.lam @t2 @t1 @t1041))) % 1.31/1.52 (step @p3070 :rule refl :args (@t3534)) % 1.31/1.52 (step @p3071 :rule cong :premises (@p3070) :args (@t3535)) % 1.31/1.52 (step @p3072 :rule cong :premises (@p983 @p2994 @p3071) :args (@t3536)) % 1.31/1.52 (step @p3073 :rule trans :premises (@p3072 @p3069)) % 1.31/1.52 (step @p3074 :rule cong :premises (@p983 @p2994 @p3073 @p914) :args (@t3537)) % 1.31/1.52 (step @p3075 :rule trans :premises (@p3074 @p3068)) % 1.31/1.52 (step @p3076 :rule refl :args (@t896)) % 1.31/1.52 (step @p3077 :rule ho_cong :premises (@p3076 @p3073)) % 1.31/1.52 (step @p3078 :rule ho_cong :premises (@p3077 @p914)) % 1.31/1.52 (step @p3079 :rule cong :premises (@p3078 @p3075) :args ((= (_ (_ @t896 @t3536) @t4) @t3537))) % 1.31/1.52 (step @p3080 :rule symm :premises (@p3079)) % 1.31/1.52 (step @p3081 :rule refl :args (@t1043)) % 1.31/1.52 (step @p3082 :rule eq_resolve :premises (@p3081 @p3080)) % 1.31/1.52 (step @p3083 :rule ho_cong :premises (@p2997 @p3071)) % 1.31/1.52 (step @p3084 :rule cong :premises (@p3083 @p3073) :args ((= (_ @t923 @t3535) @t3536))) % 1.31/1.52 (step @p3085 :rule symm :premises (@p3084)) % 1.31/1.52 (step @p3086 :rule refl :args (@t1042)) % 1.31/1.52 (step @p3087 :rule eq_resolve :premises (@p3086 @p3085)) % 1.31/1.52 (step @p3088 :rule refl :args (@t1040)) % 1.31/1.52 (step @p3089 :rule cong :premises (@p3088 @p3070) :args ((= @t1040 @t3534))) % 1.31/1.52 (step @p3090 :rule symm :premises (@p3089)) % 1.31/1.52 (step @p3091 :rule eq_resolve :premises (@p3088 @p3090)) % 1.31/1.52 (step @p3092 :rule cong :premises (@p3091) :args (@t1041)) % 1.31/1.52 (step @p3093 :rule ho_cong :premises (@p2997 @p3092)) % 1.31/1.52 (step @p3094 :rule trans :premises (@p3093 @p3087)) % 1.31/1.52 (step @p3095 :rule ho_cong :premises (@p3076 @p3094)) % 1.31/1.52 (step @p3096 :rule ho_cong :premises (@p3095 @p914)) % 1.31/1.52 (step @p3097 :rule trans :premises (@p3096 @p3082)) % 1.31/1.52 (step @p3098 :rule refl :args (@t1830)) % 1.31/1.52 (step @p3099 :rule refl :args (@t914)) % 1.31/1.52 (step @p3100 :rule cong :premises (@p3099 @p3098) :args ((= @t914 @t1830))) % 1.31/1.52 (step @p3101 :rule symm :premises (@p3100)) % 1.31/1.52 (step @p3102 :rule eq_resolve :premises (@p3099 @p3101)) % 1.31/1.52 (step @p3103 :rule cong :premises (@p3102 @p3097) :args (@t3540)) % 1.31/1.52 (step @p3104 :rule nary_cong :premises (@p936 @p3103) :args (@t3541)) % 1.31/1.52 (step @p3105 :rule cong :premises (@p3104) :args ((forall @t9 @t3541))) % 1.31/1.52 (step @p3106 :rule trans :premises (@p3105 @p3067)) % 1.31/1.52 (step @p3107 :rule bool-impl-elim :args (@t7 @t3540)) % 1.31/1.52 (step @p3108 :rule cong :premises (@p3107) :args ((forall @t9 (=> @t7 @t3540)))) % 1.31/1.52 (step @p3109 :rule trans :premises (@p3108 @p3106)) % 1.31/1.52 (step @p3110 :rule eq-symm :args (@t1043 @t914)) % 1.31/1.52 (step @p3111 :rule cong :premises (@p2271 @p3110) :args (@t1044)) % 1.31/1.52 (step @p3112 :rule cong :premises (@p3111) :args (@t1045)) % 1.31/1.52 (step @p3113 :rule trans :premises (@p3112 @p3109)) % 1.31/1.52 (step @p3114 :rule refl :args ((tptp.in @t914 @t1))) % 1.31/1.52 (step @p3115 :rule cong :premises (@p3098 @p2994) :args (@t1831)) % 1.31/1.52 (step @p3116 :rule trans :premises (@p3115 @p3114)) % 1.31/1.52 (step @p3117 :rule ho_cong :premises (@p990 @p3098)) % 1.31/1.52 (step @p3118 :rule ho_cong :premises (@p3117 @p2994)) % 1.31/1.52 (step @p3119 :rule cong :premises (@p3118 @p3116) :args ((= (_ (_ tptp.in @t1830) @t1) @t1831))) % 1.31/1.52 (step @p3120 :rule symm :premises (@p3119)) % 1.31/1.52 (step @p3121 :rule refl :args (@t916)) % 1.31/1.52 (step @p3122 :rule eq_resolve :premises (@p3121 @p3120)) % 1.31/1.52 (step @p3123 :rule ho_cong :premises (@p990 @p3102)) % 1.31/1.52 (step @p3124 :rule ho_cong :premises (@p3123 @p2994)) % 1.31/1.52 (step @p3125 :rule trans :premises (@p3124 @p3122)) % 1.31/1.52 (step @p3126 :rule nary_cong :premises (@p936 @p3125) :args (@t3542)) % 1.31/1.52 (step @p3127 :rule cong :premises (@p3126) :args ((forall @t9 @t3542))) % 1.31/1.52 (step @p3128 :rule bool-impl-elim :args (@t7 @t916)) % 1.31/1.52 (step @p3129 :rule cong :premises (@p3128) :args (@t917)) % 1.31/1.52 (step @p3130 :rule trans :premises (@p3129 @p3127)) % 1.31/1.52 (step @p3131 :rule cong :premises (@p3130 @p3113) :args (@t1046)) % 1.31/1.52 (step @p3132 :rule cong :premises (@p3131) :args (@t1047)) % 1.31/1.52 (step @p3133 :rule trans :premises (@p3132 @p3059)) % 1.31/1.52 (step @p3134 :rule cong :premises (@p3133 @p3044) :args ((= @t1047 tptp.beta2))) % 1.31/1.52 (step @p3135 :rule trans :premises (@p3134 @p3043)) % 1.31/1.52 (step @p3136 :rule eq-symm :args (tptp.beta2 @t1047)) % 1.31/1.52 (step @p3137 :rule trans :premises (@p3136 @p3135)) % 1.31/1.52 (step @p3138 :rule eq_resolve :premises (@p215 @p3137)) % 1.31/1.52 (step @p3139 :rule cong :premises (@p3138 @p3042) :args (@t3543)) % 1.31/1.52 (step @p3140 :rule bool-eq-true :args (tptp.lam2lamEq)) % 1.31/1.52 (step @p3141 :rule symm :premises (@p3140)) % 1.31/1.52 (step @p3142 :rule quant-unused-vars :args ((= (forall @t919 true) true))) % 1.31/1.52 (step @p3143 :rule bool-impl-true1 :args (@t1832)) % 1.31/1.52 (step @p3144 :rule eq-refl :args (@t924)) % 1.31/1.52 (step @p3145 :rule cong :premises (@p3130 @p3144) :args (@t1055)) % 1.31/1.52 (step @p3146 :rule trans :premises (@p3145 @p3143)) % 1.31/1.52 (step @p3147 :rule cong :premises (@p3146) :args (@t1056)) % 1.31/1.52 (step @p3148 :rule trans :premises (@p3147 @p3142)) % 1.31/1.52 (step @p3149 :rule refl :args (tptp.lam2lamEq)) % 1.31/1.52 (step @p3150 :rule cong :premises (@p3149 @p3148) :args (@t1057)) % 1.31/1.52 (step @p3151 :rule trans :premises (@p3150 @p3140)) % 1.31/1.52 (step @p3152 :rule eq_resolve :premises (@p214 @p3151)) % 1.31/1.52 (step @p3153 :rule eq_resolve :premises (@p3152 @p3141)) % 1.31/1.52 (step @p3154 :rule cong :premises (@p3153 @p3139) :args (@t3544)) % 1.31/1.52 (step @p3155 :rule refl :args (@t1838)) % 1.31/1.52 (step @p3156 :rule refl :args (@t885)) % 1.31/1.52 (step @p3157 :rule cong :premises (@p3156 @p3155) :args ((= @t885 @t1838))) % 1.31/1.52 (step @p3158 :rule symm :premises (@p3157)) % 1.31/1.52 (step @p3159 :rule eq_resolve :premises (@p3156 @p3158)) % 1.31/1.52 (step @p3160 :rule cong :premises (@p3159) :args (@t3545)) % 1.31/1.52 (step @p3161 :rule nary_cong :premises (@p3160 @p3011) :args (@t3546)) % 1.31/1.52 (step @p3162 :rule cong :premises (@p3161) :args ((forall @t887 @t3546))) % 1.31/1.52 (step @p3163 :rule bool-impl-elim :args (@t885 @t3522)) % 1.31/1.52 (step @p3164 :rule cong :premises (@p3163) :args ((forall @t887 (=> @t885 @t3522)))) % 1.31/1.52 (step @p3165 :rule trans :premises (@p3164 @p3162)) % 1.31/1.52 (step @p3166 :rule refl :args (@t885)) % 1.31/1.52 (step @p3167 :rule cong :premises (@p3166 @p3034) :args (@t1052)) % 1.31/1.52 (step @p3168 :rule cong :premises (@p3167) :args (@t1053)) % 1.31/1.52 (step @p3169 :rule trans :premises (@p3168 @p3165)) % 1.31/1.52 (step @p3170 :rule refl :args (tptp.eta1)) % 1.31/1.52 (step @p3171 :rule cong :premises (@p3170 @p3169) :args (@t1054)) % 1.31/1.52 (step @p3172 :rule eq_resolve :premises (@p213 @p3171)) % 1.31/1.52 (step @p3173 :rule cong :premises (@p3172 @p3154) :args (@t3547)) % 1.31/1.52 (step @p3174 :rule refl :args (tptp.beta1)) % 1.31/1.52 (step @p3175 :rule cong :premises (@p3174 @p3133) :args (@t1048)) % 1.31/1.52 (step @p3176 :rule eq_resolve :premises (@p212 @p3175)) % 1.31/1.52 (step @p3177 :rule cong :premises (@p3176 @p3173) :args (@t3548)) % 1.31/1.52 (step @p3178 :rule bool-eq-true :args (tptp.ap2apEq2)) % 1.31/1.52 (step @p3179 :rule symm :premises (@p3178)) % 1.31/1.52 (step @p3180 :rule quant-unused-vars :args ((= (forall @t887 true) true))) % 1.31/1.52 (step @p3181 :rule bool-impl-true1 :args (@t885)) % 1.31/1.52 (step @p3182 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.31/1.52 (step @p3183 :rule bool-impl-true1 :args (@t7)) % 1.31/1.52 (step @p3184 :rule eq-refl :args (@t897)) % 1.31/1.52 (step @p3185 :rule cong :premises (@p2271 @p3184) :args (@t1032)) % 1.31/1.52 (step @p3186 :rule trans :premises (@p3185 @p3183)) % 1.31/1.52 (step @p3187 :rule cong :premises (@p3186) :args (@t1033)) % 1.31/1.52 (step @p3188 :rule trans :premises (@p3187 @p3182)) % 1.31/1.52 (step @p3189 :rule cong :premises (@p3166 @p3188) :args (@t1037)) % 1.31/1.52 (step @p3190 :rule trans :premises (@p3189 @p3181)) % 1.31/1.52 (step @p3191 :rule cong :premises (@p3190) :args (@t1038)) % 1.31/1.52 (step @p3192 :rule trans :premises (@p3191 @p3180)) % 1.31/1.52 (step @p3193 :rule refl :args (tptp.ap2apEq2)) % 1.31/1.52 (step @p3194 :rule cong :premises (@p3193 @p3192) :args (@t1039)) % 1.31/1.52 (step @p3195 :rule trans :premises (@p3194 @p3178)) % 1.31/1.52 (step @p3196 :rule eq_resolve :premises (@p211 @p3195)) % 1.31/1.52 (step @p3197 :rule eq_resolve :premises (@p3196 @p3179)) % 1.31/1.52 (step @p3198 :rule cong :premises (@p3197 @p3177) :args (@t3549)) % 1.31/1.52 (step @p3199 :rule bool-eq-true :args (tptp.ap2apEq1)) % 1.31/1.52 (step @p3200 :rule symm :premises (@p3199)) % 1.31/1.52 (step @p3201 :rule bool-impl-true1 :args (@t905)) % 1.31/1.52 (step @p3202 :rule cong :premises (@p3035 @p3188) :args (@t1034)) % 1.31/1.52 (step @p3203 :rule trans :premises (@p3202 @p3201)) % 1.31/1.52 (step @p3204 :rule cong :premises (@p3203) :args (@t1035)) % 1.31/1.52 (step @p3205 :rule trans :premises (@p3204 @p3180)) % 1.31/1.52 (step @p3206 :rule refl :args (tptp.ap2apEq1)) % 1.31/1.52 (step @p3207 :rule cong :premises (@p3206 @p3205) :args (@t1036)) % 1.31/1.52 (step @p3208 :rule trans :premises (@p3207 @p3199)) % 1.31/1.52 (step @p3209 :rule eq_resolve :premises (@p210 @p3208)) % 1.31/1.52 (step @p3210 :rule eq_resolve :premises (@p3209 @p3200)) % 1.31/1.52 (step @p3211 :rule cong :premises (@p3210 @p3198) :args (@t3550)) % 1.31/1.52 (step @p3212 :rule aci_norm :args ((= @t3552 @t1845))) % 1.31/1.52 (step @p3213 :rule cong :premises (@p3212) :args (@t3553)) % 1.31/1.52 (step @p3214 :rule quant-merge-prenex :args ((= (forall @t887 @t3555) @t3553))) % 1.31/1.52 (step @p3215 :rule alpha_equiv :args (@t3556 (@list @t1841) @t3557)) % 1.31/1.52 (step @p3216 :rule refl :args (@t1825)) % 1.31/1.52 (step @p3217 :rule nary_cong :premises (@p3216 @p3215) :args (@t3558)) % 1.31/1.52 (step @p3218 :rule quant-miniscope-or :args ((= @t3555 @t3558))) % 1.31/1.52 (step @p3219 :rule trans :premises (@p3218 @p3217)) % 1.31/1.52 (step @p3220 :rule symm :premises (@p3219)) % 1.31/1.52 (step @p3221 :rule cong :premises (@p3220) :args ((forall @t887 (or @t1825 @t3563)))) % 1.31/1.52 (step @p3222 :rule trans :premises (@p3221 @p3214)) % 1.31/1.52 (step @p3223 :rule trans :premises (@p3222 @p3213)) % 1.31/1.52 (step @p3224 :rule refl :args (@t3563)) % 1.31/1.52 (step @p3225 :rule nary_cong :premises (@p3028 @p3224) :args (@t3564)) % 1.31/1.52 (step @p3226 :rule cong :premises (@p3225) :args ((forall @t887 @t3564))) % 1.31/1.52 (step @p3227 :rule trans :premises (@p3226 @p3223)) % 1.31/1.52 (step @p3228 :rule bool-impl-elim :args (@t905 @t3563)) % 1.31/1.52 (step @p3229 :rule cong :premises (@p3228) :args ((forall @t887 (=> @t905 @t3563)))) % 1.31/1.52 (step @p3230 :rule trans :premises (@p3229 @p3227)) % 1.31/1.52 (step @p3231 :rule refl :args (@t1018)) % 1.31/1.52 (step @p3232 :rule refl :args (@t3561)) % 1.31/1.52 (step @p3233 :rule refl :args ((tptp.in @t970 @t903))) % 1.31/1.52 (step @p3234 :rule refl :args (@t970)) % 1.31/1.52 (step @p3235 :rule cong :premises (@p3234 @p3013) :args (@t3562)) % 1.31/1.52 (step @p3236 :rule trans :premises (@p3235 @p3233)) % 1.31/1.52 (step @p3237 :rule refl :args (@t1025)) % 1.31/1.52 (step @p3238 :rule ho_cong :premises (@p3237 @p3013)) % 1.31/1.52 (step @p3239 :rule cong :premises (@p3238 @p3236) :args ((= (_ @t1025 @t1823) @t3562))) % 1.31/1.52 (step @p3240 :rule symm :premises (@p3239)) % 1.31/1.52 (step @p3241 :rule refl :args (@t1026)) % 1.31/1.52 (step @p3242 :rule eq_resolve :premises (@p3241 @p3240)) % 1.31/1.52 (step @p3243 :rule ho_cong :premises (@p3237 @p3025)) % 1.31/1.52 (step @p3244 :rule trans :premises (@p3243 @p3242)) % 1.31/1.52 (step @p3245 :rule cong :premises (@p3244) :args (@t3565)) % 1.31/1.52 (step @p3246 :rule nary_cong :premises (@p3245 @p3232 @p3231) :args (@t3566)) % 1.31/1.52 (step @p3247 :rule cong :premises (@p3246) :args ((forall @t982 @t3566))) % 1.31/1.52 (step @p3248 :rule aci_norm :args ((= (or @t3565 @t3567) @t3566))) % 1.31/1.52 (step @p3249 :rule bool-impl-elim :args (@t3560 @t1018)) % 1.31/1.52 (step @p3250 :rule refl :args (@t3565)) % 1.31/1.52 (step @p3251 :rule nary_cong :premises (@p3250 @p3249) :args ((or @t3565 @t3568))) % 1.31/1.52 (step @p3252 :rule trans :premises (@p3251 @p3248)) % 1.31/1.52 (step @p3253 :rule bool-impl-elim :args (@t1026 @t3568)) % 1.31/1.52 (step @p3254 :rule trans :premises (@p3253 @p3252)) % 1.31/1.52 (step @p3255 :rule cong :premises (@p3254) :args ((forall @t982 (=> @t1026 @t3568)))) % 1.31/1.52 (step @p3256 :rule trans :premises (@p3255 @p3247)) % 1.31/1.52 (step @p3257 :rule refl :args (@t1018)) % 1.31/1.52 (step @p3258 :rule refl :args (@t3559)) % 1.31/1.52 (step @p3259 :rule refl :args (@t976)) % 1.31/1.52 (step @p3260 :rule cong :premises (@p3259 @p3258) :args ((= @t976 @t3559))) % 1.31/1.52 (step @p3261 :rule symm :premises (@p3260)) % 1.31/1.52 (step @p3262 :rule eq_resolve :premises (@p3259 @p3261)) % 1.31/1.52 (step @p3263 :rule cong :premises (@p3006 @p3262) :args (@t977)) % 1.31/1.52 (step @p3264 :rule nary_cong :premises (@p936 @p3263) :args (@t3569)) % 1.31/1.52 (step @p3265 :rule cong :premises (@p3264) :args ((forall @t9 @t3569))) % 1.31/1.52 (step @p3266 :rule bool-impl-elim :args (@t7 @t977)) % 1.31/1.52 (step @p3267 :rule cong :premises (@p3266) :args (@t978)) % 1.31/1.52 (step @p3268 :rule trans :premises (@p3267 @p3265)) % 1.31/1.52 (step @p3269 :rule cong :premises (@p3268 @p3257) :args (@t1019)) % 1.31/1.52 (step @p3270 :rule refl :args (@t1026)) % 1.31/1.52 (step @p3271 :rule cong :premises (@p3270 @p3269) :args (@t1027)) % 1.31/1.52 (step @p3272 :rule cong :premises (@p3271) :args (@t1028)) % 1.31/1.52 (step @p3273 :rule trans :premises (@p3272 @p3256)) % 1.31/1.52 (step @p3274 :rule cong :premises (@p3035 @p3273) :args (@t1029)) % 1.31/1.52 (step @p3275 :rule cong :premises (@p3274) :args (@t1030)) % 1.31/1.52 (step @p3276 :rule trans :premises (@p3275 @p3230)) % 1.31/1.52 (step @p3277 :rule refl :args (tptp.funcext2)) % 1.31/1.52 (step @p3278 :rule cong :premises (@p3277 @p3276) :args (@t1031)) % 1.31/1.52 (step @p3279 :rule eq_resolve :premises (@p209 @p3278)) % 1.31/1.52 (step @p3280 :rule cong :premises (@p3279 @p3211) :args (@t3570)) % 1.31/1.52 (step @p3281 :rule aci_norm :args ((= @t3572 @t1852))) % 1.31/1.52 (step @p3282 :rule cong :premises (@p3281) :args (@t3573)) % 1.31/1.52 (step @p3283 :rule quant-merge-prenex :args ((= (forall @t887 @t3575) @t3573))) % 1.31/1.52 (step @p3284 :rule alpha_equiv :args (@t3576 (@list @t1848) @t3557)) % 1.31/1.52 (step @p3285 :rule refl :args (@t1839)) % 1.31/1.52 (step @p3286 :rule nary_cong :premises (@p3285 @p3284) :args (@t3577)) % 1.31/1.52 (step @p3287 :rule quant-miniscope-or :args ((= @t3575 @t3577))) % 1.31/1.52 (step @p3288 :rule trans :premises (@p3287 @p3286)) % 1.31/1.52 (step @p3289 :rule symm :premises (@p3288)) % 1.31/1.52 (step @p3290 :rule cong :premises (@p3289) :args ((forall @t887 (or @t1839 @t3580)))) % 1.31/1.52 (step @p3291 :rule trans :premises (@p3290 @p3283)) % 1.31/1.52 (step @p3292 :rule trans :premises (@p3291 @p3282)) % 1.31/1.52 (step @p3293 :rule refl :args (@t3580)) % 1.31/1.52 (step @p3294 :rule nary_cong :premises (@p3160 @p3293) :args (@t3581)) % 1.31/1.52 (step @p3295 :rule cong :premises (@p3294) :args ((forall @t887 @t3581))) % 1.31/1.52 (step @p3296 :rule trans :premises (@p3295 @p3292)) % 1.31/1.52 (step @p3297 :rule bool-impl-elim :args (@t885 @t3580)) % 1.31/1.52 (step @p3298 :rule cong :premises (@p3297) :args ((forall @t887 (=> @t885 @t3580)))) % 1.31/1.52 (step @p3299 :rule trans :premises (@p3298 @p3296)) % 1.31/1.52 (step @p3300 :rule refl :args (@t3578)) % 1.31/1.52 (step @p3301 :rule refl :args (@t980)) % 1.31/1.52 (step @p3302 :rule cong :premises (@p3301 @p3300) :args ((= @t980 @t3578))) % 1.31/1.52 (step @p3303 :rule symm :premises (@p3302)) % 1.31/1.52 (step @p3304 :rule eq_resolve :premises (@p3301 @p3303)) % 1.31/1.52 (step @p3305 :rule cong :premises (@p3304) :args (@t3582)) % 1.31/1.52 (step @p3306 :rule nary_cong :premises (@p3305 @p3232 @p3231) :args (@t3583)) % 1.31/1.52 (step @p3307 :rule cong :premises (@p3306) :args ((forall @t982 @t3583))) % 1.31/1.52 (step @p3308 :rule aci_norm :args ((= (or @t3582 @t3567) @t3583))) % 1.31/1.52 (step @p3309 :rule refl :args (@t3582)) % 1.31/1.52 (step @p3310 :rule nary_cong :premises (@p3309 @p3249) :args ((or @t3582 @t3568))) % 1.31/1.52 (step @p3311 :rule trans :premises (@p3310 @p3308)) % 1.31/1.52 (step @p3312 :rule bool-impl-elim :args (@t980 @t3568)) % 1.31/1.52 (step @p3313 :rule trans :premises (@p3312 @p3311)) % 1.31/1.52 (step @p3314 :rule cong :premises (@p3313) :args ((forall @t982 (=> @t980 @t3568)))) % 1.31/1.52 (step @p3315 :rule trans :premises (@p3314 @p3307)) % 1.31/1.52 (step @p3316 :rule refl :args (@t980)) % 1.31/1.52 (step @p3317 :rule cong :premises (@p3316 @p3269) :args (@t1020)) % 1.31/1.52 (step @p3318 :rule cong :premises (@p3317) :args (@t1021)) % 1.31/1.52 (step @p3319 :rule trans :premises (@p3318 @p3315)) % 1.31/1.52 (step @p3320 :rule cong :premises (@p3166 @p3319) :args (@t1022)) % 1.31/1.52 (step @p3321 :rule cong :premises (@p3320) :args (@t1023)) % 1.31/1.52 (step @p3322 :rule trans :premises (@p3321 @p3299)) % 1.31/1.52 (step @p3323 :rule refl :args (tptp.funcext)) % 1.31/1.52 (step @p3324 :rule cong :premises (@p3323 @p3322) :args (@t1024)) % 1.31/1.52 (step @p3325 :rule eq_resolve :premises (@p208 @p3324)) % 1.31/1.52 (step @p3326 :rule cong :premises (@p3325 @p3280) :args (@t3584)) % 1.31/1.52 (step @p3327 :rule aci_norm :args ((= @t3586 @t1873))) % 1.31/1.52 (step @p3328 :rule cong :premises (@p3327) :args (@t3587)) % 1.31/1.52 (step @p3329 :rule quant-merge-prenex :args ((= (forall @t946 @t3589) @t3587))) % 1.31/1.52 (step @p3330 :rule alpha_equiv :args (@t3590 (@list @t1855) @t3591)) % 1.31/1.52 (step @p3331 :rule refl :args (@t1872)) % 1.31/1.52 (step @p3332 :rule nary_cong :premises (@p3331 @p3330) :args (@t3592)) % 1.31/1.52 (step @p3333 :rule quant-miniscope-or :args ((= @t3589 @t3592))) % 1.31/1.52 (step @p3334 :rule trans :premises (@p3333 @p3332)) % 1.31/1.52 (step @p3335 :rule symm :premises (@p3334)) % 1.31/1.52 (step @p3336 :rule cong :premises (@p3335) :args ((forall @t946 (or @t1872 @t3603)))) % 1.31/1.52 (step @p3337 :rule trans :premises (@p3336 @p3329)) % 1.31/1.52 (step @p3338 :rule trans :premises (@p3337 @p3328)) % 1.31/1.52 (step @p3339 :rule refl :args (@t3603)) % 1.31/1.52 (step @p3340 :rule refl :args ((tptp.subset @t933 @t675))) % 1.31/1.52 (step @p3341 :rule refl :args (@t1869)) % 1.31/1.52 (step @p3342 :rule refl :args (@t933)) % 1.31/1.52 (step @p3343 :rule cong :premises (@p3342 @p3341) :args (@t1871)) % 1.31/1.52 (step @p3344 :rule trans :premises (@p3343 @p3340)) % 1.31/1.52 (step @p3345 :rule refl :args (@t991)) % 1.31/1.52 (step @p3346 :rule ho_cong :premises (@p3345 @p3341)) % 1.31/1.52 (step @p3347 :rule cong :premises (@p3346 @p3344) :args ((= (_ @t991 @t1869) @t1871))) % 1.31/1.52 (step @p3348 :rule symm :premises (@p3347)) % 1.31/1.52 (step @p3349 :rule refl :args (@t3604)) % 1.31/1.52 (step @p3350 :rule eq_resolve :premises (@p3349 @p3348)) % 1.31/1.52 (step @p3351 :rule refl :args (@t675)) % 1.31/1.52 (step @p3352 :rule cong :premises (@p3351 @p3341) :args ((= @t675 @t1869))) % 1.31/1.52 (step @p3353 :rule symm :premises (@p3352)) % 1.31/1.52 (step @p3354 :rule eq_resolve :premises (@p3351 @p3353)) % 1.31/1.52 (step @p3355 :rule ho_cong :premises (@p3345 @p3354)) % 1.31/1.52 (step @p3356 :rule trans :premises (@p3355 @p3350)) % 1.31/1.52 (step @p3357 :rule cong :premises (@p3356) :args (@t3605)) % 1.31/1.52 (step @p3358 :rule nary_cong :premises (@p3357 @p3339) :args (@t3606)) % 1.31/1.52 (step @p3359 :rule cong :premises (@p3358) :args ((forall @t946 @t3606))) % 1.31/1.52 (step @p3360 :rule trans :premises (@p3359 @p3338)) % 1.31/1.52 (step @p3361 :rule bool-impl-elim :args (@t3604 @t3603)) % 1.31/1.52 (step @p3362 :rule cong :premises (@p3361) :args ((forall @t946 (=> @t3604 @t3603)))) % 1.31/1.52 (step @p3363 :rule trans :premises (@p3362 @p3360)) % 1.31/1.52 (step @p3364 :rule refl :args (@t1006)) % 1.31/1.52 (step @p3365 :rule refl :args (@t3596)) % 1.31/1.52 (step @p3366 :rule refl :args (@t3600)) % 1.31/1.52 (step @p3367 :rule refl :args ((tptp.subset @t990 @t675))) % 1.31/1.52 (step @p3368 :rule refl :args (@t990)) % 1.31/1.52 (step @p3369 :rule cong :premises (@p3368 @p3341) :args (@t3601)) % 1.31/1.52 (step @p3370 :rule trans :premises (@p3369 @p3367)) % 1.31/1.52 (step @p3371 :rule refl :args (@t3607)) % 1.31/1.52 (step @p3372 :rule ho_cong :premises (@p3371 @p3341)) % 1.31/1.52 (step @p3373 :rule cong :premises (@p3372 @p3370) :args ((= (_ @t3607 @t1869) @t3601))) % 1.31/1.52 (step @p3374 :rule symm :premises (@p3373)) % 1.31/1.52 (step @p3375 :rule refl :args (@t3608)) % 1.31/1.52 (step @p3376 :rule eq_resolve :premises (@p3375 @p3374)) % 1.31/1.52 (step @p3377 :rule ho_cong :premises (@p3371 @p3354)) % 1.31/1.52 (step @p3378 :rule trans :premises (@p3377 @p3376)) % 1.31/1.52 (step @p3379 :rule cong :premises (@p3378) :args (@t3609)) % 1.31/1.52 (step @p3380 :rule nary_cong :premises (@p3379 @p3366 @p3365 @p3364) :args (@t3610)) % 1.31/1.52 (step @p3381 :rule cong :premises (@p3380) :args ((forall @t1001 @t3610))) % 1.31/1.52 (step @p3382 :rule aci_norm :args ((= (or @t3609 @t3611) @t3610))) % 1.31/1.52 (step @p3383 :rule aci_norm :args ((= (or @t3600 (or @t3596 @t1006)) @t3611))) % 1.31/1.52 (step @p3384 :rule bool-impl-elim :args (@t3595 @t1006)) % 1.31/1.52 (step @p3385 :rule nary_cong :premises (@p3366 @p3384) :args ((or @t3600 @t3612))) % 1.31/1.52 (step @p3386 :rule trans :premises (@p3385 @p3383)) % 1.31/1.52 (step @p3387 :rule bool-impl-elim :args (@t3599 @t3612)) % 1.31/1.52 (step @p3388 :rule trans :premises (@p3387 @p3386)) % 1.31/1.52 (step @p3389 :rule refl :args (@t3609)) % 1.31/1.52 (step @p3390 :rule nary_cong :premises (@p3389 @p3388) :args ((or @t3609 @t3613))) % 1.31/1.52 (step @p3391 :rule trans :premises (@p3390 @p3382)) % 1.31/1.52 (step @p3392 :rule bool-impl-elim :args (@t3608 @t3613)) % 1.31/1.52 (step @p3393 :rule trans :premises (@p3392 @p3391)) % 1.31/1.52 (step @p3394 :rule cong :premises (@p3393) :args ((forall @t1001 (=> @t3608 @t3613)))) % 1.31/1.52 (step @p3395 :rule trans :premises (@p3394 @p3381)) % 1.31/1.52 (step @p3396 :rule refl :args (@t1006)) % 1.31/1.52 (step @p3397 :rule aci_norm :args ((= @t3615 @t3594))) % 1.31/1.52 (step @p3398 :rule cong :premises (@p3397) :args (@t3616)) % 1.31/1.52 (step @p3399 :rule quant-merge-prenex :args ((= (forall @t9 @t3618) @t3616))) % 1.31/1.52 (step @p3400 :rule alpha_equiv :args (@t3619 (@list @t1857) @t3250)) % 1.31/1.52 (step @p3401 :rule nary_cong :premises (@p2212 @p3400) :args (@t3620)) % 1.31/1.52 (step @p3402 :rule quant-miniscope-or :args ((= @t3618 @t3620))) % 1.31/1.52 (step @p3403 :rule trans :premises (@p3402 @p3401)) % 1.31/1.52 (step @p3404 :rule symm :premises (@p3403)) % 1.31/1.52 (step @p3405 :rule cong :premises (@p3404) :args ((forall @t9 (or @t1730 @t3624)))) % 1.31/1.52 (step @p3406 :rule trans :premises (@p3405 @p3399)) % 1.31/1.52 (step @p3407 :rule trans :premises (@p3406 @p3398)) % 1.31/1.52 (step @p3408 :rule refl :args (@t3624)) % 1.31/1.52 (step @p3409 :rule nary_cong :premises (@p936 @p3408) :args (@t3625)) % 1.31/1.52 (step @p3410 :rule cong :premises (@p3409) :args ((forall @t9 @t3625))) % 1.31/1.52 (step @p3411 :rule trans :premises (@p3410 @p3407)) % 1.31/1.52 (step @p3412 :rule bool-impl-elim :args (@t7 @t3624)) % 1.31/1.52 (step @p3413 :rule cong :premises (@p3412) :args ((forall @t9 (=> @t7 @t3624)))) % 1.31/1.52 (step @p3414 :rule trans :premises (@p3413 @p3411)) % 1.31/1.52 (step @p3415 :rule refl :args ((tptp.in @t633 @t933))) % 1.31/1.52 (step @p3416 :rule refl :args (@t1985)) % 1.31/1.52 (step @p3417 :rule cong :premises (@p3416 @p3342) :args (@t3621)) % 1.31/1.52 (step @p3418 :rule trans :premises (@p3417 @p3415)) % 1.31/1.52 (step @p3419 :rule ho_cong :premises (@p990 @p3416)) % 1.31/1.52 (step @p3420 :rule ho_cong :premises (@p3419 @p3342)) % 1.31/1.52 (step @p3421 :rule cong :premises (@p3420 @p3418) :args ((= (_ @t3626 @t933) @t3621))) % 1.31/1.52 (step @p3422 :rule symm :premises (@p3421)) % 1.31/1.52 (step @p3423 :rule refl :args (@t937)) % 1.31/1.52 (step @p3424 :rule eq_resolve :premises (@p3423 @p3422)) % 1.31/1.52 (step @p3425 :rule refl :args (@t633)) % 1.31/1.52 (step @p3426 :rule cong :premises (@p3425 @p3416) :args ((= @t633 @t1985))) % 1.31/1.52 (step @p3427 :rule symm :premises (@p3426)) % 1.31/1.52 (step @p3428 :rule eq_resolve :premises (@p3425 @p3427)) % 1.31/1.52 (step @p3429 :rule ho_cong :premises (@p990 @p3428)) % 1.31/1.52 (step @p3430 :rule ho_cong :premises (@p3429 @p3342)) % 1.31/1.52 (step @p3431 :rule trans :premises (@p3430 @p3424)) % 1.31/1.52 (step @p3432 :rule refl :args ((tptp.in @t633 @t990))) % 1.31/1.52 (step @p3433 :rule cong :premises (@p3416 @p3368) :args (@t3622)) % 1.31/1.52 (step @p3434 :rule trans :premises (@p3433 @p3432)) % 1.31/1.52 (step @p3435 :rule ho_cong :premises (@p3419 @p3368)) % 1.31/1.52 (step @p3436 :rule cong :premises (@p3435 @p3434) :args ((= (_ @t3626 @t990) @t3622))) % 1.31/1.52 (step @p3437 :rule symm :premises (@p3436)) % 1.31/1.52 (step @p3438 :rule refl :args (@t993)) % 1.31/1.52 (step @p3439 :rule eq_resolve :premises (@p3438 @p3437)) % 1.31/1.52 (step @p3440 :rule ho_cong :premises (@p3429 @p3368)) % 1.31/1.52 (step @p3441 :rule trans :premises (@p3440 @p3439)) % 1.31/1.52 (step @p3442 :rule cong :premises (@p3441) :args (@t3627)) % 1.31/1.52 (step @p3443 :rule refl :args (@t1989)) % 1.31/1.52 (step @p3444 :rule refl :args (@t354)) % 1.31/1.52 (step @p3445 :rule cong :premises (@p3444 @p3443) :args ((= @t354 @t1989))) % 1.31/1.52 (step @p3446 :rule symm :premises (@p3445)) % 1.31/1.52 (step @p3447 :rule eq_resolve :premises (@p3444 @p3446)) % 1.31/1.52 (step @p3448 :rule cong :premises (@p3447) :args (@t3628)) % 1.31/1.52 (step @p3449 :rule nary_cong :premises (@p3448 @p3442 @p3431) :args (@t3629)) % 1.31/1.52 (step @p3450 :rule cong :premises (@p3449) :args ((forall @t70 @t3629))) % 1.31/1.52 (step @p3451 :rule aci_norm :args ((= (or @t3628 (or @t3627 @t937)) @t3629))) % 1.31/1.52 (step @p3452 :rule bool-impl-elim :args (@t993 @t937)) % 1.31/1.52 (step @p3453 :rule refl :args (@t3628)) % 1.31/1.52 (step @p3454 :rule nary_cong :premises (@p3453 @p3452) :args ((or @t3628 @t1007))) % 1.31/1.52 (step @p3455 :rule trans :premises (@p3454 @p3451)) % 1.31/1.52 (step @p3456 :rule bool-impl-elim :args (@t354 @t1007)) % 1.31/1.52 (step @p3457 :rule trans :premises (@p3456 @p3455)) % 1.31/1.52 (step @p3458 :rule cong :premises (@p3457) :args (@t1008)) % 1.31/1.52 (step @p3459 :rule trans :premises (@p3458 @p3450)) % 1.31/1.52 (step @p3460 :rule cong :premises (@p2271 @p3459) :args (@t1009)) % 1.31/1.52 (step @p3461 :rule cong :premises (@p3460) :args (@t1010)) % 1.31/1.52 (step @p3462 :rule trans :premises (@p3461 @p3414)) % 1.31/1.52 (step @p3463 :rule cong :premises (@p3462 @p3396) :args (@t1011)) % 1.31/1.52 (step @p3464 :rule aci_norm :args ((= @t3631 @t3598))) % 1.31/1.52 (step @p3465 :rule cong :premises (@p3464) :args (@t3632)) % 1.31/1.52 (step @p3466 :rule quant-merge-prenex :args ((= (forall @t9 @t3634) @t3632))) % 1.31/1.52 (step @p3467 :rule alpha_equiv :args (@t3635 (@list @t1863) @t3250)) % 1.31/1.52 (step @p3468 :rule nary_cong :premises (@p2212 @p3467) :args (@t3636)) % 1.31/1.52 (step @p3469 :rule quant-miniscope-or :args ((= @t3634 @t3636))) % 1.31/1.52 (step @p3470 :rule trans :premises (@p3469 @p3468)) % 1.31/1.52 (step @p3471 :rule symm :premises (@p3470)) % 1.31/1.52 (step @p3472 :rule cong :premises (@p3471) :args ((forall @t9 (or @t1730 @t3638)))) % 1.31/1.52 (step @p3473 :rule trans :premises (@p3472 @p3466)) % 1.31/1.52 (step @p3474 :rule trans :premises (@p3473 @p3465)) % 1.31/1.52 (step @p3475 :rule refl :args (@t3638)) % 1.31/1.52 (step @p3476 :rule nary_cong :premises (@p936 @p3475) :args (@t3639)) % 1.31/1.52 (step @p3477 :rule cong :premises (@p3476) :args ((forall @t9 @t3639))) % 1.31/1.52 (step @p3478 :rule trans :premises (@p3477 @p3474)) % 1.31/1.52 (step @p3479 :rule bool-impl-elim :args (@t7 @t3638)) % 1.31/1.52 (step @p3480 :rule cong :premises (@p3479) :args ((forall @t9 (=> @t7 @t3638)))) % 1.31/1.52 (step @p3481 :rule trans :premises (@p3480 @p3478)) % 1.31/1.52 (step @p3482 :rule cong :premises (@p3431) :args (@t3640)) % 1.31/1.52 (step @p3483 :rule nary_cong :premises (@p3448 @p3482 @p3441) :args (@t3641)) % 1.31/1.52 (step @p3484 :rule cong :premises (@p3483) :args ((forall @t70 @t3641))) % 1.31/1.52 (step @p3485 :rule aci_norm :args ((= (or @t3628 (or @t3640 @t993)) @t3641))) % 1.31/1.52 (step @p3486 :rule bool-impl-elim :args (@t937 @t993)) % 1.31/1.52 (step @p3487 :rule nary_cong :premises (@p3453 @p3486) :args ((or @t3628 @t994))) % 1.31/1.52 (step @p3488 :rule trans :premises (@p3487 @p3485)) % 1.31/1.52 (step @p3489 :rule bool-impl-elim :args (@t354 @t994)) % 1.31/1.52 (step @p3490 :rule trans :premises (@p3489 @p3488)) % 1.31/1.52 (step @p3491 :rule cong :premises (@p3490) :args (@t995)) % 1.31/1.52 (step @p3492 :rule trans :premises (@p3491 @p3484)) % 1.31/1.52 (step @p3493 :rule cong :premises (@p2271 @p3492) :args (@t996)) % 1.31/1.52 (step @p3494 :rule cong :premises (@p3493) :args (@t997)) % 1.31/1.52 (step @p3495 :rule trans :premises (@p3494 @p3481)) % 1.31/1.52 (step @p3496 :rule cong :premises (@p3495 @p3463) :args (@t1012)) % 1.31/1.52 (step @p3497 :rule beta-reduce :args ((= (_ @t3642 @t990) @t3608))) % 1.31/1.52 (step @p3498 :rule refl :args (@t990)) % 1.31/1.52 (step @p3499 :rule beta-reduce :args ((= (_ @t3643 @t1) @t3642))) % 1.31/1.52 (step @p3500 :rule beta-reduce :args ((= @t3644 @t3643))) % 1.31/1.52 (step @p3501 :rule ho_cong :premises (@p3500 @p3061)) % 1.31/1.52 (step @p3502 :rule trans :premises (@p3501 @p3499)) % 1.31/1.52 (step @p3503 :rule ho_cong :premises (@p3502 @p3498)) % 1.31/1.52 (step @p3504 :rule trans :premises (@p3503 @p3497)) % 1.31/1.52 (step @p3505 :rule cong :premises (@p3504 @p3496) :args (@t3647)) % 1.31/1.52 (step @p3506 :rule cong :premises (@p3505) :args (@t3648)) % 1.31/1.52 (step @p3507 :rule trans :premises (@p3506 @p3395)) % 1.31/1.52 (step @p3508 :rule beta-reduce :args ((= (_ @t3642 @t933) @t3604))) % 1.31/1.52 (step @p3509 :rule refl :args (@t933)) % 1.31/1.52 (step @p3510 :rule ho_cong :premises (@p3502 @p3509)) % 1.31/1.52 (step @p3511 :rule trans :premises (@p3510 @p3508)) % 1.31/1.52 (step @p3512 :rule cong :premises (@p3511 @p3507) :args (@t3650)) % 1.31/1.52 (step @p3513 :rule cong :premises (@p3512) :args (@t3651)) % 1.31/1.52 (step @p3514 :rule trans :premises (@p3513 @p3363)) % 1.31/1.52 (step @p3515 :rule refl :args (tptp.eqbreln)) % 1.31/1.52 (step @p3516 :rule cong :premises (@p3515 @p3514) :args ((= tptp.eqbreln @t3651))) % 1.31/1.52 (step @p3517 :rule refl :args (@t1012)) % 1.31/1.52 (step @p3518 :rule ho_cong :premises (@p260 @p2535)) % 1.31/1.52 (step @p3519 :rule ho_cong :premises (@p3518 @p3061)) % 1.31/1.52 (step @p3520 :rule ho_cong :premises (@p3519 @p3498)) % 1.31/1.52 (step @p3521 :rule cong :premises (@p3520 @p3517) :args (@t1013)) % 1.31/1.52 (step @p3522 :rule cong :premises (@p3521) :args (@t1014)) % 1.31/1.52 (step @p3523 :rule ho_cong :premises (@p3519 @p3509)) % 1.31/1.52 (step @p3524 :rule cong :premises (@p3523 @p3522) :args (@t1015)) % 1.31/1.52 (step @p3525 :rule cong :premises (@p3524) :args (@t1016)) % 1.31/1.52 (step @p3526 :rule cong :premises (@p3515 @p3525) :args (@t1017)) % 1.31/1.52 (step @p3527 :rule trans :premises (@p3526 @p3516)) % 1.31/1.52 (step @p3528 :rule eq_resolve :premises (@p207 @p3527)) % 1.31/1.52 (step @p3529 :rule cong :premises (@p3528 @p3326) :args (@t3652)) % 1.31/1.52 (step @p3530 :rule aci_norm :args ((= @t3654 @t1880))) % 1.31/1.52 (step @p3531 :rule cong :premises (@p3530) :args (@t3655)) % 1.31/1.52 (step @p3532 :rule quant-merge-prenex :args ((= (forall @t946 @t3657) @t3655))) % 1.31/1.52 (step @p3533 :rule alpha_equiv :args (@t3658 (@list @t1876) @t3591)) % 1.31/1.52 (step @p3534 :rule nary_cong :premises (@p3331 @p3533) :args (@t3659)) % 1.31/1.52 (step @p3535 :rule quant-miniscope-or :args ((= @t3657 @t3659))) % 1.31/1.52 (step @p3536 :rule trans :premises (@p3535 @p3534)) % 1.31/1.52 (step @p3537 :rule symm :premises (@p3536)) % 1.31/1.52 (step @p3538 :rule cong :premises (@p3537) :args ((forall @t946 (or @t1872 @t3661)))) % 1.31/1.52 (step @p3539 :rule trans :premises (@p3538 @p3532)) % 1.31/1.52 (step @p3540 :rule trans :premises (@p3539 @p3531)) % 1.31/1.52 (step @p3541 :rule refl :args (@t3661)) % 1.31/1.52 (step @p3542 :rule nary_cong :premises (@p3357 @p3541) :args (@t3662)) % 1.31/1.52 (step @p3543 :rule cong :premises (@p3542) :args ((forall @t946 @t3662))) % 1.31/1.52 (step @p3544 :rule trans :premises (@p3543 @p3540)) % 1.31/1.52 (step @p3545 :rule bool-impl-elim :args (@t3604 @t3661)) % 1.31/1.52 (step @p3546 :rule cong :premises (@p3545) :args ((forall @t946 (=> @t3604 @t3661)))) % 1.31/1.52 (step @p3547 :rule trans :premises (@p3546 @p3544)) % 1.31/1.52 (step @p3548 :rule refl :args (@t3660)) % 1.31/1.52 (step @p3549 :rule refl :args (@t992)) % 1.31/1.52 (step @p3550 :rule cong :premises (@p3549 @p3548) :args ((= @t992 @t3660))) % 1.31/1.52 (step @p3551 :rule symm :premises (@p3550)) % 1.31/1.52 (step @p3552 :rule eq_resolve :premises (@p3549 @p3551)) % 1.31/1.52 (step @p3553 :rule nary_cong :premises (@p3379 @p3366 @p3552) :args (@t3663)) % 1.31/1.52 (step @p3554 :rule cong :premises (@p3553) :args ((forall @t1001 @t3663))) % 1.31/1.52 (step @p3555 :rule aci_norm :args ((= (or @t3609 (or @t3600 @t992)) @t3663))) % 1.31/1.52 (step @p3556 :rule bool-impl-elim :args (@t3599 @t992)) % 1.31/1.52 (step @p3557 :rule nary_cong :premises (@p3389 @p3556) :args ((or @t3609 @t3664))) % 1.31/1.52 (step @p3558 :rule trans :premises (@p3557 @p3555)) % 1.31/1.52 (step @p3559 :rule bool-impl-elim :args (@t3608 @t3664)) % 1.31/1.52 (step @p3560 :rule trans :premises (@p3559 @p3558)) % 1.31/1.52 (step @p3561 :rule cong :premises (@p3560) :args ((forall @t1001 (=> @t3608 @t3664)))) % 1.31/1.52 (step @p3562 :rule trans :premises (@p3561 @p3554)) % 1.31/1.52 (step @p3563 :rule refl :args (@t992)) % 1.31/1.52 (step @p3564 :rule cong :premises (@p3495 @p3563) :args (@t998)) % 1.31/1.52 (step @p3565 :rule cong :premises (@p3504 @p3564) :args (@t3665)) % 1.31/1.52 (step @p3566 :rule cong :premises (@p3565) :args (@t3666)) % 1.31/1.52 (step @p3567 :rule trans :premises (@p3566 @p3562)) % 1.31/1.52 (step @p3568 :rule cong :premises (@p3511 @p3567) :args (@t3667)) % 1.31/1.52 (step @p3569 :rule cong :premises (@p3568) :args (@t3668)) % 1.31/1.52 (step @p3570 :rule trans :premises (@p3569 @p3547)) % 1.31/1.52 (step @p3571 :rule refl :args (tptp.subbreln)) % 1.31/1.52 (step @p3572 :rule cong :premises (@p3571 @p3570) :args ((= tptp.subbreln @t3668))) % 1.31/1.52 (step @p3573 :rule refl :args (@t998)) % 1.31/1.52 (step @p3574 :rule cong :premises (@p3520 @p3573) :args (@t1000)) % 1.31/1.52 (step @p3575 :rule cong :premises (@p3574) :args (@t1002)) % 1.31/1.52 (step @p3576 :rule cong :premises (@p3523 @p3575) :args (@t1003)) % 1.31/1.52 (step @p3577 :rule cong :premises (@p3576) :args (@t1004)) % 1.31/1.52 (step @p3578 :rule cong :premises (@p3571 @p3577) :args (@t1005)) % 1.31/1.52 (step @p3579 :rule trans :premises (@p3578 @p3572)) % 1.31/1.52 (step @p3580 :rule eq_resolve :premises (@p206 @p3579)) % 1.31/1.52 (step @p3581 :rule cong :premises (@p3580 @p3529) :args (@t3669)) % 1.31/1.52 (step @p3582 :rule eq-symm :args (@t1884 @t1885)) % 1.31/1.52 (step @p3583 :rule refl :args (@t1886)) % 1.31/1.52 (step @p3584 :rule refl :args (@t1887)) % 1.31/1.52 (step @p3585 :rule refl :args (@t1888)) % 1.31/1.52 (step @p3586 :rule refl :args (@t1825)) % 1.31/1.52 (step @p3587 :rule nary_cong :premises (@p3586 @p3585 @p3584 @p3583 @p3582) :args (@t3671)) % 1.31/1.52 (step @p3588 :rule aci_norm :args ((= @t3673 @t3671))) % 1.31/1.52 (step @p3589 :rule trans :premises (@p3588 @p3587)) % 1.31/1.52 (step @p3590 :rule cong :premises (@p3589) :args (@t3674)) % 1.31/1.52 (step @p3591 :rule quant-merge-prenex :args ((= (forall @t887 @t3676) @t3674))) % 1.31/1.52 (step @p3592 :rule alpha_equiv :args (@t3677 (@list @t1883 @t1885) @t3679)) % 1.31/1.52 (step @p3593 :rule nary_cong :premises (@p3216 @p3592) :args (@t3680)) % 1.31/1.52 (step @p3594 :rule quant-miniscope-or :args ((= @t3676 @t3680))) % 1.31/1.52 (step @p3595 :rule trans :premises (@p3594 @p3593)) % 1.31/1.52 (step @p3596 :rule symm :premises (@p3595)) % 1.31/1.52 (step @p3597 :rule cong :premises (@p3596) :args ((forall @t887 (or @t1825 @t3684)))) % 1.31/1.52 (step @p3598 :rule trans :premises (@p3597 @p3591)) % 1.31/1.52 (step @p3599 :rule trans :premises (@p3598 @p3590)) % 1.31/1.52 (step @p3600 :rule refl :args (@t3684)) % 1.31/1.52 (step @p3601 :rule nary_cong :premises (@p3028 @p3600) :args (@t3685)) % 1.31/1.52 (step @p3602 :rule cong :premises (@p3601) :args ((forall @t887 @t3685))) % 1.31/1.52 (step @p3603 :rule trans :premises (@p3602 @p3599)) % 1.31/1.52 (step @p3604 :rule bool-impl-elim :args (@t905 @t3684)) % 1.31/1.52 (step @p3605 :rule cong :premises (@p3604) :args ((forall @t887 (=> @t905 @t3684)))) % 1.31/1.52 (step @p3606 :rule trans :premises (@p3605 @p3603)) % 1.31/1.52 (step @p3607 :rule eq-symm :args (@t3678 @t1819)) % 1.31/1.52 (step @p3608 :rule refl :args (@t3681)) % 1.31/1.52 (step @p3609 :rule refl :args (@t3682)) % 1.31/1.52 (step @p3610 :rule nary_cong :premises (@p2364 @p3609 @p3608 @p3607) :args (@t3687)) % 1.31/1.52 (step @p3611 :rule aci_norm :args ((= @t3689 @t3687))) % 1.31/1.52 (step @p3612 :rule trans :premises (@p3611 @p3610)) % 1.31/1.52 (step @p3613 :rule cong :premises (@p3612) :args (@t3690)) % 1.31/1.52 (step @p3614 :rule quant-merge-prenex :args ((= (forall @t9 @t3692) @t3690))) % 1.31/1.52 (step @p3615 :rule alpha_equiv :args (@t3693 (@list @t3678) @t3250)) % 1.31/1.52 (step @p3616 :rule nary_cong :premises (@p2212 @p3615) :args (@t3694)) % 1.31/1.52 (step @p3617 :rule quant-miniscope-or :args ((= @t3692 @t3694))) % 1.31/1.52 (step @p3618 :rule trans :premises (@p3617 @p3616)) % 1.31/1.52 (step @p3619 :rule symm :premises (@p3618)) % 1.31/1.52 (step @p3620 :rule cong :premises (@p3619) :args ((forall @t9 (or @t1730 @t3696)))) % 1.31/1.52 (step @p3621 :rule trans :premises (@p3620 @p3614)) % 1.31/1.52 (step @p3622 :rule trans :premises (@p3621 @p3613)) % 1.31/1.52 (step @p3623 :rule refl :args (@t3696)) % 1.31/1.52 (step @p3624 :rule nary_cong :premises (@p936 @p3623) :args (@t3697)) % 1.31/1.52 (step @p3625 :rule cong :premises (@p3624) :args ((forall @t9 @t3697))) % 1.31/1.52 (step @p3626 :rule trans :premises (@p3625 @p3622)) % 1.31/1.52 (step @p3627 :rule bool-impl-elim :args (@t7 @t3696)) % 1.31/1.52 (step @p3628 :rule cong :premises (@p3627) :args ((forall @t9 (=> @t7 @t3696)))) % 1.31/1.52 (step @p3629 :rule trans :premises (@p3628 @p3626)) % 1.31/1.52 (step @p3630 :rule cong :premises (@p2323 @p3006) :args (@t3698)) % 1.31/1.52 (step @p3631 :rule refl :args ((tptp.in @t633 @t878))) % 1.31/1.52 (step @p3632 :rule cong :premises (@p3416 @p3010) :args (@t3695)) % 1.31/1.52 (step @p3633 :rule trans :premises (@p3632 @p3631)) % 1.31/1.52 (step @p3634 :rule ho_cong :premises (@p3419 @p3010)) % 1.31/1.52 (step @p3635 :rule cong :premises (@p3634 @p3633) :args ((= (_ @t3626 @t878) @t3695))) % 1.31/1.52 (step @p3636 :rule symm :premises (@p3635)) % 1.31/1.52 (step @p3637 :rule refl :args (@t879)) % 1.31/1.52 (step @p3638 :rule eq_resolve :premises (@p3637 @p3636)) % 1.31/1.52 (step @p3639 :rule ho_cong :premises (@p3429 @p3010)) % 1.31/1.52 (step @p3640 :rule trans :premises (@p3639 @p3638)) % 1.31/1.52 (step @p3641 :rule cong :premises (@p3640) :args (@t3699)) % 1.31/1.52 (step @p3642 :rule nary_cong :premises (@p3448 @p3641 @p3630) :args (@t3700)) % 1.31/1.52 (step @p3643 :rule cong :premises (@p3642) :args ((forall @t70 @t3700))) % 1.31/1.52 (step @p3644 :rule aci_norm :args ((= (or @t3628 (or @t3699 @t3698)) @t3700))) % 1.31/1.52 (step @p3645 :rule bool-impl-elim :args (@t879 @t3698)) % 1.31/1.52 (step @p3646 :rule nary_cong :premises (@p3453 @p3645) :args ((or @t3628 @t3701))) % 1.31/1.52 (step @p3647 :rule trans :premises (@p3646 @p3644)) % 1.31/1.52 (step @p3648 :rule bool-impl-elim :args (@t354 @t3701)) % 1.31/1.52 (step @p3649 :rule trans :premises (@p3648 @p3647)) % 1.31/1.52 (step @p3650 :rule cong :premises (@p3649) :args ((forall @t70 (=> @t354 @t3701)))) % 1.31/1.52 (step @p3651 :rule trans :premises (@p3650 @p3643)) % 1.31/1.52 (step @p3652 :rule eq-symm :args (@t897 @t19)) % 1.31/1.52 (step @p3653 :rule refl :args (@t879)) % 1.31/1.52 (step @p3654 :rule cong :premises (@p3653 @p3652) :args (@t962)) % 1.31/1.52 (step @p3655 :rule refl :args (@t354)) % 1.31/1.52 (step @p3656 :rule cong :premises (@p3655 @p3654) :args (@t963)) % 1.31/1.52 (step @p3657 :rule cong :premises (@p3656) :args (@t964)) % 1.31/1.52 (step @p3658 :rule trans :premises (@p3657 @p3651)) % 1.31/1.52 (step @p3659 :rule cong :premises (@p2271 @p3658) :args (@t965)) % 1.31/1.52 (step @p3660 :rule cong :premises (@p3659) :args (@t966)) % 1.31/1.52 (step @p3661 :rule trans :premises (@p3660 @p3629)) % 1.31/1.52 (step @p3662 :rule cong :premises (@p3035 @p3661) :args (@t987)) % 1.31/1.52 (step @p3663 :rule cong :premises (@p3662) :args (@t988)) % 1.31/1.52 (step @p3664 :rule trans :premises (@p3663 @p3606)) % 1.31/1.52 (step @p3665 :rule refl :args (tptp.funcGraphProp4)) % 1.31/1.52 (step @p3666 :rule cong :premises (@p3665 @p3664) :args (@t989)) % 1.31/1.52 (step @p3667 :rule eq_resolve :premises (@p205 @p3666)) % 1.31/1.52 (step @p3668 :rule cong :premises (@p3667 @p3581) :args (@t3702)) % 1.31/1.52 (step @p3669 :rule aci_norm :args ((= @t3704 @t1901))) % 1.31/1.52 (step @p3670 :rule cong :premises (@p3669) :args (@t3705)) % 1.31/1.52 (step @p3671 :rule quant-merge-prenex :args ((= (forall @t887 @t3707) @t3705))) % 1.31/1.52 (step @p3672 :rule alpha_equiv :args (@t3708 (@list @t1895 @t1892 @t1891) (@list @t970 @t3710 @t3709))) % 1.31/1.52 (step @p3673 :rule nary_cong :premises (@p3285 @p3672) :args (@t3711)) % 1.31/1.52 (step @p3674 :rule quant-miniscope-or :args ((= @t3707 @t3711))) % 1.31/1.52 (step @p3675 :rule trans :premises (@p3674 @p3673)) % 1.31/1.52 (step @p3676 :rule symm :premises (@p3675)) % 1.31/1.52 (step @p3677 :rule cong :premises (@p3676) :args ((forall @t887 (or @t1839 @t3719)))) % 1.31/1.52 (step @p3678 :rule trans :premises (@p3677 @p3671)) % 1.31/1.52 (step @p3679 :rule trans :premises (@p3678 @p3670)) % 1.31/1.52 (step @p3680 :rule refl :args (@t3719)) % 1.31/1.52 (step @p3681 :rule nary_cong :premises (@p3160 @p3680) :args (@t3720)) % 1.31/1.52 (step @p3682 :rule cong :premises (@p3681) :args ((forall @t887 @t3720))) % 1.31/1.52 (step @p3683 :rule trans :premises (@p3682 @p3679)) % 1.31/1.52 (step @p3684 :rule bool-impl-elim :args (@t885 @t3719)) % 1.31/1.52 (step @p3685 :rule cong :premises (@p3684) :args ((forall @t887 (=> @t885 @t3719)))) % 1.31/1.52 (step @p3686 :rule trans :premises (@p3685 @p3683)) % 1.31/1.52 (step @p3687 :rule aci_norm :args ((= @t3722 @t3717))) % 1.31/1.52 (step @p3688 :rule cong :premises (@p3687) :args (@t3723)) % 1.31/1.52 (step @p3689 :rule quant-merge-prenex :args ((= (forall @t982 @t3725) @t3723))) % 1.31/1.52 (step @p3690 :rule alpha_equiv :args (@t3726 (@list @t3710 @t3709) (@list @t4 @t3727))) % 1.31/1.52 (step @p3691 :rule refl :args (@t3579)) % 1.31/1.52 (step @p3692 :rule nary_cong :premises (@p3691 @p3232 @p3690) :args (@t3728)) % 1.31/1.52 (step @p3693 :rule quant-miniscope-or :args ((= @t3725 @t3728))) % 1.31/1.52 (step @p3694 :rule trans :premises (@p3693 @p3692)) % 1.31/1.52 (step @p3695 :rule symm :premises (@p3694)) % 1.31/1.52 (step @p3696 :rule cong :premises (@p3695) :args ((forall @t982 (or @t3579 @t3561 @t3735)))) % 1.31/1.52 (step @p3697 :rule trans :premises (@p3696 @p3689)) % 1.31/1.52 (step @p3698 :rule trans :premises (@p3697 @p3688)) % 1.31/1.52 (step @p3699 :rule refl :args (@t3735)) % 1.31/1.52 (step @p3700 :rule nary_cong :premises (@p3305 @p3232 @p3699) :args (@t3736)) % 1.31/1.52 (step @p3701 :rule cong :premises (@p3700) :args ((forall @t982 @t3736))) % 1.31/1.52 (step @p3702 :rule trans :premises (@p3701 @p3698)) % 1.31/1.52 (step @p3703 :rule aci_norm :args ((= (or @t3582 (or @t3561 @t3735)) @t3736))) % 1.31/1.52 (step @p3704 :rule bool-impl-elim :args (@t3560 @t3735)) % 1.31/1.52 (step @p3705 :rule nary_cong :premises (@p3309 @p3704) :args ((or @t3582 @t3737))) % 1.31/1.52 (step @p3706 :rule trans :premises (@p3705 @p3703)) % 1.31/1.52 (step @p3707 :rule bool-impl-elim :args (@t980 @t3737)) % 1.31/1.52 (step @p3708 :rule trans :premises (@p3707 @p3706)) % 1.31/1.52 (step @p3709 :rule cong :premises (@p3708) :args ((forall @t982 (=> @t980 @t3737)))) % 1.31/1.52 (step @p3710 :rule trans :premises (@p3709 @p3702)) % 1.31/1.52 (step @p3711 :rule aci_norm :args ((= @t3739 @t3733))) % 1.31/1.52 (step @p3712 :rule cong :premises (@p3711) :args (@t3740)) % 1.31/1.52 (step @p3713 :rule quant-merge-prenex :args ((= (forall @t9 @t3742) @t3740))) % 1.31/1.52 (step @p3714 :rule alpha_equiv :args (@t3743 (@list @t3727) @t3250)) % 1.31/1.52 (step @p3715 :rule nary_cong :premises (@p2212 @p3714) :args (@t3744)) % 1.31/1.52 (step @p3716 :rule quant-miniscope-or :args ((= @t3742 @t3744))) % 1.31/1.52 (step @p3717 :rule trans :premises (@p3716 @p3715)) % 1.31/1.52 (step @p3718 :rule symm :premises (@p3717)) % 1.31/1.52 (step @p3719 :rule cong :premises (@p3718) :args ((forall @t9 (or @t1730 @t3746)))) % 1.31/1.52 (step @p3720 :rule trans :premises (@p3719 @p3713)) % 1.31/1.52 (step @p3721 :rule trans :premises (@p3720 @p3712)) % 1.31/1.52 (step @p3722 :rule refl :args (@t3746)) % 1.31/1.52 (step @p3723 :rule nary_cong :premises (@p936 @p3722) :args (@t3747)) % 1.31/1.52 (step @p3724 :rule cong :premises (@p3723) :args ((forall @t9 @t3747))) % 1.31/1.52 (step @p3725 :rule trans :premises (@p3724 @p3721)) % 1.31/1.52 (step @p3726 :rule bool-impl-elim :args (@t7 @t3746)) % 1.31/1.52 (step @p3727 :rule cong :premises (@p3726) :args ((forall @t9 (=> @t7 @t3746)))) % 1.31/1.52 (step @p3728 :rule trans :premises (@p3727 @p3725)) % 1.31/1.52 (step @p3729 :rule refl :args ((tptp.in @t633 @t970))) % 1.31/1.52 (step @p3730 :rule cong :premises (@p3416 @p3234) :args (@t3745)) % 1.31/1.52 (step @p3731 :rule trans :premises (@p3730 @p3729)) % 1.31/1.52 (step @p3732 :rule ho_cong :premises (@p3419 @p3234)) % 1.31/1.52 (step @p3733 :rule cong :premises (@p3732 @p3731) :args ((= (_ @t3626 @t970) @t3745))) % 1.31/1.52 (step @p3734 :rule symm :premises (@p3733)) % 1.31/1.52 (step @p3735 :rule refl :args (@t971)) % 1.31/1.52 (step @p3736 :rule eq_resolve :premises (@p3735 @p3734)) % 1.31/1.52 (step @p3737 :rule ho_cong :premises (@p3429 @p3234)) % 1.31/1.52 (step @p3738 :rule trans :premises (@p3737 @p3736)) % 1.31/1.52 (step @p3739 :rule cong :premises (@p3738) :args (@t3748)) % 1.31/1.52 (step @p3740 :rule nary_cong :premises (@p3448 @p3739 @p3640) :args (@t3749)) % 1.31/1.52 (step @p3741 :rule cong :premises (@p3740) :args ((forall @t70 @t3749))) % 1.31/1.53 (step @p3742 :rule aci_norm :args ((= (or @t3628 (or @t3748 @t879)) @t3749))) % 1.31/1.53 (step @p3743 :rule bool-impl-elim :args (@t971 @t879)) % 1.31/1.53 (step @p3744 :rule nary_cong :premises (@p3453 @p3743) :args ((or @t3628 @t972))) % 1.31/1.53 (step @p3745 :rule trans :premises (@p3744 @p3742)) % 1.31/1.53 (step @p3746 :rule bool-impl-elim :args (@t354 @t972)) % 1.31/1.53 (step @p3747 :rule trans :premises (@p3746 @p3745)) % 1.31/1.53 (step @p3748 :rule cong :premises (@p3747) :args (@t973)) % 1.31/1.53 (step @p3749 :rule trans :premises (@p3748 @p3741)) % 1.31/1.53 (step @p3750 :rule cong :premises (@p2271 @p3749) :args (@t974)) % 1.31/1.53 (step @p3751 :rule cong :premises (@p3750) :args (@t975)) % 1.31/1.53 (step @p3752 :rule trans :premises (@p3751 @p3728)) % 1.31/1.53 (step @p3753 :rule cong :premises (@p3268 @p3752) :args (@t979)) % 1.31/1.53 (step @p3754 :rule cong :premises (@p3316 @p3753) :args (@t981)) % 1.31/1.53 (step @p3755 :rule cong :premises (@p3754) :args (@t983)) % 1.31/1.53 (step @p3756 :rule trans :premises (@p3755 @p3710)) % 1.31/1.53 (step @p3757 :rule cong :premises (@p3166 @p3756) :args (@t984)) % 1.31/1.53 (step @p3758 :rule cong :premises (@p3757) :args (@t985)) % 1.31/1.53 (step @p3759 :rule trans :premises (@p3758 @p3686)) % 1.31/1.53 (step @p3760 :rule refl :args (tptp.funcextLem)) % 1.31/1.53 (step @p3761 :rule cong :premises (@p3760 @p3759) :args (@t986)) % 1.31/1.53 (step @p3762 :rule eq_resolve :premises (@p204 @p3761)) % 1.31/1.53 (step @p3763 :rule cong :premises (@p3762 @p3668) :args (@t3750)) % 1.31/1.53 (step @p3764 :rule eq-symm :args (@t1905 @t1906)) % 1.31/1.53 (step @p3765 :rule refl :args (@t1907)) % 1.31/1.53 (step @p3766 :rule refl :args (@t1908)) % 1.31/1.53 (step @p3767 :rule refl :args (@t1909)) % 1.31/1.53 (step @p3768 :rule refl :args (@t1839)) % 1.31/1.53 (step @p3769 :rule nary_cong :premises (@p3768 @p3767 @p3766 @p3765 @p3764) :args (@t3752)) % 1.31/1.53 (step @p3770 :rule aci_norm :args ((= @t3754 @t3752))) % 1.31/1.53 (step @p3771 :rule trans :premises (@p3770 @p3769)) % 1.31/1.53 (step @p3772 :rule cong :premises (@p3771) :args (@t3755)) % 1.31/1.53 (step @p3773 :rule quant-merge-prenex :args ((= (forall @t887 @t3757) @t3755))) % 1.31/1.53 (step @p3774 :rule alpha_equiv :args (@t3758 (@list @t1904 @t1906) @t3679)) % 1.31/1.53 (step @p3775 :rule nary_cong :premises (@p3285 @p3774) :args (@t3759)) % 1.31/1.53 (step @p3776 :rule quant-miniscope-or :args ((= @t3757 @t3759))) % 1.31/1.53 (step @p3777 :rule trans :premises (@p3776 @p3775)) % 1.31/1.53 (step @p3778 :rule symm :premises (@p3777)) % 1.31/1.53 (step @p3779 :rule cong :premises (@p3778) :args ((forall @t887 (or @t1839 @t3684)))) % 1.31/1.53 (step @p3780 :rule trans :premises (@p3779 @p3773)) % 1.31/1.53 (step @p3781 :rule trans :premises (@p3780 @p3772)) % 1.31/1.53 (step @p3782 :rule nary_cong :premises (@p3160 @p3600) :args (@t3760)) % 1.31/1.53 (step @p3783 :rule cong :premises (@p3782) :args ((forall @t887 @t3760))) % 1.31/1.53 (step @p3784 :rule trans :premises (@p3783 @p3781)) % 1.31/1.53 (step @p3785 :rule bool-impl-elim :args (@t885 @t3684)) % 1.31/1.53 (step @p3786 :rule cong :premises (@p3785) :args ((forall @t887 (=> @t885 @t3684)))) % 1.31/1.53 (step @p3787 :rule trans :premises (@p3786 @p3784)) % 1.31/1.53 (step @p3788 :rule cong :premises (@p3166 @p3661) :args (@t967)) % 1.31/1.53 (step @p3789 :rule cong :premises (@p3788) :args (@t968)) % 1.31/1.53 (step @p3790 :rule trans :premises (@p3789 @p3787)) % 1.31/1.53 (step @p3791 :rule refl :args (tptp.funcGraphProp2)) % 1.31/1.53 (step @p3792 :rule cong :premises (@p3791 @p3790) :args (@t969)) % 1.31/1.53 (step @p3793 :rule eq_resolve :premises (@p203 @p3792)) % 1.31/1.53 (step @p3794 :rule cong :premises (@p3793 @p3763) :args (@t3761)) % 1.31/1.53 (step @p3795 :rule aci_norm :args ((= @t3763 @t1915))) % 1.31/1.53 (step @p3796 :rule cong :premises (@p3795) :args (@t3764)) % 1.31/1.53 (step @p3797 :rule quant-merge-prenex :args ((= (forall @t887 @t3766) @t3764))) % 1.31/1.53 (step @p3798 :rule alpha_equiv :args (@t3767 (@list @t1912) @t2833)) % 1.31/1.53 (step @p3799 :rule nary_cong :premises (@p3216 @p3798) :args (@t3768)) % 1.31/1.53 (step @p3800 :rule quant-miniscope-or :args ((= @t3766 @t3768))) % 1.31/1.53 (step @p3801 :rule trans :premises (@p3800 @p3799)) % 1.31/1.53 (step @p3802 :rule symm :premises (@p3801)) % 1.31/1.53 (step @p3803 :rule cong :premises (@p3802) :args ((forall @t887 (or @t1825 @t3771)))) % 1.31/1.53 (step @p3804 :rule trans :premises (@p3803 @p3797)) % 1.31/1.53 (step @p3805 :rule trans :premises (@p3804 @p3796)) % 1.31/1.53 (step @p3806 :rule refl :args (@t3771)) % 1.31/1.53 (step @p3807 :rule nary_cong :premises (@p3028 @p3806) :args (@t3772)) % 1.31/1.53 (step @p3808 :rule cong :premises (@p3807) :args ((forall @t887 @t3772))) % 1.31/1.53 (step @p3809 :rule trans :premises (@p3808 @p3805)) % 1.31/1.53 (step @p3810 :rule bool-impl-elim :args (@t905 @t3771)) % 1.31/1.53 (step @p3811 :rule cong :premises (@p3810) :args ((forall @t887 (=> @t905 @t3771)))) % 1.31/1.53 (step @p3812 :rule trans :premises (@p3811 @p3809)) % 1.31/1.53 (step @p3813 :rule refl :args ((tptp.in @t953 @t878))) % 1.31/1.53 (step @p3814 :rule refl :args ((tptp.kpair @t4 @t897))) % 1.31/1.53 (step @p3815 :rule cong :premises (@p914 @p2992) :args (@t3769)) % 1.31/1.53 (step @p3816 :rule trans :premises (@p3815 @p3814)) % 1.31/1.53 (step @p3817 :rule cong :premises (@p3816 @p3010) :args (@t3770)) % 1.31/1.53 (step @p3818 :rule trans :premises (@p3817 @p3813)) % 1.31/1.53 (step @p3819 :rule ho_cong :premises (@p990 @p3816)) % 1.31/1.53 (step @p3820 :rule ho_cong :premises (@p3819 @p3010)) % 1.31/1.53 (step @p3821 :rule cong :premises (@p3820 @p3818) :args ((= (_ (_ tptp.in @t3769) @t878) @t3770))) % 1.31/1.53 (step @p3822 :rule symm :premises (@p3821)) % 1.31/1.53 (step @p3823 :rule refl :args (@t954)) % 1.31/1.53 (step @p3824 :rule eq_resolve :premises (@p3823 @p3822)) % 1.31/1.53 (step @p3825 :rule refl :args (@t632)) % 1.31/1.53 (step @p3826 :rule ho_cong :premises (@p3825 @p2992)) % 1.31/1.53 (step @p3827 :rule cong :premises (@p3826 @p3816) :args ((= (_ @t632 @t1819) @t3769))) % 1.31/1.53 (step @p3828 :rule symm :premises (@p3827)) % 1.31/1.53 (step @p3829 :rule refl :args (@t953)) % 1.31/1.53 (step @p3830 :rule eq_resolve :premises (@p3829 @p3828)) % 1.31/1.53 (step @p3831 :rule ho_cong :premises (@p3825 @p3006)) % 1.31/1.53 (step @p3832 :rule trans :premises (@p3831 @p3830)) % 1.31/1.53 (step @p3833 :rule ho_cong :premises (@p990 @p3832)) % 1.31/1.53 (step @p3834 :rule ho_cong :premises (@p3833 @p3010)) % 1.31/1.53 (step @p3835 :rule trans :premises (@p3834 @p3824)) % 1.31/1.53 (step @p3836 :rule nary_cong :premises (@p936 @p3835) :args (@t3773)) % 1.31/1.53 (step @p3837 :rule cong :premises (@p3836) :args ((forall @t9 @t3773))) % 1.31/1.53 (step @p3838 :rule bool-impl-elim :args (@t7 @t954)) % 1.31/1.53 (step @p3839 :rule cong :premises (@p3838) :args (@t955)) % 1.31/1.53 (step @p3840 :rule trans :premises (@p3839 @p3837)) % 1.31/1.53 (step @p3841 :rule cong :premises (@p3035 @p3840) :args (@t959)) % 1.31/1.53 (step @p3842 :rule cong :premises (@p3841) :args (@t960)) % 1.31/1.53 (step @p3843 :rule trans :premises (@p3842 @p3812)) % 1.31/1.53 (step @p3844 :rule refl :args (tptp.funcGraphProp3)) % 1.31/1.53 (step @p3845 :rule cong :premises (@p3844 @p3843) :args (@t961)) % 1.31/1.53 (step @p3846 :rule eq_resolve :premises (@p202 @p3845)) % 1.31/1.53 (step @p3847 :rule cong :premises (@p3846 @p3794) :args (@t3774)) % 1.31/1.53 (step @p3848 :rule aci_norm :args ((= @t3776 @t1921))) % 1.31/1.53 (step @p3849 :rule cong :premises (@p3848) :args (@t3777)) % 1.31/1.53 (step @p3850 :rule quant-merge-prenex :args ((= (forall @t887 @t3779) @t3777))) % 1.31/1.53 (step @p3851 :rule alpha_equiv :args (@t3780 (@list @t1918) @t2833)) % 1.31/1.53 (step @p3852 :rule nary_cong :premises (@p3285 @p3851) :args (@t3781)) % 1.31/1.53 (step @p3853 :rule quant-miniscope-or :args ((= @t3779 @t3781))) % 1.31/1.53 (step @p3854 :rule trans :premises (@p3853 @p3852)) % 1.31/1.53 (step @p3855 :rule symm :premises (@p3854)) % 1.31/1.53 (step @p3856 :rule cong :premises (@p3855) :args ((forall @t887 (or @t1839 @t3771)))) % 1.31/1.53 (step @p3857 :rule trans :premises (@p3856 @p3850)) % 1.31/1.53 (step @p3858 :rule trans :premises (@p3857 @p3849)) % 1.31/1.53 (step @p3859 :rule nary_cong :premises (@p3160 @p3806) :args (@t3782)) % 1.31/1.53 (step @p3860 :rule cong :premises (@p3859) :args ((forall @t887 @t3782))) % 1.31/1.53 (step @p3861 :rule trans :premises (@p3860 @p3858)) % 1.31/1.53 (step @p3862 :rule bool-impl-elim :args (@t885 @t3771)) % 1.31/1.53 (step @p3863 :rule cong :premises (@p3862) :args ((forall @t887 (=> @t885 @t3771)))) % 1.31/1.53 (step @p3864 :rule trans :premises (@p3863 @p3861)) % 1.31/1.53 (step @p3865 :rule cong :premises (@p3166 @p3840) :args (@t956)) % 1.31/1.53 (step @p3866 :rule cong :premises (@p3865) :args (@t957)) % 1.31/1.53 (step @p3867 :rule trans :premises (@p3866 @p3864)) % 1.31/1.53 (step @p3868 :rule refl :args (tptp.funcGraphProp1)) % 1.31/1.53 (step @p3869 :rule cong :premises (@p3868 @p3867) :args (@t958)) % 1.31/1.53 (step @p3870 :rule eq_resolve :premises (@p201 @p3869)) % 1.31/1.53 (step @p3871 :rule cong :premises (@p3870 @p3847) :args (@t3783)) % 1.31/1.53 (step @p3872 :rule aci_norm :args ((= @t3785 @t1934))) % 1.31/1.53 (step @p3873 :rule cong :premises (@p3872) :args (@t3786)) % 1.31/1.53 (step @p3874 :rule quant-merge-prenex :args ((= (forall @t311 @t3788) @t3786))) % 1.31/1.53 (step @p3875 :rule alpha_equiv :args (@t3789 (@list @t1925 @t1924) (@list @t4 @t2089))) % 1.31/1.53 (step @p3876 :rule refl :args (@t1933)) % 1.31/1.53 (step @p3877 :rule nary_cong :premises (@p3876 @p3875) :args (@t3790)) % 1.31/1.53 (step @p3878 :rule quant-miniscope-or :args ((= @t3788 @t3790))) % 1.31/1.53 (step @p3879 :rule trans :premises (@p3878 @p3877)) % 1.31/1.53 (step @p3880 :rule symm :premises (@p3879)) % 1.31/1.53 (step @p3881 :rule cong :premises (@p3880) :args ((forall @t311 (or @t1933 @t2097)))) % 1.31/1.53 (step @p3882 :rule trans :premises (@p3881 @p3874)) % 1.31/1.53 (step @p3883 :rule trans :premises (@p3882 @p3873)) % 1.31/1.53 (step @p3884 :rule refl :args (@t2097)) % 1.31/1.53 (step @p3885 :rule lambda-elim :args ((= @t3791 @t143))) % 1.31/1.53 (step @p3886 :rule cong :premises (@p2535 @p3885) :args (@t3792)) % 1.31/1.53 (step @p3887 :rule cong :premises (@p3886) :args (@t3793)) % 1.31/1.53 (step @p3888 :rule cong :premises (@p3887) :args (@t3794)) % 1.31/1.53 (step @p3889 :rule nary_cong :premises (@p3888 @p3884) :args (@t3795)) % 1.31/1.53 (step @p3890 :rule cong :premises (@p3889) :args ((forall @t311 @t3795))) % 1.31/1.53 (step @p3891 :rule trans :premises (@p3890 @p3883)) % 1.31/1.53 (step @p3892 :rule refl :args (@t2097)) % 1.31/1.53 (step @p3893 :rule refl :args ((tptp.singleton @t306))) % 1.31/1.53 (step @p3894 :rule refl :args ((tptp.dsetconstr @t2 @t145))) % 1.31/1.53 (step @p3895 :rule refl :args (@t2093)) % 1.31/1.53 (step @p3896 :rule cong :premises (@p3895) :args (@t3791)) % 1.31/1.53 (step @p3897 :rule cong :premises (@p983 @p3896) :args (@t3792)) % 1.31/1.53 (step @p3898 :rule trans :premises (@p3897 @p3894)) % 1.31/1.53 (step @p3899 :rule cong :premises (@p3898) :args (@t3793)) % 1.31/1.53 (step @p3900 :rule trans :premises (@p3899 @p3893)) % 1.31/1.53 (step @p3901 :rule ho_cong :premises (@p2563 @p3898)) % 1.31/1.53 (step @p3902 :rule cong :premises (@p3901 @p3900) :args ((= (_ tptp.singleton @t3792) @t3793))) % 1.31/1.53 (step @p3903 :rule symm :premises (@p3902)) % 1.31/1.53 (step @p3904 :rule refl :args (@t716)) % 1.31/1.53 (step @p3905 :rule eq_resolve :premises (@p3904 @p3903)) % 1.31/1.53 (step @p3906 :rule refl :args (@t155)) % 1.31/1.53 (step @p3907 :rule ho_cong :premises (@p3906 @p3896)) % 1.31/1.53 (step @p3908 :rule cong :premises (@p3907 @p3898) :args ((= (_ @t155 @t3791) @t3792))) % 1.31/1.53 (step @p3909 :rule symm :premises (@p3908)) % 1.31/1.53 (step @p3910 :rule refl :args (@t306)) % 1.31/1.53 (step @p3911 :rule eq_resolve :premises (@p3910 @p3909)) % 1.31/1.53 (step @p3912 :rule refl :args (@t144)) % 1.31/1.53 (step @p3913 :rule cong :premises (@p3912 @p3895) :args ((= @t144 @t2093))) % 1.31/1.53 (step @p3914 :rule symm :premises (@p3913)) % 1.31/1.53 (step @p3915 :rule eq_resolve :premises (@p3912 @p3914)) % 1.31/1.53 (step @p3916 :rule cong :premises (@p3915) :args (@t145)) % 1.31/1.53 (step @p3917 :rule ho_cong :premises (@p3906 @p3916)) % 1.31/1.53 (step @p3918 :rule trans :premises (@p3917 @p3911)) % 1.31/1.53 (step @p3919 :rule ho_cong :premises (@p2563 @p3918)) % 1.31/1.53 (step @p3920 :rule trans :premises (@p3919 @p3905)) % 1.31/1.53 (step @p3921 :rule cong :premises (@p3920) :args (@t3796)) % 1.31/1.53 (step @p3922 :rule nary_cong :premises (@p3921 @p3892) :args (@t3797)) % 1.31/1.53 (step @p3923 :rule cong :premises (@p3922) :args ((forall @t311 @t3797))) % 1.31/1.53 (step @p3924 :rule trans :premises (@p3923 @p3891)) % 1.31/1.53 (step @p3925 :rule bool-impl-elim :args (@t716 @t2097)) % 1.31/1.53 (step @p3926 :rule cong :premises (@p3925) :args ((forall @t311 (=> @t716 @t2097)))) % 1.31/1.53 (step @p3927 :rule trans :premises (@p3926 @p3924)) % 1.31/1.53 (step @p3928 :rule aci_norm :args ((= @t3799 @t2095))) % 1.31/1.53 (step @p3929 :rule cong :premises (@p3928) :args (@t3800)) % 1.31/1.53 (step @p3930 :rule quant-merge-prenex :args ((= (forall @t9 @t3802) @t3800))) % 1.31/1.53 (step @p3931 :rule alpha_equiv :args (@t3803 (@list @t2089) @t3250)) % 1.31/1.53 (step @p3932 :rule refl :args (@t2094)) % 1.31/1.53 (step @p3933 :rule nary_cong :premises (@p2212 @p3932 @p3931) :args (@t3804)) % 1.31/1.53 (step @p3934 :rule quant-miniscope-or :args ((= @t3802 @t3804))) % 1.31/1.53 (step @p3935 :rule trans :premises (@p3934 @p3933)) % 1.31/1.53 (step @p3936 :rule symm :premises (@p3935)) % 1.31/1.53 (step @p3937 :rule cong :premises (@p3936) :args ((forall @t9 (or @t1730 @t2094 @t2106)))) % 1.31/1.53 (step @p3938 :rule trans :premises (@p3937 @p3930)) % 1.31/1.53 (step @p3939 :rule trans :premises (@p3938 @p3929)) % 1.31/1.53 (step @p3940 :rule refl :args (@t2106)) % 1.31/1.53 (step @p3941 :rule cong :premises (@p3915) :args (@t317)) % 1.31/1.53 (step @p3942 :rule nary_cong :premises (@p936 @p3941 @p3940) :args (@t3805)) % 1.31/1.53 (step @p3943 :rule cong :premises (@p3942) :args ((forall @t9 @t3805))) % 1.31/1.53 (step @p3944 :rule trans :premises (@p3943 @p3939)) % 1.31/1.53 (step @p3945 :rule aci_norm :args ((= (or @t197 @t3806) @t3805))) % 1.31/1.53 (step @p3946 :rule bool-impl-elim :args (@t7 @t3806)) % 1.31/1.53 (step @p3947 :rule trans :premises (@p3946 @p3945)) % 1.31/1.53 (step @p3948 :rule cong :premises (@p3947) :args ((forall @t9 (=> @t7 @t3806)))) % 1.31/1.53 (step @p3949 :rule trans :premises (@p3948 @p3944)) % 1.31/1.53 (step @p3950 :rule refl :args (@t129)) % 1.31/1.53 (step @p3951 :rule refl :args (@t2102)) % 1.31/1.53 (step @p3952 :rule refl :args (@t153)) % 1.31/1.53 (step @p3953 :rule cong :premises (@p3952 @p3951) :args ((= @t153 @t2102))) % 1.31/1.53 (step @p3954 :rule symm :premises (@p3953)) % 1.31/1.53 (step @p3955 :rule eq_resolve :premises (@p3952 @p3954)) % 1.31/1.53 (step @p3956 :rule cong :premises (@p3955) :args (@t3807)) % 1.31/1.53 (step @p3957 :rule nary_cong :premises (@p2265 @p3956 @p3950) :args (@t3808)) % 1.31/1.53 (step @p3958 :rule cong :premises (@p3957) :args (@t3809)) % 1.31/1.53 (step @p3959 :rule refl :args (@t317)) % 1.31/1.53 (step @p3960 :rule nary_cong :premises (@p3959 @p3958) :args (@t3810)) % 1.31/1.53 (step @p3961 :rule quant-miniscope-or :args ((= (forall @t70 @t3811) @t3810))) % 1.31/1.53 (step @p3962 :rule aci_norm :args ((= @t3812 @t3811))) % 1.31/1.53 (step @p3963 :rule cong :premises (@p3962) :args ((forall @t70 @t3812))) % 1.31/1.53 (step @p3964 :rule trans :premises (@p3963 @p3961)) % 1.31/1.53 (step @p3965 :rule trans :premises (@p3964 @p3960)) % 1.31/1.53 (step @p3966 :rule aci_norm :args ((= (or @t3257 @t3813) @t3812))) % 1.31/1.53 (step @p3967 :rule aci_norm :args ((= (or @t317 @t3814) @t3813))) % 1.31/1.53 (step @p3968 :rule bool-impl-elim :args (@t153 @t129)) % 1.31/1.53 (step @p3969 :rule refl :args (@t317)) % 1.31/1.53 (step @p3970 :rule nary_cong :premises (@p3969 @p3968) :args ((or @t317 @t166))) % 1.31/1.53 (step @p3971 :rule trans :premises (@p3970 @p3967)) % 1.31/1.53 (step @p3972 :rule bool-impl-elim :args (@t144 @t166)) % 1.31/1.53 (step @p3973 :rule trans :premises (@p3972 @p3971)) % 1.31/1.53 (step @p3974 :rule nary_cong :premises (@p2339 @p3973) :args ((or @t3257 @t345))) % 1.31/1.53 (step @p3975 :rule trans :premises (@p3974 @p3966)) % 1.31/1.53 (step @p3976 :rule bool-impl-elim :args (@t21 @t345)) % 1.31/1.53 (step @p3977 :rule trans :premises (@p3976 @p3975)) % 1.31/1.53 (step @p3978 :rule cong :premises (@p3977) :args (@t718)) % 1.31/1.53 (step @p3979 :rule trans :premises (@p3978 @p3965)) % 1.31/1.53 (step @p3980 :rule cong :premises (@p2271 @p3979) :args (@t719)) % 1.31/1.53 (step @p3981 :rule cong :premises (@p3980) :args (@t720)) % 1.31/1.53 (step @p3982 :rule trans :premises (@p3981 @p3949)) % 1.31/1.53 (step @p3983 :rule beta-reduce :args ((= @t3815 @t144))) % 1.31/1.53 (step @p3984 :rule cong :premises (@p3983) :args (@t3816)) % 1.31/1.53 (step @p3985 :rule ho_cong :premises (@p2586 @p3984)) % 1.31/1.53 (step @p3986 :rule ho_cong :premises (@p2588 @p3985)) % 1.31/1.53 (step @p3987 :rule beta-reduce :args ((= (_ @t3817 @t145) (_ tptp.singleton (_ @t155 @t3816))))) % 1.31/1.53 (step @p3988 :rule trans :premises (@p3987 @p3986)) % 1.31/1.53 (step @p3989 :rule refl :args (@t145)) % 1.31/1.53 (step @p3990 :rule beta-reduce :args ((= @t3818 @t3817))) % 1.31/1.53 (step @p3991 :rule ho_cong :premises (@p3990 @p3989)) % 1.31/1.53 (step @p3992 :rule trans :premises (@p3991 @p3988)) % 1.31/1.53 (step @p3993 :rule cong :premises (@p3992 @p3982) :args (@t3820)) % 1.31/1.53 (step @p3994 :rule cong :premises (@p3993) :args (@t3821)) % 1.31/1.53 (step @p3995 :rule trans :premises (@p3994 @p3927)) % 1.31/1.53 (step @p3996 :rule refl :args (tptp.ex1E2)) % 1.31/1.53 (step @p3997 :rule cong :premises (@p3996 @p3995) :args ((= tptp.ex1E2 @t3821))) % 1.31/1.53 (step @p3998 :rule refl :args (@t720)) % 1.31/1.53 (step @p3999 :rule ho_cong :premises (@p259 @p2535)) % 1.31/1.53 (step @p4000 :rule ho_cong :premises (@p3999 @p3989)) % 1.31/1.53 (step @p4001 :rule cong :premises (@p4000 @p3998) :args (@t950)) % 1.31/1.53 (step @p4002 :rule cong :premises (@p4001) :args (@t951)) % 1.31/1.53 (step @p4003 :rule cong :premises (@p3996 @p4002) :args (@t952)) % 1.31/1.53 (step @p4004 :rule trans :premises (@p4003 @p3997)) % 1.31/1.53 (step @p4005 :rule eq_resolve :premises (@p200 @p4004)) % 1.31/1.53 (step @p4006 :rule cong :premises (@p4005 @p3871) :args (@t3822)) % 1.31/1.53 (step @p4007 :rule aci_norm :args ((= @t3824 @t1947))) % 1.31/1.53 (step @p4008 :rule cong :premises (@p4007) :args (@t3825)) % 1.31/1.53 (step @p4009 :rule quant-merge-prenex :args ((= (forall @t946 @t3827) @t3825))) % 1.31/1.53 (step @p4010 :rule alpha_equiv :args (@t3828 (@list @t1938 @t1937) (@list @t143 @t3829))) % 1.31/1.53 (step @p4011 :rule nary_cong :premises (@p3331 @p4010) :args (@t3830)) % 1.31/1.53 (step @p4012 :rule quant-miniscope-or :args ((= @t3827 @t3830))) % 1.31/1.53 (step @p4013 :rule trans :premises (@p4012 @p4011)) % 1.31/1.53 (step @p4014 :rule symm :premises (@p4013)) % 1.31/1.53 (step @p4015 :rule cong :premises (@p4014) :args ((forall @t946 (or @t1872 @t3839)))) % 1.31/1.53 (step @p4016 :rule trans :premises (@p4015 @p4009)) % 1.31/1.53 (step @p4017 :rule trans :premises (@p4016 @p4008)) % 1.31/1.53 (step @p4018 :rule refl :args (@t3839)) % 1.31/1.53 (step @p4019 :rule nary_cong :premises (@p3357 @p4018) :args (@t3840)) % 1.31/1.53 (step @p4020 :rule cong :premises (@p4019) :args ((forall @t946 @t3840))) % 1.31/1.53 (step @p4021 :rule trans :premises (@p4020 @p4017)) % 1.31/1.53 (step @p4022 :rule bool-impl-elim :args (@t3604 @t3839)) % 1.31/1.53 (step @p4023 :rule cong :premises (@p4022) :args ((forall @t946 (=> @t3604 @t3839)))) % 1.31/1.53 (step @p4024 :rule trans :premises (@p4023 @p4021)) % 1.31/1.53 (step @p4025 :rule aci_norm :args ((= @t3842 @t3837))) % 1.31/1.53 (step @p4026 :rule cong :premises (@p4025) :args (@t3843)) % 1.31/1.53 (step @p4027 :rule quant-merge-prenex :args ((= (forall @t150 @t3845) @t3843))) % 1.31/1.53 (step @p4028 :rule alpha_equiv :args (@t3846 (@list @t3829) @t2833)) % 1.31/1.53 (step @p4029 :rule refl :args (@t3836)) % 1.31/1.53 (step @p4030 :rule nary_cong :premises (@p4029 @p4028) :args (@t3847)) % 1.31/1.53 (step @p4031 :rule quant-miniscope-or :args ((= @t3845 @t3847))) % 1.31/1.53 (step @p4032 :rule trans :premises (@p4031 @p4030)) % 1.31/1.53 (step @p4033 :rule symm :premises (@p4032)) % 1.31/1.53 (step @p4034 :rule cong :premises (@p4033) :args ((forall @t150 (or @t3836 @t3849)))) % 1.31/1.53 (step @p4035 :rule trans :premises (@p4034 @p4027)) % 1.31/1.53 (step @p4036 :rule trans :premises (@p4035 @p4026)) % 1.31/1.53 (step @p4037 :rule bool-impl-elim :args (@t3835 @t3849)) % 1.31/1.53 (step @p4038 :rule cong :premises (@p4037) :args ((forall @t150 (=> @t3835 @t3849)))) % 1.31/1.53 (step @p4039 :rule trans :premises (@p4038 @p4036)) % 1.31/1.53 (step @p4040 :rule refl :args (@t3848)) % 1.31/1.53 (step @p4041 :rule refl :args (@t934)) % 1.31/1.53 (step @p4042 :rule cong :premises (@p4041 @p4040) :args ((= @t934 @t3848))) % 1.31/1.53 (step @p4043 :rule symm :premises (@p4042)) % 1.31/1.53 (step @p4044 :rule eq_resolve :premises (@p4041 @p4043)) % 1.31/1.53 (step @p4045 :rule cong :premises (@p4044) :args (@t3850)) % 1.31/1.53 (step @p4046 :rule nary_cong :premises (@p4045 @p3915) :args (@t3851)) % 1.31/1.53 (step @p4047 :rule cong :premises (@p4046) :args ((forall @t9 @t3851))) % 1.31/1.53 (step @p4048 :rule bool-impl-elim :args (@t934 @t144)) % 1.31/1.53 (step @p4049 :rule cong :premises (@p4048) :args (@t935)) % 1.31/1.53 (step @p4050 :rule trans :premises (@p4049 @p4047)) % 1.31/1.53 (step @p4051 :rule aci_norm :args ((= @t3853 @t3834))) % 1.31/1.53 (step @p4052 :rule cong :premises (@p4051) :args (@t3854)) % 1.31/1.53 (step @p4053 :rule quant-merge-prenex :args ((= (forall @t9 @t3856) @t3854))) % 1.31/1.53 (step @p4054 :rule alpha_equiv :args (@t3857 (@list @t1941) @t3250)) % 1.31/1.53 (step @p4055 :rule nary_cong :premises (@p2212 @p4054) :args (@t3858)) % 1.31/1.53 (step @p4056 :rule quant-miniscope-or :args ((= @t3856 @t3858))) % 1.31/1.53 (step @p4057 :rule trans :premises (@p4056 @p4055)) % 1.31/1.53 (step @p4058 :rule symm :premises (@p4057)) % 1.31/1.53 (step @p4059 :rule cong :premises (@p4058) :args ((forall @t9 (or @t1730 @t3860)))) % 1.31/1.53 (step @p4060 :rule trans :premises (@p4059 @p4053)) % 1.31/1.53 (step @p4061 :rule trans :premises (@p4060 @p4052)) % 1.31/1.53 (step @p4062 :rule refl :args (@t3860)) % 1.31/1.53 (step @p4063 :rule nary_cong :premises (@p936 @p4062) :args (@t3861)) % 1.31/1.53 (step @p4064 :rule cong :premises (@p4063) :args ((forall @t9 @t3861))) % 1.31/1.53 (step @p4065 :rule trans :premises (@p4064 @p4061)) % 1.31/1.53 (step @p4066 :rule bool-impl-elim :args (@t7 @t3860)) % 1.31/1.53 (step @p4067 :rule cong :premises (@p4066) :args ((forall @t9 (=> @t7 @t3860)))) % 1.31/1.53 (step @p4068 :rule trans :premises (@p4067 @p4065)) % 1.31/1.53 (step @p4069 :rule refl :args ((_ @t143 @t633))) % 1.31/1.53 (step @p4070 :rule cong :premises (@p3416) :args (@t3859)) % 1.31/1.53 (step @p4071 :rule trans :premises (@p4070 @p4069)) % 1.31/1.53 (step @p4072 :rule refl :args (@t143)) % 1.31/1.53 (step @p4073 :rule ho_cong :premises (@p4072 @p3416)) % 1.31/1.53 (step @p4074 :rule cong :premises (@p4073 @p4071) :args ((= (_ @t143 @t1985) @t3859))) % 1.31/1.53 (step @p4075 :rule symm :premises (@p4074)) % 1.31/1.53 (step @p4076 :rule refl :args (@t936)) % 1.31/1.53 (step @p4077 :rule eq_resolve :premises (@p4076 @p4075)) % 1.31/1.53 (step @p4078 :rule ho_cong :premises (@p4072 @p3428)) % 1.31/1.53 (step @p4079 :rule trans :premises (@p4078 @p4077)) % 1.31/1.53 (step @p4080 :rule nary_cong :premises (@p3448 @p3482 @p4079) :args (@t3862)) % 1.31/1.53 (step @p4081 :rule cong :premises (@p4080) :args ((forall @t70 @t3862))) % 1.31/1.53 (step @p4082 :rule aci_norm :args ((= (or @t3628 (or @t3640 @t936)) @t3862))) % 1.31/1.53 (step @p4083 :rule bool-impl-elim :args (@t937 @t936)) % 1.31/1.53 (step @p4084 :rule nary_cong :premises (@p3453 @p4083) :args ((or @t3628 @t938))) % 1.31/1.53 (step @p4085 :rule trans :premises (@p4084 @p4082)) % 1.31/1.53 (step @p4086 :rule bool-impl-elim :args (@t354 @t938)) % 1.31/1.53 (step @p4087 :rule trans :premises (@p4086 @p4085)) % 1.31/1.53 (step @p4088 :rule cong :premises (@p4087) :args (@t939)) % 1.31/1.53 (step @p4089 :rule trans :premises (@p4088 @p4081)) % 1.31/1.53 (step @p4090 :rule cong :premises (@p2271 @p4089) :args (@t940)) % 1.31/1.53 (step @p4091 :rule cong :premises (@p4090) :args (@t941)) % 1.31/1.53 (step @p4092 :rule trans :premises (@p4091 @p4068)) % 1.31/1.53 (step @p4093 :rule cong :premises (@p4092 @p4050) :args (@t942)) % 1.31/1.53 (step @p4094 :rule cong :premises (@p4093) :args (@t943)) % 1.31/1.53 (step @p4095 :rule trans :premises (@p4094 @p4039)) % 1.31/1.53 (step @p4096 :rule cong :premises (@p3511 @p4095) :args (@t3863)) % 1.31/1.53 (step @p4097 :rule cong :premises (@p4096) :args (@t3864)) % 1.31/1.53 (step @p4098 :rule trans :premises (@p4097 @p4024)) % 1.31/1.53 (step @p4099 :rule refl :args (tptp.brelnall2)) % 1.31/1.53 (step @p4100 :rule cong :premises (@p4099 @p4098) :args ((= tptp.brelnall2 @t3864))) % 1.31/1.53 (step @p4101 :rule refl :args (@t943)) % 1.31/1.53 (step @p4102 :rule cong :premises (@p3523 @p4101) :args (@t945)) % 1.31/1.53 (step @p4103 :rule cong :premises (@p4102) :args (@t947)) % 1.31/1.53 (step @p4104 :rule cong :premises (@p4099 @p4103) :args (@t949)) % 1.31/1.53 (step @p4105 :rule trans :premises (@p4104 @p4100)) % 1.31/1.53 (step @p4106 :rule eq_resolve :premises (@p199 @p4105)) % 1.31/1.53 (step @p4107 :rule cong :premises (@p4106 @p4006) :args (@t3865)) % 1.31/1.53 (step @p4108 :rule refl :args (tptp.brelnall1)) % 1.31/1.53 (step @p4109 :rule cong :premises (@p4108 @p4098) :args ((= tptp.brelnall1 @t3864))) % 1.31/1.53 (step @p4110 :rule cong :premises (@p4108 @p4103) :args (@t948)) % 1.31/1.53 (step @p4111 :rule trans :premises (@p4110 @p4109)) % 1.31/1.53 (step @p4112 :rule eq_resolve :premises (@p198 @p4111)) % 1.31/1.53 (step @p4113 :rule cong :premises (@p4112 @p4107) :args (@t3866)) % 1.31/1.53 (step @p4114 :rule refl :args (@t1823)) % 1.31/1.53 (step @p4115 :rule lambda-elim :args ((= @t3867 @t913))) % 1.31/1.53 (step @p4116 :rule cong :premises (@p2535 @p3061 @p4115) :args (@t3868)) % 1.31/1.53 (step @p4117 :rule cong :premises (@p4116 @p4114) :args (@t3869)) % 1.31/1.53 (step @p4118 :rule refl :args (@t1833)) % 1.31/1.53 (step @p4119 :rule nary_cong :premises (@p4118 @p4117) :args (@t3870)) % 1.31/1.53 (step @p4120 :rule cong :premises (@p4119) :args ((forall @t919 @t3870))) % 1.31/1.53 (step @p4121 :rule refl :args ((tptp.in @t924 @t903))) % 1.31/1.53 (step @p4122 :rule refl :args ((tptp.lam @t2 @t1 @t922))) % 1.31/1.53 (step @p4123 :rule cong :premises (@p3098) :args (@t3867)) % 1.31/1.53 (step @p4124 :rule cong :premises (@p983 @p2994 @p4123) :args (@t3868)) % 1.31/1.53 (step @p4125 :rule trans :premises (@p4124 @p4122)) % 1.31/1.53 (step @p4126 :rule cong :premises (@p4125 @p3013) :args (@t3869)) % 1.31/1.53 (step @p4127 :rule trans :premises (@p4126 @p4121)) % 1.31/1.53 (step @p4128 :rule ho_cong :premises (@p990 @p4125)) % 1.31/1.53 (step @p4129 :rule ho_cong :premises (@p4128 @p3013)) % 1.31/1.53 (step @p4130 :rule cong :premises (@p4129 @p4127) :args ((= (_ (_ tptp.in @t3868) @t1823) @t3869))) % 1.31/1.53 (step @p4131 :rule symm :premises (@p4130)) % 1.31/1.53 (step @p4132 :rule refl :args (@t929)) % 1.31/1.53 (step @p4133 :rule eq_resolve :premises (@p4132 @p4131)) % 1.31/1.53 (step @p4134 :rule ho_cong :premises (@p2997 @p4123)) % 1.31/1.53 (step @p4135 :rule cong :premises (@p4134 @p4125) :args ((= (_ @t923 @t3867) @t3868))) % 1.31/1.53 (step @p4136 :rule symm :premises (@p4135)) % 1.31/1.53 (step @p4137 :rule refl :args (@t924)) % 1.31/1.53 (step @p4138 :rule eq_resolve :premises (@p4137 @p4136)) % 1.31/1.53 (step @p4139 :rule cong :premises (@p3102) :args (@t922)) % 1.31/1.53 (step @p4140 :rule ho_cong :premises (@p2997 @p4139)) % 1.31/1.53 (step @p4141 :rule trans :premises (@p4140 @p4138)) % 1.31/1.53 (step @p4142 :rule ho_cong :premises (@p990 @p4141)) % 1.31/1.53 (step @p4143 :rule ho_cong :premises (@p4142 @p3025)) % 1.31/1.53 (step @p4144 :rule trans :premises (@p4143 @p4133)) % 1.31/1.53 (step @p4145 :rule nary_cong :premises (@p3049 @p4144) :args (@t3871)) % 1.31/1.53 (step @p4146 :rule cong :premises (@p4145) :args ((forall @t919 @t3871))) % 1.31/1.53 (step @p4147 :rule trans :premises (@p4146 @p4120)) % 1.31/1.53 (step @p4148 :rule bool-impl-elim :args (@t1832 @t929)) % 1.31/1.53 (step @p4149 :rule cong :premises (@p4148) :args ((forall @t919 (=> @t1832 @t929)))) % 1.31/1.53 (step @p4150 :rule trans :premises (@p4149 @p4147)) % 1.31/1.53 (step @p4151 :rule refl :args (@t929)) % 1.31/1.53 (step @p4152 :rule cong :premises (@p3130 @p4151) :args (@t930)) % 1.31/1.53 (step @p4153 :rule cong :premises (@p4152) :args (@t931)) % 1.31/1.53 (step @p4154 :rule trans :premises (@p4153 @p4150)) % 1.31/1.53 (step @p4155 :rule refl :args (tptp.lam2p)) % 1.31/1.53 (step @p4156 :rule cong :premises (@p4155 @p4154) :args (@t932)) % 1.31/1.53 (step @p4157 :rule eq_resolve :premises (@p197 @p4156)) % 1.31/1.53 (step @p4158 :rule cong :premises (@p4157 @p4113) :args (@t3872)) % 1.31/1.53 (step @p4159 :rule cong :premises (@p2535 @p3061 @p4116) :args (@t3873)) % 1.31/1.53 (step @p4160 :rule nary_cong :premises (@p4118 @p4159) :args (@t3874)) % 1.31/1.53 (step @p4161 :rule cong :premises (@p4160) :args ((forall @t919 @t3874))) % 1.31/1.53 (step @p4162 :rule refl :args ((tptp.func @t2 @t1 @t924))) % 1.31/1.53 (step @p4163 :rule cong :premises (@p983 @p2994 @p4125) :args (@t3873)) % 1.31/1.53 (step @p4164 :rule trans :premises (@p4163 @p4162)) % 1.31/1.53 (step @p4165 :rule refl :args (@t884)) % 1.31/1.53 (step @p4166 :rule ho_cong :premises (@p4165 @p4125)) % 1.31/1.53 (step @p4167 :rule cong :premises (@p4166 @p4164) :args ((= (_ @t884 @t3868) @t3873))) % 1.31/1.53 (step @p4168 :rule symm :premises (@p4167)) % 1.31/1.53 (step @p4169 :rule refl :args (@t925)) % 1.31/1.53 (step @p4170 :rule eq_resolve :premises (@p4169 @p4168)) % 1.31/1.53 (step @p4171 :rule ho_cong :premises (@p4165 @p4141)) % 1.31/1.53 (step @p4172 :rule trans :premises (@p4171 @p4170)) % 1.31/1.53 (step @p4173 :rule nary_cong :premises (@p3049 @p4172) :args (@t3875)) % 1.31/1.53 (step @p4174 :rule cong :premises (@p4173) :args ((forall @t919 @t3875))) % 1.31/1.53 (step @p4175 :rule trans :premises (@p4174 @p4161)) % 1.31/1.53 (step @p4176 :rule bool-impl-elim :args (@t1832 @t925)) % 1.31/1.53 (step @p4177 :rule cong :premises (@p4176) :args ((forall @t919 (=> @t1832 @t925)))) % 1.31/1.53 (step @p4178 :rule trans :premises (@p4177 @p4175)) % 1.31/1.53 (step @p4179 :rule refl :args (@t925)) % 1.31/1.53 (step @p4180 :rule cong :premises (@p3130 @p4179) :args (@t926)) % 1.31/1.53 (step @p4181 :rule cong :premises (@p4180) :args (@t927)) % 1.31/1.53 (step @p4182 :rule trans :premises (@p4181 @p4178)) % 1.31/1.53 (step @p4183 :rule refl :args (tptp.lamp)) % 1.31/1.53 (step @p4184 :rule cong :premises (@p4183 @p4182) :args (@t928)) % 1.31/1.53 (step @p4185 :rule eq_resolve :premises (@p196 @p4184)) % 1.31/1.53 (step @p4186 :rule cong :premises (@p4185 @p4158) :args (@t3876)) % 1.31/1.53 (step @p4187 :rule refl :args ((tptp.func @t2 @t1 @t3879))) % 1.31/1.53 (step @p4188 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t3878))) % 1.31/1.53 (step @p4189 :rule cong :premises (@p2323 @p3098) :args (@t1952)) % 1.31/1.53 (step @p4190 :rule cong :premises (@p4189) :args (@t1953)) % 1.31/1.53 (step @p4191 :rule cong :premises (@p983 @p2994 @p4190) :args (@t1954)) % 1.31/1.53 (step @p4192 :rule trans :premises (@p4191 @p4188)) % 1.31/1.53 (step @p4193 :rule cong :premises (@p983 @p2994 @p4192) :args (@t1955)) % 1.31/1.53 (step @p4194 :rule trans :premises (@p4193 @p4187)) % 1.31/1.53 (step @p4195 :rule ho_cong :premises (@p4165 @p4192)) % 1.31/1.53 (step @p4196 :rule cong :premises (@p4195 @p4194) :args ((= (_ @t884 @t1954) @t1955))) % 1.31/1.53 (step @p4197 :rule symm :premises (@p4196)) % 1.31/1.53 (step @p4198 :rule refl :args (@t3880)) % 1.31/1.53 (step @p4199 :rule eq_resolve :premises (@p4198 @p4197)) % 1.31/1.53 (step @p4200 :rule refl :args (@t848)) % 1.31/1.53 (step @p4201 :rule ho_cong :premises (@p4200 @p4190)) % 1.31/1.53 (step @p4202 :rule cong :premises (@p4201 @p4192) :args ((= (_ @t848 @t1953) @t1954))) % 1.31/1.53 (step @p4203 :rule symm :premises (@p4202)) % 1.31/1.53 (step @p4204 :rule refl :args (@t3879)) % 1.31/1.53 (step @p4205 :rule eq_resolve :premises (@p4204 @p4203)) % 1.31/1.53 (step @p4206 :rule cong :premises (@p2323 @p3102) :args (@t3877)) % 1.31/1.53 (step @p4207 :rule cong :premises (@p4206) :args (@t3878)) % 1.31/1.53 (step @p4208 :rule ho_cong :premises (@p4200 @p4207)) % 1.31/1.53 (step @p4209 :rule trans :premises (@p4208 @p4205)) % 1.31/1.53 (step @p4210 :rule ho_cong :premises (@p4165 @p4209)) % 1.31/1.53 (step @p4211 :rule trans :premises (@p4210 @p4199)) % 1.31/1.53 (step @p4212 :rule nary_cong :premises (@p3049 @p4211) :args (@t3881)) % 1.31/1.53 (step @p4213 :rule cong :premises (@p4212) :args ((forall @t919 @t3881))) % 1.31/1.53 (step @p4214 :rule bool-impl-elim :args (@t1832 @t3880)) % 1.31/1.53 (step @p4215 :rule cong :premises (@p4214) :args ((forall @t919 (=> @t1832 @t3880)))) % 1.31/1.53 (step @p4216 :rule trans :premises (@p4215 @p4213)) % 1.31/1.53 (step @p4217 :rule eq-symm :args (@t914 @t19)) % 1.31/1.53 (step @p4218 :rule cong :premises (@p4217) :args (@t915)) % 1.31/1.53 (step @p4219 :rule refl :args (@t848)) % 1.31/1.53 (step @p4220 :rule ho_cong :premises (@p4219 @p4218)) % 1.31/1.53 (step @p4221 :rule refl :args (@t884)) % 1.31/1.53 (step @p4222 :rule ho_cong :premises (@p4221 @p4220)) % 1.31/1.53 (step @p4223 :rule cong :premises (@p3130 @p4222) :args (@t918)) % 1.31/1.53 (step @p4224 :rule cong :premises (@p4223) :args (@t920)) % 1.31/1.53 (step @p4225 :rule trans :premises (@p4224 @p4216)) % 1.31/1.53 (step @p4226 :rule refl :args (tptp.lamProp)) % 1.31/1.53 (step @p4227 :rule cong :premises (@p4226 @p4225) :args (@t921)) % 1.31/1.53 (step @p4228 :rule eq_resolve :premises (@p195 @p4227)) % 1.31/1.53 (step @p4229 :rule cong :premises (@p4228 @p4186) :args (@t3882)) % 1.31/1.53 (step @p4230 :rule nary_cong :premises (@p3160 @p3027) :args (@t3883)) % 1.31/1.53 (step @p4231 :rule cong :premises (@p4230) :args ((forall @t887 @t3883))) % 1.31/1.53 (step @p4232 :rule bool-impl-elim :args (@t885 @t905)) % 1.31/1.53 (step @p4233 :rule cong :premises (@p4232) :args (@t911)) % 1.31/1.53 (step @p4234 :rule trans :premises (@p4233 @p4231)) % 1.31/1.53 (step @p4235 :rule refl :args (tptp.funcinfuncset)) % 1.31/1.53 (step @p4236 :rule cong :premises (@p4235 @p4234) :args (@t912)) % 1.31/1.53 (step @p4237 :rule eq_resolve :premises (@p194 @p4236)) % 1.31/1.53 (step @p4238 :rule cong :premises (@p4237 @p4229) :args (@t3884)) % 1.31/1.53 (step @p4239 :rule aci_norm :args ((= @t3886 @t1961))) % 1.31/1.53 (step @p4240 :rule cong :premises (@p4239) :args (@t3887)) % 1.31/1.53 (step @p4241 :rule quant-merge-prenex :args ((= (forall @t887 @t3889) @t3887))) % 1.31/1.53 (step @p4242 :rule alpha_equiv :args (@t3890 (@list @t1958) @t2833)) % 1.31/1.53 (step @p4243 :rule nary_cong :premises (@p3216 @p4242) :args (@t3891)) % 1.31/1.53 (step @p4244 :rule quant-miniscope-or :args ((= @t3889 @t3891))) % 1.31/1.53 (step @p4245 :rule trans :premises (@p4244 @p4243)) % 1.31/1.53 (step @p4246 :rule symm :premises (@p4245)) % 1.31/1.53 (step @p4247 :rule cong :premises (@p4246) :args ((forall @t887 (or @t1825 @t3893)))) % 1.31/1.53 (step @p4248 :rule trans :premises (@p4247 @p4241)) % 1.31/1.53 (step @p4249 :rule trans :premises (@p4248 @p4240)) % 1.31/1.53 (step @p4250 :rule refl :args (@t3893)) % 1.31/1.53 (step @p4251 :rule nary_cong :premises (@p3028 @p4250) :args (@t3894)) % 1.31/1.53 (step @p4252 :rule cong :premises (@p4251) :args ((forall @t887 @t3894))) % 1.31/1.53 (step @p4253 :rule trans :premises (@p4252 @p4249)) % 1.31/1.53 (step @p4254 :rule bool-impl-elim :args (@t905 @t3893)) % 1.31/1.53 (step @p4255 :rule cong :premises (@p4254) :args ((forall @t887 (=> @t905 @t3893)))) % 1.31/1.53 (step @p4256 :rule trans :premises (@p4255 @p4253)) % 1.31/1.53 (step @p4257 :rule refl :args ((tptp.in @t897 @t1))) % 1.31/1.53 (step @p4258 :rule cong :premises (@p2992 @p2994) :args (@t3892)) % 1.31/1.53 (step @p4259 :rule trans :premises (@p4258 @p4257)) % 1.31/1.53 (step @p4260 :rule ho_cong :premises (@p990 @p2992)) % 1.31/1.53 (step @p4261 :rule ho_cong :premises (@p4260 @p2994)) % 1.31/1.53 (step @p4262 :rule cong :premises (@p4261 @p4259) :args ((= (_ (_ tptp.in @t1819) @t1) @t3892))) % 1.31/1.53 (step @p4263 :rule symm :premises (@p4262)) % 1.31/1.53 (step @p4264 :rule refl :args (@t898)) % 1.31/1.53 (step @p4265 :rule eq_resolve :premises (@p4264 @p4263)) % 1.31/1.53 (step @p4266 :rule ho_cong :premises (@p990 @p3006)) % 1.31/1.53 (step @p4267 :rule ho_cong :premises (@p4266 @p2994)) % 1.31/1.53 (step @p4268 :rule trans :premises (@p4267 @p4265)) % 1.31/1.53 (step @p4269 :rule nary_cong :premises (@p936 @p4268) :args (@t3895)) % 1.31/1.53 (step @p4270 :rule cong :premises (@p4269) :args ((forall @t9 @t3895))) % 1.31/1.53 (step @p4271 :rule bool-impl-elim :args (@t7 @t898)) % 1.31/1.53 (step @p4272 :rule cong :premises (@p4271) :args (@t899)) % 1.31/1.53 (step @p4273 :rule trans :premises (@p4272 @p4270)) % 1.31/1.53 (step @p4274 :rule cong :premises (@p3035 @p4273) :args (@t908)) % 1.31/1.53 (step @p4275 :rule cong :premises (@p4274) :args (@t909)) % 1.31/1.53 (step @p4276 :rule trans :premises (@p4275 @p4256)) % 1.31/1.53 (step @p4277 :rule refl :args (tptp.ap2p)) % 1.31/1.53 (step @p4278 :rule cong :premises (@p4277 @p4276) :args (@t910)) % 1.31/1.53 (step @p4279 :rule eq_resolve :premises (@p193 @p4278)) % 1.31/1.53 (step @p4280 :rule cong :premises (@p4279 @p4238) :args (@t3896)) % 1.31/1.53 (step @p4281 :rule nary_cong :premises (@p3028 @p3159) :args (@t3897)) % 1.31/1.53 (step @p4282 :rule cong :premises (@p4281) :args ((forall @t887 @t3897))) % 1.31/1.53 (step @p4283 :rule bool-impl-elim :args (@t905 @t885)) % 1.31/1.53 (step @p4284 :rule cong :premises (@p4283) :args (@t906)) % 1.31/1.53 (step @p4285 :rule trans :premises (@p4284 @p4282)) % 1.31/1.53 (step @p4286 :rule refl :args (tptp.infuncsetfunc)) % 1.31/1.53 (step @p4287 :rule cong :premises (@p4286 @p4285) :args (@t907)) % 1.31/1.53 (step @p4288 :rule eq_resolve :premises (@p192 @p4287)) % 1.31/1.53 (step @p4289 :rule cong :premises (@p4288 @p4280) :args (@t3898)) % 1.31/1.53 (step @p4290 :rule aci_norm :args ((= @t3900 @t1968))) % 1.31/1.53 (step @p4291 :rule cong :premises (@p4290) :args (@t3901)) % 1.31/1.53 (step @p4292 :rule quant-merge-prenex :args ((= (forall @t887 @t3903) @t3901))) % 1.31/1.53 (step @p4293 :rule alpha_equiv :args (@t3904 (@list @t1965) @t2833)) % 1.31/1.53 (step @p4294 :rule nary_cong :premises (@p3285 @p4293) :args (@t3905)) % 1.31/1.53 (step @p4295 :rule quant-miniscope-or :args ((= @t3903 @t3905))) % 1.31/1.53 (step @p4296 :rule trans :premises (@p4295 @p4294)) % 1.31/1.53 (step @p4297 :rule symm :premises (@p4296)) % 1.31/1.53 (step @p4298 :rule cong :premises (@p4297) :args ((forall @t887 (or @t1839 @t3893)))) % 1.31/1.53 (step @p4299 :rule trans :premises (@p4298 @p4292)) % 1.31/1.53 (step @p4300 :rule trans :premises (@p4299 @p4291)) % 1.31/1.53 (step @p4301 :rule nary_cong :premises (@p3160 @p4250) :args (@t3906)) % 1.31/1.53 (step @p4302 :rule cong :premises (@p4301) :args ((forall @t887 @t3906))) % 1.31/1.53 (step @p4303 :rule trans :premises (@p4302 @p4300)) % 1.31/1.53 (step @p4304 :rule bool-impl-elim :args (@t885 @t3893)) % 1.31/1.53 (step @p4305 :rule cong :premises (@p4304) :args ((forall @t887 (=> @t885 @t3893)))) % 1.31/1.53 (step @p4306 :rule trans :premises (@p4305 @p4303)) % 1.31/1.53 (step @p4307 :rule cong :premises (@p3166 @p4273) :args (@t900)) % 1.31/1.53 (step @p4308 :rule cong :premises (@p4307) :args (@t901)) % 1.31/1.53 (step @p4309 :rule trans :premises (@p4308 @p4306)) % 1.31/1.53 (step @p4310 :rule refl :args (tptp.app)) % 1.31/1.53 (step @p4311 :rule cong :premises (@p4310 @p4309) :args (@t902)) % 1.31/1.53 (step @p4312 :rule eq_resolve :premises (@p191 @p4311)) % 1.31/1.53 (step @p4313 :rule cong :premises (@p4312 @p4289) :args (@t3907)) % 1.31/1.53 (step @p4314 :rule aci_norm :args ((= @t3909 @t1974))) % 1.31/1.53 (step @p4315 :rule cong :premises (@p4314) :args (@t3910)) % 1.31/1.53 (step @p4316 :rule quant-merge-prenex :args ((= (forall @t887 @t3912) @t3910))) % 1.31/1.53 (step @p4317 :rule alpha_equiv :args (@t3913 (@list @t1971) @t2833)) % 1.31/1.53 (step @p4318 :rule nary_cong :premises (@p3285 @p4317) :args (@t3914)) % 1.31/1.53 (step @p4319 :rule quant-miniscope-or :args ((= @t3912 @t3914))) % 1.31/1.53 (step @p4320 :rule trans :premises (@p4319 @p4318)) % 1.31/1.53 (step @p4321 :rule symm :premises (@p4320)) % 1.31/1.53 (step @p4322 :rule cong :premises (@p4321) :args ((forall @t887 (or @t1839 @t3919)))) % 1.31/1.53 (step @p4323 :rule trans :premises (@p4322 @p4316)) % 1.31/1.53 (step @p4324 :rule trans :premises (@p4323 @p4315)) % 1.31/1.53 (step @p4325 :rule refl :args (@t3919)) % 1.31/1.53 (step @p4326 :rule nary_cong :premises (@p3160 @p4325) :args (@t3920)) % 1.31/1.53 (step @p4327 :rule cong :premises (@p4326) :args ((forall @t887 @t3920))) % 1.31/1.53 (step @p4328 :rule trans :premises (@p4327 @p4324)) % 1.31/1.53 (step @p4329 :rule bool-impl-elim :args (@t885 @t3919)) % 1.31/1.53 (step @p4330 :rule cong :premises (@p4329) :args ((forall @t887 (=> @t885 @t3919)))) % 1.31/1.53 (step @p4331 :rule trans :premises (@p4330 @p4328)) % 1.31/1.53 (step @p4332 :rule refl :args ((tptp.in @t890 @t1))) % 1.31/1.53 (step @p4333 :rule refl :args ((tptp.setunion @t881))) % 1.31/1.53 (step @p4334 :rule refl :args ((tptp.dsetconstr @t1 @t880))) % 1.31/1.53 (step @p4335 :rule cong :premises (@p3633) :args (@t3915)) % 1.31/1.53 (step @p4336 :rule cong :premises (@p2994 @p4335) :args (@t3916)) % 1.31/1.53 (step @p4337 :rule trans :premises (@p4336 @p4334)) % 1.31/1.53 (step @p4338 :rule cong :premises (@p4337) :args (@t3917)) % 1.31/1.53 (step @p4339 :rule trans :premises (@p4338 @p4333)) % 1.31/1.53 (step @p4340 :rule cong :premises (@p4339 @p2994) :args (@t3918)) % 1.31/1.53 (step @p4341 :rule trans :premises (@p4340 @p4332)) % 1.31/1.53 (step @p4342 :rule ho_cong :premises (@p990 @p4339)) % 1.31/1.53 (step @p4343 :rule ho_cong :premises (@p4342 @p2994)) % 1.31/1.53 (step @p4344 :rule cong :premises (@p4343 @p4341) :args ((= (_ (_ tptp.in @t3917) @t1) @t3918))) % 1.31/1.53 (step @p4345 :rule symm :premises (@p4344)) % 1.31/1.53 (step @p4346 :rule refl :args (@t891)) % 1.31/1.53 (step @p4347 :rule eq_resolve :premises (@p4346 @p4345)) % 1.31/1.53 (step @p4348 :rule refl :args (tptp.setunion)) % 1.31/1.53 (step @p4349 :rule ho_cong :premises (@p4348 @p4337)) % 1.31/1.53 (step @p4350 :rule cong :premises (@p4349 @p4339) :args ((= (_ tptp.setunion @t3916) @t3917))) % 1.31/1.53 (step @p4351 :rule symm :premises (@p4350)) % 1.31/1.53 (step @p4352 :rule refl :args (@t890)) % 1.31/1.53 (step @p4353 :rule eq_resolve :premises (@p4352 @p4351)) % 1.31/1.53 (step @p4354 :rule refl :args (@t410)) % 1.31/1.53 (step @p4355 :rule ho_cong :premises (@p4354 @p4335)) % 1.31/1.53 (step @p4356 :rule cong :premises (@p4355 @p4337) :args ((= (_ @t410 @t3915) @t3916))) % 1.31/1.53 (step @p4357 :rule symm :premises (@p4356)) % 1.31/1.53 (step @p4358 :rule refl :args (@t881)) % 1.31/1.53 (step @p4359 :rule eq_resolve :premises (@p4358 @p4357)) % 1.31/1.53 (step @p4360 :rule cong :premises (@p3640) :args (@t880)) % 1.31/1.53 (step @p4361 :rule ho_cong :premises (@p4354 @p4360)) % 1.31/1.53 (step @p4362 :rule trans :premises (@p4361 @p4359)) % 1.31/1.53 (step @p4363 :rule ho_cong :premises (@p4348 @p4362)) % 1.31/1.53 (step @p4364 :rule trans :premises (@p4363 @p4353)) % 1.31/1.53 (step @p4365 :rule ho_cong :premises (@p990 @p4364)) % 1.31/1.53 (step @p4366 :rule ho_cong :premises (@p4365 @p2994)) % 1.31/1.53 (step @p4367 :rule trans :premises (@p4366 @p4347)) % 1.31/1.53 (step @p4368 :rule nary_cong :premises (@p936 @p4367) :args (@t3921)) % 1.31/1.53 (step @p4369 :rule cong :premises (@p4368) :args ((forall @t9 @t3921))) % 1.31/1.53 (step @p4370 :rule bool-impl-elim :args (@t7 @t891)) % 1.31/1.53 (step @p4371 :rule cong :premises (@p4370) :args (@t892)) % 1.31/1.53 (step @p4372 :rule trans :premises (@p4371 @p4369)) % 1.31/1.53 (step @p4373 :rule cong :premises (@p3166 @p4372) :args (@t893)) % 1.31/1.53 (step @p4374 :rule cong :premises (@p4373) :args (@t894)) % 1.31/1.53 (step @p4375 :rule trans :premises (@p4374 @p4331)) % 1.31/1.53 (step @p4376 :rule refl :args (tptp.apProp)) % 1.31/1.53 (step @p4377 :rule cong :premises (@p4376 @p4375) :args (@t895)) % 1.31/1.53 (step @p4378 :rule eq_resolve :premises (@p190 @p4377)) % 1.31/1.53 (step @p4379 :rule cong :premises (@p4378 @p4313) :args (@t3922)) % 1.31/1.53 (step @p4380 :rule aci_norm :args ((= @t3924 @t1980))) % 1.31/1.53 (step @p4381 :rule cong :premises (@p4380) :args (@t3925)) % 1.31/1.53 (step @p4382 :rule quant-merge-prenex :args ((= (forall @t887 @t3927) @t3925))) % 1.31/1.53 (step @p4383 :rule alpha_equiv :args (@t3928 (@list @t1977) @t2833)) % 1.31/1.53 (step @p4384 :rule nary_cong :premises (@p3285 @p4383) :args (@t3929)) % 1.31/1.53 (step @p4385 :rule quant-miniscope-or :args ((= @t3927 @t3929))) % 1.31/1.53 (step @p4386 :rule trans :premises (@p4385 @p4384)) % 1.31/1.53 (step @p4387 :rule symm :premises (@p4386)) % 1.31/1.53 (step @p4388 :rule cong :premises (@p4387) :args ((forall @t887 (or @t1839 @t3931)))) % 1.31/1.53 (step @p4389 :rule trans :premises (@p4388 @p4382)) % 1.31/1.53 (step @p4390 :rule trans :premises (@p4389 @p4381)) % 1.31/1.53 (step @p4391 :rule refl :args (@t3931)) % 1.31/1.53 (step @p4392 :rule nary_cong :premises (@p3160 @p4391) :args (@t3932)) % 1.31/1.53 (step @p4393 :rule cong :premises (@p4392) :args ((forall @t887 @t3932))) % 1.31/1.53 (step @p4394 :rule trans :premises (@p4393 @p4390)) % 1.31/1.53 (step @p4395 :rule bool-impl-elim :args (@t885 @t3931)) % 1.31/1.53 (step @p4396 :rule cong :premises (@p4395) :args ((forall @t887 (=> @t885 @t3931)))) % 1.31/1.53 (step @p4397 :rule trans :premises (@p4396 @p4394)) % 1.31/1.53 (step @p4398 :rule refl :args ((tptp.singleton @t881))) % 1.31/1.53 (step @p4399 :rule cong :premises (@p4337) :args (@t3930)) % 1.31/1.53 (step @p4400 :rule trans :premises (@p4399 @p4398)) % 1.31/1.53 (step @p4401 :rule ho_cong :premises (@p2563 @p4337)) % 1.31/1.53 (step @p4402 :rule cong :premises (@p4401 @p4400) :args ((= (_ tptp.singleton @t3916) @t3930))) % 1.31/1.53 (step @p4403 :rule symm :premises (@p4402)) % 1.31/1.53 (step @p4404 :rule refl :args (@t882)) % 1.31/1.53 (step @p4405 :rule eq_resolve :premises (@p4404 @p4403)) % 1.31/1.53 (step @p4406 :rule ho_cong :premises (@p2563 @p4362)) % 1.31/1.53 (step @p4407 :rule trans :premises (@p4406 @p4405)) % 1.31/1.53 (step @p4408 :rule nary_cong :premises (@p936 @p4407) :args (@t3933)) % 1.31/1.53 (step @p4409 :rule cong :premises (@p4408) :args ((forall @t9 @t3933))) % 1.31/1.53 (step @p4410 :rule bool-impl-elim :args (@t7 @t882)) % 1.31/1.53 (step @p4411 :rule cong :premises (@p4410) :args (@t883)) % 1.31/1.53 (step @p4412 :rule trans :premises (@p4411 @p4409)) % 1.31/1.53 (step @p4413 :rule cong :premises (@p3166 @p4412) :args (@t886)) % 1.31/1.53 (step @p4414 :rule cong :premises (@p4413) :args (@t888)) % 1.31/1.53 (step @p4415 :rule trans :premises (@p4414 @p4397)) % 1.31/1.53 (step @p4416 :rule refl :args (tptp.funcImageSingleton)) % 1.31/1.53 (step @p4417 :rule cong :premises (@p4416 @p4415) :args (@t889)) % 1.31/1.53 (step @p4418 :rule eq_resolve :premises (@p189 @p4417)) % 1.31/1.53 (step @p4419 :rule cong :premises (@p4418 @p4379) :args (@t3934)) % 1.31/1.53 (step @p4420 :rule refl :args (@t1983)) % 1.31/1.53 (step @p4421 :rule lambda-elim :args ((= @t3936 @t67))) % 1.31/1.53 (step @p4422 :rule cong :premises (@p2535 @p3061 @p4421) :args (@t3937)) % 1.31/1.53 (step @p4423 :rule refl :args (@t1985)) % 1.31/1.53 (step @p4424 :rule cong :premises (@p4423 @p4422) :args (@t3938)) % 1.31/1.53 (step @p4425 :rule cong :premises (@p4424) :args (@t3939)) % 1.31/1.53 (step @p4426 :rule nary_cong :premises (@p4425 @p4420) :args (@t3940)) % 1.31/1.53 (step @p4427 :rule cong :premises (@p4426) :args ((forall @t871 @t3940))) % 1.31/1.53 (step @p4428 :rule refl :args (@t1983)) % 1.31/1.53 (step @p4429 :rule refl :args (@t76)) % 1.31/1.53 (step @p4430 :rule cong :premises (@p4429 @p4428) :args ((= @t76 @t1983))) % 1.31/1.53 (step @p4431 :rule symm :premises (@p4430)) % 1.31/1.53 (step @p4432 :rule eq_resolve :premises (@p4429 @p4431)) % 1.31/1.53 (step @p4433 :rule refl :args ((tptp.in @t633 @t849))) % 1.31/1.53 (step @p4434 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t847))) % 1.31/1.53 (step @p4435 :rule refl :args (@t3935)) % 1.31/1.53 (step @p4436 :rule cong :premises (@p4435) :args (@t3936)) % 1.31/1.53 (step @p4437 :rule cong :premises (@p983 @p2994 @p4436) :args (@t3937)) % 1.31/1.53 (step @p4438 :rule trans :premises (@p4437 @p4434)) % 1.31/1.53 (step @p4439 :rule cong :premises (@p3416 @p4438) :args (@t3938)) % 1.31/1.53 (step @p4440 :rule trans :premises (@p4439 @p4433)) % 1.31/1.53 (step @p4441 :rule ho_cong :premises (@p3419 @p4438)) % 1.31/1.53 (step @p4442 :rule cong :premises (@p4441 @p4440) :args ((= (_ @t3626 @t3937) @t3938))) % 1.31/1.53 (step @p4443 :rule symm :premises (@p4442)) % 1.31/1.53 (step @p4444 :rule refl :args (@t850)) % 1.31/1.53 (step @p4445 :rule eq_resolve :premises (@p4444 @p4443)) % 1.31/1.53 (step @p4446 :rule ho_cong :premises (@p4200 @p4436)) % 1.31/1.53 (step @p4447 :rule cong :premises (@p4446 @p4438) :args ((= (_ @t848 @t3936) @t3937))) % 1.31/1.53 (step @p4448 :rule symm :premises (@p4447)) % 1.31/1.53 (step @p4449 :rule refl :args (@t849)) % 1.31/1.53 (step @p4450 :rule eq_resolve :premises (@p4449 @p4448)) % 1.31/1.53 (step @p4451 :rule refl :args (@t846)) % 1.31/1.53 (step @p4452 :rule cong :premises (@p4451 @p4435) :args ((= @t846 @t3935))) % 1.31/1.53 (step @p4453 :rule symm :premises (@p4452)) % 1.31/1.53 (step @p4454 :rule eq_resolve :premises (@p4451 @p4453)) % 1.31/1.53 (step @p4455 :rule cong :premises (@p4454) :args (@t847)) % 1.31/1.53 (step @p4456 :rule ho_cong :premises (@p4200 @p4455)) % 1.31/1.53 (step @p4457 :rule trans :premises (@p4456 @p4450)) % 1.31/1.53 (step @p4458 :rule ho_cong :premises (@p3429 @p4457)) % 1.31/1.53 (step @p4459 :rule trans :premises (@p4458 @p4445)) % 1.31/1.53 (step @p4460 :rule cong :premises (@p4459) :args (@t3941)) % 1.31/1.53 (step @p4461 :rule nary_cong :premises (@p4460 @p4432) :args (@t3942)) % 1.31/1.53 (step @p4462 :rule cong :premises (@p4461) :args ((forall @t871 @t3942))) % 1.31/1.53 (step @p4463 :rule trans :premises (@p4462 @p4427)) % 1.31/1.53 (step @p4464 :rule bool-impl-elim :args (@t850 @t76)) % 1.31/1.53 (step @p4465 :rule cong :premises (@p4464) :args (@t876)) % 1.31/1.53 (step @p4466 :rule trans :premises (@p4465 @p4463)) % 1.31/1.53 (step @p4467 :rule refl :args (tptp.dpsetconstrER)) % 1.31/1.53 (step @p4468 :rule cong :premises (@p4467 @p4466) :args (@t877)) % 1.31/1.53 (step @p4469 :rule eq_resolve :premises (@p188 @p4468)) % 1.31/1.53 (step @p4470 :rule cong :premises (@p4469 @p4419) :args (@t3943)) % 1.31/1.53 (step @p4471 :rule refl :args (@t1989)) % 1.31/1.53 (step @p4472 :rule nary_cong :premises (@p4425 @p4471) :args (@t3944)) % 1.31/1.53 (step @p4473 :rule cong :premises (@p4472) :args ((forall @t871 @t3944))) % 1.31/1.53 (step @p4474 :rule nary_cong :premises (@p4460 @p3447) :args (@t3945)) % 1.31/1.53 (step @p4475 :rule cong :premises (@p4474) :args ((forall @t871 @t3945))) % 1.31/1.53 (step @p4476 :rule trans :premises (@p4475 @p4473)) % 1.31/1.53 (step @p4477 :rule bool-impl-elim :args (@t850 @t354)) % 1.31/1.53 (step @p4478 :rule cong :premises (@p4477) :args (@t874)) % 1.31/1.53 (step @p4479 :rule trans :premises (@p4478 @p4476)) % 1.31/1.53 (step @p4480 :rule refl :args (tptp.dpsetconstrEL2)) % 1.31/1.53 (step @p4481 :rule cong :premises (@p4480 @p4479) :args (@t875)) % 1.31/1.53 (step @p4482 :rule eq_resolve :premises (@p187 @p4481)) % 1.31/1.53 (step @p4483 :rule cong :premises (@p4482 @p4470) :args (@t3946)) % 1.31/1.53 (step @p4484 :rule refl :args (@t1729)) % 1.31/1.53 (step @p4485 :rule nary_cong :premises (@p4425 @p4484) :args (@t3947)) % 1.31/1.53 (step @p4486 :rule cong :premises (@p4485) :args ((forall @t871 @t3947))) % 1.31/1.53 (step @p4487 :rule nary_cong :premises (@p4460 @p935) :args (@t3948)) % 1.31/1.53 (step @p4488 :rule cong :premises (@p4487) :args ((forall @t871 @t3948))) % 1.31/1.53 (step @p4489 :rule trans :premises (@p4488 @p4486)) % 1.31/1.53 (step @p4490 :rule bool-impl-elim :args (@t850 @t7)) % 1.31/1.53 (step @p4491 :rule cong :premises (@p4490) :args (@t872)) % 1.31/1.53 (step @p4492 :rule trans :premises (@p4491 @p4489)) % 1.31/1.53 (step @p4493 :rule refl :args (tptp.dpsetconstrEL1)) % 1.31/1.53 (step @p4494 :rule cong :premises (@p4493 @p4492) :args (@t873)) % 1.31/1.53 (step @p4495 :rule eq_resolve :premises (@p186 @p4494)) % 1.31/1.53 (step @p4496 :rule cong :premises (@p4495 @p4483) :args (@t3949)) % 1.31/1.53 (step @p4497 :rule aci_norm :args ((= @t3951 @t1996))) % 1.31/1.53 (step @p4498 :rule cong :premises (@p4497) :args (@t3952)) % 1.31/1.53 (step @p4499 :rule quant-merge-prenex :args ((= (forall @t854 @t3954) @t3952))) % 1.31/1.53 (step @p4500 :rule alpha_equiv :args (@t3955 (@list @t1992) @t3250)) % 1.31/1.53 (step @p4501 :rule nary_cong :premises (@p2212 @p4500) :args (@t3956)) % 1.31/1.53 (step @p4502 :rule quant-miniscope-or :args ((= @t3954 @t3956))) % 1.31/1.53 (step @p4503 :rule trans :premises (@p4502 @p4501)) % 1.31/1.53 (step @p4504 :rule symm :premises (@p4503)) % 1.31/1.53 (step @p4505 :rule cong :premises (@p4504) :args ((forall @t854 (or @t1730 @t3957)))) % 1.31/1.53 (step @p4506 :rule trans :premises (@p4505 @p4499)) % 1.31/1.53 (step @p4507 :rule trans :premises (@p4506 @p4498)) % 1.31/1.53 (step @p4508 :rule refl :args (@t3957)) % 1.31/1.53 (step @p4509 :rule nary_cong :premises (@p936 @p4508) :args (@t3958)) % 1.31/1.53 (step @p4510 :rule cong :premises (@p4509) :args ((forall @t854 @t3958))) % 1.31/1.53 (step @p4511 :rule trans :premises (@p4510 @p4507)) % 1.31/1.53 (step @p4512 :rule bool-impl-elim :args (@t7 @t3957)) % 1.31/1.53 (step @p4513 :rule cong :premises (@p4512) :args ((forall @t854 (=> @t7 @t3957)))) % 1.31/1.53 (step @p4514 :rule trans :premises (@p4513 @p4511)) % 1.31/1.53 (step @p4515 :rule refl :args (@t3623)) % 1.31/1.53 (step @p4516 :rule nary_cong :premises (@p4515 @p4425 @p4420) :args (@t3959)) % 1.31/1.53 (step @p4517 :rule cong :premises (@p4516) :args ((forall @t70 @t3959))) % 1.31/1.53 (step @p4518 :rule nary_cong :premises (@p3448 @p4460 @p4432) :args (@t3960)) % 1.31/1.53 (step @p4519 :rule cong :premises (@p4518) :args ((forall @t70 @t3960))) % 1.31/1.53 (step @p4520 :rule trans :premises (@p4519 @p4517)) % 1.31/1.53 (step @p4521 :rule aci_norm :args ((= (or @t3628 @t3942) @t3960))) % 1.31/1.53 (step @p4522 :rule nary_cong :premises (@p3453 @p4464) :args ((or @t3628 @t866))) % 1.31/1.53 (step @p4523 :rule trans :premises (@p4522 @p4521)) % 1.31/1.53 (step @p4524 :rule bool-impl-elim :args (@t354 @t866)) % 1.31/1.53 (step @p4525 :rule trans :premises (@p4524 @p4523)) % 1.31/1.53 (step @p4526 :rule cong :premises (@p4525) :args (@t867)) % 1.31/1.53 (step @p4527 :rule trans :premises (@p4526 @p4520)) % 1.31/1.53 (step @p4528 :rule cong :premises (@p2271 @p4527) :args (@t868)) % 1.31/1.53 (step @p4529 :rule cong :premises (@p4528) :args (@t869)) % 1.31/1.53 (step @p4530 :rule trans :premises (@p4529 @p4514)) % 1.31/1.53 (step @p4531 :rule refl :args (tptp.dpsetconstrERa)) % 1.31/1.53 (step @p4532 :rule cong :premises (@p4531 @p4530) :args (@t870)) % 1.31/1.53 (step @p4533 :rule eq_resolve :premises (@p185 @p4532)) % 1.31/1.53 (step @p4534 :rule cong :premises (@p4533 @p4496) :args (@t3961)) % 1.31/1.53 (step @p4535 :rule refl :args (@t1869)) % 1.31/1.53 (step @p4536 :rule lambda-elim :args ((= @t3962 @t67))) % 1.31/1.53 (step @p4537 :rule cong :premises (@p2535 @p3061 @p4536) :args (@t3963)) % 1.31/1.53 (step @p4538 :rule cong :premises (@p4537 @p4535) :args (@t3964)) % 1.31/1.53 (step @p4539 :rule cong :premises (@p4538) :args ((forall @t860 @t3964))) % 1.31/1.53 (step @p4540 :rule refl :args ((tptp.subset @t858 @t675))) % 1.31/1.53 (step @p4541 :rule refl :args ((tptp.dpsetconstr @t2 @t1 @t857))) % 1.31/1.53 (step @p4542 :rule cong :premises (@p4428) :args (@t3962)) % 1.31/1.53 (step @p4543 :rule cong :premises (@p983 @p2994 @p4542) :args (@t3963)) % 1.31/1.53 (step @p4544 :rule trans :premises (@p4543 @p4541)) % 1.31/1.53 (step @p4545 :rule cong :premises (@p4544 @p3341) :args (@t3964)) % 1.31/1.53 (step @p4546 :rule trans :premises (@p4545 @p4540)) % 1.31/1.53 (step @p4547 :rule ho_cong :premises (@p1053 @p4544)) % 1.31/1.53 (step @p4548 :rule ho_cong :premises (@p4547 @p3341)) % 1.31/1.53 (step @p4549 :rule cong :premises (@p4548 @p4546) :args ((= (_ (_ tptp.subset @t3963) @t1869) @t3964))) % 1.31/1.53 (step @p4550 :rule symm :premises (@p4549)) % 1.31/1.53 (step @p4551 :rule refl :args (@t859)) % 1.31/1.53 (step @p4552 :rule eq_resolve :premises (@p4551 @p4550)) % 1.31/1.53 (step @p4553 :rule ho_cong :premises (@p4200 @p4542)) % 1.31/1.53 (step @p4554 :rule cong :premises (@p4553 @p4544) :args ((= (_ @t848 @t3962) @t3963))) % 1.31/1.53 (step @p4555 :rule symm :premises (@p4554)) % 1.31/1.53 (step @p4556 :rule refl :args (@t858)) % 1.31/1.53 (step @p4557 :rule eq_resolve :premises (@p4556 @p4555)) % 1.31/1.53 (step @p4558 :rule cong :premises (@p4432) :args (@t857)) % 1.31/1.53 (step @p4559 :rule ho_cong :premises (@p4200 @p4558)) % 1.31/1.53 (step @p4560 :rule trans :premises (@p4559 @p4557)) % 1.31/1.53 (step @p4561 :rule ho_cong :premises (@p1053 @p4560)) % 1.31/1.53 (step @p4562 :rule ho_cong :premises (@p4561 @p3354)) % 1.31/1.53 (step @p4563 :rule trans :premises (@p4562 @p4552)) % 1.31/1.53 (step @p4564 :rule cong :premises (@p4563) :args (@t861)) % 1.31/1.53 (step @p4565 :rule trans :premises (@p4564 @p4539)) % 1.31/1.53 (step @p4566 :rule beta-reduce :args ((= (_ @t3642 @t858) @t859))) % 1.31/1.53 (step @p4567 :rule refl :args (@t858)) % 1.31/1.53 (step @p4568 :rule ho_cong :premises (@p3502 @p4567)) % 1.31/1.53 (step @p4569 :rule trans :premises (@p4568 @p4566)) % 1.31/1.53 (step @p4570 :rule cong :premises (@p4569) :args (@t3965)) % 1.31/1.53 (step @p4571 :rule trans :premises (@p4570 @p4565)) % 1.31/1.53 (step @p4572 :rule refl :args (tptp.setOfPairsIsBReln)) % 1.31/1.53 (step @p4573 :rule cong :premises (@p4572 @p4571) :args ((= tptp.setOfPairsIsBReln @t3965))) % 1.31/1.53 (step @p4574 :rule ho_cong :premises (@p3519 @p4567)) % 1.31/1.53 (step @p4575 :rule cong :premises (@p4574) :args (@t864)) % 1.31/1.53 (step @p4576 :rule cong :premises (@p4572 @p4575) :args (@t865)) % 1.31/1.53 (step @p4577 :rule trans :premises (@p4576 @p4573)) % 1.31/1.53 (step @p4578 :rule eq_resolve :premises (@p184 @p4577)) % 1.31/1.53 (step @p4579 :rule cong :premises (@p4578 @p4534) :args (@t3966)) % 1.31/1.53 (step @p4580 :rule refl :args (tptp.dpsetconstrSub)) % 1.31/1.53 (step @p4581 :rule cong :premises (@p4580 @p4565) :args (@t862)) % 1.31/1.53 (step @p4582 :rule eq_resolve :premises (@p183 @p4581)) % 1.31/1.53 (step @p4583 :rule cong :premises (@p4582 @p4579) :args (@t3967)) % 1.31/1.53 (step @p4584 :rule aci_norm :args ((= @t3969 @t2004))) % 1.31/1.53 (step @p4585 :rule cong :premises (@p4584) :args (@t3970)) % 1.31/1.53 (step @p4586 :rule quant-merge-prenex :args ((= (forall @t854 @t3972) @t3970))) % 1.31/1.53 (step @p4587 :rule alpha_equiv :args (@t3973 (@list @t2000) @t3250)) % 1.31/1.53 (step @p4588 :rule nary_cong :premises (@p2212 @p4587) :args (@t3974)) % 1.31/1.53 (step @p4589 :rule quant-miniscope-or :args ((= @t3972 @t3974))) % 1.31/1.53 (step @p4590 :rule trans :premises (@p4589 @p4588)) % 1.31/1.53 (step @p4591 :rule symm :premises (@p4590)) % 1.31/1.53 (step @p4592 :rule cong :premises (@p4591) :args ((forall @t854 (or @t1730 @t3975)))) % 1.31/1.53 (step @p4593 :rule trans :premises (@p4592 @p4586)) % 1.31/1.53 (step @p4594 :rule trans :premises (@p4593 @p4585)) % 1.31/1.53 (step @p4595 :rule refl :args (@t3975)) % 1.31/1.53 (step @p4596 :rule nary_cong :premises (@p936 @p4595) :args (@t3976)) % 1.31/1.53 (step @p4597 :rule cong :premises (@p4596) :args ((forall @t854 @t3976))) % 1.31/1.53 (step @p4598 :rule trans :premises (@p4597 @p4594)) % 1.31/1.53 (step @p4599 :rule bool-impl-elim :args (@t7 @t3975)) % 1.31/1.53 (step @p4600 :rule cong :premises (@p4599) :args ((forall @t854 (=> @t7 @t3975)))) % 1.31/1.53 (step @p4601 :rule trans :premises (@p4600 @p4598)) % 1.31/1.53 (step @p4602 :rule refl :args (@t2547)) % 1.31/1.53 (step @p4603 :rule nary_cong :premises (@p4515 @p4602 @p4424) :args (@t3977)) % 1.31/1.53 (step @p4604 :rule cong :premises (@p4603) :args ((forall @t70 @t3977))) % 1.31/1.53 (step @p4605 :rule cong :premises (@p4432) :args (@t3978)) % 1.31/1.53 (step @p4606 :rule nary_cong :premises (@p3448 @p4605 @p4459) :args (@t3979)) % 1.31/1.53 (step @p4607 :rule cong :premises (@p4606) :args ((forall @t70 @t3979))) % 1.31/1.53 (step @p4608 :rule trans :premises (@p4607 @p4604)) % 1.31/1.53 (step @p4609 :rule aci_norm :args ((= (or @t3628 (or @t3978 @t850)) @t3979))) % 1.31/1.53 (step @p4610 :rule bool-impl-elim :args (@t76 @t850)) % 1.31/1.53 (step @p4611 :rule nary_cong :premises (@p3453 @p4610) :args ((or @t3628 @t851))) % 1.31/1.53 (step @p4612 :rule trans :premises (@p4611 @p4609)) % 1.31/1.53 (step @p4613 :rule bool-impl-elim :args (@t354 @t851)) % 1.31/1.53 (step @p4614 :rule trans :premises (@p4613 @p4612)) % 1.31/1.53 (step @p4615 :rule cong :premises (@p4614) :args (@t852)) % 1.31/1.53 (step @p4616 :rule trans :premises (@p4615 @p4608)) % 1.31/1.53 (step @p4617 :rule cong :premises (@p2271 @p4616) :args (@t853)) % 1.31/1.53 (step @p4618 :rule cong :premises (@p4617) :args (@t855)) % 1.31/1.53 (step @p4619 :rule trans :premises (@p4618 @p4601)) % 1.31/1.53 (step @p4620 :rule refl :args (tptp.dpsetconstrI)) % 1.31/1.53 (step @p4621 :rule cong :premises (@p4620 @p4619) :args (@t856)) % 1.31/1.53 (step @p4622 :rule eq_resolve :premises (@p182 @p4621)) % 1.31/1.53 (step @p4623 :rule cong :premises (@p4622 @p4583) :args (@t3980)) % 1.31/1.53 (step @p4624 :rule refl :args ((tptp.kpair @t768 @t814))) % 1.31/1.53 (step @p4625 :rule refl :args (@t2007)) % 1.31/1.53 (step @p4626 :rule refl :args (@t2008)) % 1.31/1.53 (step @p4627 :rule cong :premises (@p4626 @p4625) :args (@t2009)) % 1.31/1.53 (step @p4628 :rule trans :premises (@p4627 @p4624)) % 1.31/1.53 (step @p4629 :rule refl :args (tptp.kpair)) % 1.31/1.53 (step @p4630 :rule ho_cong :premises (@p4629 @p4626)) % 1.31/1.53 (step @p4631 :rule ho_cong :premises (@p4630 @p4625)) % 1.31/1.53 (step @p4632 :rule cong :premises (@p4631 @p4628) :args ((= (_ @t3981 @t2007) @t2009))) % 1.31/1.53 (step @p4633 :rule symm :premises (@p4632)) % 1.31/1.53 (step @p4634 :rule refl :args (@t815)) % 1.31/1.53 (step @p4635 :rule eq_resolve :premises (@p4634 @p4633)) % 1.31/1.53 (step @p4636 :rule refl :args (@t814)) % 1.31/1.53 (step @p4637 :rule cong :premises (@p4636 @p4625) :args ((= @t814 @t2007))) % 1.31/1.53 (step @p4638 :rule symm :premises (@p4637)) % 1.31/1.53 (step @p4639 :rule eq_resolve :premises (@p4636 @p4638)) % 1.31/1.53 (step @p4640 :rule refl :args (@t768)) % 1.31/1.53 (step @p4641 :rule cong :premises (@p4640 @p4626) :args ((= @t768 @t2008))) % 1.31/1.53 (step @p4642 :rule symm :premises (@p4641)) % 1.31/1.53 (step @p4643 :rule eq_resolve :premises (@p4640 @p4642)) % 1.31/1.53 (step @p4644 :rule ho_cong :premises (@p4629 @p4643)) % 1.31/1.53 (step @p4645 :rule ho_cong :premises (@p4644 @p4639)) % 1.31/1.53 (step @p4646 :rule trans :premises (@p4645 @p4635)) % 1.31/1.53 (step @p4647 :rule refl :args (@t383)) % 1.31/1.53 (step @p4648 :rule cong :premises (@p4647 @p4646) :args (@t3982)) % 1.31/1.53 (step @p4649 :rule refl :args ((tptp.in @t383 @t675))) % 1.31/1.53 (step @p4650 :rule cong :premises (@p4647 @p3341) :args (@t2011)) % 1.31/1.53 (step @p4651 :rule trans :premises (@p4650 @p4649)) % 1.31/1.53 (step @p4652 :rule refl :args (@t686)) % 1.31/1.53 (step @p4653 :rule ho_cong :premises (@p4652 @p3341)) % 1.31/1.53 (step @p4654 :rule cong :premises (@p4653 @p4651) :args ((= (_ @t686 @t1869) @t2011))) % 1.31/1.53 (step @p4655 :rule symm :premises (@p4654)) % 1.31/1.53 (step @p4656 :rule refl :args (@t687)) % 1.31/1.53 (step @p4657 :rule eq_resolve :premises (@p4656 @p4655)) % 1.31/1.53 (step @p4658 :rule ho_cong :premises (@p4652 @p3354)) % 1.31/1.53 (step @p4659 :rule trans :premises (@p4658 @p4657)) % 1.31/1.53 (step @p4660 :rule cong :premises (@p4659) :args (@t3983)) % 1.31/1.53 (step @p4661 :rule nary_cong :premises (@p4660 @p4648) :args (@t3984)) % 1.31/1.53 (step @p4662 :rule cong :premises (@p4661) :args ((forall @t689 @t3984))) % 1.31/1.53 (step @p4663 :rule bool-impl-elim :args (@t687 @t3982)) % 1.31/1.53 (step @p4664 :rule cong :premises (@p4663) :args ((forall @t689 (=> @t687 @t3982)))) % 1.31/1.53 (step @p4665 :rule trans :premises (@p4664 @p4662)) % 1.31/1.53 (step @p4666 :rule eq-symm :args (@t815 @t383)) % 1.31/1.53 (step @p4667 :rule refl :args (@t687)) % 1.31/1.53 (step @p4668 :rule cong :premises (@p4667 @p4666) :args (@t843)) % 1.31/1.53 (step @p4669 :rule cong :premises (@p4668) :args (@t844)) % 1.31/1.53 (step @p4670 :rule trans :premises (@p4669 @p4665)) % 1.31/1.53 (step @p4671 :rule refl :args (tptp.cartprodpairsurjEq)) % 1.31/1.53 (step @p4672 :rule cong :premises (@p4671 @p4670) :args (@t845)) % 1.31/1.53 (step @p4673 :rule eq_resolve :premises (@p181 @p4672)) % 1.31/1.53 (step @p4674 :rule cong :premises (@p4673 @p4623) :args (@t3985)) % 1.31/1.53 (step @p4675 :rule aci_norm :args ((= @t3987 @t2017))) % 1.31/1.53 (step @p4676 :rule cong :premises (@p4675) :args (@t3988)) % 1.31/1.53 (step @p4677 :rule quant-merge-prenex :args ((= (forall @t245 @t3990) @t3988))) % 1.31/1.53 (step @p4678 :rule alpha_equiv :args (@t3991 (@list @t2014) @t3250)) % 1.31/1.53 (step @p4679 :rule nary_cong :premises (@p2212 @p4678) :args (@t3992)) % 1.31/1.53 (step @p4680 :rule quant-miniscope-or :args ((= @t3990 @t3992))) % 1.31/1.53 (step @p4681 :rule trans :premises (@p4680 @p4679)) % 1.31/1.53 (step @p4682 :rule symm :premises (@p4681)) % 1.31/1.53 (step @p4683 :rule cong :premises (@p4682) :args ((forall @t245 (or @t1730 @t3993)))) % 1.31/1.53 (step @p4684 :rule trans :premises (@p4683 @p4677)) % 1.31/1.53 (step @p4685 :rule trans :premises (@p4684 @p4676)) % 1.31/1.53 (step @p4686 :rule refl :args (@t3993)) % 1.31/1.53 (step @p4687 :rule nary_cong :premises (@p936 @p4686) :args (@t3994)) % 1.31/1.53 (step @p4688 :rule cong :premises (@p4687) :args ((forall @t245 @t3994))) % 1.31/1.53 (step @p4689 :rule trans :premises (@p4688 @p4685)) % 1.31/1.53 (step @p4690 :rule bool-impl-elim :args (@t7 @t3993)) % 1.31/1.53 (step @p4691 :rule cong :premises (@p4690) :args ((forall @t245 (=> @t7 @t3993)))) % 1.31/1.53 (step @p4692 :rule trans :premises (@p4691 @p4689)) % 1.31/1.53 (step @p4693 :rule refl :args ((tptp.ksnd @t633))) % 1.31/1.53 (step @p4694 :rule cong :premises (@p3416) :args (@t2035)) % 1.31/1.53 (step @p4695 :rule trans :premises (@p4694 @p4693)) % 1.31/1.53 (step @p4696 :rule refl :args (tptp.ksnd)) % 1.31/1.53 (step @p4697 :rule ho_cong :premises (@p4696 @p3416)) % 1.31/1.53 (step @p4698 :rule cong :premises (@p4697 @p4695) :args ((= (_ tptp.ksnd @t1985) @t2035))) % 1.31/1.53 (step @p4699 :rule symm :premises (@p4698)) % 1.31/1.53 (step @p4700 :rule refl :args (@t810)) % 1.31/1.53 (step @p4701 :rule eq_resolve :premises (@p4700 @p4699)) % 1.31/1.53 (step @p4702 :rule ho_cong :premises (@p4696 @p3428)) % 1.31/1.53 (step @p4703 :rule trans :premises (@p4702 @p4701)) % 1.31/1.53 (step @p4704 :rule cong :premises (@p2323 @p4703) :args (@t3995)) % 1.31/1.53 (step @p4705 :rule nary_cong :premises (@p3448 @p4704) :args (@t3996)) % 1.31/1.53 (step @p4706 :rule cong :premises (@p4705) :args ((forall @t70 @t3996))) % 1.31/1.53 (step @p4707 :rule bool-impl-elim :args (@t354 @t3995)) % 1.31/1.53 (step @p4708 :rule cong :premises (@p4707) :args ((forall @t70 (=> @t354 @t3995)))) % 1.31/1.53 (step @p4709 :rule trans :premises (@p4708 @p4706)) % 1.31/1.53 (step @p4710 :rule eq-symm :args (@t810 @t19)) % 1.31/1.53 (step @p4711 :rule cong :premises (@p3655 @p4710) :args (@t838)) % 1.31/1.53 (step @p4712 :rule cong :premises (@p4711) :args (@t839)) % 1.31/1.53 (step @p4713 :rule trans :premises (@p4712 @p4709)) % 1.31/1.53 (step @p4714 :rule cong :premises (@p2271 @p4713) :args (@t840)) % 1.31/1.53 (step @p4715 :rule cong :premises (@p4714) :args (@t841)) % 1.31/1.53 (step @p4716 :rule trans :premises (@p4715 @p4692)) % 1.31/1.53 (step @p4717 :rule refl :args (tptp.cartprodsndpairEq)) % 1.31/1.53 (step @p4718 :rule cong :premises (@p4717 @p4716) :args (@t842)) % 1.31/1.53 (step @p4719 :rule eq_resolve :premises (@p180 @p4718)) % 1.31/1.53 (step @p4720 :rule cong :premises (@p4719 @p4674) :args (@t3997)) % 1.31/1.53 (step @p4721 :rule aci_norm :args ((= @t3999 @t2023))) % 1.31/1.53 (step @p4722 :rule cong :premises (@p4721) :args (@t4000)) % 1.31/1.53 (step @p4723 :rule quant-merge-prenex :args ((= (forall @t245 @t4002) @t4000))) % 1.31/1.53 (step @p4724 :rule alpha_equiv :args (@t4003 (@list @t2020) @t3250)) % 1.31/1.53 (step @p4725 :rule nary_cong :premises (@p2212 @p4724) :args (@t4004)) % 1.31/1.53 (step @p4726 :rule quant-miniscope-or :args ((= @t4002 @t4004))) % 1.31/1.53 (step @p4727 :rule trans :premises (@p4726 @p4725)) % 1.31/1.53 (step @p4728 :rule symm :premises (@p4727)) % 1.31/1.53 (step @p4729 :rule cong :premises (@p4728) :args ((forall @t245 (or @t1730 @t4005)))) % 1.31/1.53 (step @p4730 :rule trans :premises (@p4729 @p4723)) % 1.31/1.53 (step @p4731 :rule trans :premises (@p4730 @p4722)) % 1.31/1.53 (step @p4732 :rule refl :args (@t4005)) % 1.31/1.53 (step @p4733 :rule nary_cong :premises (@p936 @p4732) :args (@t4006)) % 1.31/1.53 (step @p4734 :rule cong :premises (@p4733) :args ((forall @t245 @t4006))) % 1.31/1.53 (step @p4735 :rule trans :premises (@p4734 @p4731)) % 1.31/1.53 (step @p4736 :rule bool-impl-elim :args (@t7 @t4005)) % 1.31/1.53 (step @p4737 :rule cong :premises (@p4736) :args ((forall @t245 (=> @t7 @t4005)))) % 1.31/1.53 (step @p4738 :rule trans :premises (@p4737 @p4735)) % 1.31/1.53 (step @p4739 :rule refl :args ((tptp.kfst @t633))) % 1.31/1.53 (step @p4740 :rule cong :premises (@p3416) :args (@t2073)) % 1.31/1.53 (step @p4741 :rule trans :premises (@p4740 @p4739)) % 1.31/1.53 (step @p4742 :rule refl :args (tptp.kfst)) % 1.31/1.53 (step @p4743 :rule ho_cong :premises (@p4742 @p3416)) % 1.31/1.53 (step @p4744 :rule cong :premises (@p4743 @p4741) :args ((= (_ tptp.kfst @t1985) @t2073))) % 1.31/1.53 (step @p4745 :rule symm :premises (@p4744)) % 1.31/1.53 (step @p4746 :rule refl :args (@t764)) % 1.31/1.53 (step @p4747 :rule eq_resolve :premises (@p4746 @p4745)) % 1.31/1.53 (step @p4748 :rule ho_cong :premises (@p4742 @p3428)) % 1.31/1.53 (step @p4749 :rule trans :premises (@p4748 @p4747)) % 1.31/1.53 (step @p4750 :rule cong :premises (@p914 @p4749) :args (@t4007)) % 1.31/1.53 (step @p4751 :rule nary_cong :premises (@p3448 @p4750) :args (@t4008)) % 1.31/1.53 (step @p4752 :rule cong :premises (@p4751) :args ((forall @t70 @t4008))) % 1.31/1.53 (step @p4753 :rule bool-impl-elim :args (@t354 @t4007)) % 1.31/1.53 (step @p4754 :rule cong :premises (@p4753) :args ((forall @t70 (=> @t354 @t4007)))) % 1.31/1.53 (step @p4755 :rule trans :premises (@p4754 @p4752)) % 1.31/1.53 (step @p4756 :rule eq-symm :args (@t764 @t4)) % 1.31/1.53 (step @p4757 :rule cong :premises (@p3655 @p4756) :args (@t833)) % 1.31/1.53 (step @p4758 :rule cong :premises (@p4757) :args (@t834)) % 1.31/1.53 (step @p4759 :rule trans :premises (@p4758 @p4755)) % 1.31/1.53 (step @p4760 :rule cong :premises (@p2271 @p4759) :args (@t835)) % 1.31/1.53 (step @p4761 :rule cong :premises (@p4760) :args (@t836)) % 1.31/1.53 (step @p4762 :rule trans :premises (@p4761 @p4738)) % 1.31/1.53 (step @p4763 :rule refl :args (tptp.cartprodfstpairEq)) % 1.31/1.53 (step @p4764 :rule cong :premises (@p4763 @p4762) :args (@t837)) % 1.31/1.53 (step @p4765 :rule eq_resolve :premises (@p179 @p4764)) % 1.31/1.53 (step @p4766 :rule cong :premises (@p4765 @p4720) :args (@t4009)) % 1.31/1.53 (step @p4767 :rule bool-eq-true :args (tptp.cartprodmempaircEq)) % 1.31/1.53 (step @p4768 :rule symm :premises (@p4767)) % 1.31/1.53 (step @p4769 :rule quant-unused-vars :args ((= (forall @t245 true) true))) % 1.31/1.53 (step @p4770 :rule quant-unused-vars :args ((= (forall @t70 true) true))) % 1.31/1.53 (step @p4771 :rule bool-impl-true1 :args (@t354)) % 1.31/1.53 (step @p4772 :rule eq-refl :args (@t633)) % 1.31/1.53 (step @p4773 :rule cong :premises (@p3655 @p4772) :args (@t828)) % 1.31/1.53 (step @p4774 :rule trans :premises (@p4773 @p4771)) % 1.31/1.53 (step @p4775 :rule cong :premises (@p4774) :args (@t829)) % 1.31/1.53 (step @p4776 :rule trans :premises (@p4775 @p4770)) % 1.31/1.53 (step @p4777 :rule cong :premises (@p2271 @p4776) :args (@t830)) % 1.31/1.53 (step @p4778 :rule trans :premises (@p4777 @p3183)) % 1.31/1.53 (step @p4779 :rule cong :premises (@p4778) :args (@t831)) % 1.31/1.53 (step @p4780 :rule trans :premises (@p4779 @p4769)) % 1.31/1.53 (step @p4781 :rule refl :args (tptp.cartprodmempaircEq)) % 1.31/1.53 (step @p4782 :rule cong :premises (@p4781 @p4780) :args (@t832)) % 1.31/1.53 (step @p4783 :rule trans :premises (@p4782 @p4767)) % 1.31/1.53 (step @p4784 :rule eq_resolve :premises (@p178 @p4783)) % 1.31/1.53 (step @p4785 :rule eq_resolve :premises (@p4784 @p4768)) % 1.31/1.53 (step @p4786 :rule cong :premises (@p4785 @p4766) :args (@t4010)) % 1.31/1.53 (step @p4787 :rule refl :args ((tptp.in @t633 @t675))) % 1.31/1.53 (step @p4788 :rule cong :premises (@p3416 @p3341) :args (@t2026)) % 1.31/1.53 (step @p4789 :rule trans :premises (@p4788 @p4787)) % 1.31/1.53 (step @p4790 :rule ho_cong :premises (@p3419 @p3341)) % 1.31/1.53 (step @p4791 :rule cong :premises (@p4790 @p4789) :args ((= (_ @t3626 @t1869) @t2026))) % 1.31/1.53 (step @p4792 :rule symm :premises (@p4791)) % 1.31/1.53 (step @p4793 :rule refl :args (@t676)) % 1.31/1.53 (step @p4794 :rule eq_resolve :premises (@p4793 @p4792)) % 1.31/1.53 (step @p4795 :rule ho_cong :premises (@p3429 @p3354)) % 1.31/1.53 (step @p4796 :rule trans :premises (@p4795 @p4794)) % 1.31/1.53 (step @p4797 :rule cong :premises (@p4796) :args (@t4011)) % 1.31/1.53 (step @p4798 :rule nary_cong :premises (@p4797 @p3447) :args (@t4012)) % 1.31/1.53 (step @p4799 :rule cong :premises (@p4798) :args ((forall @t823 @t4012))) % 1.31/1.53 (step @p4800 :rule bool-impl-elim :args (@t676 @t354)) % 1.31/1.53 (step @p4801 :rule cong :premises (@p4800) :args (@t826)) % 1.31/1.53 (step @p4802 :rule trans :premises (@p4801 @p4799)) % 1.31/1.53 (step @p4803 :rule refl :args (tptp.cartprodpairmemER)) % 1.31/1.53 (step @p4804 :rule cong :premises (@p4803 @p4802) :args (@t827)) % 1.31/1.53 (step @p4805 :rule eq_resolve :premises (@p177 @p4804)) % 1.31/1.53 (step @p4806 :rule cong :premises (@p4805 @p4786) :args (@t4013)) % 1.31/1.53 (step @p4807 :rule nary_cong :premises (@p4797 @p935) :args (@t4014)) % 1.31/1.53 (step @p4808 :rule cong :premises (@p4807) :args ((forall @t823 @t4014))) % 1.31/1.53 (step @p4809 :rule bool-impl-elim :args (@t676 @t7)) % 1.31/1.53 (step @p4810 :rule cong :premises (@p4809) :args (@t824)) % 1.31/1.53 (step @p4811 :rule trans :premises (@p4810 @p4808)) % 1.31/1.53 (step @p4812 :rule refl :args (tptp.cartprodpairmemEL)) % 1.31/1.53 (step @p4813 :rule cong :premises (@p4812 @p4811) :args (@t825)) % 1.31/1.53 (step @p4814 :rule eq_resolve :premises (@p176 @p4813)) % 1.31/1.53 (step @p4815 :rule cong :premises (@p4814 @p4806) :args (@t4015)) % 1.31/1.53 (step @p4816 :rule refl :args ((tptp.in @t814 @t1))) % 1.31/1.53 (step @p4817 :rule cong :premises (@p4625 @p2994) :args (@t2030)) % 1.31/1.53 (step @p4818 :rule trans :premises (@p4817 @p4816)) % 1.31/1.53 (step @p4819 :rule ho_cong :premises (@p990 @p4625)) % 1.31/1.53 (step @p4820 :rule ho_cong :premises (@p4819 @p2994)) % 1.31/1.53 (step @p4821 :rule cong :premises (@p4820 @p4818) :args ((= (_ (_ tptp.in @t2007) @t1) @t2030))) % 1.31/1.53 (step @p4822 :rule symm :premises (@p4821)) % 1.31/1.53 (step @p4823 :rule refl :args (@t820)) % 1.31/1.53 (step @p4824 :rule eq_resolve :premises (@p4823 @p4822)) % 1.31/1.53 (step @p4825 :rule ho_cong :premises (@p990 @p4639)) % 1.31/1.53 (step @p4826 :rule ho_cong :premises (@p4825 @p2994)) % 1.31/1.53 (step @p4827 :rule trans :premises (@p4826 @p4824)) % 1.31/1.53 (step @p4828 :rule nary_cong :premises (@p4660 @p4827) :args (@t4016)) % 1.31/1.53 (step @p4829 :rule cong :premises (@p4828) :args ((forall @t689 @t4016))) % 1.31/1.53 (step @p4830 :rule bool-impl-elim :args (@t687 @t820)) % 1.31/1.53 (step @p4831 :rule cong :premises (@p4830) :args (@t821)) % 1.31/1.53 (step @p4832 :rule trans :premises (@p4831 @p4829)) % 1.31/1.53 (step @p4833 :rule refl :args (tptp.cartprodsndin)) % 1.31/1.53 (step @p4834 :rule cong :premises (@p4833 @p4832) :args (@t822)) % 1.31/1.53 (step @p4835 :rule eq_resolve :premises (@p175 @p4834)) % 1.31/1.53 (step @p4836 :rule cong :premises (@p4835 @p4815) :args (@t4017)) % 1.31/1.53 (step @p4837 :rule refl :args (@t2032)) % 1.31/1.53 (step @p4838 :rule refl :args (@t692)) % 1.31/1.53 (step @p4839 :rule cong :premises (@p4838 @p4837) :args ((= @t692 @t2032))) % 1.31/1.53 (step @p4840 :rule symm :premises (@p4839)) % 1.31/1.53 (step @p4841 :rule eq_resolve :premises (@p4838 @p4840)) % 1.31/1.53 (step @p4842 :rule cong :premises (@p4841) :args (@t4018)) % 1.31/1.53 (step @p4843 :rule nary_cong :premises (@p4842 @p4648) :args (@t4019)) % 1.31/1.53 (step @p4844 :rule cong :premises (@p4843) :args ((forall @t756 @t4019))) % 1.31/1.53 (step @p4845 :rule bool-impl-elim :args (@t692 @t3982)) % 1.31/1.53 (step @p4846 :rule cong :premises (@p4845) :args ((forall @t756 (=> @t692 @t3982)))) % 1.31/1.53 (step @p4847 :rule trans :premises (@p4846 @p4844)) % 1.31/1.53 (step @p4848 :rule refl :args (@t692)) % 1.31/1.53 (step @p4849 :rule cong :premises (@p4848 @p4666) :args (@t817)) % 1.31/1.53 (step @p4850 :rule cong :premises (@p4849) :args (@t818)) % 1.31/1.53 (step @p4851 :rule trans :premises (@p4850 @p4847)) % 1.31/1.53 (step @p4852 :rule refl :args (tptp.kpairsurjEq)) % 1.31/1.53 (step @p4853 :rule cong :premises (@p4852 @p4851) :args (@t819)) % 1.31/1.53 (step @p4854 :rule eq_resolve :premises (@p174 @p4853)) % 1.31/1.53 (step @p4855 :rule cong :premises (@p4854 @p4836) :args (@t4020)) % 1.31/1.53 (step @p4856 :rule cong :premises (@p4704) :args ((forall @t135 @t3995))) % 1.31/1.53 (step @p4857 :rule cong :premises (@p4710) :args (@t812)) % 1.31/1.53 (step @p4858 :rule trans :premises (@p4857 @p4856)) % 1.31/1.53 (step @p4859 :rule refl :args (tptp.ksndpairEq)) % 1.31/1.53 (step @p4860 :rule cong :premises (@p4859 @p4858) :args (@t813)) % 1.31/1.53 (step @p4861 :rule eq_resolve :premises (@p173 @p4860)) % 1.31/1.53 (step @p4862 :rule cong :premises (@p4861 @p4855) :args (@t4021)) % 1.31/1.53 (step @p4863 :rule refl :args ((tptp.singleton @t806))) % 1.31/1.53 (step @p4864 :rule refl :args ((tptp.dsetconstr @t752 @t805))) % 1.31/1.53 (step @p4865 :rule refl :args ((tptp.kpair @t768 @t4))) % 1.31/1.53 (step @p4866 :rule cong :premises (@p4626 @p914) :args (@t2038)) % 1.31/1.53 (step @p4867 :rule trans :premises (@p4866 @p4865)) % 1.31/1.53 (step @p4868 :rule cong :premises (@p4647 @p4867) :args (@t2039)) % 1.31/1.53 (step @p4869 :rule cong :premises (@p4868) :args (@t2040)) % 1.31/1.53 (step @p4870 :rule refl :args (@t2041)) % 1.31/1.53 (step @p4871 :rule cong :premises (@p4870 @p4869) :args (@t2042)) % 1.31/1.53 (step @p4872 :rule trans :premises (@p4871 @p4864)) % 1.31/1.53 (step @p4873 :rule cong :premises (@p4872) :args (@t2043)) % 1.31/1.53 (step @p4874 :rule trans :premises (@p4873 @p4863)) % 1.31/1.53 (step @p4875 :rule ho_cong :premises (@p2563 @p4872)) % 1.31/1.53 (step @p4876 :rule cong :premises (@p4875 @p4874) :args ((= (_ tptp.singleton @t2042) @t2043))) % 1.31/1.53 (step @p4877 :rule symm :premises (@p4876)) % 1.31/1.53 (step @p4878 :rule refl :args (@t807)) % 1.31/1.53 (step @p4879 :rule eq_resolve :premises (@p4878 @p4877)) % 1.31/1.53 (step @p4880 :rule refl :args (tptp.dsetconstr)) % 1.31/1.53 (step @p4881 :rule ho_cong :premises (@p4880 @p4870)) % 1.31/1.53 (step @p4882 :rule ho_cong :premises (@p4881 @p4869)) % 1.31/1.53 (step @p4883 :rule cong :premises (@p4882 @p4872) :args ((= (_ @t4022 @t2040) @t2042))) % 1.31/1.53 (step @p4884 :rule symm :premises (@p4883)) % 1.31/1.53 (step @p4885 :rule refl :args (@t806)) % 1.31/1.53 (step @p4886 :rule eq_resolve :premises (@p4885 @p4884)) % 1.31/1.53 (step @p4887 :rule ho_cong :premises (@p4630 @p914)) % 1.31/1.53 (step @p4888 :rule cong :premises (@p4887 @p4867) :args ((= (_ @t3981 @t4) @t2038))) % 1.31/1.53 (step @p4889 :rule symm :premises (@p4888)) % 1.31/1.53 (step @p4890 :rule refl :args (@t803)) % 1.31/1.53 (step @p4891 :rule eq_resolve :premises (@p4890 @p4889)) % 1.31/1.53 (step @p4892 :rule ho_cong :premises (@p4644 @p914)) % 1.31/1.53 (step @p4893 :rule trans :premises (@p4892 @p4891)) % 1.31/1.53 (step @p4894 :rule cong :premises (@p4647 @p4893) :args (@t804)) % 1.31/1.53 (step @p4895 :rule cong :premises (@p4894) :args (@t805)) % 1.31/1.53 (step @p4896 :rule refl :args (@t752)) % 1.31/1.53 (step @p4897 :rule cong :premises (@p4896 @p4870) :args ((= @t752 @t2041))) % 1.31/1.53 (step @p4898 :rule symm :premises (@p4897)) % 1.31/1.53 (step @p4899 :rule eq_resolve :premises (@p4896 @p4898)) % 1.31/1.53 (step @p4900 :rule ho_cong :premises (@p4880 @p4899)) % 1.31/1.53 (step @p4901 :rule ho_cong :premises (@p4900 @p4895)) % 1.31/1.53 (step @p4902 :rule trans :premises (@p4901 @p4886)) % 1.31/1.53 (step @p4903 :rule ho_cong :premises (@p2563 @p4902)) % 1.31/1.53 (step @p4904 :rule trans :premises (@p4903 @p4879)) % 1.31/1.53 (step @p4905 :rule nary_cong :premises (@p4842 @p4904) :args (@t4023)) % 1.31/1.53 (step @p4906 :rule cong :premises (@p4905) :args ((forall @t756 @t4023))) % 1.31/1.53 (step @p4907 :rule bool-impl-elim :args (@t692 @t807)) % 1.31/1.53 (step @p4908 :rule cong :premises (@p4907) :args (@t808)) % 1.31/1.53 (step @p4909 :rule trans :premises (@p4908 @p4906)) % 1.31/1.53 (step @p4910 :rule refl :args (tptp.ksndsingleton)) % 1.31/1.53 (step @p4911 :rule cong :premises (@p4910 @p4909) :args (@t809)) % 1.31/1.53 (step @p4912 :rule eq_resolve :premises (@p172 @p4911)) % 1.31/1.53 (step @p4913 :rule cong :premises (@p4912 @p4862) :args (@t4024)) % 1.31/1.53 (step @p4914 :rule refl :args (@t791)) % 1.31/1.53 (step @p4915 :rule refl :args (@t2045)) % 1.31/1.53 (step @p4916 :rule refl :args (@t780)) % 1.31/1.53 (step @p4917 :rule cong :premises (@p4916 @p4915) :args ((= @t780 @t2045))) % 1.31/1.53 (step @p4918 :rule symm :premises (@p4917)) % 1.31/1.53 (step @p4919 :rule eq_resolve :premises (@p4916 @p4918)) % 1.31/1.53 (step @p4920 :rule cong :premises (@p3428 @p4919) :args (@t781)) % 1.31/1.53 (step @p4921 :rule cong :premises (@p4920) :args (@t4025)) % 1.31/1.53 (step @p4922 :rule nary_cong :premises (@p4921 @p4914) :args (@t4026)) % 1.31/1.53 (step @p4923 :rule cong :premises (@p4922) :args ((forall @t777 @t4026))) % 1.31/1.53 (step @p4924 :rule bool-impl-elim :args (@t781 @t791)) % 1.31/1.53 (step @p4925 :rule cong :premises (@p4924) :args (@t800)) % 1.31/1.53 (step @p4926 :rule trans :premises (@p4925 @p4923)) % 1.31/1.53 (step @p4927 :rule refl :args (tptp.setukpairinjR)) % 1.31/1.53 (step @p4928 :rule cong :premises (@p4927 @p4926) :args (@t801)) % 1.31/1.53 (step @p4929 :rule eq_resolve :premises (@p171 @p4928)) % 1.31/1.53 (step @p4930 :rule cong :premises (@p4929 @p4913) :args (@t4027)) % 1.31/1.53 (step @p4931 :rule refl :args ((tptp.setadjoin @t746 @t774))) % 1.31/1.53 (step @p4932 :rule refl :args ((tptp.setadjoin @t773 tptp.emptyset))) % 1.31/1.53 (step @p4933 :rule refl :args ((tptp.setadjoin @t289 @t772))) % 1.31/1.53 (step @p4934 :rule refl :args (@t2048)) % 1.31/1.53 (step @p4935 :rule refl :args (@t289)) % 1.31/1.53 (step @p4936 :rule cong :premises (@p4935 @p4934) :args (@t2049)) % 1.31/1.53 (step @p4937 :rule trans :premises (@p4936 @p4933)) % 1.31/1.53 (step @p4938 :rule cong :premises (@p4937 @p314) :args (@t2050)) % 1.31/1.53 (step @p4939 :rule trans :premises (@p4938 @p4932)) % 1.31/1.53 (step @p4940 :rule refl :args (@t2051)) % 1.31/1.53 (step @p4941 :rule cong :premises (@p4940 @p4939) :args (@t2052)) % 1.31/1.53 (step @p4942 :rule trans :premises (@p4941 @p4931)) % 1.31/1.53 (step @p4943 :rule refl :args (tptp.setadjoin)) % 1.31/1.53 (step @p4944 :rule ho_cong :premises (@p4943 @p4940)) % 1.31/1.53 (step @p4945 :rule ho_cong :premises (@p4944 @p4939)) % 1.31/1.53 (step @p4946 :rule cong :premises (@p4945 @p4942) :args ((= (_ (_ tptp.setadjoin @t2051) @t2050) @t2052))) % 1.31/1.53 (step @p4947 :rule symm :premises (@p4946)) % 1.31/1.53 (step @p4948 :rule refl :args (@t775)) % 1.31/1.53 (step @p4949 :rule eq_resolve :premises (@p4948 @p4947)) % 1.31/1.53 (step @p4950 :rule ho_cong :premises (@p4943 @p4937)) % 1.31/1.53 (step @p4951 :rule ho_cong :premises (@p4950 @p314)) % 1.31/1.53 (step @p4952 :rule cong :premises (@p4951 @p4939) :args ((= (_ (_ tptp.setadjoin @t2049) tptp.emptyset) @t2050))) % 1.31/1.53 (step @p4953 :rule symm :premises (@p4952)) % 1.31/1.53 (step @p4954 :rule refl :args (@t774)) % 1.31/1.53 (step @p4955 :rule eq_resolve :premises (@p4954 @p4953)) % 1.31/1.53 (step @p4956 :rule refl :args (@t745)) % 1.31/1.53 (step @p4957 :rule ho_cong :premises (@p4956 @p4934)) % 1.31/1.53 (step @p4958 :rule cong :premises (@p4957 @p4937) :args ((= (_ @t745 @t2048) @t2049))) % 1.31/1.53 (step @p4959 :rule symm :premises (@p4958)) % 1.31/1.53 (step @p4960 :rule refl :args (@t773)) % 1.31/1.53 (step @p4961 :rule eq_resolve :premises (@p4960 @p4959)) % 1.31/1.53 (step @p4962 :rule refl :args (@t772)) % 1.31/1.53 (step @p4963 :rule cong :premises (@p4962 @p4934) :args ((= @t772 @t2048))) % 1.31/1.53 (step @p4964 :rule symm :premises (@p4963)) % 1.31/1.53 (step @p4965 :rule eq_resolve :premises (@p4962 @p4964)) % 1.31/1.53 (step @p4966 :rule ho_cong :premises (@p4956 @p4965)) % 1.31/1.53 (step @p4967 :rule trans :premises (@p4966 @p4961)) % 1.31/1.53 (step @p4968 :rule ho_cong :premises (@p4943 @p4967)) % 1.31/1.53 (step @p4969 :rule ho_cong :premises (@p4968 @p314)) % 1.31/1.53 (step @p4970 :rule trans :premises (@p4969 @p4955)) % 1.31/1.53 (step @p4971 :rule refl :args (@t746)) % 1.31/1.53 (step @p4972 :rule cong :premises (@p4971 @p4940) :args ((= @t746 @t2051))) % 1.31/1.53 (step @p4973 :rule symm :premises (@p4972)) % 1.31/1.53 (step @p4974 :rule eq_resolve :premises (@p4971 @p4973)) % 1.31/1.53 (step @p4975 :rule ho_cong :premises (@p4943 @p4974)) % 1.31/1.53 (step @p4976 :rule ho_cong :premises (@p4975 @p4970)) % 1.31/1.53 (step @p4977 :rule trans :premises (@p4976 @p4949)) % 1.31/1.53 (step @p4978 :rule refl :args ((tptp.setadjoin @t279 @t619))) % 1.31/1.53 (step @p4979 :rule refl :args ((tptp.setadjoin @t293 tptp.emptyset))) % 1.31/1.53 (step @p4980 :rule cong :premises (@p2231 @p314) :args (@t2055)) % 1.31/1.53 (step @p4981 :rule trans :premises (@p4980 @p4979)) % 1.31/1.53 (step @p4982 :rule cong :premises (@p2660 @p4981) :args (@t2056)) % 1.31/1.53 (step @p4983 :rule trans :premises (@p4982 @p4978)) % 1.31/1.53 (step @p4984 :rule ho_cong :premises (@p4943 @p2660)) % 1.31/1.53 (step @p4985 :rule ho_cong :premises (@p4984 @p4981)) % 1.31/1.53 (step @p4986 :rule cong :premises (@p4985 @p4983) :args ((= (_ @t4028 @t2055) @t2056))) % 1.31/1.53 (step @p4987 :rule symm :premises (@p4986)) % 1.31/1.53 (step @p4988 :rule refl :args (@t621)) % 1.31/1.53 (step @p4989 :rule eq_resolve :premises (@p4988 @p4987)) % 1.31/1.53 (step @p4990 :rule ho_cong :premises (@p4943 @p2231)) % 1.31/1.53 (step @p4991 :rule ho_cong :premises (@p4990 @p314)) % 1.31/1.53 (step @p4992 :rule cong :premises (@p4991 @p4981) :args ((= (_ (_ tptp.setadjoin @t2054) tptp.emptyset) @t2055))) % 1.31/1.53 (step @p4993 :rule symm :premises (@p4992)) % 1.31/1.53 (step @p4994 :rule refl :args (@t619)) % 1.31/1.53 (step @p4995 :rule eq_resolve :premises (@p4994 @p4993)) % 1.31/1.53 (step @p4996 :rule ho_cong :premises (@p4943 @p2252)) % 1.31/1.53 (step @p4997 :rule ho_cong :premises (@p4996 @p314)) % 1.31/1.53 (step @p4998 :rule trans :premises (@p4997 @p4995)) % 1.31/1.53 (step @p4999 :rule ho_cong :premises (@p4943 @p2664)) % 1.31/1.53 (step @p5000 :rule ho_cong :premises (@p4999 @p4998)) % 1.31/1.53 (step @p5001 :rule trans :premises (@p5000 @p4989)) % 1.31/1.53 (step @p5002 :rule cong :premises (@p5001 @p4977) :args (@t776)) % 1.31/1.53 (step @p5003 :rule cong :premises (@p5002) :args (@t4029)) % 1.31/1.53 (step @p5004 :rule nary_cong :premises (@p5003 @p4914) :args (@t4030)) % 1.31/1.53 (step @p5005 :rule cong :premises (@p5004) :args ((forall @t777 @t4030))) % 1.31/1.53 (step @p5006 :rule bool-impl-elim :args (@t776 @t791)) % 1.31/1.53 (step @p5007 :rule cong :premises (@p5006) :args (@t798)) % 1.31/1.53 (step @p5008 :rule trans :premises (@p5007 @p5005)) % 1.31/1.53 (step @p5009 :rule refl :args (tptp.setukpairinjR2)) % 1.31/1.53 (step @p5010 :rule cong :premises (@p5009 @p5008) :args (@t799)) % 1.31/1.53 (step @p5011 :rule eq_resolve :premises (@p170 @p5010)) % 1.31/1.53 (step @p5012 :rule cong :premises (@p5011 @p4930) :args (@t4031)) % 1.31/1.53 (step @p5013 :rule cong :premises (@p2252 @p4974) :args (@t795)) % 1.31/1.53 (step @p5014 :rule cong :premises (@p5013) :args (@t4032)) % 1.31/1.53 (step @p5015 :rule nary_cong :premises (@p5014 @p3950) :args (@t4033)) % 1.31/1.53 (step @p5016 :rule cong :premises (@p5015) :args ((forall @t297 @t4033))) % 1.31/1.53 (step @p5017 :rule bool-impl-elim :args (@t795 @t129)) % 1.31/1.53 (step @p5018 :rule cong :premises (@p5017) :args (@t796)) % 1.31/1.53 (step @p5019 :rule trans :premises (@p5018 @p5016)) % 1.31/1.53 (step @p5020 :rule refl :args (tptp.upairequniteq)) % 1.31/1.53 (step @p5021 :rule cong :premises (@p5020 @p5019) :args (@t797)) % 1.31/1.53 (step @p5022 :rule eq_resolve :premises (@p169 @p5021)) % 1.31/1.53 (step @p5023 :rule cong :premises (@p5022 @p5012) :args (@t4034)) % 1.31/1.53 (step @p5024 :rule aci_norm :args ((= (or @t2060 false @t791) @t2061))) % 1.31/1.53 (step @p5025 :rule refl :args (@t791)) % 1.31/1.53 (step @p5026 :rule eq-refl :args (@t383)) % 1.31/1.53 (step @p5027 :rule cong :premises (@p5026) :args (@t4035)) % 1.31/1.53 (step @p5028 :rule trans :premises (@p5027 @p2363)) % 1.31/1.53 (step @p5029 :rule refl :args (@t2060)) % 1.31/1.53 (step @p5030 :rule nary_cong :premises (@p5029 @p5028 @p5025) :args (@t4036)) % 1.31/1.53 (step @p5031 :rule trans :premises (@p5030 @p5024)) % 1.31/1.53 (step @p5032 :rule cong :premises (@p5031) :args ((forall @t2062 @t4036))) % 1.31/1.53 (step @p5033 :rule quant-var-elim-eq :args ((= (forall @t1065 @t4038) @t4036))) % 1.31/1.53 (step @p5034 :rule aci_norm :args ((= @t4039 @t4038))) % 1.31/1.53 (step @p5035 :rule cong :premises (@p5034) :args (@t4040)) % 1.31/1.53 (step @p5036 :rule trans :premises (@p5035 @p5033)) % 1.31/1.53 (step @p5037 :rule cong :premises (@p5036) :args (@t4041)) % 1.31/1.53 (step @p5038 :rule quant-merge-prenex :args ((= @t4041 @t4042))) % 1.31/1.53 (step @p5039 :rule symm :premises (@p5038)) % 1.31/1.53 (step @p5040 :rule quant_var_reordering :args ((= (forall @t777 @t4039) @t4042))) % 1.31/1.53 (step @p5041 :rule trans :premises (@p5040 @p5039 @p5037)) % 1.31/1.53 (step @p5042 :rule trans :premises (@p5041 @p5032)) % 1.31/1.53 (step @p5043 :rule refl :args (@t4037)) % 1.31/1.53 (step @p5044 :rule nary_cong :premises (@p5003 @p5043 @p4914) :args (@t4043)) % 1.31/1.53 (step @p5045 :rule cong :premises (@p5044) :args ((forall @t777 @t4043))) % 1.31/1.53 (step @p5046 :rule trans :premises (@p5045 @p5042)) % 1.31/1.53 (step @p5047 :rule aci_norm :args ((= (or @t4029 (or @t4037 @t791)) @t4043))) % 1.31/1.53 (step @p5048 :rule bool-impl-elim :args (@t387 @t791)) % 1.31/1.53 (step @p5049 :rule refl :args (@t4029)) % 1.31/1.53 (step @p5050 :rule nary_cong :premises (@p5049 @p5048) :args ((or @t4029 @t792))) % 1.31/1.53 (step @p5051 :rule trans :premises (@p5050 @p5047)) % 1.31/1.53 (step @p5052 :rule bool-impl-elim :args (@t776 @t792)) % 1.31/1.53 (step @p5053 :rule trans :premises (@p5052 @p5051)) % 1.31/1.53 (step @p5054 :rule cong :premises (@p5053) :args (@t793)) % 1.31/1.53 (step @p5055 :rule trans :premises (@p5054 @p5046)) % 1.31/1.53 (step @p5056 :rule refl :args (tptp.setukpairinjR1)) % 1.31/1.53 (step @p5057 :rule cong :premises (@p5056 @p5055) :args (@t794)) % 1.31/1.53 (step @p5058 :rule eq_resolve :premises (@p168 @p5057)) % 1.31/1.53 (step @p5059 :rule cong :premises (@p5058 @p5023) :args (@t4044)) % 1.31/1.53 (step @p5060 :rule aci_norm :args ((= (or false @t2065) @t2065))) % 1.31/1.53 (step @p5061 :rule refl :args (@t2065)) % 1.31/1.53 (step @p5062 :rule eq-refl :args (@t19)) % 1.31/1.53 (step @p5063 :rule cong :premises (@p5062) :args (@t4045)) % 1.31/1.53 (step @p5064 :rule trans :premises (@p5063 @p2363)) % 1.31/1.53 (step @p5065 :rule nary_cong :premises (@p5064 @p5061) :args (@t4046)) % 1.31/1.53 (step @p5066 :rule trans :premises (@p5065 @p5060)) % 1.31/1.53 (step @p5067 :rule cong :premises (@p5066) :args ((forall @t70 @t4046))) % 1.31/1.53 (step @p5068 :rule quant-var-elim-eq :args ((= (forall @t9 @t4049) @t4046))) % 1.31/1.53 (step @p5069 :rule aci_norm :args ((= @t4050 @t4049))) % 1.31/1.53 (step @p5070 :rule cong :premises (@p5069) :args (@t4051)) % 1.31/1.53 (step @p5071 :rule trans :premises (@p5070 @p5068)) % 1.31/1.53 (step @p5072 :rule cong :premises (@p5071) :args (@t4052)) % 1.31/1.53 (step @p5073 :rule quant-merge-prenex :args ((= @t4052 @t4054))) % 1.31/1.53 (step @p5074 :rule symm :premises (@p5073)) % 1.31/1.53 (step @p5075 :rule quant_var_reordering :args ((= (forall @t135 @t4050) @t4054))) % 1.31/1.53 (step @p5076 :rule trans :premises (@p5075 @p5074 @p5072)) % 1.31/1.53 (step @p5077 :rule trans :premises (@p5076 @p5067)) % 1.31/1.53 (step @p5078 :rule refl :args ((tptp.setadjoin @t279 tptp.emptyset))) % 1.31/1.53 (step @p5079 :rule cong :premises (@p2660 @p314) :args (@t4047)) % 1.31/1.53 (step @p5080 :rule trans :premises (@p5079 @p5078)) % 1.31/1.53 (step @p5081 :rule ho_cong :premises (@p4984 @p314)) % 1.31/1.53 (step @p5082 :rule cong :premises (@p5081 @p5080) :args ((= (_ @t4028 tptp.emptyset) @t4047))) % 1.31/1.53 (step @p5083 :rule symm :premises (@p5082)) % 1.31/1.53 (step @p5084 :rule refl :args (@t787)) % 1.31/1.53 (step @p5085 :rule eq_resolve :premises (@p5084 @p5083)) % 1.31/1.53 (step @p5086 :rule ho_cong :premises (@p4999 @p314)) % 1.31/1.53 (step @p5087 :rule trans :premises (@p5086 @p5085)) % 1.31/1.53 (step @p5088 :rule cong :premises (@p5001 @p5087) :args (@t788)) % 1.31/1.53 (step @p5089 :rule refl :args (@t282)) % 1.31/1.53 (step @p5090 :rule nary_cong :premises (@p5089 @p5088) :args (@t4055)) % 1.31/1.53 (step @p5091 :rule cong :premises (@p5090) :args ((forall @t135 @t4055))) % 1.31/1.53 (step @p5092 :rule trans :premises (@p5091 @p5077)) % 1.31/1.53 (step @p5093 :rule bool-impl-elim :args (@t129 @t788)) % 1.31/1.53 (step @p5094 :rule cong :premises (@p5093) :args (@t789)) % 1.31/1.53 (step @p5095 :rule trans :premises (@p5094 @p5092)) % 1.31/1.53 (step @p5096 :rule refl :args (tptp.setukpairinjR12)) % 1.31/1.53 (step @p5097 :rule cong :premises (@p5096 @p5095) :args (@t790)) % 1.31/1.53 (step @p5098 :rule eq_resolve :premises (@p167 @p5097)) % 1.31/1.53 (step @p5099 :rule cong :premises (@p5098 @p5059) :args (@t4056)) % 1.31/1.53 (step @p5100 :rule aci_norm :args ((= (or false @t2067) @t2067))) % 1.31/1.53 (step @p5101 :rule refl :args (@t2067)) % 1.31/1.53 (step @p5102 :rule nary_cong :premises (@p5064 @p5101) :args (@t4057)) % 1.31/1.53 (step @p5103 :rule trans :premises (@p5102 @p5100)) % 1.31/1.53 (step @p5104 :rule cong :premises (@p5103) :args ((forall @t70 @t4057))) % 1.31/1.53 (step @p5105 :rule quant-var-elim-eq :args ((= (forall @t9 @t4059) @t4057))) % 1.31/1.53 (step @p5106 :rule aci_norm :args ((= @t4060 @t4059))) % 1.31/1.53 (step @p5107 :rule cong :premises (@p5106) :args (@t4061)) % 1.31/1.53 (step @p5108 :rule trans :premises (@p5107 @p5105)) % 1.31/1.53 (step @p5109 :rule cong :premises (@p5108) :args (@t4062)) % 1.31/1.53 (step @p5110 :rule quant-merge-prenex :args ((= @t4062 @t4063))) % 1.31/1.53 (step @p5111 :rule symm :premises (@p5110)) % 1.31/1.53 (step @p5112 :rule quant_var_reordering :args ((= (forall @t135 @t4060) @t4063))) % 1.31/1.53 (step @p5113 :rule trans :premises (@p5112 @p5111 @p5109)) % 1.31/1.53 (step @p5114 :rule trans :premises (@p5113 @p5104)) % 1.31/1.53 (step @p5115 :rule cong :premises (@p2664 @p2252) :args (@t4064)) % 1.31/1.53 (step @p5116 :rule nary_cong :premises (@p5089 @p5115) :args (@t4065)) % 1.31/1.53 (step @p5117 :rule cong :premises (@p5116) :args ((forall @t135 @t4065))) % 1.31/1.53 (step @p5118 :rule trans :premises (@p5117 @p5114)) % 1.31/1.53 (step @p5119 :rule bool-impl-elim :args (@t129 @t4064)) % 1.31/1.53 (step @p5120 :rule cong :premises (@p5119) :args ((forall @t135 (=> @t129 @t4064)))) % 1.31/1.53 (step @p5121 :rule trans :premises (@p5120 @p5118)) % 1.31/1.53 (step @p5122 :rule eq-symm :args (@t293 @t279)) % 1.31/1.53 (step @p5123 :rule refl :args (@t129)) % 1.31/1.53 (step @p5124 :rule cong :premises (@p5123 @p5122) :args (@t784)) % 1.31/1.53 (step @p5125 :rule cong :premises (@p5124) :args (@t785)) % 1.31/1.53 (step @p5126 :rule trans :premises (@p5125 @p5121)) % 1.31/1.53 (step @p5127 :rule refl :args (tptp.setukpairinjR11)) % 1.31/1.53 (step @p5128 :rule cong :premises (@p5127 @p5126) :args (@t786)) % 1.31/1.53 (step @p5129 :rule eq_resolve :premises (@p166 @p5128)) % 1.31/1.53 (step @p5130 :rule cong :premises (@p5129 @p5099) :args (@t4066)) % 1.31/1.53 (step @p5131 :rule refl :args (@t744)) % 1.31/1.53 (step @p5132 :rule nary_cong :premises (@p4921 @p5131) :args (@t4067)) % 1.31/1.53 (step @p5133 :rule cong :premises (@p5132) :args ((forall @t777 @t4067))) % 1.31/1.53 (step @p5134 :rule bool-impl-elim :args (@t781 @t744)) % 1.31/1.53 (step @p5135 :rule cong :premises (@p5134) :args (@t782)) % 1.31/1.53 (step @p5136 :rule trans :premises (@p5135 @p5133)) % 1.31/1.53 (step @p5137 :rule refl :args (tptp.setukpairinjL)) % 1.31/1.53 (step @p5138 :rule cong :premises (@p5137 @p5136) :args (@t783)) % 1.31/1.53 (step @p5139 :rule eq_resolve :premises (@p165 @p5138)) % 1.31/1.53 (step @p5140 :rule cong :premises (@p5139 @p5130) :args (@t4068)) % 1.31/1.53 (step @p5141 :rule nary_cong :premises (@p5003 @p5131) :args (@t4069)) % 1.31/1.53 (step @p5142 :rule cong :premises (@p5141) :args ((forall @t777 @t4069))) % 1.31/1.53 (step @p5143 :rule bool-impl-elim :args (@t776 @t744)) % 1.31/1.53 (step @p5144 :rule cong :premises (@p5143) :args (@t778)) % 1.31/1.53 (step @p5145 :rule trans :premises (@p5144 @p5142)) % 1.31/1.53 (step @p5146 :rule refl :args (tptp.setukpairinjL2)) % 1.31/1.53 (step @p5147 :rule cong :premises (@p5146 @p5145) :args (@t779)) % 1.31/1.53 (step @p5148 :rule eq_resolve :premises (@p164 @p5147)) % 1.31/1.53 (step @p5149 :rule cong :premises (@p5148 @p5140) :args (@t4070)) % 1.31/1.53 (step @p5150 :rule refl :args ((tptp.in @t768 @t2))) % 1.31/1.53 (step @p5151 :rule cong :premises (@p4626 @p983) :args (@t2071)) % 1.31/1.53 (step @p5152 :rule trans :premises (@p5151 @p5150)) % 1.31/1.53 (step @p5153 :rule ho_cong :premises (@p990 @p4626)) % 1.31/1.53 (step @p5154 :rule ho_cong :premises (@p5153 @p983)) % 1.31/1.53 (step @p5155 :rule cong :premises (@p5154 @p5152) :args ((= (_ (_ tptp.in @t2008) @t2) @t2071))) % 1.31/1.53 (step @p5156 :rule symm :premises (@p5155)) % 1.31/1.53 (step @p5157 :rule refl :args (@t769)) % 1.31/1.53 (step @p5158 :rule eq_resolve :premises (@p5157 @p5156)) % 1.31/1.53 (step @p5159 :rule ho_cong :premises (@p990 @p4643)) % 1.31/1.53 (step @p5160 :rule ho_cong :premises (@p5159 @p983)) % 1.31/1.53 (step @p5161 :rule trans :premises (@p5160 @p5158)) % 1.31/1.53 (step @p5162 :rule nary_cong :premises (@p4660 @p5161) :args (@t4071)) % 1.31/1.53 (step @p5163 :rule cong :premises (@p5162) :args ((forall @t689 @t4071))) % 1.31/1.53 (step @p5164 :rule bool-impl-elim :args (@t687 @t769)) % 1.31/1.53 (step @p5165 :rule cong :premises (@p5164) :args (@t770)) % 1.31/1.53 (step @p5166 :rule trans :premises (@p5165 @p5163)) % 1.31/1.53 (step @p5167 :rule refl :args (tptp.cartprodfstin)) % 1.31/1.53 (step @p5168 :rule cong :premises (@p5167 @p5166) :args (@t771)) % 1.31/1.53 (step @p5169 :rule eq_resolve :premises (@p163 @p5168)) % 1.31/1.53 (step @p5170 :rule cong :premises (@p5169 @p5149) :args (@t4072)) % 1.31/1.53 (step @p5171 :rule cong :premises (@p4750) :args ((forall @t135 @t4007))) % 1.31/1.53 (step @p5172 :rule cong :premises (@p4756) :args (@t766)) % 1.31/1.53 (step @p5173 :rule trans :premises (@p5172 @p5171)) % 1.31/1.53 (step @p5174 :rule refl :args (tptp.kfstpairEq)) % 1.31/1.53 (step @p5175 :rule cong :premises (@p5174 @p5173) :args (@t767)) % 1.31/1.53 (step @p5176 :rule eq_resolve :premises (@p162 @p5175)) % 1.31/1.53 (step @p5177 :rule cong :premises (@p5176 @p5170) :args (@t4073)) % 1.31/1.53 (step @p5178 :rule refl :args ((tptp.in @t759 @t695))) % 1.31/1.53 (step @p5179 :rule cong :premises (@p2466 @p783) :args (@t2076)) % 1.31/1.53 (step @p5180 :rule trans :premises (@p5179 @p5178)) % 1.31/1.53 (step @p5181 :rule ho_cong :premises (@p990 @p2466)) % 1.31/1.53 (step @p5182 :rule ho_cong :premises (@p5181 @p783)) % 1.31/1.53 (step @p5183 :rule cong :premises (@p5182 @p5180) :args ((= (_ (_ tptp.in @t1784) @t695) @t2076))) % 1.31/1.53 (step @p5184 :rule symm :premises (@p5183)) % 1.31/1.53 (step @p5185 :rule refl :args (@t760)) % 1.31/1.53 (step @p5186 :rule eq_resolve :premises (@p5185 @p5184)) % 1.31/1.53 (step @p5187 :rule ho_cong :premises (@p990 @p2470)) % 1.31/1.53 (step @p5188 :rule ho_cong :premises (@p5187 @p783)) % 1.31/1.53 (step @p5189 :rule trans :premises (@p5188 @p5186)) % 1.31/1.53 (step @p5190 :rule nary_cong :premises (@p2459 @p5189) :args (@t4074)) % 1.31/1.53 (step @p5191 :rule cong :premises (@p5190) :args ((forall @t700 @t4074))) % 1.31/1.53 (step @p5192 :rule bool-impl-elim :args (@t761 @t760)) % 1.31/1.53 (step @p5193 :rule cong :premises (@p5192) :args (@t762)) % 1.31/1.53 (step @p5194 :rule trans :premises (@p5193 @p5191)) % 1.31/1.53 (step @p5195 :rule refl :args (tptp.theprop)) % 1.31/1.53 (step @p5196 :rule cong :premises (@p5195 @p5194) :args (@t763)) % 1.31/1.53 (step @p5197 :rule eq_resolve :premises (@p161 @p5196)) % 1.31/1.53 (step @p5198 :rule cong :premises (@p5197 @p5177) :args (@t4075)) % 1.31/1.53 (step @p5199 :rule refl :args ((tptp.singleton @t754))) % 1.31/1.53 (step @p5200 :rule refl :args ((tptp.dsetconstr @t752 @t751))) % 1.31/1.53 (step @p5201 :rule refl :args ((tptp.in @t279 @t383))) % 1.31/1.53 (step @p5202 :rule cong :premises (@p2660 @p4647) :args (@t2078)) % 1.31/1.53 (step @p5203 :rule trans :premises (@p5202 @p5201)) % 1.31/1.53 (step @p5204 :rule cong :premises (@p5203) :args (@t2079)) % 1.31/1.53 (step @p5205 :rule cong :premises (@p4870 @p5204) :args (@t2080)) % 1.31/1.53 (step @p5206 :rule trans :premises (@p5205 @p5200)) % 1.31/1.53 (step @p5207 :rule cong :premises (@p5206) :args (@t2081)) % 1.31/1.53 (step @p5208 :rule trans :premises (@p5207 @p5199)) % 1.31/1.53 (step @p5209 :rule ho_cong :premises (@p2563 @p5206)) % 1.31/1.53 (step @p5210 :rule cong :premises (@p5209 @p5208) :args ((= (_ tptp.singleton @t2080) @t2081))) % 1.31/1.53 (step @p5211 :rule symm :premises (@p5210)) % 1.31/1.53 (step @p5212 :rule refl :args (@t755)) % 1.31/1.53 (step @p5213 :rule eq_resolve :premises (@p5212 @p5211)) % 1.31/1.53 (step @p5214 :rule ho_cong :premises (@p4881 @p5204)) % 1.31/1.53 (step @p5215 :rule cong :premises (@p5214 @p5206) :args ((= (_ @t4022 @t2079) @t2080))) % 1.31/1.53 (step @p5216 :rule symm :premises (@p5215)) % 1.31/1.53 (step @p5217 :rule refl :args (@t754)) % 1.31/1.53 (step @p5218 :rule eq_resolve :premises (@p5217 @p5216)) % 1.31/1.53 (step @p5219 :rule ho_cong :premises (@p990 @p2660)) % 1.31/1.53 (step @p5220 :rule ho_cong :premises (@p5219 @p4647)) % 1.31/1.53 (step @p5221 :rule cong :premises (@p5220 @p5203) :args ((= (_ @t4076 @t383) @t2078))) % 1.31/1.53 (step @p5222 :rule symm :premises (@p5221)) % 1.31/1.53 (step @p5223 :rule refl :args (@t750)) % 1.31/1.53 (step @p5224 :rule eq_resolve :premises (@p5223 @p5222)) % 1.31/1.53 (step @p5225 :rule ho_cong :premises (@p990 @p2664)) % 1.31/1.53 (step @p5226 :rule ho_cong :premises (@p5225 @p4647)) % 1.31/1.53 (step @p5227 :rule trans :premises (@p5226 @p5224)) % 1.31/1.53 (step @p5228 :rule cong :premises (@p5227) :args (@t751)) % 1.31/1.53 (step @p5229 :rule ho_cong :premises (@p4900 @p5228)) % 1.31/1.53 (step @p5230 :rule trans :premises (@p5229 @p5218)) % 1.31/1.53 (step @p5231 :rule ho_cong :premises (@p2563 @p5230)) % 1.31/1.53 (step @p5232 :rule trans :premises (@p5231 @p5213)) % 1.31/1.53 (step @p5233 :rule nary_cong :premises (@p4842 @p5232) :args (@t4077)) % 1.31/1.53 (step @p5234 :rule cong :premises (@p5233) :args ((forall @t756 @t4077))) % 1.31/1.53 (step @p5235 :rule bool-impl-elim :args (@t692 @t755)) % 1.31/1.53 (step @p5236 :rule cong :premises (@p5235) :args (@t757)) % 1.31/1.53 (step @p5237 :rule trans :premises (@p5236 @p5234)) % 1.31/1.53 (step @p5238 :rule refl :args (tptp.kfstsingleton)) % 1.31/1.53 (step @p5239 :rule cong :premises (@p5238 @p5237) :args (@t758)) % 1.31/1.53 (step @p5240 :rule eq_resolve :premises (@p160 @p5239)) % 1.31/1.53 (step @p5241 :rule cong :premises (@p5240 @p5198) :args (@t4078)) % 1.31/1.53 (step @p5242 :rule refl :args ((tptp.in @t746 @t621))) % 1.31/1.53 (step @p5243 :rule cong :premises (@p4940 @p4983) :args (@t2083)) % 1.31/1.53 (step @p5244 :rule trans :premises (@p5243 @p5242)) % 1.31/1.53 (step @p5245 :rule ho_cong :premises (@p990 @p4940)) % 1.31/1.53 (step @p5246 :rule ho_cong :premises (@p5245 @p4983)) % 1.31/1.53 (step @p5247 :rule cong :premises (@p5246 @p5244) :args ((= (_ (_ tptp.in @t2051) @t2056) @t2083))) % 1.31/1.53 (step @p5248 :rule symm :premises (@p5247)) % 1.31/1.53 (step @p5249 :rule refl :args (@t747)) % 1.31/1.53 (step @p5250 :rule eq_resolve :premises (@p5249 @p5248)) % 1.31/1.53 (step @p5251 :rule ho_cong :premises (@p990 @p4974)) % 1.31/1.53 (step @p5252 :rule ho_cong :premises (@p5251 @p5001)) % 1.31/1.53 (step @p5253 :rule trans :premises (@p5252 @p5250)) % 1.31/1.53 (step @p5254 :rule cong :premises (@p5253) :args (@t4079)) % 1.31/1.53 (step @p5255 :rule nary_cong :premises (@p5254 @p5131) :args (@t4080)) % 1.31/1.53 (step @p5256 :rule cong :premises (@p5255) :args ((forall @t297 @t4080))) % 1.31/1.53 (step @p5257 :rule bool-impl-elim :args (@t747 @t744)) % 1.31/1.53 (step @p5258 :rule cong :premises (@p5257) :args (@t748)) % 1.31/1.53 (step @p5259 :rule trans :premises (@p5258 @p5256)) % 1.31/1.53 (step @p5260 :rule refl :args (tptp.setukpairinjL1)) % 1.31/1.53 (step @p5261 :rule cong :premises (@p5260 @p5259) :args (@t749)) % 1.31/1.53 (step @p5262 :rule eq_resolve :premises (@p159 @p5261)) % 1.31/1.53 (step @p5263 :rule cong :premises (@p5262 @p5241) :args (@t4081)) % 1.31/1.53 (step @p5264 :rule cong :premises (@p2250 @p2664) :args (@t4082)) % 1.31/1.53 (step @p5265 :rule cong :premises (@p5264) :args (@t4083)) % 1.31/1.53 (step @p5266 :rule nary_cong :premises (@p5265 @p3950) :args (@t4084)) % 1.31/1.53 (step @p5267 :rule cong :premises (@p5266) :args ((forall @t135 @t4084))) % 1.31/1.53 (step @p5268 :rule bool-impl-elim :args (@t4082 @t129)) % 1.31/1.53 (step @p5269 :rule cong :premises (@p5268) :args ((forall @t135 (=> @t4082 @t129)))) % 1.31/1.53 (step @p5270 :rule trans :premises (@p5269 @p5267)) % 1.31/1.53 (step @p5271 :rule eq-symm :args (@t279 @t275)) % 1.31/1.53 (step @p5272 :rule cong :premises (@p5271 @p5123) :args (@t741)) % 1.31/1.53 (step @p5273 :rule cong :premises (@p5272) :args (@t742)) % 1.31/1.53 (step @p5274 :rule trans :premises (@p5273 @p5270)) % 1.31/1.53 (step @p5275 :rule refl :args (tptp.singletonsuniq)) % 1.31/1.53 (step @p5276 :rule cong :premises (@p5275 @p5274) :args (@t743)) % 1.31/1.53 (step @p5277 :rule eq_resolve :premises (@p158 @p5276)) % 1.31/1.53 (step @p5278 :rule cong :premises (@p5277 @p5263) :args (@t4085)) % 1.31/1.53 (step @p5279 :rule aci_norm :args ((= @t4087 @t2099))) % 1.31/1.53 (step @p5280 :rule cong :premises (@p5279) :args (@t4088)) % 1.31/1.53 (step @p5281 :rule quant-merge-prenex :args ((= (forall @t311 @t4090) @t4088))) % 1.31/1.53 (step @p5282 :rule refl :args (@t1932)) % 1.31/1.53 (step @p5283 :rule alpha_equiv :args (@t4091 (@list @t2086) @t2833)) % 1.31/1.53 (step @p5284 :rule refl :args (@t2098)) % 1.31/1.53 (step @p5285 :rule nary_cong :premises (@p5284 @p5283 @p5282) :args (@t4092)) % 1.31/1.53 (step @p5286 :rule quant-miniscope-or :args ((= @t4090 @t4092))) % 1.31/1.53 (step @p5287 :rule trans :premises (@p5286 @p5285)) % 1.31/1.53 (step @p5288 :rule symm :premises (@p5287)) % 1.31/1.53 (step @p5289 :rule cong :premises (@p5288) :args ((forall @t311 (or @t2098 @t2109 @t1932)))) % 1.31/1.53 (step @p5290 :rule trans :premises (@p5289 @p5281)) % 1.31/1.53 (step @p5291 :rule trans :premises (@p5290 @p5280)) % 1.31/1.53 (step @p5292 :rule refl :args (@t2109)) % 1.31/1.53 (step @p5293 :rule refl :args (@t2098)) % 1.31/1.53 (step @p5294 :rule nary_cong :premises (@p5293 @p5292 @p3887) :args (@t4093)) % 1.31/1.53 (step @p5295 :rule cong :premises (@p5294) :args ((forall @t311 @t4093))) % 1.31/1.53 (step @p5296 :rule trans :premises (@p5295 @p5291)) % 1.31/1.53 (step @p5297 :rule refl :args (@t2109)) % 1.31/1.53 (step @p5298 :rule nary_cong :premises (@p5284 @p5297 @p3920) :args (@t4094)) % 1.31/1.53 (step @p5299 :rule cong :premises (@p5298) :args ((forall @t311 @t4094))) % 1.31/1.53 (step @p5300 :rule trans :premises (@p5299 @p5296)) % 1.31/1.53 (step @p5301 :rule aci_norm :args ((= (or @t2098 (or @t2109 @t716)) @t4094))) % 1.31/1.53 (step @p5302 :rule bool-double-not-elim :args (@t2109)) % 1.31/1.53 (step @p5303 :rule nary_cong :premises (@p5302 @p3904) :args ((or @t4095 @t716))) % 1.31/1.53 (step @p5304 :rule bool-impl-elim :args (@t2110 @t716)) % 1.31/1.53 (step @p5305 :rule trans :premises (@p5304 @p5303)) % 1.31/1.53 (step @p5306 :rule nary_cong :premises (@p5284 @p5305) :args ((or @t2098 @t4096))) % 1.31/1.53 (step @p5307 :rule trans :premises (@p5306 @p5301)) % 1.31/1.53 (step @p5308 :rule bool-impl-elim :args (@t2097 @t4096)) % 1.31/1.53 (step @p5309 :rule trans :premises (@p5308 @p5307)) % 1.31/1.53 (step @p5310 :rule cong :premises (@p5309) :args ((forall @t311 (=> @t2097 @t4096)))) % 1.31/1.53 (step @p5311 :rule trans :premises (@p5310 @p5300)) % 1.31/1.53 (step @p5312 :rule nary_cong :premises (@p936 @p3941) :args (@t4097)) % 1.31/1.53 (step @p5313 :rule cong :premises (@p5312) :args ((forall @t9 @t4097))) % 1.31/1.53 (step @p5314 :rule bool-and-de-morgan :args (@t7 @t144 true)) % 1.31/1.53 (step @p5315 :rule cong :premises (@p5314) :args (@t4098)) % 1.31/1.53 (step @p5316 :rule trans :premises (@p5315 @p5313)) % 1.31/1.53 (step @p5317 :rule cong :premises (@p5316) :args (@t4099)) % 1.31/1.53 (step @p5318 :rule exists-elim :args ((= @t309 @t4099))) % 1.31/1.53 (step @p5319 :rule trans :premises (@p5318 @p5317)) % 1.31/1.53 (step @p5320 :rule cong :premises (@p5319 @p3992) :args (@t4100)) % 1.31/1.53 (step @p5321 :rule cong :premises (@p3982 @p5320) :args (@t4101)) % 1.31/1.53 (step @p5322 :rule cong :premises (@p5321) :args (@t4102)) % 1.31/1.53 (step @p5323 :rule trans :premises (@p5322 @p5311)) % 1.31/1.53 (step @p5324 :rule refl :args (tptp.ex1I2)) % 1.31/1.53 (step @p5325 :rule cong :premises (@p5324 @p5323) :args ((= tptp.ex1I2 @t4102))) % 1.31/1.53 (step @p5326 :rule refl :args (@t309)) % 1.31/1.53 (step @p5327 :rule cong :premises (@p5326 @p4000) :args (@t737)) % 1.31/1.53 (step @p5328 :rule cong :premises (@p3998 @p5327) :args (@t738)) % 1.31/1.53 (step @p5329 :rule cong :premises (@p5328) :args (@t739)) % 1.31/1.53 (step @p5330 :rule cong :premises (@p5324 @p5329) :args (@t740)) % 1.31/1.53 (step @p5331 :rule trans :premises (@p5330 @p5325)) % 1.31/1.53 (step @p5332 :rule eq_resolve :premises (@p157 @p5331)) % 1.31/1.53 (step @p5333 :rule cong :premises (@p5332 @p5278) :args (@t4103)) % 1.31/1.53 (step @p5334 :rule lambda-elim :args ((= @t4107 @t143))) % 1.31/1.53 (step @p5335 :rule cong :premises (@p2535 @p5334) :args (@t4108)) % 1.31/1.53 (step @p5336 :rule cong :premises (@p5335) :args (@t4109)) % 1.31/1.53 (step @p5337 :rule refl :args (@t2107)) % 1.31/1.53 (step @p5338 :rule refl :args (@t2094)) % 1.31/1.53 (step @p5339 :rule nary_cong :premises (@p2364 @p5338 @p5337 @p5336) :args (@t4110)) % 1.31/1.53 (step @p5340 :rule cong :premises (@p5339) :args ((forall @t159 @t4110))) % 1.31/1.53 (step @p5341 :rule refl :args ((tptp.singleton @t4113))) % 1.31/1.53 (step @p5342 :rule refl :args ((tptp.dsetconstr @t2 @t4112))) % 1.31/1.53 (step @p5343 :rule refl :args (@t4105)) % 1.31/1.53 (step @p5344 :rule cong :premises (@p5343) :args (@t4107)) % 1.31/1.53 (step @p5345 :rule cong :premises (@p983 @p5344) :args (@t4108)) % 1.31/1.53 (step @p5346 :rule trans :premises (@p5345 @p5342)) % 1.31/1.53 (step @p5347 :rule cong :premises (@p5346) :args (@t4109)) % 1.31/1.53 (step @p5348 :rule trans :premises (@p5347 @p5341)) % 1.31/1.53 (step @p5349 :rule ho_cong :premises (@p2563 @p5346)) % 1.31/1.53 (step @p5350 :rule cong :premises (@p5349 @p5348) :args ((= (_ tptp.singleton @t4108) @t4109))) % 1.31/1.53 (step @p5351 :rule symm :premises (@p5350)) % 1.31/1.53 (step @p5352 :rule refl :args (@t4114)) % 1.31/1.53 (step @p5353 :rule eq_resolve :premises (@p5352 @p5351)) % 1.31/1.53 (step @p5354 :rule ho_cong :premises (@p3906 @p5344)) % 1.31/1.53 (step @p5355 :rule cong :premises (@p5354 @p5346) :args ((= (_ @t155 @t4107) @t4108))) % 1.31/1.53 (step @p5356 :rule symm :premises (@p5355)) % 1.31/1.53 (step @p5357 :rule refl :args (@t4113)) % 1.31/1.53 (step @p5358 :rule eq_resolve :premises (@p5357 @p5356)) % 1.31/1.53 (step @p5359 :rule refl :args (@t4111)) % 1.31/1.53 (step @p5360 :rule cong :premises (@p5359 @p5343) :args ((= @t4111 @t4105))) % 1.31/1.53 (step @p5361 :rule symm :premises (@p5360)) % 1.31/1.53 (step @p5362 :rule eq_resolve :premises (@p5359 @p5361)) % 1.31/1.53 (step @p5363 :rule cong :premises (@p5362) :args (@t4112)) % 1.31/1.53 (step @p5364 :rule ho_cong :premises (@p3906 @p5363)) % 1.31/1.53 (step @p5365 :rule trans :premises (@p5364 @p5358)) % 1.31/1.53 (step @p5366 :rule ho_cong :premises (@p2563 @p5365)) % 1.31/1.53 (step @p5367 :rule trans :premises (@p5366 @p5353)) % 1.31/1.53 (step @p5368 :rule refl :args (@t2107)) % 1.31/1.53 (step @p5369 :rule nary_cong :premises (@p936 @p3941 @p5368 @p5367) :args (@t4115)) % 1.31/1.53 (step @p5370 :rule cong :premises (@p5369) :args ((forall @t159 @t4115))) % 1.31/1.53 (step @p5371 :rule trans :premises (@p5370 @p5340)) % 1.31/1.53 (step @p5372 :rule aci_norm :args ((= (or @t197 @t4116) @t4115))) % 1.31/1.53 (step @p5373 :rule aci_norm :args ((= (or @t317 (or @t2107 @t4114)) @t4116))) % 1.31/1.53 (step @p5374 :rule bool-impl-elim :args (@t2106 @t4114)) % 1.31/1.53 (step @p5375 :rule nary_cong :premises (@p3969 @p5374) :args ((or @t317 @t4117))) % 1.31/1.53 (step @p5376 :rule trans :premises (@p5375 @p5373)) % 1.31/1.53 (step @p5377 :rule bool-impl-elim :args (@t144 @t4117)) % 1.31/1.53 (step @p5378 :rule trans :premises (@p5377 @p5376)) % 1.31/1.53 (step @p5379 :rule nary_cong :premises (@p941 @p5378) :args ((or @t197 @t4118))) % 1.31/1.53 (step @p5380 :rule trans :premises (@p5379 @p5372)) % 1.31/1.53 (step @p5381 :rule bool-impl-elim :args (@t7 @t4118)) % 1.31/1.53 (step @p5382 :rule trans :premises (@p5381 @p5380)) % 1.31/1.53 (step @p5383 :rule cong :premises (@p5382) :args ((forall @t159 (=> @t7 @t4118)))) % 1.31/1.53 (step @p5384 :rule trans :premises (@p5383 @p5371)) % 1.31/1.53 (step @p5385 :rule alpha_equiv :args (@t145 @t2833 (@list @t4104))) % 1.31/1.53 (step @p5386 :rule ho_cong :premises (@p3906 @p5385)) % 1.31/1.53 (step @p5387 :rule ho_cong :premises (@p2563 @p5386)) % 1.31/1.53 (step @p5388 :rule cong :premises (@p3940 @p5387) :args (@t4119)) % 1.31/1.53 (step @p5389 :rule cong :premises (@p3912 @p5388) :args (@t4120)) % 1.31/1.53 (step @p5390 :rule cong :premises (@p932 @p5389) :args (@t4121)) % 1.31/1.53 (step @p5391 :rule cong :premises (@p5390) :args ((forall @t159 @t4121))) % 1.31/1.53 (step @p5392 :rule trans :premises (@p5391 @p5384)) % 1.31/1.53 (step @p5393 :rule beta-reduce :args ((= @t4122 @t144))) % 1.31/1.53 (step @p5394 :rule cong :premises (@p5393) :args (@t4123)) % 1.31/1.53 (step @p5395 :rule ho_cong :premises (@p2586 @p5394)) % 1.31/1.53 (step @p5396 :rule ho_cong :premises (@p2588 @p5395)) % 1.31/1.53 (step @p5397 :rule beta-reduce :args ((= (_ @t3817 @t154) (_ tptp.singleton (_ @t155 @t4123))))) % 1.31/1.53 (step @p5398 :rule trans :premises (@p5397 @p5396)) % 1.31/1.53 (step @p5399 :rule refl :args (@t154)) % 1.31/1.53 (step @p5400 :rule ho_cong :premises (@p3990 @p5399)) % 1.31/1.53 (step @p5401 :rule trans :premises (@p5400 @p5398)) % 1.31/1.53 (step @p5402 :rule aci_norm :args ((= (or @t3257 @t3814) @t3808))) % 1.31/1.53 (step @p5403 :rule nary_cong :premises (@p2339 @p3968) :args ((or @t3257 @t166))) % 1.31/1.53 (step @p5404 :rule trans :premises (@p5403 @p5402)) % 1.31/1.53 (step @p5405 :rule bool-impl-elim :args (@t21 @t166)) % 1.31/1.53 (step @p5406 :rule trans :premises (@p5405 @p5404)) % 1.31/1.53 (step @p5407 :rule cong :premises (@p5406) :args ((forall @t70 (=> @t21 @t166)))) % 1.31/1.53 (step @p5408 :rule trans :premises (@p5407 @p3958)) % 1.31/1.53 (step @p5409 :rule eq-symm :args (@t19 @t4)) % 1.31/1.53 (step @p5410 :rule refl :args (@t153)) % 1.31/1.53 (step @p5411 :rule cong :premises (@p5410 @p5409) :args (@t729)) % 1.31/1.53 (step @p5412 :rule cong :premises (@p2349 @p5411) :args (@t730)) % 1.31/1.53 (step @p5413 :rule cong :premises (@p5412) :args (@t731)) % 1.31/1.53 (step @p5414 :rule trans :premises (@p5413 @p5408)) % 1.31/1.53 (step @p5415 :rule cong :premises (@p5414 @p5401) :args (@t4124)) % 1.31/1.53 (step @p5416 :rule refl :args (@t144)) % 1.31/1.53 (step @p5417 :rule cong :premises (@p5416 @p5415) :args (@t4125)) % 1.31/1.53 (step @p5418 :rule cong :premises (@p2271 @p5417) :args (@t4126)) % 1.31/1.53 (step @p5419 :rule cong :premises (@p5418) :args (@t4127)) % 1.31/1.53 (step @p5420 :rule trans :premises (@p5419 @p5392)) % 1.31/1.53 (step @p5421 :rule refl :args (tptp.ex1I)) % 1.31/1.53 (step @p5422 :rule cong :premises (@p5421 @p5420) :args ((= tptp.ex1I @t4127))) % 1.31/1.53 (step @p5423 :rule ho_cong :premises (@p3999 @p5399)) % 1.31/1.53 (step @p5424 :rule refl :args (@t731)) % 1.31/1.53 (step @p5425 :rule cong :premises (@p5424 @p5423) :args (@t732)) % 1.31/1.53 (step @p5426 :rule cong :premises (@p5416 @p5425) :args (@t733)) % 1.31/1.53 (step @p5427 :rule cong :premises (@p2271 @p5426) :args (@t734)) % 1.31/1.53 (step @p5428 :rule cong :premises (@p5427) :args (@t735)) % 1.31/1.53 (step @p5429 :rule cong :premises (@p5421 @p5428) :args (@t736)) % 1.31/1.53 (step @p5430 :rule trans :premises (@p5429 @p5422)) % 1.31/1.53 (step @p5431 :rule eq_resolve :premises (@p156 @p5430)) % 1.31/1.53 (step @p5432 :rule cong :premises (@p5431 @p5333) :args (@t4128)) % 1.31/1.53 (step @p5433 :rule refl :args (@t2110)) % 1.31/1.53 (step @p5434 :rule nary_cong :premises (@p3888 @p5433) :args (@t4129)) % 1.31/1.53 (step @p5435 :rule cong :premises (@p5434) :args ((forall @t311 @t4129))) % 1.31/1.53 (step @p5436 :rule refl :args (@t2110)) % 1.31/1.53 (step @p5437 :rule nary_cong :premises (@p3921 @p5436) :args (@t4130)) % 1.31/1.53 (step @p5438 :rule cong :premises (@p5437) :args ((forall @t311 @t4130))) % 1.31/1.53 (step @p5439 :rule trans :premises (@p5438 @p5435)) % 1.31/1.53 (step @p5440 :rule bool-impl-elim :args (@t716 @t2110)) % 1.31/1.53 (step @p5441 :rule cong :premises (@p5440) :args ((forall @t311 (=> @t716 @t2110)))) % 1.31/1.53 (step @p5442 :rule trans :premises (@p5441 @p5439)) % 1.31/1.53 (step @p5443 :rule cong :premises (@p3992 @p5319) :args (@t4131)) % 1.31/1.53 (step @p5444 :rule cong :premises (@p5443) :args (@t4132)) % 1.31/1.53 (step @p5445 :rule trans :premises (@p5444 @p5442)) % 1.31/1.53 (step @p5446 :rule refl :args (tptp.ex1E1)) % 1.31/1.53 (step @p5447 :rule cong :premises (@p5446 @p5445) :args ((= tptp.ex1E1 @t4132))) % 1.31/1.53 (step @p5448 :rule cong :premises (@p4000 @p5326) :args (@t726)) % 1.31/1.53 (step @p5449 :rule cong :premises (@p5448) :args (@t727)) % 1.31/1.53 (step @p5450 :rule cong :premises (@p5446 @p5449) :args (@t728)) % 1.31/1.53 (step @p5451 :rule trans :premises (@p5450 @p5447)) % 1.31/1.53 (step @p5452 :rule eq_resolve :premises (@p155 @p5451)) % 1.31/1.53 (step @p5453 :rule cong :premises (@p5452 @p5432) :args (@t4133)) % 1.31/1.53 (step @p5454 :rule refl :args (@t716)) % 1.31/1.53 (step @p5455 :rule cong :premises (@p5319 @p5454) :args (@t717)) % 1.31/1.53 (step @p5456 :rule cong :premises (@p3982 @p5455) :args (@t721)) % 1.31/1.53 (step @p5457 :rule cong :premises (@p5456) :args (@t722)) % 1.31/1.53 (step @p5458 :rule trans :premises (@p5457 @p5311)) % 1.31/1.53 (step @p5459 :rule refl :args (tptp.singletonprop)) % 1.31/1.53 (step @p5460 :rule cong :premises (@p5459 @p5458) :args (@t723)) % 1.31/1.53 (step @p5461 :rule eq_resolve :premises (@p154 @p5460)) % 1.31/1.53 (step @p5462 :rule cong :premises (@p5461 @p5453) :args (@t4134)) % 1.31/1.53 (step @p5463 :rule refl :args ((tptp.setunion @t279))) % 1.31/1.53 (step @p5464 :rule cong :premises (@p2660) :args (@t2112)) % 1.31/1.53 (step @p5465 :rule trans :premises (@p5464 @p5463)) % 1.31/1.53 (step @p5466 :rule ho_cong :premises (@p4348 @p2660)) % 1.31/1.53 (step @p5467 :rule cong :premises (@p5466 @p5465) :args ((= (_ tptp.setunion @t1799) @t2112))) % 1.31/1.53 (step @p5468 :rule symm :premises (@p5467)) % 1.31/1.53 (step @p5469 :rule refl :args (@t713)) % 1.31/1.53 (step @p5470 :rule eq_resolve :premises (@p5469 @p5468)) % 1.31/1.53 (step @p5471 :rule ho_cong :premises (@p4348 @p2664)) % 1.31/1.53 (step @p5472 :rule trans :premises (@p5471 @p5470)) % 1.31/1.53 (step @p5473 :rule cong :premises (@p914 @p5472) :args (@t4135)) % 1.31/1.53 (step @p5474 :rule cong :premises (@p5473) :args ((forall @t9 @t4135))) % 1.31/1.53 (step @p5475 :rule eq-symm :args (@t713 @t4)) % 1.31/1.53 (step @p5476 :rule cong :premises (@p5475) :args (@t714)) % 1.31/1.53 (step @p5477 :rule trans :premises (@p5476 @p5474)) % 1.31/1.53 (step @p5478 :rule refl :args (tptp.setunionsingleton)) % 1.31/1.53 (step @p5479 :rule cong :premises (@p5478 @p5477) :args (@t715)) % 1.31/1.53 (step @p5480 :rule eq_resolve :premises (@p153 @p5479)) % 1.31/1.53 (step @p5481 :rule cong :premises (@p5480 @p5462) :args (@t4136)) % 1.31/1.53 (step @p5482 :rule refl :args ((tptp.subset @t2 @t706))) % 1.31/1.53 (step @p5483 :rule refl :args ((tptp.setunion @t705))) % 1.31/1.53 (step @p5484 :rule refl :args (@t2114)) % 1.31/1.53 (step @p5485 :rule cong :premises (@p5484) :args (@t2115)) % 1.31/1.53 (step @p5486 :rule trans :premises (@p5485 @p5483)) % 1.31/1.53 (step @p5487 :rule cong :premises (@p983 @p5486) :args (@t2116)) % 1.31/1.53 (step @p5488 :rule trans :premises (@p5487 @p5482)) % 1.31/1.53 (step @p5489 :rule refl :args (@t421)) % 1.31/1.53 (step @p5490 :rule ho_cong :premises (@p5489 @p5486)) % 1.31/1.53 (step @p5491 :rule cong :premises (@p5490 @p5488) :args ((= (_ @t421 @t2115) @t2116))) % 1.31/1.53 (step @p5492 :rule symm :premises (@p5491)) % 1.31/1.53 (step @p5493 :rule refl :args (@t710)) % 1.31/1.53 (step @p5494 :rule eq_resolve :premises (@p5493 @p5492)) % 1.31/1.53 (step @p5495 :rule ho_cong :premises (@p4348 @p5484)) % 1.31/1.53 (step @p5496 :rule cong :premises (@p5495 @p5486) :args ((= (_ tptp.setunion @t2114) @t2115))) % 1.31/1.53 (step @p5497 :rule symm :premises (@p5496)) % 1.31/1.53 (step @p5498 :rule refl :args (@t706)) % 1.31/1.53 (step @p5499 :rule eq_resolve :premises (@p5498 @p5497)) % 1.31/1.53 (step @p5500 :rule refl :args (@t705)) % 1.31/1.53 (step @p5501 :rule cong :premises (@p5500 @p5484) :args ((= @t705 @t2114))) % 1.31/1.53 (step @p5502 :rule symm :premises (@p5501)) % 1.31/1.53 (step @p5503 :rule eq_resolve :premises (@p5500 @p5502)) % 1.31/1.53 (step @p5504 :rule ho_cong :premises (@p4348 @p5503)) % 1.31/1.53 (step @p5505 :rule trans :premises (@p5504 @p5499)) % 1.31/1.53 (step @p5506 :rule ho_cong :premises (@p5489 @p5505)) % 1.31/1.53 (step @p5507 :rule trans :premises (@p5506 @p5494)) % 1.31/1.53 (step @p5508 :rule cong :premises (@p5507) :args (@t711)) % 1.31/1.53 (step @p5509 :rule refl :args (tptp.setunionsingleton2)) % 1.31/1.53 (step @p5510 :rule cong :premises (@p5509 @p5508) :args (@t712)) % 1.31/1.53 (step @p5511 :rule eq_resolve :premises (@p152 @p5510)) % 1.31/1.53 (step @p5512 :rule cong :premises (@p5511 @p5481) :args (@t4137)) % 1.31/1.53 (step @p5513 :rule refl :args ((tptp.subset @t706 @t2))) % 1.31/1.53 (step @p5514 :rule cong :premises (@p5486 @p983) :args (@t2118)) % 1.31/1.53 (step @p5515 :rule trans :premises (@p5514 @p5513)) % 1.31/1.53 (step @p5516 :rule ho_cong :premises (@p1053 @p5486)) % 1.31/1.53 (step @p5517 :rule ho_cong :premises (@p5516 @p983)) % 1.31/1.53 (step @p5518 :rule cong :premises (@p5517 @p5515) :args ((= (_ (_ tptp.subset @t2115) @t2) @t2118))) % 1.31/1.53 (step @p5519 :rule symm :premises (@p5518)) % 1.31/1.53 (step @p5520 :rule refl :args (@t707)) % 1.31/1.53 (step @p5521 :rule eq_resolve :premises (@p5520 @p5519)) % 1.31/1.53 (step @p5522 :rule ho_cong :premises (@p1053 @p5505)) % 1.31/1.53 (step @p5523 :rule ho_cong :premises (@p5522 @p983)) % 1.31/1.53 (step @p5524 :rule trans :premises (@p5523 @p5521)) % 1.31/1.53 (step @p5525 :rule cong :premises (@p5524) :args (@t708)) % 1.31/1.53 (step @p5526 :rule refl :args (tptp.setunionsingleton1)) % 1.31/1.53 (step @p5527 :rule cong :premises (@p5526 @p5525) :args (@t709)) % 1.31/1.53 (step @p5528 :rule eq_resolve :premises (@p151 @p5527)) % 1.31/1.53 (step @p5529 :rule cong :premises (@p5528 @p5512) :args (@t4138)) % 1.31/1.53 (step @p5530 :rule refl :args (@t2121)) % 1.31/1.53 (step @p5531 :rule refl :args ((tptp.in @t4 @t43))) % 1.31/1.53 (step @p5532 :rule refl :args (@t2122)) % 1.31/1.53 (step @p5533 :rule cong :premises (@p914 @p5532) :args (@t2123)) % 1.31/1.53 (step @p5534 :rule trans :premises (@p5533 @p5531)) % 1.31/1.53 (step @p5535 :rule ho_cong :premises (@p917 @p5532)) % 1.31/1.53 (step @p5536 :rule cong :premises (@p5535 @p5534) :args ((= (_ @t5 @t2122) @t2123))) % 1.31/1.53 (step @p5537 :rule symm :premises (@p5536)) % 1.31/1.53 (step @p5538 :rule refl :args (@t44)) % 1.31/1.53 (step @p5539 :rule eq_resolve :premises (@p5538 @p5537)) % 1.31/1.53 (step @p5540 :rule refl :args (@t43)) % 1.31/1.53 (step @p5541 :rule cong :premises (@p5540 @p5532) :args ((= @t43 @t2122))) % 1.31/1.53 (step @p5542 :rule symm :premises (@p5541)) % 1.31/1.53 (step @p5543 :rule eq_resolve :premises (@p5540 @p5542)) % 1.31/1.53 (step @p5544 :rule ho_cong :premises (@p917 @p5543)) % 1.31/1.53 (step @p5545 :rule trans :premises (@p5544 @p5539)) % 1.31/1.53 (step @p5546 :rule cong :premises (@p5545) :args (@t4139)) % 1.31/1.53 (step @p5547 :rule nary_cong :premises (@p5546 @p5530) :args (@t4140)) % 1.31/1.53 (step @p5548 :rule cong :premises (@p5547) :args ((forall @t46 @t4140))) % 1.31/1.53 (step @p5549 :rule bool-impl-elim :args (@t44 @t2121)) % 1.31/1.53 (step @p5550 :rule cong :premises (@p5549) :args ((forall @t46 (=> @t44 @t2121)))) % 1.31/1.53 (step @p5551 :rule trans :premises (@p5550 @p5548)) % 1.31/1.53 (step @p5552 :rule refl :args (@t2120)) % 1.31/1.53 (step @p5553 :rule refl :args (@t698)) % 1.31/1.53 (step @p5554 :rule cong :premises (@p5553 @p5552) :args ((= @t698 @t2120))) % 1.31/1.53 (step @p5555 :rule symm :premises (@p5554)) % 1.31/1.53 (step @p5556 :rule eq_resolve :premises (@p5553 @p5555)) % 1.31/1.53 (step @p5557 :rule cong :premises (@p5556) :args (@t4141)) % 1.31/1.53 (step @p5558 :rule nary_cong :premises (@p5557 @p1338) :args (@t4142)) % 1.31/1.53 (step @p5559 :rule cong :premises (@p5558) :args ((forall @t700 @t4142))) % 1.31/1.53 (step @p5560 :rule bool-and-de-morgan :args (@t698 @t696 true)) % 1.31/1.53 (step @p5561 :rule cong :premises (@p5560) :args (@t4143)) % 1.31/1.53 (step @p5562 :rule trans :premises (@p5561 @p5559)) % 1.31/1.53 (step @p5563 :rule cong :premises (@p5562) :args (@t4144)) % 1.31/1.53 (step @p5564 :rule exists-elim :args ((= @t701 @t4144))) % 1.31/1.53 (step @p5565 :rule trans :premises (@p5564 @p5563)) % 1.31/1.53 (step @p5566 :rule refl :args (@t44)) % 1.31/1.53 (step @p5567 :rule cong :premises (@p5566 @p5565) :args (@t702)) % 1.31/1.53 (step @p5568 :rule cong :premises (@p5567) :args (@t703)) % 1.31/1.53 (step @p5569 :rule trans :premises (@p5568 @p5551)) % 1.31/1.53 (step @p5570 :rule refl :args (tptp.setunionE2)) % 1.31/1.53 (step @p5571 :rule cong :premises (@p5570 @p5569) :args (@t704)) % 1.31/1.53 (step @p5572 :rule eq_resolve :premises (@p150 @p5571)) % 1.31/1.53 (step @p5573 :rule cong :premises (@p5572 @p5529) :args (@t4145)) % 1.31/1.53 (step @p5574 :rule nary_cong :premises (@p4660 @p4841) :args (@t4146)) % 1.31/1.53 (step @p5575 :rule cong :premises (@p5574) :args ((forall @t689 @t4146))) % 1.31/1.53 (step @p5576 :rule bool-impl-elim :args (@t687 @t692)) % 1.31/1.53 (step @p5577 :rule cong :premises (@p5576) :args (@t693)) % 1.31/1.53 (step @p5578 :rule trans :premises (@p5577 @p5575)) % 1.31/1.53 (step @p5579 :rule refl :args (tptp.cartprodmempair)) % 1.31/1.53 (step @p5580 :rule cong :premises (@p5579 @p5578) :args (@t694)) % 1.31/1.53 (step @p5581 :rule eq_resolve :premises (@p149 @p5580)) % 1.31/1.53 (step @p5582 :rule cong :premises (@p5581 @p5573) :args (@t4147)) % 1.31/1.53 (step @p5583 :rule refl :args (@t2132)) % 1.31/1.53 (step @p5584 :rule nary_cong :premises (@p4660 @p5583) :args (@t4148)) % 1.31/1.53 (step @p5585 :rule cong :premises (@p5584) :args ((forall @t689 @t4148))) % 1.31/1.53 (step @p5586 :rule bool-impl-elim :args (@t687 @t2132)) % 1.31/1.53 (step @p5587 :rule cong :premises (@p5586) :args ((forall @t689 (=> @t687 @t2132)))) % 1.31/1.53 (step @p5588 :rule trans :premises (@p5587 @p5585)) % 1.31/1.53 (step @p5589 :rule aci_norm :args ((= @t4150 @t2130))) % 1.31/1.53 (step @p5590 :rule cong :premises (@p5589) :args (@t4151)) % 1.31/1.53 (step @p5591 :rule quant-merge-prenex :args ((= (forall @t9 @t4153) @t4151))) % 1.31/1.53 (step @p5592 :rule alpha_equiv :args (@t4154 (@list @t2127) @t3250)) % 1.31/1.53 (step @p5593 :rule nary_cong :premises (@p2212 @p5592) :args (@t4155)) % 1.31/1.53 (step @p5594 :rule quant-miniscope-or :args ((= @t4153 @t4155))) % 1.31/1.53 (step @p5595 :rule trans :premises (@p5594 @p5593)) % 1.31/1.53 (step @p5596 :rule symm :premises (@p5595)) % 1.31/1.53 (step @p5597 :rule cong :premises (@p5596) :args ((forall @t9 (or @t1730 @t4156)))) % 1.31/1.53 (step @p5598 :rule trans :premises (@p5597 @p5591)) % 1.31/1.53 (step @p5599 :rule trans :premises (@p5598 @p5590)) % 1.31/1.53 (step @p5600 :rule refl :args (@t4156)) % 1.31/1.53 (step @p5601 :rule nary_cong :premises (@p936 @p5600) :args (@t4157)) % 1.31/1.53 (step @p5602 :rule cong :premises (@p5601) :args ((forall @t9 @t4157))) % 1.31/1.53 (step @p5603 :rule trans :premises (@p5602 @p5599)) % 1.31/1.53 (step @p5604 :rule bool-double-not-elim :args (@t4156)) % 1.31/1.53 (step @p5605 :rule nary_cong :premises (@p941 @p5604) :args ((or @t197 (not @t4158)))) % 1.31/1.53 (step @p5606 :rule bool-and-de-morgan :args (@t7 @t4158 true)) % 1.31/1.53 (step @p5607 :rule trans :premises (@p5606 @p5605)) % 1.31/1.53 (step @p5608 :rule cong :premises (@p5607) :args (@t4160)) % 1.31/1.53 (step @p5609 :rule trans :premises (@p5608 @p5603)) % 1.31/1.53 (step @p5610 :rule cong :premises (@p5609) :args (@t4161)) % 1.31/1.53 (step @p5611 :rule exists-elim :args ((= (exists @t9 @t4159) @t4161))) % 1.31/1.53 (step @p5612 :rule trans :premises (@p5611 @p5610)) % 1.31/1.53 (step @p5613 :rule cong :premises (@p4647 @p3428) :args (@t681)) % 1.31/1.53 (step @p5614 :rule cong :premises (@p5613) :args (@t4162)) % 1.31/1.53 (step @p5615 :rule nary_cong :premises (@p3448 @p5614) :args (@t4163)) % 1.31/1.53 (step @p5616 :rule cong :premises (@p5615) :args ((forall @t70 @t4163))) % 1.31/1.53 (step @p5617 :rule bool-and-de-morgan :args (@t354 @t681 true)) % 1.31/1.53 (step @p5618 :rule cong :premises (@p5617) :args (@t4164)) % 1.31/1.53 (step @p5619 :rule trans :premises (@p5618 @p5616)) % 1.31/1.53 (step @p5620 :rule cong :premises (@p5619) :args (@t4165)) % 1.31/1.53 (step @p5621 :rule exists-elim :args ((= @t683 @t4165))) % 1.31/1.53 (step @p5622 :rule trans :premises (@p5621 @p5620)) % 1.31/1.53 (step @p5623 :rule nary_cong :premises (@p2271 @p5622) :args (@t684)) % 1.31/1.53 (step @p5624 :rule cong :premises (@p5623) :args (@t685)) % 1.31/1.53 (step @p5625 :rule trans :premises (@p5624 @p5612)) % 1.31/1.53 (step @p5626 :rule cong :premises (@p4667 @p5625) :args (@t688)) % 1.31/1.53 (step @p5627 :rule cong :premises (@p5626) :args (@t690)) % 1.31/1.53 (step @p5628 :rule trans :premises (@p5627 @p5588)) % 1.31/1.53 (step @p5629 :rule refl :args (tptp.cartprodmempair1)) % 1.31/1.53 (step @p5630 :rule cong :premises (@p5629 @p5628) :args (@t691)) % 1.31/1.53 (step @p5631 :rule eq_resolve :premises (@p148 @p5630)) % 1.31/1.53 (step @p5632 :rule cong :premises (@p5631 @p5582) :args (@t4166)) % 1.31/1.53 (step @p5633 :rule aci_norm :args ((= @t4168 @t2137))) % 1.31/1.53 (step @p5634 :rule cong :premises (@p5633) :args (@t4169)) % 1.31/1.53 (step @p5635 :rule quant-merge-prenex :args ((= (forall @t245 @t4171) @t4169))) % 1.31/1.53 (step @p5636 :rule alpha_equiv :args (@t4172 (@list @t2134) @t3250)) % 1.31/1.53 (step @p5637 :rule nary_cong :premises (@p2212 @p5636) :args (@t4173)) % 1.31/1.53 (step @p5638 :rule quant-miniscope-or :args ((= @t4171 @t4173))) % 1.31/1.53 (step @p5639 :rule trans :premises (@p5638 @p5637)) % 1.31/1.53 (step @p5640 :rule symm :premises (@p5639)) % 1.31/1.53 (step @p5641 :rule cong :premises (@p5640) :args ((forall @t245 (or @t1730 @t4174)))) % 1.31/1.53 (step @p5642 :rule trans :premises (@p5641 @p5635)) % 1.31/1.53 (step @p5643 :rule trans :premises (@p5642 @p5634)) % 1.31/1.53 (step @p5644 :rule refl :args (@t4174)) % 1.31/1.53 (step @p5645 :rule nary_cong :premises (@p936 @p5644) :args (@t4175)) % 1.31/1.53 (step @p5646 :rule cong :premises (@p5645) :args ((forall @t245 @t4175))) % 1.31/1.53 (step @p5647 :rule trans :premises (@p5646 @p5643)) % 1.31/1.53 (step @p5648 :rule bool-impl-elim :args (@t7 @t4174)) % 1.31/1.53 (step @p5649 :rule cong :premises (@p5648) :args ((forall @t245 (=> @t7 @t4174)))) % 1.31/1.53 (step @p5650 :rule trans :premises (@p5649 @p5647)) % 1.31/1.53 (step @p5651 :rule nary_cong :premises (@p3448 @p4796) :args (@t4176)) % 1.31/1.53 (step @p5652 :rule cong :premises (@p5651) :args ((forall @t70 @t4176))) % 1.31/1.53 (step @p5653 :rule bool-impl-elim :args (@t354 @t676)) % 1.31/1.53 (step @p5654 :rule cong :premises (@p5653) :args (@t677)) % 1.31/1.53 (step @p5655 :rule trans :premises (@p5654 @p5652)) % 1.31/1.53 (step @p5656 :rule cong :premises (@p2271 @p5655) :args (@t678)) % 1.31/1.53 (step @p5657 :rule cong :premises (@p5656) :args (@t679)) % 1.31/1.53 (step @p5658 :rule trans :premises (@p5657 @p5650)) % 1.31/1.53 (step @p5659 :rule refl :args (tptp.cartprodpairin)) % 1.31/1.53 (step @p5660 :rule cong :premises (@p5659 @p5658) :args (@t680)) % 1.31/1.53 (step @p5661 :rule eq_resolve :premises (@p147 @p5660)) % 1.31/1.53 (step @p5662 :rule cong :premises (@p5661 @p5632) :args (@t4177)) % 1.31/1.53 (step @p5663 :rule aci_norm :args ((= @t4179 @t2146))) % 1.31/1.53 (step @p5664 :rule cong :premises (@p5663) :args (@t4180)) % 1.31/1.53 (step @p5665 :rule quant-merge-prenex :args ((= (forall @t245 @t4182) @t4180))) % 1.31/1.53 (step @p5666 :rule alpha_equiv :args (@t4183 (@list @t2143) @t3250)) % 1.31/1.53 (step @p5667 :rule nary_cong :premises (@p2212 @p5666) :args (@t4184)) % 1.31/1.53 (step @p5668 :rule quant-miniscope-or :args ((= @t4182 @t4184))) % 1.31/1.53 (step @p5669 :rule trans :premises (@p5668 @p5667)) % 1.31/1.53 (step @p5670 :rule symm :premises (@p5669)) % 1.31/1.53 (step @p5671 :rule cong :premises (@p5670) :args ((forall @t245 (or @t1730 @t4186)))) % 1.31/1.53 (step @p5672 :rule trans :premises (@p5671 @p5665)) % 1.31/1.53 (step @p5673 :rule trans :premises (@p5672 @p5664)) % 1.31/1.53 (step @p5674 :rule refl :args (@t4186)) % 1.31/1.53 (step @p5675 :rule nary_cong :premises (@p936 @p5674) :args (@t4187)) % 1.31/1.53 (step @p5676 :rule cong :premises (@p5675) :args ((forall @t245 @t4187))) % 1.31/1.53 (step @p5677 :rule trans :premises (@p5676 @p5673)) % 1.31/1.53 (step @p5678 :rule bool-impl-elim :args (@t7 @t4186)) % 1.31/1.53 (step @p5679 :rule cong :premises (@p5678) :args ((forall @t245 (=> @t7 @t4186)))) % 1.31/1.53 (step @p5680 :rule trans :premises (@p5679 @p5677)) % 1.31/1.53 (step @p5681 :rule refl :args ((tptp.in @t633 @t663))) % 1.31/1.53 (step @p5682 :rule refl :args ((tptp.powerset @t644))) % 1.31/1.53 (step @p5683 :rule refl :args ((tptp.powerset @t494))) % 1.31/1.53 (step @p5684 :rule refl :args (@t2140)) % 1.31/1.53 (step @p5685 :rule cong :premises (@p5684) :args (@t2141)) % 1.31/1.53 (step @p5686 :rule trans :premises (@p5685 @p5683)) % 1.31/1.53 (step @p5687 :rule cong :premises (@p5686) :args (@t2142)) % 1.31/1.53 (step @p5688 :rule trans :premises (@p5687 @p5682)) % 1.31/1.53 (step @p5689 :rule cong :premises (@p3416 @p5688) :args (@t4185)) % 1.31/1.53 (step @p5690 :rule trans :premises (@p5689 @p5681)) % 1.31/1.53 (step @p5691 :rule ho_cong :premises (@p3419 @p5688)) % 1.31/1.53 (step @p5692 :rule cong :premises (@p5691 @p5690) :args ((= (_ @t3626 @t2142) @t4185))) % 1.31/1.53 (step @p5693 :rule symm :premises (@p5692)) % 1.31/1.53 (step @p5694 :rule refl :args (@t670)) % 1.31/1.53 (step @p5695 :rule eq_resolve :premises (@p5694 @p5693)) % 1.31/1.53 (step @p5696 :rule ho_cong :premises (@p997 @p5686)) % 1.31/1.53 (step @p5697 :rule cong :premises (@p5696 @p5688) :args ((= (_ tptp.powerset @t2141) @t2142))) % 1.31/1.53 (step @p5698 :rule symm :premises (@p5697)) % 1.31/1.53 (step @p5699 :rule refl :args (@t663)) % 1.31/1.53 (step @p5700 :rule eq_resolve :premises (@p5699 @p5698)) % 1.31/1.53 (step @p5701 :rule ho_cong :premises (@p997 @p5684)) % 1.31/1.53 (step @p5702 :rule cong :premises (@p5701 @p5686) :args ((= (_ tptp.powerset @t2140) @t2141))) % 1.31/1.53 (step @p5703 :rule symm :premises (@p5702)) % 1.31/1.53 (step @p5704 :rule refl :args (@t644)) % 1.31/1.53 (step @p5705 :rule eq_resolve :premises (@p5704 @p5703)) % 1.31/1.53 (step @p5706 :rule refl :args (@t494)) % 1.31/1.53 (step @p5707 :rule cong :premises (@p5706 @p5684) :args ((= @t494 @t2140))) % 1.31/1.53 (step @p5708 :rule symm :premises (@p5707)) % 1.31/1.53 (step @p5709 :rule eq_resolve :premises (@p5706 @p5708)) % 1.31/1.53 (step @p5710 :rule ho_cong :premises (@p997 @p5709)) % 1.31/1.53 (step @p5711 :rule trans :premises (@p5710 @p5705)) % 1.31/1.53 (step @p5712 :rule ho_cong :premises (@p997 @p5711)) % 1.31/1.53 (step @p5713 :rule trans :premises (@p5712 @p5700)) % 1.31/1.53 (step @p5714 :rule ho_cong :premises (@p3429 @p5713)) % 1.31/1.53 (step @p5715 :rule trans :premises (@p5714 @p5695)) % 1.31/1.53 (step @p5716 :rule nary_cong :premises (@p3448 @p5715) :args (@t4188)) % 1.31/1.53 (step @p5717 :rule cong :premises (@p5716) :args ((forall @t70 @t4188))) % 1.31/1.53 (step @p5718 :rule bool-impl-elim :args (@t354 @t670)) % 1.31/1.53 (step @p5719 :rule cong :premises (@p5718) :args (@t671)) % 1.31/1.53 (step @p5720 :rule trans :premises (@p5719 @p5717)) % 1.31/1.53 (step @p5721 :rule cong :premises (@p2271 @p5720) :args (@t672)) % 1.31/1.53 (step @p5722 :rule cong :premises (@p5721) :args (@t673)) % 1.31/1.53 (step @p5723 :rule trans :premises (@p5722 @p5680)) % 1.31/1.53 (step @p5724 :rule refl :args (tptp.ubforcartprodlem3)) % 1.31/1.53 (step @p5725 :rule cong :premises (@p5724 @p5723) :args (@t674)) % 1.31/1.54 (step @p5726 :rule eq_resolve :premises (@p146 @p5725)) % 1.31/1.54 (step @p5727 :rule cong :premises (@p5726 @p5662) :args (@t4189)) % 1.31/1.54 (step @p5728 :rule aci_norm :args ((= @t4191 @t2152))) % 1.31/1.54 (step @p5729 :rule cong :premises (@p5728) :args (@t4192)) % 1.31/1.54 (step @p5730 :rule quant-merge-prenex :args ((= (forall @t245 @t4194) @t4192))) % 1.31/1.54 (step @p5731 :rule alpha_equiv :args (@t4195 (@list @t2149) @t3250)) % 1.31/1.54 (step @p5732 :rule nary_cong :premises (@p2212 @p5731) :args (@t4196)) % 1.31/1.54 (step @p5733 :rule quant-miniscope-or :args ((= @t4194 @t4196))) % 1.31/1.54 (step @p5734 :rule trans :premises (@p5733 @p5732)) % 1.31/1.54 (step @p5735 :rule symm :premises (@p5734)) % 1.31/1.54 (step @p5736 :rule cong :premises (@p5735) :args ((forall @t245 (or @t1730 @t4198)))) % 1.31/1.54 (step @p5737 :rule trans :premises (@p5736 @p5730)) % 1.31/1.54 (step @p5738 :rule trans :premises (@p5737 @p5729)) % 1.31/1.54 (step @p5739 :rule refl :args (@t4198)) % 1.31/1.54 (step @p5740 :rule nary_cong :premises (@p936 @p5739) :args (@t4199)) % 1.31/1.54 (step @p5741 :rule cong :premises (@p5740) :args ((forall @t245 @t4199))) % 1.31/1.54 (step @p5742 :rule trans :premises (@p5741 @p5738)) % 1.31/1.54 (step @p5743 :rule bool-impl-elim :args (@t7 @t4198)) % 1.31/1.54 (step @p5744 :rule cong :premises (@p5743) :args ((forall @t245 (=> @t7 @t4198)))) % 1.31/1.54 (step @p5745 :rule trans :premises (@p5744 @p5742)) % 1.31/1.54 (step @p5746 :rule refl :args ((tptp.in @t621 @t663))) % 1.31/1.54 (step @p5747 :rule cong :premises (@p4983 @p5688) :args (@t4197)) % 1.31/1.54 (step @p5748 :rule trans :premises (@p5747 @p5746)) % 1.31/1.54 (step @p5749 :rule ho_cong :premises (@p990 @p4983)) % 1.31/1.54 (step @p5750 :rule ho_cong :premises (@p5749 @p5688)) % 1.31/1.54 (step @p5751 :rule cong :premises (@p5750 @p5748) :args ((= (_ (_ tptp.in @t2056) @t2142) @t4197))) % 1.31/1.54 (step @p5752 :rule symm :premises (@p5751)) % 1.31/1.54 (step @p5753 :rule refl :args (@t664)) % 1.31/1.54 (step @p5754 :rule eq_resolve :premises (@p5753 @p5752)) % 1.31/1.54 (step @p5755 :rule ho_cong :premises (@p990 @p5001)) % 1.31/1.54 (step @p5756 :rule ho_cong :premises (@p5755 @p5713)) % 1.31/1.54 (step @p5757 :rule trans :premises (@p5756 @p5754)) % 1.31/1.54 (step @p5758 :rule nary_cong :premises (@p3448 @p5757) :args (@t4200)) % 1.31/1.54 (step @p5759 :rule cong :premises (@p5758) :args ((forall @t70 @t4200))) % 1.31/1.54 (step @p5760 :rule bool-impl-elim :args (@t354 @t664)) % 1.31/1.54 (step @p5761 :rule cong :premises (@p5760) :args (@t665)) % 1.31/1.54 (step @p5762 :rule trans :premises (@p5761 @p5759)) % 1.31/1.54 (step @p5763 :rule cong :premises (@p2271 @p5762) :args (@t666)) % 1.31/1.54 (step @p5764 :rule cong :premises (@p5763) :args (@t667)) % 1.31/1.54 (step @p5765 :rule trans :premises (@p5764 @p5745)) % 1.31/1.54 (step @p5766 :rule refl :args (tptp.ubforcartprodlem2)) % 1.31/1.54 (step @p5767 :rule cong :premises (@p5766 @p5765) :args (@t668)) % 1.31/1.54 (step @p5768 :rule eq_resolve :premises (@p145 @p5767)) % 1.31/1.54 (step @p5769 :rule cong :premises (@p5768 @p5727) :args (@t4201)) % 1.31/1.54 (step @p5770 :rule aci_norm :args ((= @t4203 @t2158))) % 1.31/1.54 (step @p5771 :rule cong :premises (@p5770) :args (@t4204)) % 1.31/1.54 (step @p5772 :rule quant-merge-prenex :args ((= (forall @t245 @t4206) @t4204))) % 1.31/1.54 (step @p5773 :rule alpha_equiv :args (@t4207 (@list @t2155) @t3250)) % 1.31/1.54 (step @p5774 :rule nary_cong :premises (@p2212 @p5773) :args (@t4208)) % 1.31/1.54 (step @p5775 :rule quant-miniscope-or :args ((= @t4206 @t4208))) % 1.31/1.54 (step @p5776 :rule trans :premises (@p5775 @p5774)) % 1.31/1.54 (step @p5777 :rule symm :premises (@p5776)) % 1.31/1.54 (step @p5778 :rule cong :premises (@p5777) :args ((forall @t245 (or @t1730 @t4210)))) % 1.31/1.54 (step @p5779 :rule trans :premises (@p5778 @p5772)) % 1.31/1.54 (step @p5780 :rule trans :premises (@p5779 @p5771)) % 1.31/1.54 (step @p5781 :rule refl :args (@t4210)) % 1.31/1.54 (step @p5782 :rule nary_cong :premises (@p936 @p5781) :args (@t4211)) % 1.31/1.54 (step @p5783 :rule cong :premises (@p5782) :args ((forall @t245 @t4211))) % 1.31/1.54 (step @p5784 :rule trans :premises (@p5783 @p5780)) % 1.31/1.54 (step @p5785 :rule bool-impl-elim :args (@t7 @t4210)) % 1.31/1.54 (step @p5786 :rule cong :premises (@p5785) :args ((forall @t245 (=> @t7 @t4210)))) % 1.31/1.54 (step @p5787 :rule trans :premises (@p5786 @p5784)) % 1.31/1.54 (step @p5788 :rule refl :args ((tptp.subset @t621 @t644))) % 1.31/1.54 (step @p5789 :rule cong :premises (@p4983 @p5686) :args (@t4209)) % 1.31/1.54 (step @p5790 :rule trans :premises (@p5789 @p5788)) % 1.31/1.54 (step @p5791 :rule ho_cong :premises (@p1053 @p4983)) % 1.31/1.54 (step @p5792 :rule ho_cong :premises (@p5791 @p5686)) % 1.31/1.54 (step @p5793 :rule cong :premises (@p5792 @p5790) :args ((= (_ (_ tptp.subset @t2056) @t2141) @t4209))) % 1.31/1.54 (step @p5794 :rule symm :premises (@p5793)) % 1.31/1.54 (step @p5795 :rule refl :args (@t658)) % 1.31/1.54 (step @p5796 :rule eq_resolve :premises (@p5795 @p5794)) % 1.31/1.54 (step @p5797 :rule ho_cong :premises (@p1053 @p5001)) % 1.31/1.54 (step @p5798 :rule ho_cong :premises (@p5797 @p5711)) % 1.31/1.54 (step @p5799 :rule trans :premises (@p5798 @p5796)) % 1.31/1.54 (step @p5800 :rule nary_cong :premises (@p3448 @p5799) :args (@t4212)) % 1.31/1.54 (step @p5801 :rule cong :premises (@p5800) :args ((forall @t70 @t4212))) % 1.31/1.54 (step @p5802 :rule bool-impl-elim :args (@t354 @t658)) % 1.31/1.54 (step @p5803 :rule cong :premises (@p5802) :args (@t659)) % 1.31/1.54 (step @p5804 :rule trans :premises (@p5803 @p5801)) % 1.31/1.54 (step @p5805 :rule cong :premises (@p2271 @p5804) :args (@t660)) % 1.31/1.54 (step @p5806 :rule cong :premises (@p5805) :args (@t661)) % 1.31/1.54 (step @p5807 :rule trans :premises (@p5806 @p5787)) % 1.31/1.54 (step @p5808 :rule refl :args (tptp.ubforcartprodlem1)) % 1.31/1.54 (step @p5809 :rule cong :premises (@p5808 @p5807) :args (@t662)) % 1.31/1.54 (step @p5810 :rule eq_resolve :premises (@p144 @p5809)) % 1.31/1.54 (step @p5811 :rule cong :premises (@p5810 @p5769) :args (@t4213)) % 1.31/1.54 (step @p5812 :rule aci_norm :args ((= @t4215 @t2164))) % 1.31/1.54 (step @p5813 :rule cong :premises (@p5812) :args (@t4216)) % 1.31/1.54 (step @p5814 :rule quant-merge-prenex :args ((= (forall @t245 @t4218) @t4216))) % 1.31/1.54 (step @p5815 :rule alpha_equiv :args (@t4219 (@list @t2161) @t3250)) % 1.31/1.54 (step @p5816 :rule nary_cong :premises (@p2212 @p5815) :args (@t4220)) % 1.31/1.54 (step @p5817 :rule quant-miniscope-or :args ((= @t4218 @t4220))) % 1.31/1.54 (step @p5818 :rule trans :premises (@p5817 @p5816)) % 1.31/1.54 (step @p5819 :rule symm :premises (@p5818)) % 1.31/1.54 (step @p5820 :rule cong :premises (@p5819) :args ((forall @t245 (or @t1730 @t4222)))) % 1.31/1.54 (step @p5821 :rule trans :premises (@p5820 @p5814)) % 1.31/1.54 (step @p5822 :rule trans :premises (@p5821 @p5813)) % 1.31/1.54 (step @p5823 :rule refl :args (@t4222)) % 1.31/1.54 (step @p5824 :rule nary_cong :premises (@p936 @p5823) :args (@t4223)) % 1.31/1.54 (step @p5825 :rule cong :premises (@p5824) :args ((forall @t245 @t4223))) % 1.31/1.54 (step @p5826 :rule trans :premises (@p5825 @p5822)) % 1.31/1.54 (step @p5827 :rule bool-impl-elim :args (@t7 @t4222)) % 1.31/1.54 (step @p5828 :rule cong :premises (@p5827) :args ((forall @t245 (=> @t7 @t4222)))) % 1.31/1.54 (step @p5829 :rule trans :premises (@p5828 @p5826)) % 1.31/1.54 (step @p5830 :rule refl :args ((tptp.in @t293 @t644))) % 1.31/1.54 (step @p5831 :rule cong :premises (@p2231 @p5686) :args (@t4221)) % 1.31/1.54 (step @p5832 :rule trans :premises (@p5831 @p5830)) % 1.31/1.54 (step @p5833 :rule ho_cong :premises (@p990 @p2231)) % 1.31/1.54 (step @p5834 :rule ho_cong :premises (@p5833 @p5686)) % 1.31/1.54 (step @p5835 :rule cong :premises (@p5834 @p5832) :args ((= (_ (_ tptp.in @t2054) @t2141) @t4221))) % 1.31/1.54 (step @p5836 :rule symm :premises (@p5835)) % 1.31/1.54 (step @p5837 :rule refl :args (@t653)) % 1.31/1.54 (step @p5838 :rule eq_resolve :premises (@p5837 @p5836)) % 1.31/1.54 (step @p5839 :rule ho_cong :premises (@p990 @p2252)) % 1.31/1.54 (step @p5840 :rule ho_cong :premises (@p5839 @p5711)) % 1.31/1.54 (step @p5841 :rule trans :premises (@p5840 @p5838)) % 1.31/1.54 (step @p5842 :rule nary_cong :premises (@p3448 @p5841) :args (@t4224)) % 1.31/1.54 (step @p5843 :rule cong :premises (@p5842) :args ((forall @t70 @t4224))) % 1.31/1.54 (step @p5844 :rule bool-impl-elim :args (@t354 @t653)) % 1.31/1.54 (step @p5845 :rule cong :premises (@p5844) :args (@t654)) % 1.31/1.54 (step @p5846 :rule trans :premises (@p5845 @p5843)) % 1.31/1.54 (step @p5847 :rule cong :premises (@p2271 @p5846) :args (@t655)) % 1.31/1.54 (step @p5848 :rule cong :premises (@p5847) :args (@t656)) % 1.31/1.54 (step @p5849 :rule trans :premises (@p5848 @p5829)) % 1.31/1.54 (step @p5850 :rule refl :args (tptp.upairinpowunion)) % 1.31/1.54 (step @p5851 :rule cong :premises (@p5850 @p5849) :args (@t657)) % 1.31/1.54 (step @p5852 :rule eq_resolve :premises (@p143 @p5851)) % 1.31/1.54 (step @p5853 :rule cong :premises (@p5852 @p5811) :args (@t4225)) % 1.31/1.54 (step @p5854 :rule aci_norm :args ((= @t4227 @t2170))) % 1.31/1.54 (step @p5855 :rule cong :premises (@p5854) :args (@t4228)) % 1.31/1.54 (step @p5856 :rule quant-merge-prenex :args ((= (forall @t245 @t4230) @t4228))) % 1.31/1.54 (step @p5857 :rule alpha_equiv :args (@t4231 (@list @t2167) @t3250)) % 1.31/1.54 (step @p5858 :rule nary_cong :premises (@p2212 @p5857) :args (@t4232)) % 1.31/1.54 (step @p5859 :rule quant-miniscope-or :args ((= @t4230 @t4232))) % 1.31/1.54 (step @p5860 :rule trans :premises (@p5859 @p5858)) % 1.31/1.54 (step @p5861 :rule symm :premises (@p5860)) % 1.31/1.54 (step @p5862 :rule cong :premises (@p5861) :args ((forall @t245 (or @t1730 @t4234)))) % 1.31/1.54 (step @p5863 :rule trans :premises (@p5862 @p5856)) % 1.31/1.54 (step @p5864 :rule trans :premises (@p5863 @p5855)) % 1.31/1.54 (step @p5865 :rule refl :args (@t4234)) % 1.31/1.54 (step @p5866 :rule nary_cong :premises (@p936 @p5865) :args (@t4235)) % 1.31/1.54 (step @p5867 :rule cong :premises (@p5866) :args ((forall @t245 @t4235))) % 1.31/1.54 (step @p5868 :rule trans :premises (@p5867 @p5864)) % 1.31/1.54 (step @p5869 :rule bool-impl-elim :args (@t7 @t4234)) % 1.31/1.54 (step @p5870 :rule cong :premises (@p5869) :args ((forall @t245 (=> @t7 @t4234)))) % 1.31/1.54 (step @p5871 :rule trans :premises (@p5870 @p5868)) % 1.31/1.54 (step @p5872 :rule refl :args ((tptp.subset @t293 @t494))) % 1.31/1.54 (step @p5873 :rule cong :premises (@p2231 @p5684) :args (@t4233)) % 1.31/1.54 (step @p5874 :rule trans :premises (@p5873 @p5872)) % 1.31/1.54 (step @p5875 :rule ho_cong :premises (@p1053 @p2231)) % 1.31/1.54 (step @p5876 :rule ho_cong :premises (@p5875 @p5684)) % 1.31/1.54 (step @p5877 :rule cong :premises (@p5876 @p5874) :args ((= (_ (_ tptp.subset @t2054) @t2140) @t4233))) % 1.31/1.54 (step @p5878 :rule symm :premises (@p5877)) % 1.31/1.54 (step @p5879 :rule refl :args (@t648)) % 1.31/1.54 (step @p5880 :rule eq_resolve :premises (@p5879 @p5878)) % 1.31/1.54 (step @p5881 :rule ho_cong :premises (@p1053 @p2252)) % 1.31/1.54 (step @p5882 :rule ho_cong :premises (@p5881 @p5709)) % 1.31/1.54 (step @p5883 :rule trans :premises (@p5882 @p5880)) % 1.31/1.54 (step @p5884 :rule nary_cong :premises (@p3448 @p5883) :args (@t4236)) % 1.31/1.54 (step @p5885 :rule cong :premises (@p5884) :args ((forall @t70 @t4236))) % 1.31/1.54 (step @p5886 :rule bool-impl-elim :args (@t354 @t648)) % 1.31/1.54 (step @p5887 :rule cong :premises (@p5886) :args (@t649)) % 1.31/1.54 (step @p5888 :rule trans :premises (@p5887 @p5885)) % 1.31/1.54 (step @p5889 :rule cong :premises (@p2271 @p5888) :args (@t650)) % 1.31/1.54 (step @p5890 :rule cong :premises (@p5889) :args (@t651)) % 1.31/1.54 (step @p5891 :rule trans :premises (@p5890 @p5871)) % 1.31/1.54 (step @p5892 :rule refl :args (tptp.upairsubunion)) % 1.31/1.54 (step @p5893 :rule cong :premises (@p5892 @p5891) :args (@t652)) % 1.31/1.54 (step @p5894 :rule eq_resolve :premises (@p142 @p5893)) % 1.31/1.54 (step @p5895 :rule cong :premises (@p5894 @p5853) :args (@t4237)) % 1.31/1.54 (step @p5896 :rule eq-symm :args (@t2175 tptp.upairset2E)) % 1.31/1.54 (step @p5897 :rule refl :args (tptp.upairset2E)) % 1.31/1.54 (step @p5898 :rule refl :args (@t2173)) % 1.31/1.54 (step @p5899 :rule refl :args ((tptp.in @t289 @t293))) % 1.31/1.54 (step @p5900 :rule cong :premises (@p4935 @p2231) :args (@t2174)) % 1.31/1.54 (step @p5901 :rule trans :premises (@p5900 @p5899)) % 1.31/1.54 (step @p5902 :rule refl :args (@t294)) % 1.31/1.54 (step @p5903 :rule ho_cong :premises (@p5902 @p2231)) % 1.31/1.54 (step @p5904 :rule cong :premises (@p5903 @p5901) :args ((= (_ @t294 @t2054) @t2174))) % 1.31/1.54 (step @p5905 :rule symm :premises (@p5904)) % 1.31/1.54 (step @p5906 :rule refl :args (@t295)) % 1.31/1.54 (step @p5907 :rule eq_resolve :premises (@p5906 @p5905)) % 1.31/1.54 (step @p5908 :rule ho_cong :premises (@p5902 @p2252)) % 1.31/1.54 (step @p5909 :rule trans :premises (@p5908 @p5907)) % 1.31/1.54 (step @p5910 :rule cong :premises (@p5909) :args (@t4238)) % 1.31/1.54 (step @p5911 :rule nary_cong :premises (@p5910 @p5131 @p5898) :args (@t4239)) % 1.31/1.54 (step @p5912 :rule cong :premises (@p5911) :args ((forall @t297 @t4239))) % 1.31/1.54 (step @p5913 :rule aci_norm :args ((= (or @t4238 @t4240) @t4239))) % 1.31/1.54 (step @p5914 :rule bool-impl-elim :args (@t295 @t4240)) % 1.31/1.54 (step @p5915 :rule trans :premises (@p5914 @p5913)) % 1.31/1.54 (step @p5916 :rule cong :premises (@p5915) :args ((forall @t297 (=> @t295 @t4240)))) % 1.31/1.54 (step @p5917 :rule trans :premises (@p5916 @p5912)) % 1.31/1.54 (step @p5918 :rule nary_cong :premises (@p2582 @p2580) :args (@t292)) % 1.31/1.54 (step @p5919 :rule refl :args (@t295)) % 1.31/1.54 (step @p5920 :rule cong :premises (@p5919 @p5918) :args (@t296)) % 1.31/1.54 (step @p5921 :rule cong :premises (@p5920) :args (@t298)) % 1.31/1.54 (step @p5922 :rule trans :premises (@p5921 @p5917)) % 1.31/1.54 (step @p5923 :rule cong :premises (@p5922 @p5897) :args ((= @t298 tptp.upairset2E))) % 1.31/1.54 (step @p5924 :rule trans :premises (@p5923 @p5896)) % 1.31/1.54 (step @p5925 :rule eq-symm :args (tptp.upairset2E @t298)) % 1.31/1.54 (step @p5926 :rule trans :premises (@p5925 @p5924)) % 1.31/1.54 (step @p5927 :rule eq_resolve :premises (@p141 @p5926)) % 1.31/1.54 (step @p5928 :rule cong :premises (@p5927 @p5895) :args (@t4241)) % 1.31/1.54 (step @p5929 :rule refl :args ((tptp.in @t279 @t644))) % 1.31/1.54 (step @p5930 :rule cong :premises (@p2660 @p5686) :args (@t2176)) % 1.31/1.54 (step @p5931 :rule trans :premises (@p5930 @p5929)) % 1.31/1.54 (step @p5932 :rule ho_cong :premises (@p5219 @p5686)) % 1.31/1.54 (step @p5933 :rule cong :premises (@p5932 @p5931) :args ((= (_ @t4076 @t2141) @t2176))) % 1.31/1.54 (step @p5934 :rule symm :premises (@p5933)) % 1.31/1.54 (step @p5935 :rule refl :args (@t645)) % 1.31/1.54 (step @p5936 :rule eq_resolve :premises (@p5935 @p5934)) % 1.31/1.54 (step @p5937 :rule ho_cong :premises (@p5225 @p5711)) % 1.31/1.54 (step @p5938 :rule trans :premises (@p5937 @p5936)) % 1.31/1.54 (step @p5939 :rule nary_cong :premises (@p936 @p5938) :args (@t4242)) % 1.31/1.54 (step @p5940 :rule cong :premises (@p5939) :args ((forall @t245 @t4242))) % 1.31/1.54 (step @p5941 :rule bool-impl-elim :args (@t7 @t645)) % 1.31/1.54 (step @p5942 :rule cong :premises (@p5941) :args (@t646)) % 1.31/1.54 (step @p5943 :rule trans :premises (@p5942 @p5940)) % 1.31/1.54 (step @p5944 :rule refl :args (tptp.singletoninpowunion)) % 1.31/1.54 (step @p5945 :rule cong :premises (@p5944 @p5943) :args (@t647)) % 1.31/1.54 (step @p5946 :rule eq_resolve :premises (@p140 @p5945)) % 1.31/1.54 (step @p5947 :rule cong :premises (@p5946 @p5928) :args (@t4243)) % 1.31/1.54 (step @p5948 :rule refl :args ((tptp.in @t279 @t33))) % 1.31/1.54 (step @p5949 :rule cong :premises (@p2660 @p782) :args (@t2178)) % 1.31/1.54 (step @p5950 :rule trans :premises (@p5949 @p5948)) % 1.31/1.54 (step @p5951 :rule ho_cong :premises (@p5219 @p782)) % 1.31/1.54 (step @p5952 :rule cong :premises (@p5951 @p5950) :args ((= (_ @t4076 @t1594) @t2178))) % 1.31/1.54 (step @p5953 :rule symm :premises (@p5952)) % 1.31/1.54 (step @p5954 :rule refl :args (@t641)) % 1.31/1.54 (step @p5955 :rule eq_resolve :premises (@p5954 @p5953)) % 1.31/1.54 (step @p5956 :rule ho_cong :premises (@p5225 @p795)) % 1.31/1.54 (step @p5957 :rule trans :premises (@p5956 @p5955)) % 1.31/1.54 (step @p5958 :rule nary_cong :premises (@p936 @p5957) :args (@t4244)) % 1.31/1.54 (step @p5959 :rule cong :premises (@p5958) :args ((forall @t46 @t4244))) % 1.31/1.54 (step @p5960 :rule bool-impl-elim :args (@t7 @t641)) % 1.31/1.54 (step @p5961 :rule cong :premises (@p5960) :args (@t642)) % 1.31/1.54 (step @p5962 :rule trans :premises (@p5961 @p5959)) % 1.31/1.54 (step @p5963 :rule refl :args (tptp.singletoninpowerset)) % 1.31/1.54 (step @p5964 :rule cong :premises (@p5963 @p5962) :args (@t643)) % 1.31/1.54 (step @p5965 :rule eq_resolve :premises (@p139 @p5964)) % 1.31/1.54 (step @p5966 :rule cong :premises (@p5965 @p5947) :args (@t4245)) % 1.31/1.54 (step @p5967 :rule refl :args ((tptp.subset @t279 @t2))) % 1.31/1.54 (step @p5968 :rule cong :premises (@p2660 @p983) :args (@t2180)) % 1.31/1.54 (step @p5969 :rule trans :premises (@p5968 @p5967)) % 1.31/1.54 (step @p5970 :rule ho_cong :premises (@p1053 @p2660)) % 1.31/1.54 (step @p5971 :rule ho_cong :premises (@p5970 @p983)) % 1.31/1.54 (step @p5972 :rule cong :premises (@p5971 @p5969) :args ((= (_ (_ tptp.subset @t1799) @t2) @t2180))) % 1.31/1.54 (step @p5973 :rule symm :premises (@p5972)) % 1.31/1.54 (step @p5974 :rule refl :args (@t637)) % 1.31/1.54 (step @p5975 :rule eq_resolve :premises (@p5974 @p5973)) % 1.31/1.54 (step @p5976 :rule ho_cong :premises (@p1053 @p2664)) % 1.31/1.54 (step @p5977 :rule ho_cong :premises (@p5976 @p983)) % 1.31/1.54 (step @p5978 :rule trans :premises (@p5977 @p5975)) % 1.31/1.54 (step @p5979 :rule nary_cong :premises (@p936 @p5978) :args (@t4246)) % 1.31/1.54 (step @p5980 :rule cong :premises (@p5979) :args ((forall @t46 @t4246))) % 1.31/1.54 (step @p5981 :rule bool-impl-elim :args (@t7 @t637)) % 1.31/1.54 (step @p5982 :rule cong :premises (@p5981) :args (@t638)) % 1.31/1.54 (step @p5983 :rule trans :premises (@p5982 @p5980)) % 1.31/1.54 (step @p5984 :rule refl :args (tptp.singletonsubset)) % 1.31/1.54 (step @p5985 :rule cong :premises (@p5984 @p5983) :args (@t639)) % 1.31/1.54 (step @p5986 :rule eq_resolve :premises (@p138 @p5985)) % 1.31/1.54 (step @p5987 :rule cong :premises (@p5986 @p5966) :args (@t4247)) % 1.31/1.54 (step @p5988 :rule refl :args ((tptp.iskpair @t633))) % 1.31/1.54 (step @p5989 :rule cong :premises (@p3416) :args (@t2182)) % 1.31/1.54 (step @p5990 :rule trans :premises (@p5989 @p5988)) % 1.31/1.54 (step @p5991 :rule refl :args (tptp.iskpair)) % 1.31/1.54 (step @p5992 :rule ho_cong :premises (@p5991 @p3416)) % 1.31/1.54 (step @p5993 :rule cong :premises (@p5992 @p5990) :args ((= (_ tptp.iskpair @t1985) @t2182))) % 1.31/1.54 (step @p5994 :rule symm :premises (@p5993)) % 1.31/1.54 (step @p5995 :rule refl :args (@t634)) % 1.31/1.54 (step @p5996 :rule eq_resolve :premises (@p5995 @p5994)) % 1.31/1.54 (step @p5997 :rule ho_cong :premises (@p5991 @p3428)) % 1.31/1.54 (step @p5998 :rule trans :premises (@p5997 @p5996)) % 1.31/1.54 (step @p5999 :rule cong :premises (@p5998) :args (@t635)) % 1.31/1.54 (step @p6000 :rule refl :args (tptp.kpairp)) % 1.31/1.54 (step @p6001 :rule cong :premises (@p6000 @p5999) :args (@t636)) % 1.31/1.54 (step @p6002 :rule eq_resolve :premises (@p137 @p6001)) % 1.31/1.54 (step @p6003 :rule cong :premises (@p6002 @p5987) :args (@t4248)) % 1.31/1.54 (step @p6004 :rule refl :args ((tptp.iskpair @t621))) % 1.31/1.54 (step @p6005 :rule cong :premises (@p4983) :args (@t2184)) % 1.31/1.54 (step @p6006 :rule trans :premises (@p6005 @p6004)) % 1.31/1.54 (step @p6007 :rule ho_cong :premises (@p5991 @p4983)) % 1.31/1.54 (step @p6008 :rule cong :premises (@p6007 @p6006) :args ((= (_ tptp.iskpair @t2056) @t2184))) % 1.31/1.54 (step @p6009 :rule symm :premises (@p6008)) % 1.31/1.54 (step @p6010 :rule refl :args (@t629)) % 1.31/1.54 (step @p6011 :rule eq_resolve :premises (@p6010 @p6009)) % 1.31/1.54 (step @p6012 :rule ho_cong :premises (@p5991 @p5001)) % 1.31/1.54 (step @p6013 :rule trans :premises (@p6012 @p6011)) % 1.31/1.54 (step @p6014 :rule cong :premises (@p6013) :args (@t630)) % 1.31/1.54 (step @p6015 :rule refl :args (tptp.kpairiskpair)) % 1.31/1.54 (step @p6016 :rule cong :premises (@p6015 @p6014) :args (@t631)) % 1.31/1.54 (step @p6017 :rule eq_resolve :premises (@p136 @p6016)) % 1.31/1.54 (step @p6018 :rule cong :premises (@p6017 @p6003) :args (@t4249)) % 1.31/1.54 (step @p6019 :rule refl :args ((tptp.in @t19 @t622))) % 1.31/1.54 (step @p6020 :rule refl :args ((tptp.setunion @t621))) % 1.31/1.54 (step @p6021 :rule cong :premises (@p4983) :args (@t2186)) % 1.31/1.54 (step @p6022 :rule trans :premises (@p6021 @p6020)) % 1.31/1.54 (step @p6023 :rule cong :premises (@p2323 @p6022) :args (@t2187)) % 1.31/1.54 (step @p6024 :rule trans :premises (@p6023 @p6019)) % 1.31/1.54 (step @p6025 :rule ho_cong :premises (@p2952 @p6022)) % 1.31/1.54 (step @p6026 :rule cong :premises (@p6025 @p6024) :args ((= (_ @t20 @t2186) @t2187))) % 1.31/1.54 (step @p6027 :rule symm :premises (@p6026)) % 1.31/1.54 (step @p6028 :rule refl :args (@t626)) % 1.31/1.54 (step @p6029 :rule eq_resolve :premises (@p6028 @p6027)) % 1.31/1.54 (step @p6030 :rule ho_cong :premises (@p4348 @p4983)) % 1.31/1.54 (step @p6031 :rule cong :premises (@p6030 @p6022) :args ((= (_ tptp.setunion @t2056) @t2186))) % 1.31/1.54 (step @p6032 :rule symm :premises (@p6031)) % 1.31/1.54 (step @p6033 :rule refl :args (@t622)) % 1.31/1.54 (step @p6034 :rule eq_resolve :premises (@p6033 @p6032)) % 1.31/1.54 (step @p6035 :rule ho_cong :premises (@p4348 @p5001)) % 1.31/1.54 (step @p6036 :rule trans :premises (@p6035 @p6034)) % 1.31/1.54 (step @p6037 :rule ho_cong :premises (@p2952 @p6036)) % 1.31/1.54 (step @p6038 :rule trans :premises (@p6037 @p6029)) % 1.31/1.54 (step @p6039 :rule cong :premises (@p6038) :args (@t627)) % 1.31/1.54 (step @p6040 :rule refl :args (tptp.setukpairIR)) % 1.31/1.54 (step @p6041 :rule cong :premises (@p6040 @p6039) :args (@t628)) % 1.31/1.54 (step @p6042 :rule eq_resolve :premises (@p135 @p6041)) % 1.31/1.54 (step @p6043 :rule cong :premises (@p6042 @p6018) :args (@t4250)) % 1.31/1.54 (step @p6044 :rule refl :args ((tptp.in @t4 @t622))) % 1.31/1.54 (step @p6045 :rule cong :premises (@p914 @p6022) :args (@t2189)) % 1.31/1.54 (step @p6046 :rule trans :premises (@p6045 @p6044)) % 1.31/1.54 (step @p6047 :rule ho_cong :premises (@p917 @p6022)) % 1.31/1.54 (step @p6048 :rule cong :premises (@p6047 @p6046) :args ((= (_ @t5 @t2186) @t2189))) % 1.31/1.54 (step @p6049 :rule symm :premises (@p6048)) % 1.31/1.54 (step @p6050 :rule refl :args (@t623)) % 1.31/1.54 (step @p6051 :rule eq_resolve :premises (@p6050 @p6049)) % 1.31/1.54 (step @p6052 :rule ho_cong :premises (@p917 @p6036)) % 1.31/1.54 (step @p6053 :rule trans :premises (@p6052 @p6051)) % 1.31/1.54 (step @p6054 :rule cong :premises (@p6053) :args (@t624)) % 1.31/1.54 (step @p6055 :rule refl :args (tptp.setukpairIL)) % 1.31/1.54 (step @p6056 :rule cong :premises (@p6055 @p6054) :args (@t625)) % 1.31/1.54 (step @p6057 :rule eq_resolve :premises (@p134 @p6056)) % 1.31/1.54 (step @p6058 :rule cong :premises (@p6057 @p6043) :args (@t4251)) % 1.31/1.54 (step @p6059 :rule eq-symm :args (@t2192 tptp.secondinupair)) % 1.31/1.54 (step @p6060 :rule refl :args (tptp.secondinupair)) % 1.31/1.54 (step @p6061 :rule refl :args ((tptp.in @t19 @t293))) % 1.31/1.54 (step @p6062 :rule cong :premises (@p2323 @p2231) :args (@t2191)) % 1.31/1.54 (step @p6063 :rule trans :premises (@p6062 @p6061)) % 1.31/1.54 (step @p6064 :rule ho_cong :premises (@p2952 @p2231)) % 1.31/1.54 (step @p6065 :rule cong :premises (@p6064 @p6063) :args ((= (_ @t20 @t2054) @t2191))) % 1.31/1.54 (step @p6066 :rule symm :premises (@p6065)) % 1.31/1.54 (step @p6067 :rule refl :args (@t303)) % 1.31/1.54 (step @p6068 :rule eq_resolve :premises (@p6067 @p6066)) % 1.31/1.54 (step @p6069 :rule ho_cong :premises (@p2952 @p2252)) % 1.31/1.54 (step @p6070 :rule trans :premises (@p6069 @p6068)) % 1.31/1.54 (step @p6071 :rule cong :premises (@p6070) :args (@t304)) % 1.31/1.54 (step @p6072 :rule cong :premises (@p6071 @p6060) :args ((= @t304 tptp.secondinupair))) % 1.31/1.54 (step @p6073 :rule trans :premises (@p6072 @p6059)) % 1.31/1.54 (step @p6074 :rule eq-symm :args (tptp.secondinupair @t304)) % 1.31/1.54 (step @p6075 :rule trans :premises (@p6074 @p6073)) % 1.31/1.54 (step @p6076 :rule eq_resolve :premises (@p133 @p6075)) % 1.31/1.54 (step @p6077 :rule cong :premises (@p6076 @p6058) :args (@t4252)) % 1.31/1.54 (step @p6078 :rule refl :args ((tptp.in @t4 @t601))) % 1.31/1.54 (step @p6079 :rule refl :args (@t2193)) % 1.31/1.54 (step @p6080 :rule cong :premises (@p914 @p6079) :args (@t2194)) % 1.31/1.54 (step @p6081 :rule trans :premises (@p6080 @p6078)) % 1.31/1.54 (step @p6082 :rule ho_cong :premises (@p917 @p6079)) % 1.31/1.54 (step @p6083 :rule cong :premises (@p6082 @p6081) :args ((= (_ @t5 @t2193) @t2194))) % 1.31/1.54 (step @p6084 :rule symm :premises (@p6083)) % 1.31/1.54 (step @p6085 :rule refl :args (@t602)) % 1.31/1.54 (step @p6086 :rule eq_resolve :premises (@p6085 @p6084)) % 1.31/1.54 (step @p6087 :rule refl :args (@t601)) % 1.31/1.54 (step @p6088 :rule cong :premises (@p6087 @p6079) :args ((= @t601 @t2193))) % 1.31/1.54 (step @p6089 :rule symm :premises (@p6088)) % 1.31/1.54 (step @p6090 :rule eq_resolve :premises (@p6087 @p6089)) % 1.31/1.54 (step @p6091 :rule ho_cong :premises (@p917 @p6090)) % 1.31/1.54 (step @p6092 :rule trans :premises (@p6091 @p6086)) % 1.31/1.54 (step @p6093 :rule cong :premises (@p6092) :args (@t612)) % 1.31/1.54 (step @p6094 :rule refl :args (@t2196)) % 1.31/1.54 (step @p6095 :rule refl :args (@t6)) % 1.31/1.54 (step @p6096 :rule cong :premises (@p6095 @p6094) :args ((= @t6 @t2196))) % 1.31/1.54 (step @p6097 :rule symm :premises (@p6096)) % 1.31/1.54 (step @p6098 :rule eq_resolve :premises (@p6095 @p6097)) % 1.31/1.54 (step @p6099 :rule nary_cong :premises (@p935 @p6098 @p6093) :args (@t4253)) % 1.31/1.54 (step @p6100 :rule cong :premises (@p6099) :args ((forall @t245 @t4253))) % 1.31/1.54 (step @p6101 :rule aci_norm :args ((= (or @t7 (or @t6 @t612)) @t4253))) % 1.31/1.54 (step @p6102 :rule refl :args (@t612)) % 1.31/1.54 (step @p6103 :rule bool-double-not-elim :args (@t6)) % 1.31/1.54 (step @p6104 :rule nary_cong :premises (@p6103 @p6102) :args ((or @t4254 @t612))) % 1.31/1.54 (step @p6105 :rule bool-impl-elim :args (@t437 @t612)) % 1.31/1.54 (step @p6106 :rule trans :premises (@p6105 @p6104)) % 1.31/1.54 (step @p6107 :rule nary_cong :premises (@p932 @p6106) :args ((or @t7 @t616))) % 1.31/1.54 (step @p6108 :rule trans :premises (@p6107 @p6101)) % 1.31/1.54 (step @p6109 :rule refl :args (@t616)) % 1.31/1.54 (step @p6110 :rule bool-double-not-elim :args (@t7)) % 1.31/1.54 (step @p6111 :rule nary_cong :premises (@p6110 @p6109) :args ((or @t4255 @t616))) % 1.31/1.54 (step @p6112 :rule bool-impl-elim :args (@t197 @t616)) % 1.31/1.54 (step @p6113 :rule trans :premises (@p6112 @p6111)) % 1.31/1.54 (step @p6114 :rule trans :premises (@p6113 @p6108)) % 1.31/1.54 (step @p6115 :rule cong :premises (@p6114) :args (@t617)) % 1.31/1.54 (step @p6116 :rule trans :premises (@p6115 @p6100)) % 1.31/1.54 (step @p6117 :rule refl :args (tptp.symdiffIneg2)) % 1.31/1.54 (step @p6118 :rule cong :premises (@p6117 @p6116) :args (@t618)) % 1.31/1.54 (step @p6119 :rule eq_resolve :premises (@p132 @p6118)) % 1.31/1.54 (step @p6120 :rule cong :premises (@p6119 @p6077) :args (@t4256)) % 1.31/1.54 (step @p6121 :rule cong :premises (@p6098) :args (@t437)) % 1.31/1.54 (step @p6122 :rule nary_cong :premises (@p936 @p6121 @p6093) :args (@t4257)) % 1.31/1.54 (step @p6123 :rule cong :premises (@p6122) :args ((forall @t245 @t4257))) % 1.31/1.54 (step @p6124 :rule aci_norm :args ((= (or @t197 (or @t437 @t612)) @t4257))) % 1.31/1.54 (step @p6125 :rule bool-impl-elim :args (@t6 @t612)) % 1.31/1.54 (step @p6126 :rule nary_cong :premises (@p941 @p6125) :args ((or @t197 @t613))) % 1.31/1.54 (step @p6127 :rule trans :premises (@p6126 @p6124)) % 1.31/1.54 (step @p6128 :rule bool-impl-elim :args (@t7 @t613)) % 1.31/1.54 (step @p6129 :rule trans :premises (@p6128 @p6127)) % 1.31/1.54 (step @p6130 :rule cong :premises (@p6129) :args (@t614)) % 1.31/1.54 (step @p6131 :rule trans :premises (@p6130 @p6123)) % 1.31/1.54 (step @p6132 :rule refl :args (tptp.symdiffIneg1)) % 1.31/1.54 (step @p6133 :rule cong :premises (@p6132 @p6131) :args (@t615)) % 1.31/1.54 (step @p6134 :rule eq_resolve :premises (@p131 @p6133)) % 1.31/1.54 (step @p6135 :rule cong :premises (@p6134 @p6120) :args (@t4258)) % 1.31/1.54 (step @p6136 :rule nary_cong :premises (@p935 @p6121 @p6092) :args (@t4259)) % 1.31/1.54 (step @p6137 :rule cong :premises (@p6136) :args ((forall @t245 @t4259))) % 1.31/1.54 (step @p6138 :rule aci_norm :args ((= (or @t7 (or @t437 @t602)) @t4259))) % 1.31/1.54 (step @p6139 :rule bool-impl-elim :args (@t6 @t602)) % 1.31/1.54 (step @p6140 :rule nary_cong :premises (@p932 @p6139) :args ((or @t7 @t609))) % 1.31/1.54 (step @p6141 :rule trans :premises (@p6140 @p6138)) % 1.31/1.54 (step @p6142 :rule refl :args (@t609)) % 1.31/1.54 (step @p6143 :rule nary_cong :premises (@p6110 @p6142) :args ((or @t4255 @t609))) % 1.31/1.54 (step @p6144 :rule bool-impl-elim :args (@t197 @t609)) % 1.31/1.54 (step @p6145 :rule trans :premises (@p6144 @p6143)) % 1.31/1.54 (step @p6146 :rule trans :premises (@p6145 @p6141)) % 1.31/1.54 (step @p6147 :rule cong :premises (@p6146) :args (@t610)) % 1.31/1.54 (step @p6148 :rule trans :premises (@p6147 @p6137)) % 1.31/1.54 (step @p6149 :rule refl :args (tptp.symdiffI2)) % 1.31/1.54 (step @p6150 :rule cong :premises (@p6149 @p6148) :args (@t611)) % 1.31/1.54 (step @p6151 :rule eq_resolve :premises (@p130 @p6150)) % 1.31/1.54 (step @p6152 :rule cong :premises (@p6151 @p6135) :args (@t4260)) % 1.31/1.54 (step @p6153 :rule nary_cong :premises (@p936 @p6098 @p6092) :args (@t4261)) % 1.31/1.54 (step @p6154 :rule cong :premises (@p6153) :args ((forall @t245 @t4261))) % 1.31/1.54 (step @p6155 :rule aci_norm :args ((= (or @t197 (or @t6 @t602)) @t4261))) % 1.31/1.54 (step @p6156 :rule nary_cong :premises (@p6103 @p6085) :args ((or @t4254 @t602))) % 1.31/1.54 (step @p6157 :rule bool-impl-elim :args (@t437 @t602)) % 1.31/1.54 (step @p6158 :rule trans :premises (@p6157 @p6156)) % 1.31/1.54 (step @p6159 :rule nary_cong :premises (@p941 @p6158) :args ((or @t197 @t606))) % 1.31/1.54 (step @p6160 :rule trans :premises (@p6159 @p6155)) % 1.31/1.54 (step @p6161 :rule bool-impl-elim :args (@t7 @t606)) % 1.31/1.54 (step @p6162 :rule trans :premises (@p6161 @p6160)) % 1.31/1.54 (step @p6163 :rule cong :premises (@p6162) :args (@t607)) % 1.31/1.54 (step @p6164 :rule trans :premises (@p6163 @p6154)) % 1.31/1.54 (step @p6165 :rule refl :args (tptp.symdiffI1)) % 1.31/1.54 (step @p6166 :rule cong :premises (@p6165 @p6164) :args (@t608)) % 1.31/1.54 (step @p6167 :rule eq_resolve :premises (@p129 @p6166)) % 1.31/1.54 (step @p6168 :rule cong :premises (@p6167 @p6152) :args (@t4262)) % 1.31/1.54 (step @p6169 :rule refl :args (@t2202)) % 1.31/1.54 (step @p6170 :rule refl :args (@t2203)) % 1.31/1.54 (step @p6171 :rule nary_cong :premises (@p6093 @p6170 @p6169) :args (@t4263)) % 1.31/1.54 (step @p6172 :rule cong :premises (@p6171) :args ((forall @t245 @t4263))) % 1.31/1.54 (step @p6173 :rule aci_norm :args ((= (or @t612 @t4264) @t4263))) % 1.31/1.54 (step @p6174 :rule bool-impl-elim :args (@t602 @t4264)) % 1.31/1.54 (step @p6175 :rule trans :premises (@p6174 @p6173)) % 1.31/1.54 (step @p6176 :rule cong :premises (@p6175) :args ((forall @t245 (=> @t602 @t4264)))) % 1.31/1.54 (step @p6177 :rule trans :premises (@p6176 @p6172)) % 1.31/1.54 (step @p6178 :rule aci_norm :args ((= (and @t1730 @t2196 true) @t2202))) % 1.31/1.54 (step @p6179 :rule refl :args (@t2196)) % 1.31/1.54 (step @p6180 :rule nary_cong :premises (@p2364 @p6179 @p2797) :args (@t4265)) % 1.31/1.54 (step @p6181 :rule trans :premises (@p6180 @p6178)) % 1.31/1.54 (step @p6182 :rule aci_norm :args ((= (and @t1729 @t2198 true) @t2203))) % 1.31/1.54 (step @p6183 :rule refl :args (@t2198)) % 1.31/1.54 (step @p6184 :rule nary_cong :premises (@p4484 @p6183 @p2797) :args (@t4266)) % 1.31/1.54 (step @p6185 :rule trans :premises (@p6184 @p6182)) % 1.31/1.54 (step @p6186 :rule nary_cong :premises (@p6185 @p6181) :args (@t4267)) % 1.31/1.54 (step @p6187 :rule aci_norm :args ((= @t4268 @t4267))) % 1.31/1.54 (step @p6188 :rule trans :premises (@p6187 @p6186)) % 1.31/1.54 (step @p6189 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t4270 @t4269 @t173)) @t4268))) % 1.31/1.54 (step @p6190 :rule refl :args (@t4269)) % 1.31/1.54 (step @p6191 :rule refl :args (@t4270)) % 1.31/1.54 (step @p6192 :rule nary_cong :premises (@p2290 @p6191 @p6190 @p2284) :args (@t4271)) % 1.31/1.54 (step @p6193 :rule aci_norm :args ((= @t4272 @t4271))) % 1.31/1.54 (step @p6194 :rule trans :premises (@p6193 @p6192)) % 1.31/1.54 (step @p6195 :rule cong :premises (@p6194) :args ((forall @t179 @t4272))) % 1.31/1.54 (step @p6196 :rule trans :premises (@p6195 @p6189)) % 1.31/1.54 (step @p6197 :rule trans :premises (@p6196 @p6188)) % 1.31/1.54 (step @p6198 :rule nary_cong :premises (@p936 @p6098 @p2371) :args (@t4273)) % 1.31/1.54 (step @p6199 :rule nary_cong :premises (@p935 @p6121 @p2371) :args (@t4274)) % 1.31/1.54 (step @p6200 :rule nary_cong :premises (@p6199 @p6198 @p2284) :args (@t4275)) % 1.31/1.54 (step @p6201 :rule cong :premises (@p6200) :args ((forall @t179 @t4275))) % 1.31/1.54 (step @p6202 :rule trans :premises (@p6201 @p6197)) % 1.31/1.54 (step @p6203 :rule aci_norm :args ((= (or @t4274 (or @t4273 @t173)) @t4275))) % 1.31/1.54 (step @p6204 :rule aci_norm :args ((= (and @t197 @t4276) @t4273))) % 1.31/1.54 (step @p6205 :rule bool-implies-de-morgan :args (@t6 @t173)) % 1.31/1.54 (step @p6206 :rule nary_cong :premises (@p941 @p6205) :args ((and @t197 @t4277))) % 1.31/1.54 (step @p6207 :rule trans :premises (@p6206 @p6204)) % 1.31/1.54 (step @p6208 :rule bool-implies-de-morgan :args (@t197 @t500)) % 1.31/1.54 (step @p6209 :rule trans :premises (@p6208 @p6207)) % 1.31/1.54 (step @p6210 :rule nary_cong :premises (@p6209 @p2284) :args ((or (not @t596) @t173))) % 1.31/1.54 (step @p6211 :rule bool-impl-elim :args (@t596 @t173)) % 1.31/1.54 (step @p6212 :rule trans :premises (@p6211 @p6210)) % 1.31/1.54 (step @p6213 :rule aci_norm :args ((= (and @t7 (and @t437 @t1061)) @t4274))) % 1.31/1.54 (step @p6214 :rule bool-implies-de-morgan :args (@t437 @t173)) % 1.31/1.54 (step @p6215 :rule nary_cong :premises (@p932 @p6214) :args ((and @t7 (not @t598)))) % 1.31/1.54 (step @p6216 :rule trans :premises (@p6215 @p6213)) % 1.31/1.54 (step @p6217 :rule bool-implies-de-morgan :args (@t7 @t598)) % 1.31/1.54 (step @p6218 :rule trans :premises (@p6217 @p6216)) % 1.31/1.54 (step @p6219 :rule nary_cong :premises (@p6218 @p6212) :args ((or (not @t599) @t597))) % 1.31/1.54 (step @p6220 :rule trans :premises (@p6219 @p6203)) % 1.31/1.54 (step @p6221 :rule bool-impl-elim :args (@t599 @t597)) % 1.31/1.54 (step @p6222 :rule trans :premises (@p6221 @p6220)) % 1.31/1.54 (step @p6223 :rule cong :premises (@p6222) :args (@t600)) % 1.31/1.54 (step @p6224 :rule trans :premises (@p6223 @p6202)) % 1.31/1.54 (step @p6225 :rule refl :args (@t602)) % 1.31/1.54 (step @p6226 :rule cong :premises (@p6225 @p6224) :args (@t603)) % 1.31/1.54 (step @p6227 :rule cong :premises (@p6226) :args (@t604)) % 1.31/1.54 (step @p6228 :rule trans :premises (@p6227 @p6177)) % 1.31/1.54 (step @p6229 :rule refl :args (tptp.symdiffE)) % 1.31/1.54 (step @p6230 :rule cong :premises (@p6229 @p6228) :args (@t605)) % 1.31/1.54 (step @p6231 :rule eq_resolve :premises (@p128 @p6230)) % 1.31/1.54 (step @p6232 :rule cong :premises (@p6231 @p6168) :args (@t4278)) % 1.31/1.54 (step @p6233 :rule refl :args (@t2205)) % 1.31/1.54 (step @p6234 :rule refl :args (@t422)) % 1.31/1.54 (step @p6235 :rule cong :premises (@p6234 @p6233) :args ((= @t422 @t2205))) % 1.31/1.54 (step @p6236 :rule symm :premises (@p6235)) % 1.31/1.54 (step @p6237 :rule eq_resolve :premises (@p6234 @p6236)) % 1.31/1.54 (step @p6238 :rule refl :args (@t2206)) % 1.31/1.54 (step @p6239 :rule refl :args (@t568)) % 1.31/1.54 (step @p6240 :rule cong :premises (@p6239 @p6238) :args ((= @t568 @t2206))) % 1.31/1.54 (step @p6241 :rule symm :premises (@p6240)) % 1.31/1.54 (step @p6242 :rule eq_resolve :premises (@p6239 @p6241)) % 1.31/1.54 (step @p6243 :rule cong :premises (@p314 @p6242) :args (@t4279)) % 1.31/1.54 (step @p6244 :rule cong :premises (@p6243) :args (@t4280)) % 1.31/1.54 (step @p6245 :rule nary_cong :premises (@p6244 @p6237) :args (@t4281)) % 1.31/1.54 (step @p6246 :rule cong :premises (@p6245) :args ((forall @t12 @t4281))) % 1.31/1.54 (step @p6247 :rule bool-impl-elim :args (@t4279 @t422)) % 1.31/1.54 (step @p6248 :rule cong :premises (@p6247) :args ((forall @t12 (=> @t4279 @t422)))) % 1.31/1.54 (step @p6249 :rule trans :premises (@p6248 @p6246)) % 1.31/1.54 (step @p6250 :rule refl :args (@t422)) % 1.31/1.54 (step @p6251 :rule eq-symm :args (@t568 tptp.emptyset)) % 1.31/1.54 (step @p6252 :rule cong :premises (@p6251 @p6250) :args (@t593)) % 1.31/1.54 (step @p6253 :rule cong :premises (@p6252) :args (@t594)) % 1.31/1.54 (step @p6254 :rule trans :premises (@p6253 @p6249)) % 1.31/1.54 (step @p6255 :rule refl :args (tptp.setminusSubset1)) % 1.31/1.54 (step @p6256 :rule cong :premises (@p6255 @p6254) :args (@t595)) % 1.31/1.54 (step @p6257 :rule eq_resolve :premises (@p127 @p6256)) % 1.31/1.54 (step @p6258 :rule cong :premises (@p6257 @p6232) :args (@t4282)) % 1.31/1.54 (step @p6259 :rule refl :args ((tptp.subset @t568 @t2))) % 1.31/1.54 (step @p6260 :rule cong :premises (@p6238 @p983) :args (@t2209)) % 1.31/1.54 (step @p6261 :rule trans :premises (@p6260 @p6259)) % 1.31/1.54 (step @p6262 :rule ho_cong :premises (@p1053 @p6238)) % 1.31/1.54 (step @p6263 :rule ho_cong :premises (@p6262 @p983)) % 1.31/1.54 (step @p6264 :rule cong :premises (@p6263 @p6261) :args ((= (_ (_ tptp.subset @t2206) @t2) @t2209))) % 1.31/1.54 (step @p6265 :rule symm :premises (@p6264)) % 1.31/1.54 (step @p6266 :rule refl :args (@t590)) % 1.31/1.54 (step @p6267 :rule eq_resolve :premises (@p6266 @p6265)) % 1.31/1.54 (step @p6268 :rule ho_cong :premises (@p1053 @p6242)) % 1.31/1.54 (step @p6269 :rule ho_cong :premises (@p6268 @p983)) % 1.31/1.54 (step @p6270 :rule trans :premises (@p6269 @p6267)) % 1.31/1.54 (step @p6271 :rule cong :premises (@p6270) :args (@t591)) % 1.31/1.54 (step @p6272 :rule refl :args (tptp.setminusLsub)) % 1.31/1.54 (step @p6273 :rule cong :premises (@p6272 @p6271) :args (@t592)) % 1.31/1.54 (step @p6274 :rule eq_resolve :premises (@p126 @p6273)) % 1.31/1.54 (step @p6275 :rule cong :premises (@p6274 @p6258) :args (@t4283)) % 1.31/1.54 (step @p6276 :rule refl :args ((tptp.in @t4 @t568))) % 1.31/1.54 (step @p6277 :rule cong :premises (@p914 @p6238) :args (@t2211)) % 1.31/1.54 (step @p6278 :rule trans :premises (@p6277 @p6276)) % 1.31/1.54 (step @p6279 :rule ho_cong :premises (@p917 @p6238)) % 1.31/1.54 (step @p6280 :rule cong :premises (@p6279 @p6278) :args ((= (_ @t5 @t2206) @t2211))) % 1.31/1.54 (step @p6281 :rule symm :premises (@p6280)) % 1.31/1.54 (step @p6282 :rule refl :args (@t569)) % 1.31/1.54 (step @p6283 :rule eq_resolve :premises (@p6282 @p6281)) % 1.31/1.54 (step @p6284 :rule ho_cong :premises (@p917 @p6242)) % 1.31/1.54 (step @p6285 :rule trans :premises (@p6284 @p6283)) % 1.31/1.54 (step @p6286 :rule cong :premises (@p6285) :args (@t581)) % 1.31/1.54 (step @p6287 :rule nary_cong :premises (@p6121 @p6286) :args (@t4284)) % 1.31/1.54 (step @p6288 :rule cong :premises (@p6287) :args ((forall @t245 @t4284))) % 1.31/1.54 (step @p6289 :rule bool-impl-elim :args (@t6 @t581)) % 1.31/1.54 (step @p6290 :rule cong :premises (@p6289) :args (@t588)) % 1.31/1.54 (step @p6291 :rule trans :premises (@p6290 @p6288)) % 1.31/1.54 (step @p6292 :rule refl :args (tptp.setminusIRneg)) % 1.31/1.54 (step @p6293 :rule cong :premises (@p6292 @p6291) :args (@t589)) % 1.31/1.54 (step @p6294 :rule eq_resolve :premises (@p125 @p6293)) % 1.31/1.54 (step @p6295 :rule cong :premises (@p6294 @p6275) :args (@t4285)) % 1.31/1.54 (step @p6296 :rule nary_cong :premises (@p935 @p6286) :args (@t4286)) % 1.31/1.54 (step @p6297 :rule cong :premises (@p6296) :args ((forall @t245 @t4286))) % 1.31/1.54 (step @p6298 :rule refl :args (@t581)) % 1.31/1.54 (step @p6299 :rule nary_cong :premises (@p6110 @p6298) :args ((or @t4255 @t581))) % 1.31/1.54 (step @p6300 :rule bool-impl-elim :args (@t197 @t581)) % 1.31/1.54 (step @p6301 :rule trans :premises (@p6300 @p6299)) % 1.31/1.54 (step @p6302 :rule cong :premises (@p6301) :args (@t586)) % 1.31/1.54 (step @p6303 :rule trans :premises (@p6302 @p6297)) % 1.31/1.54 (step @p6304 :rule refl :args (tptp.setminusILneg)) % 1.31/1.54 (step @p6305 :rule cong :premises (@p6304 @p6303) :args (@t587)) % 1.31/1.54 (step @p6306 :rule eq_resolve :premises (@p124 @p6305)) % 1.31/1.54 (step @p6307 :rule cong :premises (@p6306 @p6295) :args (@t4287)) % 1.31/1.54 (step @p6308 :rule nary_cong :premises (@p6285 @p6098 @p936) :args (@t4288)) % 1.31/1.54 (step @p6309 :rule cong :premises (@p6308) :args ((forall @t245 @t4288))) % 1.31/1.54 (step @p6310 :rule aci_norm :args ((= (or @t569 @t4289) @t4288))) % 1.31/1.54 (step @p6311 :rule nary_cong :premises (@p6103 @p941) :args ((or @t4254 @t197))) % 1.31/1.54 (step @p6312 :rule bool-impl-elim :args (@t437 @t197)) % 1.31/1.54 (step @p6313 :rule trans :premises (@p6312 @p6311)) % 1.31/1.54 (step @p6314 :rule nary_cong :premises (@p6282 @p6313) :args ((or @t569 @t438))) % 1.31/1.54 (step @p6315 :rule trans :premises (@p6314 @p6310)) % 1.31/1.54 (step @p6316 :rule refl :args (@t438)) % 1.31/1.54 (step @p6317 :rule bool-double-not-elim :args (@t569)) % 1.31/1.54 (step @p6318 :rule nary_cong :premises (@p6317 @p6316) :args ((or @t4290 @t438))) % 1.31/1.54 (step @p6319 :rule bool-impl-elim :args (@t581 @t438)) % 1.31/1.54 (step @p6320 :rule trans :premises (@p6319 @p6318)) % 1.31/1.54 (step @p6321 :rule trans :premises (@p6320 @p6315)) % 1.31/1.54 (step @p6322 :rule cong :premises (@p6321) :args (@t584)) % 1.31/1.54 (step @p6323 :rule trans :premises (@p6322 @p6309)) % 1.31/1.54 (step @p6324 :rule refl :args (tptp.setminusELneg)) % 1.31/1.54 (step @p6325 :rule cong :premises (@p6324 @p6323) :args (@t585)) % 1.31/1.54 (step @p6326 :rule eq_resolve :premises (@p123 @p6325)) % 1.31/1.54 (step @p6327 :rule cong :premises (@p6326 @p6307) :args (@t4291)) % 1.31/1.54 (step @p6328 :rule nary_cong :premises (@p6285 @p936 @p6098) :args (@t4292)) % 1.31/1.54 (step @p6329 :rule cong :premises (@p6328) :args ((forall @t245 @t4292))) % 1.31/1.54 (step @p6330 :rule aci_norm :args ((= (or @t569 @t4293) @t4292))) % 1.31/1.54 (step @p6331 :rule bool-impl-elim :args (@t7 @t6)) % 1.31/1.54 (step @p6332 :rule nary_cong :premises (@p6282 @p6331) :args ((or @t569 @t191))) % 1.31/1.54 (step @p6333 :rule trans :premises (@p6332 @p6330)) % 1.31/1.54 (step @p6334 :rule refl :args (@t191)) % 1.31/1.54 (step @p6335 :rule nary_cong :premises (@p6317 @p6334) :args ((or @t4290 @t191))) % 1.31/1.54 (step @p6336 :rule bool-impl-elim :args (@t581 @t191)) % 1.31/1.54 (step @p6337 :rule trans :premises (@p6336 @p6335)) % 1.31/1.54 (step @p6338 :rule trans :premises (@p6337 @p6333)) % 1.31/1.54 (step @p6339 :rule cong :premises (@p6338) :args (@t582)) % 1.31/1.54 (step @p6340 :rule trans :premises (@p6339 @p6329)) % 1.31/1.54 (step @p6341 :rule refl :args (tptp.setminusERneg)) % 1.31/1.54 (step @p6342 :rule cong :premises (@p6341 @p6340) :args (@t583)) % 1.31/1.54 (step @p6343 :rule eq_resolve :premises (@p122 @p6342)) % 1.31/1.54 (step @p6344 :rule cong :premises (@p6343 @p6327) :args (@t4294)) % 1.31/1.54 (step @p6345 :rule cong :premises (@p6237) :args (@t441)) % 1.31/1.54 (step @p6346 :rule nary_cong :premises (@p6345 @p6243) :args (@t4295)) % 1.31/1.54 (step @p6347 :rule cong :premises (@p6346) :args ((forall @t12 @t4295))) % 1.31/1.54 (step @p6348 :rule bool-impl-elim :args (@t422 @t4279)) % 1.31/1.54 (step @p6349 :rule cong :premises (@p6348) :args ((forall @t12 (=> @t422 @t4279)))) % 1.31/1.54 (step @p6350 :rule trans :premises (@p6349 @p6347)) % 1.31/1.54 (step @p6351 :rule cong :premises (@p6250 @p6251) :args (@t578)) % 1.31/1.54 (step @p6352 :rule cong :premises (@p6351) :args (@t579)) % 1.31/1.54 (step @p6353 :rule trans :premises (@p6352 @p6350)) % 1.31/1.54 (step @p6354 :rule refl :args (tptp.setminusSubset2)) % 1.31/1.54 (step @p6355 :rule cong :premises (@p6354 @p6353) :args (@t580)) % 1.31/1.54 (step @p6356 :rule eq_resolve :premises (@p121 @p6355)) % 1.31/1.54 (step @p6357 :rule cong :premises (@p6356 @p6344) :args (@t4296)) % 1.31/1.54 (step @p6358 :rule nary_cong :premises (@p6286 @p6121) :args (@t4297)) % 1.31/1.54 (step @p6359 :rule cong :premises (@p6358) :args ((forall @t245 @t4297))) % 1.31/1.54 (step @p6360 :rule bool-impl-elim :args (@t569 @t437)) % 1.31/1.54 (step @p6361 :rule cong :premises (@p6360) :args (@t575)) % 1.31/1.54 (step @p6362 :rule trans :premises (@p6361 @p6359)) % 1.31/1.54 (step @p6363 :rule refl :args (tptp.setminusER)) % 1.31/1.54 (step @p6364 :rule cong :premises (@p6363 @p6362) :args (@t576)) % 1.31/1.54 (step @p6365 :rule eq_resolve :premises (@p120 @p6364)) % 1.31/1.54 (step @p6366 :rule cong :premises (@p6365 @p6357) :args (@t4298)) % 1.31/1.54 (step @p6367 :rule nary_cong :premises (@p6286 @p935) :args (@t4299)) % 1.31/1.54 (step @p6368 :rule cong :premises (@p6367) :args ((forall @t245 @t4299))) % 1.31/1.54 (step @p6369 :rule bool-impl-elim :args (@t569 @t7)) % 1.31/1.54 (step @p6370 :rule cong :premises (@p6369) :args (@t573)) % 1.31/1.54 (step @p6371 :rule trans :premises (@p6370 @p6368)) % 1.31/1.54 (step @p6372 :rule refl :args (tptp.setminusEL)) % 1.31/1.54 (step @p6373 :rule cong :premises (@p6372 @p6371) :args (@t574)) % 1.31/1.54 (step @p6374 :rule eq_resolve :premises (@p119 @p6373)) % 1.31/1.54 (step @p6375 :rule cong :premises (@p6374 @p6366) :args (@t4300)) % 1.31/1.54 (step @p6376 :rule nary_cong :premises (@p936 @p6098 @p6285) :args (@t4301)) % 1.31/1.54 (step @p6377 :rule cong :premises (@p6376) :args ((forall @t245 @t4301))) % 1.31/1.54 (step @p6378 :rule aci_norm :args ((= (or @t197 (or @t6 @t569)) @t4301))) % 1.31/1.54 (step @p6379 :rule nary_cong :premises (@p6103 @p6282) :args ((or @t4254 @t569))) % 1.31/1.54 (step @p6380 :rule bool-impl-elim :args (@t437 @t569)) % 1.31/1.54 (step @p6381 :rule trans :premises (@p6380 @p6379)) % 1.31/1.54 (step @p6382 :rule nary_cong :premises (@p941 @p6381) :args ((or @t197 @t570))) % 1.31/1.54 (step @p6383 :rule trans :premises (@p6382 @p6378)) % 1.31/1.54 (step @p6384 :rule bool-impl-elim :args (@t7 @t570)) % 1.31/1.54 (step @p6385 :rule trans :premises (@p6384 @p6383)) % 1.31/1.54 (step @p6386 :rule cong :premises (@p6385) :args (@t571)) % 1.31/1.54 (step @p6387 :rule trans :premises (@p6386 @p6377)) % 1.31/1.54 (step @p6388 :rule refl :args (tptp.setminusI)) % 1.31/1.54 (step @p6389 :rule cong :premises (@p6388 @p6387) :args (@t572)) % 1.31/1.54 (step @p6390 :rule eq_resolve :premises (@p118 @p6389)) % 1.31/1.54 (step @p6391 :rule cong :premises (@p6390 @p6375) :args (@t4302)) % 1.31/1.54 (step @p6392 :rule refl :args ((tptp.binunion @t517 @t560))) % 1.31/1.54 (step @p6393 :rule refl :args (@t2222)) % 1.31/1.54 (step @p6394 :rule refl :args (@t2223)) % 1.31/1.54 (step @p6395 :rule cong :premises (@p6394 @p6393) :args (@t2224)) % 1.31/1.54 (step @p6396 :rule trans :premises (@p6395 @p6392)) % 1.31/1.54 (step @p6397 :rule refl :args (tptp.binunion)) % 1.31/1.54 (step @p6398 :rule ho_cong :premises (@p6397 @p6394)) % 1.31/1.54 (step @p6399 :rule ho_cong :premises (@p6398 @p6393)) % 1.31/1.54 (step @p6400 :rule cong :premises (@p6399 @p6396) :args ((= (_ (_ tptp.binunion @t2223) @t2222) @t2224))) % 1.31/1.54 (step @p6401 :rule symm :premises (@p6400)) % 1.31/1.54 (step @p6402 :rule refl :args (@t561)) % 1.31/1.54 (step @p6403 :rule eq_resolve :premises (@p6402 @p6401)) % 1.31/1.54 (step @p6404 :rule refl :args (@t560)) % 1.31/1.54 (step @p6405 :rule cong :premises (@p6404 @p6393) :args ((= @t560 @t2222))) % 1.31/1.54 (step @p6406 :rule symm :premises (@p6405)) % 1.31/1.54 (step @p6407 :rule eq_resolve :premises (@p6404 @p6406)) % 1.31/1.54 (step @p6408 :rule refl :args (@t517)) % 1.31/1.54 (step @p6409 :rule cong :premises (@p6408 @p6394) :args ((= @t517 @t2223))) % 1.31/1.54 (step @p6410 :rule symm :premises (@p6409)) % 1.31/1.54 (step @p6411 :rule eq_resolve :premises (@p6408 @p6410)) % 1.31/1.54 (step @p6412 :rule ho_cong :premises (@p6397 @p6411)) % 1.31/1.54 (step @p6413 :rule ho_cong :premises (@p6412 @p6407)) % 1.31/1.54 (step @p6414 :rule trans :premises (@p6413 @p6403)) % 1.31/1.54 (step @p6415 :rule refl :args ((tptp.binintersect @t2 @t562))) % 1.31/1.54 (step @p6416 :rule refl :args (@t2225)) % 1.31/1.54 (step @p6417 :rule cong :premises (@p983 @p6416) :args (@t2226)) % 1.31/1.54 (step @p6418 :rule trans :premises (@p6417 @p6415)) % 1.31/1.54 (step @p6419 :rule refl :args (@t516)) % 1.31/1.54 (step @p6420 :rule ho_cong :premises (@p6419 @p6416)) % 1.31/1.54 (step @p6421 :rule cong :premises (@p6420 @p6418) :args ((= (_ @t516 @t2225) @t2226))) % 1.31/1.54 (step @p6422 :rule symm :premises (@p6421)) % 1.31/1.54 (step @p6423 :rule refl :args (@t563)) % 1.31/1.54 (step @p6424 :rule eq_resolve :premises (@p6423 @p6422)) % 1.31/1.54 (step @p6425 :rule refl :args (@t562)) % 1.31/1.54 (step @p6426 :rule cong :premises (@p6425 @p6416) :args ((= @t562 @t2225))) % 1.31/1.54 (step @p6427 :rule symm :premises (@p6426)) % 1.31/1.54 (step @p6428 :rule eq_resolve :premises (@p6425 @p6427)) % 1.31/1.54 (step @p6429 :rule ho_cong :premises (@p6419 @p6428)) % 1.31/1.54 (step @p6430 :rule trans :premises (@p6429 @p6424)) % 1.31/1.54 (step @p6431 :rule cong :premises (@p6430 @p6414) :args (@t564)) % 1.31/1.54 (step @p6432 :rule cong :premises (@p6431) :args (@t565)) % 1.31/1.54 (step @p6433 :rule refl :args (tptp.bs114d)) % 1.31/1.54 (step @p6434 :rule cong :premises (@p6433 @p6432) :args (@t566)) % 1.31/1.54 (step @p6435 :rule eq_resolve :premises (@p117 @p6434)) % 1.31/1.54 (step @p6436 :rule cong :premises (@p6435 @p6391) :args (@t4303)) % 1.31/1.54 (step @p6437 :rule cong :premises (@p983 @p6411) :args (@t4304)) % 1.31/1.54 (step @p6438 :rule cong :premises (@p6437) :args (@t4305)) % 1.31/1.54 (step @p6439 :rule nary_cong :premises (@p6438 @p6237) :args (@t4306)) % 1.31/1.54 (step @p6440 :rule cong :premises (@p6439) :args ((forall @t12 @t4306))) % 1.31/1.54 (step @p6441 :rule bool-impl-elim :args (@t4304 @t422)) % 1.31/1.54 (step @p6442 :rule cong :premises (@p6441) :args ((forall @t12 (=> @t4304 @t422)))) % 1.31/1.54 (step @p6443 :rule trans :premises (@p6442 @p6440)) % 1.31/1.54 (step @p6444 :rule eq-symm :args (@t517 @t2)) % 1.31/1.54 (step @p6445 :rule cong :premises (@p6444 @p6250) :args (@t557)) % 1.31/1.54 (step @p6446 :rule cong :premises (@p6445) :args (@t558)) % 1.31/1.54 (step @p6447 :rule trans :premises (@p6446 @p6443)) % 1.31/1.54 (step @p6448 :rule refl :args (tptp.binintersectSubset1)) % 1.31/1.54 (step @p6449 :rule cong :premises (@p6448 @p6447) :args (@t559)) % 1.31/1.54 (step @p6450 :rule eq_resolve :premises (@p116 @p6449)) % 1.31/1.54 (step @p6451 :rule cong :premises (@p6450 @p6436) :args (@t4307)) % 1.31/1.54 (step @p6452 :rule cong :premises (@p2994 @p6411) :args (@t4308)) % 1.31/1.54 (step @p6453 :rule refl :args (@t2231)) % 1.31/1.54 (step @p6454 :rule refl :args (@t427)) % 1.31/1.54 (step @p6455 :rule cong :premises (@p6454 @p6453) :args ((= @t427 @t2231))) % 1.31/1.54 (step @p6456 :rule symm :premises (@p6455)) % 1.31/1.54 (step @p6457 :rule eq_resolve :premises (@p6454 @p6456)) % 1.31/1.54 (step @p6458 :rule cong :premises (@p6457) :args (@t4309)) % 1.31/1.54 (step @p6459 :rule nary_cong :premises (@p6458 @p6452) :args (@t4310)) % 1.31/1.54 (step @p6460 :rule cong :premises (@p6459) :args ((forall @t12 @t4310))) % 1.31/1.54 (step @p6461 :rule bool-impl-elim :args (@t427 @t4308)) % 1.31/1.54 (step @p6462 :rule cong :premises (@p6461) :args ((forall @t12 (=> @t427 @t4308)))) % 1.31/1.54 (step @p6463 :rule trans :premises (@p6462 @p6460)) % 1.31/1.54 (step @p6464 :rule eq-symm :args (@t517 @t1)) % 1.31/1.54 (step @p6465 :rule refl :args (@t427)) % 1.31/1.54 (step @p6466 :rule cong :premises (@p6465 @p6464) :args (@t554)) % 1.31/1.54 (step @p6467 :rule cong :premises (@p6466) :args (@t555)) % 1.31/1.54 (step @p6468 :rule trans :premises (@p6467 @p6463)) % 1.31/1.54 (step @p6469 :rule refl :args (tptp.binintersectSubset4)) % 1.31/1.54 (step @p6470 :rule cong :premises (@p6469 @p6468) :args (@t556)) % 1.31/1.54 (step @p6471 :rule eq_resolve :premises (@p115 @p6470)) % 1.31/1.54 (step @p6472 :rule cong :premises (@p6471 @p6451) :args (@t4311)) % 1.31/1.54 (step @p6473 :rule refl :args ((tptp.subset @t517 @t1))) % 1.31/1.54 (step @p6474 :rule cong :premises (@p6394 @p2994) :args (@t2234)) % 1.31/1.54 (step @p6475 :rule trans :premises (@p6474 @p6473)) % 1.31/1.54 (step @p6476 :rule ho_cong :premises (@p1053 @p6394)) % 1.31/1.54 (step @p6477 :rule ho_cong :premises (@p6476 @p2994)) % 1.31/1.54 (step @p6478 :rule cong :premises (@p6477 @p6475) :args ((= (_ @t4312 @t1) @t2234))) % 1.31/1.54 (step @p6479 :rule symm :premises (@p6478)) % 1.31/1.54 (step @p6480 :rule refl :args (@t551)) % 1.31/1.54 (step @p6481 :rule eq_resolve :premises (@p6480 @p6479)) % 1.31/1.54 (step @p6482 :rule ho_cong :premises (@p1053 @p6411)) % 1.31/1.54 (step @p6483 :rule ho_cong :premises (@p6482 @p2994)) % 1.31/1.54 (step @p6484 :rule trans :premises (@p6483 @p6481)) % 1.31/1.54 (step @p6485 :rule cong :premises (@p6484) :args (@t552)) % 1.31/1.54 (step @p6486 :rule refl :args (tptp.binintersectRsub)) % 1.31/1.54 (step @p6487 :rule cong :premises (@p6486 @p6485) :args (@t553)) % 1.31/1.54 (step @p6488 :rule eq_resolve :premises (@p114 @p6487)) % 1.31/1.54 (step @p6489 :rule cong :premises (@p6488 @p6472) :args (@t4313)) % 1.31/1.54 (step @p6490 :rule cong :premises (@p314 @p6411) :args (@t4314)) % 1.31/1.54 (step @p6491 :rule refl :args (@t2237)) % 1.31/1.54 (step @p6492 :rule nary_cong :premises (@p6491 @p6490) :args (@t4315)) % 1.31/1.54 (step @p6493 :rule cong :premises (@p6492) :args ((forall @t12 @t4315))) % 1.31/1.54 (step @p6494 :rule bool-impl-elim :args (@t2236 @t4314)) % 1.31/1.54 (step @p6495 :rule cong :premises (@p6494) :args ((forall @t12 (=> @t2236 @t4314)))) % 1.31/1.54 (step @p6496 :rule trans :premises (@p6495 @p6493)) % 1.31/1.54 (step @p6497 :rule eq-symm :args (@t517 tptp.emptyset)) % 1.31/1.54 (step @p6498 :rule bool-double-not-elim :args (@t2236)) % 1.31/1.54 (step @p6499 :rule nary_cong :premises (@p936 @p6121) :args (@t4316)) % 1.31/1.54 (step @p6500 :rule cong :premises (@p6499) :args ((forall @t9 @t4316))) % 1.31/1.54 (step @p6501 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 1.31/1.54 (step @p6502 :rule cong :premises (@p6501) :args (@t4317)) % 1.31/1.54 (step @p6503 :rule trans :premises (@p6502 @p6500)) % 1.31/1.54 (step @p6504 :rule cong :premises (@p6503) :args (@t4318)) % 1.31/1.54 (step @p6505 :rule exists-elim :args ((= @t546 @t4318))) % 1.31/1.54 (step @p6506 :rule trans :premises (@p6505 @p6504)) % 1.31/1.54 (step @p6507 :rule cong :premises (@p6506) :args (@t547)) % 1.31/1.54 (step @p6508 :rule trans :premises (@p6507 @p6498)) % 1.31/1.54 (step @p6509 :rule cong :premises (@p6508 @p6497) :args (@t548)) % 1.31/1.54 (step @p6510 :rule cong :premises (@p6509) :args (@t549)) % 1.31/1.54 (step @p6511 :rule trans :premises (@p6510 @p6496)) % 1.31/1.54 (step @p6512 :rule refl :args (tptp.disjointsetsI1)) % 1.31/1.54 (step @p6513 :rule cong :premises (@p6512 @p6511) :args (@t550)) % 1.31/1.54 (step @p6514 :rule eq_resolve :premises (@p113 @p6513)) % 1.31/1.54 (step @p6515 :rule cong :premises (@p6514 @p6489) :args (@t4319)) % 1.31/1.54 (step @p6516 :rule refl :args ((tptp.in @t4 @t517))) % 1.31/1.54 (step @p6517 :rule cong :premises (@p914 @p6394) :args (@t2239)) % 1.31/1.54 (step @p6518 :rule trans :premises (@p6517 @p6516)) % 1.31/1.54 (step @p6519 :rule ho_cong :premises (@p917 @p6394)) % 1.31/1.54 (step @p6520 :rule cong :premises (@p6519 @p6518) :args ((= (_ @t5 @t2223) @t2239))) % 1.31/1.54 (step @p6521 :rule symm :premises (@p6520)) % 1.31/1.54 (step @p6522 :rule refl :args (@t518)) % 1.31/1.54 (step @p6523 :rule eq_resolve :premises (@p6522 @p6521)) % 1.31/1.54 (step @p6524 :rule ho_cong :premises (@p917 @p6411)) % 1.31/1.54 (step @p6525 :rule trans :premises (@p6524 @p6523)) % 1.31/1.54 (step @p6526 :rule cong :premises (@p6525) :args (@t4320)) % 1.31/1.54 (step @p6527 :rule nary_cong :premises (@p6526 @p6098) :args (@t4321)) % 1.31/1.54 (step @p6528 :rule cong :premises (@p6527) :args ((forall @t245 @t4321))) % 1.31/1.54 (step @p6529 :rule bool-impl-elim :args (@t518 @t6)) % 1.31/1.54 (step @p6530 :rule cong :premises (@p6529) :args (@t543)) % 1.31/1.54 (step @p6531 :rule trans :premises (@p6530 @p6528)) % 1.31/1.54 (step @p6532 :rule refl :args (tptp.binintersectER)) % 1.31/1.54 (step @p6533 :rule cong :premises (@p6532 @p6531) :args (@t544)) % 1.31/1.54 (step @p6534 :rule eq_resolve :premises (@p112 @p6533)) % 1.31/1.54 (step @p6535 :rule cong :premises (@p6534 @p6515) :args (@t4322)) % 1.31/1.54 (step @p6536 :rule cong :premises (@p6452) :args (@t4323)) % 1.31/1.54 (step @p6537 :rule nary_cong :premises (@p6536 @p6457) :args (@t4324)) % 1.31/1.54 (step @p6538 :rule cong :premises (@p6537) :args ((forall @t12 @t4324))) % 1.31/1.54 (step @p6539 :rule bool-impl-elim :args (@t4308 @t427)) % 1.31/1.54 (step @p6540 :rule cong :premises (@p6539) :args ((forall @t12 (=> @t4308 @t427)))) % 1.31/1.54 (step @p6541 :rule trans :premises (@p6540 @p6538)) % 1.31/1.54 (step @p6542 :rule cong :premises (@p6464 @p6465) :args (@t540)) % 1.31/1.54 (step @p6543 :rule cong :premises (@p6542) :args (@t541)) % 1.31/1.54 (step @p6544 :rule trans :premises (@p6543 @p6541)) % 1.31/1.54 (step @p6545 :rule refl :args (tptp.binintersectSubset3)) % 1.31/1.54 (step @p6546 :rule cong :premises (@p6545 @p6544) :args (@t542)) % 1.31/1.54 (step @p6547 :rule eq_resolve :premises (@p111 @p6546)) % 1.31/1.54 (step @p6548 :rule cong :premises (@p6547 @p6535) :args (@t4325)) % 1.31/1.54 (step @p6549 :rule nary_cong :premises (@p6345 @p6437) :args (@t4326)) % 1.31/1.54 (step @p6550 :rule cong :premises (@p6549) :args ((forall @t12 @t4326))) % 1.31/1.54 (step @p6551 :rule bool-impl-elim :args (@t422 @t4304)) % 1.31/1.54 (step @p6552 :rule cong :premises (@p6551) :args ((forall @t12 (=> @t422 @t4304)))) % 1.31/1.54 (step @p6553 :rule trans :premises (@p6552 @p6550)) % 1.31/1.54 (step @p6554 :rule cong :premises (@p6250 @p6444) :args (@t536)) % 1.31/1.54 (step @p6555 :rule cong :premises (@p6554) :args (@t537)) % 1.31/1.54 (step @p6556 :rule trans :premises (@p6555 @p6553)) % 1.31/1.54 (step @p6557 :rule refl :args (tptp.binintersectSubset2)) % 1.31/1.54 (step @p6558 :rule cong :premises (@p6557 @p6556) :args (@t538)) % 1.31/1.54 (step @p6559 :rule eq_resolve :premises (@p110 @p6558)) % 1.31/1.54 (step @p6560 :rule cong :premises (@p6559 @p6548) :args (@t4327)) % 1.31/1.54 (step @p6561 :rule refl :args ((tptp.subset @t517 @t2))) % 1.31/1.54 (step @p6562 :rule cong :premises (@p6394 @p983) :args (@t2244)) % 1.31/1.54 (step @p6563 :rule trans :premises (@p6562 @p6561)) % 1.31/1.54 (step @p6564 :rule ho_cong :premises (@p6476 @p983)) % 1.31/1.54 (step @p6565 :rule cong :premises (@p6564 @p6563) :args ((= (_ @t4312 @t2) @t2244))) % 1.31/1.54 (step @p6566 :rule symm :premises (@p6565)) % 1.31/1.54 (step @p6567 :rule refl :args (@t532)) % 1.31/1.54 (step @p6568 :rule eq_resolve :premises (@p6567 @p6566)) % 1.31/1.54 (step @p6569 :rule ho_cong :premises (@p6482 @p983)) % 1.31/1.54 (step @p6570 :rule trans :premises (@p6569 @p6568)) % 1.31/1.54 (step @p6571 :rule cong :premises (@p6570) :args (@t533)) % 1.31/1.54 (step @p6572 :rule refl :args (tptp.binintersectLsub)) % 1.31/1.54 (step @p6573 :rule cong :premises (@p6572 @p6571) :args (@t534)) % 1.31/1.54 (step @p6574 :rule eq_resolve :premises (@p109 @p6573)) % 1.31/1.54 (step @p6575 :rule cong :premises (@p6574 @p6560) :args (@t4328)) % 1.31/1.54 (step @p6576 :rule nary_cong :premises (@p6526 @p935) :args (@t4329)) % 1.31/1.54 (step @p6577 :rule cong :premises (@p6576) :args ((forall @t245 @t4329))) % 1.31/1.54 (step @p6578 :rule bool-impl-elim :args (@t518 @t7)) % 1.31/1.54 (step @p6579 :rule cong :premises (@p6578) :args (@t529)) % 1.31/1.54 (step @p6580 :rule trans :premises (@p6579 @p6577)) % 1.31/1.54 (step @p6581 :rule refl :args (tptp.binintersectEL)) % 1.31/1.54 (step @p6582 :rule cong :premises (@p6581 @p6580) :args (@t530)) % 1.31/1.54 (step @p6583 :rule eq_resolve :premises (@p108 @p6582)) % 1.31/1.54 (step @p6584 :rule cong :premises (@p6583 @p6575) :args (@t4330)) % 1.31/1.54 (step @p6585 :rule refl :args ((tptp.subset @t104 @t517))) % 1.31/1.54 (step @p6586 :rule refl :args (@t104)) % 1.31/1.54 (step @p6587 :rule cong :premises (@p6586 @p6394) :args (@t2247)) % 1.31/1.54 (step @p6588 :rule trans :premises (@p6587 @p6585)) % 1.31/1.54 (step @p6589 :rule refl :args (@t522)) % 1.31/1.54 (step @p6590 :rule ho_cong :premises (@p6589 @p6394)) % 1.31/1.54 (step @p6591 :rule cong :premises (@p6590 @p6588) :args ((= (_ @t522 @t2223) @t2247))) % 1.31/1.54 (step @p6592 :rule symm :premises (@p6591)) % 1.31/1.54 (step @p6593 :rule refl :args (@t523)) % 1.31/1.54 (step @p6594 :rule eq_resolve :premises (@p6593 @p6592)) % 1.31/1.54 (step @p6595 :rule ho_cong :premises (@p6589 @p6411)) % 1.31/1.54 (step @p6596 :rule trans :premises (@p6595 @p6594)) % 1.31/1.54 (step @p6597 :rule refl :args (@t2248)) % 1.31/1.54 (step @p6598 :rule refl :args (@t524)) % 1.31/1.54 (step @p6599 :rule cong :premises (@p6598 @p6597) :args ((= @t524 @t2248))) % 1.31/1.54 (step @p6600 :rule symm :premises (@p6599)) % 1.31/1.54 (step @p6601 :rule eq_resolve :premises (@p6598 @p6600)) % 1.31/1.54 (step @p6602 :rule cong :premises (@p6601) :args (@t4331)) % 1.31/1.54 (step @p6603 :rule refl :args (@t2249)) % 1.31/1.54 (step @p6604 :rule refl :args (@t526)) % 1.31/1.54 (step @p6605 :rule cong :premises (@p6604 @p6603) :args ((= @t526 @t2249))) % 1.31/1.54 (step @p6606 :rule symm :premises (@p6605)) % 1.31/1.54 (step @p6607 :rule eq_resolve :premises (@p6604 @p6606)) % 1.31/1.54 (step @p6608 :rule cong :premises (@p6607) :args (@t4332)) % 1.31/1.54 (step @p6609 :rule nary_cong :premises (@p6608 @p6602 @p6596) :args (@t4333)) % 1.31/1.54 (step @p6610 :rule cong :premises (@p6609) :args ((forall @t457 @t4333))) % 1.31/1.54 (step @p6611 :rule aci_norm :args ((= (or @t4332 (or @t4331 @t523)) @t4333))) % 1.31/1.54 (step @p6612 :rule bool-impl-elim :args (@t524 @t523)) % 1.31/1.54 (step @p6613 :rule refl :args (@t4332)) % 1.31/1.54 (step @p6614 :rule nary_cong :premises (@p6613 @p6612) :args ((or @t4332 @t525))) % 1.31/1.54 (step @p6615 :rule trans :premises (@p6614 @p6611)) % 1.31/1.54 (step @p6616 :rule bool-impl-elim :args (@t526 @t525)) % 1.31/1.54 (step @p6617 :rule trans :premises (@p6616 @p6615)) % 1.31/1.54 (step @p6618 :rule cong :premises (@p6617) :args (@t527)) % 1.31/1.54 (step @p6619 :rule trans :premises (@p6618 @p6610)) % 1.31/1.54 (step @p6620 :rule refl :args (tptp.binintersectSubset5)) % 1.31/1.54 (step @p6621 :rule cong :premises (@p6620 @p6619) :args (@t528)) % 1.31/1.54 (step @p6622 :rule eq_resolve :premises (@p107 @p6621)) % 1.31/1.54 (step @p6623 :rule cong :premises (@p6622 @p6584) :args (@t4334)) % 1.31/1.54 (step @p6624 :rule nary_cong :premises (@p936 @p6121 @p6525) :args (@t4335)) % 1.31/1.54 (step @p6625 :rule cong :premises (@p6624) :args ((forall @t245 @t4335))) % 1.31/1.54 (step @p6626 :rule aci_norm :args ((= (or @t197 (or @t437 @t518)) @t4335))) % 1.31/1.54 (step @p6627 :rule bool-impl-elim :args (@t6 @t518)) % 1.31/1.54 (step @p6628 :rule nary_cong :premises (@p941 @p6627) :args ((or @t197 @t519))) % 1.31/1.54 (step @p6629 :rule trans :premises (@p6628 @p6626)) % 1.31/1.54 (step @p6630 :rule bool-impl-elim :args (@t7 @t519)) % 1.31/1.54 (step @p6631 :rule trans :premises (@p6630 @p6629)) % 1.31/1.54 (step @p6632 :rule cong :premises (@p6631) :args (@t520)) % 1.31/1.54 (step @p6633 :rule trans :premises (@p6632 @p6625)) % 1.31/1.54 (step @p6634 :rule refl :args (tptp.binintersectI)) % 1.31/1.54 (step @p6635 :rule cong :premises (@p6634 @p6633) :args (@t521)) % 1.31/1.54 (step @p6636 :rule eq_resolve :premises (@p106 @p6635)) % 1.31/1.54 (step @p6637 :rule cong :premises (@p6636 @p6623) :args (@t4336)) % 1.31/1.54 (step @p6638 :rule refl :args ((tptp.subset @t1 @t494))) % 1.31/1.54 (step @p6639 :rule cong :premises (@p2994 @p5684) :args (@t2252)) % 1.31/1.54 (step @p6640 :rule trans :premises (@p6639 @p6638)) % 1.31/1.54 (step @p6641 :rule refl :args (@t426)) % 1.31/1.54 (step @p6642 :rule ho_cong :premises (@p6641 @p5684)) % 1.31/1.54 (step @p6643 :rule cong :premises (@p6642 @p6640) :args ((= (_ @t426 @t2140) @t2252))) % 1.31/1.54 (step @p6644 :rule symm :premises (@p6643)) % 1.31/1.54 (step @p6645 :rule refl :args (@t513)) % 1.31/1.54 (step @p6646 :rule eq_resolve :premises (@p6645 @p6644)) % 1.31/1.54 (step @p6647 :rule ho_cong :premises (@p6641 @p5709)) % 1.31/1.54 (step @p6648 :rule trans :premises (@p6647 @p6646)) % 1.31/1.54 (step @p6649 :rule cong :premises (@p6648) :args (@t514)) % 1.31/1.54 (step @p6650 :rule refl :args (tptp.binunionRsub)) % 1.31/1.54 (step @p6651 :rule cong :premises (@p6650 @p6649) :args (@t515)) % 1.31/1.54 (step @p6652 :rule eq_resolve :premises (@p105 @p6651)) % 1.31/1.54 (step @p6653 :rule cong :premises (@p6652 @p6637) :args (@t4337)) % 1.31/1.54 (step @p6654 :rule refl :args ((tptp.subset @t2 @t494))) % 1.31/1.54 (step @p6655 :rule cong :premises (@p983 @p5684) :args (@t2254)) % 1.31/1.54 (step @p6656 :rule trans :premises (@p6655 @p6654)) % 1.31/1.54 (step @p6657 :rule ho_cong :premises (@p5489 @p5684)) % 1.31/1.54 (step @p6658 :rule cong :premises (@p6657 @p6656) :args ((= (_ @t421 @t2140) @t2254))) % 1.31/1.54 (step @p6659 :rule symm :premises (@p6658)) % 1.31/1.54 (step @p6660 :rule refl :args (@t510)) % 1.31/1.54 (step @p6661 :rule eq_resolve :premises (@p6660 @p6659)) % 1.31/1.54 (step @p6662 :rule ho_cong :premises (@p5489 @p5709)) % 1.31/1.54 (step @p6663 :rule trans :premises (@p6662 @p6661)) % 1.31/1.54 (step @p6664 :rule cong :premises (@p6663) :args (@t511)) % 1.31/1.54 (step @p6665 :rule refl :args (tptp.binunionLsub)) % 1.31/1.54 (step @p6666 :rule cong :premises (@p6665 @p6664) :args (@t512)) % 1.31/1.54 (step @p6667 :rule eq_resolve :premises (@p104 @p6666)) % 1.31/1.54 (step @p6668 :rule cong :premises (@p6667 @p6653) :args (@t4338)) % 1.31/1.54 (step @p6669 :rule refl :args ((tptp.in @t4 @t494))) % 1.31/1.54 (step @p6670 :rule cong :premises (@p914 @p5684) :args (@t2256)) % 1.31/1.54 (step @p6671 :rule trans :premises (@p6670 @p6669)) % 1.31/1.54 (step @p6672 :rule ho_cong :premises (@p917 @p5684)) % 1.31/1.54 (step @p6673 :rule cong :premises (@p6672 @p6671) :args ((= (_ @t5 @t2140) @t2256))) % 1.31/1.54 (step @p6674 :rule symm :premises (@p6673)) % 1.31/1.54 (step @p6675 :rule refl :args (@t495)) % 1.31/1.54 (step @p6676 :rule eq_resolve :premises (@p6675 @p6674)) % 1.31/1.54 (step @p6677 :rule ho_cong :premises (@p917 @p5709)) % 1.31/1.54 (step @p6678 :rule trans :premises (@p6677 @p6676)) % 1.31/1.54 (step @p6679 :rule cong :premises (@p6678) :args (@t4339)) % 1.31/1.54 (step @p6680 :rule nary_cong :premises (@p6679 @p935 @p6098) :args (@t4340)) % 1.31/1.54 (step @p6681 :rule cong :premises (@p6680) :args ((forall @t245 @t4340))) % 1.31/1.54 (step @p6682 :rule aci_norm :args ((= (or @t4339 @t507) @t4340))) % 1.31/1.54 (step @p6683 :rule bool-impl-elim :args (@t495 @t507)) % 1.31/1.54 (step @p6684 :rule trans :premises (@p6683 @p6682)) % 1.31/1.54 (step @p6685 :rule cong :premises (@p6684) :args (@t508)) % 1.31/1.54 (step @p6686 :rule trans :premises (@p6685 @p6681)) % 1.31/1.54 (step @p6687 :rule refl :args (tptp.binunionE)) % 1.31/1.54 (step @p6688 :rule cong :premises (@p6687 @p6686) :args (@t509)) % 1.31/1.54 (step @p6689 :rule eq_resolve :premises (@p103 @p6688)) % 1.31/1.54 (step @p6690 :rule cong :premises (@p6689 @p6668) :args (@t4341)) % 1.31/1.54 (step @p6691 :rule aci_norm :args ((= (and @t2196 true) @t2196))) % 1.31/1.54 (step @p6692 :rule nary_cong :premises (@p6179 @p2797) :args (@t4342)) % 1.31/1.54 (step @p6693 :rule trans :premises (@p6692 @p6691)) % 1.31/1.54 (step @p6694 :rule aci_norm :args ((= (and @t1729 true) @t1729))) % 1.31/1.54 (step @p6695 :rule nary_cong :premises (@p4484 @p2797) :args (@t4343)) % 1.31/1.54 (step @p6696 :rule trans :premises (@p6695 @p6694)) % 1.31/1.54 (step @p6697 :rule refl :args (@t2257)) % 1.31/1.54 (step @p6698 :rule nary_cong :premises (@p6697 @p6696 @p6693) :args (@t4344)) % 1.31/1.54 (step @p6699 :rule aci_norm :args ((= @t4345 @t4344))) % 1.31/1.54 (step @p6700 :rule trans :premises (@p6699 @p6698)) % 1.31/1.54 (step @p6701 :rule cong :premises (@p6700) :args ((forall @t245 @t4345))) % 1.31/1.54 (step @p6702 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t2257 @t4347 @t4346 @t173)) @t4345))) % 1.31/1.54 (step @p6703 :rule refl :args (@t4346)) % 1.31/1.54 (step @p6704 :rule refl :args (@t4347)) % 1.31/1.54 (step @p6705 :rule refl :args (@t2257)) % 1.31/1.54 (step @p6706 :rule nary_cong :premises (@p2290 @p6705 @p6704 @p6703 @p2284) :args (@t4348)) % 1.31/1.54 (step @p6707 :rule aci_norm :args ((= @t4349 @t4348))) % 1.31/1.54 (step @p6708 :rule trans :premises (@p6707 @p6706)) % 1.31/1.54 (step @p6709 :rule cong :premises (@p6708) :args (@t4350)) % 1.31/1.54 (step @p6710 :rule trans :premises (@p6709 @p6702)) % 1.31/1.54 (step @p6711 :rule cong :premises (@p6710) :args (@t4351)) % 1.31/1.54 (step @p6712 :rule quant-merge-prenex :args ((= @t4351 (forall @t504 @t4349)))) % 1.31/1.54 (step @p6713 :rule symm :premises (@p6712)) % 1.31/1.54 (step @p6714 :rule trans :premises (@p6713 @p6711)) % 1.31/1.54 (step @p6715 :rule trans :premises (@p6714 @p6701)) % 1.31/1.54 (step @p6716 :rule nary_cong :premises (@p6098 @p2371) :args (@t4276)) % 1.31/1.54 (step @p6717 :rule nary_cong :premises (@p935 @p2371) :args (@t4352)) % 1.31/1.54 (step @p6718 :rule nary_cong :premises (@p6679 @p6717 @p6716 @p2284) :args (@t4353)) % 1.31/1.54 (step @p6719 :rule cong :premises (@p6718) :args ((forall @t504 @t4353))) % 1.31/1.54 (step @p6720 :rule trans :premises (@p6719 @p6715)) % 1.31/1.54 (step @p6721 :rule aci_norm :args ((= (or @t4339 @t4354) @t4353))) % 1.31/1.54 (step @p6722 :rule aci_norm :args ((= (or @t4352 (or @t4276 @t173)) @t4354))) % 1.31/1.54 (step @p6723 :rule nary_cong :premises (@p6205 @p2284) :args ((or @t4277 @t173))) % 1.31/1.54 (step @p6724 :rule bool-impl-elim :args (@t500 @t173)) % 1.31/1.54 (step @p6725 :rule trans :premises (@p6724 @p6723)) % 1.31/1.54 (step @p6726 :rule bool-implies-de-morgan :args (@t7 @t173)) % 1.31/1.54 (step @p6727 :rule nary_cong :premises (@p6726 @p6725) :args ((or (not @t502) @t501))) % 1.31/1.54 (step @p6728 :rule trans :premises (@p6727 @p6722)) % 1.31/1.54 (step @p6729 :rule bool-impl-elim :args (@t502 @t501)) % 1.31/1.54 (step @p6730 :rule trans :premises (@p6729 @p6728)) % 1.31/1.54 (step @p6731 :rule refl :args (@t4339)) % 1.31/1.54 (step @p6732 :rule nary_cong :premises (@p6731 @p6730) :args ((or @t4339 @t503))) % 1.31/1.54 (step @p6733 :rule trans :premises (@p6732 @p6721)) % 1.31/1.54 (step @p6734 :rule bool-impl-elim :args (@t495 @t503)) % 1.31/1.54 (step @p6735 :rule trans :premises (@p6734 @p6733)) % 1.31/1.54 (step @p6736 :rule cong :premises (@p6735) :args (@t505)) % 1.31/1.54 (step @p6737 :rule trans :premises (@p6736 @p6720)) % 1.31/1.54 (step @p6738 :rule refl :args (tptp.binunionEcases)) % 1.31/1.54 (step @p6739 :rule cong :premises (@p6738 @p6737) :args (@t506)) % 1.31/1.54 (step @p6740 :rule eq_resolve :premises (@p102 @p6739)) % 1.31/1.54 (step @p6741 :rule cong :premises (@p6740 @p6690) :args (@t4355)) % 1.31/1.54 (step @p6742 :rule nary_cong :premises (@p6121 @p6678) :args (@t4356)) % 1.31/1.54 (step @p6743 :rule cong :premises (@p6742) :args ((forall @t245 @t4356))) % 1.31/1.54 (step @p6744 :rule bool-impl-elim :args (@t6 @t495)) % 1.31/1.54 (step @p6745 :rule cong :premises (@p6744) :args (@t498)) % 1.31/1.54 (step @p6746 :rule trans :premises (@p6745 @p6743)) % 1.31/1.54 (step @p6747 :rule refl :args (tptp.binunionIR)) % 1.31/1.54 (step @p6748 :rule cong :premises (@p6747 @p6746) :args (@t499)) % 1.31/1.54 (step @p6749 :rule eq_resolve :premises (@p101 @p6748)) % 1.31/1.54 (step @p6750 :rule cong :premises (@p6749 @p6741) :args (@t4357)) % 1.31/1.54 (step @p6751 :rule eq-symm :args (@t2192 tptp.upairset2IR)) % 1.31/1.54 (step @p6752 :rule refl :args (tptp.upairset2IR)) % 1.31/1.54 (step @p6753 :rule cong :premises (@p6071 @p6752) :args ((= @t304 tptp.upairset2IR))) % 1.31/1.54 (step @p6754 :rule trans :premises (@p6753 @p6751)) % 1.31/1.54 (step @p6755 :rule eq-symm :args (tptp.upairset2IR @t304)) % 1.31/1.54 (step @p6756 :rule trans :premises (@p6755 @p6754)) % 1.31/1.54 (step @p6757 :rule eq_resolve :premises (@p100 @p6756)) % 1.31/1.54 (step @p6758 :rule cong :premises (@p6757 @p6750) :args (@t4358)) % 1.31/1.54 (step @p6759 :rule nary_cong :premises (@p936 @p6678) :args (@t4359)) % 1.31/1.54 (step @p6760 :rule cong :premises (@p6759) :args ((forall @t245 @t4359))) % 1.31/1.54 (step @p6761 :rule bool-impl-elim :args (@t7 @t495)) % 1.31/1.54 (step @p6762 :rule cong :premises (@p6761) :args (@t496)) % 1.31/1.54 (step @p6763 :rule trans :premises (@p6762 @p6760)) % 1.31/1.54 (step @p6764 :rule refl :args (tptp.binunionIL)) % 1.31/1.54 (step @p6765 :rule cong :premises (@p6764 @p6763) :args (@t497)) % 1.31/1.54 (step @p6766 :rule eq_resolve :premises (@p99 @p6765)) % 1.31/1.54 (step @p6767 :rule cong :premises (@p6766 @p6758) :args (@t4360)) % 1.31/1.54 (step @p6768 :rule cong :premises (@p3886 @p2535) :args (@t4361)) % 1.31/1.54 (step @p6769 :rule cong :premises (@p6768) :args ((forall @t311 @t4361))) % 1.31/1.54 (step @p6770 :rule refl :args ((tptp.subset @t306 @t2))) % 1.31/1.54 (step @p6771 :rule cong :premises (@p3898 @p983) :args (@t4361)) % 1.31/1.54 (step @p6772 :rule trans :premises (@p6771 @p6770)) % 1.31/1.54 (step @p6773 :rule ho_cong :premises (@p1053 @p3898)) % 1.31/1.54 (step @p6774 :rule ho_cong :premises (@p6773 @p983)) % 1.31/1.54 (step @p6775 :rule cong :premises (@p6774 @p6772) :args ((= (_ (_ tptp.subset @t3792) @t2) @t4361))) % 1.31/1.54 (step @p6776 :rule symm :premises (@p6775)) % 1.31/1.54 (step @p6777 :rule refl :args (@t491)) % 1.31/1.54 (step @p6778 :rule eq_resolve :premises (@p6777 @p6776)) % 1.31/1.54 (step @p6779 :rule ho_cong :premises (@p1053 @p3918)) % 1.31/1.54 (step @p6780 :rule ho_cong :premises (@p6779 @p983)) % 1.31/1.54 (step @p6781 :rule trans :premises (@p6780 @p6778)) % 1.31/1.54 (step @p6782 :rule cong :premises (@p6781) :args (@t492)) % 1.31/1.54 (step @p6783 :rule trans :premises (@p6782 @p6769)) % 1.31/1.54 (step @p6784 :rule refl :args (tptp.sepSubset)) % 1.31/1.54 (step @p6785 :rule cong :premises (@p6784 @p6783) :args (@t493)) % 1.31/1.54 (step @p6786 :rule eq_resolve :premises (@p98 @p6785)) % 1.31/1.54 (step @p6787 :rule cong :premises (@p6786 @p6767) :args (@t4362)) % 1.31/1.54 (step @p6788 :rule refl :args (@t1594)) % 1.31/1.54 (step @p6789 :rule cong :premises (@p3886 @p6788) :args (@t4363)) % 1.31/1.54 (step @p6790 :rule cong :premises (@p6789) :args ((forall @t311 @t4363))) % 1.31/1.54 (step @p6791 :rule refl :args ((tptp.in @t306 @t33))) % 1.31/1.54 (step @p6792 :rule cong :premises (@p3898 @p782) :args (@t4363)) % 1.31/1.54 (step @p6793 :rule trans :premises (@p6792 @p6791)) % 1.31/1.54 (step @p6794 :rule ho_cong :premises (@p990 @p3898)) % 1.31/1.54 (step @p6795 :rule ho_cong :premises (@p6794 @p782)) % 1.31/1.54 (step @p6796 :rule cong :premises (@p6795 @p6793) :args ((= (_ (_ tptp.in @t3792) @t1594) @t4363))) % 1.31/1.54 (step @p6797 :rule symm :premises (@p6796)) % 1.31/1.54 (step @p6798 :rule refl :args (@t488)) % 1.31/1.54 (step @p6799 :rule eq_resolve :premises (@p6798 @p6797)) % 1.31/1.54 (step @p6800 :rule ho_cong :premises (@p990 @p3918)) % 1.31/1.54 (step @p6801 :rule ho_cong :premises (@p6800 @p795)) % 1.31/1.54 (step @p6802 :rule trans :premises (@p6801 @p6799)) % 1.31/1.54 (step @p6803 :rule cong :premises (@p6802) :args (@t489)) % 1.31/1.54 (step @p6804 :rule trans :premises (@p6803 @p6790)) % 1.31/1.54 (step @p6805 :rule refl :args (tptp.sepInPowerset)) % 1.31/1.54 (step @p6806 :rule cong :premises (@p6805 @p6804) :args (@t490)) % 1.31/1.54 (step @p6807 :rule eq_resolve :premises (@p97 @p6806)) % 1.31/1.54 (step @p6808 :rule cong :premises (@p6807 @p6787) :args (@t4364)) % 1.31/1.54 (step @p6809 :rule refl :args ((tptp.subset @t33 @t393))) % 1.31/1.54 (step @p6810 :rule refl :args (@t2263)) % 1.31/1.54 (step @p6811 :rule cong :premises (@p782 @p6810) :args (@t2264)) % 1.31/1.54 (step @p6812 :rule trans :premises (@p6811 @p6809)) % 1.31/1.54 (step @p6813 :rule ho_cong :premises (@p1053 @p782)) % 1.31/1.54 (step @p6814 :rule ho_cong :premises (@p6813 @p6810)) % 1.31/1.54 (step @p6815 :rule cong :premises (@p6814 @p6812) :args ((= (_ (_ tptp.subset @t1594) @t2263) @t2264))) % 1.31/1.54 (step @p6816 :rule symm :premises (@p6815)) % 1.31/1.54 (step @p6817 :rule refl :args (@t485)) % 1.31/1.54 (step @p6818 :rule eq_resolve :premises (@p6817 @p6816)) % 1.31/1.54 (step @p6819 :rule refl :args (@t393)) % 1.31/1.54 (step @p6820 :rule cong :premises (@p6819 @p6810) :args ((= @t393 @t2263))) % 1.31/1.54 (step @p6821 :rule symm :premises (@p6820)) % 1.31/1.54 (step @p6822 :rule eq_resolve :premises (@p6819 @p6821)) % 1.31/1.54 (step @p6823 :rule ho_cong :premises (@p1053 @p795)) % 1.31/1.54 (step @p6824 :rule ho_cong :premises (@p6823 @p6822)) % 1.31/1.54 (step @p6825 :rule trans :premises (@p6824 @p6818)) % 1.31/1.54 (step @p6826 :rule nary_cong :premises (@p6345 @p6825) :args (@t4365)) % 1.31/1.54 (step @p6827 :rule cong :premises (@p6826) :args ((forall @t12 @t4365))) % 1.31/1.54 (step @p6828 :rule bool-impl-elim :args (@t422 @t485)) % 1.31/1.54 (step @p6829 :rule cong :premises (@p6828) :args (@t486)) % 1.31/1.54 (step @p6830 :rule trans :premises (@p6829 @p6827)) % 1.31/1.54 (step @p6831 :rule refl :args (tptp.powersetsubset)) % 1.31/1.54 (step @p6832 :rule cong :premises (@p6831 @p6830) :args (@t487)) % 1.31/1.54 (step @p6833 :rule eq_resolve :premises (@p96 @p6832)) % 1.31/1.54 (step @p6834 :rule cong :premises (@p6833 @p6808) :args (@t4366)) % 1.31/1.54 (step @p6835 :rule refl :args ((tptp.in @t2 @t33))) % 1.31/1.54 (step @p6836 :rule cong :premises (@p983 @p782) :args (@t2266)) % 1.31/1.54 (step @p6837 :rule trans :premises (@p6836 @p6835)) % 1.31/1.54 (step @p6838 :rule refl :args (@t468)) % 1.31/1.54 (step @p6839 :rule ho_cong :premises (@p6838 @p782)) % 1.31/1.54 (step @p6840 :rule cong :premises (@p6839 @p6837) :args ((= (_ @t468 @t1594) @t2266))) % 1.31/1.54 (step @p6841 :rule symm :premises (@p6840)) % 1.31/1.54 (step @p6842 :rule refl :args (@t482)) % 1.31/1.54 (step @p6843 :rule eq_resolve :premises (@p6842 @p6841)) % 1.31/1.54 (step @p6844 :rule ho_cong :premises (@p6838 @p795)) % 1.31/1.54 (step @p6845 :rule trans :premises (@p6844 @p6843)) % 1.31/1.54 (step @p6846 :rule cong :premises (@p6845) :args (@t483)) % 1.31/1.54 (step @p6847 :rule refl :args (tptp.inPowerset)) % 1.31/1.54 (step @p6848 :rule cong :premises (@p6847 @p6846) :args (@t484)) % 1.31/1.54 (step @p6849 :rule eq_resolve :premises (@p95 @p6848)) % 1.31/1.54 (step @p6850 :rule cong :premises (@p6849 @p6834) :args (@t4367)) % 1.31/1.54 (step @p6851 :rule refl :args ((tptp.in @t1 @t33))) % 1.31/1.54 (step @p6852 :rule cong :premises (@p2994 @p782) :args (@t2268)) % 1.31/1.54 (step @p6853 :rule trans :premises (@p6852 @p6851)) % 1.31/1.54 (step @p6854 :rule refl :args (@t34)) % 1.31/1.54 (step @p6855 :rule ho_cong :premises (@p6854 @p782)) % 1.31/1.54 (step @p6856 :rule cong :premises (@p6855 @p6853) :args ((= (_ @t34 @t1594) @t2268))) % 1.31/1.54 (step @p6857 :rule symm :premises (@p6856)) % 1.31/1.54 (step @p6858 :rule refl :args (@t35)) % 1.31/1.54 (step @p6859 :rule eq_resolve :premises (@p6858 @p6857)) % 1.31/1.54 (step @p6860 :rule ho_cong :premises (@p6854 @p795)) % 1.31/1.54 (step @p6861 :rule trans :premises (@p6860 @p6859)) % 1.31/1.54 (step @p6862 :rule cong :premises (@p6861) :args (@t4368)) % 1.31/1.54 (step @p6863 :rule nary_cong :premises (@p6862 @p6457) :args (@t4369)) % 1.31/1.54 (step @p6864 :rule cong :premises (@p6863) :args ((forall @t12 @t4369))) % 1.31/1.54 (step @p6865 :rule bool-impl-elim :args (@t35 @t427)) % 1.31/1.54 (step @p6866 :rule cong :premises (@p6865) :args (@t480)) % 1.31/1.54 (step @p6867 :rule trans :premises (@p6866 @p6864)) % 1.31/1.54 (step @p6868 :rule refl :args (tptp.powersetE1)) % 1.31/1.54 (step @p6869 :rule cong :premises (@p6868 @p6867) :args (@t481)) % 1.31/1.54 (step @p6870 :rule eq_resolve :premises (@p94 @p6869)) % 1.31/1.54 (step @p6871 :rule cong :premises (@p6870 @p6850) :args (@t4370)) % 1.31/1.54 (step @p6872 :rule nary_cong :premises (@p6458 @p6861) :args (@t4371)) % 1.31/1.54 (step @p6873 :rule cong :premises (@p6872) :args ((forall @t12 @t4371))) % 1.31/1.54 (step @p6874 :rule bool-impl-elim :args (@t427 @t35)) % 1.31/1.54 (step @p6875 :rule cong :premises (@p6874) :args (@t478)) % 1.31/1.54 (step @p6876 :rule trans :premises (@p6875 @p6873)) % 1.31/1.54 (step @p6877 :rule refl :args (tptp.powersetI1)) % 1.31/1.54 (step @p6878 :rule cong :premises (@p6877 @p6876) :args (@t479)) % 1.31/1.54 (step @p6879 :rule eq_resolve :premises (@p93 @p6878)) % 1.31/1.54 (step @p6880 :rule cong :premises (@p6879 @p6871) :args (@t4372)) % 1.31/1.54 (step @p6881 :rule refl :args (@t196)) % 1.31/1.54 (step @p6882 :rule refl :args (@t2272)) % 1.31/1.54 (step @p6883 :rule refl :args (@t475)) % 1.31/1.54 (step @p6884 :rule cong :premises (@p6883 @p6882) :args ((= @t475 @t2272))) % 1.31/1.54 (step @p6885 :rule symm :premises (@p6884)) % 1.31/1.54 (step @p6886 :rule eq_resolve :premises (@p6883 @p6885)) % 1.31/1.54 (step @p6887 :rule cong :premises (@p6886) :args (@t4373)) % 1.31/1.54 (step @p6888 :rule nary_cong :premises (@p6887 @p6881) :args (@t4374)) % 1.31/1.54 (step @p6889 :rule cong :premises (@p6888) :args ((forall @t64 @t4374))) % 1.31/1.54 (step @p6890 :rule bool-impl-elim :args (@t475 @t196)) % 1.31/1.54 (step @p6891 :rule cong :premises (@p6890) :args (@t476)) % 1.31/1.54 (step @p6892 :rule trans :premises (@p6891 @p6889)) % 1.31/1.54 (step @p6893 :rule refl :args (tptp.subsetemptysetimpeq)) % 1.31/1.54 (step @p6894 :rule cong :premises (@p6893 @p6892) :args (@t477)) % 1.31/1.54 (step @p6895 :rule eq_resolve :premises (@p92 @p6894)) % 1.31/1.54 (step @p6896 :rule cong :premises (@p6895 @p6880) :args (@t4375)) % 1.31/1.54 (step @p6897 :rule refl :args (@t3)) % 1.31/1.54 (step @p6898 :rule nary_cong :premises (@p6345 @p6458 @p6897) :args (@t4376)) % 1.31/1.54 (step @p6899 :rule cong :premises (@p6898) :args ((forall @t12 @t4376))) % 1.31/1.54 (step @p6900 :rule aci_norm :args ((= (or @t441 (or @t4309 @t3)) @t4376))) % 1.31/1.54 (step @p6901 :rule bool-impl-elim :args (@t427 @t3)) % 1.31/1.54 (step @p6902 :rule refl :args (@t441)) % 1.31/1.54 (step @p6903 :rule nary_cong :premises (@p6902 @p6901) :args ((or @t441 @t472))) % 1.31/1.54 (step @p6904 :rule trans :premises (@p6903 @p6900)) % 1.31/1.54 (step @p6905 :rule bool-impl-elim :args (@t422 @t472)) % 1.31/1.54 (step @p6906 :rule trans :premises (@p6905 @p6904)) % 1.31/1.54 (step @p6907 :rule cong :premises (@p6906) :args (@t473)) % 1.31/1.54 (step @p6908 :rule trans :premises (@p6907 @p6899)) % 1.31/1.54 (step @p6909 :rule refl :args (tptp.setextsub)) % 1.31/1.54 (step @p6910 :rule cong :premises (@p6909 @p6908) :args (@t474)) % 1.31/1.54 (step @p6911 :rule eq_resolve :premises (@p91 @p6910)) % 1.31/1.54 (step @p6912 :rule cong :premises (@p6911 @p6896) :args (@t4377)) % 1.31/1.54 (step @p6913 :rule refl :args ((tptp.in @t2 @t393))) % 1.31/1.54 (step @p6914 :rule cong :premises (@p983 @p6810) :args (@t2275)) % 1.31/1.54 (step @p6915 :rule trans :premises (@p6914 @p6913)) % 1.31/1.54 (step @p6916 :rule ho_cong :premises (@p6838 @p6810)) % 1.31/1.54 (step @p6917 :rule cong :premises (@p6916 @p6915) :args ((= (_ @t468 @t2263) @t2275))) % 1.31/1.54 (step @p6918 :rule symm :premises (@p6917)) % 1.31/1.54 (step @p6919 :rule refl :args (@t469)) % 1.31/1.54 (step @p6920 :rule eq_resolve :premises (@p6919 @p6918)) % 1.31/1.54 (step @p6921 :rule ho_cong :premises (@p6838 @p6822)) % 1.31/1.54 (step @p6922 :rule trans :premises (@p6921 @p6920)) % 1.31/1.54 (step @p6923 :rule nary_cong :premises (@p6345 @p6922) :args (@t4378)) % 1.31/1.54 (step @p6924 :rule cong :premises (@p6923) :args ((forall @t12 @t4378))) % 1.31/1.54 (step @p6925 :rule bool-impl-elim :args (@t422 @t469)) % 1.31/1.54 (step @p6926 :rule cong :premises (@p6925) :args (@t470)) % 1.31/1.54 (step @p6927 :rule trans :premises (@p6926 @p6924)) % 1.31/1.54 (step @p6928 :rule refl :args (tptp.subset2powerset)) % 1.31/1.54 (step @p6929 :rule cong :premises (@p6928 @p6927) :args (@t471)) % 1.31/1.54 (step @p6930 :rule eq_resolve :premises (@p90 @p6929)) % 1.31/1.54 (step @p6931 :rule cong :premises (@p6930 @p6912) :args (@t4379)) % 1.31/1.54 (step @p6932 :rule refl :args ((tptp.subset @t2 @t464))) % 1.31/1.54 (step @p6933 :rule refl :args (@t2277)) % 1.31/1.54 (step @p6934 :rule cong :premises (@p983 @p6933) :args (@t2278)) % 1.31/1.54 (step @p6935 :rule trans :premises (@p6934 @p6932)) % 1.31/1.54 (step @p6936 :rule ho_cong :premises (@p5489 @p6933)) % 1.31/1.54 (step @p6937 :rule cong :premises (@p6936 @p6935) :args ((= (_ @t421 @t2277) @t2278))) % 1.31/1.54 (step @p6938 :rule symm :premises (@p6937)) % 1.31/1.54 (step @p6939 :rule refl :args (@t465)) % 1.31/1.54 (step @p6940 :rule eq_resolve :premises (@p6939 @p6938)) % 1.31/1.54 (step @p6941 :rule refl :args (@t464)) % 1.31/1.54 (step @p6942 :rule cong :premises (@p6941 @p6933) :args ((= @t464 @t2277))) % 1.31/1.54 (step @p6943 :rule symm :premises (@p6942)) % 1.31/1.54 (step @p6944 :rule eq_resolve :premises (@p6941 @p6943)) % 1.31/1.54 (step @p6945 :rule ho_cong :premises (@p5489 @p6944)) % 1.31/1.54 (step @p6946 :rule trans :premises (@p6945 @p6940)) % 1.31/1.54 (step @p6947 :rule nary_cong :premises (@p6345 @p6946) :args (@t4380)) % 1.31/1.54 (step @p6948 :rule cong :premises (@p6947) :args ((forall @t249 @t4380))) % 1.31/1.54 (step @p6949 :rule bool-impl-elim :args (@t422 @t465)) % 1.31/1.54 (step @p6950 :rule cong :premises (@p6949) :args (@t466)) % 1.31/1.54 (step @p6951 :rule trans :premises (@p6950 @p6948)) % 1.31/1.54 (step @p6952 :rule refl :args (tptp.setadjoinSub2)) % 1.31/1.54 (step @p6953 :rule cong :premises (@p6952 @p6951) :args (@t467)) % 1.31/1.54 (step @p6954 :rule eq_resolve :premises (@p89 @p6953)) % 1.31/1.54 (step @p6955 :rule cong :premises (@p6954 @p6931) :args (@t4381)) % 1.31/1.54 (step @p6956 :rule refl :args ((tptp.subset @t2 @t25))) % 1.31/1.54 (step @p6957 :rule refl :args (@t2280)) % 1.31/1.54 (step @p6958 :rule cong :premises (@p983 @p6957) :args (@t2281)) % 1.31/1.54 (step @p6959 :rule trans :premises (@p6958 @p6956)) % 1.31/1.54 (step @p6960 :rule ho_cong :premises (@p5489 @p6957)) % 1.31/1.54 (step @p6961 :rule cong :premises (@p6960 @p6959) :args ((= (_ @t421 @t2280) @t2281))) % 1.31/1.54 (step @p6962 :rule symm :premises (@p6961)) % 1.31/1.54 (step @p6963 :rule refl :args (@t460)) % 1.31/1.54 (step @p6964 :rule eq_resolve :premises (@p6963 @p6962)) % 1.31/1.54 (step @p6965 :rule refl :args (@t25)) % 1.31/1.54 (step @p6966 :rule cong :premises (@p6965 @p6957) :args ((= @t25 @t2280))) % 1.31/1.54 (step @p6967 :rule symm :premises (@p6966)) % 1.31/1.54 (step @p6968 :rule eq_resolve :premises (@p6965 @p6967)) % 1.31/1.54 (step @p6969 :rule ho_cong :premises (@p5489 @p6968)) % 1.31/1.54 (step @p6970 :rule trans :premises (@p6969 @p6964)) % 1.31/1.54 (step @p6971 :rule cong :premises (@p6970) :args (@t462)) % 1.31/1.54 (step @p6972 :rule refl :args (tptp.setadjoinSub)) % 1.31/1.54 (step @p6973 :rule cong :premises (@p6972 @p6971) :args (@t463)) % 1.31/1.54 (step @p6974 :rule eq_resolve :premises (@p88 @p6973)) % 1.31/1.54 (step @p6975 :rule cong :premises (@p6974 @p6955) :args (@t4382)) % 1.31/1.54 (step @p6976 :rule refl :args (@t2283)) % 1.31/1.54 (step @p6977 :rule refl :args (@t454)) % 1.31/1.54 (step @p6978 :rule cong :premises (@p6977 @p6976) :args ((= @t454 @t2283))) % 1.31/1.54 (step @p6979 :rule symm :premises (@p6978)) % 1.31/1.54 (step @p6980 :rule eq_resolve :premises (@p6977 @p6979)) % 1.31/1.54 (step @p6981 :rule refl :args (@t2284)) % 1.31/1.54 (step @p6982 :rule refl :args (@t455)) % 1.31/1.54 (step @p6983 :rule cong :premises (@p6982 @p6981) :args ((= @t455 @t2284))) % 1.31/1.54 (step @p6984 :rule symm :premises (@p6983)) % 1.31/1.54 (step @p6985 :rule eq_resolve :premises (@p6982 @p6984)) % 1.31/1.54 (step @p6986 :rule cong :premises (@p6985) :args (@t4383)) % 1.31/1.54 (step @p6987 :rule nary_cong :premises (@p6345 @p6986 @p6980) :args (@t4384)) % 1.31/1.54 (step @p6988 :rule cong :premises (@p6987) :args ((forall @t457 @t4384))) % 1.31/1.54 (step @p6989 :rule aci_norm :args ((= (or @t441 (or @t4383 @t454)) @t4384))) % 1.31/1.54 (step @p6990 :rule bool-impl-elim :args (@t455 @t454)) % 1.31/1.54 (step @p6991 :rule nary_cong :premises (@p6902 @p6990) :args ((or @t441 @t456))) % 1.31/1.54 (step @p6992 :rule trans :premises (@p6991 @p6989)) % 1.31/1.54 (step @p6993 :rule bool-impl-elim :args (@t422 @t456)) % 1.31/1.54 (step @p6994 :rule trans :premises (@p6993 @p6992)) % 1.31/1.54 (step @p6995 :rule cong :premises (@p6994) :args (@t458)) % 1.31/1.54 (step @p6996 :rule trans :premises (@p6995 @p6988)) % 1.31/1.54 (step @p6997 :rule refl :args (tptp.subsetTrans)) % 1.31/1.54 (step @p6998 :rule cong :premises (@p6997 @p6996) :args (@t459)) % 1.31/1.54 (step @p6999 :rule eq_resolve :premises (@p87 @p6998)) % 1.31/1.54 (step @p7000 :rule cong :premises (@p6999 @p6975) :args (@t4385)) % 1.31/1.54 (step @p7001 :rule refl :args (@t2286)) % 1.31/1.54 (step @p7002 :rule refl :args (@t451)) % 1.31/1.54 (step @p7003 :rule cong :premises (@p7002 @p7001) :args ((= @t451 @t2286))) % 1.31/1.54 (step @p7004 :rule symm :premises (@p7003)) % 1.31/1.54 (step @p7005 :rule eq_resolve :premises (@p7002 @p7004)) % 1.31/1.54 (step @p7006 :rule cong :premises (@p7005) :args (@t452)) % 1.31/1.54 (step @p7007 :rule refl :args (tptp.subsetRefl)) % 1.31/1.54 (step @p7008 :rule cong :premises (@p7007 @p7006) :args (@t453)) % 1.31/1.54 (step @p7009 :rule eq_resolve :premises (@p86 @p7008)) % 1.31/1.54 (step @p7010 :rule cong :premises (@p7009 @p7000) :args (@t4386)) % 1.31/1.54 (step @p7011 :rule bool-eq-true :args (tptp.notequalI2)) % 1.31/1.54 (step @p7012 :rule symm :premises (@p7011)) % 1.31/1.54 (step @p7013 :rule quant-unused-vars :args ((= (forall @t4387 true) true))) % 1.31/1.54 (step @p7014 :rule bool-or-taut2 :args (false @t2196 false false)) % 1.31/1.54 (step @p7015 :rule cong :premises (@p7014) :args ((forall @t4387 @t4388))) % 1.31/1.54 (step @p7016 :rule trans :premises (@p7015 @p7013)) % 1.31/1.54 (step @p7017 :rule aci_norm :args ((= (or @t2198 @t2196 false) @t4388))) % 1.31/1.54 (step @p7018 :rule eq-refl :args (@t1)) % 1.31/1.54 (step @p7019 :rule cong :premises (@p7018) :args (@t4389)) % 1.31/1.54 (step @p7020 :rule trans :premises (@p7019 @p2363)) % 1.31/1.54 (step @p7021 :rule nary_cong :premises (@p6183 @p6179 @p7020) :args (@t4390)) % 1.31/1.54 (step @p7022 :rule trans :premises (@p7021 @p7017)) % 1.31/1.54 (step @p7023 :rule cong :premises (@p7022) :args ((forall @t4387 @t4390))) % 1.31/1.54 (step @p7024 :rule trans :premises (@p7023 @p7016)) % 1.31/1.54 (step @p7025 :rule quant-var-elim-eq :args ((= (forall @t64 @t4391) @t4390))) % 1.31/1.54 (step @p7026 :rule aci_norm :args ((= @t4392 @t4391))) % 1.31/1.54 (step @p7027 :rule cong :premises (@p7026) :args (@t4393)) % 1.31/1.54 (step @p7028 :rule trans :premises (@p7027 @p7025)) % 1.31/1.54 (step @p7029 :rule cong :premises (@p7028) :args (@t4394)) % 1.31/1.54 (step @p7030 :rule quant-merge-prenex :args ((= @t4394 @t4395))) % 1.31/1.54 (step @p7031 :rule symm :premises (@p7030)) % 1.31/1.54 (step @p7032 :rule quant_var_reordering :args ((= (forall @t245 @t4392) @t4395))) % 1.31/1.54 (step @p7033 :rule trans :premises (@p7032 @p7031 @p7029)) % 1.31/1.54 (step @p7034 :rule trans :premises (@p7033 @p7024)) % 1.31/1.54 (step @p7035 :rule refl :args (@t445)) % 1.31/1.54 (step @p7036 :rule nary_cong :premises (@p936 @p6098 @p7035) :args (@t4396)) % 1.31/1.54 (step @p7037 :rule cong :premises (@p7036) :args ((forall @t245 @t4396))) % 1.31/1.54 (step @p7038 :rule trans :premises (@p7037 @p7034)) % 1.31/1.54 (step @p7039 :rule aci_norm :args ((= (or @t197 (or @t6 @t445)) @t4396))) % 1.31/1.54 (step @p7040 :rule nary_cong :premises (@p6103 @p7035) :args ((or @t4254 @t445))) % 1.31/1.54 (step @p7041 :rule bool-impl-elim :args (@t437 @t445)) % 1.31/1.54 (step @p7042 :rule trans :premises (@p7041 @p7040)) % 1.31/1.54 (step @p7043 :rule nary_cong :premises (@p941 @p7042) :args ((or @t197 @t448))) % 1.31/1.54 (step @p7044 :rule trans :premises (@p7043 @p7039)) % 1.31/1.54 (step @p7045 :rule bool-impl-elim :args (@t7 @t448)) % 1.31/1.54 (step @p7046 :rule trans :premises (@p7045 @p7044)) % 1.31/1.54 (step @p7047 :rule cong :premises (@p7046) :args (@t449)) % 1.31/1.54 (step @p7048 :rule trans :premises (@p7047 @p7038)) % 1.31/1.54 (step @p7049 :rule refl :args (tptp.notequalI2)) % 1.31/1.54 (step @p7050 :rule cong :premises (@p7049 @p7048) :args (@t450)) % 1.31/1.54 (step @p7051 :rule trans :premises (@p7050 @p7011)) % 1.31/1.54 (step @p7052 :rule eq_resolve :premises (@p85 @p7051)) % 1.31/1.54 (step @p7053 :rule eq_resolve :premises (@p7052 @p7012)) % 1.31/1.54 (step @p7054 :rule cong :premises (@p7053 @p7010) :args (@t4397)) % 1.31/1.54 (step @p7055 :rule aci_norm :args ((= (or @t2288 false) @t2288))) % 1.31/1.54 (step @p7056 :rule refl :args (@t2288)) % 1.31/1.54 (step @p7057 :rule nary_cong :premises (@p7056 @p7020) :args (@t4398)) % 1.31/1.54 (step @p7058 :rule trans :premises (@p7057 @p7055)) % 1.31/1.54 (step @p7059 :rule cong :premises (@p7058) :args ((forall @t41 @t4398))) % 1.31/1.54 (step @p7060 :rule quant-var-elim-eq :args ((= (forall @t64 @t4399) @t4398))) % 1.31/1.54 (step @p7061 :rule aci_norm :args ((= @t4400 @t4399))) % 1.31/1.54 (step @p7062 :rule cong :premises (@p7061) :args (@t4401)) % 1.31/1.54 (step @p7063 :rule trans :premises (@p7062 @p7060)) % 1.31/1.54 (step @p7064 :rule cong :premises (@p7063) :args (@t4402)) % 1.31/1.54 (step @p7065 :rule quant-merge-prenex :args ((= @t4402 @t4404))) % 1.31/1.54 (step @p7066 :rule symm :premises (@p7065)) % 1.31/1.54 (step @p7067 :rule quant_var_reordering :args ((= (forall @t12 @t4400) @t4404))) % 1.31/1.54 (step @p7068 :rule trans :premises (@p7067 @p7066 @p7064)) % 1.31/1.54 (step @p7069 :rule trans :premises (@p7068 @p7059)) % 1.31/1.54 (step @p7070 :rule nary_cong :premises (@p6237 @p7035) :args (@t4405)) % 1.31/1.54 (step @p7071 :rule cong :premises (@p7070) :args ((forall @t12 @t4405))) % 1.31/1.54 (step @p7072 :rule trans :premises (@p7071 @p7069)) % 1.31/1.54 (step @p7073 :rule bool-double-not-elim :args (@t422)) % 1.31/1.54 (step @p7074 :rule nary_cong :premises (@p7073 @p7035) :args ((or (not @t441) @t445))) % 1.31/1.54 (step @p7075 :rule bool-impl-elim :args (@t441 @t445)) % 1.31/1.54 (step @p7076 :rule trans :premises (@p7075 @p7074)) % 1.31/1.54 (step @p7077 :rule cong :premises (@p7076) :args (@t446)) % 1.31/1.54 (step @p7078 :rule trans :premises (@p7077 @p7072)) % 1.31/1.54 (step @p7079 :rule refl :args (tptp.notequalI1)) % 1.31/1.54 (step @p7080 :rule cong :premises (@p7079 @p7078) :args (@t447)) % 1.31/1.54 (step @p7081 :rule eq_resolve :premises (@p84 @p7080)) % 1.31/1.54 (step @p7082 :rule cong :premises (@p7081 @p7054) :args (@t4406)) % 1.31/1.54 (step @p7083 :rule nary_cong :premises (@p936 @p6098 @p6345) :args (@t4407)) % 1.31/1.54 (step @p7084 :rule cong :premises (@p7083) :args ((forall @t245 @t4407))) % 1.31/1.54 (step @p7085 :rule aci_norm :args ((= (or @t197 (or @t6 @t441)) @t4407))) % 1.31/1.54 (step @p7086 :rule nary_cong :premises (@p6103 @p6902) :args ((or @t4254 @t441))) % 1.31/1.54 (step @p7087 :rule bool-impl-elim :args (@t437 @t441)) % 1.31/1.54 (step @p7088 :rule trans :premises (@p7087 @p7086)) % 1.31/1.54 (step @p7089 :rule nary_cong :premises (@p941 @p7088) :args ((or @t197 @t442))) % 1.31/1.54 (step @p7090 :rule trans :premises (@p7089 @p7085)) % 1.31/1.54 (step @p7091 :rule bool-impl-elim :args (@t7 @t442)) % 1.31/1.54 (step @p7092 :rule trans :premises (@p7091 @p7090)) % 1.31/1.54 (step @p7093 :rule cong :premises (@p7092) :args (@t443)) % 1.31/1.54 (step @p7094 :rule trans :premises (@p7093 @p7084)) % 1.31/1.54 (step @p7095 :rule refl :args (tptp.notsubsetI)) % 1.31/1.54 (step @p7096 :rule cong :premises (@p7095 @p7094) :args (@t444)) % 1.31/1.54 (step @p7097 :rule eq_resolve :premises (@p83 @p7096)) % 1.31/1.54 (step @p7098 :rule cong :premises (@p7097 @p7082) :args (@t4408)) % 1.31/1.54 (step @p7099 :rule nary_cong :premises (@p6345 @p6098 @p936) :args (@t4409)) % 1.31/1.54 (step @p7100 :rule cong :premises (@p7099) :args ((forall @t245 @t4409))) % 1.31/1.54 (step @p7101 :rule aci_norm :args ((= (or @t441 @t4289) @t4409))) % 1.31/1.54 (step @p7102 :rule nary_cong :premises (@p6902 @p6313) :args ((or @t441 @t438))) % 1.31/1.54 (step @p7103 :rule trans :premises (@p7102 @p7101)) % 1.31/1.54 (step @p7104 :rule bool-impl-elim :args (@t422 @t438)) % 1.31/1.54 (step @p7105 :rule trans :premises (@p7104 @p7103)) % 1.31/1.54 (step @p7106 :rule cong :premises (@p7105) :args (@t439)) % 1.31/1.54 (step @p7107 :rule trans :premises (@p7106 @p7100)) % 1.31/1.54 (step @p7108 :rule refl :args (tptp.subsetE2)) % 1.31/1.54 (step @p7109 :rule cong :premises (@p7108 @p7107) :args (@t440)) % 1.31/1.54 (step @p7110 :rule eq_resolve :premises (@p82 @p7109)) % 1.31/1.54 (step @p7111 :rule cong :premises (@p7110 @p7098) :args (@t4410)) % 1.31/1.54 (step @p7112 :rule nary_cong :premises (@p6345 @p936 @p6098) :args (@t4411)) % 1.31/1.54 (step @p7113 :rule cong :premises (@p7112) :args ((forall @t245 @t4411))) % 1.31/1.54 (step @p7114 :rule aci_norm :args ((= (or @t441 @t4293) @t4411))) % 1.31/1.54 (step @p7115 :rule nary_cong :premises (@p6902 @p6331) :args ((or @t441 @t191))) % 1.31/1.54 (step @p7116 :rule trans :premises (@p7115 @p7114)) % 1.31/1.54 (step @p7117 :rule bool-impl-elim :args (@t422 @t191)) % 1.31/1.54 (step @p7118 :rule trans :premises (@p7117 @p7116)) % 1.31/1.54 (step @p7119 :rule cong :premises (@p7118) :args (@t435)) % 1.31/1.54 (step @p7120 :rule trans :premises (@p7119 @p7113)) % 1.31/1.54 (step @p7121 :rule refl :args (tptp.subsetE)) % 1.31/1.54 (step @p7122 :rule cong :premises (@p7121 @p7120) :args (@t436)) % 1.31/1.54 (step @p7123 :rule eq_resolve :premises (@p81 @p7122)) % 1.31/1.54 (step @p7124 :rule cong :premises (@p7123 @p7111) :args (@t4412)) % 1.31/1.54 (step @p7125 :rule refl :args (@t2293)) % 1.31/1.54 (step @p7126 :rule refl :args (@t432)) % 1.31/1.54 (step @p7127 :rule cong :premises (@p7126 @p7125) :args ((= @t432 @t2293))) % 1.31/1.54 (step @p7128 :rule symm :premises (@p7127)) % 1.31/1.54 (step @p7129 :rule eq_resolve :premises (@p7126 @p7128)) % 1.31/1.54 (step @p7130 :rule cong :premises (@p7129) :args (@t433)) % 1.31/1.54 (step @p7131 :rule refl :args (tptp.emptysetsubset)) % 1.31/1.54 (step @p7132 :rule cong :premises (@p7131 @p7130) :args (@t434)) % 1.31/1.54 (step @p7133 :rule eq_resolve :premises (@p80 @p7132)) % 1.31/1.54 (step @p7134 :rule cong :premises (@p7133 @p7124) :args (@t4413)) % 1.31/1.54 (step @p7135 :rule eq-symm :args (@t2297 tptp.subsetI2)) % 1.31/1.54 (step @p7136 :rule refl :args (tptp.subsetI2)) % 1.31/1.54 (step @p7137 :rule refl :args (@t2296)) % 1.31/1.54 (step @p7138 :rule nary_cong :premises (@p7137 @p6237) :args (@t4414)) % 1.31/1.54 (step @p7139 :rule cong :premises (@p7138) :args ((forall @t12 @t4414))) % 1.31/1.54 (step @p7140 :rule bool-impl-elim :args (@t2295 @t422)) % 1.31/1.54 (step @p7141 :rule cong :premises (@p7140) :args ((forall @t12 (=> @t2295 @t422)))) % 1.31/1.54 (step @p7142 :rule trans :premises (@p7141 @p7139)) % 1.31/1.54 (step @p7143 :rule nary_cong :premises (@p936 @p6098) :args (@t4293)) % 1.31/1.54 (step @p7144 :rule cong :premises (@p7143) :args ((forall @t9 @t4293))) % 1.31/1.54 (step @p7145 :rule cong :premises (@p6331) :args (@t192)) % 1.31/1.54 (step @p7146 :rule trans :premises (@p7145 @p7144)) % 1.31/1.54 (step @p7147 :rule cong :premises (@p7146 @p6250) :args (@t423)) % 1.31/1.54 (step @p7148 :rule cong :premises (@p7147) :args (@t424)) % 1.31/1.54 (step @p7149 :rule trans :premises (@p7148 @p7142)) % 1.31/1.54 (step @p7150 :rule cong :premises (@p7149 @p7136) :args ((= @t424 tptp.subsetI2))) % 1.31/1.54 (step @p7151 :rule trans :premises (@p7150 @p7135)) % 1.31/1.54 (step @p7152 :rule eq-symm :args (tptp.subsetI2 @t424)) % 1.31/1.54 (step @p7153 :rule trans :premises (@p7152 @p7151)) % 1.31/1.54 (step @p7154 :rule eq_resolve :premises (@p79 @p7153)) % 1.31/1.54 (step @p7155 :rule cong :premises (@p7154 @p7134) :args (@t4415)) % 1.31/1.54 (step @p7156 :rule aci_norm :args ((= (or false @t2288) @t2288))) % 1.31/1.54 (step @p7157 :rule nary_cong :premises (@p7020 @p7056) :args (@t4416)) % 1.31/1.54 (step @p7158 :rule trans :premises (@p7157 @p7156)) % 1.31/1.54 (step @p7159 :rule cong :premises (@p7158) :args ((forall @t41 @t4416))) % 1.31/1.54 (step @p7160 :rule quant-var-elim-eq :args ((= (forall @t64 @t4417) @t4416))) % 1.31/1.54 (step @p7161 :rule aci_norm :args ((= @t4418 @t4417))) % 1.31/1.54 (step @p7162 :rule cong :premises (@p7161) :args (@t4419)) % 1.31/1.54 (step @p7163 :rule trans :premises (@p7162 @p7160)) % 1.31/1.54 (step @p7164 :rule cong :premises (@p7163) :args (@t4420)) % 1.31/1.54 (step @p7165 :rule quant-merge-prenex :args ((= @t4420 @t4421))) % 1.31/1.54 (step @p7166 :rule symm :premises (@p7165)) % 1.31/1.54 (step @p7167 :rule quant_var_reordering :args ((= (forall @t12 @t4418) @t4421))) % 1.31/1.54 (step @p7168 :rule trans :premises (@p7167 @p7166 @p7164)) % 1.31/1.54 (step @p7169 :rule trans :premises (@p7168 @p7159)) % 1.31/1.54 (step @p7170 :rule nary_cong :premises (@p7035 @p6237) :args (@t4422)) % 1.31/1.54 (step @p7171 :rule cong :premises (@p7170) :args ((forall @t12 @t4422))) % 1.31/1.54 (step @p7172 :rule trans :premises (@p7171 @p7169)) % 1.31/1.54 (step @p7173 :rule bool-impl-elim :args (@t3 @t422)) % 1.31/1.54 (step @p7174 :rule cong :premises (@p7173) :args (@t430)) % 1.31/1.54 (step @p7175 :rule trans :premises (@p7174 @p7172)) % 1.31/1.54 (step @p7176 :rule refl :args (tptp.eqimpsubset1)) % 1.31/1.54 (step @p7177 :rule cong :premises (@p7176 @p7175) :args (@t431)) % 1.31/1.54 (step @p7178 :rule eq_resolve :premises (@p78 @p7177)) % 1.31/1.54 (step @p7179 :rule cong :premises (@p7178 @p7155) :args (@t4423)) % 1.31/1.54 (step @p7180 :rule quant-var-elim-eq :args ((= (forall @t64 @t4424) @t4416))) % 1.31/1.54 (step @p7181 :rule aci_norm :args ((= @t4425 @t4424))) % 1.31/1.54 (step @p7182 :rule cong :premises (@p7181) :args (@t4426)) % 1.31/1.54 (step @p7183 :rule trans :premises (@p7182 @p7180)) % 1.31/1.54 (step @p7184 :rule cong :premises (@p7183) :args (@t4427)) % 1.31/1.54 (step @p7185 :rule quant-merge-prenex :args ((= @t4427 @t4428))) % 1.31/1.54 (step @p7186 :rule symm :premises (@p7185)) % 1.31/1.54 (step @p7187 :rule quant_var_reordering :args ((= (forall @t12 @t4425) @t4428))) % 1.31/1.54 (step @p7188 :rule trans :premises (@p7187 @p7186 @p7184)) % 1.31/1.54 (step @p7189 :rule trans :premises (@p7188 @p7159)) % 1.31/1.54 (step @p7190 :rule nary_cong :premises (@p7035 @p6457) :args (@t4429)) % 1.31/1.54 (step @p7191 :rule cong :premises (@p7190) :args ((forall @t12 @t4429))) % 1.31/1.54 (step @p7192 :rule trans :premises (@p7191 @p7189)) % 1.31/1.54 (step @p7193 :rule bool-impl-elim :args (@t3 @t427)) % 1.31/1.54 (step @p7194 :rule cong :premises (@p7193) :args (@t428)) % 1.31/1.54 (step @p7195 :rule trans :premises (@p7194 @p7192)) % 1.31/1.54 (step @p7196 :rule refl :args (tptp.eqimpsubset2)) % 1.31/1.54 (step @p7197 :rule cong :premises (@p7196 @p7195) :args (@t429)) % 1.31/1.54 (step @p7198 :rule eq_resolve :premises (@p77 @p7197)) % 1.31/1.54 (step @p7199 :rule cong :premises (@p7198 @p7179) :args (@t4430)) % 1.31/1.54 (step @p7200 :rule refl :args (tptp.subsetI1)) % 1.31/1.54 (step @p7201 :rule cong :premises (@p7200 @p7149) :args (@t425)) % 1.31/1.54 (step @p7202 :rule eq_resolve :premises (@p76 @p7201)) % 1.31/1.54 (step @p7203 :rule cong :premises (@p7202 @p7199) :args (@t4431)) % 1.31/1.54 (step @p7204 :rule aci_norm :args ((= (or false @t2305 @t2302) @t2306))) % 1.31/1.54 (step @p7205 :rule eq-symm :args (@t2299 @t2301)) % 1.31/1.54 (step @p7206 :rule aci_norm :args ((= @t4432 @t2304))) % 1.31/1.54 (step @p7207 :rule cong :premises (@p7206) :args (@t4433)) % 1.31/1.54 (step @p7208 :rule cong :premises (@p7207) :args (@t4434)) % 1.31/1.54 (step @p7209 :rule nary_cong :premises (@p7020 @p7208 @p7205) :args (@t4435)) % 1.31/1.54 (step @p7210 :rule trans :premises (@p7209 @p7204)) % 1.31/1.54 (step @p7211 :rule cong :premises (@p7210) :args ((forall @t2307 @t4435))) % 1.31/1.54 (step @p7212 :rule quant-var-elim-eq :args ((= (forall @t64 @t4438) @t4435))) % 1.31/1.54 (step @p7213 :rule aci_norm :args ((= @t4439 @t4438))) % 1.31/1.54 (step @p7214 :rule cong :premises (@p7213) :args (@t4440)) % 1.31/1.54 (step @p7215 :rule trans :premises (@p7214 @p7212)) % 1.31/1.54 (step @p7216 :rule cong :premises (@p7215) :args (@t4441)) % 1.31/1.54 (step @p7217 :rule quant-merge-prenex :args ((= @t4441 @t4442))) % 1.31/1.54 (step @p7218 :rule symm :premises (@p7217)) % 1.31/1.54 (step @p7219 :rule quant_var_reordering :args ((= (forall @t4443 @t4439) @t4442))) % 1.31/1.54 (step @p7220 :rule trans :premises (@p7219 @p7218 @p7216)) % 1.31/1.54 (step @p7221 :rule trans :premises (@p7220 @p7211)) % 1.31/1.54 (step @p7222 :rule aci_norm :args ((= @t4445 @t4439))) % 1.31/1.54 (step @p7223 :rule cong :premises (@p7222) :args (@t4446)) % 1.31/1.54 (step @p7224 :rule trans :premises (@p7223 @p7221)) % 1.31/1.54 (step @p7225 :rule quant-merge-prenex :args ((= (forall @t12 @t4448) @t4446))) % 1.31/1.54 (step @p7226 :rule alpha_equiv :args (@t4449 (@list @t2298 @t2300) (@list @t143 @t368))) % 1.31/1.54 (step @p7227 :rule nary_cong :premises (@p7035 @p7226) :args (@t4450)) % 1.31/1.54 (step @p7228 :rule quant-miniscope-or :args ((= @t4448 @t4450))) % 1.31/1.54 (step @p7229 :rule trans :premises (@p7228 @p7227)) % 1.31/1.54 (step @p7230 :rule symm :premises (@p7229)) % 1.31/1.54 (step @p7231 :rule cong :premises (@p7230) :args ((forall @t12 (or @t445 @t4454)))) % 1.31/1.54 (step @p7232 :rule trans :premises (@p7231 @p7225)) % 1.31/1.54 (step @p7233 :rule trans :premises (@p7232 @p7224)) % 1.31/1.54 (step @p7234 :rule bool-impl-elim :args (@t3 @t4454)) % 1.31/1.54 (step @p7235 :rule cong :premises (@p7234) :args ((forall @t12 (=> @t3 @t4454)))) % 1.31/1.54 (step @p7236 :rule trans :premises (@p7235 @p7233)) % 1.31/1.54 (step @p7237 :rule lambda-elim :args ((= @t4455 @t368))) % 1.31/1.54 (step @p7238 :rule cong :premises (@p3061 @p7237) :args (@t4456)) % 1.31/1.54 (step @p7239 :rule cong :premises (@p3886 @p7238) :args (@t4457)) % 1.31/1.54 (step @p7240 :rule refl :args (@t4453)) % 1.31/1.54 (step @p7241 :rule nary_cong :premises (@p7240 @p7239) :args (@t4458)) % 1.31/1.54 (step @p7242 :rule cong :premises (@p7241) :args ((forall @t378 @t4458))) % 1.31/1.54 (step @p7243 :rule refl :args ((tptp.dsetconstr @t1 @t370))) % 1.31/1.54 (step @p7244 :rule refl :args (@t2332)) % 1.31/1.54 (step @p7245 :rule cong :premises (@p7244) :args (@t4455)) % 1.31/1.54 (step @p7246 :rule cong :premises (@p2994 @p7245) :args (@t4456)) % 1.31/1.54 (step @p7247 :rule trans :premises (@p7246 @p7243)) % 1.31/1.54 (step @p7248 :rule ho_cong :premises (@p4354 @p7245)) % 1.31/1.54 (step @p7249 :rule cong :premises (@p7248 @p7247) :args ((= (_ @t410 @t4455) @t4456))) % 1.31/1.54 (step @p7250 :rule symm :premises (@p7249)) % 1.31/1.54 (step @p7251 :rule refl :args (@t411)) % 1.31/1.54 (step @p7252 :rule eq_resolve :premises (@p7251 @p7250)) % 1.31/1.54 (step @p7253 :rule refl :args (@t369)) % 1.31/1.54 (step @p7254 :rule cong :premises (@p7253 @p7244) :args ((= @t369 @t2332))) % 1.31/1.54 (step @p7255 :rule symm :premises (@p7254)) % 1.31/1.54 (step @p7256 :rule eq_resolve :premises (@p7253 @p7255)) % 1.31/1.54 (step @p7257 :rule cong :premises (@p7256) :args (@t370)) % 1.31/1.54 (step @p7258 :rule ho_cong :premises (@p4354 @p7257)) % 1.31/1.54 (step @p7259 :rule trans :premises (@p7258 @p7252)) % 1.31/1.54 (step @p7260 :rule cong :premises (@p3918 @p7259) :args (@t412)) % 1.31/1.54 (step @p7261 :rule refl :args (@t4453)) % 1.31/1.54 (step @p7262 :rule nary_cong :premises (@p7261 @p7260) :args (@t4459)) % 1.31/1.54 (step @p7263 :rule cong :premises (@p7262) :args ((forall @t378 @t4459))) % 1.31/1.54 (step @p7264 :rule trans :premises (@p7263 @p7242)) % 1.31/1.54 (step @p7265 :rule bool-impl-elim :args (@t4452 @t412)) % 1.31/1.54 (step @p7266 :rule cong :premises (@p7265) :args ((forall @t378 (=> @t4452 @t412)))) % 1.31/1.54 (step @p7267 :rule trans :premises (@p7266 @p7264)) % 1.31/1.54 (step @p7268 :rule refl :args (@t412)) % 1.31/1.54 (step @p7269 :rule refl :args (@t4451)) % 1.31/1.54 (step @p7270 :rule refl :args (@t2198)) % 1.31/1.54 (step @p7271 :rule nary_cong :premises (@p936 @p7270 @p7269) :args (@t4460)) % 1.31/1.54 (step @p7272 :rule cong :premises (@p7271) :args ((forall @t9 @t4460))) % 1.31/1.54 (step @p7273 :rule aci_norm :args ((= (or @t197 @t4461) @t4460))) % 1.31/1.54 (step @p7274 :rule bool-impl-elim :args (@t7 @t4461)) % 1.31/1.54 (step @p7275 :rule trans :premises (@p7274 @p7273)) % 1.31/1.54 (step @p7276 :rule cong :premises (@p7275) :args ((forall @t9 (=> @t7 @t4461)))) % 1.31/1.54 (step @p7277 :rule trans :premises (@p7276 @p7272)) % 1.31/1.54 (step @p7278 :rule aci_norm :args ((= (or @t2198 false @t4451) @t4461))) % 1.31/1.54 (step @p7279 :rule refl :args (@t4451)) % 1.31/1.54 (step @p7280 :rule eq-refl :args (@t4)) % 1.31/1.54 (step @p7281 :rule cong :premises (@p7280) :args (@t4462)) % 1.31/1.54 (step @p7282 :rule trans :premises (@p7281 @p2363)) % 1.31/1.54 (step @p7283 :rule nary_cong :premises (@p6183 @p7282 @p7279) :args (@t4463)) % 1.31/1.54 (step @p7284 :rule trans :premises (@p7283 @p7278)) % 1.31/1.54 (step @p7285 :rule quant-var-elim-eq :args ((= (forall @t70 (or (not @t22) @t3623 @t282 @t4464)) @t4463))) % 1.31/1.54 (step @p7286 :rule refl :args (@t4464)) % 1.31/1.54 (step @p7287 :rule refl :args (@t3623)) % 1.31/1.54 (step @p7288 :rule eq-symm :args (@t4 @t19)) % 1.31/1.54 (step @p7289 :rule cong :premises (@p7288) :args (@t282)) % 1.31/1.54 (step @p7290 :rule nary_cong :premises (@p7289 @p7287 @p5089 @p7286) :args (@t4465)) % 1.31/1.54 (step @p7291 :rule aci_norm :args ((= @t4466 @t4465))) % 1.31/1.54 (step @p7292 :rule trans :premises (@p7291 @p7290)) % 1.31/1.54 (step @p7293 :rule cong :premises (@p7292) :args ((forall @t70 @t4466))) % 1.31/1.54 (step @p7294 :rule trans :premises (@p7293 @p7285)) % 1.31/1.54 (step @p7295 :rule trans :premises (@p7294 @p7284)) % 1.31/1.54 (step @p7296 :rule refl :args (@t2310)) % 1.31/1.54 (step @p7297 :rule refl :args (@t373)) % 1.31/1.54 (step @p7298 :rule cong :premises (@p7297 @p7296) :args ((= @t373 @t2310))) % 1.31/1.54 (step @p7299 :rule symm :premises (@p7298)) % 1.31/1.54 (step @p7300 :rule eq_resolve :premises (@p7297 @p7299)) % 1.31/1.54 (step @p7301 :rule cong :premises (@p3915 @p7300) :args (@t374)) % 1.31/1.54 (step @p7302 :rule nary_cong :premises (@p3448 @p5089 @p7301) :args (@t4467)) % 1.31/1.54 (step @p7303 :rule cong :premises (@p7302) :args ((forall @t70 @t4467))) % 1.31/1.54 (step @p7304 :rule trans :premises (@p7303 @p7295)) % 1.31/1.54 (step @p7305 :rule aci_norm :args ((= (or @t3628 @t4468) @t4467))) % 1.31/1.54 (step @p7306 :rule bool-impl-elim :args (@t129 @t374)) % 1.31/1.54 (step @p7307 :rule nary_cong :premises (@p3453 @p7306) :args ((or @t3628 @t375))) % 1.31/1.54 (step @p7308 :rule trans :premises (@p7307 @p7305)) % 1.31/1.54 (step @p7309 :rule bool-impl-elim :args (@t354 @t375)) % 1.31/1.54 (step @p7310 :rule trans :premises (@p7309 @p7308)) % 1.31/1.54 (step @p7311 :rule cong :premises (@p7310) :args (@t413)) % 1.31/1.54 (step @p7312 :rule trans :premises (@p7311 @p7304)) % 1.31/1.54 (step @p7313 :rule cong :premises (@p2271 @p7312) :args (@t414)) % 1.31/1.54 (step @p7314 :rule cong :premises (@p7313) :args (@t415)) % 1.31/1.54 (step @p7315 :rule trans :premises (@p7314 @p7277)) % 1.31/1.54 (step @p7316 :rule cong :premises (@p7315 @p7268) :args (@t416)) % 1.31/1.54 (step @p7317 :rule cong :premises (@p7316) :args (@t417)) % 1.31/1.54 (step @p7318 :rule trans :premises (@p7317 @p7267)) % 1.31/1.54 (step @p7319 :rule refl :args (@t3)) % 1.31/1.54 (step @p7320 :rule cong :premises (@p7319 @p7318) :args (@t418)) % 1.31/1.54 (step @p7321 :rule cong :premises (@p7320) :args (@t419)) % 1.31/1.54 (step @p7322 :rule trans :premises (@p7321 @p7236)) % 1.31/1.54 (step @p7323 :rule refl :args (tptp.dsetconstr__Cong)) % 1.31/1.54 (step @p7324 :rule cong :premises (@p7323 @p7322) :args (@t420)) % 1.31/1.54 (step @p7325 :rule eq_resolve :premises (@p75 @p7324)) % 1.31/1.54 (step @p7326 :rule cong :premises (@p7325 @p7203) :args (@t4469)) % 1.31/1.54 (step @p7327 :rule eq-symm :args (@t2309 @t19)) % 1.31/1.54 (step @p7328 :rule refl :args (@t2311)) % 1.31/1.54 (step @p7329 :rule nary_cong :premises (@p7328 @p7327) :args (@t4470)) % 1.31/1.54 (step @p7330 :rule cong :premises (@p7329) :args (@t4471)) % 1.31/1.54 (step @p7331 :rule cong :premises (@p7330) :args (@t4472)) % 1.31/1.54 (step @p7332 :rule refl :args (@t2312)) % 1.31/1.54 (step @p7333 :rule eq-symm :args (@t2313 @t19)) % 1.31/1.54 (step @p7334 :rule refl :args (@t2103)) % 1.31/1.54 (step @p7335 :rule nary_cong :premises (@p7334 @p7333) :args (@t4473)) % 1.31/1.54 (step @p7336 :rule cong :premises (@p7335) :args (@t4474)) % 1.31/1.54 (step @p7337 :rule cong :premises (@p7336) :args (@t4475)) % 1.31/1.54 (step @p7338 :rule refl :args (@t2314)) % 1.31/1.54 (step @p7339 :rule refl :args (@t2316)) % 1.31/1.54 (step @p7340 :rule refl :args (@t2319)) % 1.31/1.54 (step @p7341 :rule nary_cong :premises (@p7340 @p7339 @p7338 @p7337 @p7332 @p7331) :args (@t4476)) % 1.31/1.54 (step @p7342 :rule aci_norm :args ((= @t4479 @t4476))) % 1.31/1.54 (step @p7343 :rule trans :premises (@p7342 @p7341)) % 1.31/1.54 (step @p7344 :rule cong :premises (@p7343) :args (@t4480)) % 1.31/1.54 (step @p7345 :rule quant-merge-prenex :args ((= (forall @t378 @t4481) @t4480))) % 1.31/1.54 (step @p7346 :rule refl :args (@t2316)) % 1.31/1.54 (step @p7347 :rule alpha_equiv :args (@t4482 (@list @t2309) @t2833)) % 1.31/1.54 (step @p7348 :rule alpha_equiv :args (@t4483 (@list @t2313) @t2833)) % 1.31/1.54 (step @p7349 :rule refl :args (@t2319)) % 1.31/1.54 (step @p7350 :rule nary_cong :premises (@p7349 @p7348 @p7347 @p7346) :args (@t4484)) % 1.31/1.54 (step @p7351 :rule quant-miniscope-or :args ((= @t4481 @t4484))) % 1.31/1.54 (step @p7352 :rule trans :premises (@p7351 @p7350)) % 1.31/1.54 (step @p7353 :rule symm :premises (@p7352)) % 1.31/1.54 (step @p7354 :rule cong :premises (@p7353) :args ((forall @t378 (or @t2319 @t2337 @t2333 @t2316)))) % 1.31/1.54 (step @p7355 :rule trans :premises (@p7354 @p7345)) % 1.31/1.54 (step @p7356 :rule trans :premises (@p7355 @p7344)) % 1.31/1.54 (step @p7357 :rule cong :premises (@p7237) :args (@t4485)) % 1.31/1.54 (step @p7358 :rule cong :premises (@p3885) :args (@t4486)) % 1.31/1.54 (step @p7359 :rule cong :premises (@p7358 @p7357) :args (@t4487)) % 1.31/1.54 (step @p7360 :rule refl :args (@t2333)) % 1.31/1.54 (step @p7361 :rule refl :args (@t2337)) % 1.31/1.54 (step @p7362 :rule nary_cong :premises (@p7340 @p7361 @p7360 @p7359) :args (@t4488)) % 1.31/1.54 (step @p7363 :rule cong :premises (@p7362) :args ((forall @t378 @t4488))) % 1.31/1.54 (step @p7364 :rule trans :premises (@p7363 @p7356)) % 1.31/1.54 (step @p7365 :rule refl :args ((tptp.descr @t370))) % 1.31/1.54 (step @p7366 :rule cong :premises (@p7245) :args (@t4485)) % 1.31/1.54 (step @p7367 :rule trans :premises (@p7366 @p7365)) % 1.31/1.54 (step @p7368 :rule refl :args (tptp.descr)) % 1.31/1.54 (step @p7369 :rule ho_cong :premises (@p7368 @p7245)) % 1.31/1.54 (step @p7370 :rule cong :premises (@p7369 @p7367) :args ((= (_ tptp.descr @t4455) @t4485))) % 1.31/1.54 (step @p7371 :rule symm :premises (@p7370)) % 1.31/1.54 (step @p7372 :rule refl :args (@t403)) % 1.31/1.54 (step @p7373 :rule eq_resolve :premises (@p7372 @p7371)) % 1.31/1.54 (step @p7374 :rule ho_cong :premises (@p7368 @p7257)) % 1.31/1.54 (step @p7375 :rule trans :premises (@p7374 @p7373)) % 1.31/1.54 (step @p7376 :rule refl :args ((tptp.descr @t145))) % 1.31/1.54 (step @p7377 :rule cong :premises (@p3896) :args (@t4486)) % 1.31/1.54 (step @p7378 :rule trans :premises (@p7377 @p7376)) % 1.31/1.54 (step @p7379 :rule ho_cong :premises (@p7368 @p3896)) % 1.31/1.54 (step @p7380 :rule cong :premises (@p7379 @p7378) :args ((= (_ tptp.descr @t3791) @t4486))) % 1.31/1.54 (step @p7381 :rule symm :premises (@p7380)) % 1.31/1.54 (step @p7382 :rule refl :args (@t146)) % 1.31/1.54 (step @p7383 :rule eq_resolve :premises (@p7382 @p7381)) % 1.31/1.54 (step @p7384 :rule ho_cong :premises (@p7368 @p3916)) % 1.31/1.54 (step @p7385 :rule trans :premises (@p7384 @p7383)) % 1.31/1.54 (step @p7386 :rule cong :premises (@p7385 @p7375) :args (@t404)) % 1.31/1.54 (step @p7387 :rule refl :args (@t2333)) % 1.31/1.54 (step @p7388 :rule refl :args (@t2337)) % 1.31/1.54 (step @p7389 :rule nary_cong :premises (@p7349 @p7388 @p7387 @p7386) :args (@t4489)) % 1.31/1.54 (step @p7390 :rule cong :premises (@p7389) :args ((forall @t378 @t4489))) % 1.31/1.54 (step @p7391 :rule trans :premises (@p7390 @p7364)) % 1.31/1.54 (step @p7392 :rule aci_norm :args ((= (or @t2319 @t4490) @t4489))) % 1.31/1.54 (step @p7393 :rule aci_norm :args ((= (or @t2337 (or @t2333 @t404)) @t4490))) % 1.31/1.54 (step @p7394 :rule refl :args (@t404)) % 1.31/1.54 (step @p7395 :rule bool-double-not-elim :args (@t2333)) % 1.31/1.54 (step @p7396 :rule nary_cong :premises (@p7395 @p7394) :args ((or (not @t2334) @t404))) % 1.31/1.54 (step @p7397 :rule bool-impl-elim :args (@t2334 @t404)) % 1.31/1.54 (step @p7398 :rule trans :premises (@p7397 @p7396)) % 1.31/1.54 (step @p7399 :rule nary_cong :premises (@p7388 @p7398) :args ((or @t2337 @t4491))) % 1.31/1.54 (step @p7400 :rule trans :premises (@p7399 @p7393)) % 1.31/1.54 (step @p7401 :rule refl :args (@t4491)) % 1.31/1.54 (step @p7402 :rule bool-double-not-elim :args (@t2337)) % 1.31/1.54 (step @p7403 :rule nary_cong :premises (@p7402 @p7401) :args ((or @t4492 @t4491))) % 1.31/1.54 (step @p7404 :rule bool-impl-elim :args (@t2338 @t4491)) % 1.31/1.54 (step @p7405 :rule trans :premises (@p7404 @p7403)) % 1.31/1.54 (step @p7406 :rule trans :premises (@p7405 @p7400)) % 1.31/1.54 (step @p7407 :rule nary_cong :premises (@p7349 @p7406) :args ((or @t2319 @t4493))) % 1.31/1.54 (step @p7408 :rule trans :premises (@p7407 @p7392)) % 1.31/1.54 (step @p7409 :rule bool-impl-elim :args (@t2318 @t4493)) % 1.31/1.54 (step @p7410 :rule trans :premises (@p7409 @p7408)) % 1.31/1.54 (step @p7411 :rule cong :premises (@p7410) :args ((forall @t378 (=> @t2318 @t4493)))) % 1.31/1.54 (step @p7412 :rule trans :premises (@p7411 @p7391)) % 1.31/1.54 (step @p7413 :rule refl :args (@t404)) % 1.31/1.54 (step @p7414 :rule refl :args (@t2331)) % 1.31/1.54 (step @p7415 :rule cong :premises (@p7256) :args (@t4494)) % 1.31/1.54 (step @p7416 :rule nary_cong :premises (@p7415 @p7414) :args (@t4495)) % 1.31/1.54 (step @p7417 :rule cong :premises (@p7416) :args ((forall @t9 @t4495))) % 1.31/1.54 (step @p7418 :rule cong :premises (@p7300) :args (@t4496)) % 1.31/1.54 (step @p7419 :rule nary_cong :premises (@p7418 @p3950) :args (@t4497)) % 1.31/1.54 (step @p7420 :rule cong :premises (@p7419) :args ((forall @t70 @t4497))) % 1.31/1.54 (step @p7421 :rule beta-reduce :args ((= @t4498 @t373))) % 1.31/1.54 (step @p7422 :rule cong :premises (@p7421) :args (@t4499)) % 1.31/1.54 (step @p7423 :rule nary_cong :premises (@p7422 @p5123) :args (@t4500)) % 1.31/1.54 (step @p7424 :rule cong :premises (@p7423) :args (@t4501)) % 1.31/1.54 (step @p7425 :rule trans :premises (@p7424 @p7420)) % 1.31/1.54 (step @p7426 :rule cong :premises (@p7425) :args (@t4502)) % 1.31/1.54 (step @p7427 :rule beta-reduce :args ((= @t4503 @t369))) % 1.31/1.54 (step @p7428 :rule cong :premises (@p7427) :args (@t4504)) % 1.31/1.54 (step @p7429 :rule nary_cong :premises (@p7428 @p7426) :args (@t4505)) % 1.31/1.54 (step @p7430 :rule cong :premises (@p7429) :args (@t4506)) % 1.31/1.54 (step @p7431 :rule trans :premises (@p7430 @p7417)) % 1.31/1.54 (step @p7432 :rule cong :premises (@p7431) :args (@t4507)) % 1.31/1.54 (step @p7433 :rule beta-reduce :args ((= @t4509 @t4507))) % 1.31/1.54 (step @p7434 :rule trans :premises (@p7433 @p7432)) % 1.31/1.54 (step @p7435 :rule cong :premises (@p7434 @p7413) :args (@t4510)) % 1.31/1.54 (step @p7436 :rule refl :args (@t2336)) % 1.31/1.54 (step @p7437 :rule nary_cong :premises (@p3941 @p7436) :args (@t4511)) % 1.31/1.54 (step @p7438 :rule cong :premises (@p7437) :args ((forall @t9 @t4511))) % 1.31/1.54 (step @p7439 :rule nary_cong :premises (@p3956 @p3950) :args (@t3814)) % 1.31/1.54 (step @p7440 :rule cong :premises (@p7439) :args ((forall @t70 @t3814))) % 1.31/1.54 (step @p7441 :rule beta-reduce :args ((= @t4512 @t153))) % 1.31/1.54 (step @p7442 :rule cong :premises (@p7441) :args (@t4513)) % 1.31/1.54 (step @p7443 :rule nary_cong :premises (@p7442 @p5123) :args (@t4514)) % 1.31/1.54 (step @p7444 :rule cong :premises (@p7443) :args (@t4515)) % 1.31/1.54 (step @p7445 :rule trans :premises (@p7444 @p7440)) % 1.31/1.54 (step @p7446 :rule cong :premises (@p7445) :args (@t4516)) % 1.31/1.54 (step @p7447 :rule beta-reduce :args ((= @t4517 @t144))) % 1.31/1.54 (step @p7448 :rule cong :premises (@p7447) :args (@t4518)) % 1.31/1.54 (step @p7449 :rule nary_cong :premises (@p7448 @p7446) :args (@t4519)) % 1.31/1.54 (step @p7450 :rule cong :premises (@p7449) :args (@t4520)) % 1.31/1.54 (step @p7451 :rule trans :premises (@p7450 @p7438)) % 1.31/1.54 (step @p7452 :rule cong :premises (@p7451) :args (@t4521)) % 1.31/1.54 (step @p7453 :rule beta-reduce :args ((= @t4522 @t4521))) % 1.31/1.54 (step @p7454 :rule trans :premises (@p7453 @p7452)) % 1.31/1.54 (step @p7455 :rule cong :premises (@p7454 @p7435) :args (@t4523)) % 1.31/1.54 (step @p7456 :rule aci_norm :args ((= (or false @t2317) @t2317))) % 1.31/1.54 (step @p7457 :rule refl :args (@t2317)) % 1.31/1.54 (step @p7458 :rule nary_cong :premises (@p5064 @p7457) :args (@t4524)) % 1.31/1.54 (step @p7459 :rule trans :premises (@p7458 @p7456)) % 1.31/1.54 (step @p7460 :rule cong :premises (@p7459) :args ((forall @t70 @t4524))) % 1.31/1.54 (step @p7461 :rule quant-var-elim-eq :args ((= (forall @t9 @t4525) @t4524))) % 1.31/1.54 (step @p7462 :rule aci_norm :args ((= @t4526 @t4525))) % 1.31/1.54 (step @p7463 :rule cong :premises (@p7462) :args (@t4527)) % 1.31/1.54 (step @p7464 :rule trans :premises (@p7463 @p7461)) % 1.31/1.54 (step @p7465 :rule cong :premises (@p7464) :args (@t4528)) % 1.31/1.54 (step @p7466 :rule quant-merge-prenex :args ((= @t4528 @t4529))) % 1.31/1.54 (step @p7467 :rule symm :premises (@p7466)) % 1.31/1.54 (step @p7468 :rule quant_var_reordering :args ((= (forall @t135 @t4526) @t4529))) % 1.31/1.54 (step @p7469 :rule trans :premises (@p7468 @p7467 @p7465)) % 1.31/1.54 (step @p7470 :rule trans :premises (@p7469 @p7460)) % 1.31/1.54 (step @p7471 :rule nary_cong :premises (@p5089 @p7301) :args (@t4468)) % 1.31/1.54 (step @p7472 :rule cong :premises (@p7471) :args ((forall @t135 @t4468))) % 1.31/1.54 (step @p7473 :rule trans :premises (@p7472 @p7470)) % 1.31/1.54 (step @p7474 :rule cong :premises (@p7306) :args (@t376)) % 1.31/1.54 (step @p7475 :rule trans :premises (@p7474 @p7473)) % 1.31/1.54 (step @p7476 :rule cong :premises (@p7475 @p7455) :args (@t4530)) % 1.31/1.54 (step @p7477 :rule cong :premises (@p7476) :args (@t4531)) % 1.31/1.54 (step @p7478 :rule trans :premises (@p7477 @p7412)) % 1.31/1.54 (step @p7479 :rule refl :args (tptp.descr__Cong)) % 1.31/1.54 (step @p7480 :rule cong :premises (@p7479 @p7478) :args ((= tptp.descr__Cong @t4531))) % 1.31/1.54 (step @p7481 :rule refl :args (@t370)) % 1.31/1.54 (step @p7482 :rule bool-and-de-morgan :args (@t144 @t2335 true)) % 1.31/1.54 (step @p7483 :rule cong :premises (@p7482) :args (@t4533)) % 1.31/1.54 (step @p7484 :rule trans :premises (@p7483 @p7438)) % 1.31/1.54 (step @p7485 :rule cong :premises (@p7484) :args (@t4534)) % 1.31/1.54 (step @p7486 :rule exists-elim :args ((= (exists @t9 @t4532) @t4534))) % 1.31/1.54 (step @p7487 :rule trans :premises (@p7486 @p7485)) % 1.31/1.54 (step @p7488 :rule cong :premises (@p3968) :args (@t167)) % 1.31/1.54 (step @p7489 :rule trans :premises (@p7488 @p7440)) % 1.31/1.54 (step @p7490 :rule nary_cong :premises (@p5416 @p7489) :args (@t168)) % 1.31/1.54 (step @p7491 :rule cong :premises (@p7490) :args (@t169)) % 1.31/1.54 (step @p7492 :rule trans :premises (@p7491 @p7487)) % 1.31/1.54 (step @p7493 :rule cong :premises (@p7492) :args (@t1584)) % 1.31/1.54 (step @p7494 :rule trans :premises (@p257 @p7493)) % 1.31/1.54 (step @p7495 :rule ho_cong :premises (@p7494 @p7481)) % 1.31/1.54 (step @p7496 :rule cong :premises (@p7495 @p7413) :args (@t405)) % 1.31/1.54 (step @p7497 :rule ho_cong :premises (@p7494 @p3989)) % 1.31/1.54 (step @p7498 :rule cong :premises (@p7497 @p7496) :args (@t406)) % 1.31/1.54 (step @p7499 :rule refl :args (@t376)) % 1.31/1.54 (step @p7500 :rule cong :premises (@p7499 @p7498) :args (@t407)) % 1.31/1.54 (step @p7501 :rule cong :premises (@p7500) :args (@t408)) % 1.31/1.54 (step @p7502 :rule cong :premises (@p7479 @p7501) :args (@t409)) % 1.31/1.54 (step @p7503 :rule trans :premises (@p7502 @p7480)) % 1.31/1.54 (step @p7504 :rule eq_resolve :premises (@p74 @p7503)) % 1.31/1.54 (step @p7505 :rule cong :premises (@p7504 @p7326) :args (@t4535)) % 1.31/1.54 (step @p7506 :rule refl :args (@t2324)) % 1.31/1.54 (step @p7507 :rule refl :args (@t2325)) % 1.31/1.54 (step @p7508 :rule refl :args (@t2326)) % 1.31/1.54 (step @p7509 :rule eq-symm :args (@t2327 @t19)) % 1.31/1.54 (step @p7510 :rule nary_cong :premises (@p7334 @p7509) :args (@t4536)) % 1.31/1.54 (step @p7511 :rule cong :premises (@p7510) :args (@t4537)) % 1.31/1.54 (step @p7512 :rule cong :premises (@p7511) :args (@t4538)) % 1.31/1.54 (step @p7513 :rule refl :args (@t2328)) % 1.31/1.54 (step @p7514 :rule nary_cong :premises (@p7513 @p7512 @p7508 @p7507 @p7506) :args (@t4539)) % 1.31/1.54 (step @p7515 :rule aci_norm :args ((= @t4542 @t4539))) % 1.31/1.54 (step @p7516 :rule trans :premises (@p7515 @p7514)) % 1.31/1.54 (step @p7517 :rule cong :premises (@p7516) :args (@t4543)) % 1.31/1.54 (step @p7518 :rule quant-merge-prenex :args ((= (forall @t150 @t4544) @t4543))) % 1.31/1.54 (step @p7519 :rule alpha_equiv :args (@t4545 (@list @t2323 @t2322) (@list @t4 @t19))) % 1.31/1.54 (step @p7520 :rule alpha_equiv :args (@t4546 (@list @t2327) @t2833)) % 1.31/1.54 (step @p7521 :rule nary_cong :premises (@p7520 @p7519) :args (@t4547)) % 1.31/1.54 (step @p7522 :rule quant-miniscope-or :args ((= @t4544 @t4547))) % 1.31/1.54 (step @p7523 :rule trans :premises (@p7522 @p7521)) % 1.31/1.54 (step @p7524 :rule symm :premises (@p7523)) % 1.31/1.54 (step @p7525 :rule cong :premises (@p7524) :args ((forall @t150 (or @t2337 @t2344)))) % 1.31/1.54 (step @p7526 :rule trans :premises (@p7525 @p7518)) % 1.31/1.54 (step @p7527 :rule trans :premises (@p7526 @p7517)) % 1.31/1.54 (step @p7528 :rule refl :args (@t2344)) % 1.31/1.54 (step @p7529 :rule nary_cong :premises (@p7402 @p7528) :args ((or @t4492 @t2344))) % 1.31/1.54 (step @p7530 :rule bool-impl-elim :args (@t2338 @t2344)) % 1.31/1.54 (step @p7531 :rule trans :premises (@p7530 @p7529)) % 1.31/1.54 (step @p7532 :rule cong :premises (@p7531) :args ((forall @t150 (=> @t2338 @t2344)))) % 1.31/1.54 (step @p7533 :rule trans :premises (@p7532 @p7527)) % 1.31/1.54 (step @p7534 :rule nary_cong :premises (@p3941 @p3956 @p3950) :args (@t3813)) % 1.31/1.54 (step @p7535 :rule cong :premises (@p7534) :args ((forall @t135 @t3813))) % 1.31/1.54 (step @p7536 :rule cong :premises (@p3973) :args (@t346)) % 1.31/1.54 (step @p7537 :rule trans :premises (@p7536 @p7535)) % 1.31/1.54 (step @p7538 :rule cong :premises (@p7454 @p7537) :args (@t4548)) % 1.31/1.54 (step @p7539 :rule cong :premises (@p7538) :args (@t4549)) % 1.31/1.54 (step @p7540 :rule trans :premises (@p7539 @p7533)) % 1.31/1.54 (step @p7541 :rule refl :args (tptp.exuEu)) % 1.31/1.54 (step @p7542 :rule cong :premises (@p7541 @p7540) :args ((= tptp.exuEu @t4549))) % 1.31/1.54 (step @p7543 :rule refl :args (@t346)) % 1.31/1.54 (step @p7544 :rule cong :premises (@p7497 @p7543) :args (@t365)) % 1.31/1.54 (step @p7545 :rule cong :premises (@p7544) :args (@t366)) % 1.31/1.54 (step @p7546 :rule cong :premises (@p7541 @p7545) :args (@t402)) % 1.31/1.54 (step @p7547 :rule trans :premises (@p7546 @p7542)) % 1.31/1.54 (step @p7548 :rule eq_resolve :premises (@p73 @p7547)) % 1.31/1.54 (step @p7549 :rule cong :premises (@p7548 @p7505) :args (@t4550)) % 1.31/1.54 (step @p7550 :rule bool-eq-true :args (tptp.omega__Cong)) % 1.31/1.54 (step @p7551 :rule symm :premises (@p7550)) % 1.31/1.54 (step @p7552 :rule eq-refl :args (tptp.omega)) % 1.31/1.54 (step @p7553 :rule refl :args (tptp.omega__Cong)) % 1.31/1.54 (step @p7554 :rule cong :premises (@p7553 @p7552) :args (@t401)) % 1.31/1.54 (step @p7555 :rule trans :premises (@p7554 @p7550)) % 1.31/1.54 (step @p7556 :rule eq_resolve :premises (@p72 @p7555)) % 1.31/1.54 (step @p7557 :rule eq_resolve :premises (@p7556 @p7551)) % 1.31/1.54 (step @p7558 :rule cong :premises (@p7557 @p7549) :args (@t4551)) % 1.31/1.54 (step @p7559 :rule bool-eq-true :args (tptp.setunion__Cong)) % 1.31/1.54 (step @p7560 :rule symm :premises (@p7559)) % 1.31/1.54 (step @p7561 :rule quant-unused-vars :args ((= (forall @t41 true) true))) % 1.31/1.54 (step @p7562 :rule evaluate :args ((or false true))) % 1.31/1.54 (step @p7563 :rule eq-refl :args (@t4552)) % 1.31/1.54 (step @p7564 :rule nary_cong :premises (@p7020 @p7563) :args (@t4553)) % 1.31/1.54 (step @p7565 :rule trans :premises (@p7564 @p7562)) % 1.31/1.54 (step @p7566 :rule cong :premises (@p7565) :args ((forall @t41 @t4553))) % 1.31/1.54 (step @p7567 :rule trans :premises (@p7566 @p7561)) % 1.31/1.54 (step @p7568 :rule quant-var-elim-eq :args ((= (forall @t64 @t4555) @t4553))) % 1.31/1.54 (step @p7569 :rule aci_norm :args ((= @t4556 @t4555))) % 1.31/1.54 (step @p7570 :rule cong :premises (@p7569) :args (@t4557)) % 1.31/1.54 (step @p7571 :rule trans :premises (@p7570 @p7568)) % 1.31/1.54 (step @p7572 :rule cong :premises (@p7571) :args (@t4558)) % 1.31/1.54 (step @p7573 :rule quant-merge-prenex :args ((= @t4558 @t4559))) % 1.31/1.54 (step @p7574 :rule symm :premises (@p7573)) % 1.31/1.54 (step @p7575 :rule quant_var_reordering :args ((= (forall @t12 @t4556) @t4559))) % 1.31/1.54 (step @p7576 :rule trans :premises (@p7575 @p7574 @p7572)) % 1.31/1.54 (step @p7577 :rule trans :premises (@p7576 @p7567)) % 1.31/1.54 (step @p7578 :rule refl :args (@t4552)) % 1.31/1.54 (step @p7579 :rule refl :args (@t397)) % 1.31/1.54 (step @p7580 :rule cong :premises (@p7579 @p7578) :args ((= @t397 @t4552))) % 1.31/1.54 (step @p7581 :rule symm :premises (@p7580)) % 1.31/1.54 (step @p7582 :rule eq_resolve :premises (@p7579 @p7581)) % 1.31/1.54 (step @p7583 :rule cong :premises (@p5543 @p7582) :args (@t398)) % 1.31/1.54 (step @p7584 :rule nary_cong :premises (@p7035 @p7583) :args (@t4560)) % 1.31/1.54 (step @p7585 :rule cong :premises (@p7584) :args ((forall @t12 @t4560))) % 1.31/1.54 (step @p7586 :rule trans :premises (@p7585 @p7577)) % 1.31/1.54 (step @p7587 :rule bool-impl-elim :args (@t3 @t398)) % 1.31/1.54 (step @p7588 :rule cong :premises (@p7587) :args (@t399)) % 1.31/1.54 (step @p7589 :rule trans :premises (@p7588 @p7586)) % 1.31/1.54 (step @p7590 :rule refl :args (tptp.setunion__Cong)) % 1.31/1.54 (step @p7591 :rule cong :premises (@p7590 @p7589) :args (@t400)) % 1.31/1.54 (step @p7592 :rule trans :premises (@p7591 @p7559)) % 1.31/1.54 (step @p7593 :rule eq_resolve :premises (@p71 @p7592)) % 1.31/1.54 (step @p7594 :rule eq_resolve :premises (@p7593 @p7560)) % 1.31/1.54 (step @p7595 :rule cong :premises (@p7594 @p7558) :args (@t4561)) % 1.31/1.54 (step @p7596 :rule bool-eq-true :args (tptp.powerset__Cong)) % 1.31/1.54 (step @p7597 :rule symm :premises (@p7596)) % 1.31/1.54 (step @p7598 :rule eq-refl :args (@t2263)) % 1.31/1.54 (step @p7599 :rule nary_cong :premises (@p7020 @p7598) :args (@t4562)) % 1.31/1.54 (step @p7600 :rule trans :premises (@p7599 @p7562)) % 1.31/1.54 (step @p7601 :rule cong :premises (@p7600) :args ((forall @t41 @t4562))) % 1.31/1.54 (step @p7602 :rule trans :premises (@p7601 @p7561)) % 1.31/1.54 (step @p7603 :rule quant-var-elim-eq :args ((= (forall @t64 @t4564) @t4562))) % 1.31/1.54 (step @p7604 :rule aci_norm :args ((= @t4565 @t4564))) % 1.31/1.54 (step @p7605 :rule cong :premises (@p7604) :args (@t4566)) % 1.31/1.54 (step @p7606 :rule trans :premises (@p7605 @p7603)) % 1.31/1.54 (step @p7607 :rule cong :premises (@p7606) :args (@t4567)) % 1.31/1.54 (step @p7608 :rule quant-merge-prenex :args ((= @t4567 @t4568))) % 1.31/1.54 (step @p7609 :rule symm :premises (@p7608)) % 1.31/1.54 (step @p7610 :rule quant_var_reordering :args ((= (forall @t12 @t4565) @t4568))) % 1.31/1.54 (step @p7611 :rule trans :premises (@p7610 @p7609 @p7607)) % 1.31/1.54 (step @p7612 :rule trans :premises (@p7611 @p7602)) % 1.31/1.54 (step @p7613 :rule cong :premises (@p795 @p6822) :args (@t394)) % 1.31/1.54 (step @p7614 :rule nary_cong :premises (@p7035 @p7613) :args (@t4569)) % 1.31/1.54 (step @p7615 :rule cong :premises (@p7614) :args ((forall @t12 @t4569))) % 1.31/1.54 (step @p7616 :rule trans :premises (@p7615 @p7612)) % 1.31/1.54 (step @p7617 :rule bool-impl-elim :args (@t3 @t394)) % 1.31/1.54 (step @p7618 :rule cong :premises (@p7617) :args (@t395)) % 1.31/1.54 (step @p7619 :rule trans :premises (@p7618 @p7616)) % 1.31/1.54 (step @p7620 :rule refl :args (tptp.powerset__Cong)) % 1.31/1.54 (step @p7621 :rule cong :premises (@p7620 @p7619) :args (@t396)) % 1.31/1.54 (step @p7622 :rule trans :premises (@p7621 @p7596)) % 1.31/1.54 (step @p7623 :rule eq_resolve :premises (@p70 @p7622)) % 1.31/1.54 (step @p7624 :rule eq_resolve :premises (@p7623 @p7597)) % 1.31/1.54 (step @p7625 :rule cong :premises (@p7624 @p7595) :args (@t4570)) % 1.31/1.54 (step @p7626 :rule bool-eq-true :args (tptp.setadjoin__Cong)) % 1.31/1.54 (step @p7627 :rule symm :premises (@p7626)) % 1.31/1.54 (step @p7628 :rule quant-unused-vars :args ((= (forall @t4572 true) true))) % 1.31/1.54 (step @p7629 :rule eq-refl :args (@t4573)) % 1.31/1.54 (step @p7630 :rule nary_cong :premises (@p5064 @p7629) :args (@t4574)) % 1.31/1.54 (step @p7631 :rule trans :premises (@p7630 @p7562)) % 1.31/1.54 (step @p7632 :rule cong :premises (@p7631) :args ((forall @t4572 @t4574))) % 1.31/1.54 (step @p7633 :rule trans :premises (@p7632 @p7628)) % 1.31/1.54 (step @p7634 :rule quant-var-elim-eq :args ((= (forall @t9 @t4576) @t4574))) % 1.31/1.54 (step @p7635 :rule aci_norm :args ((= @t4577 @t4576))) % 1.31/1.54 (step @p7636 :rule cong :premises (@p7635) :args (@t4578)) % 1.31/1.54 (step @p7637 :rule trans :premises (@p7636 @p7634)) % 1.31/1.54 (step @p7638 :rule cong :premises (@p7637) :args (@t4579)) % 1.31/1.54 (step @p7639 :rule quant-merge-prenex :args ((= @t4579 @t4580))) % 1.31/1.54 (step @p7640 :rule symm :premises (@p7639)) % 1.31/1.54 (step @p7641 :rule quant_var_reordering :args ((= @t4581 @t4580))) % 1.31/1.54 (step @p7642 :rule trans :premises (@p7641 @p7640 @p7638)) % 1.31/1.54 (step @p7643 :rule trans :premises (@p7642 @p7633)) % 1.31/1.54 (step @p7644 :rule quant-merge-prenex :args ((= (forall @t135 @t4583) @t4581))) % 1.31/1.54 (step @p7645 :rule alpha_equiv :args (@t4584 (@list @t4571) (@list @t383))) % 1.31/1.54 (step @p7646 :rule nary_cong :premises (@p5089 @p7645) :args (@t4585)) % 1.31/1.54 (step @p7647 :rule quant-miniscope-or :args ((= @t4583 @t4585))) % 1.31/1.54 (step @p7648 :rule trans :premises (@p7647 @p7646)) % 1.31/1.54 (step @p7649 :rule symm :premises (@p7648)) % 1.31/1.54 (step @p7650 :rule cong :premises (@p7649) :args ((forall @t135 (or @t282 @t4589)))) % 1.31/1.54 (step @p7651 :rule trans :premises (@p7650 @p7644)) % 1.31/1.54 (step @p7652 :rule trans :premises (@p7651 @p7643)) % 1.31/1.54 (step @p7653 :rule bool-impl-elim :args (@t129 @t4589)) % 1.31/1.54 (step @p7654 :rule cong :premises (@p7653) :args ((forall @t135 (=> @t129 @t4589)))) % 1.31/1.54 (step @p7655 :rule trans :premises (@p7654 @p7652)) % 1.31/1.54 (step @p7656 :rule aci_norm :args ((= (or false @t4588) @t4588))) % 1.31/1.54 (step @p7657 :rule eq-symm :args (@t4586 @t4587)) % 1.31/1.54 (step @p7658 :rule nary_cong :premises (@p5028 @p7657) :args (@t4590)) % 1.31/1.54 (step @p7659 :rule trans :premises (@p7658 @p7656)) % 1.31/1.54 (step @p7660 :rule cong :premises (@p7659) :args ((forall @t756 @t4590))) % 1.31/1.54 (step @p7661 :rule quant-var-elim-eq :args ((= (forall @t1065 @t4593) @t4590))) % 1.31/1.54 (step @p7662 :rule aci_norm :args ((= @t4594 @t4593))) % 1.31/1.54 (step @p7663 :rule cong :premises (@p7662) :args (@t4595)) % 1.31/1.54 (step @p7664 :rule trans :premises (@p7663 @p7661)) % 1.31/1.54 (step @p7665 :rule cong :premises (@p7664) :args (@t4596)) % 1.31/1.54 (step @p7666 :rule quant-merge-prenex :args ((= @t4596 @t4597))) % 1.31/1.54 (step @p7667 :rule symm :premises (@p7666)) % 1.31/1.54 (step @p7668 :rule quant_var_reordering :args ((= (forall @t388 @t4594) @t4597))) % 1.31/1.54 (step @p7669 :rule trans :premises (@p7668 @p7667 @p7665)) % 1.31/1.54 (step @p7670 :rule trans :premises (@p7669 @p7660)) % 1.31/1.54 (step @p7671 :rule refl :args (@t4587)) % 1.31/1.54 (step @p7672 :rule refl :args (@t384)) % 1.31/1.54 (step @p7673 :rule cong :premises (@p7672 @p7671) :args ((= @t384 @t4587))) % 1.31/1.54 (step @p7674 :rule symm :premises (@p7673)) % 1.31/1.54 (step @p7675 :rule eq_resolve :premises (@p7672 @p7674)) % 1.31/1.54 (step @p7676 :rule refl :args (@t4591)) % 1.31/1.54 (step @p7677 :rule refl :args (@t385)) % 1.31/1.54 (step @p7678 :rule cong :premises (@p7677 @p7676) :args ((= @t385 @t4591))) % 1.31/1.54 (step @p7679 :rule symm :premises (@p7678)) % 1.31/1.54 (step @p7680 :rule eq_resolve :premises (@p7677 @p7679)) % 1.31/1.54 (step @p7681 :rule cong :premises (@p7680 @p7675) :args (@t386)) % 1.31/1.54 (step @p7682 :rule nary_cong :premises (@p5043 @p7681) :args (@t4598)) % 1.31/1.54 (step @p7683 :rule cong :premises (@p7682) :args ((forall @t388 @t4598))) % 1.31/1.54 (step @p7684 :rule trans :premises (@p7683 @p7670)) % 1.31/1.54 (step @p7685 :rule bool-impl-elim :args (@t387 @t386)) % 1.31/1.54 (step @p7686 :rule cong :premises (@p7685) :args (@t389)) % 1.31/1.54 (step @p7687 :rule trans :premises (@p7686 @p7684)) % 1.31/1.54 (step @p7688 :rule cong :premises (@p5123 @p7687) :args (@t390)) % 1.31/1.54 (step @p7689 :rule cong :premises (@p7688) :args (@t391)) % 1.31/1.54 (step @p7690 :rule trans :premises (@p7689 @p7655)) % 1.31/1.54 (step @p7691 :rule refl :args (tptp.setadjoin__Cong)) % 1.31/1.54 (step @p7692 :rule cong :premises (@p7691 @p7690) :args (@t392)) % 1.31/1.54 (step @p7693 :rule trans :premises (@p7692 @p7626)) % 1.31/1.54 (step @p7694 :rule eq_resolve :premises (@p69 @p7693)) % 1.31/1.54 (step @p7695 :rule eq_resolve :premises (@p7694 @p7627)) % 1.31/1.54 (step @p7696 :rule cong :premises (@p7695 @p7625) :args (@t4599)) % 1.31/1.54 (step @p7697 :rule bool-eq-true :args (tptp.emptyset__Cong)) % 1.31/1.54 (step @p7698 :rule symm :premises (@p7697)) % 1.31/1.54 (step @p7699 :rule eq-refl :args (tptp.emptyset)) % 1.31/1.54 (step @p7700 :rule refl :args (tptp.emptyset__Cong)) % 1.31/1.54 (step @p7701 :rule cong :premises (@p7700 @p7699) :args (@t382)) % 1.31/1.54 (step @p7702 :rule trans :premises (@p7701 @p7697)) % 1.31/1.54 (step @p7703 :rule eq_resolve :premises (@p68 @p7702)) % 1.31/1.54 (step @p7704 :rule eq_resolve :premises (@p7703 @p7698)) % 1.31/1.54 (step @p7705 :rule cong :premises (@p7704 @p7696) :args (@t4600)) % 1.31/1.54 (step @p7706 :rule bool-impl-elim :args (@t2318 @t2339)) % 1.31/1.54 (step @p7707 :rule cong :premises (@p7706) :args ((forall @t378 (=> @t2318 @t2339)))) % 1.31/1.54 (step @p7708 :rule cong :premises (@p7454 @p7434) :args (@t4601)) % 1.31/1.54 (step @p7709 :rule cong :premises (@p7475 @p7708) :args (@t4602)) % 1.31/1.54 (step @p7710 :rule cong :premises (@p7709) :args (@t4603)) % 1.31/1.54 (step @p7711 :rule trans :premises (@p7710 @p7707)) % 1.31/1.54 (step @p7712 :rule refl :args (tptp.exu__Cong)) % 1.31/1.54 (step @p7713 :rule cong :premises (@p7712 @p7711) :args ((= tptp.exu__Cong @t4603))) % 1.31/1.54 (step @p7714 :rule cong :premises (@p7497 @p7495) :args (@t372)) % 1.31/1.54 (step @p7715 :rule cong :premises (@p7499 @p7714) :args (@t377)) % 1.31/1.54 (step @p7716 :rule cong :premises (@p7715) :args (@t379)) % 1.31/1.54 (step @p7717 :rule cong :premises (@p7712 @p7716) :args (@t380)) % 1.31/1.54 (step @p7718 :rule trans :premises (@p7717 @p7713)) % 1.31/1.54 (step @p7719 :rule eq_resolve :premises (@p67 @p7718)) % 1.31/1.54 (step @p7720 :rule cong :premises (@p7719 @p7705) :args (@t4604)) % 1.31/1.54 (step @p7721 :rule refl :args (tptp.exuE3u)) % 1.31/1.54 (step @p7722 :rule cong :premises (@p7721 @p7540) :args ((= tptp.exuE3u @t4549))) % 1.31/1.54 (step @p7723 :rule cong :premises (@p7721 @p7545) :args (@t367)) % 1.31/1.54 (step @p7724 :rule trans :premises (@p7723 @p7722)) % 1.31/1.54 (step @p7725 :rule eq_resolve :premises (@p66 @p7724)) % 1.31/1.54 (step @p7726 :rule cong :premises (@p7725 @p7720) :args (@t4605)) % 1.31/1.54 (step @p7727 :rule bool-eq-true :args (tptp.in__Cong)) % 1.31/1.54 (step @p7728 :rule symm :premises (@p7727)) % 1.31/1.54 (step @p7729 :rule quant-unused-vars :args ((= (forall @t4607 true) true))) % 1.31/1.54 (step @p7730 :rule eq-refl :args (@t4608)) % 1.31/1.54 (step @p7731 :rule nary_cong :premises (@p7020 @p7730) :args (@t4609)) % 1.31/1.54 (step @p7732 :rule trans :premises (@p7731 @p7562)) % 1.31/1.54 (step @p7733 :rule cong :premises (@p7732) :args ((forall @t4607 @t4609))) % 1.31/1.54 (step @p7734 :rule trans :premises (@p7733 @p7729)) % 1.31/1.54 (step @p7735 :rule quant-var-elim-eq :args ((= (forall @t64 @t4611) @t4609))) % 1.31/1.54 (step @p7736 :rule aci_norm :args ((= @t4612 @t4611))) % 1.31/1.54 (step @p7737 :rule cong :premises (@p7736) :args (@t4613)) % 1.31/1.54 (step @p7738 :rule trans :premises (@p7737 @p7735)) % 1.31/1.54 (step @p7739 :rule cong :premises (@p7738) :args (@t4614)) % 1.31/1.54 (step @p7740 :rule quant-merge-prenex :args ((= @t4614 @t4615))) % 1.31/1.54 (step @p7741 :rule symm :premises (@p7740)) % 1.31/1.54 (step @p7742 :rule quant_var_reordering :args ((= @t4616 @t4615))) % 1.31/1.54 (step @p7743 :rule trans :premises (@p7742 @p7741 @p7739)) % 1.31/1.54 (step @p7744 :rule trans :premises (@p7743 @p7734)) % 1.31/1.54 (step @p7745 :rule quant-merge-prenex :args ((= (forall @t12 @t4618) @t4616))) % 1.31/1.54 (step @p7746 :rule alpha_equiv :args (@t4619 (@list @t4606) @t3250)) % 1.31/1.54 (step @p7747 :rule nary_cong :premises (@p7035 @p7746) :args (@t4620)) % 1.31/1.54 (step @p7748 :rule quant-miniscope-or :args ((= @t4618 @t4620))) % 1.31/1.54 (step @p7749 :rule trans :premises (@p7748 @p7747)) % 1.31/1.54 (step @p7750 :rule symm :premises (@p7749)) % 1.31/1.54 (step @p7751 :rule cong :premises (@p7750) :args ((forall @t12 (or @t445 @t4622)))) % 1.31/1.54 (step @p7752 :rule trans :premises (@p7751 @p7745)) % 1.31/1.54 (step @p7753 :rule trans :premises (@p7752 @p7744)) % 1.31/1.54 (step @p7754 :rule bool-impl-elim :args (@t3 @t4622)) % 1.31/1.54 (step @p7755 :rule cong :premises (@p7754) :args ((forall @t12 (=> @t3 @t4622)))) % 1.31/1.54 (step @p7756 :rule trans :premises (@p7755 @p7753)) % 1.31/1.54 (step @p7757 :rule aci_norm :args ((= (or false @t4621) @t4621))) % 1.31/1.54 (step @p7758 :rule refl :args (@t4621)) % 1.31/1.54 (step @p7759 :rule nary_cong :premises (@p5064 @p7758) :args (@t4623)) % 1.31/1.54 (step @p7760 :rule trans :premises (@p7759 @p7757)) % 1.31/1.54 (step @p7761 :rule cong :premises (@p7760) :args ((forall @t70 @t4623))) % 1.31/1.54 (step @p7762 :rule quant-var-elim-eq :args ((= (forall @t9 @t4625) @t4623))) % 1.31/1.54 (step @p7763 :rule aci_norm :args ((= @t4626 @t4625))) % 1.31/1.54 (step @p7764 :rule cong :premises (@p7763) :args (@t4627)) % 1.31/1.54 (step @p7765 :rule trans :premises (@p7764 @p7762)) % 1.31/1.54 (step @p7766 :rule cong :premises (@p7765) :args (@t4628)) % 1.31/1.54 (step @p7767 :rule quant-merge-prenex :args ((= @t4628 @t4629))) % 1.31/1.54 (step @p7768 :rule symm :premises (@p7767)) % 1.31/1.54 (step @p7769 :rule quant_var_reordering :args ((= (forall @t135 @t4626) @t4629))) % 1.31/1.54 (step @p7770 :rule trans :premises (@p7769 @p7768 @p7766)) % 1.31/1.54 (step @p7771 :rule trans :premises (@p7770 @p7761)) % 1.31/1.54 (step @p7772 :rule cong :premises (@p935 @p3447) :args (@t360)) % 1.31/1.54 (step @p7773 :rule nary_cong :premises (@p5089 @p7772) :args (@t4630)) % 1.31/1.54 (step @p7774 :rule cong :premises (@p7773) :args ((forall @t135 @t4630))) % 1.31/1.54 (step @p7775 :rule trans :premises (@p7774 @p7771)) % 1.31/1.54 (step @p7776 :rule bool-impl-elim :args (@t129 @t360)) % 1.31/1.54 (step @p7777 :rule cong :premises (@p7776) :args (@t361)) % 1.31/1.54 (step @p7778 :rule trans :premises (@p7777 @p7775)) % 1.31/1.54 (step @p7779 :rule cong :premises (@p7319 @p7778) :args (@t362)) % 1.31/1.54 (step @p7780 :rule cong :premises (@p7779) :args (@t363)) % 1.31/1.54 (step @p7781 :rule trans :premises (@p7780 @p7756)) % 1.31/1.54 (step @p7782 :rule refl :args (tptp.in__Cong)) % 1.31/1.54 (step @p7783 :rule cong :premises (@p7782 @p7781) :args (@t364)) % 1.31/1.54 (step @p7784 :rule trans :premises (@p7783 @p7727)) % 1.31/1.54 (step @p7785 :rule eq_resolve :premises (@p65 @p7784)) % 1.31/1.54 (step @p7786 :rule eq_resolve :premises (@p7785 @p7728)) % 1.31/1.54 (step @p7787 :rule cong :premises (@p7786 @p7726) :args (@t4631)) % 1.31/1.54 (step @p7788 :rule bool-eq-true :args (tptp.inCongP)) % 1.31/1.54 (step @p7789 :rule symm :premises (@p7788)) % 1.31/1.54 (step @p7790 :rule quant-unused-vars :args ((= (forall @t4633 true) true))) % 1.31/1.54 (step @p7791 :rule bool-or-taut2 :args (false @t4634 false false)) % 1.31/1.54 (step @p7792 :rule cong :premises (@p7791) :args ((forall @t4633 @t4636))) % 1.31/1.54 (step @p7793 :rule trans :premises (@p7792 @p7790)) % 1.31/1.54 (step @p7794 :rule aci_norm :args ((= (or false @t4635 @t4634) @t4636))) % 1.31/1.54 (step @p7795 :rule refl :args (@t4634)) % 1.31/1.54 (step @p7796 :rule refl :args (@t4635)) % 1.31/1.54 (step @p7797 :rule nary_cong :premises (@p7020 @p7796 @p7795) :args (@t4637)) % 1.31/1.54 (step @p7798 :rule trans :premises (@p7797 @p7794)) % 1.31/1.54 (step @p7799 :rule cong :premises (@p7798) :args ((forall @t4633 @t4637))) % 1.31/1.54 (step @p7800 :rule trans :premises (@p7799 @p7793)) % 1.31/1.54 (step @p7801 :rule quant-var-elim-eq :args ((= (forall @t64 @t4639) @t4637))) % 1.31/1.54 (step @p7802 :rule aci_norm :args ((= @t4640 @t4639))) % 1.31/1.54 (step @p7803 :rule cong :premises (@p7802) :args (@t4641)) % 1.31/1.54 (step @p7804 :rule trans :premises (@p7803 @p7801)) % 1.31/1.54 (step @p7805 :rule cong :premises (@p7804) :args (@t4642)) % 1.31/1.54 (step @p7806 :rule quant-merge-prenex :args ((= @t4642 @t4643))) % 1.31/1.54 (step @p7807 :rule symm :premises (@p7806)) % 1.31/1.54 (step @p7808 :rule quant_var_reordering :args ((= (forall @t4644 @t4640) @t4643))) % 1.31/1.54 (step @p7809 :rule trans :premises (@p7808 @p7807 @p7805)) % 1.31/1.54 (step @p7810 :rule trans :premises (@p7809 @p7800)) % 1.31/1.54 (step @p7811 :rule aci_norm :args ((= @t4646 @t4640))) % 1.31/1.54 (step @p7812 :rule cong :premises (@p7811) :args (@t4647)) % 1.31/1.54 (step @p7813 :rule trans :premises (@p7812 @p7810)) % 1.31/1.54 (step @p7814 :rule quant-merge-prenex :args ((= (forall @t12 @t4649) @t4647))) % 1.31/1.54 (step @p7815 :rule alpha_equiv :args (@t4650 (@list @t4632) @t3250)) % 1.31/1.54 (step @p7816 :rule nary_cong :premises (@p7035 @p7815) :args (@t4651)) % 1.31/1.54 (step @p7817 :rule quant-miniscope-or :args ((= @t4649 @t4651))) % 1.31/1.54 (step @p7818 :rule trans :premises (@p7817 @p7816)) % 1.31/1.54 (step @p7819 :rule symm :premises (@p7818)) % 1.31/1.54 (step @p7820 :rule cong :premises (@p7819) :args ((forall @t12 (or @t445 @t4653)))) % 1.31/1.54 (step @p7821 :rule trans :premises (@p7820 @p7814)) % 1.31/1.54 (step @p7822 :rule trans :premises (@p7821 @p7813)) % 1.31/1.54 (step @p7823 :rule bool-impl-elim :args (@t3 @t4653)) % 1.31/1.54 (step @p7824 :rule cong :premises (@p7823) :args ((forall @t12 (=> @t3 @t4653)))) % 1.31/1.54 (step @p7825 :rule trans :premises (@p7824 @p7822)) % 1.31/1.54 (step @p7826 :rule aci_norm :args ((= (or false @t2105 @t1989) @t4652))) % 1.31/1.54 (step @p7827 :rule refl :args (@t2105)) % 1.31/1.54 (step @p7828 :rule nary_cong :premises (@p5064 @p7827 @p4471) :args (@t4654)) % 1.31/1.54 (step @p7829 :rule trans :premises (@p7828 @p7826)) % 1.31/1.54 (step @p7830 :rule cong :premises (@p7829) :args ((forall @t70 @t4654))) % 1.31/1.54 (step @p7831 :rule quant-var-elim-eq :args ((= (forall @t9 @t4655) @t4654))) % 1.31/1.54 (step @p7832 :rule aci_norm :args ((= @t4656 @t4655))) % 1.31/1.54 (step @p7833 :rule cong :premises (@p7832) :args (@t4657)) % 1.31/1.54 (step @p7834 :rule trans :premises (@p7833 @p7831)) % 1.31/1.54 (step @p7835 :rule cong :premises (@p7834) :args (@t4658)) % 1.31/1.54 (step @p7836 :rule quant-merge-prenex :args ((= @t4658 @t4659))) % 1.31/1.54 (step @p7837 :rule symm :premises (@p7836)) % 1.31/1.54 (step @p7838 :rule quant_var_reordering :args ((= (forall @t135 @t4656) @t4659))) % 1.31/1.54 (step @p7839 :rule trans :premises (@p7838 @p7837 @p7835)) % 1.31/1.54 (step @p7840 :rule trans :premises (@p7839 @p7830)) % 1.31/1.54 (step @p7841 :rule nary_cong :premises (@p5089 @p936 @p3447) :args (@t4660)) % 1.31/1.54 (step @p7842 :rule cong :premises (@p7841) :args ((forall @t135 @t4660))) % 1.31/1.54 (step @p7843 :rule trans :premises (@p7842 @p7840)) % 1.31/1.54 (step @p7844 :rule aci_norm :args ((= (or @t282 (or @t197 @t354)) @t4660))) % 1.31/1.54 (step @p7845 :rule bool-impl-elim :args (@t7 @t354)) % 1.31/1.54 (step @p7846 :rule nary_cong :premises (@p5089 @p7845) :args ((or @t282 @t355))) % 1.31/1.54 (step @p7847 :rule trans :premises (@p7846 @p7844)) % 1.31/1.54 (step @p7848 :rule bool-impl-elim :args (@t129 @t355)) % 1.31/1.54 (step @p7849 :rule trans :premises (@p7848 @p7847)) % 1.31/1.54 (step @p7850 :rule cong :premises (@p7849) :args (@t356)) % 1.31/1.54 (step @p7851 :rule trans :premises (@p7850 @p7843)) % 1.31/1.54 (step @p7852 :rule cong :premises (@p7319 @p7851) :args (@t357)) % 1.31/1.54 (step @p7853 :rule cong :premises (@p7852) :args (@t358)) % 1.31/1.54 (step @p7854 :rule trans :premises (@p7853 @p7825)) % 1.31/1.54 (step @p7855 :rule refl :args (tptp.inCongP)) % 1.31/1.54 (step @p7856 :rule cong :premises (@p7855 @p7854) :args (@t359)) % 1.31/1.54 (step @p7857 :rule trans :premises (@p7856 @p7788)) % 1.31/1.54 (step @p7858 :rule eq_resolve :premises (@p64 @p7857)) % 1.31/1.54 (step @p7859 :rule eq_resolve :premises (@p7858 @p7789)) % 1.31/1.54 (step @p7860 :rule cong :premises (@p7859 @p7787) :args (@t4661)) % 1.31/1.54 (step @p7861 :rule refl :args (@t2338)) % 1.31/1.54 (step @p7862 :rule eq-symm :args (@t2341 @t19)) % 1.31/1.54 (step @p7863 :rule refl :args (@t2102)) % 1.31/1.54 (step @p7864 :rule cong :premises (@p7863 @p7862) :args ((= @t2102 @t4662))) % 1.31/1.54 (step @p7865 :rule eq-symm :args (@t4662 @t2102)) % 1.31/1.54 (step @p7866 :rule trans :premises (@p7865 @p7864)) % 1.31/1.54 (step @p7867 :rule cong :premises (@p7866) :args (@t4663)) % 1.31/1.54 (step @p7868 :rule cong :premises (@p7867) :args (@t4664)) % 1.31/1.54 (step @p7869 :rule nary_cong :premises (@p7868 @p7861) :args (@t4665)) % 1.31/1.54 (step @p7870 :rule cong :premises (@p7869) :args (@t4666)) % 1.31/1.54 (step @p7871 :rule quant-merge-prenex :args ((= (forall @t150 @t4668) @t4666))) % 1.31/1.54 (step @p7872 :rule refl :args (@t2338)) % 1.31/1.54 (step @p7873 :rule alpha_equiv :args (@t4669 (@list @t2341) @t2833)) % 1.31/1.54 (step @p7874 :rule nary_cong :premises (@p7873 @p7872) :args (@t4670)) % 1.31/1.54 (step @p7875 :rule quant-miniscope-or :args ((= @t4668 @t4670))) % 1.31/1.54 (step @p7876 :rule trans :premises (@p7875 @p7874)) % 1.31/1.54 (step @p7877 :rule symm :premises (@p7876)) % 1.31/1.54 (step @p7878 :rule cong :premises (@p7877) :args ((forall @t150 (or @t2392 @t2338)))) % 1.31/1.54 (step @p7879 :rule trans :premises (@p7878 @p7871)) % 1.31/1.54 (step @p7880 :rule trans :premises (@p7879 @p7870)) % 1.31/1.54 (step @p7881 :rule bool-double-not-elim :args (@t2392)) % 1.31/1.54 (step @p7882 :rule nary_cong :premises (@p7881 @p7872) :args ((or (not @t2393) @t2338))) % 1.31/1.54 (step @p7883 :rule bool-impl-elim :args (@t2393 @t2338)) % 1.31/1.54 (step @p7884 :rule trans :premises (@p7883 @p7882)) % 1.31/1.54 (step @p7885 :rule cong :premises (@p7884) :args ((forall @t150 (=> @t2393 @t2338)))) % 1.31/1.54 (step @p7886 :rule trans :premises (@p7885 @p7880)) % 1.31/1.54 (step @p7887 :rule exists-elim :args ((= (exists @t9 @t2391) @t2393))) % 1.31/1.54 (step @p7888 :rule eq-symm :args (@t2102 @t129)) % 1.31/1.54 (step @p7889 :rule cong :premises (@p7888) :args ((forall @t70 (= @t2102 @t129)))) % 1.31/1.54 (step @p7890 :rule cong :premises (@p3955 @p3950) :args (@t4671)) % 1.31/1.54 (step @p7891 :rule cong :premises (@p7890) :args ((forall @t70 @t4671))) % 1.31/1.54 (step @p7892 :rule trans :premises (@p7891 @p7889)) % 1.31/1.54 (step @p7893 :rule cong :premises (@p5410 @p5409) :args (@t263)) % 1.31/1.54 (step @p7894 :rule cong :premises (@p7893) :args (@t264)) % 1.31/1.54 (step @p7895 :rule trans :premises (@p7894 @p7892)) % 1.31/1.54 (step @p7896 :rule cong :premises (@p7895) :args (@t265)) % 1.31/1.54 (step @p7897 :rule trans :premises (@p7896 @p7887)) % 1.31/1.54 (step @p7898 :rule cong :premises (@p7897 @p7454) :args (@t4672)) % 1.31/1.54 (step @p7899 :rule cong :premises (@p7898) :args (@t4673)) % 1.31/1.54 (step @p7900 :rule trans :premises (@p7899 @p7886)) % 1.31/1.54 (step @p7901 :rule refl :args (tptp.exuI2)) % 1.31/1.54 (step @p7902 :rule cong :premises (@p7901 @p7900) :args ((= tptp.exuI2 @t4673))) % 1.31/1.54 (step @p7903 :rule refl :args (@t265)) % 1.31/1.54 (step @p7904 :rule cong :premises (@p7903 @p7497) :args (@t351)) % 1.31/1.54 (step @p7905 :rule cong :premises (@p7904) :args (@t352)) % 1.31/1.54 (step @p7906 :rule cong :premises (@p7901 @p7905) :args (@t353)) % 1.31/1.54 (step @p7907 :rule trans :premises (@p7906 @p7902)) % 1.31/1.54 (step @p7908 :rule eq_resolve :premises (@p63 @p7907)) % 1.31/1.54 (step @p7909 :rule cong :premises (@p7908 @p7860) :args (@t4674)) % 1.31/1.54 (step @p7910 :rule quant-merge-prenex :args ((= (forall @t150 @t4676) @t2349))) % 1.31/1.54 (step @p7911 :rule refl :args (@t2345)) % 1.31/1.54 (step @p7912 :rule alpha_equiv :args (@t4677 (@list @t2346) @t2833)) % 1.31/1.54 (step @p7913 :rule nary_cong :premises (@p7912 @p7911 @p7872) :args (@t4678)) % 1.31/1.54 (step @p7914 :rule quant-miniscope-or :args ((= @t4676 @t4678))) % 1.31/1.54 (step @p7915 :rule trans :premises (@p7914 @p7913)) % 1.31/1.54 (step @p7916 :rule symm :premises (@p7915)) % 1.31/1.54 (step @p7917 :rule cong :premises (@p7916) :args ((forall @t150 @t4679))) % 1.31/1.54 (step @p7918 :rule trans :premises (@p7917 @p7910)) % 1.31/1.54 (step @p7919 :rule aci_norm :args ((= (or @t2456 (or @t2345 @t2338)) @t4679))) % 1.31/1.54 (step @p7920 :rule bool-impl-elim :args (@t2344 @t2338)) % 1.31/1.54 (step @p7921 :rule refl :args (@t2456)) % 1.31/1.54 (step @p7922 :rule nary_cong :premises (@p7921 @p7920) :args ((or @t2456 @t4680))) % 1.31/1.54 (step @p7923 :rule trans :premises (@p7922 @p7919)) % 1.31/1.54 (step @p7924 :rule refl :args (@t4680)) % 1.31/1.54 (step @p7925 :rule bool-double-not-elim :args (@t2456)) % 1.31/1.54 (step @p7926 :rule nary_cong :premises (@p7925 @p7924) :args ((or (not @t2457) @t4680))) % 1.31/1.54 (step @p7927 :rule bool-impl-elim :args (@t2457 @t4680)) % 1.31/1.54 (step @p7928 :rule trans :premises (@p7927 @p7926)) % 1.31/1.54 (step @p7929 :rule trans :premises (@p7928 @p7923)) % 1.31/1.54 (step @p7930 :rule cong :premises (@p7929) :args ((forall @t150 (=> @t2457 @t4680)))) % 1.31/1.54 (step @p7931 :rule trans :premises (@p7930 @p7918)) % 1.31/1.54 (step @p7932 :rule cong :premises (@p7537 @p7454) :args (@t4681)) % 1.31/1.54 (step @p7933 :rule cong :premises (@p3941) :args (@t4682)) % 1.31/1.54 (step @p7934 :rule cong :premises (@p7933) :args (@t4683)) % 1.31/1.54 (step @p7935 :rule exists-elim :args ((= @t186 @t4683))) % 1.31/1.54 (step @p7936 :rule trans :premises (@p7935 @p7934)) % 1.31/1.54 (step @p7937 :rule cong :premises (@p7936 @p7932) :args (@t4684)) % 1.31/1.54 (step @p7938 :rule cong :premises (@p7937) :args (@t4685)) % 1.31/1.54 (step @p7939 :rule trans :premises (@p7938 @p7931)) % 1.31/1.54 (step @p7940 :rule refl :args (tptp.exuI3)) % 1.31/1.54 (step @p7941 :rule cong :premises (@p7940 @p7939) :args ((= tptp.exuI3 @t4685))) % 1.31/1.54 (step @p7942 :rule cong :premises (@p7543 @p7497) :args (@t347)) % 1.31/1.54 (step @p7943 :rule refl :args (@t186)) % 1.31/1.54 (step @p7944 :rule cong :premises (@p7943 @p7942) :args (@t348)) % 1.31/1.54 (step @p7945 :rule cong :premises (@p7944) :args (@t349)) % 1.31/1.54 (step @p7946 :rule cong :premises (@p7940 @p7945) :args (@t350)) % 1.31/1.54 (step @p7947 :rule trans :premises (@p7946 @p7941)) % 1.31/1.54 (step @p7948 :rule eq_resolve :premises (@p62 @p7947)) % 1.31/1.54 (step @p7949 :rule cong :premises (@p7948 @p7909) :args (@t4686)) % 1.31/1.54 (step @p7950 :rule bool-eq-true :args (tptp.exuI1)) % 1.31/1.54 (step @p7951 :rule symm :premises (@p7950)) % 1.31/1.54 (step @p7952 :rule quant-unused-vars :args ((= (forall @t150 true) true))) % 1.31/1.54 (step @p7953 :rule bool-or-taut :args (false @t2337 false false)) % 1.31/1.54 (step @p7954 :rule nary_cong :premises (@p7402 @p7872) :args ((or @t4492 @t2338))) % 1.31/1.54 (step @p7955 :rule bool-impl-elim :args (@t2338 @t2338)) % 1.31/1.54 (step @p7956 :rule trans :premises (@p7955 @p7954)) % 1.31/1.54 (step @p7957 :rule trans :premises (@p7956 @p7953)) % 1.31/1.54 (step @p7958 :rule cong :premises (@p7957) :args ((forall @t150 (=> @t2338 @t2338)))) % 1.31/1.54 (step @p7959 :rule trans :premises (@p7958 @p7952)) % 1.31/1.54 (step @p7960 :rule cong :premises (@p7492 @p7454) :args (@t4687)) % 1.31/1.54 (step @p7961 :rule cong :premises (@p7960) :args (@t4688)) % 1.31/1.54 (step @p7962 :rule trans :premises (@p7961 @p7959)) % 1.31/1.54 (step @p7963 :rule refl :args (tptp.exuI1)) % 1.31/1.54 (step @p7964 :rule cong :premises (@p7963 @p7962) :args ((= tptp.exuI1 @t4688))) % 1.31/1.54 (step @p7965 :rule trans :premises (@p7964 @p7950)) % 1.31/1.54 (step @p7966 :rule refl :args (@t169)) % 1.31/1.54 (step @p7967 :rule cong :premises (@p7966 @p7497) :args (@t342)) % 1.31/1.54 (step @p7968 :rule cong :premises (@p7967) :args (@t343)) % 1.31/1.54 (step @p7969 :rule cong :premises (@p7963 @p7968) :args (@t344)) % 1.31/1.54 (step @p7970 :rule trans :premises (@p7969 @p7965)) % 1.31/1.54 (step @p7971 :rule eq_resolve :premises (@p61 @p7970)) % 1.31/1.54 (step @p7972 :rule eq_resolve :premises (@p7971 @p7951)) % 1.31/1.54 (step @p7973 :rule cong :premises (@p7972 @p7949) :args (@t4689)) % 1.31/1.54 (step @p7974 :rule bool-eq-true :args (tptp.notdallE)) % 1.31/1.54 (step @p7975 :rule symm :premises (@p7974)) % 1.31/1.54 (step @p7976 :rule bool-eq-true :args (tptp.notdallE)) % 1.31/1.54 (step @p7977 :rule eq-symm :args (true tptp.notdallE)) % 1.31/1.54 (step @p7978 :rule trans :premises (@p7977 @p7976)) % 1.31/1.54 (step @p7979 :rule refl :args (tptp.notdallE)) % 1.31/1.54 (step @p7980 :rule quant-unused-vars :args ((= (forall @t311 true) true))) % 1.31/1.54 (step @p7981 :rule bool-or-taut :args (false @t4690 false false)) % 1.31/1.54 (step @p7982 :rule refl :args (@t4691)) % 1.31/1.54 (step @p7983 :rule bool-double-not-elim :args (@t4690)) % 1.31/1.54 (step @p7984 :rule nary_cong :premises (@p7983 @p7982) :args ((or (not @t4691) @t4691))) % 1.31/1.54 (step @p7985 :rule bool-impl-elim :args (@t4691 @t4691)) % 1.31/1.54 (step @p7986 :rule trans :premises (@p7985 @p7984)) % 1.31/1.54 (step @p7987 :rule trans :premises (@p7986 @p7981)) % 1.31/1.54 (step @p7988 :rule cong :premises (@p7987) :args ((forall @t311 (=> @t4691 @t4691)))) % 1.31/1.54 (step @p7989 :rule trans :premises (@p7988 @p7980)) % 1.31/1.54 (step @p7990 :rule nary_cong :premises (@p936 @p3915) :args (@t4692)) % 1.31/1.54 (step @p7991 :rule cong :premises (@p7990) :args ((forall @t9 @t4692))) % 1.31/1.54 (step @p7992 :rule bool-double-not-elim :args (@t144)) % 1.31/1.54 (step @p7993 :rule nary_cong :premises (@p941 @p7992) :args ((or @t197 (not @t317)))) % 1.31/1.54 (step @p7994 :rule bool-and-de-morgan :args (@t7 @t317 true)) % 1.31/1.54 (step @p7995 :rule trans :premises (@p7994 @p7993)) % 1.31/1.54 (step @p7996 :rule cong :premises (@p7995) :args (@t4693)) % 1.31/1.54 (step @p7997 :rule trans :premises (@p7996 @p7991)) % 1.31/1.54 (step @p7998 :rule cong :premises (@p7997) :args (@t4694)) % 1.31/1.54 (step @p7999 :rule exists-elim :args ((= @t319 @t4694))) % 1.31/1.54 (step @p8000 :rule trans :premises (@p7999 @p7998)) % 1.31/1.54 (step @p8001 :rule bool-impl-elim :args (@t7 @t144)) % 1.31/1.54 (step @p8002 :rule cong :premises (@p8001) :args (@t320)) % 1.31/1.54 (step @p8003 :rule trans :premises (@p8002 @p7991)) % 1.31/1.54 (step @p8004 :rule cong :premises (@p8003) :args (@t321)) % 1.31/1.54 (step @p8005 :rule cong :premises (@p8004 @p8000) :args (@t322)) % 1.31/1.54 (step @p8006 :rule cong :premises (@p8005) :args (@t323)) % 1.31/1.54 (step @p8007 :rule trans :premises (@p8006 @p7989)) % 1.31/1.54 (step @p8008 :rule cong :premises (@p8007 @p7979) :args ((= @t323 tptp.notdallE))) % 1.31/1.54 (step @p8009 :rule trans :premises (@p8008 @p7978)) % 1.31/1.54 (step @p8010 :rule eq-symm :args (tptp.notdallE @t323)) % 1.31/1.54 (step @p8011 :rule trans :premises (@p8010 @p8009)) % 1.31/1.54 (step @p8012 :rule eq_resolve :premises (@p60 @p8011)) % 1.31/1.54 (step @p8013 :rule eq_resolve :premises (@p8012 @p7975)) % 1.31/1.54 (step @p8014 :rule cong :premises (@p8013 @p7973) :args (@t4695)) % 1.31/1.54 (step @p8015 :rule bool-eq-true :args (tptp.notdexE)) % 1.31/1.54 (step @p8016 :rule symm :premises (@p8015)) % 1.31/1.54 (step @p8017 :rule bool-eq-true :args (tptp.notdexE)) % 1.31/1.54 (step @p8018 :rule eq-symm :args (true tptp.notdexE)) % 1.31/1.54 (step @p8019 :rule trans :premises (@p8018 @p8017)) % 1.31/1.54 (step @p8020 :rule refl :args (tptp.notdexE)) % 1.31/1.54 (step @p8021 :rule bool-or-taut2 :args (false @t2109 false false)) % 1.31/1.54 (step @p8022 :rule bool-impl-elim :args (@t2109 @t2109)) % 1.31/1.54 (step @p8023 :rule trans :premises (@p8022 @p8021)) % 1.31/1.54 (step @p8024 :rule cong :premises (@p8023) :args ((forall @t311 (=> @t2109 @t2109)))) % 1.31/1.54 (step @p8025 :rule trans :premises (@p8024 @p7980)) % 1.31/1.54 (step @p8026 :rule bool-impl-elim :args (@t7 @t317)) % 1.31/1.54 (step @p8027 :rule cong :premises (@p8026) :args (@t326)) % 1.31/1.54 (step @p8028 :rule trans :premises (@p8027 @p5313)) % 1.31/1.54 (step @p8029 :rule bool-double-not-elim :args (@t2109)) % 1.31/1.54 (step @p8030 :rule cong :premises (@p5319) :args (@t325)) % 1.31/1.54 (step @p8031 :rule trans :premises (@p8030 @p8029)) % 1.31/1.54 (step @p8032 :rule cong :premises (@p8031 @p8028) :args (@t330)) % 1.31/1.54 (step @p8033 :rule cong :premises (@p8032) :args (@t331)) % 1.31/1.54 (step @p8034 :rule trans :premises (@p8033 @p8025)) % 1.31/1.54 (step @p8035 :rule cong :premises (@p8034 @p8020) :args ((= @t331 tptp.notdexE))) % 1.31/1.54 (step @p8036 :rule trans :premises (@p8035 @p8019)) % 1.31/1.54 (step @p8037 :rule eq-symm :args (tptp.notdexE @t331)) % 1.31/1.54 (step @p8038 :rule trans :premises (@p8037 @p8036)) % 1.31/1.54 (step @p8039 :rule eq_resolve :premises (@p59 @p8038)) % 1.31/1.54 (step @p8040 :rule eq_resolve :premises (@p8039 @p8016)) % 1.31/1.54 (step @p8041 :rule cong :premises (@p8040 @p8014) :args (@t4696)) % 1.31/1.54 (step @p8042 :rule aci_norm :args ((= (or false @t2352) @t2352))) % 1.31/1.54 (step @p8043 :rule nary_cong :premises (@p2363 @p696) :args (@t4697)) % 1.31/1.54 (step @p8044 :rule trans :premises (@p8043 @p8042)) % 1.31/1.54 (step @p8045 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3291 @t1061 @t4699)) @t4697))) % 1.31/1.54 (step @p8046 :rule refl :args (@t4699)) % 1.31/1.54 (step @p8047 :rule nary_cong :premises (@p2374 @p2371 @p8046) :args (@t4700)) % 1.31/1.54 (step @p8048 :rule aci_norm :args ((= @t4701 @t4700))) % 1.31/1.54 (step @p8049 :rule trans :premises (@p8048 @p8047)) % 1.31/1.54 (step @p8050 :rule cong :premises (@p8049) :args ((forall @t179 @t4701))) % 1.31/1.54 (step @p8051 :rule trans :premises (@p8050 @p8045)) % 1.31/1.54 (step @p8052 :rule trans :premises (@p8051 @p8044)) % 1.31/1.54 (step @p8053 :rule refl :args ((tptp.set2prop @t174))) % 1.31/1.54 (step @p8054 :rule refl :args (@t4698)) % 1.31/1.54 (step @p8055 :rule cong :premises (@p8054) :args (@t4699)) % 1.31/1.54 (step @p8056 :rule trans :premises (@p8055 @p8053)) % 1.31/1.54 (step @p8057 :rule refl :args (tptp.set2prop)) % 1.31/1.54 (step @p8058 :rule ho_cong :premises (@p8057 @p8054)) % 1.31/1.54 (step @p8059 :rule cong :premises (@p8058 @p8056) :args ((= (_ tptp.set2prop @t4698) @t4699))) % 1.31/1.54 (step @p8060 :rule symm :premises (@p8059)) % 1.31/1.54 (step @p8061 :rule refl :args (@t339)) % 1.31/1.54 (step @p8062 :rule eq_resolve :premises (@p8061 @p8060)) % 1.31/1.54 (step @p8063 :rule refl :args (@t174)) % 1.31/1.54 (step @p8064 :rule cong :premises (@p8063 @p8054) :args ((= @t174 @t4698))) % 1.31/1.54 (step @p8065 :rule symm :premises (@p8064)) % 1.31/1.54 (step @p8066 :rule eq_resolve :premises (@p8063 @p8065)) % 1.31/1.54 (step @p8067 :rule ho_cong :premises (@p8057 @p8066)) % 1.31/1.54 (step @p8068 :rule trans :premises (@p8067 @p8062)) % 1.31/1.54 (step @p8069 :rule nary_cong :premises (@p2371 @p8068) :args (@t4702)) % 1.31/1.54 (step @p8070 :rule cong :premises (@p8069) :args ((forall @t179 @t4702))) % 1.31/1.54 (step @p8071 :rule trans :premises (@p8070 @p8052)) % 1.31/1.54 (step @p8072 :rule bool-impl-elim :args (@t173 @t339)) % 1.31/1.54 (step @p8073 :rule cong :premises (@p8072) :args (@t340)) % 1.31/1.54 (step @p8074 :rule trans :premises (@p8073 @p8071)) % 1.31/1.54 (step @p8075 :rule refl :args (tptp.prop2set2propI)) % 1.31/1.54 (step @p8076 :rule cong :premises (@p8075 @p8074) :args (@t341)) % 1.31/1.54 (step @p8077 :rule eq_resolve :premises (@p58 @p8076)) % 1.31/1.54 (step @p8078 :rule cong :premises (@p8077 @p8041) :args (@t4703)) % 1.31/1.54 (step @p8079 :rule aci_norm :args ((= (or false @t2354) @t2354))) % 1.31/1.54 (step @p8080 :rule nary_cong :premises (@p2363 @p698) :args (@t4704)) % 1.31/1.54 (step @p8081 :rule trans :premises (@p8080 @p8079)) % 1.31/1.54 (step @p8082 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3291 @t1061 @t4705)) @t4704))) % 1.31/1.54 (step @p8083 :rule refl :args (@t4705)) % 1.31/1.54 (step @p8084 :rule nary_cong :premises (@p2374 @p2371 @p8083) :args (@t4706)) % 1.31/1.54 (step @p8085 :rule aci_norm :args ((= @t4707 @t4706))) % 1.31/1.54 (step @p8086 :rule trans :premises (@p8085 @p8084)) % 1.31/1.54 (step @p8087 :rule cong :premises (@p8086) :args ((forall @t179 @t4707))) % 1.31/1.54 (step @p8088 :rule trans :premises (@p8087 @p8082)) % 1.31/1.54 (step @p8089 :rule trans :premises (@p8088 @p8081)) % 1.31/1.54 (step @p8090 :rule refl :args ((tptp.in tptp.emptyset @t174))) % 1.31/1.54 (step @p8091 :rule cong :premises (@p314 @p8054) :args (@t4705)) % 1.31/1.54 (step @p8092 :rule trans :premises (@p8091 @p8090)) % 1.31/1.54 (step @p8093 :rule ho_cong :premises (@p317 @p8054)) % 1.31/1.54 (step @p8094 :rule cong :premises (@p8093 @p8092) :args ((= (_ @t49 @t4698) @t4705))) % 1.31/1.54 (step @p8095 :rule symm :premises (@p8094)) % 1.31/1.54 (step @p8096 :rule refl :args (@t336)) % 1.31/1.54 (step @p8097 :rule eq_resolve :premises (@p8096 @p8095)) % 1.31/1.54 (step @p8098 :rule ho_cong :premises (@p317 @p8066)) % 1.31/1.55 (step @p8099 :rule trans :premises (@p8098 @p8097)) % 1.31/1.55 (step @p8100 :rule nary_cong :premises (@p2371 @p8099) :args (@t4708)) % 1.31/1.55 (step @p8101 :rule cong :premises (@p8100) :args ((forall @t179 @t4708))) % 1.31/1.55 (step @p8102 :rule trans :premises (@p8101 @p8089)) % 1.31/1.55 (step @p8103 :rule bool-impl-elim :args (@t173 @t336)) % 1.31/1.55 (step @p8104 :rule cong :premises (@p8103) :args (@t337)) % 1.31/1.55 (step @p8105 :rule trans :premises (@p8104 @p8102)) % 1.31/1.55 (step @p8106 :rule refl :args (tptp.prop2setI)) % 1.31/1.55 (step @p8107 :rule cong :premises (@p8106 @p8105) :args (@t338)) % 1.31/1.55 (step @p8108 :rule eq_resolve :premises (@p57 @p8107)) % 1.31/1.55 (step @p8109 :rule cong :premises (@p8108 @p8078) :args (@t4709)) % 1.31/1.55 (step @p8110 :rule bool-eq-true :args (tptp.quantDeMorgan4)) % 1.31/1.55 (step @p8111 :rule symm :premises (@p8110)) % 1.31/1.55 (step @p8112 :rule cong :premises (@p8000 @p8004) :args (@t333)) % 1.31/1.55 (step @p8113 :rule cong :premises (@p8112) :args (@t334)) % 1.31/1.55 (step @p8114 :rule trans :premises (@p8113 @p7989)) % 1.31/1.55 (step @p8115 :rule refl :args (tptp.quantDeMorgan4)) % 1.31/1.55 (step @p8116 :rule cong :premises (@p8115 @p8114) :args (@t335)) % 1.31/1.55 (step @p8117 :rule trans :premises (@p8116 @p8110)) % 1.31/1.55 (step @p8118 :rule eq_resolve :premises (@p56 @p8117)) % 1.31/1.55 (step @p8119 :rule eq_resolve :premises (@p8118 @p8111)) % 1.31/1.55 (step @p8120 :rule cong :premises (@p8119 @p8109) :args (@t4710)) % 1.31/1.55 (step @p8121 :rule bool-eq-true :args (tptp.quantDeMorgan3)) % 1.31/1.55 (step @p8122 :rule symm :premises (@p8121)) % 1.31/1.55 (step @p8123 :rule refl :args (tptp.quantDeMorgan3)) % 1.31/1.55 (step @p8124 :rule cong :premises (@p8123 @p8034) :args (@t332)) % 1.31/1.55 (step @p8125 :rule trans :premises (@p8124 @p8121)) % 1.31/1.55 (step @p8126 :rule eq_resolve :premises (@p55 @p8125)) % 1.31/1.55 (step @p8127 :rule eq_resolve :premises (@p8126 @p8122)) % 1.31/1.55 (step @p8128 :rule cong :premises (@p8127 @p8120) :args (@t4711)) % 1.31/1.55 (step @p8129 :rule bool-eq-true :args (tptp.quantDeMorgan2)) % 1.31/1.55 (step @p8130 :rule symm :premises (@p8129)) % 1.31/1.55 (step @p8131 :rule cong :premises (@p8028 @p8031) :args (@t327)) % 1.31/1.55 (step @p8132 :rule cong :premises (@p8131) :args (@t328)) % 1.31/1.55 (step @p8133 :rule trans :premises (@p8132 @p8025)) % 1.31/1.55 (step @p8134 :rule refl :args (tptp.quantDeMorgan2)) % 1.31/1.55 (step @p8135 :rule cong :premises (@p8134 @p8133) :args (@t329)) % 1.31/1.55 (step @p8136 :rule trans :premises (@p8135 @p8129)) % 1.31/1.55 (step @p8137 :rule eq_resolve :premises (@p54 @p8136)) % 1.31/1.55 (step @p8138 :rule eq_resolve :premises (@p8137 @p8130)) % 1.31/1.55 (step @p8139 :rule cong :premises (@p8138 @p8128) :args (@t4712)) % 1.31/1.55 (step @p8140 :rule bool-eq-true :args (tptp.quantDeMorgan1)) % 1.31/1.55 (step @p8141 :rule symm :premises (@p8140)) % 1.31/1.55 (step @p8142 :rule refl :args (tptp.quantDeMorgan1)) % 1.31/1.55 (step @p8143 :rule cong :premises (@p8142 @p8007) :args (@t324)) % 1.31/1.55 (step @p8144 :rule trans :premises (@p8143 @p8140)) % 1.31/1.55 (step @p8145 :rule eq_resolve :premises (@p53 @p8144)) % 1.31/1.55 (step @p8146 :rule eq_resolve :premises (@p8145 @p8141)) % 1.31/1.55 (step @p8147 :rule cong :premises (@p8146 @p8139) :args (@t4713)) % 1.31/1.55 (step @p8148 :rule refl :args (@t2356)) % 1.31/1.55 (step @p8149 :rule refl :args (@t15)) % 1.31/1.55 (step @p8150 :rule cong :premises (@p8149 @p8148) :args ((= @t15 @t2356))) % 1.31/1.55 (step @p8151 :rule symm :premises (@p8150)) % 1.31/1.55 (step @p8152 :rule eq_resolve :premises (@p8149 @p8151)) % 1.31/1.55 (step @p8153 :rule cong :premises (@p8152) :args (@t16)) % 1.31/1.55 (step @p8154 :rule nary_cong :premises (@p8153 @p3915) :args (@t4714)) % 1.31/1.55 (step @p8155 :rule cong :premises (@p8154) :args ((forall @t314 @t4714))) % 1.31/1.55 (step @p8156 :rule bool-impl-elim :args (@t15 @t144)) % 1.31/1.55 (step @p8157 :rule cong :premises (@p8156) :args (@t315)) % 1.31/1.55 (step @p8158 :rule trans :premises (@p8157 @p8155)) % 1.31/1.55 (step @p8159 :rule refl :args (tptp.vacuousDall)) % 1.31/1.55 (step @p8160 :rule cong :premises (@p8159 @p8158) :args (@t316)) % 1.31/1.55 (step @p8161 :rule eq_resolve :premises (@p52 @p8160)) % 1.31/1.55 (step @p8162 :rule cong :premises (@p8161 @p8147) :args (@t4715)) % 1.31/1.55 (step @p8163 :rule aci_norm :args ((= @t4717 @t2364))) % 1.31/1.55 (step @p8164 :rule cong :premises (@p8163) :args (@t4718)) % 1.31/1.55 (step @p8165 :rule quant-merge-prenex :args ((= (forall @t311 @t4720) @t4718))) % 1.31/1.55 (step @p8166 :rule refl :args (@t2363)) % 1.31/1.55 (step @p8167 :rule alpha_equiv :args (@t4721 (@list @t2360) @t2833)) % 1.31/1.55 (step @p8168 :rule nary_cong :premises (@p8167 @p8166) :args (@t4722)) % 1.31/1.55 (step @p8169 :rule quant-miniscope-or :args ((= @t4720 @t4722))) % 1.31/1.55 (step @p8170 :rule trans :premises (@p8169 @p8168)) % 1.31/1.55 (step @p8171 :rule symm :premises (@p8170)) % 1.31/1.55 (step @p8172 :rule cong :premises (@p8171) :args ((forall @t311 (or @t2109 @t2363)))) % 1.31/1.55 (step @p8173 :rule trans :premises (@p8172 @p8165)) % 1.31/1.55 (step @p8174 :rule trans :premises (@p8173 @p8164)) % 1.31/1.55 (step @p8175 :rule cong :premises (@p267 @p3886) :args (@t4723)) % 1.31/1.55 (step @p8176 :rule cong :premises (@p8175) :args (@t4724)) % 1.31/1.55 (step @p8177 :rule nary_cong :premises (@p5292 @p8176) :args (@t4725)) % 1.31/1.55 (step @p8178 :rule cong :premises (@p8177) :args ((forall @t311 @t4725))) % 1.31/1.55 (step @p8179 :rule trans :premises (@p8178 @p8174)) % 1.31/1.55 (step @p8180 :rule cong :premises (@p314 @p3918) :args (@t4726)) % 1.31/1.55 (step @p8181 :rule cong :premises (@p8180) :args (@t4727)) % 1.31/1.55 (step @p8182 :rule nary_cong :premises (@p5297 @p8181) :args (@t4728)) % 1.31/1.55 (step @p8183 :rule cong :premises (@p8182) :args ((forall @t311 @t4728))) % 1.31/1.55 (step @p8184 :rule trans :premises (@p8183 @p8179)) % 1.31/1.55 (step @p8185 :rule refl :args (@t4727)) % 1.31/1.55 (step @p8186 :rule nary_cong :premises (@p5302 @p8185) :args ((or @t4095 @t4727))) % 1.31/1.55 (step @p8187 :rule bool-impl-elim :args (@t2110 @t4727)) % 1.31/1.55 (step @p8188 :rule trans :premises (@p8187 @p8186)) % 1.31/1.55 (step @p8189 :rule cong :premises (@p8188) :args ((forall @t311 (=> @t2110 @t4727)))) % 1.31/1.55 (step @p8190 :rule trans :premises (@p8189 @p8184)) % 1.31/1.55 (step @p8191 :rule eq-symm :args (@t306 tptp.emptyset)) % 1.31/1.55 (step @p8192 :rule cong :premises (@p8191) :args ((not @t307))) % 1.31/1.55 (step @p8193 :rule bool-impl-false1 :args (@t307)) % 1.31/1.55 (step @p8194 :rule trans :premises (@p8193 @p8192)) % 1.31/1.55 (step @p8195 :rule cong :premises (@p5319 @p8194) :args (@t310)) % 1.31/1.55 (step @p8196 :rule cong :premises (@p8195) :args (@t312)) % 1.31/1.55 (step @p8197 :rule trans :premises (@p8196 @p8190)) % 1.31/1.55 (step @p8198 :rule refl :args (tptp.emptyE1)) % 1.31/1.55 (step @p8199 :rule cong :premises (@p8198 @p8197) :args (@t313)) % 1.31/1.55 (step @p8200 :rule eq_resolve :premises (@p51 @p8199)) % 1.31/1.55 (step @p8201 :rule cong :premises (@p8200 @p8162) :args (@t4729)) % 1.31/1.55 (step @p8202 :rule refl :args (tptp.upairsetIR)) % 1.31/1.55 (step @p8203 :rule cong :premises (@p8202 @p6071) :args (@t305)) % 1.31/1.55 (step @p8204 :rule eq_resolve :premises (@p50 @p8203)) % 1.31/1.55 (step @p8205 :rule cong :premises (@p8204 @p8201) :args (@t4730)) % 1.31/1.55 (step @p8206 :rule refl :args ((tptp.in @t4 @t293))) % 1.31/1.55 (step @p8207 :rule cong :premises (@p914 @p2231) :args (@t2369)) % 1.31/1.55 (step @p8208 :rule trans :premises (@p8207 @p8206)) % 1.31/1.55 (step @p8209 :rule ho_cong :premises (@p917 @p2231)) % 1.31/1.55 (step @p8210 :rule cong :premises (@p8209 @p8208) :args ((= (_ @t5 @t2054) @t2369))) % 1.31/1.55 (step @p8211 :rule symm :premises (@p8210)) % 1.31/1.55 (step @p8212 :rule refl :args (@t300)) % 1.31/1.55 (step @p8213 :rule eq_resolve :premises (@p8212 @p8211)) % 1.31/1.55 (step @p8214 :rule ho_cong :premises (@p917 @p2252)) % 1.31/1.55 (step @p8215 :rule trans :premises (@p8214 @p8213)) % 1.31/1.55 (step @p8216 :rule cong :premises (@p8215) :args (@t301)) % 1.31/1.55 (step @p8217 :rule refl :args (tptp.upairsetIL)) % 1.31/1.55 (step @p8218 :rule cong :premises (@p8217 @p8216) :args (@t302)) % 1.31/1.55 (step @p8219 :rule eq_resolve :premises (@p49 @p8218)) % 1.31/1.55 (step @p8220 :rule cong :premises (@p8219 @p8205) :args (@t4731)) % 1.31/1.55 (step @p8221 :rule refl :args (tptp.upairsetE)) % 1.31/1.55 (step @p8222 :rule cong :premises (@p8221 @p5922) :args (@t299)) % 1.31/1.55 (step @p8223 :rule eq_resolve :premises (@p48 @p8222)) % 1.31/1.55 (step @p8224 :rule cong :premises (@p8223 @p8220) :args (@t4732)) % 1.31/1.55 (step @p8225 :rule refl :args ((tptp.in @t19 @t279))) % 1.31/1.55 (step @p8226 :rule cong :premises (@p2323 @p2660) :args (@t2373)) % 1.31/1.55 (step @p8227 :rule trans :premises (@p8226 @p8225)) % 1.31/1.55 (step @p8228 :rule ho_cong :premises (@p2952 @p2660)) % 1.31/1.55 (step @p8229 :rule cong :premises (@p8228 @p8227) :args ((= (_ @t20 @t1799) @t2373))) % 1.31/1.55 (step @p8230 :rule symm :premises (@p8229)) % 1.31/1.55 (step @p8231 :rule refl :args (@t280)) % 1.31/1.55 (step @p8232 :rule eq_resolve :premises (@p8231 @p8230)) % 1.31/1.55 (step @p8233 :rule ho_cong :premises (@p2952 @p2664)) % 1.31/1.55 (step @p8234 :rule trans :premises (@p8233 @p8232)) % 1.31/1.55 (step @p8235 :rule refl :args ((tptp.in @t4 @t275))) % 1.31/1.55 (step @p8236 :rule cong :premises (@p914 @p2229) :args (@t2374)) % 1.31/1.55 (step @p8237 :rule trans :premises (@p8236 @p8235)) % 1.31/1.55 (step @p8238 :rule ho_cong :premises (@p917 @p2229)) % 1.31/1.55 (step @p8239 :rule cong :premises (@p8238 @p8237) :args ((= (_ @t5 @t2053) @t2374))) % 1.31/1.55 (step @p8240 :rule symm :premises (@p8239)) % 1.31/1.55 (step @p8241 :rule refl :args (@t276)) % 1.31/1.55 (step @p8242 :rule eq_resolve :premises (@p8241 @p8240)) % 1.31/1.55 (step @p8243 :rule ho_cong :premises (@p917 @p2250)) % 1.31/1.55 (step @p8244 :rule trans :premises (@p8243 @p8242)) % 1.31/1.55 (step @p8245 :rule cong :premises (@p8244) :args (@t4733)) % 1.31/1.55 (step @p8246 :rule nary_cong :premises (@p8245 @p8234) :args (@t4734)) % 1.31/1.55 (step @p8247 :rule cong :premises (@p8246) :args ((forall @t135 @t4734))) % 1.31/1.55 (step @p8248 :rule bool-impl-elim :args (@t276 @t280)) % 1.31/1.55 (step @p8249 :rule cong :premises (@p8248) :args (@t287)) % 1.31/1.55 (step @p8250 :rule trans :premises (@p8249 @p8247)) % 1.31/1.55 (step @p8251 :rule refl :args (tptp.singletonsswitch)) % 1.31/1.55 (step @p8252 :rule cong :premises (@p8251 @p8250) :args (@t288)) % 1.31/1.55 (step @p8253 :rule eq_resolve :premises (@p47 @p8252)) % 1.31/1.55 (step @p8254 :rule cong :premises (@p8253 @p8224) :args (@t4735)) % 1.31/1.55 (step @p8255 :rule aci_norm :args ((= (or false @t2378) @t2378))) % 1.31/1.55 (step @p8256 :rule refl :args (@t2378)) % 1.31/1.55 (step @p8257 :rule nary_cong :premises (@p5064 @p8256) :args (@t4736)) % 1.31/1.55 (step @p8258 :rule trans :premises (@p8257 @p8255)) % 1.31/1.55 (step @p8259 :rule cong :premises (@p8258) :args ((forall @t70 @t4736))) % 1.31/1.55 (step @p8260 :rule quant-var-elim-eq :args ((= (forall @t9 @t4737) @t4736))) % 1.31/1.55 (step @p8261 :rule aci_norm :args ((= @t4738 @t4737))) % 1.31/1.55 (step @p8262 :rule cong :premises (@p8261) :args (@t4739)) % 1.31/1.55 (step @p8263 :rule trans :premises (@p8262 @p8260)) % 1.31/1.55 (step @p8264 :rule cong :premises (@p8263) :args (@t4740)) % 1.31/1.55 (step @p8265 :rule quant-merge-prenex :args ((= @t4740 @t4741))) % 1.31/1.55 (step @p8266 :rule symm :premises (@p8265)) % 1.31/1.55 (step @p8267 :rule quant_var_reordering :args ((= (forall @t135 @t4738) @t4741))) % 1.31/1.55 (step @p8268 :rule trans :premises (@p8267 @p8266 @p8264)) % 1.31/1.55 (step @p8269 :rule trans :premises (@p8268 @p8259)) % 1.31/1.55 (step @p8270 :rule nary_cong :premises (@p5089 @p8244) :args (@t4742)) % 1.31/1.55 (step @p8271 :rule cong :premises (@p8270) :args ((forall @t135 @t4742))) % 1.31/1.55 (step @p8272 :rule trans :premises (@p8271 @p8269)) % 1.31/1.55 (step @p8273 :rule bool-impl-elim :args (@t129 @t276)) % 1.31/1.55 (step @p8274 :rule cong :premises (@p8273) :args (@t285)) % 1.31/1.55 (step @p8275 :rule trans :premises (@p8274 @p8272)) % 1.31/1.55 (step @p8276 :rule refl :args (tptp.eqinunit)) % 1.31/1.55 (step @p8277 :rule cong :premises (@p8276 @p8275) :args (@t286)) % 1.31/1.55 (step @p8278 :rule eq_resolve :premises (@p46 @p8277)) % 1.31/1.55 (step @p8279 :rule cong :premises (@p8278 @p8254) :args (@t4743)) % 1.31/1.55 (step @p8280 :rule cong :premises (@p8234) :args (@t281)) % 1.31/1.55 (step @p8281 :rule nary_cong :premises (@p3950 @p8280) :args (@t4744)) % 1.31/1.55 (step @p8282 :rule cong :premises (@p8281) :args ((forall @t135 @t4744))) % 1.31/1.55 (step @p8283 :rule refl :args (@t281)) % 1.31/1.55 (step @p8284 :rule bool-double-not-elim :args (@t129)) % 1.31/1.55 (step @p8285 :rule nary_cong :premises (@p8284 @p8283) :args ((or (not @t282) @t281))) % 1.31/1.55 (step @p8286 :rule bool-impl-elim :args (@t282 @t281)) % 1.31/1.55 (step @p8287 :rule trans :premises (@p8286 @p8285)) % 1.31/1.55 (step @p8288 :rule cong :premises (@p8287) :args (@t283)) % 1.31/1.55 (step @p8289 :rule trans :premises (@p8288 @p8282)) % 1.31/1.55 (step @p8290 :rule refl :args (tptp.notinsingleton)) % 1.31/1.55 (step @p8291 :rule cong :premises (@p8290 @p8289) :args (@t284)) % 1.31/1.55 (step @p8292 :rule eq_resolve :premises (@p45 @p8291)) % 1.31/1.55 (step @p8293 :rule cong :premises (@p8292 @p8279) :args (@t4745)) % 1.31/1.55 (step @p8294 :rule nary_cong :premises (@p8245 @p3950) :args (@t4746)) % 1.31/1.55 (step @p8295 :rule cong :premises (@p8294) :args ((forall @t135 @t4746))) % 1.31/1.55 (step @p8296 :rule bool-impl-elim :args (@t276 @t129)) % 1.31/1.55 (step @p8297 :rule cong :premises (@p8296) :args (@t277)) % 1.31/1.55 (step @p8298 :rule trans :premises (@p8297 @p8295)) % 1.31/1.55 (step @p8299 :rule refl :args (tptp.uniqinunit)) % 1.31/1.55 (step @p8300 :rule cong :premises (@p8299 @p8298) :args (@t278)) % 1.31/1.55 (step @p8301 :rule eq_resolve :premises (@p44 @p8300)) % 1.31/1.55 (step @p8302 :rule cong :premises (@p8301 @p8293) :args (@t4747)) % 1.31/1.55 (step @p8303 :rule refl :args (@t2386)) % 1.31/1.55 (step @p8304 :rule bool-double-not-elim :args (@t196)) % 1.31/1.55 (step @p8305 :rule nary_cong :premises (@p8304 @p8303) :args ((or (not @t4748) @t2386))) % 1.31/1.55 (step @p8306 :rule bool-impl-elim :args (@t4748 @t2386)) % 1.31/1.55 (step @p8307 :rule trans :premises (@p8306 @p8305)) % 1.31/1.55 (step @p8308 :rule cong :premises (@p8307) :args ((forall @t64 (=> @t4748 @t2386)))) % 1.31/1.55 (step @p8309 :rule cong :premises (@p936) :args (@t198)) % 1.31/1.55 (step @p8310 :rule cong :premises (@p8309) :args (@t4749)) % 1.31/1.55 (step @p8311 :rule exists-elim :args ((= @t89 @t4749))) % 1.31/1.55 (step @p8312 :rule trans :premises (@p8311 @p8310)) % 1.31/1.55 (step @p8313 :rule aci_norm :args ((= @t269 @t7))) % 1.31/1.55 (step @p8314 :rule cong :premises (@p8313) :args (@t270)) % 1.31/1.55 (step @p8315 :rule trans :premises (@p8314 @p8312)) % 1.31/1.55 (step @p8316 :rule beta-reduce :args ((= @t4750 @t4748))) % 1.31/1.55 (step @p8317 :rule cong :premises (@p8316 @p8315) :args (@t4751)) % 1.31/1.55 (step @p8318 :rule cong :premises (@p8317) :args (@t4752)) % 1.31/1.55 (step @p8319 :rule trans :premises (@p8318 @p8308)) % 1.31/1.55 (step @p8320 :rule refl :args (tptp.nonemptyImpWitness)) % 1.31/1.55 (step @p8321 :rule cong :premises (@p8320 @p8319) :args ((= tptp.nonemptyImpWitness @t4752))) % 1.31/1.55 (step @p8322 :rule refl :args (@t270)) % 1.31/1.55 (step @p8323 :rule ho_cong :premises (@p258 @p2535)) % 1.31/1.55 (step @p8324 :rule cong :premises (@p8323 @p8322) :args (@t271)) % 1.31/1.55 (step @p8325 :rule cong :premises (@p8324) :args (@t272)) % 1.31/1.55 (step @p8326 :rule cong :premises (@p8320 @p8325) :args (@t273)) % 1.31/1.55 (step @p8327 :rule trans :premises (@p8326 @p8321)) % 1.31/1.55 (step @p8328 :rule eq_resolve :premises (@p43 @p8327)) % 1.31/1.55 (step @p8329 :rule cong :premises (@p8328 @p8302) :args (@t4753)) % 1.31/1.55 (step @p8330 :rule eq-symm :args (@t2389 @t19)) % 1.31/1.55 (step @p8331 :rule nary_cong :premises (@p7334 @p8330) :args (@t4754)) % 1.31/1.55 (step @p8332 :rule cong :premises (@p8331) :args (@t4755)) % 1.31/1.55 (step @p8333 :rule cong :premises (@p8332) :args (@t4756)) % 1.31/1.55 (step @p8334 :rule refl :args (@t2390)) % 1.31/1.55 (step @p8335 :rule refl :args (@t2393)) % 1.31/1.55 (step @p8336 :rule nary_cong :premises (@p8335 @p8334 @p8333) :args (@t4757)) % 1.31/1.55 (step @p8337 :rule aci_norm :args ((= @t4759 @t4757))) % 1.31/1.55 (step @p8338 :rule trans :premises (@p8337 @p8336)) % 1.31/1.55 (step @p8339 :rule cong :premises (@p8338) :args (@t4760)) % 1.31/1.55 (step @p8340 :rule quant-merge-prenex :args ((= (forall @t150 @t4762) @t4760))) % 1.31/1.55 (step @p8341 :rule refl :args (@t2393)) % 1.31/1.55 (step @p8342 :rule alpha_equiv :args (@t4763 (@list @t2389) @t2833)) % 1.31/1.55 (step @p8343 :rule nary_cong :premises (@p8342 @p8341) :args (@t4764)) % 1.31/1.55 (step @p8344 :rule quant-miniscope-or :args ((= @t4762 @t4764))) % 1.31/1.55 (step @p8345 :rule trans :premises (@p8344 @p8343)) % 1.31/1.55 (step @p8346 :rule symm :premises (@p8345)) % 1.31/1.55 (step @p8347 :rule cong :premises (@p8346) :args ((forall @t150 (or @t2337 @t2393)))) % 1.31/1.55 (step @p8348 :rule trans :premises (@p8347 @p8340)) % 1.31/1.55 (step @p8349 :rule trans :premises (@p8348 @p8339)) % 1.31/1.55 (step @p8350 :rule nary_cong :premises (@p7402 @p8341) :args ((or @t4492 @t2393))) % 1.31/1.55 (step @p8351 :rule bool-impl-elim :args (@t2338 @t2393)) % 1.31/1.55 (step @p8352 :rule trans :premises (@p8351 @p8350)) % 1.31/1.55 (step @p8353 :rule cong :premises (@p8352) :args ((forall @t150 (=> @t2338 @t2393)))) % 1.31/1.55 (step @p8354 :rule trans :premises (@p8353 @p8349)) % 1.31/1.55 (step @p8355 :rule cong :premises (@p7454 @p7897) :args (@t4765)) % 1.31/1.55 (step @p8356 :rule cong :premises (@p8355) :args (@t4766)) % 1.31/1.55 (step @p8357 :rule trans :premises (@p8356 @p8354)) % 1.31/1.55 (step @p8358 :rule refl :args (tptp.exuE2)) % 1.31/1.55 (step @p8359 :rule cong :premises (@p8358 @p8357) :args ((= tptp.exuE2 @t4766))) % 1.31/1.55 (step @p8360 :rule cong :premises (@p7497 @p7903) :args (@t266)) % 1.31/1.55 (step @p8361 :rule cong :premises (@p8360) :args (@t267)) % 1.31/1.55 (step @p8362 :rule cong :premises (@p8358 @p8361) :args (@t268)) % 1.31/1.55 (step @p8363 :rule trans :premises (@p8362 @p8359)) % 1.31/1.55 (step @p8364 :rule eq_resolve :premises (@p42 @p8363)) % 1.31/1.55 (step @p8365 :rule cong :premises (@p8364 @p8329) :args (@t4767)) % 1.31/1.55 (step @p8366 :rule refl :args ((tptp.in @t4 @t259))) % 1.31/1.55 (step @p8367 :rule refl :args ((tptp.powerset @t43))) % 1.31/1.55 (step @p8368 :rule cong :premises (@p5532) :args (@t2397)) % 1.31/1.55 (step @p8369 :rule trans :premises (@p8368 @p8367)) % 1.31/1.55 (step @p8370 :rule cong :premises (@p914 @p8369) :args (@t2398)) % 1.31/1.55 (step @p8371 :rule trans :premises (@p8370 @p8366)) % 1.31/1.55 (step @p8372 :rule ho_cong :premises (@p917 @p8369)) % 1.31/1.55 (step @p8373 :rule cong :premises (@p8372 @p8371) :args ((= (_ @t5 @t2397) @t2398))) % 1.31/1.55 (step @p8374 :rule symm :premises (@p8373)) % 1.31/1.55 (step @p8375 :rule refl :args (@t260)) % 1.31/1.55 (step @p8376 :rule eq_resolve :premises (@p8375 @p8374)) % 1.31/1.55 (step @p8377 :rule ho_cong :premises (@p997 @p5532)) % 1.31/1.55 (step @p8378 :rule cong :premises (@p8377 @p8369) :args ((= (_ tptp.powerset @t2122) @t2397))) % 1.31/1.55 (step @p8379 :rule symm :premises (@p8378)) % 1.31/1.55 (step @p8380 :rule refl :args (@t259)) % 1.31/1.55 (step @p8381 :rule eq_resolve :premises (@p8380 @p8379)) % 1.31/1.55 (step @p8382 :rule ho_cong :premises (@p997 @p5543)) % 1.31/1.55 (step @p8383 :rule trans :premises (@p8382 @p8381)) % 1.31/1.55 (step @p8384 :rule ho_cong :premises (@p917 @p8383)) % 1.31/1.55 (step @p8385 :rule trans :premises (@p8384 @p8376)) % 1.31/1.55 (step @p8386 :rule nary_cong :premises (@p936 @p8385) :args (@t4768)) % 1.31/1.55 (step @p8387 :rule cong :premises (@p8386) :args ((forall @t46 @t4768))) % 1.31/1.55 (step @p8388 :rule bool-impl-elim :args (@t7 @t260)) % 1.31/1.55 (step @p8389 :rule cong :premises (@p8388) :args (@t261)) % 1.31/1.55 (step @p8390 :rule trans :premises (@p8389 @p8387)) % 1.31/1.55 (step @p8391 :rule refl :args (tptp.subPowSU)) % 1.31/1.55 (step @p8392 :rule cong :premises (@p8391 @p8390) :args (@t262)) % 1.31/1.55 (step @p8393 :rule eq_resolve :premises (@p41 @p8392)) % 1.31/1.55 (step @p8394 :rule cong :premises (@p8393 @p8365) :args (@t4769)) % 1.31/1.55 (step @p8395 :rule refl :args (@t2404)) % 1.31/1.55 (step @p8396 :rule nary_cong :premises (@p5546 @p8395) :args (@t4770)) % 1.31/1.55 (step @p8397 :rule cong :premises (@p8396) :args ((forall @t46 @t4770))) % 1.31/1.55 (step @p8398 :rule bool-impl-elim :args (@t44 @t2404)) % 1.31/1.55 (step @p8399 :rule cong :premises (@p8398) :args ((forall @t46 (=> @t44 @t2404)))) % 1.31/1.55 (step @p8400 :rule trans :premises (@p8399 @p8397)) % 1.31/1.55 (step @p8401 :rule aci_norm :args ((= (and true @t2404) @t2404))) % 1.31/1.55 (step @p8402 :rule refl :args (@t2404)) % 1.31/1.55 (step @p8403 :rule nary_cong :premises (@p2797 @p8402) :args (@t4771)) % 1.31/1.55 (step @p8404 :rule trans :premises (@p8403 @p8401)) % 1.31/1.55 (step @p8405 :rule aci_norm :args ((= @t4772 @t4771))) % 1.31/1.55 (step @p8406 :rule trans :premises (@p8405 @p8404)) % 1.31/1.55 (step @p8407 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t4773 @t173)) @t4772))) % 1.31/1.55 (step @p8408 :rule refl :args (@t4773)) % 1.31/1.55 (step @p8409 :rule nary_cong :premises (@p2290 @p8408 @p2284) :args (@t4774)) % 1.31/1.55 (step @p8410 :rule aci_norm :args ((= @t4775 @t4774))) % 1.31/1.55 (step @p8411 :rule trans :premises (@p8410 @p8409)) % 1.31/1.55 (step @p8412 :rule cong :premises (@p8411) :args ((forall @t179 @t4775))) % 1.31/1.55 (step @p8413 :rule trans :premises (@p8412 @p8407)) % 1.31/1.55 (step @p8414 :rule trans :premises (@p8413 @p8406)) % 1.31/1.55 (step @p8415 :rule bool-or-de-morgan :args (@t173 @t2403 false)) % 1.31/1.55 (step @p8416 :rule nary_cong :premises (@p8415 @p2284) :args ((or (not @t4776) @t173))) % 1.31/1.55 (step @p8417 :rule bool-impl-elim :args (@t4776 @t173)) % 1.31/1.55 (step @p8418 :rule trans :premises (@p8417 @p8416)) % 1.31/1.55 (step @p8419 :rule cong :premises (@p8418) :args ((forall @t179 (=> @t4776 @t173)))) % 1.31/1.55 (step @p8420 :rule trans :premises (@p8419 @p8414)) % 1.31/1.55 (step @p8421 :rule refl :args (@t2401)) % 1.31/1.55 (step @p8422 :rule refl :args (@t39)) % 1.31/1.55 (step @p8423 :rule cong :premises (@p8422 @p8421) :args ((= @t39 @t2401))) % 1.31/1.55 (step @p8424 :rule symm :premises (@p8423)) % 1.31/1.55 (step @p8425 :rule eq_resolve :premises (@p8422 @p8424)) % 1.31/1.55 (step @p8426 :rule cong :premises (@p8425) :args (@t4777)) % 1.31/1.55 (step @p8427 :rule nary_cong :premises (@p6121 @p8426) :args (@t4778)) % 1.31/1.55 (step @p8428 :rule cong :premises (@p8427) :args (@t4779)) % 1.31/1.55 (step @p8429 :rule nary_cong :premises (@p2327 @p8428) :args (@t4780)) % 1.31/1.55 (step @p8430 :rule quant-miniscope-or :args ((= (forall @t41 @t4781) @t4780))) % 1.31/1.55 (step @p8431 :rule aci_norm :args ((= @t4782 @t4781))) % 1.31/1.55 (step @p8432 :rule cong :premises (@p8431) :args ((forall @t41 @t4782))) % 1.31/1.55 (step @p8433 :rule trans :premises (@p8432 @p8430)) % 1.31/1.55 (step @p8434 :rule trans :premises (@p8433 @p8429)) % 1.31/1.55 (step @p8435 :rule aci_norm :args ((= (or @t437 (or @t4777 @t173)) @t4782))) % 1.31/1.55 (step @p8436 :rule bool-impl-elim :args (@t39 @t173)) % 1.31/1.55 (step @p8437 :rule refl :args (@t437)) % 1.31/1.55 (step @p8438 :rule nary_cong :premises (@p8437 @p8436) :args ((or @t437 @t252))) % 1.31/1.55 (step @p8439 :rule trans :premises (@p8438 @p8435)) % 1.31/1.55 (step @p8440 :rule bool-impl-elim :args (@t6 @t252)) % 1.31/1.55 (step @p8441 :rule trans :premises (@p8440 @p8439)) % 1.31/1.55 (step @p8442 :rule cong :premises (@p8441) :args (@t253)) % 1.31/1.55 (step @p8443 :rule trans :premises (@p8442 @p8434)) % 1.31/1.55 (step @p8444 :rule cong :premises (@p8443 @p2327) :args (@t254)) % 1.31/1.55 (step @p8445 :rule cong :premises (@p8444) :args (@t255)) % 1.31/1.55 (step @p8446 :rule trans :premises (@p8445 @p8420)) % 1.31/1.55 (step @p8447 :rule cong :premises (@p5566 @p8446) :args (@t256)) % 1.31/1.55 (step @p8448 :rule cong :premises (@p8447) :args (@t257)) % 1.31/1.55 (step @p8449 :rule trans :premises (@p8448 @p8400)) % 1.31/1.55 (step @p8450 :rule refl :args (tptp.setunionE)) % 1.31/1.55 (step @p8451 :rule cong :premises (@p8450 @p8449) :args (@t258)) % 1.31/1.55 (step @p8452 :rule eq_resolve :premises (@p40 @p8451)) % 1.31/1.55 (step @p8453 :rule cong :premises (@p8452 @p8394) :args (@t4783)) % 1.31/1.55 (step @p8454 :rule nary_cong :premises (@p6121 @p8426 @p5545) :args (@t4784)) % 1.31/1.55 (step @p8455 :rule cong :premises (@p8454) :args ((forall @t249 @t4784))) % 1.31/1.55 (step @p8456 :rule aci_norm :args ((= (or @t437 (or @t4777 @t44)) @t4784))) % 1.31/1.55 (step @p8457 :rule bool-impl-elim :args (@t39 @t44)) % 1.31/1.55 (step @p8458 :rule nary_cong :premises (@p8437 @p8457) :args ((or @t437 @t248))) % 1.31/1.55 (step @p8459 :rule trans :premises (@p8458 @p8456)) % 1.31/1.55 (step @p8460 :rule bool-impl-elim :args (@t6 @t248)) % 1.31/1.55 (step @p8461 :rule trans :premises (@p8460 @p8459)) % 1.31/1.55 (step @p8462 :rule cong :premises (@p8461) :args (@t250)) % 1.31/1.55 (step @p8463 :rule trans :premises (@p8462 @p8455)) % 1.31/1.55 (step @p8464 :rule refl :args (tptp.setunionI)) % 1.31/1.55 (step @p8465 :rule cong :premises (@p8464 @p8463) :args (@t251)) % 1.31/1.55 (step @p8466 :rule eq_resolve :premises (@p39 @p8465)) % 1.31/1.55 (step @p8467 :rule cong :premises (@p8466 @p8453) :args (@t4785)) % 1.31/1.55 (step @p8468 :rule nary_cong :premises (@p6862 @p6121 @p935) :args (@t4786)) % 1.31/1.55 (step @p8469 :rule cong :premises (@p8468) :args ((forall @t245 @t4786))) % 1.31/1.55 (step @p8470 :rule aci_norm :args ((= (or @t4368 @t4787) @t4786))) % 1.31/1.55 (step @p8471 :rule bool-impl-elim :args (@t6 @t7)) % 1.31/1.55 (step @p8472 :rule refl :args (@t4368)) % 1.31/1.55 (step @p8473 :rule nary_cong :premises (@p8472 @p8471) :args ((or @t4368 @t31))) % 1.31/1.55 (step @p8474 :rule trans :premises (@p8473 @p8470)) % 1.31/1.55 (step @p8475 :rule bool-impl-elim :args (@t35 @t31)) % 1.31/1.55 (step @p8476 :rule trans :premises (@p8475 @p8474)) % 1.31/1.55 (step @p8477 :rule cong :premises (@p8476) :args (@t246)) % 1.31/1.55 (step @p8478 :rule trans :premises (@p8477 @p8469)) % 1.31/1.55 (step @p8479 :rule refl :args (tptp.powersetE)) % 1.31/1.55 (step @p8480 :rule cong :premises (@p8479 @p8478) :args (@t247)) % 1.31/1.55 (step @p8481 :rule eq_resolve :premises (@p38 @p8480)) % 1.31/1.55 (step @p8482 :rule cong :premises (@p8481 @p8467) :args (@t4788)) % 1.31/1.55 (step @p8483 :rule eq-symm :args (@t2412 tptp.emptyInPowerset)) % 1.31/1.55 (step @p8484 :rule refl :args (tptp.emptyInPowerset)) % 1.31/1.55 (step @p8485 :rule refl :args ((tptp.in tptp.emptyset @t33))) % 1.31/1.55 (step @p8486 :rule cong :premises (@p314 @p782) :args (@t2411)) % 1.31/1.55 (step @p8487 :rule trans :premises (@p8486 @p8485)) % 1.31/1.55 (step @p8488 :rule ho_cong :premises (@p317 @p782)) % 1.31/1.55 (step @p8489 :rule cong :premises (@p8488 @p8487) :args ((= (_ @t49 @t1594) @t2411))) % 1.31/1.55 (step @p8490 :rule symm :premises (@p8489)) % 1.31/1.55 (step @p8491 :rule refl :args (@t242)) % 1.31/1.55 (step @p8492 :rule eq_resolve :premises (@p8491 @p8490)) % 1.31/1.55 (step @p8493 :rule ho_cong :premises (@p317 @p795)) % 1.31/1.55 (step @p8494 :rule trans :premises (@p8493 @p8492)) % 1.31/1.55 (step @p8495 :rule cong :premises (@p8494) :args (@t243)) % 1.31/1.55 (step @p8496 :rule cong :premises (@p8495 @p8484) :args ((= @t243 tptp.emptyInPowerset))) % 1.31/1.55 (step @p8497 :rule trans :premises (@p8496 @p8483)) % 1.31/1.55 (step @p8498 :rule eq-symm :args (tptp.emptyInPowerset @t243)) % 1.31/1.55 (step @p8499 :rule trans :premises (@p8498 @p8497)) % 1.31/1.55 (step @p8500 :rule eq_resolve :premises (@p37 @p8499)) % 1.31/1.55 (step @p8501 :rule cong :premises (@p8500 @p8482) :args (@t4789)) % 1.31/1.55 (step @p8502 :rule refl :args (tptp.emptyinPowerset)) % 1.31/1.55 (step @p8503 :rule cong :premises (@p8502 @p8495) :args (@t244)) % 1.31/1.55 (step @p8504 :rule eq_resolve :premises (@p36 @p8503)) % 1.31/1.55 (step @p8505 :rule cong :premises (@p8504 @p8501) :args (@t4790)) % 1.31/1.55 (step @p8506 :rule refl :args (@t2416)) % 1.31/1.55 (step @p8507 :rule nary_cong :premises (@p8506 @p6861) :args (@t4791)) % 1.31/1.55 (step @p8508 :rule cong :premises (@p8507) :args ((forall @t12 @t4791))) % 1.31/1.55 (step @p8509 :rule bool-impl-elim :args (@t2415 @t35)) % 1.31/1.55 (step @p8510 :rule cong :premises (@p8509) :args ((forall @t12 (=> @t2415 @t35)))) % 1.31/1.55 (step @p8511 :rule trans :premises (@p8510 @p8508)) % 1.31/1.55 (step @p8512 :rule refl :args (@t35)) % 1.31/1.55 (step @p8513 :rule nary_cong :premises (@p6121 @p935) :args (@t4787)) % 1.31/1.55 (step @p8514 :rule cong :premises (@p8513) :args ((forall @t9 @t4787))) % 1.31/1.55 (step @p8515 :rule cong :premises (@p8471) :args (@t32)) % 1.31/1.55 (step @p8516 :rule trans :premises (@p8515 @p8514)) % 1.31/1.55 (step @p8517 :rule cong :premises (@p8516 @p8512) :args (@t239)) % 1.31/1.55 (step @p8518 :rule cong :premises (@p8517) :args (@t240)) % 1.31/1.55 (step @p8519 :rule trans :premises (@p8518 @p8511)) % 1.31/1.55 (step @p8520 :rule refl :args (tptp.powersetI)) % 1.31/1.55 (step @p8521 :rule cong :premises (@p8520 @p8519) :args (@t241)) % 1.31/1.55 (step @p8522 :rule eq_resolve :premises (@p35 @p8521)) % 1.31/1.55 (step @p8523 :rule cong :premises (@p8522 @p8505) :args (@t4792)) % 1.31/1.55 (step @p8524 :rule refl :args (@t2421)) % 1.31/1.55 (step @p8525 :rule refl :args (@t2420)) % 1.31/1.55 (step @p8526 :rule cong :premises (@p983 @p8525) :args (@t2421)) % 1.31/1.55 (step @p8527 :rule trans :premises (@p8526 @p8524)) % 1.31/1.55 (step @p8528 :rule ho_cong :premises (@p3906 @p8525)) % 1.31/1.55 (step @p8529 :rule cong :premises (@p8528 @p8527) :args ((= @t4793 @t2421))) % 1.31/1.55 (step @p8530 :rule symm :premises (@p8529)) % 1.31/1.55 (step @p8531 :rule refl :args ((_ @t155 @t2420))) % 1.31/1.55 (step @p8532 :rule eq_resolve :premises (@p8531 @p8530)) % 1.31/1.55 (step @p8533 :rule cong :premises (@p983 @p8532) :args (@t4794)) % 1.31/1.55 (step @p8534 :rule cong :premises (@p8533) :args ((forall @t64 @t4794))) % 1.31/1.55 (step @p8535 :rule eq-symm :args (@t4793 @t2)) % 1.31/1.55 (step @p8536 :rule symm :premises (@p8525)) % 1.31/1.55 (step @p8537 :rule alpha_equiv :args (@t235 @t2833 (@list @t2419))) % 1.31/1.55 (step @p8538 :rule trans :premises (@p8537 @p8536)) % 1.31/1.55 (step @p8539 :rule ho_cong :premises (@p2586 @p8538)) % 1.31/1.55 (step @p8540 :rule cong :premises (@p8539 @p2535) :args (@t236)) % 1.31/1.55 (step @p8541 :rule trans :premises (@p8540 @p8535)) % 1.31/1.55 (step @p8542 :rule cong :premises (@p8541) :args (@t237)) % 1.31/1.55 (step @p8543 :rule trans :premises (@p8542 @p8534)) % 1.31/1.55 (step @p8544 :rule refl :args (tptp.setoftrueEq)) % 1.31/1.55 (step @p8545 :rule cong :premises (@p8544 @p8543) :args (@t238)) % 1.31/1.55 (step @p8546 :rule eq_resolve :premises (@p34 @p8545)) % 1.31/1.55 (step @p8547 :rule cong :premises (@p8546 @p8523) :args (@t4795)) % 1.31/1.55 (step @p8548 :rule refl :args ((tptp.in @t19 @t25))) % 1.31/1.55 (step @p8549 :rule cong :premises (@p2323 @p6957) :args (@t2424)) % 1.31/1.55 (step @p8550 :rule trans :premises (@p8549 @p8548)) % 1.31/1.55 (step @p8551 :rule ho_cong :premises (@p2952 @p6957)) % 1.31/1.55 (step @p8552 :rule cong :premises (@p8551 @p8550) :args ((= (_ @t20 @t2280) @t2424))) % 1.31/1.55 (step @p8553 :rule symm :premises (@p8552)) % 1.31/1.55 (step @p8554 :rule refl :args (@t26)) % 1.31/1.55 (step @p8555 :rule eq_resolve :premises (@p8554 @p8553)) % 1.31/1.55 (step @p8556 :rule ho_cong :premises (@p2952 @p6968)) % 1.31/1.55 (step @p8557 :rule trans :premises (@p8556 @p8555)) % 1.31/1.55 (step @p8558 :rule cong :premises (@p8557) :args (@t4796)) % 1.31/1.55 (step @p8559 :rule nary_cong :premises (@p8558 @p3950 @p2264) :args (@t4797)) % 1.31/1.55 (step @p8560 :rule cong :premises (@p8559) :args ((forall @t28 @t4797))) % 1.31/1.55 (step @p8561 :rule aci_norm :args ((= (or @t4796 @t4798) @t4797))) % 1.31/1.55 (step @p8562 :rule bool-impl-elim :args (@t26 @t4798)) % 1.31/1.55 (step @p8563 :rule trans :premises (@p8562 @p8561)) % 1.31/1.55 (step @p8564 :rule cong :premises (@p8563) :args ((forall @t28 (=> @t26 @t4798)))) % 1.31/1.55 (step @p8565 :rule trans :premises (@p8564 @p8560)) % 1.31/1.55 (step @p8566 :rule nary_cong :premises (@p5409 @p2349) :args (@t23)) % 1.31/1.55 (step @p8567 :rule refl :args (@t26)) % 1.31/1.55 (step @p8568 :rule cong :premises (@p8567 @p8566) :args (@t232)) % 1.31/1.55 (step @p8569 :rule cong :premises (@p8568) :args (@t233)) % 1.31/1.55 (step @p8570 :rule trans :premises (@p8569 @p8565)) % 1.31/1.55 (step @p8571 :rule refl :args (tptp.setadjoinOr)) % 1.31/1.55 (step @p8572 :rule cong :premises (@p8571 @p8570) :args (@t234)) % 1.31/1.55 (step @p8573 :rule eq_resolve :premises (@p33 @p8572)) % 1.31/1.55 (step @p8574 :rule cong :premises (@p8573 @p8547) :args (@t4799)) % 1.31/1.55 (step @p8575 :rule refl :args (@t2104)) % 1.31/1.55 (step @p8576 :rule nary_cong :premises (@p8558 @p3950 @p8575) :args (@t4800)) % 1.31/1.55 (step @p8577 :rule cong :premises (@p8576) :args ((forall @t28 @t4800))) % 1.31/1.55 (step @p8578 :rule aci_norm :args ((= (or @t4796 @t2579) @t4800))) % 1.31/1.55 (step @p8579 :rule bool-impl-elim :args (@t26 @t2579)) % 1.31/1.55 (step @p8580 :rule trans :premises (@p8579 @p8578)) % 1.31/1.55 (step @p8581 :rule cong :premises (@p8580) :args ((forall @t28 (=> @t26 @t2579)))) % 1.31/1.55 (step @p8582 :rule trans :premises (@p8581 @p8577)) % 1.31/1.55 (step @p8583 :rule aci_norm :args ((= (and @t2104 true) @t2104))) % 1.31/1.55 (step @p8584 :rule refl :args (@t2104)) % 1.31/1.55 (step @p8585 :rule nary_cong :premises (@p8584 @p2797) :args (@t4801)) % 1.31/1.55 (step @p8586 :rule trans :premises (@p8585 @p8583)) % 1.31/1.55 (step @p8587 :rule aci_norm :args ((= (and @t129 true) @t129))) % 1.31/1.55 (step @p8588 :rule nary_cong :premises (@p5123 @p2797) :args (@t4802)) % 1.31/1.55 (step @p8589 :rule trans :premises (@p8588 @p8587)) % 1.31/1.55 (step @p8590 :rule nary_cong :premises (@p8589 @p8586) :args (@t4803)) % 1.31/1.55 (step @p8591 :rule aci_norm :args ((= @t4804 @t4803))) % 1.31/1.55 (step @p8592 :rule trans :premises (@p8591 @p8590)) % 1.31/1.55 (step @p8593 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t4806 @t4805 @t173)) @t4804))) % 1.31/1.55 (step @p8594 :rule refl :args (@t4805)) % 1.31/1.55 (step @p8595 :rule refl :args (@t4806)) % 1.31/1.55 (step @p8596 :rule nary_cong :premises (@p2290 @p8595 @p8594 @p2284) :args (@t4807)) % 1.31/1.55 (step @p8597 :rule aci_norm :args ((= @t4808 @t4807))) % 1.31/1.55 (step @p8598 :rule trans :premises (@p8597 @p8596)) % 1.31/1.55 (step @p8599 :rule cong :premises (@p8598) :args ((forall @t179 @t4808))) % 1.31/1.55 (step @p8600 :rule trans :premises (@p8599 @p8593)) % 1.31/1.55 (step @p8601 :rule trans :premises (@p8600 @p8592)) % 1.31/1.55 (step @p8602 :rule nary_cong :premises (@p2264 @p2371) :args (@t4809)) % 1.31/1.55 (step @p8603 :rule nary_cong :premises (@p8595 @p8602 @p2284) :args (@t4810)) % 1.31/1.55 (step @p8604 :rule cong :premises (@p8603) :args ((forall @t179 @t4810))) % 1.31/1.55 (step @p8605 :rule trans :premises (@p8604 @p8601)) % 1.31/1.55 (step @p8606 :rule aci_norm :args ((= (or @t4806 (or @t4809 @t173)) @t4810))) % 1.31/1.55 (step @p8607 :rule bool-implies-de-morgan :args (@t21 @t173)) % 1.31/1.55 (step @p8608 :rule nary_cong :premises (@p8607 @p2284) :args ((or (not @t224) @t173))) % 1.31/1.55 (step @p8609 :rule bool-impl-elim :args (@t224 @t173)) % 1.31/1.55 (step @p8610 :rule trans :premises (@p8609 @p8608)) % 1.31/1.55 (step @p8611 :rule bool-implies-de-morgan :args (@t129 @t173)) % 1.31/1.55 (step @p8612 :rule nary_cong :premises (@p8611 @p8610) :args ((or (not @t4811) @t225))) % 1.31/1.55 (step @p8613 :rule trans :premises (@p8612 @p8606)) % 1.31/1.55 (step @p8614 :rule bool-impl-elim :args (@t4811 @t225)) % 1.31/1.55 (step @p8615 :rule trans :premises (@p8614 @p8613)) % 1.31/1.55 (step @p8616 :rule cong :premises (@p8615) :args ((forall @t179 (=> @t4811 @t225)))) % 1.31/1.55 (step @p8617 :rule trans :premises (@p8616 @p8605)) % 1.31/1.55 (step @p8618 :rule refl :args (@t225)) % 1.31/1.55 (step @p8619 :rule cong :premises (@p5409 @p2327) :args (@t226)) % 1.31/1.55 (step @p8620 :rule cong :premises (@p8619 @p8618) :args (@t227)) % 1.31/1.55 (step @p8621 :rule cong :premises (@p8620) :args (@t228)) % 1.31/1.55 (step @p8622 :rule trans :premises (@p8621 @p8617)) % 1.31/1.55 (step @p8623 :rule cong :premises (@p8567 @p8622) :args (@t229)) % 1.31/1.55 (step @p8624 :rule cong :premises (@p8623) :args (@t230)) % 1.31/1.55 (step @p8625 :rule trans :premises (@p8624 @p8582)) % 1.31/1.55 (step @p8626 :rule refl :args (tptp.setadjoinE)) % 1.31/1.55 (step @p8627 :rule cong :premises (@p8626 @p8625) :args (@t231)) % 1.31/1.55 (step @p8628 :rule eq_resolve :premises (@p32 @p8627)) % 1.31/1.55 (step @p8629 :rule cong :premises (@p8628 @p8574) :args (@t4812)) % 1.31/1.55 (step @p8630 :rule nary_cong :premises (@p2265 @p8557) :args (@t4813)) % 1.31/1.55 (step @p8631 :rule cong :premises (@p8630) :args ((forall @t28 @t4813))) % 1.31/1.55 (step @p8632 :rule bool-impl-elim :args (@t21 @t26)) % 1.31/1.55 (step @p8633 :rule cong :premises (@p8632) :args (@t222)) % 1.31/1.55 (step @p8634 :rule trans :premises (@p8633 @p8631)) % 1.31/1.55 (step @p8635 :rule refl :args (tptp.setadjoinIR)) % 1.31/1.55 (step @p8636 :rule cong :premises (@p8635 @p8634) :args (@t223)) % 1.31/1.55 (step @p8637 :rule eq_resolve :premises (@p31 @p8636)) % 1.31/1.55 (step @p8638 :rule cong :premises (@p8637 @p8629) :args (@t4814)) % 1.31/1.55 (step @p8639 :rule cong :premises (@p30 @p8638) :args (@t4815)) % 1.31/1.55 (step @p8640 :rule refl :args ((tptp.in @t4 @t216))) % 1.31/1.55 (step @p8641 :rule refl :args (@t2433)) % 1.31/1.55 (step @p8642 :rule cong :premises (@p914 @p8641) :args (@t2434)) % 1.31/1.55 (step @p8643 :rule trans :premises (@p8642 @p8640)) % 1.31/1.55 (step @p8644 :rule ho_cong :premises (@p917 @p8641)) % 1.31/1.55 (step @p8645 :rule cong :premises (@p8644 @p8643) :args ((= (_ @t5 @t2433) @t2434))) % 1.31/1.55 (step @p8646 :rule symm :premises (@p8645)) % 1.31/1.55 (step @p8647 :rule refl :args (@t217)) % 1.31/1.55 (step @p8648 :rule eq_resolve :premises (@p8647 @p8646)) % 1.31/1.55 (step @p8649 :rule refl :args (@t216)) % 1.31/1.55 (step @p8650 :rule cong :premises (@p8649 @p8641) :args ((= @t216 @t2433))) % 1.31/1.55 (step @p8651 :rule symm :premises (@p8650)) % 1.31/1.55 (step @p8652 :rule eq_resolve :premises (@p8649 @p8651)) % 1.31/1.55 (step @p8653 :rule ho_cong :premises (@p917 @p8652)) % 1.31/1.55 (step @p8654 :rule trans :premises (@p8653 @p8648)) % 1.31/1.55 (step @p8655 :rule cong :premises (@p8654) :args (@t218)) % 1.31/1.55 (step @p8656 :rule refl :args (tptp.setadjoinIL)) % 1.31/1.55 (step @p8657 :rule cong :premises (@p8656 @p8655) :args (@t219)) % 1.31/1.55 (step @p8658 :rule eq_resolve :premises (@p29 @p8657)) % 1.31/1.55 (step @p8659 :rule cong :premises (@p8658 @p8639) :args (@t4816)) % 1.31/1.55 (step @p8660 :rule aci_norm :args ((= (or @t2438 false) @t2438))) % 1.31/1.55 (step @p8661 :rule cong :premises (@p7699) :args (@t4817)) % 1.31/1.55 (step @p8662 :rule trans :premises (@p8661 @p2363)) % 1.31/1.55 (step @p8663 :rule refl :args (@t2438)) % 1.31/1.55 (step @p8664 :rule nary_cong :premises (@p8663 @p8662) :args (@t4818)) % 1.31/1.55 (step @p8665 :rule trans :premises (@p8664 @p8660)) % 1.31/1.55 (step @p8666 :rule cong :premises (@p8665) :args ((forall @t2439 @t4818))) % 1.31/1.55 (step @p8667 :rule quant-var-elim-eq :args ((= (forall @t64 @t4820) @t4818))) % 1.31/1.55 (step @p8668 :rule aci_norm :args ((= @t4821 @t4820))) % 1.31/1.55 (step @p8669 :rule cong :premises (@p8668) :args (@t4822)) % 1.31/1.55 (step @p8670 :rule trans :premises (@p8669 @p8667)) % 1.31/1.55 (step @p8671 :rule cong :premises (@p8670) :args (@t4823)) % 1.31/1.55 (step @p8672 :rule quant-merge-prenex :args ((= @t4823 @t4824))) % 1.31/1.55 (step @p8673 :rule symm :premises (@p8672)) % 1.31/1.55 (step @p8674 :rule quant_var_reordering :args ((= @t4825 @t4824))) % 1.31/1.55 (step @p8675 :rule trans :premises (@p8674 @p8673 @p8671)) % 1.31/1.55 (step @p8676 :rule trans :premises (@p8675 @p8666)) % 1.31/1.55 (step @p8677 :rule quant-merge-prenex :args ((= (forall @t64 @t4826) @t4825))) % 1.31/1.55 (step @p8678 :rule refl :args (@t4748)) % 1.31/1.55 (step @p8679 :rule alpha_equiv :args (@t4827 (@list @t2437) @t2833)) % 1.31/1.55 (step @p8680 :rule nary_cong :premises (@p8679 @p8678) :args (@t4828)) % 1.31/1.55 (step @p8681 :rule quant-miniscope-or :args ((= @t4826 @t4828))) % 1.31/1.55 (step @p8682 :rule trans :premises (@p8681 @p8680)) % 1.31/1.55 (step @p8683 :rule symm :premises (@p8682)) % 1.31/1.55 (step @p8684 :rule cong :premises (@p8683) :args ((forall @t64 (or @t2385 @t4748)))) % 1.31/1.55 (step @p8685 :rule trans :premises (@p8684 @p8677)) % 1.31/1.55 (step @p8686 :rule trans :premises (@p8685 @p8676)) % 1.31/1.55 (step @p8687 :rule bool-double-not-elim :args (@t2385)) % 1.31/1.55 (step @p8688 :rule nary_cong :premises (@p8687 @p8678) :args ((or @t4829 @t4748))) % 1.31/1.55 (step @p8689 :rule bool-impl-elim :args (@t2386 @t4748)) % 1.31/1.55 (step @p8690 :rule trans :premises (@p8689 @p8688)) % 1.31/1.55 (step @p8691 :rule cong :premises (@p8690) :args ((forall @t64 (=> @t2386 @t4748)))) % 1.31/1.55 (step @p8692 :rule trans :premises (@p8691 @p8686)) % 1.31/1.55 (step @p8693 :rule cong :premises (@p8312 @p8316) :args (@t4830)) % 1.31/1.55 (step @p8694 :rule cong :premises (@p8693) :args (@t4831)) % 1.31/1.55 (step @p8695 :rule trans :premises (@p8694 @p8692)) % 1.31/1.55 (step @p8696 :rule refl :args (tptp.nonemptyI1)) % 1.31/1.55 (step @p8697 :rule cong :premises (@p8696 @p8695) :args ((= tptp.nonemptyI1 @t4831))) % 1.31/1.55 (step @p8698 :rule refl :args (@t89)) % 1.31/1.55 (step @p8699 :rule cong :premises (@p8698 @p8323) :args (@t213)) % 1.31/1.55 (step @p8700 :rule cong :premises (@p8699) :args (@t214)) % 1.31/1.55 (step @p8701 :rule cong :premises (@p8696 @p8700) :args (@t215)) % 1.31/1.55 (step @p8702 :rule trans :premises (@p8701 @p8697)) % 1.31/1.55 (step @p8703 :rule eq_resolve :premises (@p28 @p8702)) % 1.31/1.55 (step @p8704 :rule cong :premises (@p8703 @p8659) :args (@t4832)) % 1.31/1.55 (step @p8705 :rule lambda-elim :args ((= @t4833 @t143))) % 1.31/1.55 (step @p8706 :rule cong :premises (@p2535 @p8705) :args (@t4834)) % 1.31/1.55 (step @p8707 :rule cong :premises (@p267 @p8706) :args (@t4835)) % 1.31/1.55 (step @p8708 :rule cong :premises (@p8707) :args (@t4836)) % 1.31/1.55 (step @p8709 :rule nary_cong :premises (@p2364 @p5338 @p8708) :args (@t4837)) % 1.31/1.55 (step @p8710 :rule cong :premises (@p8709) :args ((forall @t159 @t4837))) % 1.31/1.55 (step @p8711 :rule refl :args ((tptp.dsetconstr @t2 @t154))) % 1.31/1.55 (step @p8712 :rule cong :premises (@p3951) :args (@t4833)) % 1.31/1.55 (step @p8713 :rule cong :premises (@p983 @p8712) :args (@t4834)) % 1.31/1.55 (step @p8714 :rule trans :premises (@p8713 @p8711)) % 1.31/1.55 (step @p8715 :rule ho_cong :premises (@p3906 @p8712)) % 1.31/1.55 (step @p8716 :rule cong :premises (@p8715 @p8714) :args ((= (_ @t155 @t4833) @t4834))) % 1.31/1.55 (step @p8717 :rule symm :premises (@p8716)) % 1.31/1.55 (step @p8718 :rule refl :args (@t156)) % 1.31/1.55 (step @p8719 :rule eq_resolve :premises (@p8718 @p8717)) % 1.31/1.55 (step @p8720 :rule cong :premises (@p3955) :args (@t154)) % 1.31/1.55 (step @p8721 :rule ho_cong :premises (@p3906 @p8720)) % 1.31/1.55 (step @p8722 :rule trans :premises (@p8721 @p8719)) % 1.31/1.55 (step @p8723 :rule cong :premises (@p314 @p8722) :args (@t4838)) % 1.31/1.55 (step @p8724 :rule cong :premises (@p8723) :args (@t4839)) % 1.31/1.55 (step @p8725 :rule nary_cong :premises (@p936 @p3941 @p8724) :args (@t4840)) % 1.31/1.55 (step @p8726 :rule cong :premises (@p8725) :args ((forall @t159 @t4840))) % 1.31/1.55 (step @p8727 :rule trans :premises (@p8726 @p8710)) % 1.31/1.55 (step @p8728 :rule aci_norm :args ((= (or @t197 (or @t317 @t4839)) @t4840))) % 1.31/1.55 (step @p8729 :rule bool-impl-elim :args (@t144 @t4839)) % 1.31/1.55 (step @p8730 :rule nary_cong :premises (@p941 @p8729) :args ((or @t197 @t4841))) % 1.31/1.55 (step @p8731 :rule trans :premises (@p8730 @p8728)) % 1.31/1.55 (step @p8732 :rule bool-impl-elim :args (@t7 @t4841)) % 1.31/1.55 (step @p8733 :rule trans :premises (@p8732 @p8731)) % 1.31/1.55 (step @p8734 :rule cong :premises (@p8733) :args ((forall @t159 (=> @t7 @t4841)))) % 1.31/1.55 (step @p8735 :rule trans :premises (@p8734 @p8727)) % 1.31/1.55 (step @p8736 :rule eq-symm :args (@t156 tptp.emptyset)) % 1.31/1.55 (step @p8737 :rule cong :premises (@p8736) :args (@t4842)) % 1.31/1.55 (step @p8738 :rule beta-reduce :args ((= @t4843 @t4842))) % 1.31/1.55 (step @p8739 :rule trans :premises (@p8738 @p8737)) % 1.31/1.55 (step @p8740 :rule cong :premises (@p5416 @p8739) :args (@t4844)) % 1.31/1.55 (step @p8741 :rule cong :premises (@p2271 @p8740) :args (@t4845)) % 1.31/1.55 (step @p8742 :rule cong :premises (@p8741) :args (@t4846)) % 1.31/1.55 (step @p8743 :rule trans :premises (@p8742 @p8735)) % 1.31/1.55 (step @p8744 :rule refl :args (tptp.nonemptyI)) % 1.31/1.55 (step @p8745 :rule cong :premises (@p8744 @p8743) :args ((= tptp.nonemptyI @t4846))) % 1.31/1.55 (step @p8746 :rule refl :args (@t156)) % 1.31/1.55 (step @p8747 :rule ho_cong :premises (@p258 @p8746)) % 1.31/1.55 (step @p8748 :rule cong :premises (@p5416 @p8747) :args (@t209)) % 1.31/1.55 (step @p8749 :rule cong :premises (@p2271 @p8748) :args (@t210)) % 1.31/1.55 (step @p8750 :rule cong :premises (@p8749) :args (@t211)) % 1.31/1.55 (step @p8751 :rule cong :premises (@p8744 @p8750) :args (@t212)) % 1.31/1.55 (step @p8752 :rule trans :premises (@p8751 @p8745)) % 1.31/1.55 (step @p8753 :rule eq_resolve :premises (@p27 @p8752)) % 1.31/1.55 (step @p8754 :rule cong :premises (@p8753 @p8704) :args (@t4847)) % 1.31/1.55 (step @p8755 :rule cong :premises (@p8316 @p8312) :args (@t4848)) % 1.31/1.55 (step @p8756 :rule cong :premises (@p8755) :args (@t4849)) % 1.31/1.55 (step @p8757 :rule trans :premises (@p8756 @p8308)) % 1.31/1.55 (step @p8758 :rule refl :args (tptp.nonemptyE1)) % 1.31/1.55 (step @p8759 :rule cong :premises (@p8758 @p8757) :args ((= tptp.nonemptyE1 @t4849))) % 1.31/1.55 (step @p8760 :rule cong :premises (@p8323 @p8698) :args (@t206)) % 1.31/1.55 (step @p8761 :rule cong :premises (@p8760) :args (@t207)) % 1.31/1.55 (step @p8762 :rule cong :premises (@p8758 @p8761) :args (@t208)) % 1.31/1.55 (step @p8763 :rule trans :premises (@p8762 @p8759)) % 1.31/1.55 (step @p8764 :rule eq_resolve :premises (@p26 @p8763)) % 1.31/1.55 (step @p8765 :rule cong :premises (@p8764 @p8754) :args (@t4850)) % 1.31/1.55 (step @p8766 :rule cong :premises (@p2706 @p8706) :args (@t4851)) % 1.31/1.55 (step @p8767 :rule refl :args (@t2093)) % 1.31/1.55 (step @p8768 :rule cong :premises (@p8767 @p8766) :args (@t4852)) % 1.31/1.55 (step @p8769 :rule nary_cong :premises (@p2364 @p8768) :args (@t4853)) % 1.31/1.55 (step @p8770 :rule cong :premises (@p8769) :args ((forall @t159 @t4853))) % 1.31/1.55 (step @p8771 :rule refl :args ((tptp.in @t4 @t156))) % 1.31/1.55 (step @p8772 :rule cong :premises (@p914 @p8714) :args (@t4851)) % 1.31/1.55 (step @p8773 :rule trans :premises (@p8772 @p8771)) % 1.31/1.55 (step @p8774 :rule ho_cong :premises (@p917 @p8714)) % 1.31/1.55 (step @p8775 :rule cong :premises (@p8774 @p8773) :args ((= (_ @t5 @t4834) @t4851))) % 1.31/1.55 (step @p8776 :rule symm :premises (@p8775)) % 1.31/1.55 (step @p8777 :rule refl :args (@t157)) % 1.31/1.55 (step @p8778 :rule eq_resolve :premises (@p8777 @p8776)) % 1.31/1.55 (step @p8779 :rule ho_cong :premises (@p917 @p8722)) % 1.31/1.55 (step @p8780 :rule trans :premises (@p8779 @p8778)) % 1.31/1.55 (step @p8781 :rule cong :premises (@p3915 @p8780) :args (@t4854)) % 1.31/1.55 (step @p8782 :rule nary_cong :premises (@p936 @p8781) :args (@t4855)) % 1.31/1.55 (step @p8783 :rule cong :premises (@p8782) :args ((forall @t159 @t4855))) % 1.31/1.55 (step @p8784 :rule trans :premises (@p8783 @p8770)) % 1.31/1.55 (step @p8785 :rule bool-impl-elim :args (@t7 @t4854)) % 1.31/1.55 (step @p8786 :rule cong :premises (@p8785) :args ((forall @t159 (=> @t7 @t4854)))) % 1.31/1.55 (step @p8787 :rule trans :premises (@p8786 @p8784)) % 1.31/1.55 (step @p8788 :rule eq-symm :args (@t157 @t144)) % 1.31/1.55 (step @p8789 :rule cong :premises (@p2271 @p8788) :args (@t202)) % 1.31/1.55 (step @p8790 :rule cong :premises (@p8789) :args (@t203)) % 1.31/1.55 (step @p8791 :rule trans :premises (@p8790 @p8787)) % 1.31/1.55 (step @p8792 :rule refl :args (tptp.setbeta)) % 1.31/1.55 (step @p8793 :rule cong :premises (@p8792 @p8791) :args (@t204)) % 1.31/1.55 (step @p8794 :rule eq_resolve :premises (@p25 @p8793)) % 1.31/1.55 (step @p8795 :rule cong :premises (@p8794 @p8765) :args (@t4856)) % 1.31/1.55 (step @p8796 :rule eq-symm :args (@t2448 tptp.noeltsimpempty)) % 1.31/1.55 (step @p8797 :rule refl :args (tptp.noeltsimpempty)) % 1.31/1.55 (step @p8798 :rule bool-impl-elim :args (@t2385 @t196)) % 1.31/1.55 (step @p8799 :rule cong :premises (@p8798) :args ((forall @t64 (=> @t2385 @t196)))) % 1.31/1.55 (step @p8800 :rule refl :args (@t196)) % 1.31/1.55 (step @p8801 :rule cong :premises (@p8309 @p8800) :args (@t199)) % 1.31/1.55 (step @p8802 :rule cong :premises (@p8801) :args (@t200)) % 1.31/1.55 (step @p8803 :rule trans :premises (@p8802 @p8799)) % 1.31/1.55 (step @p8804 :rule cong :premises (@p8803 @p8797) :args ((= @t200 tptp.noeltsimpempty))) % 1.31/1.55 (step @p8805 :rule trans :premises (@p8804 @p8796)) % 1.31/1.55 (step @p8806 :rule eq-symm :args (tptp.noeltsimpempty @t200)) % 1.31/1.55 (step @p8807 :rule trans :premises (@p8806 @p8805)) % 1.31/1.55 (step @p8808 :rule eq_resolve :premises (@p24 @p8807)) % 1.31/1.55 (step @p8809 :rule cong :premises (@p8808 @p8795) :args (@t4857)) % 1.31/1.55 (step @p8810 :rule refl :args (tptp.emptyI)) % 1.31/1.55 (step @p8811 :rule cong :premises (@p8810 @p8803) :args (@t201)) % 1.31/1.55 (step @p8812 :rule eq_resolve :premises (@p23 @p8811)) % 1.31/1.55 (step @p8813 :rule cong :premises (@p8812 @p8809) :args (@t4858)) % 1.31/1.55 (step @p8814 :rule aci_norm :args ((= (or @t2296 (or @t2416 @t3)) @t2451))) % 1.31/1.55 (step @p8815 :rule bool-impl-elim :args (@t2415 @t3)) % 1.31/1.55 (step @p8816 :rule nary_cong :premises (@p7137 @p8815) :args ((or @t2296 @t4859))) % 1.31/1.55 (step @p8817 :rule trans :premises (@p8816 @p8814)) % 1.31/1.55 (step @p8818 :rule bool-impl-elim :args (@t2295 @t4859)) % 1.31/1.55 (step @p8819 :rule trans :premises (@p8818 @p8817)) % 1.31/1.55 (step @p8820 :rule cong :premises (@p8819) :args ((forall @t12 (=> @t2295 @t4859)))) % 1.31/1.55 (step @p8821 :rule cong :premises (@p8516 @p7319) :args (@t190)) % 1.31/1.55 (step @p8822 :rule cong :premises (@p7146 @p8821) :args (@t193)) % 1.31/1.55 (step @p8823 :rule cong :premises (@p8822) :args (@t194)) % 1.31/1.55 (step @p8824 :rule trans :premises (@p8823 @p8820)) % 1.31/1.55 (step @p8825 :rule refl :args (tptp.setext)) % 1.31/1.55 (step @p8826 :rule cong :premises (@p8825 @p8824) :args (@t195)) % 1.31/1.55 (step @p8827 :rule eq_resolve :premises (@p22 @p8826)) % 1.31/1.55 (step @p8828 :rule cong :premises (@p8827 @p8813) :args (@t4860)) % 1.31/1.55 (step @p8829 :rule eq-symm :args (@t2454 @t19)) % 1.31/1.55 (step @p8830 :rule nary_cong :premises (@p7334 @p8829) :args (@t4861)) % 1.31/1.55 (step @p8831 :rule cong :premises (@p8830) :args (@t4862)) % 1.31/1.55 (step @p8832 :rule cong :premises (@p8831) :args (@t4863)) % 1.31/1.55 (step @p8833 :rule refl :args (@t2455)) % 1.31/1.55 (step @p8834 :rule refl :args (@t2457)) % 1.31/1.55 (step @p8835 :rule nary_cong :premises (@p8834 @p8833 @p8832) :args (@t4864)) % 1.31/1.55 (step @p8836 :rule aci_norm :args ((= @t4866 @t4864))) % 1.31/1.55 (step @p8837 :rule trans :premises (@p8836 @p8835)) % 1.31/1.55 (step @p8838 :rule cong :premises (@p8837) :args (@t4867)) % 1.31/1.55 (step @p8839 :rule quant-merge-prenex :args ((= (forall @t150 @t4869) @t4867))) % 1.31/1.55 (step @p8840 :rule refl :args (@t2457)) % 1.31/1.55 (step @p8841 :rule alpha_equiv :args (@t4870 (@list @t2454) @t2833)) % 1.31/1.55 (step @p8842 :rule nary_cong :premises (@p8841 @p8840) :args (@t4871)) % 1.31/1.55 (step @p8843 :rule quant-miniscope-or :args ((= @t4869 @t4871))) % 1.31/1.55 (step @p8844 :rule trans :premises (@p8843 @p8842)) % 1.31/1.55 (step @p8845 :rule symm :premises (@p8844)) % 1.31/1.55 (step @p8846 :rule cong :premises (@p8845) :args ((forall @t150 (or @t2337 @t2457)))) % 1.31/1.55 (step @p8847 :rule trans :premises (@p8846 @p8839)) % 1.31/1.55 (step @p8848 :rule trans :premises (@p8847 @p8838)) % 1.31/1.55 (step @p8849 :rule nary_cong :premises (@p7402 @p8840) :args ((or @t4492 @t2457))) % 1.31/1.55 (step @p8850 :rule bool-impl-elim :args (@t2338 @t2457)) % 1.31/1.55 (step @p8851 :rule trans :premises (@p8850 @p8849)) % 1.31/1.55 (step @p8852 :rule cong :premises (@p8851) :args ((forall @t150 (=> @t2338 @t2457)))) % 1.31/1.55 (step @p8853 :rule trans :premises (@p8852 @p8848)) % 1.31/1.55 (step @p8854 :rule cong :premises (@p7454 @p7936) :args (@t4872)) % 1.31/1.55 (step @p8855 :rule cong :premises (@p8854) :args (@t4873)) % 1.31/1.55 (step @p8856 :rule trans :premises (@p8855 @p8853)) % 1.31/1.55 (step @p8857 :rule refl :args (tptp.exuE3e)) % 1.31/1.55 (step @p8858 :rule cong :premises (@p8857 @p8856) :args ((= tptp.exuE3e @t4873))) % 1.31/1.55 (step @p8859 :rule cong :premises (@p7497 @p7943) :args (@t187)) % 1.31/1.55 (step @p8860 :rule cong :premises (@p8859) :args (@t188)) % 1.31/1.55 (step @p8861 :rule cong :premises (@p8857 @p8860) :args (@t189)) % 1.31/1.55 (step @p8862 :rule trans :premises (@p8861 @p8858)) % 1.31/1.55 (step @p8863 :rule eq_resolve :premises (@p21 @p8862)) % 1.31/1.55 (step @p8864 :rule cong :premises (@p8863 @p8828) :args (@t4874)) % 1.31/1.55 (step @p8865 :rule eq-symm :args (@t2461 tptp.notinemptyset)) % 1.31/1.55 (step @p8866 :rule refl :args (tptp.notinemptyset)) % 1.31/1.55 (step @p8867 :rule cong :premises (@p8153) :args (@t17)) % 1.31/1.55 (step @p8868 :rule cong :premises (@p8867 @p8866) :args ((= @t17 tptp.notinemptyset))) % 1.31/1.55 (step @p8869 :rule trans :premises (@p8868 @p8865)) % 1.31/1.55 (step @p8870 :rule eq-symm :args (tptp.notinemptyset @t17)) % 1.31/1.55 (step @p8871 :rule trans :premises (@p8870 @p8869)) % 1.31/1.55 (step @p8872 :rule eq_resolve :premises (@p20 @p8871)) % 1.31/1.55 (step @p8873 :rule cong :premises (@p8872 @p8864) :args (@t4875)) % 1.31/1.55 (step @p8874 :rule bool-impl-false1 :args (@t15)) % 1.31/1.55 (step @p8875 :rule cong :premises (@p8874) :args (@t184)) % 1.31/1.55 (step @p8876 :rule trans :premises (@p8875 @p8867)) % 1.31/1.55 (step @p8877 :rule refl :args (tptp.emptysetimpfalse)) % 1.31/1.55 (step @p8878 :rule cong :premises (@p8877 @p8876) :args (@t185)) % 1.31/1.55 (step @p8879 :rule eq_resolve :premises (@p19 @p8878)) % 1.31/1.55 (step @p8880 :rule cong :premises (@p8879 @p8873) :args (@t4876)) % 1.31/1.55 (step @p8881 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t173)) false))) % 1.31/1.55 (step @p8882 :rule nary_cong :premises (@p2290 @p2284) :args (@t4877)) % 1.31/1.55 (step @p8883 :rule aci_norm :args ((= @t173 @t4877))) % 1.31/1.55 (step @p8884 :rule trans :premises (@p8883 @p8882)) % 1.31/1.55 (step @p8885 :rule cong :premises (@p8884) :args (@t180)) % 1.31/1.55 (step @p8886 :rule trans :premises (@p8885 @p8881)) % 1.31/1.55 (step @p8887 :rule refl :args (@t15)) % 1.31/1.55 (step @p8888 :rule cong :premises (@p8887 @p8886) :args (@t181)) % 1.31/1.55 (step @p8889 :rule trans :premises (@p8888 @p8874)) % 1.31/1.55 (step @p8890 :rule cong :premises (@p8889) :args (@t182)) % 1.31/1.55 (step @p8891 :rule trans :premises (@p8890 @p8867)) % 1.31/1.55 (step @p8892 :rule refl :args (tptp.emptysetE)) % 1.31/1.55 (step @p8893 :rule cong :premises (@p8892 @p8891) :args (@t183)) % 1.31/1.55 (step @p8894 :rule eq_resolve :premises (@p18 @p8893)) % 1.31/1.55 (step @p8895 :rule cong :premises (@p8894 @p8880) :args (@t4878)) % 1.31/1.55 (step @p8896 :rule aci_norm :args ((= @t4879 @t2465))) % 1.31/1.55 (step @p8897 :rule cong :premises (@p8896) :args ((forall @t9 @t4879))) % 1.31/1.55 (step @p8898 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t3262 @t4881 @t173)) @t4879))) % 1.31/1.55 (step @p8899 :rule refl :args (@t4881)) % 1.31/1.55 (step @p8900 :rule nary_cong :premises (@p2290 @p8899 @p2284) :args (@t4882)) % 1.31/1.55 (step @p8901 :rule aci_norm :args ((= @t4883 @t4882))) % 1.31/1.55 (step @p8902 :rule trans :premises (@p8901 @p8900)) % 1.31/1.55 (step @p8903 :rule cong :premises (@p8902) :args (@t4884)) % 1.31/1.55 (step @p8904 :rule trans :premises (@p8903 @p8898)) % 1.31/1.55 (step @p8905 :rule cong :premises (@p8904) :args (@t4885)) % 1.31/1.55 (step @p8906 :rule quant-merge-prenex :args ((= @t4885 @t4886))) % 1.31/1.55 (step @p8907 :rule symm :premises (@p8906)) % 1.31/1.55 (step @p8908 :rule quant_var_reordering :args ((= (forall @t176 @t4883) @t4886))) % 1.31/1.55 (step @p8909 :rule trans :premises (@p8908 @p8907 @p8905)) % 1.31/1.55 (step @p8910 :rule trans :premises (@p8909 @p8897)) % 1.31/1.55 (step @p8911 :rule refl :args ((tptp.in @t4 @t174))) % 1.31/1.55 (step @p8912 :rule cong :premises (@p914 @p8054) :args (@t4880)) % 1.31/1.55 (step @p8913 :rule trans :premises (@p8912 @p8911)) % 1.31/1.55 (step @p8914 :rule ho_cong :premises (@p917 @p8054)) % 1.31/1.55 (step @p8915 :rule cong :premises (@p8914 @p8913) :args ((= (_ @t5 @t4698) @t4880))) % 1.31/1.55 (step @p8916 :rule symm :premises (@p8915)) % 1.31/1.55 (step @p8917 :rule refl :args (@t175)) % 1.31/1.55 (step @p8918 :rule eq_resolve :premises (@p8917 @p8916)) % 1.31/1.55 (step @p8919 :rule ho_cong :premises (@p917 @p8066)) % 1.31/1.55 (step @p8920 :rule trans :premises (@p8919 @p8918)) % 1.31/1.55 (step @p8921 :rule cong :premises (@p8920) :args (@t4887)) % 1.31/1.55 (step @p8922 :rule nary_cong :premises (@p8921 @p2284) :args (@t4888)) % 1.31/1.55 (step @p8923 :rule cong :premises (@p8922) :args ((forall @t176 @t4888))) % 1.31/1.55 (step @p8924 :rule trans :premises (@p8923 @p8910)) % 1.31/1.55 (step @p8925 :rule bool-impl-elim :args (@t175 @t173)) % 1.31/1.55 (step @p8926 :rule cong :premises (@p8925) :args (@t177)) % 1.31/1.55 (step @p8927 :rule trans :premises (@p8926 @p8924)) % 1.31/1.55 (step @p8928 :rule refl :args (tptp.prop2setE)) % 1.31/1.55 (step @p8929 :rule cong :premises (@p8928 @p8927) :args (@t178)) % 1.31/1.55 (step @p8930 :rule eq_resolve :premises (@p17 @p8929)) % 1.31/1.55 (step @p8931 :rule cong :premises (@p8930 @p8895) :args (@t4889)) % 1.31/1.55 (step @p8932 :rule bool-eq-true :args (tptp.exuE1)) % 1.31/1.55 (step @p8933 :rule symm :premises (@p8932)) % 1.31/1.55 (step @p8934 :rule cong :premises (@p7454 @p7492) :args (@t4890)) % 1.31/1.55 (step @p8935 :rule cong :premises (@p8934) :args (@t4891)) % 1.31/1.55 (step @p8936 :rule trans :premises (@p8935 @p7959)) % 1.31/1.55 (step @p8937 :rule refl :args (tptp.exuE1)) % 1.31/1.55 (step @p8938 :rule cong :premises (@p8937 @p8936) :args ((= tptp.exuE1 @t4891))) % 1.31/1.55 (step @p8939 :rule trans :premises (@p8938 @p8932)) % 1.31/1.55 (step @p8940 :rule cong :premises (@p7497 @p7966) :args (@t170)) % 1.31/1.55 (step @p8941 :rule cong :premises (@p8940) :args (@t171)) % 1.31/1.55 (step @p8942 :rule cong :premises (@p8937 @p8941) :args (@t172)) % 1.31/1.55 (step @p8943 :rule trans :premises (@p8942 @p8939)) % 1.31/1.55 (step @p8944 :rule eq_resolve :premises (@p16 @p8943)) % 1.31/1.55 (step @p8945 :rule eq_resolve :premises (@p8944 @p8933)) % 1.31/1.55 (step @p8946 :rule cong :premises (@p8945 @p8931) :args (@t4892)) % 1.31/1.55 (step @p8947 :rule cong :premises (@p8766) :args (@t4893)) % 1.31/1.55 (step @p8948 :rule nary_cong :premises (@p8947 @p8767) :args (@t4894)) % 1.31/1.55 (step @p8949 :rule cong :premises (@p8948) :args ((forall @t159 @t4894))) % 1.31/1.55 (step @p8950 :rule cong :premises (@p8780) :args (@t4895)) % 1.31/1.55 (step @p8951 :rule nary_cong :premises (@p8950 @p3915) :args (@t4896)) % 1.31/1.55 (step @p8952 :rule cong :premises (@p8951) :args ((forall @t159 @t4896))) % 1.31/1.55 (step @p8953 :rule trans :premises (@p8952 @p8949)) % 1.31/1.55 (step @p8954 :rule bool-impl-elim :args (@t157 @t144)) % 1.31/1.55 (step @p8955 :rule cong :premises (@p8954) :args (@t164)) % 1.31/1.55 (step @p8956 :rule trans :premises (@p8955 @p8953)) % 1.31/1.55 (step @p8957 :rule refl :args (tptp.dsetconstrER)) % 1.31/1.55 (step @p8958 :rule cong :premises (@p8957 @p8956) :args (@t165)) % 1.31/1.55 (step @p8959 :rule eq_resolve :premises (@p15 @p8958)) % 1.31/1.55 (step @p8960 :rule cong :premises (@p8959 @p8946) :args (@t4897)) % 1.31/1.55 (step @p8961 :rule nary_cong :premises (@p8947 @p4484) :args (@t4898)) % 1.31/1.55 (step @p8962 :rule cong :premises (@p8961) :args ((forall @t159 @t4898))) % 1.31/1.55 (step @p8963 :rule nary_cong :premises (@p8950 @p935) :args (@t4899)) % 1.31/1.55 (step @p8964 :rule cong :premises (@p8963) :args ((forall @t159 @t4899))) % 1.31/1.55 (step @p8965 :rule trans :premises (@p8964 @p8962)) % 1.31/1.55 (step @p8966 :rule bool-impl-elim :args (@t157 @t7)) % 1.31/1.55 (step @p8967 :rule cong :premises (@p8966) :args (@t162)) % 1.31/1.55 (step @p8968 :rule trans :premises (@p8967 @p8965)) % 1.31/1.55 (step @p8969 :rule refl :args (tptp.dsetconstrEL)) % 1.31/1.55 (step @p8970 :rule cong :premises (@p8969 @p8968) :args (@t163)) % 1.31/1.55 (step @p8971 :rule eq_resolve :premises (@p14 @p8970)) % 1.31/1.55 (step @p8972 :rule cong :premises (@p8971 @p8960) :args (@t4900)) % 1.31/1.55 (step @p8973 :rule nary_cong :premises (@p2364 @p5338 @p8766) :args (@t4901)) % 1.31/1.55 (step @p8974 :rule cong :premises (@p8973) :args ((forall @t159 @t4901))) % 1.31/1.55 (step @p8975 :rule nary_cong :premises (@p936 @p3941 @p8780) :args (@t4902)) % 1.31/1.55 (step @p8976 :rule cong :premises (@p8975) :args ((forall @t159 @t4902))) % 1.31/1.55 (step @p8977 :rule trans :premises (@p8976 @p8974)) % 1.31/1.55 (step @p8978 :rule aci_norm :args ((= (or @t197 (or @t317 @t157)) @t4902))) % 1.31/1.55 (step @p8979 :rule bool-impl-elim :args (@t144 @t157)) % 1.31/1.55 (step @p8980 :rule nary_cong :premises (@p941 @p8979) :args ((or @t197 @t158))) % 1.31/1.55 (step @p8981 :rule trans :premises (@p8980 @p8978)) % 1.31/1.55 (step @p8982 :rule bool-impl-elim :args (@t7 @t158)) % 1.31/1.55 (step @p8983 :rule trans :premises (@p8982 @p8981)) % 1.31/1.55 (step @p8984 :rule cong :premises (@p8983) :args (@t160)) % 1.31/1.55 (step @p8985 :rule trans :premises (@p8984 @p8977)) % 1.31/1.55 (step @p8986 :rule refl :args (tptp.dsetconstrI)) % 1.31/1.55 (step @p8987 :rule cong :premises (@p8986 @p8985) :args (@t161)) % 1.31/1.55 (step @p8988 :rule eq_resolve :premises (@p13 @p8987)) % 1.31/1.55 (step @p8989 :rule cong :premises (@p8988 @p8972) :args (@t4903)) % 1.31/1.55 (step @p8990 :rule eq-symm :args (@t2475 @t19)) % 1.31/1.55 (step @p8991 :rule nary_cong :premises (@p7334 @p8990) :args (@t4904)) % 1.31/1.55 (step @p8992 :rule cong :premises (@p8991) :args (@t4905)) % 1.31/1.55 (step @p8993 :rule cong :premises (@p8992) :args (@t4906)) % 1.31/1.55 (step @p8994 :rule refl :args (@t2476)) % 1.31/1.55 (step @p8995 :rule refl :args (@t2477)) % 1.31/1.55 (step @p8996 :rule nary_cong :premises (@p8995 @p8994 @p8993) :args (@t4907)) % 1.31/1.55 (step @p8997 :rule aci_norm :args ((= @t4909 @t4907))) % 1.31/1.55 (step @p8998 :rule trans :premises (@p8997 @p8996)) % 1.31/1.55 (step @p8999 :rule cong :premises (@p8998) :args (@t4910)) % 1.31/1.55 (step @p9000 :rule quant-merge-prenex :args ((= (forall @t150 @t4912) @t4910))) % 1.31/1.55 (step @p9001 :rule refl :args (@t2477)) % 1.31/1.55 (step @p9002 :rule alpha_equiv :args (@t4913 (@list @t2475) @t2833)) % 1.31/1.55 (step @p9003 :rule nary_cong :premises (@p9002 @p9001) :args (@t4914)) % 1.31/1.55 (step @p9004 :rule quant-miniscope-or :args ((= @t4912 @t4914))) % 1.31/1.55 (step @p9005 :rule trans :premises (@p9004 @p9003)) % 1.31/1.55 (step @p9006 :rule symm :premises (@p9005)) % 1.31/1.55 (step @p9007 :rule cong :premises (@p9006) :args ((forall @t150 (or @t2337 @t2477)))) % 1.31/1.55 (step @p9008 :rule trans :premises (@p9007 @p9000)) % 1.31/1.55 (step @p9009 :rule trans :premises (@p9008 @p8999)) % 1.31/1.55 (step @p9010 :rule cong :premises (@p7358) :args (@t4915)) % 1.31/1.55 (step @p9011 :rule nary_cong :premises (@p7361 @p9010) :args (@t4916)) % 1.31/1.55 (step @p9012 :rule cong :premises (@p9011) :args ((forall @t150 @t4916))) % 1.31/1.55 (step @p9013 :rule trans :premises (@p9012 @p9009)) % 1.31/1.55 (step @p9014 :rule refl :args ((_ @t143 @t146))) % 1.31/1.55 (step @p9015 :rule cong :premises (@p7378) :args (@t4915)) % 1.31/1.55 (step @p9016 :rule trans :premises (@p9015 @p9014)) % 1.31/1.55 (step @p9017 :rule ho_cong :premises (@p4072 @p7378)) % 1.31/1.55 (step @p9018 :rule cong :premises (@p9017 @p9016) :args ((= (_ @t143 @t4486) @t4915))) % 1.31/1.55 (step @p9019 :rule symm :premises (@p9018)) % 1.31/1.55 (step @p9020 :rule refl :args (@t147)) % 1.31/1.55 (step @p9021 :rule eq_resolve :premises (@p9020 @p9019)) % 1.31/1.55 (step @p9022 :rule ho_cong :premises (@p4072 @p7385)) % 1.31/1.55 (step @p9023 :rule trans :premises (@p9022 @p9021)) % 1.31/1.55 (step @p9024 :rule nary_cong :premises (@p7388 @p9023) :args (@t4917)) % 1.31/1.55 (step @p9025 :rule cong :premises (@p9024) :args ((forall @t150 @t4917))) % 1.31/1.55 (step @p9026 :rule trans :premises (@p9025 @p9013)) % 1.31/1.55 (step @p9027 :rule nary_cong :premises (@p7402 @p9020) :args ((or @t4492 @t147))) % 1.31/1.55 (step @p9028 :rule bool-impl-elim :args (@t2338 @t147)) % 1.31/1.55 (step @p9029 :rule trans :premises (@p9028 @p9027)) % 1.31/1.55 (step @p9030 :rule cong :premises (@p9029) :args ((forall @t150 (=> @t2338 @t147)))) % 1.31/1.55 (step @p9031 :rule trans :premises (@p9030 @p9026)) % 1.31/1.55 (step @p9032 :rule refl :args (@t147)) % 1.31/1.55 (step @p9033 :rule cong :premises (@p7454 @p9032) :args (@t4918)) % 1.31/1.55 (step @p9034 :rule cong :premises (@p9033) :args (@t4919)) % 1.31/1.55 (step @p9035 :rule trans :premises (@p9034 @p9031)) % 1.31/1.55 (step @p9036 :rule refl :args (tptp.descrp)) % 1.31/1.55 (step @p9037 :rule cong :premises (@p9036 @p9035) :args ((= tptp.descrp @t4919))) % 1.31/1.55 (step @p9038 :rule cong :premises (@p7497 @p9032) :args (@t149)) % 1.31/1.55 (step @p9039 :rule cong :premises (@p9038) :args (@t151)) % 1.31/1.55 (step @p9040 :rule cong :premises (@p9036 @p9039) :args (@t152)) % 1.31/1.55 (step @p9041 :rule trans :premises (@p9040 @p9037)) % 1.31/1.55 (step @p9042 :rule eq_resolve :premises (@p12 @p9041)) % 1.31/1.55 (step @p9043 :rule cong :premises (@p9042 @p8989) :args (@t4920)) % 1.31/1.55 (step @p9044 :rule aci_norm :args ((= (or @t2529 (or @t2522 (or @t2518 @t2506))) @t2530))) % 1.31/1.55 (step @p9045 :rule bool-and-de-morgan :args (@t2517 @t2505 true)) % 1.31/1.55 (step @p9046 :rule refl :args (@t2522)) % 1.31/1.55 (step @p9047 :rule nary_cong :premises (@p9046 @p9045) :args ((or @t2522 (not (and @t2517 @t2505))))) % 1.31/1.55 (step @p9048 :rule bool-and-de-morgan :args (@t2521 @t2517 (and @t2505))) % 1.31/1.55 (step @p9049 :rule trans :premises (@p9048 @p9047)) % 1.31/1.55 (step @p9050 :rule refl :args (@t2529)) % 1.31/1.55 (step @p9051 :rule nary_cong :premises (@p9050 @p9049) :args ((or @t2529 (not (and @t2521 @t2517 @t2505))))) % 1.31/1.55 (step @p9052 :rule bool-and-de-morgan :args (@t2528 @t2521 (and @t2517 @t2505))) % 1.31/1.55 (step @p9053 :rule trans :premises (@p9052 @p9051)) % 1.31/1.55 (step @p9054 :rule trans :premises (@p9053 @p9044)) % 1.31/1.55 (step @p9055 :rule cong :premises (@p9054) :args (@t4922)) % 1.31/1.55 (step @p9056 :rule cong :premises (@p9055) :args (@t4923)) % 1.31/1.55 (step @p9057 :rule exists-elim :args ((= (exists @t41 @t4921) @t4923))) % 1.31/1.55 (step @p9058 :rule trans :premises (@p9057 @p9056)) % 1.31/1.55 (step @p9059 :rule quant-merge-prenex :args ((= (forall @t118 @t4925) @t2505))) % 1.31/1.55 (step @p9060 :rule refl :args (@t2499)) % 1.31/1.55 (step @p9061 :rule alpha_equiv :args (@t4926 (@list @t2500) @t2833)) % 1.31/1.55 (step @p9062 :rule refl :args (@t2503)) % 1.31/1.55 (step @p9063 :rule nary_cong :premises (@p9062 @p9061 @p9060) :args (@t4927)) % 1.31/1.55 (step @p9064 :rule quant-miniscope-or :args ((= @t4925 @t4927))) % 1.31/1.55 (step @p9065 :rule trans :premises (@p9064 @p9063)) % 1.31/1.55 (step @p9066 :rule symm :premises (@p9065)) % 1.31/1.55 (step @p9067 :rule cong :premises (@p9066) :args ((forall @t118 @t4929))) % 1.31/1.55 (step @p9068 :rule trans :premises (@p9067 @p9059)) % 1.31/1.55 (step @p9069 :rule aci_norm :args ((= (or (or @t2503 @t4928) @t2499) @t4929))) % 1.31/1.55 (step @p9070 :rule bool-double-not-elim :args (@t4928)) % 1.31/1.55 (step @p9071 :rule nary_cong :premises (@p9062 @p9070) :args ((or @t2503 (not @t4930)))) % 1.31/1.55 (step @p9072 :rule bool-and-de-morgan :args (@t2502 @t4930 true)) % 1.31/1.55 (step @p9073 :rule trans :premises (@p9072 @p9071)) % 1.31/1.55 (step @p9074 :rule nary_cong :premises (@p9073 @p9060) :args ((or (not @t4931) @t2499))) % 1.31/1.55 (step @p9075 :rule trans :premises (@p9074 @p9069)) % 1.31/1.55 (step @p9076 :rule bool-impl-elim :args (@t4931 @t2499)) % 1.31/1.55 (step @p9077 :rule trans :premises (@p9076 @p9075)) % 1.31/1.55 (step @p9078 :rule cong :premises (@p9077) :args ((forall @t118 (=> @t4931 @t2499)))) % 1.31/1.55 (step @p9079 :rule trans :premises (@p9078 @p9068)) % 1.31/1.55 (step @p9080 :rule refl :args (@t2490)) % 1.31/1.55 (step @p9081 :rule refl :args (@t2494)) % 1.31/1.55 (step @p9082 :rule refl :args (@t2495)) % 1.31/1.55 (step @p9083 :rule refl :args (@t109)) % 1.31/1.55 (step @p9084 :rule cong :premises (@p9083 @p9082) :args ((= @t109 @t2495))) % 1.31/1.55 (step @p9085 :rule symm :premises (@p9084)) % 1.31/1.55 (step @p9086 :rule eq_resolve :premises (@p9083 @p9085)) % 1.31/1.55 (step @p9087 :rule cong :premises (@p9086) :args (@t4932)) % 1.31/1.55 (step @p9088 :rule refl :args (@t2497)) % 1.31/1.55 (step @p9089 :rule refl :args (@t110)) % 1.31/1.55 (step @p9090 :rule cong :premises (@p9089 @p9088) :args ((= @t110 @t2497))) % 1.31/1.55 (step @p9091 :rule symm :premises (@p9090)) % 1.31/1.55 (step @p9092 :rule eq_resolve :premises (@p9089 @p9091)) % 1.31/1.55 (step @p9093 :rule cong :premises (@p9092) :args (@t4933)) % 1.31/1.55 (step @p9094 :rule nary_cong :premises (@p9093 @p9087 @p9081 @p9080) :args (@t4934)) % 1.31/1.55 (step @p9095 :rule cong :premises (@p9094) :args ((forall @t112 @t4934))) % 1.31/1.55 (step @p9096 :rule aci_norm :args ((= (or @t4933 (or @t4932 (or @t2494 @t2490))) @t4934))) % 1.31/1.55 (step @p9097 :rule bool-and-de-morgan :args (@t2493 @t2489 true)) % 1.31/1.55 (step @p9098 :rule refl :args (@t4932)) % 1.31/1.55 (step @p9099 :rule nary_cong :premises (@p9098 @p9097) :args ((or @t4932 (not (and @t2493 @t2489))))) % 1.31/1.55 (step @p9100 :rule bool-and-de-morgan :args (@t109 @t2493 (and @t2489))) % 1.31/1.55 (step @p9101 :rule trans :premises (@p9100 @p9099)) % 1.31/1.55 (step @p9102 :rule refl :args (@t4933)) % 1.31/1.55 (step @p9103 :rule nary_cong :premises (@p9102 @p9101) :args ((or @t4933 (not (and @t109 @t2493 @t2489))))) % 1.31/1.55 (step @p9104 :rule bool-and-de-morgan :args (@t110 @t109 (and @t2493 @t2489))) % 1.31/1.55 (step @p9105 :rule trans :premises (@p9104 @p9103)) % 1.31/1.55 (step @p9106 :rule trans :premises (@p9105 @p9096)) % 1.31/1.55 (step @p9107 :rule cong :premises (@p9106) :args (@t4936)) % 1.31/1.55 (step @p9108 :rule trans :premises (@p9107 @p9095)) % 1.31/1.55 (step @p9109 :rule cong :premises (@p9108) :args (@t4937)) % 1.31/1.55 (step @p9110 :rule exists-elim :args ((= (exists @t112 @t4935) @t4937))) % 1.31/1.55 (step @p9111 :rule trans :premises (@p9110 @p9109)) % 1.31/1.55 (step @p9112 :rule aci_norm :args ((= @t4939 @t2487))) % 1.31/1.55 (step @p9113 :rule cong :premises (@p9112) :args (@t4940)) % 1.31/1.55 (step @p9114 :rule quant-merge-prenex :args ((= (forall @t102 @t4942) @t4940))) % 1.31/1.55 (step @p9115 :rule refl :args (@t2484)) % 1.31/1.55 (step @p9116 :rule alpha_equiv :args (@t4943 (@list @t2481) @t3250)) % 1.31/1.55 (step @p9117 :rule refl :args (@t2486)) % 1.31/1.55 (step @p9118 :rule nary_cong :premises (@p9117 @p9116 @p9115) :args (@t4944)) % 1.31/1.55 (step @p9119 :rule quant-miniscope-or :args ((= @t4942 @t4944))) % 1.31/1.55 (step @p9120 :rule trans :premises (@p9119 @p9118)) % 1.31/1.55 (step @p9121 :rule symm :premises (@p9120)) % 1.31/1.55 (step @p9122 :rule cong :premises (@p9121) :args ((forall @t102 (or @t2486 @t4946 @t2484)))) % 1.31/1.55 (step @p9123 :rule trans :premises (@p9122 @p9114)) % 1.31/1.55 (step @p9124 :rule trans :premises (@p9123 @p9113)) % 1.31/1.55 (step @p9125 :rule refl :args (@t2484)) % 1.31/1.55 (step @p9126 :rule refl :args (@t94)) % 1.31/1.55 (step @p9127 :rule cong :premises (@p9126 @p9125) :args ((= @t94 @t2484))) % 1.31/1.55 (step @p9128 :rule symm :premises (@p9127)) % 1.31/1.55 (step @p9129 :rule eq_resolve :premises (@p9126 @p9128)) % 1.31/1.55 (step @p9130 :rule refl :args (@t4946)) % 1.31/1.55 (step @p9131 :rule refl :args (@t2485)) % 1.31/1.55 (step @p9132 :rule refl :args (@t100)) % 1.31/1.55 (step @p9133 :rule cong :premises (@p9132 @p9131) :args ((= @t100 @t2485))) % 1.31/1.55 (step @p9134 :rule symm :premises (@p9133)) % 1.31/1.55 (step @p9135 :rule eq_resolve :premises (@p9132 @p9134)) % 1.31/1.55 (step @p9136 :rule cong :premises (@p9135) :args (@t4947)) % 1.31/1.55 (step @p9137 :rule nary_cong :premises (@p9136 @p9130 @p9129) :args (@t4948)) % 1.31/1.55 (step @p9138 :rule cong :premises (@p9137) :args ((forall @t102 @t4948))) % 1.31/1.55 (step @p9139 :rule trans :premises (@p9138 @p9124)) % 1.31/1.55 (step @p9140 :rule aci_norm :args ((= (or @t4947 @t4949) @t4948))) % 1.31/1.55 (step @p9141 :rule bool-impl-elim :args (@t100 @t4949)) % 1.31/1.55 (step @p9142 :rule trans :premises (@p9141 @p9140)) % 1.31/1.55 (step @p9143 :rule cong :premises (@p9142) :args ((forall @t102 (=> @t100 @t4949)))) % 1.31/1.55 (step @p9144 :rule trans :premises (@p9143 @p9139)) % 1.31/1.55 (step @p9145 :rule refl :args (@t94)) % 1.31/1.55 (step @p9146 :rule refl :args (@t2492)) % 1.31/1.55 (step @p9147 :rule refl :args (@t96)) % 1.31/1.55 (step @p9148 :rule cong :premises (@p9147 @p9146) :args ((= @t96 @t2492))) % 1.31/1.55 (step @p9149 :rule symm :premises (@p9148)) % 1.31/1.55 (step @p9150 :rule eq_resolve :premises (@p9147 @p9149)) % 1.31/1.55 (step @p9151 :rule refl :args (@t4945)) % 1.31/1.55 (step @p9152 :rule refl :args (@t97)) % 1.31/1.55 (step @p9153 :rule cong :premises (@p9152 @p9151) :args ((= @t97 @t4945))) % 1.31/1.55 (step @p9154 :rule symm :premises (@p9153)) % 1.31/1.55 (step @p9155 :rule eq_resolve :premises (@p9152 @p9154)) % 1.31/1.55 (step @p9156 :rule cong :premises (@p9155) :args (@t4950)) % 1.31/1.55 (step @p9157 :rule nary_cong :premises (@p9156 @p9150) :args (@t4951)) % 1.31/1.55 (step @p9158 :rule cong :premises (@p9157) :args ((forall @t70 @t4951))) % 1.31/1.55 (step @p9159 :rule bool-impl-elim :args (@t97 @t96)) % 1.31/1.55 (step @p9160 :rule cong :premises (@p9159) :args (@t98)) % 1.31/1.55 (step @p9161 :rule trans :premises (@p9160 @p9158)) % 1.31/1.55 (step @p9162 :rule nary_cong :premises (@p9161 @p9145) :args (@t99)) % 1.31/1.55 (step @p9163 :rule refl :args (@t100)) % 1.31/1.55 (step @p9164 :rule cong :premises (@p9163 @p9162) :args (@t101)) % 1.31/1.55 (step @p9165 :rule cong :premises (@p9164) :args (@t103)) % 1.31/1.55 (step @p9166 :rule trans :premises (@p9165 @p9144)) % 1.31/1.55 (step @p9167 :rule bool-double-not-elim :args (@t2493)) % 1.31/1.55 (step @p9168 :rule refl :args (@t2491)) % 1.31/1.55 (step @p9169 :rule refl :args (@t105)) % 1.31/1.55 (step @p9170 :rule cong :premises (@p9169 @p9168) :args ((= @t105 @t2491))) % 1.31/1.55 (step @p9171 :rule symm :premises (@p9170)) % 1.31/1.55 (step @p9172 :rule eq_resolve :premises (@p9169 @p9171)) % 1.31/1.55 (step @p9173 :rule cong :premises (@p9172) :args (@t4952)) % 1.31/1.55 (step @p9174 :rule cong :premises (@p9150) :args (@t4953)) % 1.31/1.55 (step @p9175 :rule nary_cong :premises (@p9174 @p9173) :args (@t4954)) % 1.31/1.55 (step @p9176 :rule cong :premises (@p9175) :args ((forall @t70 @t4954))) % 1.31/1.55 (step @p9177 :rule bool-and-de-morgan :args (@t96 @t105 true)) % 1.31/1.55 (step @p9178 :rule cong :premises (@p9177) :args (@t4955)) % 1.31/1.55 (step @p9179 :rule trans :premises (@p9178 @p9176)) % 1.31/1.55 (step @p9180 :rule cong :premises (@p9179) :args (@t4956)) % 1.31/1.55 (step @p9181 :rule exists-elim :args ((= @t107 @t4956))) % 1.31/1.55 (step @p9182 :rule trans :premises (@p9181 @p9180)) % 1.31/1.55 (step @p9183 :rule cong :premises (@p9182) :args (@t108)) % 1.31/1.55 (step @p9184 :rule trans :premises (@p9183 @p9167)) % 1.31/1.55 (step @p9185 :rule refl :args (@t109)) % 1.31/1.55 (step @p9186 :rule refl :args (@t110)) % 1.31/1.55 (step @p9187 :rule nary_cong :premises (@p9186 @p9185 @p9184 @p9166) :args (@t111)) % 1.31/1.55 (step @p9188 :rule cong :premises (@p9187) :args (@t113)) % 1.31/1.55 (step @p9189 :rule trans :premises (@p9188 @p9111)) % 1.31/1.55 (step @p9190 :rule cong :premises (@p9087) :args (@t4957)) % 1.31/1.55 (step @p9191 :rule cong :premises (@p9190) :args (@t4958)) % 1.31/1.55 (step @p9192 :rule exists-elim :args ((= @t114 @t4958))) % 1.31/1.55 (step @p9193 :rule trans :premises (@p9192 @p9191)) % 1.31/1.55 (step @p9194 :rule nary_cong :premises (@p9087 @p935) :args (@t4959)) % 1.31/1.55 (step @p9195 :rule cong :premises (@p9194) :args ((forall @t9 @t4959))) % 1.31/1.55 (step @p9196 :rule bool-impl-elim :args (@t109 @t7)) % 1.31/1.55 (step @p9197 :rule cong :premises (@p9196) :args (@t115)) % 1.31/1.55 (step @p9198 :rule trans :premises (@p9197 @p9195)) % 1.31/1.55 (step @p9199 :rule nary_cong :premises (@p9198 @p9193) :args (@t116)) % 1.31/1.55 (step @p9200 :rule cong :premises (@p9199 @p9189) :args (@t117)) % 1.31/1.55 (step @p9201 :rule cong :premises (@p9200) :args (@t119)) % 1.31/1.55 (step @p9202 :rule trans :premises (@p9201 @p9079)) % 1.31/1.55 (step @p9203 :rule aci_norm :args ((= @t4962 @t2515))) % 1.31/1.55 (step @p9204 :rule cong :premises (@p9203) :args (@t4963)) % 1.31/1.55 (step @p9205 :rule quant-merge-prenex :args ((= (forall @t127 @t4964) @t4963))) % 1.31/1.55 (step @p9206 :rule alpha_equiv :args (@t4965 (@list @t2507) @t2833)) % 1.31/1.55 (step @p9207 :rule alpha_equiv :args (@t4966 (@list @t2510) @t2833)) % 1.31/1.55 (step @p9208 :rule refl :args (@t2498)) % 1.31/1.55 (step @p9209 :rule refl :args (@t2514)) % 1.31/1.55 (step @p9210 :rule nary_cong :premises (@p9209 @p9208 @p9207 @p9206) :args (@t4967)) % 1.31/1.55 (step @p9211 :rule quant-miniscope-or :args ((= @t4964 @t4967))) % 1.31/1.55 (step @p9212 :rule trans :premises (@p9211 @p9210)) % 1.31/1.55 (step @p9213 :rule symm :premises (@p9212)) % 1.31/1.55 (step @p9214 :rule cong :premises (@p9213) :args ((forall @t127 (or @t2514 @t2498 @t4970 @t4969)))) % 1.31/1.55 (step @p9215 :rule trans :premises (@p9214 @p9205)) % 1.31/1.55 (step @p9216 :rule trans :premises (@p9215 @p9204)) % 1.31/1.55 (step @p9217 :rule refl :args (@t4969)) % 1.31/1.55 (step @p9218 :rule refl :args (@t4970)) % 1.31/1.55 (step @p9219 :rule refl :args (@t2513)) % 1.31/1.55 (step @p9220 :rule refl :args (@t124)) % 1.31/1.55 (step @p9221 :rule cong :premises (@p9220 @p9219) :args ((= @t124 @t2513))) % 1.31/1.55 (step @p9222 :rule symm :premises (@p9221)) % 1.31/1.55 (step @p9223 :rule eq_resolve :premises (@p9220 @p9222)) % 1.31/1.55 (step @p9224 :rule cong :premises (@p9223) :args (@t4971)) % 1.31/1.55 (step @p9225 :rule nary_cong :premises (@p9224 @p9093 @p9218 @p9217) :args (@t4972)) % 1.31/1.55 (step @p9226 :rule cong :premises (@p9225) :args ((forall @t127 @t4972))) % 1.31/1.55 (step @p9227 :rule trans :premises (@p9226 @p9216)) % 1.31/1.55 (step @p9228 :rule aci_norm :args ((= (or (or @t4971 @t4933) @t4973) @t4972))) % 1.31/1.55 (step @p9229 :rule refl :args (@t4973)) % 1.31/1.55 (step @p9230 :rule bool-and-de-morgan :args (@t124 @t110 true)) % 1.31/1.55 (step @p9231 :rule nary_cong :premises (@p9230 @p9229) :args ((or (not @t125) @t4973))) % 1.31/1.55 (step @p9232 :rule trans :premises (@p9231 @p9228)) % 1.31/1.55 (step @p9233 :rule bool-impl-elim :args (@t125 @t4973)) % 1.31/1.55 (step @p9234 :rule trans :premises (@p9233 @p9232)) % 1.31/1.55 (step @p9235 :rule cong :premises (@p9234) :args ((forall @t127 (=> @t125 @t4973)))) % 1.31/1.55 (step @p9236 :rule trans :premises (@p9235 @p9227)) % 1.31/1.55 (step @p9237 :rule refl :args (@t4968)) % 1.31/1.55 (step @p9238 :rule refl :args (@t120)) % 1.31/1.55 (step @p9239 :rule cong :premises (@p9238 @p9237) :args ((= @t120 @t4968))) % 1.31/1.55 (step @p9240 :rule symm :premises (@p9239)) % 1.31/1.55 (step @p9241 :rule eq_resolve :premises (@p9238 @p9240)) % 1.31/1.55 (step @p9242 :rule cong :premises (@p9241) :args (@t4974)) % 1.31/1.55 (step @p9243 :rule nary_cong :premises (@p9242 @p9086) :args (@t4975)) % 1.31/1.55 (step @p9244 :rule cong :premises (@p9243) :args ((forall @t9 @t4975))) % 1.31/1.55 (step @p9245 :rule bool-impl-elim :args (@t120 @t109)) % 1.31/1.55 (step @p9246 :rule cong :premises (@p9245) :args (@t121)) % 1.31/1.55 (step @p9247 :rule trans :premises (@p9246 @p9244)) % 1.31/1.55 (step @p9248 :rule nary_cong :premises (@p9087 @p9241) :args (@t4976)) % 1.31/1.55 (step @p9249 :rule cong :premises (@p9248) :args ((forall @t9 @t4976))) % 1.31/1.55 (step @p9250 :rule bool-impl-elim :args (@t109 @t120)) % 1.31/1.55 (step @p9251 :rule cong :premises (@p9250) :args (@t122)) % 1.31/1.55 (step @p9252 :rule trans :premises (@p9251 @p9249)) % 1.31/1.55 (step @p9253 :rule nary_cong :premises (@p9252 @p9247) :args (@t123)) % 1.31/1.55 (step @p9254 :rule refl :args (@t125)) % 1.31/1.55 (step @p9255 :rule cong :premises (@p9254 @p9253) :args (@t126)) % 1.31/1.55 (step @p9256 :rule cong :premises (@p9255) :args (@t128)) % 1.31/1.55 (step @p9257 :rule trans :premises (@p9256 @p9236)) % 1.31/1.55 (step @p9258 :rule refl :args (@t2520)) % 1.31/1.55 (step @p9259 :rule nary_cong :premises (@p936 @p2265 @p9258 @p3950) :args (@t4977)) % 1.31/1.55 (step @p9260 :rule cong :premises (@p9259) :args ((forall @t135 @t4977))) % 1.31/1.55 (step @p9261 :rule aci_norm :args ((= (or (or @t197 @t3257) (or @t2520 @t129)) @t4977))) % 1.31/1.55 (step @p9262 :rule bool-impl-elim :args (@t2519 @t129)) % 1.31/1.55 (step @p9263 :rule bool-and-de-morgan :args (@t7 @t21 true)) % 1.31/1.55 (step @p9264 :rule nary_cong :premises (@p9263 @p9262) :args ((or (not @t133) @t4978))) % 1.31/1.55 (step @p9265 :rule trans :premises (@p9264 @p9261)) % 1.31/1.55 (step @p9266 :rule bool-impl-elim :args (@t133 @t4978)) % 1.31/1.55 (step @p9267 :rule trans :premises (@p9266 @p9265)) % 1.31/1.55 (step @p9268 :rule cong :premises (@p9267) :args ((forall @t135 (=> @t133 @t4978)))) % 1.31/1.55 (step @p9269 :rule trans :premises (@p9268 @p9260)) % 1.31/1.55 (step @p9270 :rule cong :premises (@p9086 @p9172) :args (@t130)) % 1.31/1.55 (step @p9271 :rule nary_cong :premises (@p9224 @p9270) :args (@t4979)) % 1.31/1.55 (step @p9272 :rule cong :premises (@p9271) :args ((forall @t118 @t4979))) % 1.31/1.55 (step @p9273 :rule bool-impl-elim :args (@t124 @t130)) % 1.31/1.55 (step @p9274 :rule cong :premises (@p9273) :args (@t131)) % 1.31/1.55 (step @p9275 :rule trans :premises (@p9274 @p9272)) % 1.31/1.55 (step @p9276 :rule cong :premises (@p9275 @p5123) :args (@t132)) % 1.31/1.55 (step @p9277 :rule refl :args (@t133)) % 1.31/1.55 (step @p9278 :rule cong :premises (@p9277 @p9276) :args (@t134)) % 1.31/1.55 (step @p9279 :rule cong :premises (@p9278) :args (@t136)) % 1.31/1.55 (step @p9280 :rule trans :premises (@p9279 @p9269)) % 1.31/1.55 (step @p9281 :rule aci_norm :args ((= @t4981 @t2526))) % 1.31/1.55 (step @p9282 :rule cong :premises (@p9281) :args (@t4982)) % 1.31/1.55 (step @p9283 :rule quant-merge-prenex :args ((= (forall @t118 @t4984) @t4982))) % 1.31/1.55 (step @p9284 :rule alpha_equiv :args (@t4985 (@list @t2523) @t2833)) % 1.31/1.55 (step @p9285 :rule nary_cong :premises (@p9209 @p9284) :args (@t4986)) % 1.31/1.55 (step @p9286 :rule quant-miniscope-or :args ((= @t4984 @t4986))) % 1.31/1.55 (step @p9287 :rule trans :premises (@p9286 @p9285)) % 1.31/1.55 (step @p9288 :rule symm :premises (@p9287)) % 1.31/1.55 (step @p9289 :rule cong :premises (@p9288) :args ((forall @t118 (or @t2514 @t2502)))) % 1.31/1.55 (step @p9290 :rule trans :premises (@p9289 @p9283)) % 1.31/1.55 (step @p9291 :rule trans :premises (@p9290 @p9282)) % 1.31/1.55 (step @p9292 :rule refl :args (@t2502)) % 1.31/1.55 (step @p9293 :rule nary_cong :premises (@p9224 @p9292) :args (@t4987)) % 1.31/1.55 (step @p9294 :rule cong :premises (@p9293) :args ((forall @t118 @t4987))) % 1.31/1.55 (step @p9295 :rule trans :premises (@p9294 @p9291)) % 1.31/1.55 (step @p9296 :rule bool-impl-elim :args (@t124 @t2502)) % 1.31/1.55 (step @p9297 :rule cong :premises (@p9296) :args ((forall @t118 (=> @t124 @t2502)))) % 1.31/1.55 (step @p9298 :rule trans :premises (@p9297 @p9295)) % 1.31/1.55 (step @p9299 :rule refl :args (@t124)) % 1.31/1.55 (step @p9300 :rule cong :premises (@p9299 @p9198) :args (@t137)) % 1.31/1.55 (step @p9301 :rule cong :premises (@p9300) :args (@t138)) % 1.31/1.55 (step @p9302 :rule trans :premises (@p9301 @p9298)) % 1.31/1.55 (step @p9303 :rule nary_cong :premises (@p9302 @p9280 @p9257 @p9202) :args (@t139)) % 1.31/1.55 (step @p9304 :rule cong :premises (@p9303) :args (@t140)) % 1.31/1.55 (step @p9305 :rule trans :premises (@p9304 @p9058)) % 1.31/1.55 (step @p9306 :rule cong :premises (@p9305) :args (@t141)) % 1.31/1.55 (step @p9307 :rule refl :args (tptp.wellorderingAx)) % 1.31/1.55 (step @p9308 :rule cong :premises (@p9307 @p9306) :args (@t142)) % 1.31/1.55 (step @p9309 :rule eq_resolve :premises (@p11 @p9308)) % 1.31/1.55 (step @p9310 :rule cong :premises (@p9309 @p9043) :args (@t4988)) % 1.31/1.55 (step @p9311 :rule quant-merge-prenex :args ((= (forall @t64 @t4990) @t2539))) % 1.31/1.55 (step @p9312 :rule refl :args (@t2535)) % 1.31/1.55 (step @p9313 :rule alpha_equiv :args (@t4991 (@list @t2536) @t2833)) % 1.31/1.55 (step @p9314 :rule nary_cong :premises (@p9313 @p9312) :args (@t4992)) % 1.31/1.55 (step @p9315 :rule quant-miniscope-or :args ((= @t4990 @t4992))) % 1.31/1.55 (step @p9316 :rule trans :premises (@p9315 @p9314)) % 1.31/1.55 (step @p9317 :rule symm :premises (@p9316)) % 1.31/1.55 (step @p9318 :rule cong :premises (@p9317) :args ((forall @t64 (or @t2385 @t2535)))) % 1.31/1.55 (step @p9319 :rule trans :premises (@p9318 @p9311)) % 1.31/1.55 (step @p9320 :rule nary_cong :premises (@p8687 @p9312) :args ((or @t4829 @t2535))) % 1.31/1.55 (step @p9321 :rule bool-impl-elim :args (@t2386 @t2535)) % 1.31/1.55 (step @p9322 :rule trans :premises (@p9321 @p9320)) % 1.31/1.55 (step @p9323 :rule cong :premises (@p9322) :args ((forall @t64 (=> @t2386 @t2535)))) % 1.31/1.55 (step @p9324 :rule trans :premises (@p9323 @p9319)) % 1.31/1.55 (step @p9325 :rule refl :args (@t2534)) % 1.31/1.55 (step @p9326 :rule nary_cong :premises (@p8426 @p9325) :args (@t4993)) % 1.31/1.55 (step @p9327 :rule cong :premises (@p9326) :args ((forall @t41 @t4993))) % 1.31/1.55 (step @p9328 :rule bool-and-de-morgan :args (@t39 @t2533 true)) % 1.31/1.55 (step @p9329 :rule cong :premises (@p9328) :args (@t4995)) % 1.31/1.55 (step @p9330 :rule trans :premises (@p9329 @p9327)) % 1.31/1.55 (step @p9331 :rule cong :premises (@p9330) :args (@t4996)) % 1.31/1.55 (step @p9332 :rule exists-elim :args ((= (exists @t41 @t4994) @t4996))) % 1.31/1.55 (step @p9333 :rule trans :premises (@p9332 @p9331)) % 1.31/1.55 (step @p9334 :rule bool-double-not-elim :args (@t2533)) % 1.31/1.55 (step @p9335 :rule nary_cong :premises (@p6121 @p936) :args (@t4997)) % 1.31/1.55 (step @p9336 :rule cong :premises (@p9335) :args ((forall @t9 @t4997))) % 1.31/1.55 (step @p9337 :rule bool-and-de-morgan :args (@t6 @t7 true)) % 1.31/1.55 (step @p9338 :rule cong :premises (@p9337) :args (@t4998)) % 1.31/1.55 (step @p9339 :rule trans :premises (@p9338 @p9336)) % 1.31/1.55 (step @p9340 :rule cong :premises (@p9339) :args (@t4999)) % 1.31/1.55 (step @p9341 :rule exists-elim :args ((= @t85 @t4999))) % 1.31/1.55 (step @p9342 :rule trans :premises (@p9341 @p9340)) % 1.31/1.55 (step @p9343 :rule cong :premises (@p9342) :args (@t86)) % 1.31/1.55 (step @p9344 :rule trans :premises (@p9343 @p9334)) % 1.31/1.55 (step @p9345 :rule refl :args (@t39)) % 1.31/1.55 (step @p9346 :rule nary_cong :premises (@p9345 @p9344) :args (@t87)) % 1.31/1.55 (step @p9347 :rule cong :premises (@p9346) :args (@t88)) % 1.31/1.55 (step @p9348 :rule trans :premises (@p9347 @p9333)) % 1.31/1.55 (step @p9349 :rule cong :premises (@p8312 @p9348) :args (@t90)) % 1.31/1.55 (step @p9350 :rule cong :premises (@p9349) :args (@t91)) % 1.31/1.55 (step @p9351 :rule trans :premises (@p9350 @p9324)) % 1.31/1.55 (step @p9352 :rule refl :args (tptp.foundationAx)) % 1.31/1.55 (step @p9353 :rule cong :premises (@p9352 @p9351) :args (@t92)) % 1.31/1.55 (step @p9354 :rule eq_resolve :premises (@p10 @p9353)) % 1.31/1.55 (step @p9355 :rule cong :premises (@p9354 @p9310) :args (@t5000)) % 1.31/1.55 (step @p9356 :rule bool-impl-elim :args (@t2552 @t2544)) % 1.31/1.55 (step @p9357 :rule cong :premises (@p9356) :args ((forall @t81 (=> @t2552 @t2544)))) % 1.31/1.55 (step @p9358 :rule exists-elim :args ((= (exists @t41 @t2543) @t2544))) % 1.31/1.55 (step @p9359 :rule refl :args (@t2542)) % 1.31/1.55 (step @p9360 :rule cong :premises (@p6098 @p9359) :args (@t5001)) % 1.31/1.55 (step @p9361 :rule cong :premises (@p9360) :args ((forall @t9 @t5001))) % 1.31/1.55 (step @p9362 :rule refl :args (@t2541)) % 1.31/1.55 (step @p9363 :rule refl :args (@t68)) % 1.31/1.55 (step @p9364 :rule cong :premises (@p9363 @p9362) :args ((= @t68 @t2541))) % 1.31/1.55 (step @p9365 :rule symm :premises (@p9364)) % 1.31/1.55 (step @p9366 :rule eq_resolve :premises (@p9363 @p9365)) % 1.31/1.55 (step @p9367 :rule cong :premises (@p9366) :args (@t5002)) % 1.31/1.55 (step @p9368 :rule nary_cong :premises (@p2265 @p9367) :args (@t5003)) % 1.31/1.55 (step @p9369 :rule cong :premises (@p9368) :args ((forall @t70 @t5003))) % 1.31/1.55 (step @p9370 :rule bool-and-de-morgan :args (@t21 @t68 true)) % 1.31/1.55 (step @p9371 :rule cong :premises (@p9370) :args (@t5004)) % 1.31/1.55 (step @p9372 :rule trans :premises (@p9371 @p9369)) % 1.31/1.55 (step @p9373 :rule cong :premises (@p9372) :args (@t5005)) % 1.31/1.55 (step @p9374 :rule exists-elim :args ((= @t71 @t5005))) % 1.31/1.55 (step @p9375 :rule trans :premises (@p9374 @p9373)) % 1.31/1.55 (step @p9376 :rule refl :args (@t6)) % 1.31/1.55 (step @p9377 :rule cong :premises (@p9376 @p9375) :args (@t72)) % 1.31/1.55 (step @p9378 :rule cong :premises (@p9377) :args (@t73)) % 1.31/1.55 (step @p9379 :rule trans :premises (@p9378 @p9361)) % 1.31/1.55 (step @p9380 :rule cong :premises (@p9379) :args (@t74)) % 1.31/1.55 (step @p9381 :rule trans :premises (@p9380 @p9358)) % 1.31/1.55 (step @p9382 :rule refl :args (@t2551)) % 1.31/1.55 (step @p9383 :rule nary_cong :premises (@p936 @p9382) :args (@t5006)) % 1.31/1.55 (step @p9384 :rule cong :premises (@p9383) :args ((forall @t9 @t5006))) % 1.31/1.55 (step @p9385 :rule bool-impl-elim :args (@t7 @t2551)) % 1.31/1.55 (step @p9386 :rule cong :premises (@p9385) :args ((forall @t9 (=> @t7 @t2551)))) % 1.31/1.55 (step @p9387 :rule trans :premises (@p9386 @p9384)) % 1.31/1.55 (step @p9388 :rule refl :args (@t2548)) % 1.31/1.55 (step @p9389 :rule refl :args (@t2549)) % 1.31/1.55 (step @p9390 :rule refl :args (@t5007)) % 1.31/1.55 (step @p9391 :rule cong :premises (@p9390 @p9389) :args ((= @t5007 @t2549))) % 1.31/1.55 (step @p9392 :rule symm :premises (@p9391)) % 1.31/1.55 (step @p9393 :rule eq_resolve :premises (@p9390 @p9392)) % 1.31/1.55 (step @p9394 :rule cong :premises (@p9393) :args (@t5008)) % 1.31/1.55 (step @p9395 :rule nary_cong :premises (@p9394 @p9388) :args (@t5009)) % 1.31/1.55 (step @p9396 :rule cong :premises (@p9395) :args ((forall @t2550 @t5009))) % 1.31/1.55 (step @p9397 :rule refl :args (@t2546)) % 1.31/1.55 (step @p9398 :rule nary_cong :premises (@p4605 @p9397) :args (@t5010)) % 1.31/1.55 (step @p9399 :rule cong :premises (@p9398) :args ((forall @t70 @t5010))) % 1.31/1.55 (step @p9400 :rule refl :args (@t2546)) % 1.31/1.55 (step @p9401 :rule beta-reduce :args ((= @t5011 @t76))) % 1.31/1.55 (step @p9402 :rule cong :premises (@p9401) :args (@t5012)) % 1.31/1.55 (step @p9403 :rule nary_cong :premises (@p9402 @p9400) :args (@t5013)) % 1.31/1.55 (step @p9404 :rule cong :premises (@p9403) :args (@t5014)) % 1.31/1.55 (step @p9405 :rule trans :premises (@p9404 @p9399)) % 1.31/1.55 (step @p9406 :rule cong :premises (@p9405) :args (@t5015)) % 1.31/1.55 (step @p9407 :rule beta-reduce :args ((= @t5016 @t5007))) % 1.31/1.55 (step @p9408 :rule cong :premises (@p9407) :args (@t5017)) % 1.31/1.55 (step @p9409 :rule nary_cong :premises (@p9408 @p9406) :args (@t5018)) % 1.31/1.55 (step @p9410 :rule cong :premises (@p9409) :args (@t5019)) % 1.31/1.55 (step @p9411 :rule trans :premises (@p9410 @p9396)) % 1.31/1.55 (step @p9412 :rule cong :premises (@p9411) :args (@t5020)) % 1.31/1.55 (step @p9413 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t2550 (or @t5021 (not (forall @t70 (or @t2103 @t2546))))))) @t77) @t5020))) % 1.31/1.55 (step @p9414 :rule trans :premises (@p9413 @p9412)) % 1.31/1.55 (step @p9415 :rule refl :args (@t77)) % 1.31/1.55 (step @p9416 :rule eq-symm :args (@t2545 @t19)) % 1.31/1.55 (step @p9417 :rule nary_cong :premises (@p7334 @p9416) :args (@t5022)) % 1.31/1.55 (step @p9418 :rule cong :premises (@p9417) :args (@t5023)) % 1.31/1.55 (step @p9419 :rule cong :premises (@p9418) :args (@t5024)) % 1.31/1.55 (step @p9420 :rule refl :args (@t5021)) % 1.31/1.55 (step @p9421 :rule nary_cong :premises (@p9420 @p9419) :args (@t5025)) % 1.31/1.55 (step @p9422 :rule cong :premises (@p9421) :args (@t5026)) % 1.31/1.55 (step @p9423 :rule cong :premises (@p9422) :args (@t5027)) % 1.31/1.55 (step @p9424 :rule cong :premises (@p9423) :args ((lambda @t150 @t5027))) % 1.31/1.55 (step @p9425 :rule ho_cong :premises (@p9424 @p9415)) % 1.31/1.55 (step @p9426 :rule trans :premises (@p9425 @p9414)) % 1.31/1.55 (step @p9427 :rule refl :args (@t77)) % 1.31/1.55 (step @p9428 :rule alpha_equiv :args (@t2337 @t2833 (@list @t2545))) % 1.31/1.55 (step @p9429 :rule cong :premises (@p9428) :args (@t2338)) % 1.31/1.55 (step @p9430 :rule cong :premises (@p9429) :args (@t4508)) % 1.31/1.55 (step @p9431 :rule ho_cong :premises (@p9430 @p9427)) % 1.31/1.55 (step @p9432 :rule trans :premises (@p9431 @p9426)) % 1.31/1.55 (step @p9433 :rule cong :premises (@p2271 @p9432) :args (@t5028)) % 1.31/1.55 (step @p9434 :rule cong :premises (@p9433) :args (@t5029)) % 1.31/1.55 (step @p9435 :rule trans :premises (@p9434 @p9387)) % 1.31/1.55 (step @p9436 :rule cong :premises (@p9435 @p9381) :args (@t5030)) % 1.31/1.55 (step @p9437 :rule cong :premises (@p9436) :args (@t5031)) % 1.31/1.55 (step @p9438 :rule trans :premises (@p9437 @p9357)) % 1.31/1.55 (step @p9439 :rule refl :args (tptp.replAx)) % 1.31/1.55 (step @p9440 :rule cong :premises (@p9439 @p9438) :args ((= tptp.replAx @t5031))) % 1.31/1.55 (step @p9441 :rule refl :args (@t74)) % 1.31/1.55 (step @p9442 :rule ho_cong :premises (@p7494 @p9415)) % 1.31/1.55 (step @p9443 :rule cong :premises (@p2271 @p9442) :args (@t78)) % 1.31/1.55 (step @p9444 :rule cong :premises (@p9443) :args (@t79)) % 1.31/1.55 (step @p9445 :rule cong :premises (@p9444 @p9441) :args (@t80)) % 1.31/1.55 (step @p9446 :rule cong :premises (@p9445) :args (@t82)) % 1.31/1.55 (step @p9447 :rule cong :premises (@p9439 @p9446) :args (@t83)) % 1.31/1.55 (step @p9448 :rule trans :premises (@p9447 @p9440)) % 1.31/1.55 (step @p9449 :rule eq_resolve :premises (@p9 @p9448)) % 1.31/1.55 (step @p9450 :rule cong :premises (@p9449 @p9355) :args (@t5032)) % 1.31/1.55 (step @p9451 :rule aci_norm :args ((= @t5034 @t2566))) % 1.31/1.55 (step @p9452 :rule cong :premises (@p9451) :args (@t5035)) % 1.31/1.55 (step @p9453 :rule quant-merge-prenex :args ((= (forall @t64 @t5037) @t5035))) % 1.31/1.55 (step @p9454 :rule alpha_equiv :args (@t5038 (@list @t2555) @t2833)) % 1.31/1.55 (step @p9455 :rule refl :args (@t2563)) % 1.31/1.55 (step @p9456 :rule refl :args (@t2565)) % 1.31/1.55 (step @p9457 :rule nary_cong :premises (@p9456 @p9455 @p9454) :args (@t5039)) % 1.31/1.55 (step @p9458 :rule quant-miniscope-or :args ((= @t5037 @t5039))) % 1.31/1.55 (step @p9459 :rule trans :premises (@p9458 @p9457)) % 1.31/1.55 (step @p9460 :rule symm :premises (@p9459)) % 1.31/1.55 (step @p9461 :rule cong :premises (@p9460) :args ((forall @t64 (or @t2565 @t2563 @t5040)))) % 1.31/1.55 (step @p9462 :rule trans :premises (@p9461 @p9453)) % 1.31/1.55 (step @p9463 :rule trans :premises (@p9462 @p9452)) % 1.31/1.55 (step @p9464 :rule refl :args (@t5040)) % 1.31/1.55 (step @p9465 :rule refl :args (@t2564)) % 1.31/1.55 (step @p9466 :rule refl :args (@t61)) % 1.31/1.55 (step @p9467 :rule cong :premises (@p9466 @p9465) :args ((= @t61 @t2564))) % 1.31/1.55 (step @p9468 :rule symm :premises (@p9467)) % 1.31/1.55 (step @p9469 :rule eq_resolve :premises (@p9466 @p9468)) % 1.31/1.55 (step @p9470 :rule cong :premises (@p9469) :args (@t5041)) % 1.31/1.55 (step @p9471 :rule nary_cong :premises (@p9470 @p9455 @p9464) :args (@t5042)) % 1.31/1.55 (step @p9472 :rule cong :premises (@p9471) :args ((forall @t64 @t5042))) % 1.31/1.55 (step @p9473 :rule trans :premises (@p9472 @p9463)) % 1.31/1.55 (step @p9474 :rule aci_norm :args ((= (or (or @t5041 @t2563) @t5040) @t5042))) % 1.31/1.55 (step @p9475 :rule bool-and-de-morgan :args (@t61 @t2562 true)) % 1.31/1.55 (step @p9476 :rule nary_cong :premises (@p9475 @p9464) :args ((or (not @t5043) @t5040))) % 1.31/1.55 (step @p9477 :rule trans :premises (@p9476 @p9474)) % 1.31/1.55 (step @p9478 :rule bool-impl-elim :args (@t5043 @t5040)) % 1.31/1.55 (step @p9479 :rule trans :premises (@p9478 @p9477)) % 1.31/1.55 (step @p9480 :rule cong :premises (@p9479) :args ((forall @t64 (=> @t5043 @t5040)))) % 1.31/1.55 (step @p9481 :rule trans :premises (@p9480 @p9473)) % 1.31/1.55 (step @p9482 :rule refl :args (@t2560)) % 1.31/1.55 (step @p9483 :rule refl :args (@t54)) % 1.31/1.55 (step @p9484 :rule cong :premises (@p9483 @p9482) :args ((= @t54 @t2560))) % 1.31/1.55 (step @p9485 :rule symm :premises (@p9484)) % 1.31/1.55 (step @p9486 :rule eq_resolve :premises (@p9483 @p9485)) % 1.31/1.55 (step @p9487 :rule cong :premises (@p9486) :args (@t5044)) % 1.31/1.55 (step @p9488 :rule nary_cong :premises (@p9487 @p935) :args (@t5045)) % 1.31/1.55 (step @p9489 :rule cong :premises (@p9488) :args ((forall @t9 @t5045))) % 1.31/1.55 (step @p9490 :rule bool-impl-elim :args (@t54 @t7)) % 1.31/1.55 (step @p9491 :rule cong :premises (@p9490) :args (@t57)) % 1.31/1.55 (step @p9492 :rule trans :premises (@p9491 @p9489)) % 1.31/1.55 (step @p9493 :rule refl :args ((tptp.in @t51 @t2))) % 1.31/1.55 (step @p9494 :rule refl :args (@t2558)) % 1.31/1.55 (step @p9495 :rule cong :premises (@p9494 @p983) :args (@t2559)) % 1.31/1.55 (step @p9496 :rule trans :premises (@p9495 @p9493)) % 1.31/1.55 (step @p9497 :rule ho_cong :premises (@p990 @p9494)) % 1.31/1.55 (step @p9498 :rule ho_cong :premises (@p9497 @p983)) % 1.31/1.55 (step @p9499 :rule cong :premises (@p9498 @p9496) :args ((= (_ @t5046 @t2) @t2559))) % 1.31/1.55 (step @p9500 :rule symm :premises (@p9499)) % 1.31/1.55 (step @p9501 :rule refl :args (@t58)) % 1.31/1.55 (step @p9502 :rule eq_resolve :premises (@p9501 @p9500)) % 1.31/1.55 (step @p9503 :rule refl :args (@t51)) % 1.31/1.55 (step @p9504 :rule cong :premises (@p9503 @p9494) :args ((= @t51 @t2558))) % 1.31/1.55 (step @p9505 :rule symm :premises (@p9504)) % 1.31/1.55 (step @p9506 :rule eq_resolve :premises (@p9503 @p9505)) % 1.31/1.55 (step @p9507 :rule ho_cong :premises (@p990 @p9506)) % 1.31/1.55 (step @p9508 :rule ho_cong :premises (@p9507 @p983)) % 1.31/1.55 (step @p9509 :rule trans :premises (@p9508 @p9502)) % 1.31/1.55 (step @p9510 :rule nary_cong :premises (@p9487 @p936 @p9509) :args (@t5047)) % 1.31/1.55 (step @p9511 :rule cong :premises (@p9510) :args ((forall @t9 @t5047))) % 1.31/1.55 (step @p9512 :rule aci_norm :args ((= (or (or @t5044 @t197) @t58) @t5047))) % 1.31/1.55 (step @p9513 :rule bool-and-de-morgan :args (@t54 @t7 true)) % 1.31/1.55 (step @p9514 :rule nary_cong :premises (@p9513 @p9501) :args ((or (not @t59) @t58))) % 1.31/1.55 (step @p9515 :rule trans :premises (@p9514 @p9512)) % 1.31/1.55 (step @p9516 :rule bool-impl-elim :args (@t59 @t58)) % 1.31/1.55 (step @p9517 :rule trans :premises (@p9516 @p9515)) % 1.31/1.55 (step @p9518 :rule cong :premises (@p9517) :args (@t60)) % 1.31/1.55 (step @p9519 :rule trans :premises (@p9518 @p9511)) % 1.31/1.55 (step @p9520 :rule refl :args (@t61)) % 1.31/1.55 (step @p9521 :rule nary_cong :premises (@p9520 @p9519) :args (@t62)) % 1.31/1.55 (step @p9522 :rule cong :premises (@p9521 @p9492) :args (@t63)) % 1.31/1.55 (step @p9523 :rule cong :premises (@p9522) :args (@t65)) % 1.31/1.55 (step @p9524 :rule trans :premises (@p9523 @p9481)) % 1.31/1.55 (step @p9525 :rule refl :args (tptp.omegaIndAx)) % 1.31/1.55 (step @p9526 :rule cong :premises (@p9525 @p9524) :args (@t66)) % 1.31/1.55 (step @p9527 :rule eq_resolve :premises (@p8 @p9526)) % 1.31/1.55 (step @p9528 :rule cong :premises (@p9527 @p9450) :args (@t5048)) % 1.31/1.55 (step @p9529 :rule refl :args ((tptp.in @t51 tptp.omega))) % 1.31/1.55 (step @p9530 :rule refl :args (tptp.omega)) % 1.31/1.55 (step @p9531 :rule cong :premises (@p9494 @p9530) :args (@t2570)) % 1.31/1.55 (step @p9532 :rule trans :premises (@p9531 @p9529)) % 1.31/1.55 (step @p9533 :rule ho_cong :premises (@p9497 @p9530)) % 1.31/1.55 (step @p9534 :rule cong :premises (@p9533 @p9532) :args ((= (_ @t5046 tptp.omega) @t2570))) % 1.31/1.55 (step @p9535 :rule symm :premises (@p9534)) % 1.31/1.55 (step @p9536 :rule refl :args (@t53)) % 1.31/1.55 (step @p9537 :rule eq_resolve :premises (@p9536 @p9535)) % 1.31/1.55 (step @p9538 :rule ho_cong :premises (@p9507 @p9530)) % 1.31/1.55 (step @p9539 :rule trans :premises (@p9538 @p9537)) % 1.31/1.55 (step @p9540 :rule nary_cong :premises (@p9487 @p9539) :args (@t5049)) % 1.31/1.55 (step @p9541 :rule cong :premises (@p9540) :args ((forall @t9 @t5049))) % 1.31/1.55 (step @p9542 :rule bool-impl-elim :args (@t54 @t53)) % 1.31/1.55 (step @p9543 :rule cong :premises (@p9542) :args (@t55)) % 1.31/1.55 (step @p9544 :rule trans :premises (@p9543 @p9541)) % 1.31/1.55 (step @p9545 :rule refl :args (tptp.omegaSAx)) % 1.31/1.55 (step @p9546 :rule cong :premises (@p9545 @p9544) :args (@t56)) % 1.31/1.55 (step @p9547 :rule eq_resolve :premises (@p7 @p9546)) % 1.31/1.55 (step @p9548 :rule cong :premises (@p9547 @p9528) :args (@t5050)) % 1.31/1.55 (step @p9549 :rule cong :premises (@p6 @p9548) :args (@t5051)) % 1.31/1.55 (step @p9550 :rule eq-symm :args (@t2123 @t2404)) % 1.31/1.55 (step @p9551 :rule cong :premises (@p9550) :args ((forall @t46 (= @t2123 @t2404)))) % 1.31/1.55 (step @p9552 :rule cong :premises (@p5545 @p8395) :args (@t5052)) % 1.31/1.55 (step @p9553 :rule cong :premises (@p9552) :args ((forall @t46 @t5052))) % 1.31/1.55 (step @p9554 :rule trans :premises (@p9553 @p9551)) % 1.31/1.55 (step @p9555 :rule bool-and-de-morgan :args (@t6 @t39 true)) % 1.31/1.55 (step @p9556 :rule cong :premises (@p9555) :args (@t5053)) % 1.31/1.55 (step @p9557 :rule trans :premises (@p9556 @p8428)) % 1.31/1.55 (step @p9558 :rule cong :premises (@p9557) :args (@t5054)) % 1.31/1.55 (step @p9559 :rule exists-elim :args ((= @t42 @t5054))) % 1.31/1.55 (step @p9560 :rule trans :premises (@p9559 @p9558)) % 1.31/1.55 (step @p9561 :rule cong :premises (@p5566 @p9560) :args (@t45)) % 1.31/1.55 (step @p9562 :rule cong :premises (@p9561) :args (@t47)) % 1.31/1.55 (step @p9563 :rule trans :premises (@p9562 @p9554)) % 1.31/1.55 (step @p9564 :rule refl :args (tptp.setunionAx)) % 1.31/1.55 (step @p9565 :rule cong :premises (@p9564 @p9563) :args (@t48)) % 1.31/1.55 (step @p9566 :rule eq_resolve :premises (@p5 @p9565)) % 1.31/1.55 (step @p9567 :rule cong :premises (@p9566 @p9549) :args (@t5055)) % 1.31/1.55 (step @p9568 :rule eq-symm :args (@t2268 @t2415)) % 1.31/1.55 (step @p9569 :rule cong :premises (@p9568) :args ((forall @t12 (= @t2268 @t2415)))) % 1.31/1.55 (step @p9570 :rule refl :args (@t2415)) % 1.31/1.55 (step @p9571 :rule cong :premises (@p6861 @p9570) :args (@t5056)) % 1.31/1.55 (step @p9572 :rule cong :premises (@p9571) :args ((forall @t12 @t5056))) % 1.31/1.55 (step @p9573 :rule trans :premises (@p9572 @p9569)) % 1.31/1.55 (step @p9574 :rule cong :premises (@p8512 @p8516) :args (@t36)) % 1.31/1.55 (step @p9575 :rule cong :premises (@p9574) :args (@t37)) % 1.31/1.55 (step @p9576 :rule trans :premises (@p9575 @p9573)) % 1.31/1.55 (step @p9577 :rule refl :args (tptp.powersetAx)) % 1.31/1.55 (step @p9578 :rule cong :premises (@p9577 @p9576) :args (@t38)) % 1.31/1.55 (step @p9579 :rule eq_resolve :premises (@p4 @p9578)) % 1.31/1.55 (step @p9580 :rule cong :premises (@p9579 @p9567) :args (@t5057)) % 1.31/1.55 (step @p9581 :rule nary_cong :premises (@p3950 @p2264) :args (@t4798)) % 1.31/1.55 (step @p9582 :rule cong :premises (@p8557 @p9581) :args (@t5058)) % 1.31/1.55 (step @p9583 :rule cong :premises (@p9582) :args ((forall @t28 @t5058))) % 1.31/1.55 (step @p9584 :rule cong :premises (@p8567 @p8566) :args (@t27)) % 1.31/1.55 (step @p9585 :rule cong :premises (@p9584) :args (@t29)) % 1.31/1.55 (step @p9586 :rule trans :premises (@p9585 @p9583)) % 1.31/1.55 (step @p9587 :rule refl :args (tptp.setadjoinAx)) % 1.31/1.55 (step @p9588 :rule cong :premises (@p9587 @p9586) :args (@t30)) % 1.31/1.55 (step @p9589 :rule eq_resolve :premises (@p3 @p9588)) % 1.31/1.55 (step @p9590 :rule cong :premises (@p9589 @p9580) :args (@t5059)) % 1.31/1.55 (step @p9591 :rule refl :args (tptp.emptysetAx)) % 1.31/1.55 (step @p9592 :rule cong :premises (@p9591 @p8867) :args (@t18)) % 1.31/1.55 (step @p9593 :rule eq_resolve :premises (@p2 @p9592)) % 1.31/1.55 (step @p9594 :rule cong :premises (@p9593 @p9590) :args (@t5060)) % 1.31/1.55 (step @p9595 :rule bool-impl-elim :args (@t2583 @t3)) % 1.31/1.55 (step @p9596 :rule cong :premises (@p9595) :args ((forall @t12 (=> @t2583 @t3)))) % 1.31/1.55 (step @p9597 :rule cong :premises (@p935 @p6098) :args (@t8)) % 1.31/1.55 (step @p9598 :rule cong :premises (@p9597) :args (@t10)) % 1.31/1.55 (step @p9599 :rule cong :premises (@p9598 @p7319) :args (@t11)) % 1.31/1.55 (step @p9600 :rule cong :premises (@p9599) :args (@t13)) % 1.31/1.55 (step @p9601 :rule trans :premises (@p9600 @p9596)) % 1.31/1.55 (step @p9602 :rule refl :args (tptp.setextAx)) % 1.31/1.55 (step @p9603 :rule cong :premises (@p9602 @p9601) :args (@t14)) % 1.31/1.55 (step @p9604 :rule eq_resolve :premises (@p1 @p9603)) % 1.31/1.55 (step @p9605 :rule cong :premises (@p9604 @p9594) :args (@t5061)) % 1.31/1.55 (step @p9606 :rule cong :premises (@p9605) :args ((not @t5061))) % 1.31/1.55 (step @p9607 :rule trans :premises (@p9606 @p766)) % 1.31/1.55 (step @p9608 :rule aci_norm :args ((= @t5063 @t1598))) % 1.31/1.55 (step @p9609 :rule cong :premises (@p9608) :args (@t5064)) % 1.31/1.55 (step @p9610 :rule quant-merge-prenex :args ((= (forall @t1138 @t5066) @t5064))) % 1.31/1.55 (step @p9611 :rule alpha_equiv :args (@t5067 (@list @t1591 @t1589) (@list @t1129 @t5068))) % 1.31/1.55 (step @p9612 :rule nary_cong :premises (@p772 @p9611) :args (@t5069)) % 1.31/1.55 (step @p9613 :rule quant-miniscope-or :args ((= @t5066 @t5069))) % 1.31/1.55 (step @p9614 :rule trans :premises (@p9613 @p9612)) % 1.31/1.55 (step @p9615 :rule symm :premises (@p9614)) % 1.31/1.55 (step @p9616 :rule cong :premises (@p9615) :args ((forall @t1138 (or @t1597 @t5075)))) % 1.31/1.55 (step @p9617 :rule trans :premises (@p9616 @p9610)) % 1.31/1.55 (step @p9618 :rule trans :premises (@p9617 @p9609)) % 1.31/1.55 (step @p9619 :rule refl :args (@t5075)) % 1.31/1.55 (step @p9620 :rule nary_cong :premises (@p798 @p9619) :args (@t5076)) % 1.31/1.55 (step @p9621 :rule cong :premises (@p9620) :args ((forall @t1138 @t5076))) % 1.31/1.55 (step @p9622 :rule trans :premises (@p9621 @p9618)) % 1.31/1.55 (step @p9623 :rule bool-impl-elim :args (@t1136 @t5075)) % 1.31/1.55 (step @p9624 :rule cong :premises (@p9623) :args ((forall @t1138 (=> @t1136 @t5075)))) % 1.31/1.55 (step @p9625 :rule trans :premises (@p9624 @p9622)) % 1.31/1.55 (step @p9626 :rule aci_norm :args ((= @t5078 @t5073))) % 1.31/1.55 (step @p9627 :rule cong :premises (@p9626) :args (@t5079)) % 1.31/1.55 (step @p9628 :rule quant-merge-prenex :args ((= (forall @t1134 @t5081) @t5079))) % 1.31/1.55 (step @p9629 :rule alpha_equiv :args (@t5082 (@list @t5068) @t2833)) % 1.31/1.55 (step @p9630 :rule nary_cong :premises (@p893 @p9629) :args (@t5083)) % 1.31/1.55 (step @p9631 :rule quant-miniscope-or :args ((= @t5081 @t5083))) % 1.31/1.55 (step @p9632 :rule trans :premises (@p9631 @p9630)) % 1.31/1.55 (step @p9633 :rule symm :premises (@p9632)) % 1.31/1.55 (step @p9634 :rule cong :premises (@p9633) :args ((forall @t1134 (or @t2804 @t5085)))) % 1.31/1.55 (step @p9635 :rule trans :premises (@p9634 @p9628)) % 1.31/1.55 (step @p9636 :rule trans :premises (@p9635 @p9627)) % 1.31/1.55 (step @p9637 :rule refl :args (@t5085)) % 1.31/1.55 (step @p9638 :rule nary_cong :premises (@p850 @p9637) :args (@t5086)) % 1.31/1.55 (step @p9639 :rule cong :premises (@p9638) :args ((forall @t1134 @t5086))) % 1.31/1.55 (step @p9640 :rule trans :premises (@p9639 @p9636)) % 1.31/1.55 (step @p9641 :rule bool-impl-elim :args (@t1133 @t5085)) % 1.31/1.55 (step @p9642 :rule cong :premises (@p9641) :args ((forall @t1134 (=> @t1133 @t5085)))) % 1.31/1.55 (step @p9643 :rule trans :premises (@p9642 @p9640)) % 1.31/1.55 (step @p9644 :rule refl :args ((tptp.in @t4 @t1141))) % 1.31/1.55 (step @p9645 :rule cong :premises (@p914 @p2138) :args (@t5084)) % 1.31/1.55 (step @p9646 :rule trans :premises (@p9645 @p9644)) % 1.31/1.55 (step @p9647 :rule ho_cong :premises (@p917 @p2138)) % 1.31/1.55 (step @p9648 :rule cong :premises (@p9647 @p9646) :args ((= (_ @t5 @t3226) @t5084))) % 1.31/1.55 (step @p9649 :rule symm :premises (@p9648)) % 1.31/1.55 (step @p9650 :rule refl :args (@t1321)) % 1.31/1.55 (step @p9651 :rule eq_resolve :premises (@p9650 @p9649)) % 1.31/1.55 (step @p9652 :rule ho_cong :premises (@p917 @p2150)) % 1.31/1.55 (step @p9653 :rule trans :premises (@p9652 @p9651)) % 1.31/1.55 (step @p9654 :rule nary_cong :premises (@p936 @p9653 @p1338) :args (@t5087)) % 1.31/1.55 (step @p9655 :rule cong :premises (@p9654) :args ((forall @t9 @t5087))) % 1.31/1.55 (step @p9656 :rule aci_norm :args ((= (or @t197 (or @t1321 @t1213)) @t5087))) % 1.31/1.55 (step @p9657 :rule bool-double-not-elim :args (@t1321)) % 1.31/1.55 (step @p9658 :rule nary_cong :premises (@p9657 @p1495) :args ((or (not @t1322) @t1213))) % 1.31/1.55 (step @p9659 :rule bool-impl-elim :args (@t1322 @t1213)) % 1.31/1.55 (step @p9660 :rule trans :premises (@p9659 @p9658)) % 1.31/1.55 (step @p9661 :rule nary_cong :premises (@p941 @p9660) :args ((or @t197 @t1323))) % 1.31/1.55 (step @p9662 :rule trans :premises (@p9661 @p9656)) % 1.31/1.55 (step @p9663 :rule bool-impl-elim :args (@t7 @t1323)) % 1.31/1.55 (step @p9664 :rule trans :premises (@p9663 @p9662)) % 1.31/1.55 (step @p9665 :rule cong :premises (@p9664) :args (@t1324)) % 1.31/1.55 (step @p9666 :rule trans :premises (@p9665 @p9655)) % 1.31/1.55 (step @p9667 :rule cong :premises (@p950 @p9666) :args (@t1325)) % 1.31/1.55 (step @p9668 :rule cong :premises (@p9667) :args (@t1326)) % 1.31/1.55 (step @p9669 :rule trans :premises (@p9668 @p9643)) % 1.31/1.55 (step @p9670 :rule cong :premises (@p862 @p9669) :args (@t1327)) % 1.31/1.55 (step @p9671 :rule cong :premises (@p9670) :args (@t1328)) % 1.31/1.55 (step @p9672 :rule trans :premises (@p9671 @p9625)) % 1.31/1.55 (step @p9673 :rule cong :premises (@p866 @p9672) :args (@t1329)) % 1.31/1.55 (step @p9674 :rule cong :premises (@p957 @p9673) :args (@t1330)) % 1.31/1.55 (step @p9675 :rule cong :premises (@p1028 @p9674) :args (@t1331)) % 1.31/1.55 (step @p9676 :rule cong :premises (@p1071 @p9675) :args (@t1332)) % 1.31/1.55 (step @p9677 :rule cong :premises (@p1138 @p9676) :args (@t1333)) % 1.31/1.55 (step @p9678 :rule cong :premises (@p1205 @p9677) :args (@t1334)) % 1.31/1.55 (step @p9679 :rule cong :premises (@p1225 @p9678) :args (@t1335)) % 1.31/1.55 (step @p9680 :rule cong :premises (@p1246 @p9679) :args (@t1336)) % 1.31/1.55 (step @p9681 :rule cong :premises (@p1265 @p9680) :args (@t1337)) % 1.31/1.55 (step @p9682 :rule cong :premises (@p1316 @p9681) :args (@t1338)) % 1.31/1.55 (step @p9683 :rule cong :premises (@p1352 @p9682) :args (@t1339)) % 1.31/1.55 (step @p9684 :rule cong :premises (@p1405 @p9683) :args (@t1340)) % 1.31/1.55 (step @p9685 :rule cong :premises (@p1441 @p9684) :args (@t1341)) % 1.31/1.55 (step @p9686 :rule cong :premises (@p1517 @p9685) :args (@t1342)) % 1.31/1.55 (step @p9687 :rule cong :premises (@p1588 @p9686) :args (@t1343)) % 1.31/1.55 (step @p9688 :rule cong :premises (@p1647 @p9687) :args (@t1344)) % 1.31/1.55 (step @p9689 :rule cong :premises (@p1706 @p9688) :args (@t1345)) % 1.31/1.55 (step @p9690 :rule cong :premises (@p1744 @p9689) :args (@t1346)) % 1.31/1.55 (step @p9691 :rule cong :premises (@p1779 @p9690) :args (@t1347)) % 1.31/1.55 (step @p9692 :rule cong :premises (@p1867 @p9691) :args (@t1348)) % 1.31/1.55 (step @p9693 :rule cong :premises (@p1915 @p9692) :args (@t1349)) % 1.31/1.55 (step @p9694 :rule cong :premises (@p1955 @p9693) :args (@t1350)) % 1.31/1.55 (step @p9695 :rule cong :premises (@p2013 @p9694) :args (@t1351)) % 1.31/1.55 (step @p9696 :rule cong :premises (@p2032 @p9695) :args (@t1352)) % 1.31/1.55 (step @p9697 :rule cong :premises (@p2079 @p9696) :args (@t1353)) % 1.31/1.55 (step @p9698 :rule cong :premises (@p2115 @p9697) :args (@t1354)) % 1.31/1.55 (step @p9699 :rule cong :premises (@p2162 @p9698) :args (@t1355)) % 1.31/1.55 (step @p9700 :rule cong :premises (@p2204 @p9699) :args (@t1356)) % 1.31/1.55 (step @p9701 :rule cong :premises (@p2275 @p9700) :args (@t1357)) % 1.31/1.55 (step @p9702 :rule cong :premises (@p2356 @p9701) :args (@t1358)) % 1.31/1.55 (step @p9703 :rule cong :premises (@p2432 @p9702) :args (@t1359)) % 1.31/1.55 (step @p9704 :rule cong :premises (@p2486 @p9703) :args (@t1360)) % 1.31/1.55 (step @p9705 :rule cong :premises (@p2526 @p9704) :args (@t1361)) % 1.31/1.55 (step @p9706 :rule cong :premises (@p2596 @p9705) :args (@t1362)) % 1.31/1.55 (step @p9707 :rule cong :premises (@p2693 @p9706) :args (@t1363)) % 1.31/1.55 (step @p9708 :rule cong :premises (@p2790 @p9707) :args (@t1364)) % 1.31/1.55 (step @p9709 :rule cong :premises (@p2886 @p9708) :args (@t1365)) % 1.31/1.55 (step @p9710 :rule cong :premises (@p2987 @p9709) :args (@t1366)) % 1.31/1.55 (step @p9711 :rule cong :premises (@p3039 @p9710) :args (@t1367)) % 1.31/1.55 (step @p9712 :rule cong :premises (@p3044 @p9711) :args (@t1368)) % 1.31/1.55 (step @p9713 :rule cong :premises (@p3149 @p9712) :args (@t1369)) % 1.31/1.55 (step @p9714 :rule cong :premises (@p3170 @p9713) :args (@t1370)) % 1.31/1.55 (step @p9715 :rule cong :premises (@p3174 @p9714) :args (@t1371)) % 1.31/1.55 (step @p9716 :rule cong :premises (@p3193 @p9715) :args (@t1372)) % 1.31/1.55 (step @p9717 :rule cong :premises (@p3206 @p9716) :args (@t1373)) % 1.31/1.55 (step @p9718 :rule cong :premises (@p3277 @p9717) :args (@t1374)) % 1.31/1.55 (step @p9719 :rule cong :premises (@p3323 @p9718) :args (@t1375)) % 1.31/1.55 (step @p9720 :rule cong :premises (@p3515 @p9719) :args (@t1376)) % 1.31/1.55 (step @p9721 :rule cong :premises (@p3571 @p9720) :args (@t1377)) % 1.31/1.55 (step @p9722 :rule cong :premises (@p3665 @p9721) :args (@t1378)) % 1.31/1.55 (step @p9723 :rule cong :premises (@p3760 @p9722) :args (@t1379)) % 1.31/1.55 (step @p9724 :rule cong :premises (@p3791 @p9723) :args (@t1380)) % 1.31/1.55 (step @p9725 :rule cong :premises (@p3844 @p9724) :args (@t1381)) % 1.31/1.55 (step @p9726 :rule cong :premises (@p3868 @p9725) :args (@t1382)) % 1.31/1.55 (step @p9727 :rule cong :premises (@p3996 @p9726) :args (@t1383)) % 1.31/1.55 (step @p9728 :rule cong :premises (@p4099 @p9727) :args (@t1384)) % 1.31/1.55 (step @p9729 :rule cong :premises (@p4108 @p9728) :args (@t1385)) % 1.31/1.55 (step @p9730 :rule cong :premises (@p4155 @p9729) :args (@t1386)) % 1.31/1.55 (step @p9731 :rule cong :premises (@p4183 @p9730) :args (@t1387)) % 1.31/1.55 (step @p9732 :rule cong :premises (@p4226 @p9731) :args (@t1388)) % 1.31/1.55 (step @p9733 :rule cong :premises (@p4235 @p9732) :args (@t1389)) % 1.31/1.55 (step @p9734 :rule cong :premises (@p4277 @p9733) :args (@t1390)) % 1.31/1.55 (step @p9735 :rule cong :premises (@p4286 @p9734) :args (@t1391)) % 1.31/1.55 (step @p9736 :rule cong :premises (@p4310 @p9735) :args (@t1392)) % 1.31/1.55 (step @p9737 :rule cong :premises (@p4376 @p9736) :args (@t1393)) % 1.31/1.55 (step @p9738 :rule cong :premises (@p4416 @p9737) :args (@t1394)) % 1.31/1.55 (step @p9739 :rule cong :premises (@p4467 @p9738) :args (@t1395)) % 1.31/1.55 (step @p9740 :rule cong :premises (@p4480 @p9739) :args (@t1396)) % 1.31/1.55 (step @p9741 :rule cong :premises (@p4493 @p9740) :args (@t1397)) % 1.31/1.55 (step @p9742 :rule cong :premises (@p4531 @p9741) :args (@t1398)) % 1.31/1.55 (step @p9743 :rule cong :premises (@p4572 @p9742) :args (@t1399)) % 1.31/1.55 (step @p9744 :rule cong :premises (@p4580 @p9743) :args (@t1400)) % 1.31/1.55 (step @p9745 :rule cong :premises (@p4620 @p9744) :args (@t1401)) % 1.31/1.55 (step @p9746 :rule cong :premises (@p4671 @p9745) :args (@t1402)) % 1.31/1.55 (step @p9747 :rule cong :premises (@p4717 @p9746) :args (@t1403)) % 1.31/1.55 (step @p9748 :rule cong :premises (@p4763 @p9747) :args (@t1404)) % 1.31/1.55 (step @p9749 :rule cong :premises (@p4781 @p9748) :args (@t1405)) % 1.31/1.55 (step @p9750 :rule cong :premises (@p4803 @p9749) :args (@t1406)) % 1.31/1.55 (step @p9751 :rule cong :premises (@p4812 @p9750) :args (@t1407)) % 1.31/1.55 (step @p9752 :rule cong :premises (@p4833 @p9751) :args (@t1408)) % 1.31/1.55 (step @p9753 :rule cong :premises (@p4852 @p9752) :args (@t1409)) % 1.31/1.55 (step @p9754 :rule cong :premises (@p4859 @p9753) :args (@t1410)) % 1.31/1.55 (step @p9755 :rule cong :premises (@p4910 @p9754) :args (@t1411)) % 1.31/1.55 (step @p9756 :rule cong :premises (@p4927 @p9755) :args (@t1412)) % 1.31/1.55 (step @p9757 :rule cong :premises (@p5009 @p9756) :args (@t1413)) % 1.31/1.55 (step @p9758 :rule cong :premises (@p5020 @p9757) :args (@t1414)) % 1.31/1.55 (step @p9759 :rule cong :premises (@p5056 @p9758) :args (@t1415)) % 1.31/1.55 (step @p9760 :rule cong :premises (@p5096 @p9759) :args (@t1416)) % 1.31/1.55 (step @p9761 :rule cong :premises (@p5127 @p9760) :args (@t1417)) % 1.31/1.55 (step @p9762 :rule cong :premises (@p5137 @p9761) :args (@t1418)) % 1.31/1.55 (step @p9763 :rule cong :premises (@p5146 @p9762) :args (@t1419)) % 1.31/1.55 (step @p9764 :rule cong :premises (@p5167 @p9763) :args (@t1420)) % 1.31/1.55 (step @p9765 :rule cong :premises (@p5174 @p9764) :args (@t1421)) % 1.31/1.55 (step @p9766 :rule cong :premises (@p5195 @p9765) :args (@t1422)) % 1.31/1.55 (step @p9767 :rule cong :premises (@p5238 @p9766) :args (@t1423)) % 1.31/1.55 (step @p9768 :rule cong :premises (@p5260 @p9767) :args (@t1424)) % 1.31/1.55 (step @p9769 :rule cong :premises (@p5275 @p9768) :args (@t1425)) % 1.31/1.55 (step @p9770 :rule cong :premises (@p5324 @p9769) :args (@t1426)) % 1.31/1.55 (step @p9771 :rule cong :premises (@p5421 @p9770) :args (@t1427)) % 1.31/1.55 (step @p9772 :rule cong :premises (@p5446 @p9771) :args (@t1428)) % 1.31/1.55 (step @p9773 :rule cong :premises (@p5459 @p9772) :args (@t1429)) % 1.31/1.55 (step @p9774 :rule cong :premises (@p5478 @p9773) :args (@t1430)) % 1.31/1.55 (step @p9775 :rule cong :premises (@p5509 @p9774) :args (@t1431)) % 1.31/1.55 (step @p9776 :rule cong :premises (@p5526 @p9775) :args (@t1432)) % 1.31/1.55 (step @p9777 :rule cong :premises (@p5570 @p9776) :args (@t1433)) % 1.31/1.55 (step @p9778 :rule cong :premises (@p5579 @p9777) :args (@t1434)) % 1.31/1.55 (step @p9779 :rule cong :premises (@p5629 @p9778) :args (@t1435)) % 1.31/1.55 (step @p9780 :rule cong :premises (@p5659 @p9779) :args (@t1436)) % 1.31/1.55 (step @p9781 :rule cong :premises (@p5724 @p9780) :args (@t1437)) % 1.31/1.55 (step @p9782 :rule cong :premises (@p5766 @p9781) :args (@t1438)) % 1.31/1.55 (step @p9783 :rule cong :premises (@p5808 @p9782) :args (@t1439)) % 1.31/1.55 (step @p9784 :rule cong :premises (@p5850 @p9783) :args (@t1440)) % 1.31/1.55 (step @p9785 :rule cong :premises (@p5892 @p9784) :args (@t1441)) % 1.31/1.55 (step @p9786 :rule cong :premises (@p5897 @p9785) :args (@t1442)) % 1.31/1.55 (step @p9787 :rule cong :premises (@p5944 @p9786) :args (@t1443)) % 1.31/1.55 (step @p9788 :rule cong :premises (@p5963 @p9787) :args (@t1444)) % 1.31/1.55 (step @p9789 :rule cong :premises (@p5984 @p9788) :args (@t1445)) % 1.31/1.55 (step @p9790 :rule cong :premises (@p6000 @p9789) :args (@t1446)) % 1.31/1.55 (step @p9791 :rule cong :premises (@p6015 @p9790) :args (@t1447)) % 1.31/1.55 (step @p9792 :rule cong :premises (@p6040 @p9791) :args (@t1448)) % 1.31/1.55 (step @p9793 :rule cong :premises (@p6055 @p9792) :args (@t1449)) % 1.31/1.55 (step @p9794 :rule cong :premises (@p6060 @p9793) :args (@t1450)) % 1.31/1.55 (step @p9795 :rule cong :premises (@p6117 @p9794) :args (@t1451)) % 1.31/1.55 (step @p9796 :rule cong :premises (@p6132 @p9795) :args (@t1452)) % 1.31/1.55 (step @p9797 :rule cong :premises (@p6149 @p9796) :args (@t1453)) % 1.31/1.55 (step @p9798 :rule cong :premises (@p6165 @p9797) :args (@t1454)) % 1.31/1.55 (step @p9799 :rule cong :premises (@p6229 @p9798) :args (@t1455)) % 1.31/1.55 (step @p9800 :rule cong :premises (@p6255 @p9799) :args (@t1456)) % 1.31/1.55 (step @p9801 :rule cong :premises (@p6272 @p9800) :args (@t1457)) % 1.31/1.55 (step @p9802 :rule cong :premises (@p6292 @p9801) :args (@t1458)) % 1.31/1.55 (step @p9803 :rule cong :premises (@p6304 @p9802) :args (@t1459)) % 1.31/1.55 (step @p9804 :rule cong :premises (@p6324 @p9803) :args (@t1460)) % 1.31/1.55 (step @p9805 :rule cong :premises (@p6341 @p9804) :args (@t1461)) % 1.31/1.55 (step @p9806 :rule cong :premises (@p6354 @p9805) :args (@t1462)) % 1.31/1.55 (step @p9807 :rule cong :premises (@p6363 @p9806) :args (@t1463)) % 1.31/1.55 (step @p9808 :rule cong :premises (@p6372 @p9807) :args (@t1464)) % 1.31/1.55 (step @p9809 :rule cong :premises (@p6388 @p9808) :args (@t1465)) % 1.31/1.55 (step @p9810 :rule cong :premises (@p6433 @p9809) :args (@t1466)) % 1.31/1.55 (step @p9811 :rule cong :premises (@p6448 @p9810) :args (@t1467)) % 1.31/1.55 (step @p9812 :rule cong :premises (@p6469 @p9811) :args (@t1468)) % 1.31/1.55 (step @p9813 :rule cong :premises (@p6486 @p9812) :args (@t1469)) % 1.31/1.55 (step @p9814 :rule cong :premises (@p6512 @p9813) :args (@t1470)) % 1.31/1.55 (step @p9815 :rule cong :premises (@p6532 @p9814) :args (@t1471)) % 1.31/1.55 (step @p9816 :rule cong :premises (@p6545 @p9815) :args (@t1472)) % 1.31/1.55 (step @p9817 :rule cong :premises (@p6557 @p9816) :args (@t1473)) % 1.31/1.55 (step @p9818 :rule cong :premises (@p6572 @p9817) :args (@t1474)) % 1.31/1.55 (step @p9819 :rule cong :premises (@p6581 @p9818) :args (@t1475)) % 1.31/1.55 (step @p9820 :rule cong :premises (@p6620 @p9819) :args (@t1476)) % 1.31/1.55 (step @p9821 :rule cong :premises (@p6634 @p9820) :args (@t1477)) % 1.31/1.55 (step @p9822 :rule cong :premises (@p6650 @p9821) :args (@t1478)) % 1.31/1.55 (step @p9823 :rule cong :premises (@p6665 @p9822) :args (@t1479)) % 1.31/1.55 (step @p9824 :rule cong :premises (@p6687 @p9823) :args (@t1480)) % 1.31/1.55 (step @p9825 :rule cong :premises (@p6738 @p9824) :args (@t1481)) % 1.31/1.55 (step @p9826 :rule cong :premises (@p6747 @p9825) :args (@t1482)) % 1.31/1.55 (step @p9827 :rule cong :premises (@p6752 @p9826) :args (@t1483)) % 1.31/1.55 (step @p9828 :rule cong :premises (@p6764 @p9827) :args (@t1484)) % 1.31/1.55 (step @p9829 :rule cong :premises (@p6784 @p9828) :args (@t1485)) % 1.31/1.55 (step @p9830 :rule cong :premises (@p6805 @p9829) :args (@t1486)) % 1.31/1.55 (step @p9831 :rule cong :premises (@p6831 @p9830) :args (@t1487)) % 1.31/1.55 (step @p9832 :rule cong :premises (@p6847 @p9831) :args (@t1488)) % 1.31/1.55 (step @p9833 :rule cong :premises (@p6868 @p9832) :args (@t1489)) % 1.31/1.55 (step @p9834 :rule cong :premises (@p6877 @p9833) :args (@t1490)) % 1.31/1.55 (step @p9835 :rule cong :premises (@p6893 @p9834) :args (@t1491)) % 1.31/1.55 (step @p9836 :rule cong :premises (@p6909 @p9835) :args (@t1492)) % 1.31/1.55 (step @p9837 :rule cong :premises (@p6928 @p9836) :args (@t1493)) % 1.31/1.55 (step @p9838 :rule cong :premises (@p6952 @p9837) :args (@t1494)) % 1.31/1.55 (step @p9839 :rule cong :premises (@p6972 @p9838) :args (@t1495)) % 1.31/1.55 (step @p9840 :rule cong :premises (@p6997 @p9839) :args (@t1496)) % 1.31/1.55 (step @p9841 :rule cong :premises (@p7007 @p9840) :args (@t1497)) % 1.31/1.55 (step @p9842 :rule cong :premises (@p7049 @p9841) :args (@t1498)) % 1.31/1.55 (step @p9843 :rule cong :premises (@p7079 @p9842) :args (@t1499)) % 1.31/1.55 (step @p9844 :rule cong :premises (@p7095 @p9843) :args (@t1500)) % 1.31/1.55 (step @p9845 :rule cong :premises (@p7108 @p9844) :args (@t1501)) % 1.31/1.55 (step @p9846 :rule cong :premises (@p7121 @p9845) :args (@t1502)) % 1.31/1.55 (step @p9847 :rule cong :premises (@p7131 @p9846) :args (@t1503)) % 1.31/1.55 (step @p9848 :rule cong :premises (@p7136 @p9847) :args (@t1504)) % 1.31/1.55 (step @p9849 :rule cong :premises (@p7176 @p9848) :args (@t1505)) % 1.31/1.55 (step @p9850 :rule cong :premises (@p7196 @p9849) :args (@t1506)) % 1.31/1.55 (step @p9851 :rule cong :premises (@p7200 @p9850) :args (@t1507)) % 1.31/1.55 (step @p9852 :rule cong :premises (@p7323 @p9851) :args (@t1508)) % 1.31/1.55 (step @p9853 :rule cong :premises (@p7479 @p9852) :args (@t1509)) % 1.31/1.55 (step @p9854 :rule cong :premises (@p7541 @p9853) :args (@t1510)) % 1.31/1.55 (step @p9855 :rule cong :premises (@p7553 @p9854) :args (@t1511)) % 1.31/1.55 (step @p9856 :rule cong :premises (@p7590 @p9855) :args (@t1512)) % 1.31/1.55 (step @p9857 :rule cong :premises (@p7620 @p9856) :args (@t1513)) % 1.31/1.55 (step @p9858 :rule cong :premises (@p7691 @p9857) :args (@t1514)) % 1.31/1.55 (step @p9859 :rule cong :premises (@p7700 @p9858) :args (@t1515)) % 1.31/1.55 (step @p9860 :rule cong :premises (@p7712 @p9859) :args (@t1516)) % 1.31/1.55 (step @p9861 :rule cong :premises (@p7721 @p9860) :args (@t1517)) % 1.31/1.55 (step @p9862 :rule cong :premises (@p7782 @p9861) :args (@t1518)) % 1.31/1.55 (step @p9863 :rule cong :premises (@p7855 @p9862) :args (@t1519)) % 1.31/1.55 (step @p9864 :rule cong :premises (@p7901 @p9863) :args (@t1520)) % 1.31/1.55 (step @p9865 :rule cong :premises (@p7940 @p9864) :args (@t1521)) % 1.31/1.55 (step @p9866 :rule cong :premises (@p7963 @p9865) :args (@t1522)) % 1.31/1.55 (step @p9867 :rule cong :premises (@p7979 @p9866) :args (@t1523)) % 1.31/1.55 (step @p9868 :rule cong :premises (@p8020 @p9867) :args (@t1524)) % 1.31/1.55 (step @p9869 :rule cong :premises (@p8075 @p9868) :args (@t1525)) % 1.31/1.55 (step @p9870 :rule cong :premises (@p8106 @p9869) :args (@t1526)) % 1.31/1.55 (step @p9871 :rule cong :premises (@p8115 @p9870) :args (@t1527)) % 1.31/1.55 (step @p9872 :rule cong :premises (@p8123 @p9871) :args (@t1528)) % 1.31/1.55 (step @p9873 :rule cong :premises (@p8134 @p9872) :args (@t1529)) % 1.31/1.55 (step @p9874 :rule cong :premises (@p8142 @p9873) :args (@t1530)) % 1.31/1.55 (step @p9875 :rule cong :premises (@p8159 @p9874) :args (@t1531)) % 1.31/1.55 (step @p9876 :rule cong :premises (@p8198 @p9875) :args (@t1532)) % 1.31/1.55 (step @p9877 :rule cong :premises (@p8202 @p9876) :args (@t1533)) % 1.31/1.55 (step @p9878 :rule cong :premises (@p8217 @p9877) :args (@t1534)) % 1.31/1.55 (step @p9879 :rule cong :premises (@p8221 @p9878) :args (@t1535)) % 1.31/1.55 (step @p9880 :rule cong :premises (@p8251 @p9879) :args (@t1536)) % 1.31/1.55 (step @p9881 :rule cong :premises (@p8276 @p9880) :args (@t1537)) % 1.31/1.55 (step @p9882 :rule cong :premises (@p8290 @p9881) :args (@t1538)) % 1.31/1.55 (step @p9883 :rule cong :premises (@p8299 @p9882) :args (@t1539)) % 1.31/1.55 (step @p9884 :rule cong :premises (@p8320 @p9883) :args (@t1540)) % 1.31/1.55 (step @p9885 :rule cong :premises (@p8358 @p9884) :args (@t1541)) % 1.31/1.55 (step @p9886 :rule cong :premises (@p8391 @p9885) :args (@t1542)) % 1.31/1.55 (step @p9887 :rule cong :premises (@p8450 @p9886) :args (@t1543)) % 1.31/1.55 (step @p9888 :rule cong :premises (@p8464 @p9887) :args (@t1544)) % 1.31/1.55 (step @p9889 :rule cong :premises (@p8479 @p9888) :args (@t1545)) % 1.31/1.55 (step @p9890 :rule cong :premises (@p8484 @p9889) :args (@t1546)) % 1.31/1.55 (step @p9891 :rule cong :premises (@p8502 @p9890) :args (@t1547)) % 1.31/1.55 (step @p9892 :rule cong :premises (@p8520 @p9891) :args (@t1548)) % 1.31/1.55 (step @p9893 :rule cong :premises (@p8544 @p9892) :args (@t1549)) % 1.31/1.55 (step @p9894 :rule cong :premises (@p8571 @p9893) :args (@t1550)) % 1.31/1.55 (step @p9895 :rule cong :premises (@p8626 @p9894) :args (@t1551)) % 1.31/1.55 (step @p9896 :rule cong :premises (@p8635 @p9895) :args (@t1552)) % 1.31/1.55 (step @p9897 :rule refl :args (tptp.emptyinunitempty)) % 1.31/1.55 (step @p9898 :rule cong :premises (@p9897 @p9896) :args (@t1553)) % 1.31/1.55 (step @p9899 :rule cong :premises (@p8656 @p9898) :args (@t1554)) % 1.31/1.55 (step @p9900 :rule cong :premises (@p8696 @p9899) :args (@t1555)) % 1.31/1.55 (step @p9901 :rule cong :premises (@p8744 @p9900) :args (@t1556)) % 1.31/1.55 (step @p9902 :rule cong :premises (@p8758 @p9901) :args (@t1557)) % 1.31/1.55 (step @p9903 :rule cong :premises (@p8792 @p9902) :args (@t1558)) % 1.31/1.55 (step @p9904 :rule cong :premises (@p8797 @p9903) :args (@t1559)) % 1.31/1.55 (step @p9905 :rule cong :premises (@p8810 @p9904) :args (@t1560)) % 1.31/1.55 (step @p9906 :rule cong :premises (@p8825 @p9905) :args (@t1561)) % 1.31/1.55 (step @p9907 :rule cong :premises (@p8857 @p9906) :args (@t1562)) % 1.31/1.55 (step @p9908 :rule cong :premises (@p8866 @p9907) :args (@t1563)) % 1.31/1.55 (step @p9909 :rule cong :premises (@p8877 @p9908) :args (@t1564)) % 1.31/1.55 (step @p9910 :rule cong :premises (@p8892 @p9909) :args (@t1565)) % 1.31/1.55 (step @p9911 :rule cong :premises (@p8928 @p9910) :args (@t1566)) % 1.31/1.55 (step @p9912 :rule cong :premises (@p8937 @p9911) :args (@t1567)) % 1.31/1.55 (step @p9913 :rule cong :premises (@p8957 @p9912) :args (@t1568)) % 1.31/1.55 (step @p9914 :rule cong :premises (@p8969 @p9913) :args (@t1569)) % 1.31/1.55 (step @p9915 :rule cong :premises (@p8986 @p9914) :args (@t1570)) % 1.31/1.55 (step @p9916 :rule cong :premises (@p9036 @p9915) :args (@t1571)) % 1.31/1.55 (step @p9917 :rule cong :premises (@p9307 @p9916) :args (@t1572)) % 1.31/1.55 (step @p9918 :rule cong :premises (@p9352 @p9917) :args (@t1573)) % 1.31/1.55 (step @p9919 :rule cong :premises (@p9439 @p9918) :args (@t1574)) % 1.31/1.55 (step @p9920 :rule cong :premises (@p9525 @p9919) :args (@t1575)) % 1.31/1.55 (step @p9921 :rule cong :premises (@p9545 @p9920) :args (@t1576)) % 1.31/1.55 (step @p9922 :rule refl :args (tptp.omega0Ax)) % 1.31/1.55 (step @p9923 :rule cong :premises (@p9922 @p9921) :args (@t1577)) % 1.31/1.55 (step @p9924 :rule cong :premises (@p9564 @p9923) :args (@t1578)) % 1.31/1.55 (step @p9925 :rule cong :premises (@p9577 @p9924) :args (@t1579)) % 1.31/1.55 (step @p9926 :rule cong :premises (@p9587 @p9925) :args (@t1580)) % 1.31/1.55 (step @p9927 :rule cong :premises (@p9591 @p9926) :args (@t1581)) % 1.31/1.55 (step @p9928 :rule cong :premises (@p9602 @p9927) :args (@t1582)) % 1.31/1.55 (step @p9929 :rule cong :premises (@p9928) :args (@t1583)) % 1.31/1.55 (step @p9930 :rule trans :premises (@p9929 @p9607 @p386)) % 1.31/1.55 (step @p9931 :rule eq_resolve :premises (@p255 @p9930)) % 1.31/1.55 (step @p9932 :rule not_implies_elim2 :premises (@p9931)) % 1.31/1.55 (step @p9933 :rule not_implies_elim2 :premises (@p9932)) % 1.31/1.55 (step @p9934 :rule not_implies_elim2 :premises (@p9933)) % 1.31/1.55 (step @p9935 :rule not_implies_elim2 :premises (@p9934)) % 1.31/1.55 (step @p9936 :rule not_implies_elim2 :premises (@p9935)) % 1.31/1.55 (step @p9937 :rule not_implies_elim2 :premises (@p9936)) % 1.31/1.55 (step @p9938 :rule not_implies_elim2 :premises (@p9937)) % 1.31/1.55 (step @p9939 :rule not_implies_elim2 :premises (@p9938)) % 1.31/1.55 (step @p9940 :rule not_implies_elim2 :premises (@p9939)) % 1.31/1.55 (step @p9941 :rule not_implies_elim2 :premises (@p9940)) % 1.31/1.55 (step @p9942 :rule not_implies_elim2 :premises (@p9941)) % 1.31/1.55 (step @p9943 :rule not_implies_elim2 :premises (@p9942)) % 1.31/1.55 (step @p9944 :rule not_implies_elim2 :premises (@p9943)) % 1.31/1.55 (step @p9945 :rule not_implies_elim2 :premises (@p9944)) % 1.31/1.55 (step @p9946 :rule not_implies_elim2 :premises (@p9945)) % 1.31/1.55 (step @p9947 :rule not_implies_elim2 :premises (@p9946)) % 1.31/1.55 (step @p9948 :rule not_implies_elim2 :premises (@p9947)) % 1.31/1.55 (step @p9949 :rule not_implies_elim2 :premises (@p9948)) % 1.31/1.55 (step @p9950 :rule not_implies_elim2 :premises (@p9949)) % 1.31/1.55 (step @p9951 :rule not_implies_elim2 :premises (@p9950)) % 1.31/1.55 (step @p9952 :rule not_implies_elim2 :premises (@p9951)) % 1.31/1.55 (step @p9953 :rule not_implies_elim2 :premises (@p9952)) % 1.31/1.55 (step @p9954 :rule not_implies_elim2 :premises (@p9953)) % 1.31/1.55 (step @p9955 :rule not_implies_elim2 :premises (@p9954)) % 1.31/1.55 (step @p9956 :rule not_implies_elim2 :premises (@p9955)) % 1.31/1.55 (step @p9957 :rule not_implies_elim2 :premises (@p9956)) % 1.31/1.55 (step @p9958 :rule not_implies_elim2 :premises (@p9957)) % 1.31/1.55 (step @p9959 :rule not_implies_elim2 :premises (@p9958)) % 1.31/1.55 (step @p9960 :rule not_implies_elim2 :premises (@p9959)) % 1.31/1.55 (step @p9961 :rule not_implies_elim2 :premises (@p9960)) % 1.31/1.55 (step @p9962 :rule not_implies_elim2 :premises (@p9961)) % 1.31/1.55 (step @p9963 :rule not_implies_elim2 :premises (@p9962)) % 1.31/1.55 (step @p9964 :rule not_implies_elim2 :premises (@p9963)) % 1.31/1.55 (step @p9965 :rule not_implies_elim2 :premises (@p9964)) % 1.31/1.55 (step @p9966 :rule not_implies_elim2 :premises (@p9965)) % 1.31/1.55 (step @p9967 :rule not_implies_elim2 :premises (@p9966)) % 1.31/1.55 (step @p9968 :rule not_implies_elim2 :premises (@p9967)) % 1.31/1.55 (step @p9969 :rule not_implies_elim2 :premises (@p9968)) % 1.31/1.55 (step @p9970 :rule not_implies_elim2 :premises (@p9969)) % 1.31/1.55 (step @p9971 :rule not_implies_elim2 :premises (@p9970)) % 1.31/1.55 (step @p9972 :rule not_implies_elim2 :premises (@p9971)) % 1.31/1.55 (step @p9973 :rule not_implies_elim2 :premises (@p9972)) % 1.31/1.55 (step @p9974 :rule not_implies_elim2 :premises (@p9973)) % 1.31/1.55 (step @p9975 :rule not_implies_elim2 :premises (@p9974)) % 1.31/1.55 (step @p9976 :rule not_implies_elim2 :premises (@p9975)) % 1.31/1.55 (step @p9977 :rule not_implies_elim2 :premises (@p9976)) % 1.31/1.55 (step @p9978 :rule not_implies_elim2 :premises (@p9977)) % 1.31/1.55 (step @p9979 :rule not_implies_elim2 :premises (@p9978)) % 1.31/1.55 (step @p9980 :rule not_implies_elim2 :premises (@p9979)) % 1.31/1.55 (step @p9981 :rule not_implies_elim2 :premises (@p9980)) % 1.31/1.55 (step @p9982 :rule not_implies_elim2 :premises (@p9981)) % 1.31/1.55 (step @p9983 :rule not_implies_elim2 :premises (@p9982)) % 1.31/1.55 (step @p9984 :rule not_implies_elim2 :premises (@p9983)) % 1.31/1.55 (step @p9985 :rule not_implies_elim2 :premises (@p9984)) % 1.31/1.55 (step @p9986 :rule not_implies_elim2 :premises (@p9985)) % 1.31/1.55 (step @p9987 :rule not_implies_elim2 :premises (@p9986)) % 1.31/1.55 (step @p9988 :rule not_implies_elim2 :premises (@p9987)) % 1.31/1.55 (step @p9989 :rule not_implies_elim2 :premises (@p9988)) % 1.31/1.55 (step @p9990 :rule not_implies_elim2 :premises (@p9989)) % 1.31/1.55 (step @p9991 :rule not_implies_elim2 :premises (@p9990)) % 1.31/1.55 (step @p9992 :rule not_implies_elim2 :premises (@p9991)) % 1.31/1.55 (step @p9993 :rule not_implies_elim2 :premises (@p9992)) % 1.31/1.55 (step @p9994 :rule not_implies_elim2 :premises (@p9993)) % 1.31/1.55 (step @p9995 :rule not_implies_elim2 :premises (@p9994)) % 1.31/1.55 (step @p9996 :rule not_implies_elim2 :premises (@p9995)) % 1.31/1.55 (step @p9997 :rule not_implies_elim2 :premises (@p9996)) % 1.31/1.55 (step @p9998 :rule not_implies_elim2 :premises (@p9997)) % 1.31/1.55 (step @p9999 :rule not_implies_elim2 :premises (@p9998)) % 1.31/1.55 (step @p10000 :rule not_implies_elim2 :premises (@p9999)) % 1.31/1.55 (step @p10001 :rule not_implies_elim2 :premises (@p10000)) % 1.31/1.55 (step @p10002 :rule not_implies_elim2 :premises (@p10001)) % 1.31/1.55 (step @p10003 :rule not_implies_elim2 :premises (@p10002)) % 1.31/1.55 (step @p10004 :rule not_implies_elim2 :premises (@p10003)) % 1.31/1.55 (step @p10005 :rule not_implies_elim2 :premises (@p10004)) % 1.31/1.55 (step @p10006 :rule not_implies_elim2 :premises (@p10005)) % 1.31/1.55 (step @p10007 :rule not_implies_elim2 :premises (@p10006)) % 1.31/1.55 (step @p10008 :rule not_implies_elim2 :premises (@p10007)) % 1.31/1.55 (step @p10009 :rule not_implies_elim2 :premises (@p10008)) % 1.31/1.55 (step @p10010 :rule not_implies_elim2 :premises (@p10009)) % 1.31/1.55 (step @p10011 :rule not_implies_elim2 :premises (@p10010)) % 1.31/1.55 (step @p10012 :rule not_implies_elim2 :premises (@p10011)) % 1.31/1.55 (step @p10013 :rule not_implies_elim2 :premises (@p10012)) % 1.31/1.55 (step @p10014 :rule not_implies_elim1 :premises (@p10013)) % 1.31/1.55 (step @p10015 :rule not_implies_elim2 :premises (@p10013)) % 1.31/1.55 (step @p10016 :rule not_implies_elim2 :premises (@p10015)) % 1.31/1.55 (step @p10017 :rule not_implies_elim2 :premises (@p10016)) % 1.31/1.55 (step @p10018 :rule not_implies_elim2 :premises (@p10017)) % 1.31/1.55 (step @p10019 :rule not_implies_elim2 :premises (@p10018)) % 1.31/1.55 (step @p10020 :rule not_implies_elim2 :premises (@p10019)) % 1.31/1.55 (step @p10021 :rule not_implies_elim2 :premises (@p10020)) % 1.31/1.55 (step @p10022 :rule not_implies_elim2 :premises (@p10021)) % 1.31/1.55 (step @p10023 :rule not_implies_elim2 :premises (@p10022)) % 1.31/1.55 (step @p10024 :rule not_implies_elim2 :premises (@p10023)) % 1.31/1.55 (step @p10025 :rule not_implies_elim2 :premises (@p10024)) % 1.31/1.55 (step @p10026 :rule not_implies_elim2 :premises (@p10025)) % 1.31/1.55 (step @p10027 :rule not_implies_elim2 :premises (@p10026)) % 1.31/1.55 (step @p10028 :rule not_implies_elim2 :premises (@p10027)) % 1.31/1.55 (step @p10029 :rule not_implies_elim2 :premises (@p10028)) % 1.31/1.55 (step @p10030 :rule not_implies_elim2 :premises (@p10029)) % 1.31/1.55 (step @p10031 :rule not_implies_elim2 :premises (@p10030)) % 1.31/1.55 (step @p10032 :rule not_implies_elim2 :premises (@p10031)) % 1.31/1.55 (step @p10033 :rule not_implies_elim2 :premises (@p10032)) % 1.31/1.55 (step @p10034 :rule not_implies_elim2 :premises (@p10033)) % 1.31/1.55 (step @p10035 :rule not_implies_elim2 :premises (@p10034)) % 1.31/1.55 (step @p10036 :rule not_implies_elim2 :premises (@p10035)) % 1.31/1.55 (step @p10037 :rule not_implies_elim2 :premises (@p10036)) % 1.31/1.55 (step @p10038 :rule not_implies_elim2 :premises (@p10037)) % 1.31/1.55 (step @p10039 :rule not_implies_elim2 :premises (@p10038)) % 1.31/1.55 (step @p10040 :rule not_implies_elim2 :premises (@p10039)) % 1.31/1.55 (step @p10041 :rule not_implies_elim2 :premises (@p10040)) % 1.31/1.55 (step @p10042 :rule not_implies_elim2 :premises (@p10041)) % 1.31/1.55 (step @p10043 :rule not_implies_elim2 :premises (@p10042)) % 1.31/1.55 (step @p10044 :rule not_implies_elim2 :premises (@p10043)) % 1.31/1.55 (step @p10045 :rule not_implies_elim2 :premises (@p10044)) % 1.31/1.55 (step @p10046 :rule not_implies_elim2 :premises (@p10045)) % 1.31/1.55 (step @p10047 :rule not_implies_elim2 :premises (@p10046)) % 1.31/1.55 (step @p10048 :rule not_implies_elim2 :premises (@p10047)) % 1.31/1.55 (step @p10049 :rule not_implies_elim2 :premises (@p10048)) % 1.31/1.55 (step @p10050 :rule not_implies_elim2 :premises (@p10049)) % 1.31/1.55 (step @p10051 :rule not_implies_elim2 :premises (@p10050)) % 1.31/1.55 (step @p10052 :rule not_implies_elim2 :premises (@p10051)) % 1.31/1.55 (step @p10053 :rule not_implies_elim2 :premises (@p10052)) % 1.31/1.55 (step @p10054 :rule not_implies_elim2 :premises (@p10053)) % 1.31/1.55 (step @p10055 :rule not_implies_elim2 :premises (@p10054)) % 1.31/1.55 (step @p10056 :rule not_implies_elim2 :premises (@p10055)) % 1.31/1.55 (step @p10057 :rule not_implies_elim2 :premises (@p10056)) % 1.31/1.55 (step @p10058 :rule not_implies_elim2 :premises (@p10057)) % 1.31/1.55 (step @p10059 :rule not_implies_elim2 :premises (@p10058)) % 1.31/1.55 (step @p10060 :rule not_implies_elim2 :premises (@p10059)) % 1.31/1.55 (step @p10061 :rule not_implies_elim2 :premises (@p10060)) % 1.31/1.55 (step @p10062 :rule not_implies_elim2 :premises (@p10061)) % 1.31/1.55 (step @p10063 :rule not_implies_elim2 :premises (@p10062)) % 1.31/1.55 (step @p10064 :rule not_implies_elim2 :premises (@p10063)) % 1.31/1.55 (step @p10065 :rule not_implies_elim2 :premises (@p10064)) % 1.31/1.55 (step @p10066 :rule not_implies_elim2 :premises (@p10065)) % 1.31/1.55 (step @p10067 :rule not_implies_elim2 :premises (@p10066)) % 1.31/1.55 (step @p10068 :rule not_implies_elim2 :premises (@p10067)) % 1.31/1.55 (step @p10069 :rule not_implies_elim2 :premises (@p10068)) % 1.31/1.55 (step @p10070 :rule not_implies_elim2 :premises (@p10069)) % 1.31/1.55 (step @p10071 :rule not_implies_elim2 :premises (@p10070)) % 1.31/1.55 (step @p10072 :rule not_implies_elim2 :premises (@p10071)) % 1.31/1.55 (step @p10073 :rule not_implies_elim2 :premises (@p10072)) % 1.31/1.55 (step @p10074 :rule not_implies_elim2 :premises (@p10073)) % 1.31/1.55 (step @p10075 :rule not_implies_elim2 :premises (@p10074)) % 1.31/1.55 (step @p10076 :rule not_implies_elim2 :premises (@p10075)) % 1.31/1.55 (step @p10077 :rule not_implies_elim2 :premises (@p10076)) % 1.31/1.55 (step @p10078 :rule not_implies_elim2 :premises (@p10077)) % 1.31/1.55 (step @p10079 :rule not_implies_elim2 :premises (@p10078)) % 1.31/1.55 (step @p10080 :rule not_implies_elim2 :premises (@p10079)) % 1.31/1.55 (step @p10081 :rule not_implies_elim2 :premises (@p10080)) % 1.31/1.55 (step @p10082 :rule not_implies_elim2 :premises (@p10081)) % 1.31/1.55 (step @p10083 :rule not_implies_elim2 :premises (@p10082)) % 1.31/1.55 (step @p10084 :rule not_implies_elim2 :premises (@p10083)) % 1.31/1.55 (step @p10085 :rule not_implies_elim2 :premises (@p10084)) % 1.31/1.55 (step @p10086 :rule not_implies_elim2 :premises (@p10085)) % 1.31/1.55 (step @p10087 :rule not_implies_elim2 :premises (@p10086)) % 1.31/1.55 (step @p10088 :rule not_implies_elim2 :premises (@p10087)) % 1.31/1.55 (step @p10089 :rule not_implies_elim2 :premises (@p10088)) % 1.31/1.55 (step @p10090 :rule not_implies_elim2 :premises (@p10089)) % 1.31/1.55 (step @p10091 :rule not_implies_elim2 :premises (@p10090)) % 1.31/1.55 (step @p10092 :rule not_implies_elim2 :premises (@p10091)) % 1.31/1.55 (step @p10093 :rule not_implies_elim2 :premises (@p10092)) % 1.31/1.55 (step @p10094 :rule not_implies_elim2 :premises (@p10093)) % 1.31/1.55 (step @p10095 :rule not_implies_elim2 :premises (@p10094)) % 1.31/1.55 (step @p10096 :rule not_implies_elim2 :premises (@p10095)) % 1.31/1.55 (step @p10097 :rule not_implies_elim2 :premises (@p10096)) % 1.31/1.55 (step @p10098 :rule not_implies_elim2 :premises (@p10097)) % 1.31/1.55 (step @p10099 :rule not_implies_elim2 :premises (@p10098)) % 1.31/1.55 (step @p10100 :rule not_implies_elim2 :premises (@p10099)) % 1.31/1.55 (step @p10101 :rule not_implies_elim2 :premises (@p10100)) % 1.31/1.55 (step @p10102 :rule not_implies_elim2 :premises (@p10101)) % 1.31/1.55 (step @p10103 :rule not_implies_elim2 :premises (@p10102)) % 1.31/1.55 (step @p10104 :rule not_implies_elim2 :premises (@p10103)) % 1.31/1.55 (step @p10105 :rule not_implies_elim2 :premises (@p10104)) % 1.31/1.55 (step @p10106 :rule not_implies_elim2 :premises (@p10105)) % 1.31/1.55 (step @p10107 :rule not_implies_elim2 :premises (@p10106)) % 1.31/1.55 (step @p10108 :rule not_implies_elim2 :premises (@p10107)) % 1.31/1.55 (step @p10109 :rule not_implies_elim2 :premises (@p10108)) % 1.31/1.55 (step @p10110 :rule not_implies_elim2 :premises (@p10109)) % 1.31/1.55 (step @p10111 :rule not_implies_elim2 :premises (@p10110)) % 1.31/1.55 (step @p10112 :rule not_implies_elim2 :premises (@p10111)) % 1.31/1.55 (step @p10113 :rule not_implies_elim2 :premises (@p10112)) % 1.31/1.55 (step @p10114 :rule not_implies_elim2 :premises (@p10113)) % 1.31/1.55 (step @p10115 :rule not_implies_elim2 :premises (@p10114)) % 1.31/1.55 (step @p10116 :rule not_implies_elim2 :premises (@p10115)) % 1.31/1.55 (step @p10117 :rule not_implies_elim2 :premises (@p10116)) % 1.31/1.55 (step @p10118 :rule not_implies_elim2 :premises (@p10117)) % 1.31/1.55 (step @p10119 :rule not_implies_elim2 :premises (@p10118)) % 1.31/1.55 (step @p10120 :rule not_implies_elim2 :premises (@p10119)) % 1.31/1.55 (step @p10121 :rule not_implies_elim2 :premises (@p10120)) % 1.31/1.55 (step @p10122 :rule not_implies_elim2 :premises (@p10121)) % 1.31/1.55 (step @p10123 :rule not_implies_elim2 :premises (@p10122)) % 1.31/1.55 (step @p10124 :rule not_implies_elim2 :premises (@p10123)) % 1.31/1.55 (step @p10125 :rule not_implies_elim2 :premises (@p10124)) % 1.31/1.55 (step @p10126 :rule not_implies_elim2 :premises (@p10125)) % 1.31/1.55 (step @p10127 :rule not_implies_elim2 :premises (@p10126)) % 1.31/1.55 (step @p10128 :rule not_implies_elim2 :premises (@p10127)) % 1.31/1.55 (step @p10129 :rule not_implies_elim2 :premises (@p10128)) % 1.31/1.55 (step @p10130 :rule not_implies_elim2 :premises (@p10129)) % 1.31/1.55 (step @p10131 :rule not_implies_elim2 :premises (@p10130)) % 1.31/1.55 (step @p10132 :rule not_implies_elim2 :premises (@p10131)) % 1.31/1.55 (step @p10133 :rule not_implies_elim2 :premises (@p10132)) % 1.31/1.55 (step @p10134 :rule not_implies_elim2 :premises (@p10133)) % 1.31/1.55 (step @p10135 :rule not_implies_elim2 :premises (@p10134)) % 1.31/1.55 (step @p10136 :rule not_implies_elim2 :premises (@p10135)) % 1.31/1.55 (step @p10137 :rule not_implies_elim2 :premises (@p10136)) % 1.31/1.55 (step @p10138 :rule not_implies_elim2 :premises (@p10137)) % 1.31/1.55 (step @p10139 :rule not_implies_elim2 :premises (@p10138)) % 1.31/1.55 (step @p10140 :rule not_implies_elim2 :premises (@p10139)) % 1.31/1.55 (step @p10141 :rule not_implies_elim2 :premises (@p10140)) % 1.31/1.55 (step @p10142 :rule not_implies_elim2 :premises (@p10141)) % 1.31/1.55 (step @p10143 :rule not_implies_elim2 :premises (@p10142)) % 1.31/1.55 (step @p10144 :rule not_implies_elim2 :premises (@p10143)) % 1.31/1.55 (step @p10145 :rule not_implies_elim2 :premises (@p10144)) % 1.31/1.55 (step @p10146 :rule not_implies_elim2 :premises (@p10145)) % 1.31/1.55 (step @p10147 :rule not_implies_elim2 :premises (@p10146)) % 1.31/1.55 (step @p10148 :rule not_implies_elim2 :premises (@p10147)) % 1.31/1.55 (step @p10149 :rule not_implies_elim2 :premises (@p10148)) % 1.31/1.55 (step @p10150 :rule not_implies_elim2 :premises (@p10149)) % 1.31/1.55 (step @p10151 :rule not_implies_elim2 :premises (@p10150)) % 1.31/1.55 (step @p10152 :rule not_implies_elim2 :premises (@p10151)) % 1.31/1.55 (step @p10153 :rule not_implies_elim2 :premises (@p10152)) % 1.31/1.55 (step @p10154 :rule not_implies_elim2 :premises (@p10153)) % 1.31/1.55 (step @p10155 :rule not_implies_elim2 :premises (@p10154)) % 1.31/1.55 (step @p10156 :rule not_implies_elim2 :premises (@p10155)) % 1.31/1.55 (step @p10157 :rule not_implies_elim2 :premises (@p10156)) % 1.31/1.55 (step @p10158 :rule not_implies_elim2 :premises (@p10157)) % 1.31/1.55 (step @p10159 :rule not_implies_elim2 :premises (@p10158)) % 1.31/1.55 (step @p10160 :rule not_implies_elim2 :premises (@p10159)) % 1.31/1.55 (step @p10161 :rule not_implies_elim2 :premises (@p10160)) % 1.31/1.55 (step @p10162 :rule not_implies_elim2 :premises (@p10161)) % 1.31/1.55 (step @p10163 :rule not_implies_elim2 :premises (@p10162)) % 1.31/1.55 (step @p10164 :rule not_implies_elim2 :premises (@p10163)) % 1.31/1.55 (step @p10165 :rule not_implies_elim2 :premises (@p10164)) % 1.31/1.55 (step @p10166 :rule not_implies_elim2 :premises (@p10165)) % 1.31/1.55 (step @p10167 :rule skolemize :premises (@p10166)) % 1.31/1.55 (step @p10168 :rule bool-double-not-elim :args (@t5090)) % 1.31/1.55 (step @p10169 :rule refl :args (@t5096)) % 1.31/1.55 (step @p10170 :rule nary_cong :premises (@p10169 @p10168) :args ((or @t5096 (not @t5091)))) % 1.31/1.55 (step @p10171 :rule cnf_or_neg :args (@t5096 4)) % 1.31/1.55 (step @p10172 :rule eq_resolve :premises (@p10171 @p10170)) % 1.31/1.55 (step @p10173 :rule reordering :premises (@p10172) :args ((or @t5090 @t5096))) % 1.31/1.55 (step @p10174 :rule chain_m_resolution :premises (@p10173 @p10167) :args (@t5090 @t5097 @t5098)) % 1.31/1.55 (step @p10175 :rule cnf_or_neg :args (@t5096 3)) % 1.31/1.55 (step @p10176 :rule chain_m_resolution :premises (@p10175 @p10167) :args ((not @t5093) @t5097 @t5098)) % 1.31/1.55 (step @p10177 :rule cnf_or_pos :args (@t5099)) % 1.31/1.55 (step @p10178 :rule reordering :premises (@p10177) :args ((or @t5093 @t5091 @t5100))) % 1.31/1.55 (step @p10179 :rule chain_m_resolution :premises (@p10178 @p10176 @p10174) :args (@t5100 @t5101 (@list @t5093 @t5090))) % 1.31/1.55 (assume-push @p10186 @t2260) % 1.31/1.55 (step @p10181 :rule instantiate :premises (@p10014) :args ((@list @t5088 @t5092 @t5089))) % 1.31/1.55 (step-pop @p10187 :rule scope :premises (@p10181)) % 1.31/1.55 (step @p10182 :rule process_scope :premises (@p10187) :args (@t5099)) % 1.31/1.55 (step @p10184 :rule implies_elim :premises (@p10182)) % 1.31/1.55 (step @p10185 false :rule chain_m_resolution :premises (@p10184 @p10179 @p10014) :args (false @t5101 (@list @t5099 @t2260))) % 1.31/1.55 ) % 1.31/1.55 % SZS output end Proof % 1.31/1.55 % cvc5 exiting %------------------------------------------------------------------------------